From ac17f26c048c6760106559d75394b4fa4cbf6579 Mon Sep 17 00:00:00 2001 From: Samuel Brand <48288458+SamuelBrand1@users.noreply.github.com> Date: Mon, 16 Feb 2026 13:48:26 +0000 Subject: [PATCH 01/10] initial commit --- docs/Project.toml | 3 +- docs/make.jl | 16 +- docs/make_vignettes.jl | 17 + docs/vignettes/tutorial.jl | 671 +++++++++++++++++++++++++++++++++++++ 4 files changed, 701 insertions(+), 6 deletions(-) create mode 100644 docs/make_vignettes.jl create mode 100644 docs/vignettes/tutorial.jl diff --git a/docs/Project.toml b/docs/Project.toml index 5fc877d..6313ee5 100644 --- a/docs/Project.toml +++ b/docs/Project.toml @@ -4,9 +4,10 @@ CairoMakie = "13f3f980-e62b-5c42-98c6-ff1f3baf88f0" Dates = "ade2ca70-3891-5945-98fb-dc099432e06a" Distributions = "31c24e10-a181-5473-b8eb-7969acd0382f" Documenter = "e30172f5-a6a5-5a46-863b-614d45cd2de4" +Literate = "98b081ad-f1c9-55d3-8b20-4c87d4299306" NowcastAutoGP = "7e9f7f4b-f590-4c14-8324-de4fcbed18f7" Random = "9a3f8284-a2c9-5f02-9a11-845980a1fd5c" TidierData = "fe2206b3-d496-4ee9-a338-6a095c4ece80" [sources] -NowcastAutoGP = {path = "./.."} +NowcastAutoGP = {path = ".."} diff --git a/docs/make.jl b/docs/make.jl index c76c272..d787426 100644 --- a/docs/make.jl +++ b/docs/make.jl @@ -1,6 +1,16 @@ using Documenter +using Literate using NowcastAutoGP +pages = ["Home" => "index.md"] +# Generate Documenter-flavored markdown from Literate.jl scripts +# Add them to the `pages` list to include them in the documentation navigation +include("make_vignettes.jl") + +# Generate API reference documentation from docstrings in the source code +push!(pages, "API Reference" => "api.md") + + makedocs( sitename = "NowcastAutoGP.jl", authors = "Centers for Disease Control and Prevention", @@ -11,11 +21,7 @@ makedocs( assets = ["assets/material-theme.css", "assets/material-theme.js"], mathengine = Documenter.MathJax3() ), - pages = [ - "Home" => "index.md", - "Getting started" => "vignettes/tutorial.md", - "API Reference" => "api.md", - ], + pages = pages, clean = true, checkdocs = :exports ) diff --git a/docs/make_vignettes.jl b/docs/make_vignettes.jl new file mode 100644 index 0000000..52789b7 --- /dev/null +++ b/docs/make_vignettes.jl @@ -0,0 +1,17 @@ +vignettes_to_make = [ + "Getting started" => "tutorial.jl", +] + +# Generate Documenter-flavored markdown from Literate.jl scripts +for vignette_pair in vignettes_to_make + vignettefile = vignette_pair.second + Literate.markdown( + joinpath(@__DIR__, "vignettes", vignettefile), + joinpath(@__DIR__, "src", "vignettes"); + eval = false, + flavor = Literate.DocumenterFlavor(), + mdstrings = true, + credit = true + ) + push!(pages, vignette_pair.first => "vignettes/$(replace(vignettefile, ".jl" => ".md"))") +end diff --git a/docs/vignettes/tutorial.jl b/docs/vignettes/tutorial.jl new file mode 100644 index 0000000..9fdcae0 --- /dev/null +++ b/docs/vignettes/tutorial.jl @@ -0,0 +1,671 @@ +using Markdown +md""" +# Getting Started with `NowcastAutoGP` + +*Combining nowcasting and `AutoGP`* + +**CDC Center for Forecasting and Outbreak Analytics (CFA/CDC)** + +## Introduction + +This tutorial demonstrates how to use `NowcastAutoGP` for epidemiological +forecasting - making forecasts of future disease activity despite reporting +delays making the latest data unreliable. +This is a common challenge in public health surveillance where case reports +arrive with delays. +In this tutorial, we will want to forecast future weekly hospital admissions +with confirmed Covid diagnosis despite uncertainty around the eventual value +of recent admissions. +The reason for the uncertainty is that despite _eventually_ having a record +of severe cases arriving in a given week (we call this the reference date), +at any given reporting week (we call this the report date) recent reference +dates will not have complete data. + +## What is Nowcasting? + +The time series Gaussian process structure discovery and ensemble +forecast package [`AutoGP.jl`](https://github.com/probsys/AutoGP.jl) is +highly impressive, but doesn't include features for ingesting the kind +of data we expect from a signal that needs significant nowcasting to +become reliable. + +`NowcastAutoGP` is an extension of `AutoGP` that uses `AutoGP`'s +incremental inference features to include nowcasting results into the +forecasting problem. + +When forecasting a time series + +```math +X_T[1:T] = (X_{t,T})_{t=1:T} +``` + +on report date $T$ we split between data on a backwards horizon $D$ where we +consider older data "confirmed" + +```math +X_T[1:(T-D)] = (X_{t,T})_{t=1:(T-D)} +``` + +that we don't expect any further revision to; that is we expect that +```math +X_T[1:(T-D)] = X_\infty[1:(T-D)]. +``` + +The rest of the data we consider +"unconfirmed" $X_T[(T-D+1):T]$ where we expect potentially significant +future revisions and $X_T[(T-D+1):T] \neq X_\infty[(T-D+1):T]$. + +Suppose, we have a nowcasting model that generates $K$ samples that +forecast the *eventual* time series over the uncertain data period the +$k$th sample being + +```math +X^{(k)}_\infty[(T-D+1):T] = (X^{(k)}_{t,\infty})_{t=(T-D+1):T}; +``` + +for example by sampling from the posterior distribution. Then we can improve +our `AutoGP` forecasting for the *eventual* value on reference date +$f > T$ by replacing our "naive" forecast distribution: + +```math +\mathbb{P}(X_{f,\infty} | X_T[1:(T-D)], X_T[(T-D+1):T]) +``` + +with the nowcast estimate for the uncertain data: + +```math +\mathbb{P}(X_{f,\infty} \mid X_T[1:(T-D)], X_\infty[(T-D+1):T]) = \frac{1}{K} \sum_k \mathbb{P}(X_{f,\infty} | X_T[1:(T-D)], X^{(k)}_\infty[(T-D+1):T]) +``` + +This kind of forecasting is particularly convenient for `AutoGP`: we can +use the standard end-to-end inference for the confirmed data and then +batch over the sampled nowcasts using incremental inference. + +## Methodology overview + +The main functions we offer for inference and forecasting are: + +- `NowcastAutoGP.make_and_fit_model`: This wraps `AutoGP` functionality to make inference on the **stable** part of the time series data using sequential Monte Carlo (SMC) over sequences of data ingestion over `n_particle` SMC particles. Each particle represents a Gaussian process (GP) model for the time series, and at each data ingestion step this particle ensemble can be resampled. Within each SMC particle new possible GP kernel structures and hyperparmeter values are proposed using a specialised MCMC proposal distribution for structural choices (see [`AutoGP` overview](https://probsys.github.io/AutoGP.jl/stable/api.html) for details) and HMC for continuous parameter samples. + +- `NowcastAutoGP.forecast_with_nowcasts`: This batches over proposed nowcasts for recent data, incrementally adding nowcast _possible_ data to make forecasts before removing. The forecast distribution is the batch of forecasts over nowcasts of recent data. + +# Using `NowcastAutoGP` with NHSN hospitalisation data + +## Loading dependencies +""" + +using NowcastAutoGP +using CairoMakie +using Dates, Distributions, Random +using CSV, TidierData + +Random.seed!(123) +CairoMakie.activate!(type = "png") +nothing #hide + +md""" +## Loading Surveillance Data + +We are going to demonstrate using `NowcastAutoGP` for forecasting the CDC's +National Healthcare Safety Network (NHSN) reported Covid hospitalisations. +We stored a vintaged data set locally. +""" +datapath = joinpath(pkgdir(NowcastAutoGP), "docs", "vignettes", "data", "vintaged_us_nhsn_data.csv") +nhsn_vintage_covid_data = CSV.read(datapath, DataFrame) + + +unique_dates = sort(unique(nhsn_vintage_covid_data.reference_date)) # Add time_index column for plotting (1 = minimum date, 2 = next date, etc.) +d2index(d) = (d - minimum(unique_dates)).value + +nhsn_vintage_covid_data = @mutate(nhsn_vintage_covid_data, time_index = d2index(reference_date)) +@glimpse(nhsn_vintage_covid_data) + +md""" +We see that the most recent report date, especially, is often revised +upward eventually. +""" + +unique_report_dates = sort(unique(nhsn_vintage_covid_data.report_date)) +## Select every 4th report date, but always include the latest one +selected_dates = unique_report_dates[1:4:end] +if unique_report_dates[end] ∉ selected_dates + selected_dates = vcat(selected_dates, unique_report_dates[end]) +end +n_dates = length(selected_dates) + +## Create figure +fig = Figure(size = (800, 600)) +ax = Axis(fig[1, 1], + xlabel = "Reference Date", + ylabel = "NHSN confirmed Covid hospitalisations", + title = "Reference Date vs Confirm by Report Date (Oct 2024+, all US)" +) + +## Generate colors - latest date will be black +colors = [i == n_dates ? :black : Makie.wong_colors()[mod1(i, 7)] for i in 1:n_dates] + +## Plot each selected report date using time_index +for (report_date, color) in zip(selected_dates, colors) + date_data = @chain nhsn_vintage_covid_data begin + @filter(report_date == !!report_date) + @arrange(reference_date) + end + + scatterlines!(ax, date_data.time_index, date_data.confirm, + color = color, + label = string(report_date), + markersize = 8, + linewidth = 2 + ) +end + +## Set up custom x-axis with date strings +plot_start_date = Date(2024, 10, 1) +plot_end_date = Date(2025, 10, 1) + +## Create tick positions and labels (show every 4 weeks ≈ monthly) +tick_dates = range(plot_start_date, step = Week(4), length = 13) +tick_indices = d2index.(tick_dates) +tick_labels = [monthname(d)[1:3] * "-" * string(d)[(end - 1):end] for d in tick_dates] + +ax.xticks = (tick_indices, tick_labels) + +## Add legend +axislegend(ax, "report dates"; position = :rt) +xlims!(ax, d2index(plot_start_date), d2index(plot_end_date)) +ylims!(ax, 0, 2.2e4) +resize_to_layout!(fig) +fig + +md""" +### Training data + +We know that some recent periods have had bad reporting for NHSN, so we +exclude them from the training data. +""" + +exclusion_periods = [(Date(2024, 5, 1), Date(2024, 6, 1)), + (Date(2024, 10, 1), Date(2024, 11, 15))] + +training_data = let + function in_any_period(d) + in_periods = [d >= period[1] && d <= period[2] for period in exclusion_periods] + return ~any(in_periods) + end + + @chain nhsn_vintage_covid_data begin + @filter(in_any_period(reference_date)) + end +end +@glimpse(training_data) + +md""" +### Utility functions + +We add two utility functions to this tutorial that wrap some `NowcastAutoGP` +capabilities: + +A `fit_on_data` function that does the core workflow on confirmed data: + +1. Transforms the time series into the unconstrained domain. We use an + optimized Box-Cox transform to "normalize" the data. +2. Redact some of the recent data, either for poor quality or in + preparation for nowcasting. +3. Passes to the `make_and_fit_model` function. +""" + +function fit_on_data(report_date; + n_redact, + max_ahead = 8, + date_data = date_data, + n_particles = 24, + smc_data_proportion = 0.1, + n_mcmc = 50, n_hmc = 50) + + ## Dates to forecast + forecast_dates = [maximum(date_data.reference_date) + Week(k) for k = 0:max_ahead] + + transformation, inv_transformation = get_transformations("boxcox", date_data.confirm) + data_to_fit = create_transformed_data(date_data.reference_date[1:(end - n_redact)], date_data.confirm[1:(end - n_redact)]; transformation) + model = make_and_fit_model(data_to_fit; + n_particles, + smc_data_proportion, + n_mcmc, n_hmc) + return model, forecast_dates, transformation, inv_transformation +end +nothing #hide + +md""" +We also give a handy plotting utility for plotting our results. +""" + +function plot_with_forecasts(forecasts, title::String; + n_ahead, + selected_dates, + colors = colors, + covid_data = nhsn_vintage_covid_data, + plot_start_date = plot_start_date, + plot_end_date = plot_end_date, + y_lim_up = 2.2e4, + size = (1000, 700), + xticks = (tick_indices, tick_labels), +) + + fig = Figure(size = size) + ax = Axis(fig[1, 1], + xlabel = "Date", + ylabel = "NHSN confirmed Covid hospitalizations", + title = title + ) + + ## Plot forecasts + for (report_date, forecast, color) in zip(selected_dates, forecasts, colors) + + date_data = @chain nhsn_vintage_covid_data begin + @filter(report_date == !!report_date) + @arrange(reference_date) + end + + ## Plot historical data as light lines + scatterlines!(ax, date_data.time_index, date_data.confirm, + color = color, + linewidth = 2, + label = "$(report_date) data" + ) + + ## Extract quantiles for forecasts + q25 = forecast.iqrs[1:n_ahead, 1] + median = forecast.iqrs[1:n_ahead, 2] + q75 = forecast.iqrs[1:n_ahead, 3] + forecast_indices = d2index.(forecast.dates)[1:n_ahead] + + ## Plot uncertainty band (25%-75%) + band!(ax, forecast_indices, q25, q75, + color = (color, 0.3), + ) + + ## Plot median forecast + lines!(ax, forecast_indices, median, + color = color, + linewidth = 3, + linestyle = :dash, + ) + end + + ## Add legend + axislegend(ax, "report dates"; position = :rt) + xlims!(ax, d2index(plot_start_date), d2index(plot_end_date)) + ylims!(ax, 0, y_lim_up) + ax.xticks = xticks + resize_to_layout!(fig) + return fig +end +nothing #hide + +md""" +## Forecasting + +### Approach 1: Forecasting naively + +Naively, we could just use `AutoGP` on the latest reported data without +considering revisions. +This will be biased because we know that typically the most recent data +will be revised upwards, but represents a common error when using this +data stream. +""" + +n_forecasts = 2000 +naive_forecasts_by_reference_date = map(selected_dates) do report_date + ## Filter for correct report date + date_data = @chain training_data begin + @filter(report_date == !!report_date) + @arrange(reference_date) + end + model, forecast_dates, transformation, inv_transformation = fit_on_data(report_date; + n_redact = 0, + date_data = date_data, + ) + forecasts = forecast(model, forecast_dates, n_forecasts; inv_transformation) + + iqr_forecasts = mapreduce(vcat, eachrow(forecasts)) do fc + qs = quantile(fc, [0.25, 0.5, 0.75]) + qs' + end + + return (dates = forecast_dates, forecasts = forecasts, iqrs = iqr_forecasts) +end +nothing #hide + +md""" +When we plot we see that the unrevised data consistently underestimates +the eventual counts, which leads to poor forecasting. +""" + +plot_with_forecasts(naive_forecasts_by_reference_date, "Forecasts from Different Report Dates (naive)"; + n_ahead = 4, + selected_dates = selected_dates, +) + +md""" +### Approach 2: Removing uncertain data + +We note that the problem is _mainly_ with the most recent week of +hospitalisation reports. +Therefore, another strategy could be to simply redact that week but +otherwise leave out forecasting untouched. +""" + +leave_out_last_forecasts_by_reference_date = map(selected_dates) do report_date + date_data = @chain training_data begin + @filter(report_date == !!report_date) + @arrange(reference_date) + end + model, forecast_dates, transformation, inv_transformation = fit_on_data(report_date; + n_redact = 1, + date_data = date_data, + ) + forecasts = forecast(model, forecast_dates, n_forecasts; inv_transformation) + + iqr_forecasts = mapreduce(vcat, eachrow(forecasts)) do fc + qs = quantile(fc, [0.25, 0.5, 0.75]) + qs' + end + + return (dates = forecast_dates, forecasts = forecasts, iqrs = iqr_forecasts) +end +nothing #hide +md""" +This looks improved but the forecasts have quite large prediction +intervals (we have effectively bumped the forecast horizon by one week). +""" +plot_with_forecasts(leave_out_last_forecasts_by_reference_date, "Forecasts from Different Report Dates (Leave out last week)"; + n_ahead = 4, + selected_dates = selected_dates, +) + +md""" +### Approaches 3 and 4: Forecasting with a simple nowcast + +Now lets consider a really simple nowcasting model. +Over recent vintages we notice that the most recent week gets revised +significantly but other weeks are fairly stable. +Therefore, we fit the ratio of last weeks report to last weeks eventual +reported to a LogNormal. The MLE fit for this was +LogNormal(logmean = 0.1, logstd = 0.027). + +In the following examples, for each vintage we first fit to all the data +except the most recent week (`n_redact = 1`). +Second, we sample a multiplier for the most recent week from the +LogNormal distribution 100 times. +Third, we use `forecast_with_nowcasts` to batch 20 forecasts per +nowcast signal on top of the inference done in step one. + +This is a very simple nowcasting approach! +Note that cached nowcasts from a more sophisticated approach, such as a +full generative model defined by e.g. +[`epinowcast`](https://package.epinowcast.org/) or +[`baselinenowcast`](https://baselinenowcast.epinowcast.org/), could have +been deserialized into this approach. + +We compare two variants: +- **Approach 3** uses the original forecasting method, drawing all forecast + samples from the GP predictive distribution without refining + hyperparameters between draws (`forecast_n_hmc=0`). +- **Approach 4** interleaves HMC parameter refinement between forecast + draws (`forecast_n_hmc=1`), which increases ensemble diversity and + forecast quality. + +#### Approach 3: Nowcast without interleaved HMC +""" + +n_nowcast_samples = 100 +nowcast_no_hmc_forecasts_by_reference_date = map(selected_dates) do report_date + ## Filter for correct report date + date_data = @chain training_data begin + @filter(report_date == !!report_date) + @arrange(reference_date) + end + ## Fit on all accepted data + model, forecast_dates, transformation, inv_transformation = fit_on_data(report_date; + n_redact = 1, + date_data = date_data, + ) + ## Simple nowcast on most recent data where we suspect significant revisions + nowcast_samples = [[date_data.confirm[end] * exp(0.1 + randn() * 0.027)] for _ in 1:n_nowcast_samples] + + nowcasts = create_nowcast_data(nowcast_samples, [date_data.reference_date[end]]; + transformation = transformation) + + forecasts = forecast_with_nowcasts(model, nowcasts, forecast_dates, n_forecasts ÷ n_nowcast_samples; + inv_transformation, forecast_n_hmc = 0) + + iqr_forecasts = mapreduce(vcat, eachrow(forecasts)) do fc + qs = quantile(fc, [0.25, 0.5, 0.75]) + qs' + end + + return (dates = forecast_dates, forecasts = forecasts, iqrs = iqr_forecasts) +end +nothing #hide + + +plot_with_forecasts(nowcast_no_hmc_forecasts_by_reference_date, "Forecasts from Different Report Dates (Nowcast, no interleaved HMC)"; + n_ahead = 4, + selected_dates = selected_dates, +) + + +md""" +#### Approach 4: Nowcast with interleaved HMC + +Using the same nowcasting setup, we now enable interleaved HMC parameter +refinement between forecast draws. This allows the GP hyperparameters to +be refined between each forecast sample, producing a more diverse and +better-calibrated forecast ensemble. +""" + +nowcast_hmc_forecasts_by_reference_date = map(selected_dates) do report_date + ## Filter for correct report date + date_data = @chain training_data begin + @filter(report_date == !!report_date) + @arrange(reference_date) + end + ## Fit on all accepted data + model, forecast_dates, transformation, inv_transformation = fit_on_data(report_date; + n_redact = 1, + date_data = date_data, + ) + ## Simple nowcast on most recent data where we suspect significant revisions + nowcast_samples = [[date_data.confirm[end] * exp(0.1 + randn() * 0.027)] for _ in 1:n_nowcast_samples] + + nowcasts = create_nowcast_data(nowcast_samples, [date_data.reference_date[end]]; + transformation = transformation) + + forecasts = forecast_with_nowcasts(model, nowcasts, forecast_dates, n_forecasts ÷ n_nowcast_samples; + inv_transformation, forecast_n_hmc = 1) + + iqr_forecasts = mapreduce(vcat, eachrow(forecasts)) do fc + qs = quantile(fc, [0.25, 0.5, 0.75]) + qs' + end + + return (dates = forecast_dates, forecasts = forecasts, iqrs = iqr_forecasts) +end +nothing #hide + +# We see that this significantly improves the forecasting visually. + +plot_with_forecasts(nowcast_hmc_forecasts_by_reference_date, "Forecasts from Different Report Dates (Nowcast, with interleaved HMC)"; + n_ahead = 4, + selected_dates = selected_dates, +) + +md""" +## Scoring + +To evaluate the quality of our different forecasting approaches, we use +proper scoring rules. +A proper scoring rule is a function that assigns a numerical score to a +probabilistic forecast, with the property that the score is optimized +(in expectation) when the forecast distribution matches the true future +data distribution. + +The **Continuous Ranked Probability Score (CRPS)** is a proper scoring +rule that generalizes the absolute error to probabilistic forecasts. For +a forecast distribution $F(x) = P(X \leq x)$ and observed outcome $y$, +the CRPS is defined as: + +```math +\text{CRPS}(X, y) = \mathbb{E}[|X - y|] - \frac{1}{2}\mathbb{E}[|X_1 - X_2|] +``` + +where the first term measures the distance between the forecast ensemble +and the observation, and the second term measures the spread of the +forecast ensemble. + +For a forecast ensemble $X = \{X_1, X_2, \ldots, X_n\}$, this can be +estimated using an empirical sum. + +**Note:** For production forecasting evaluation, we recommend using the +comprehensive [`scoringutils`](https://epiforecasts.io/scoringutils/) R +package, which provides robust implementations of proper scoring rules, +forecast evaluation diagnostics, and visualization tools specifically +designed for epidemiological forecasting. + +Let's implement a simple CRPS function and functions for getting the +mean CRPS score over reporting dates and forecast horizons in order to +compare our four forecasting approaches: +""" + +function crps(y::Real, X::Vector{<:Real}) + n = length(X) + + ## First term: E|X - y| + term1 = mean(abs.(X .- y)) + + ## Second term: E|X_1 - X_2| + ## Calculate all ordered pairwise differences + ordered_pairwise_diffs = [abs(X[i] - X[j]) for i in 1:n for j in (i + 1):n] + term2 = mean(ordered_pairwise_diffs) + + ## CRPS = E|X - y| - 0.5 * E|X_1 - X_2| + return term1 - 0.5 * term2 +end + +function score_forecast(latestdata, forecast_dates, F; max_horizon = 4, data_transform = x -> x) + @assert max_horizon <= length(forecast_dates) "Not enough data to score full horizon" + score_dates = forecast_dates[1:max_horizon] + scorable_data = @filter(latestdata, reference_date in !!score_dates) + S = mapreduce(+, scorable_data.confirm[1:max_horizon], eachrow(F.forecasts[1:max_horizon, :])) do y, X + crps(data_transform(y), data_transform.(X)) + end + return S / max_horizon +end + +function score_all_forecasts(latestdata, forecasts; max_horizon = 4, data_transform = x -> x) + total_score = mapreduce(+, forecasts; init = 0.0) do F + forecast_dates = F.dates + score_forecast(latestdata, forecast_dates, F; max_horizon, data_transform) + end + return total_score / length(forecasts) +end +nothing #hide + +# We can apply the scoring to each forecasting method, leaving out the +# most recent forecasts (where we don't have all the data to score them). + +most_recent_report_date = maximum(selected_dates) +latestdata = @filter(nhsn_vintage_covid_data, report_date == !!most_recent_report_date) + +scores = map([ + naive_forecasts_by_reference_date, + leave_out_last_forecasts_by_reference_date, + nowcast_no_hmc_forecasts_by_reference_date, + nowcast_hmc_forecasts_by_reference_date, +]) do F + score_all_forecasts(latestdata, F[1:(end - 2)]; data_transform = identity) +end +nothing #hide + +# Then we can plot these scores as score ratios relative to the best +# approach (nowcast with interleaved HMC). + +## Calculate score ratios compared to nowcast with HMC (baseline) +baseline_score = scores[4] +score_ratios = [score / baseline_score for score in scores] + +## Create bar plot comparing score ratios +method_names = ["Naive", "Leave Out\nLast", "Nowcast\n(no HMC)", "Nowcast\n(+ HMC)"] + +fig = Figure(size = (700, 400)) +ax = Axis(fig[1, 1], + xlabel = "Forecasting Method", + ylabel = "Score Ratio (lower is better)", + title = "Forecast Performance: Score Ratios vs Nowcast + HMC" +) + +## Create bar plot with different colors based on performance +bar_colors = [ratio > 1 ? :red : ratio == 1 ? :green : :blue for ratio in score_ratios] +barplot!(ax, 1:4, score_ratios, + color = bar_colors, + alpha = 0.7, + strokewidth = 2, + strokecolor = :black) + +## Add value labels on top of bars +for (i, ratio) in enumerate(score_ratios) + text!(ax, i, ratio + 0.02, text = string(round(ratio, digits = 2)), + align = (:center, :bottom), fontsize = 12) +end + +## Add horizontal line at y=1 for reference (baseline) +hlines!(ax, [1], color = :black, linestyle = :dash, linewidth = 1) + +## Set x-axis labels +ax.xticks = (1:4, method_names) + +## Add some padding to y-limits +y_max = maximum(score_ratios) +ylims!(ax, 0.8, y_max + 0.1) + +resize_to_layout!(fig) +fig +md""" +### Results and Interpretation + +The score ratios clearly show progressive improvement across approaches: + +1. **Naive forecasting performs worst** - The score ratio shows that + naive forecasting is significantly worse than the baseline + (ratio > 1), demonstrating that using the most recent reported data + without any adjustment for reporting delays leads to systematically + poor forecast accuracy. This approach fails to account for the known + issue that recent hospitalizations are significantly under-reported. + +2. **Leaving out the last week shows intermediate performance** - This + approach achieves a score ratio between the naive method and the + nowcasting approaches, indicating improved performance over naive + forecasting but still worse than nowcasting. While excluding the + most recent (and most uncertain) week removes problematic reporting + delays, it effectively increases our forecast horizon by one week, + leading to increased uncertainty in predictions. + +3. **Nowcasting without interleaved HMC** - Even without HMC refinement + between forecast draws, the simple nowcasting approach substantially + outperforms both non-nowcasting alternatives. This demonstrates the + value of explicitly modelling reporting delays rather than simply + ignoring uncertain data. + +4. **Nowcasting with interleaved HMC provides the best performance** - + By interleaving HMC parameter refinement between forecast draws, we + achieve the best score. The HMC steps allow the GP hyperparameters + to adapt between draws, producing a more diverse and + better-calibrated forecast ensemble. + +These results support the core motivation for `NowcastAutoGP` - that +combining nowcasting with sophisticated time series modeling can +significantly improve forecast accuracy in real-world surveillance +scenarios where reporting delays are common. The additional improvement +from interleaved HMC demonstrates that forecast ensemble quality +benefits from hyperparameter refinement between draws. +""" From 5fc5bf522e17600480a11dc0d1df2e60c025e046 Mon Sep 17 00:00:00 2001 From: Samuel Brand <48288458+SamuelBrand1@users.noreply.github.com> Date: Wed, 18 Feb 2026 11:30:34 +0000 Subject: [PATCH 02/10] update the example --- docs/Project.toml | 3 + docs/make.jl | 1 - docs/vignettes/tutorial.jl | 306 +++++++++++++++++++++++-------------- src/forecasting.jl | 19 ++- 4 files changed, 207 insertions(+), 122 deletions(-) diff --git a/docs/Project.toml b/docs/Project.toml index 6313ee5..ec44a3e 100644 --- a/docs/Project.toml +++ b/docs/Project.toml @@ -1,4 +1,5 @@ [deps] +AutoGP = "6eb593e7-dfb4-4e48-b98e-d7222cdf0053" CSV = "336ed68f-0bac-5ca0-87d4-7b16caf5d00b" CairoMakie = "13f3f980-e62b-5c42-98c6-ff1f3baf88f0" Dates = "ade2ca70-3891-5945-98fb-dc099432e06a" @@ -6,6 +7,8 @@ Distributions = "31c24e10-a181-5473-b8eb-7969acd0382f" Documenter = "e30172f5-a6a5-5a46-863b-614d45cd2de4" Literate = "98b081ad-f1c9-55d3-8b20-4c87d4299306" NowcastAutoGP = "7e9f7f4b-f590-4c14-8324-de4fcbed18f7" +Parameters = "d96e819e-fc66-5662-9728-84c9c7592b0a" +ProgressMeter = "92933f4c-e287-5a05-a399-4b506db050ca" Random = "9a3f8284-a2c9-5f02-9a11-845980a1fd5c" TidierData = "fe2206b3-d496-4ee9-a338-6a095c4ece80" diff --git a/docs/make.jl b/docs/make.jl index d787426..13f862e 100644 --- a/docs/make.jl +++ b/docs/make.jl @@ -10,7 +10,6 @@ include("make_vignettes.jl") # Generate API reference documentation from docstrings in the source code push!(pages, "API Reference" => "api.md") - makedocs( sitename = "NowcastAutoGP.jl", authors = "Centers for Disease Control and Prevention", diff --git a/docs/vignettes/tutorial.jl b/docs/vignettes/tutorial.jl index 9fdcae0..f5d8d44 100644 --- a/docs/vignettes/tutorial.jl +++ b/docs/vignettes/tutorial.jl @@ -98,6 +98,8 @@ using NowcastAutoGP using CairoMakie using Dates, Distributions, Random using CSV, TidierData +using Parameters: @unpack +using NowcastAutoGP: make_and_fit_model Random.seed!(123) CairoMakie.activate!(type = "png") @@ -110,14 +112,18 @@ We are going to demonstrate using `NowcastAutoGP` for forecasting the CDC's National Healthcare Safety Network (NHSN) reported Covid hospitalisations. We stored a vintaged data set locally. """ -datapath = joinpath(pkgdir(NowcastAutoGP), "docs", "vignettes", "data", "vintaged_us_nhsn_data.csv") +datapath = joinpath( + pkgdir(NowcastAutoGP), "docs", "vignettes", "data", "vintaged_us_nhsn_data.csv" +) nhsn_vintage_covid_data = CSV.read(datapath, DataFrame) - unique_dates = sort(unique(nhsn_vintage_covid_data.reference_date)) # Add time_index column for plotting (1 = minimum date, 2 = next date, etc.) d2index(d) = (d - minimum(unique_dates)).value -nhsn_vintage_covid_data = @mutate(nhsn_vintage_covid_data, time_index = d2index(reference_date)) +nhsn_vintage_covid_data = @mutate( + nhsn_vintage_covid_data, + time_index = d2index(reference_date) +) @glimpse(nhsn_vintage_covid_data) md""" @@ -135,7 +141,8 @@ n_dates = length(selected_dates) ## Create figure fig = Figure(size = (800, 600)) -ax = Axis(fig[1, 1], +ax = Axis( + fig[1, 1], xlabel = "Reference Date", ylabel = "NHSN confirmed Covid hospitalisations", title = "Reference Date vs Confirm by Report Date (Oct 2024+, all US)" @@ -151,7 +158,8 @@ for (report_date, color) in zip(selected_dates, colors) @arrange(reference_date) end - scatterlines!(ax, date_data.time_index, date_data.confirm, + scatterlines!( + ax, date_data.time_index, date_data.confirm, color = color, label = string(report_date), markersize = 8, @@ -184,8 +192,10 @@ We know that some recent periods have had bad reporting for NHSN, so we exclude them from the training data. """ -exclusion_periods = [(Date(2024, 5, 1), Date(2024, 6, 1)), - (Date(2024, 10, 1), Date(2024, 11, 15))] +exclusion_periods = [ + (Date(2024, 5, 1), Date(2024, 6, 1)), + (Date(2024, 10, 1), Date(2024, 11, 15)), +] training_data = let function in_any_period(d) @@ -211,27 +221,44 @@ A `fit_on_data` function that does the core workflow on confirmed data: optimized Box-Cox transform to "normalize" the data. 2. Redact some of the recent data, either for poor quality or in preparation for nowcasting. -3. Passes to the `make_and_fit_model` function. +3. Passes to the `make_and_fit_model` function from `NowcastAutoGP`. """ -function fit_on_data(report_date; - n_redact, - max_ahead = 8, - date_data = date_data, - n_particles = 24, - smc_data_proportion = 0.1, - n_mcmc = 50, n_hmc = 50) +function fit_on_data( + report_date; + n_redact, + max_ahead = 8, + training_data = training_data, + n_particles = 24, + smc_data_proportion = 0.1, + n_mcmc = 50, n_hmc = 50 + ) + + ## Filter for correct report date + date_data = @chain training_data begin + @filter(report_date == !!report_date) + @arrange(reference_date) + end ## Dates to forecast - forecast_dates = [maximum(date_data.reference_date) + Week(k) for k = 0:max_ahead] + forecast_dates = [maximum(date_data.reference_date) + Week(k) for k in 0:max_ahead] transformation, inv_transformation = get_transformations("boxcox", date_data.confirm) - data_to_fit = create_transformed_data(date_data.reference_date[1:(end - n_redact)], date_data.confirm[1:(end - n_redact)]; transformation) - model = make_and_fit_model(data_to_fit; + data_to_fit = create_transformed_data( + date_data.reference_date[1:(end - n_redact)], + date_data.confirm[1:(end - n_redact)]; transformation + ) + data_to_revise = ( + revise_dates = date_data.reference_date[(end - n_redact + 1):end], + revise_values = date_data.confirm[(end - n_redact + 1):end], + ) + model = make_and_fit_model( + data_to_fit; n_particles, smc_data_proportion, - n_mcmc, n_hmc) - return model, forecast_dates, transformation, inv_transformation + n_mcmc, n_hmc + ) + return model, forecast_dates, transformation, inv_transformation, data_to_revise end nothing #hide @@ -239,20 +266,21 @@ md""" We also give a handy plotting utility for plotting our results. """ -function plot_with_forecasts(forecasts, title::String; - n_ahead, - selected_dates, - colors = colors, - covid_data = nhsn_vintage_covid_data, - plot_start_date = plot_start_date, - plot_end_date = plot_end_date, - y_lim_up = 2.2e4, - size = (1000, 700), - xticks = (tick_indices, tick_labels), -) - +function plot_with_forecasts( + forecasts, title::String; + n_ahead, + selected_dates, + colors = colors, + covid_data = nhsn_vintage_covid_data, + plot_start_date = plot_start_date, + plot_end_date = plot_end_date, + y_lim_up = 2.2e4, + size = (1000, 700), + xticks = (tick_indices, tick_labels) + ) fig = Figure(size = size) - ax = Axis(fig[1, 1], + ax = Axis( + fig[1, 1], xlabel = "Date", ylabel = "NHSN confirmed Covid hospitalizations", title = title @@ -260,14 +288,14 @@ function plot_with_forecasts(forecasts, title::String; ## Plot forecasts for (report_date, forecast, color) in zip(selected_dates, forecasts, colors) - date_data = @chain nhsn_vintage_covid_data begin @filter(report_date == !!report_date) @arrange(reference_date) end ## Plot historical data as light lines - scatterlines!(ax, date_data.time_index, date_data.confirm, + scatterlines!( + ax, date_data.time_index, date_data.confirm, color = color, linewidth = 2, label = "$(report_date) data" @@ -280,15 +308,17 @@ function plot_with_forecasts(forecasts, title::String; forecast_indices = d2index.(forecast.dates)[1:n_ahead] ## Plot uncertainty band (25%-75%) - band!(ax, forecast_indices, q25, q75, - color = (color, 0.3), + band!( + ax, forecast_indices, q25, q75, + color = (color, 0.3) ) ## Plot median forecast - lines!(ax, forecast_indices, median, + lines!( + ax, forecast_indices, median, color = color, linewidth = 3, - linestyle = :dash, + linestyle = :dash ) end @@ -302,30 +332,65 @@ function plot_with_forecasts(forecasts, title::String; end nothing #hide +md""" +## Fitting models on different report dates + +Most of the nowcasting revision happens in the most recent week, so as a first step we will fit models on different report dates redacting each most recent week. +These fitted models represent an `AutoGP` fit to the "confirmed" data on each report date. +In the next section we will use these fits to make forecasts with different nowcasting approaches. +""" + +fitted_models_by_report_date = map(selected_dates) do report_date + model, forecast_dates, + transformation, + inv_transformation, data_to_revise = fit_on_data( + report_date; + n_redact = 1, + training_data = training_data + ) + return ( + model = model, forecast_dates = forecast_dates, + transformation = transformation, inv_transformation = inv_transformation, + data_to_revise = data_to_revise + ) +end +nothing #hide + md""" ## Forecasting +In this section we will use the fitted models to make forecasts of future confirmed hospitalisations. +We will compare four approaches: + +1. Forecasting naively. +2. Removing uncertain data. +3. Forecasting with a simple nowcast without interleaved HMC. +4. Forecasting with a simple nowcast with interleaved HMC. + ### Approach 1: Forecasting naively -Naively, we could just use `AutoGP` on the latest reported data without -considering revisions. +Naively, we could just use the latest reported data without considering revisions. +This approach is equivalent to creating the "nowcast" by taking the latest reported data as the best estimate of the eventual data, which is a common mistake when using data with reporting delays. This will be biased because we know that typically the most recent data will be revised upwards, but represents a common error when using this data stream. """ n_forecasts = 2000 -naive_forecasts_by_reference_date = map(selected_dates) do report_date - ## Filter for correct report date - date_data = @chain training_data begin - @filter(report_date == !!report_date) - @arrange(reference_date) - end - model, forecast_dates, transformation, inv_transformation = fit_on_data(report_date; - n_redact = 0, - date_data = date_data, +naive_forecasts_by_reference_date = map(fitted_models_by_report_date) do fitted_model + @unpack model, forecast_dates, transformation, inv_transformation, data_to_revise = fitted_model + + ## Create a "naive" nowcast by taking the latest reported data as the best estimate of the eventual data + ## NB: we wrap the single nowcast in a vector to be compatible with the nowcast input "vector of vectors" format + naive_nowcasts = create_nowcast_data( + [data_to_revise.revise_values], data_to_revise.revise_dates; + transformation = transformation + ) + + forecasts = forecast_with_nowcasts( + model, naive_nowcasts, forecast_dates, n_forecasts; + inv_transformation, ess_threshold = 2.0 ) - forecasts = forecast(model, forecast_dates, n_forecasts; inv_transformation) iqr_forecasts = mapreduce(vcat, eachrow(forecasts)) do fc qs = quantile(fc, [0.25, 0.5, 0.75]) @@ -341,9 +406,10 @@ When we plot we see that the unrevised data consistently underestimates the eventual counts, which leads to poor forecasting. """ -plot_with_forecasts(naive_forecasts_by_reference_date, "Forecasts from Different Report Dates (naive)"; +plot_with_forecasts( + naive_forecasts_by_reference_date, "Forecasts from Different Report Dates (naive)"; n_ahead = 4, - selected_dates = selected_dates, + selected_dates = selected_dates ) md""" @@ -355,15 +421,9 @@ Therefore, another strategy could be to simply redact that week but otherwise leave out forecasting untouched. """ -leave_out_last_forecasts_by_reference_date = map(selected_dates) do report_date - date_data = @chain training_data begin - @filter(report_date == !!report_date) - @arrange(reference_date) - end - model, forecast_dates, transformation, inv_transformation = fit_on_data(report_date; - n_redact = 1, - date_data = date_data, - ) +leave_out_last_forecasts_by_reference_date = map(fitted_models_by_report_date) do fitted_model + @unpack model, forecast_dates, transformation, inv_transformation, data_to_revise = fitted_model + forecasts = forecast(model, forecast_dates, n_forecasts; inv_transformation) iqr_forecasts = mapreduce(vcat, eachrow(forecasts)) do fc @@ -378,9 +438,11 @@ md""" This looks improved but the forecasts have quite large prediction intervals (we have effectively bumped the forecast horizon by one week). """ -plot_with_forecasts(leave_out_last_forecasts_by_reference_date, "Forecasts from Different Report Dates (Leave out last week)"; +plot_with_forecasts( + leave_out_last_forecasts_by_reference_date, + "Forecasts from Different Report Dates (Leave out last week)"; n_ahead = 4, - selected_dates = selected_dates, + selected_dates = selected_dates ) md""" @@ -419,25 +481,24 @@ We compare two variants: """ n_nowcast_samples = 100 -nowcast_no_hmc_forecasts_by_reference_date = map(selected_dates) do report_date - ## Filter for correct report date - date_data = @chain training_data begin - @filter(report_date == !!report_date) - @arrange(reference_date) - end - ## Fit on all accepted data - model, forecast_dates, transformation, inv_transformation = fit_on_data(report_date; - n_redact = 1, - date_data = date_data, - ) - ## Simple nowcast on most recent data where we suspect significant revisions - nowcast_samples = [[date_data.confirm[end] * exp(0.1 + randn() * 0.027)] for _ in 1:n_nowcast_samples] +nowcast_no_hmc_forecasts_by_reference_date = map(fitted_models_by_report_date) do fitted_model + @unpack model, forecast_dates, transformation, inv_transformation, data_to_revise = fitted_model - nowcasts = create_nowcast_data(nowcast_samples, [date_data.reference_date[end]]; - transformation = transformation) + ## Simple nowcast on most recent data where we suspect significant revisions + nowcast_samples = [ + [data_to_revise.revise_values[end] * exp(0.1 + randn() * 0.027)] + for _ in 1:n_nowcast_samples + ] + + nowcasts = create_nowcast_data( + nowcast_samples, [data_to_revise.revise_dates[end]]; + transformation = transformation + ) - forecasts = forecast_with_nowcasts(model, nowcasts, forecast_dates, n_forecasts ÷ n_nowcast_samples; - inv_transformation, forecast_n_hmc = 0) + forecasts = forecast_with_nowcasts( + model, nowcasts, forecast_dates, n_forecasts ÷ n_nowcast_samples; + inv_transformation + ) iqr_forecasts = mapreduce(vcat, eachrow(forecasts)) do fc qs = quantile(fc, [0.25, 0.5, 0.75]) @@ -448,13 +509,13 @@ nowcast_no_hmc_forecasts_by_reference_date = map(selected_dates) do report_date end nothing #hide - -plot_with_forecasts(nowcast_no_hmc_forecasts_by_reference_date, "Forecasts from Different Report Dates (Nowcast, no interleaved HMC)"; +plot_with_forecasts( + nowcast_no_hmc_forecasts_by_reference_date, + "Forecasts from Different Report Dates (Nowcast, no interleaved HMC)"; n_ahead = 4, - selected_dates = selected_dates, + selected_dates = selected_dates ) - md""" #### Approach 4: Nowcast with interleaved HMC @@ -464,25 +525,24 @@ be refined between each forecast sample, producing a more diverse and better-calibrated forecast ensemble. """ -nowcast_hmc_forecasts_by_reference_date = map(selected_dates) do report_date - ## Filter for correct report date - date_data = @chain training_data begin - @filter(report_date == !!report_date) - @arrange(reference_date) - end - ## Fit on all accepted data - model, forecast_dates, transformation, inv_transformation = fit_on_data(report_date; - n_redact = 1, - date_data = date_data, - ) - ## Simple nowcast on most recent data where we suspect significant revisions - nowcast_samples = [[date_data.confirm[end] * exp(0.1 + randn() * 0.027)] for _ in 1:n_nowcast_samples] +nowcast_hmc_forecasts_by_reference_date = map(fitted_models_by_report_date) do fitted_model + @unpack model, forecast_dates, transformation, inv_transformation, data_to_revise = fitted_model - nowcasts = create_nowcast_data(nowcast_samples, [date_data.reference_date[end]]; - transformation = transformation) + ## Simple nowcast on most recent data where we suspect significant revisions + nowcast_samples = [ + [data_to_revise.revise_values[end] * exp(0.1 + randn() * 0.027)] + for _ in 1:n_nowcast_samples + ] + + nowcasts = create_nowcast_data( + nowcast_samples, [data_to_revise.revise_dates[end]]; + transformation = transformation + ) - forecasts = forecast_with_nowcasts(model, nowcasts, forecast_dates, n_forecasts ÷ n_nowcast_samples; - inv_transformation, forecast_n_hmc = 1) + forecasts = forecast_with_nowcasts( + model, nowcasts, forecast_dates, n_forecasts ÷ n_nowcast_samples; + inv_transformation, forecast_n_hmc = nothing, n_hmc = 1 + ) iqr_forecasts = mapreduce(vcat, eachrow(forecasts)) do fc qs = quantile(fc, [0.25, 0.5, 0.75]) @@ -495,9 +555,11 @@ nothing #hide # We see that this significantly improves the forecasting visually. -plot_with_forecasts(nowcast_hmc_forecasts_by_reference_date, "Forecasts from Different Report Dates (Nowcast, with interleaved HMC)"; +plot_with_forecasts( + nowcast_hmc_forecasts_by_reference_date, + "Forecasts from Different Report Dates (Nowcast, with interleaved HMC)"; n_ahead = 4, - selected_dates = selected_dates, + selected_dates = selected_dates ) md""" @@ -552,11 +614,14 @@ function crps(y::Real, X::Vector{<:Real}) return term1 - 0.5 * term2 end -function score_forecast(latestdata, forecast_dates, F; max_horizon = 4, data_transform = x -> x) +function score_forecast( + latestdata, forecast_dates, F; max_horizon = 4, data_transform = x -> x + ) @assert max_horizon <= length(forecast_dates) "Not enough data to score full horizon" score_dates = forecast_dates[1:max_horizon] scorable_data = @filter(latestdata, reference_date in !!score_dates) - S = mapreduce(+, scorable_data.confirm[1:max_horizon], eachrow(F.forecasts[1:max_horizon, :])) do y, X + S = mapreduce(+, scorable_data.confirm[1:max_horizon], eachrow(F.forecasts[1:max_horizon, :])) do y, + X crps(data_transform(y), data_transform.(X)) end return S / max_horizon @@ -577,12 +642,14 @@ nothing #hide most_recent_report_date = maximum(selected_dates) latestdata = @filter(nhsn_vintage_covid_data, report_date == !!most_recent_report_date) -scores = map([ - naive_forecasts_by_reference_date, - leave_out_last_forecasts_by_reference_date, - nowcast_no_hmc_forecasts_by_reference_date, - nowcast_hmc_forecasts_by_reference_date, -]) do F +scores = map( + [ + naive_forecasts_by_reference_date, + leave_out_last_forecasts_by_reference_date, + nowcast_no_hmc_forecasts_by_reference_date, + nowcast_hmc_forecasts_by_reference_date, + ] +) do F score_all_forecasts(latestdata, F[1:(end - 2)]; data_transform = identity) end nothing #hide @@ -598,7 +665,8 @@ score_ratios = [score / baseline_score for score in scores] method_names = ["Naive", "Leave Out\nLast", "Nowcast\n(no HMC)", "Nowcast\n(+ HMC)"] fig = Figure(size = (700, 400)) -ax = Axis(fig[1, 1], +ax = Axis( + fig[1, 1], xlabel = "Forecasting Method", ylabel = "Score Ratio (lower is better)", title = "Forecast Performance: Score Ratios vs Nowcast + HMC" @@ -606,16 +674,20 @@ ax = Axis(fig[1, 1], ## Create bar plot with different colors based on performance bar_colors = [ratio > 1 ? :red : ratio == 1 ? :green : :blue for ratio in score_ratios] -barplot!(ax, 1:4, score_ratios, +barplot!( + ax, 1:4, score_ratios, color = bar_colors, alpha = 0.7, strokewidth = 2, - strokecolor = :black) + strokecolor = :black +) ## Add value labels on top of bars for (i, ratio) in enumerate(score_ratios) - text!(ax, i, ratio + 0.02, text = string(round(ratio, digits = 2)), - align = (:center, :bottom), fontsize = 12) + text!( + ax, i, ratio + 0.02, text = string(round(ratio, digits = 2)), + align = (:center, :bottom), fontsize = 12 + ) end ## Add horizontal line at y=1 for reference (baseline) diff --git a/src/forecasting.jl b/src/forecasting.jl index 24da37b..c185fa4 100644 --- a/src/forecasting.jl +++ b/src/forecasting.jl @@ -58,16 +58,27 @@ function _forecast( ) # Convert forecast_dates to vector if it's a range dates_vector = collect(forecast_dates) - progress = Progress(forecast_draws; desc = "Forecasting with HMC: ", enabled = verbose) - _forecasts = mapreduce(hcat, 1:forecast_draws) do _ + # progress = Progress(forecast_draws; desc = "Forecasting with HMC: ", enabled = verbose) + # _forecasts = mapreduce(hcat, 1:forecast_draws) do _ + # # Refine the GP models with HMC steps to incorporate the new data into + # # hyperparameters but not structure + # AutoGP.mcmc_parameters!(model, forecast_n_hmc) + # dist = AutoGP.predict_mvn(model, dates_vector) + # sample = rand(dist) + # # next!(progress) + # sample + # end + + _forecasts = [] + for i in 1:forecast_draws # Refine the GP models with HMC steps to incorporate the new data into # hyperparameters but not structure AutoGP.mcmc_parameters!(model, forecast_n_hmc) dist = _with_single_blas(() -> AutoGP.predict_mvn(model, dates_vector)) sample = rand(dist) - next!(progress) - sample + push!(_forecasts, sample) end + _forecasts = hcat(_forecasts...) # Convert list of samples to matrix # Apply inverse transformation to the forecasts forecasts = inv_transformation.(_forecasts) From a095444469c18338c90dbbbc0a11182571a4e2b4 Mon Sep 17 00:00:00 2001 From: Samuel Brand <48288458+SamuelBrand1@users.noreply.github.com> Date: Wed, 18 Feb 2026 12:49:53 +0000 Subject: [PATCH 03/10] commit changes --- docs/vignettes/tutorial.jl | 51 +++++++++++++++++++++----------------- src/NowcastAutoGP.jl | 3 ++- 2 files changed, 30 insertions(+), 24 deletions(-) diff --git a/docs/vignettes/tutorial.jl b/docs/vignettes/tutorial.jl index f5d8d44..32da6b0 100644 --- a/docs/vignettes/tutorial.jl +++ b/docs/vignettes/tutorial.jl @@ -229,7 +229,7 @@ function fit_on_data( n_redact, max_ahead = 8, training_data = training_data, - n_particles = 24, + n_particles = 4, #24, smc_data_proportion = 0.1, n_mcmc = 50, n_hmc = 50 ) @@ -349,7 +349,7 @@ fitted_models_by_report_date = map(selected_dates) do report_date training_data = training_data ) return ( - model = model, forecast_dates = forecast_dates, + model_dict = Dict(model), forecast_dates = forecast_dates, transformation = transformation, inv_transformation = inv_transformation, data_to_revise = data_to_revise ) @@ -378,8 +378,8 @@ data stream. n_forecasts = 2000 naive_forecasts_by_reference_date = map(fitted_models_by_report_date) do fitted_model - @unpack model, forecast_dates, transformation, inv_transformation, data_to_revise = fitted_model - + @unpack model_dict, forecast_dates, transformation, inv_transformation, data_to_revise = fitted_model + model = GPModel(model_dict) ## Create a "naive" nowcast by taking the latest reported data as the best estimate of the eventual data ## NB: we wrap the single nowcast in a vector to be compatible with the nowcast input "vector of vectors" format naive_nowcasts = create_nowcast_data( @@ -422,7 +422,8 @@ otherwise leave out forecasting untouched. """ leave_out_last_forecasts_by_reference_date = map(fitted_models_by_report_date) do fitted_model - @unpack model, forecast_dates, transformation, inv_transformation, data_to_revise = fitted_model + @unpack model_dict, forecast_dates, transformation, inv_transformation, data_to_revise = fitted_model + model = GPModel(model_dict) forecasts = forecast(model, forecast_dates, n_forecasts; inv_transformation) @@ -459,6 +460,19 @@ In the following examples, for each vintage we first fit to all the data except the most recent week (`n_redact = 1`). Second, we sample a multiplier for the most recent week from the LogNormal distribution 100 times. +""" +n_nowcast_samples = 100 +## Simple nowcast on most recent data where we suspect significant revisions + +all_nowcast_samples = map(fitted_models_by_report_date) do fitted_model + @unpack data_to_revise = fitted_model + + nowcast_samples = [ + [data_to_revise.revise_values[end] * exp(0.1 + randn() * 0.027)] + for _ in 1:n_nowcast_samples + ] +end +md""" Third, we use `forecast_with_nowcasts` to batch 20 forecasts per nowcast signal on top of the inference done in step one. @@ -480,15 +494,11 @@ We compare two variants: #### Approach 3: Nowcast without interleaved HMC """ -n_nowcast_samples = 100 -nowcast_no_hmc_forecasts_by_reference_date = map(fitted_models_by_report_date) do fitted_model - @unpack model, forecast_dates, transformation, inv_transformation, data_to_revise = fitted_model +nowcast_no_hmc_forecasts_by_reference_date = map(fitted_models_by_report_date, all_nowcast_samples) do fitted_model, nowcast_samples + @unpack model_dict, forecast_dates, transformation, inv_transformation, data_to_revise = fitted_model + model = GPModel(model_dict) + - ## Simple nowcast on most recent data where we suspect significant revisions - nowcast_samples = [ - [data_to_revise.revise_values[end] * exp(0.1 + randn() * 0.027)] - for _ in 1:n_nowcast_samples - ] nowcasts = create_nowcast_data( nowcast_samples, [data_to_revise.revise_dates[end]]; @@ -525,14 +535,9 @@ be refined between each forecast sample, producing a more diverse and better-calibrated forecast ensemble. """ -nowcast_hmc_forecasts_by_reference_date = map(fitted_models_by_report_date) do fitted_model - @unpack model, forecast_dates, transformation, inv_transformation, data_to_revise = fitted_model - - ## Simple nowcast on most recent data where we suspect significant revisions - nowcast_samples = [ - [data_to_revise.revise_values[end] * exp(0.1 + randn() * 0.027)] - for _ in 1:n_nowcast_samples - ] +nowcast_hmc_forecasts_by_reference_date = map(fitted_models_by_report_date, all_nowcast_samples) do fitted_model, nowcast_samples + @unpack model_dict, forecast_dates, transformation, inv_transformation, data_to_revise = fitted_model + model = GPModel(model_dict) nowcasts = create_nowcast_data( nowcast_samples, [data_to_revise.revise_dates[end]]; @@ -541,7 +546,7 @@ nowcast_hmc_forecasts_by_reference_date = map(fitted_models_by_report_date) do f forecasts = forecast_with_nowcasts( model, nowcasts, forecast_dates, n_forecasts ÷ n_nowcast_samples; - inv_transformation, forecast_n_hmc = nothing, n_hmc = 1 + inv_transformation, forecast_n_hmc = 1, n_hmc = 0, ) iqr_forecasts = mapreduce(vcat, eachrow(forecasts)) do fc @@ -650,7 +655,7 @@ scores = map( nowcast_hmc_forecasts_by_reference_date, ] ) do F - score_all_forecasts(latestdata, F[1:(end - 2)]; data_transform = identity) + score_all_forecasts(latestdata, F[1:(end - 2)]; data_transform = log) end nothing #hide diff --git a/src/NowcastAutoGP.jl b/src/NowcastAutoGP.jl index 43c23ae..3d758ad 100644 --- a/src/NowcastAutoGP.jl +++ b/src/NowcastAutoGP.jl @@ -5,7 +5,8 @@ using LinearAlgebra: BLAS using LogExpFunctions: logit, logistic using ProgressMeter: @showprogress, Progress, next! -export TData +const GPModel = AutoGP.GPModel # re-exporting for convenience +export TData, GPModel export create_transformed_data, get_transformations, make_and_fit_model, forecast, forecast_with_nowcasts, create_nowcast_data From 8843a4f03667e02fa88a53fec4140cf57f78cca0 Mon Sep 17 00:00:00 2001 From: Samuel Brand <48288458+SamuelBrand1@users.noreply.github.com> Date: Wed, 18 Feb 2026 13:20:36 +0000 Subject: [PATCH 04/10] Add progress, logging and input checks to forecasting --- src/forecasting.jl | 33 +++++++++++++++------------------ 1 file changed, 15 insertions(+), 18 deletions(-) diff --git a/src/forecasting.jl b/src/forecasting.jl index c185fa4..b4e18b9 100644 --- a/src/forecasting.jl +++ b/src/forecasting.jl @@ -32,6 +32,11 @@ function forecast( inv_transformation = y -> y, forecast_n_hmc::Union{Int, Nothing} = nothing, verbose::Bool = false ) + if verbose + mode = forecast_n_hmc === nothing ? "current model state" : + "HMC ($forecast_n_hmc steps/draw)" + @info "Forecasting $(length(forecast_dates)) dates × $forecast_draws draws via $mode." + end return _forecast( model, forecast_dates, forecast_draws, forecast_n_hmc; inv_transformation = inv_transformation, verbose = verbose @@ -42,7 +47,6 @@ function _forecast( model, forecast_dates, forecast_draws::Int, ::Nothing; inv_transformation = y -> y, verbose::Bool = false ) - verbose && @info "Using multivariate normal forecast from current model state." # Convert forecast_dates to vector if it's a range dates_vector = collect(forecast_dates) dist = _with_single_blas(() -> AutoGP.predict_mvn(model, dates_vector)) @@ -58,27 +62,16 @@ function _forecast( ) # Convert forecast_dates to vector if it's a range dates_vector = collect(forecast_dates) - # progress = Progress(forecast_draws; desc = "Forecasting with HMC: ", enabled = verbose) - # _forecasts = mapreduce(hcat, 1:forecast_draws) do _ - # # Refine the GP models with HMC steps to incorporate the new data into - # # hyperparameters but not structure - # AutoGP.mcmc_parameters!(model, forecast_n_hmc) - # dist = AutoGP.predict_mvn(model, dates_vector) - # sample = rand(dist) - # # next!(progress) - # sample - # end - - _forecasts = [] - for i in 1:forecast_draws + progress = Progress(forecast_draws; desc = "Forecasting with HMC: ", enabled = verbose) + _forecasts = mapreduce(hcat, 1:forecast_draws) do _ # Refine the GP models with HMC steps to incorporate the new data into # hyperparameters but not structure AutoGP.mcmc_parameters!(model, forecast_n_hmc) dist = _with_single_blas(() -> AutoGP.predict_mvn(model, dates_vector)) sample = rand(dist) - push!(_forecasts, sample) + next!(progress) + sample end - _forecasts = hcat(_forecasts...) # Convert list of samples to matrix # Apply inverse transformation to the forecasts forecasts = inv_transformation.(_forecasts) @@ -133,8 +126,11 @@ function forecast_with_nowcasts( ) @assert !isempty(nowcasts) "nowcasts vector must not be empty" @assert !(n_mcmc > 0 && n_hmc == 0) "If n_mcmc > 0, n_hmc must also be > 0 for MCMC refinement" + @assert 0.0 <= ess_threshold <= 1.0 "ess_threshold must be between 0 and 1" + @assert forecast_n_hmc === nothing || forecast_n_hmc > 0 "forecast_n_hmc must be > 0 if specified" base_model_dict = Dict(base_model) + progress = Progress(length(nowcasts); desc = "Nowcast scenarios: ", enabled = verbose) # Process each nowcast scenario forecasts_over_nowcasts = mapreduce(hcat, nowcasts) do nowcast model_for_batch = AutoGP.GPModel(base_model_dict) # Create a copy of the base model for this scenario @@ -156,13 +152,14 @@ function forecast_with_nowcasts( AutoGP.mcmc_parameters!(model_for_batch, n_hmc) end - # Generate forecasts for this nowcast scenario + # Generate forecasts for this nowcast scenario (verbose=false to avoid per-scenario noise) scenario_forecasts = forecast( model_for_batch, forecast_dates, forecast_draws_per_nowcast; inv_transformation = inv_transformation, forecast_n_hmc = forecast_n_hmc, - verbose = verbose + verbose = false ) + next!(progress) return scenario_forecasts end From 2d0936c86e4b2ea11a7981e10b3327d58dcece1c Mon Sep 17 00:00:00 2001 From: Samuel Brand <48288458+SamuelBrand1@users.noreply.github.com> Date: Thu, 19 Feb 2026 12:18:04 +0000 Subject: [PATCH 05/10] Refactor forecasting, docs, and Julia compat --- Project.toml | 2 +- docs/Project.toml | 2 +- docs/vignettes/tutorial.jl | 128 ++++++++++++++++++++++++++++++------- src/forecasting.jl | 97 ++++++++++++++-------------- 4 files changed, 154 insertions(+), 75 deletions(-) diff --git a/Project.toml b/Project.toml index 1758542..dc56da1 100644 --- a/Project.toml +++ b/Project.toml @@ -18,4 +18,4 @@ Dates = "1.10" LinearAlgebra = "1.10" LogExpFunctions = "0.3.29" ProgressMeter = "1.10" -julia = "1.10" +julia = "1.11" diff --git a/docs/Project.toml b/docs/Project.toml index ec44a3e..2f4adf6 100644 --- a/docs/Project.toml +++ b/docs/Project.toml @@ -13,4 +13,4 @@ Random = "9a3f8284-a2c9-5f02-9a11-845980a1fd5c" TidierData = "fe2206b3-d496-4ee9-a338-6a095c4ece80" [sources] -NowcastAutoGP = {path = ".."} +NowcastAutoGP = {path = "/Users/samandfi/Documents/GitHub/CFA/NowcastAutoGP/docs/vignettes/../.."} diff --git a/docs/vignettes/tutorial.jl b/docs/vignettes/tutorial.jl index 32da6b0..7d8c2bc 100644 --- a/docs/vignettes/tutorial.jl +++ b/docs/vignettes/tutorial.jl @@ -1,4 +1,9 @@ using Markdown +using Pkg +path_to_doc_project = joinpath(@__DIR__, "..") +Pkg.activate(path_to_doc_project) +path_to_package = joinpath(@__DIR__, "..", "..") +Pkg.develop(path = path_to_package) md""" # Getting Started with `NowcastAutoGP` @@ -21,6 +26,24 @@ of severe cases arriving in a given week (we call this the reference date), at any given reporting week (we call this the report date) recent reference dates will not have complete data. +## What is `AutoGP`? + +[`AutoGP.jl`](https://github.com/probsys/AutoGP.jl) is a Julia package for +automatic Gaussian process model discovery. Rather than fitting a single GP +with a fixed kernel, AutoGP maintains an ensemble of GP models (called +_particles_), each with a different kernel structure (e.g. periodic, linear, +radial basis, or compositions thereof). `AutoGP` combines three inference techniques: + +- Sequential Monte Carlo (SMC) steps as new data is ingested, which resample the particle ensemble of GP models to focus on promising kernel structures. + New data can be provided to SMC either in batches (`AutoGP` has built-in support for scheduling data ingestion in batches) or incrementally (e.g. for nowcasting). +- Markov chain Monte Carlo (MCMC) steps that propose new kernel structures for each particle, allowing the ensemble to explore a rich space of possible kernels. +- Hamiltonian Monte Carlo (HMC) steps that tune the continuous hyperparameters of each particle's kernel, improving fit and increasing diversity. + +The result is a weighted mixture of GPs that captures uncertainty over both kernel structure +and hyperparameters, aiming to avoid manual kernel engineering. + +The main limitation of `AutoGP` is that it is specialised for pure time series modelling (e.g. no covariates). + ## What is Nowcasting? The time series Gaussian process structure discovery and ensemble @@ -229,9 +252,9 @@ function fit_on_data( n_redact, max_ahead = 8, training_data = training_data, - n_particles = 4, #24, - smc_data_proportion = 0.1, - n_mcmc = 50, n_hmc = 50 + n_particles = 24, # number of SMC particles, i.e. GP models, to maintain in the ensemble + smc_data_proportion = 0.1, # proportion of data to ingest per SMC step, by default shuffled batches + n_mcmc = 50, n_hmc = 50 # number of MCMC and HMC steps to run after each SMC step for particle refinement/refresh ) ## Filter for correct report date @@ -343,15 +366,17 @@ In the next section we will use these fits to make forecasts with different nowc fitted_models_by_report_date = map(selected_dates) do report_date model, forecast_dates, transformation, - inv_transformation, data_to_revise = fit_on_data( + inv_transformation, + data_to_revise = fit_on_data( report_date; n_redact = 1, - training_data = training_data + training_data = training_data, + n_particles = 4 ) return ( model_dict = Dict(model), forecast_dates = forecast_dates, transformation = transformation, inv_transformation = inv_transformation, - data_to_revise = data_to_revise + data_to_revise = data_to_revise, ) end nothing #hide @@ -378,7 +403,8 @@ data stream. n_forecasts = 2000 naive_forecasts_by_reference_date = map(fitted_models_by_report_date) do fitted_model - @unpack model_dict, forecast_dates, transformation, inv_transformation, data_to_revise = fitted_model + @unpack model_dict, forecast_dates, transformation, inv_transformation, + data_to_revise = fitted_model model = GPModel(model_dict) ## Create a "naive" nowcast by taking the latest reported data as the best estimate of the eventual data ## NB: we wrap the single nowcast in a vector to be compatible with the nowcast input "vector of vectors" format @@ -389,7 +415,7 @@ naive_forecasts_by_reference_date = map(fitted_models_by_report_date) do fitted_ forecasts = forecast_with_nowcasts( model, naive_nowcasts, forecast_dates, n_forecasts; - inv_transformation, ess_threshold = 2.0 + inv_transformation = inv_transformation, ess_threshold = 1.0 ) iqr_forecasts = mapreduce(vcat, eachrow(forecasts)) do fc @@ -422,7 +448,8 @@ otherwise leave out forecasting untouched. """ leave_out_last_forecasts_by_reference_date = map(fitted_models_by_report_date) do fitted_model - @unpack model_dict, forecast_dates, transformation, inv_transformation, data_to_revise = fitted_model + @unpack model_dict, forecast_dates, transformation, inv_transformation, + data_to_revise = fitted_model model = GPModel(model_dict) forecasts = forecast(model, forecast_dates, n_forecasts; inv_transformation) @@ -447,7 +474,7 @@ plot_with_forecasts( ) md""" -### Approaches 3 and 4: Forecasting with a simple nowcast +### Approaches 3-5: Forecasting with a simple nowcast Now lets consider a really simple nowcasting model. Over recent vintages we notice that the most recent week gets revised @@ -487,19 +514,25 @@ We compare two variants: - **Approach 3** uses the original forecasting method, drawing all forecast samples from the GP predictive distribution without refining hyperparameters between draws (`forecast_n_hmc=0`). -- **Approach 4** interleaves HMC parameter refinement between forecast - draws (`forecast_n_hmc=1`), which increases ensemble diversity and - forecast quality. +- **Approach 4** updates the GP hyperparameters with an HMC refinement step between +each _nowcast draw_ (`n_hmc=1`), which allows the GP _particles_ to adapt to the new data and increases the diversity of the forecast ensemble. +- **Approach 5** interleaves HMC parameter refinement between each _forecast + draw_ (`forecast_n_hmc=1`), which increases the diversity of the forecast ensemble by + more than Approach 4, but is more computationally expensive. + +Note that approach 5 is a mitigation strategy for having a particle ensemble that is too small to capture the posterior distribution over GP +hyperparameters, which can lead to underdispersed forecasts. If you have a large enough particle ensemble, approach 4 will be sufficient and equivalent to approach 5. #### Approach 3: Nowcast without interleaved HMC """ -nowcast_no_hmc_forecasts_by_reference_date = map(fitted_models_by_report_date, all_nowcast_samples) do fitted_model, nowcast_samples - @unpack model_dict, forecast_dates, transformation, inv_transformation, data_to_revise = fitted_model +nowcast_no_hmc_forecasts_by_reference_date = map( + fitted_models_by_report_date, all_nowcast_samples +) do fitted_model, nowcast_samples + @unpack model_dict, forecast_dates, transformation, inv_transformation, + data_to_revise = fitted_model model = GPModel(model_dict) - - nowcasts = create_nowcast_data( nowcast_samples, [data_to_revise.revise_dates[end]]; transformation = transformation @@ -527,16 +560,63 @@ plot_with_forecasts( ) md""" -#### Approach 4: Nowcast with interleaved HMC +#### Approach 4: Nowcast with particle refresh HMC -Using the same nowcasting setup, we now enable interleaved HMC parameter -refinement between forecast draws. This allows the GP hyperparameters to -be refined between each forecast sample, producing a more diverse and +Using the same nowcasting setup, we now enable a HMC step for each particle to refresh +the GP hyperparameters after incorporating each nowcast sample. Forecasts are then drawn from the refreshed particle ensemble without further HMC steps between forecast draws. +This allows the GP hyperparameters to be refined for each nowcast sample, producing a more diverse and better-calibrated forecast ensemble. """ -nowcast_hmc_forecasts_by_reference_date = map(fitted_models_by_report_date, all_nowcast_samples) do fitted_model, nowcast_samples - @unpack model_dict, forecast_dates, transformation, inv_transformation, data_to_revise = fitted_model +nowcast_hmc_forecasts_by_reference_date = map( + fitted_models_by_report_date, all_nowcast_samples +) do fitted_model, nowcast_samples + @unpack model_dict, forecast_dates, transformation, inv_transformation, + data_to_revise = fitted_model + model = GPModel(model_dict) + + nowcasts = create_nowcast_data( + nowcast_samples, [data_to_revise.revise_dates[end]]; + transformation = transformation + ) + + forecasts = forecast_with_nowcasts( + model, nowcasts, forecast_dates, n_forecasts ÷ n_nowcast_samples; + inv_transformation, forecast_n_hmc = 1, n_hmc = 0, verbose = true + ) + + iqr_forecasts = mapreduce(vcat, eachrow(forecasts)) do fc + qs = quantile(fc, [0.25, 0.5, 0.75]) + qs' + end + + return (dates = forecast_dates, forecasts = forecasts, iqrs = iqr_forecasts) +end +nothing #hide + +# We see that this significantly improves the forecasting visually. + +plot_with_forecasts( + nowcast_hmc_forecasts_by_reference_date, + "Forecasts from Different Report Dates (Nowcast, with interleaved HMC)"; + n_ahead = 4, + selected_dates = selected_dates +) + +md""" +#### Approach 5: Nowcast with interleaved HMC + +We now enable interleaved HMC parameter refinement between _forecast draws_. This allows the GP hyperparameters to +be refined between each forecast sample, which better reflects the posterior distribution over hyperparameters than approach 4, which only refines hyperparameters between nowcast samples. +This can lead to a more diverse and better-calibrated forecast ensemble, but is more computationally expensive. +Note that if you have a large enough particle ensemble, approach 4 will be sufficient and equivalent to approach 5, as the particle ensemble will already capture the posterior distribution over hyperparameters well enough that further HMC steps between forecast draws won't add much diversity. +""" + +nowcast_hmc_forecasts_by_reference_date = map( + fitted_models_by_report_date, all_nowcast_samples +) do fitted_model, nowcast_samples + @unpack model_dict, forecast_dates, transformation, inv_transformation, + data_to_revise = fitted_model model = GPModel(model_dict) nowcasts = create_nowcast_data( @@ -546,7 +626,7 @@ nowcast_hmc_forecasts_by_reference_date = map(fitted_models_by_report_date, all_ forecasts = forecast_with_nowcasts( model, nowcasts, forecast_dates, n_forecasts ÷ n_nowcast_samples; - inv_transformation, forecast_n_hmc = 1, n_hmc = 0, + inv_transformation, forecast_n_hmc = 1, n_hmc = 0, verbose = true ) iqr_forecasts = mapreduce(vcat, eachrow(forecasts)) do fc diff --git a/src/forecasting.jl b/src/forecasting.jl index b4e18b9..ecac112 100644 --- a/src/forecasting.jl +++ b/src/forecasting.jl @@ -29,27 +29,21 @@ Generate forecast samples from a fitted `AutoGP` model. """ function forecast( model::AutoGP.GPModel, forecast_dates, forecast_draws::Int; - inv_transformation = y -> y, forecast_n_hmc::Union{Int, Nothing} = nothing, - verbose::Bool = false + inv_transformation = y -> y, forecast_n_hmc::Union{Int, Nothing} = nothing ) - if verbose - mode = forecast_n_hmc === nothing ? "current model state" : - "HMC ($forecast_n_hmc steps/draw)" - @info "Forecasting $(length(forecast_dates)) dates × $forecast_draws draws via $mode." - end return _forecast( model, forecast_dates, forecast_draws, forecast_n_hmc; - inv_transformation = inv_transformation, verbose = verbose + inv_transformation = inv_transformation ) end function _forecast( model, forecast_dates, forecast_draws::Int, ::Nothing; - inv_transformation = y -> y, verbose::Bool = false + inv_transformation = y -> y ) # Convert forecast_dates to vector if it's a range dates_vector = collect(forecast_dates) - dist = _with_single_blas(() -> AutoGP.predict_mvn(model, dates_vector)) + dist = AutoGP.predict_mvn(model, dates_vector) _forecasts = rand(dist, forecast_draws) # Apply inverse transformation to the forecasts forecasts = inv_transformation.(_forecasts) @@ -58,19 +52,20 @@ end function _forecast( model, forecast_dates, forecast_draws::Int, forecast_n_hmc::Int; - inv_transformation = y -> y, verbose::Bool = false + inv_transformation = y -> y ) # Convert forecast_dates to vector if it's a range dates_vector = collect(forecast_dates) - progress = Progress(forecast_draws; desc = "Forecasting with HMC: ", enabled = verbose) - _forecasts = mapreduce(hcat, 1:forecast_draws) do _ - # Refine the GP models with HMC steps to incorporate the new data into - # hyperparameters but not structure - AutoGP.mcmc_parameters!(model, forecast_n_hmc) - dist = _with_single_blas(() -> AutoGP.predict_mvn(model, dates_vector)) - sample = rand(dist) - next!(progress) - sample + n_dates = length(dates_vector) + _forecasts = _with_single_blas() do + out = Matrix{Float64}(undef, n_dates, forecast_draws) + for i in 1:forecast_draws + # Refine the GP models with HMC steps for each forecast draw + AutoGP.mcmc_parameters!(model, forecast_n_hmc) + dist = AutoGP.predict_mvn(model, dates_vector) + out[:, i] = rand(dist) + end + return out end # Apply inverse transformation to the forecasts @@ -131,37 +126,41 @@ function forecast_with_nowcasts( base_model_dict = Dict(base_model) progress = Progress(length(nowcasts); desc = "Nowcast scenarios: ", enabled = verbose) - # Process each nowcast scenario - forecasts_over_nowcasts = mapreduce(hcat, nowcasts) do nowcast - model_for_batch = AutoGP.GPModel(base_model_dict) # Create a copy of the base model for this scenario - # Add the nowcast data to the model - AutoGP.add_data!(model_for_batch, nowcast.ds, nowcast.y) - - # Resample particles if effective sample size is below threshold - - AutoGP.maybe_resample!( - model_for_batch, ess_threshold * - AutoGP.num_particles(model_for_batch) - ) - - # Optional: Refine the GP models with MCMC steps to incorporate the new data - # into the kernel structure - if n_mcmc > 0 && n_hmc > 0 - AutoGP.mcmc_structure!(model_for_batch, n_mcmc, n_hmc) - elseif n_mcmc == 0 && n_hmc > 0 # Optional: Refine the GP models with HMC steps to incorporate the new data into hyperparameters but not structure - AutoGP.mcmc_parameters!(model_for_batch, n_hmc) + # Process each nowcast scenario in parallel (requires Julia 1.11+ for safe @threads nesting) + tasks = map(nowcasts) do nowcast + Threads.@spawn begin + model_for_batch = AutoGP.GPModel(deepcopy(base_model_dict)) + # Add the nowcast data to the model + AutoGP.add_data!(model_for_batch, nowcast.ds, nowcast.y) + + # Resample particles if effective sample size is below threshold + AutoGP.maybe_resample!( + model_for_batch, ess_threshold * + AutoGP.num_particles(model_for_batch) + ) + + # Optional: Refine the GP models with MCMC steps to incorporate the new data + # into the kernel structure + if n_mcmc > 0 && n_hmc > 0 + AutoGP.mcmc_structure!(model_for_batch, n_mcmc, n_hmc) + elseif n_mcmc == 0 && n_hmc > 0 + AutoGP.mcmc_parameters!(model_for_batch, n_hmc) + end + + # Generate forecasts for this nowcast scenario (verbose=false to avoid per-scenario noise) + scenario_forecasts = forecast( + model_for_batch, forecast_dates, forecast_draws_per_nowcast; + inv_transformation = inv_transformation, forecast_n_hmc = forecast_n_hmc + ) + + scenario_forecasts end + end - # Generate forecasts for this nowcast scenario (verbose=false to avoid per-scenario noise) - scenario_forecasts = forecast( - model_for_batch, forecast_dates, forecast_draws_per_nowcast; - inv_transformation = inv_transformation, forecast_n_hmc = forecast_n_hmc, - verbose = false - ) - + results = map(tasks) do t + r = fetch(t) next!(progress) - return scenario_forecasts + r end - - return forecasts_over_nowcasts + return hcat(results...) end From a9dc45c13c86ae1152cb70c4da6a52b6cf259630 Mon Sep 17 00:00:00 2001 From: Samuel Brand <48288458+SamuelBrand1@users.noreply.github.com> Date: Thu, 19 Feb 2026 16:16:41 +0000 Subject: [PATCH 06/10] Add getting-started vignette and docs updates Add a generated Getting Started vignette and associated images, replace the old tutorial files, and update documentation build scripts and links. Changes include: adding docs/src/vignettes/getting-started.md and several PNG figures; removing docs/src/vignettes/tutorial.md and renaming docs/vignettes/tutorial.jl -> docs/vignettes/getting-started.jl; update README image paths and docs/src/index.md to point to the new vignette; adjust .gitignore to include docs/src/vignettes/*.png; simplify docs/Project.toml package path; and revise docs/make.jl and docs/make_vignettes.jl to generate CommonMark vignette markdown via Literate (execute = true) and include the vignette in the site pages. Also include a minor change to src/forecasting.jl. --- .gitignore | 2 +- README.md | 6 +- docs/Project.toml | 2 +- docs/make.jl | 14 +- docs/make_vignettes.jl | 17 +- docs/src/index.md | 2 +- docs/src/vignettes/getting-started-19.png | Bin 0 -> 282005 bytes docs/src/vignettes/getting-started-23.png | Bin 0 -> 283638 bytes docs/src/vignettes/getting-started-27.png | Bin 0 -> 281589 bytes docs/src/vignettes/getting-started-29.png | Bin 0 -> 290274 bytes docs/src/vignettes/getting-started-31.png | Bin 0 -> 290228 bytes docs/src/vignettes/getting-started-37.png | Bin 0 -> 88711 bytes docs/src/vignettes/getting-started-7.png | Bin 0 -> 221353 bytes docs/src/vignettes/getting-started.md | 877 ++++++++++++++++++ docs/src/vignettes/tutorial.md | 666 ------------- .../{tutorial.jl => getting-started.jl} | 209 +++-- docs/vignettes/tutorial.qmd | 579 ------------ src/forecasting.jl | 2 +- 18 files changed, 1006 insertions(+), 1370 deletions(-) create mode 100644 docs/src/vignettes/getting-started-19.png create mode 100644 docs/src/vignettes/getting-started-23.png create mode 100644 docs/src/vignettes/getting-started-27.png create mode 100644 docs/src/vignettes/getting-started-29.png create mode 100644 docs/src/vignettes/getting-started-31.png create mode 100644 docs/src/vignettes/getting-started-37.png create mode 100644 docs/src/vignettes/getting-started-7.png create mode 100644 docs/src/vignettes/getting-started.md delete mode 100644 docs/src/vignettes/tutorial.md rename docs/vignettes/{tutorial.jl => getting-started.jl} (76%) delete mode 100644 docs/vignettes/tutorial.qmd diff --git a/.gitignore b/.gitignore index 7a0015b..f110a3f 100644 --- a/.gitignore +++ b/.gitignore @@ -386,4 +386,4 @@ doc_development.md test_development.md # Tutorial images -!docs/src/assets/tutorial/*.png +!docs/src/vignettes/*.png diff --git a/README.md b/README.md index 573869c..73c4c4f 100644 --- a/README.md +++ b/README.md @@ -30,13 +30,13 @@ Pkg.add(url="https://github.com/CDCgov/NowcastAutoGP.jl") `NowcastAutoGP.jl` allows the user to incorporate nowcasting with ensemble Gaussian process (GP) forecasting provided by `AutoGP.jl`. In the example below, we show forecasting with the "naive" belief that the most recent reported data is accurate and final, compared to forecasting that incorporates simple nowcasting that accounts for a reporting multiplicative factor based on historical reporting patterns. -![Naive forecasting showing underestimation](docs/src/assets/tutorial/cell-10-output-1.png) +![Naive forecasting showing underestimation](docs/src/vignettes/getting-started-19.png) *Naive forecasting consistently underestimates due to reporting delays* -![Forecasts with simple nowcasting](docs/src/assets/tutorial/cell-14-output-1.png) +![Forecasts with simple nowcasting](docs/src/vignettes/getting-started-31.png) *Forecasts incorporating simple nowcasting show improved accuracy* -![Performance comparison](docs/src/assets/tutorial/cell-17-output-1.png) +![Performance comparison](docs/src/vignettes/getting-started-37.png) *Score ratios demonstrate clear performance improvements with nowcasting* ## Documentation diff --git a/docs/Project.toml b/docs/Project.toml index 2f4adf6..ec44a3e 100644 --- a/docs/Project.toml +++ b/docs/Project.toml @@ -13,4 +13,4 @@ Random = "9a3f8284-a2c9-5f02-9a11-845980a1fd5c" TidierData = "fe2206b3-d496-4ee9-a338-6a095c4ece80" [sources] -NowcastAutoGP = {path = "/Users/samandfi/Documents/GitHub/CFA/NowcastAutoGP/docs/vignettes/../.."} +NowcastAutoGP = {path = ".."} diff --git a/docs/make.jl b/docs/make.jl index 13f862e..a4e9cce 100644 --- a/docs/make.jl +++ b/docs/make.jl @@ -1,14 +1,12 @@ using Documenter -using Literate using NowcastAutoGP -pages = ["Home" => "index.md"] -# Generate Documenter-flavored markdown from Literate.jl scripts -# Add them to the `pages` list to include them in the documentation navigation -include("make_vignettes.jl") - -# Generate API reference documentation from docstrings in the source code -push!(pages, "API Reference" => "api.md") +# Doc pages +pages = [ + "Home" => "index.md", + "Getting Started" => "vignettes/getting-started.md", + "API Reference" => "api.md", +] makedocs( sitename = "NowcastAutoGP.jl", diff --git a/docs/make_vignettes.jl b/docs/make_vignettes.jl index 52789b7..2add538 100644 --- a/docs/make_vignettes.jl +++ b/docs/make_vignettes.jl @@ -1,17 +1,16 @@ -vignettes_to_make = [ - "Getting started" => "tutorial.jl", -] +using Literate +vignettes_to_make = ["getting-started.jl"] -# Generate Documenter-flavored markdown from Literate.jl scripts -for vignette_pair in vignettes_to_make - vignettefile = vignette_pair.second +# Generate markdown with executed output from Literate.jl scripts. +# Uses CommonMarkFlavor so Documenter.jl won't re-evaluate code blocks. +# Run this locally when vignettes change; commit the generated .md and images. +for vignettefile in vignettes_to_make Literate.markdown( joinpath(@__DIR__, "vignettes", vignettefile), joinpath(@__DIR__, "src", "vignettes"); - eval = false, - flavor = Literate.DocumenterFlavor(), + execute = true, + flavor = Literate.CommonMarkFlavor(), mdstrings = true, credit = true ) - push!(pages, vignette_pair.first => "vignettes/$(replace(vignettefile, ".jl" => ".md"))") end diff --git a/docs/src/index.md b/docs/src/index.md index a75c601..7a6aa8c 100644 --- a/docs/src/index.md +++ b/docs/src/index.md @@ -27,7 +27,7 @@ Pkg.add(url="https://github.com/CDCgov/NowcastAutoGP.jl") ## Getting Started -- **[Getting started example](vignettes/tutorial.md)**: A getting started guide demonstrating basic usage for combining forecasting and nowcasting on NHSN covid-19 hospitalization data. +- **[Getting started example](vignettes/getting-started.md)**: A getting started guide demonstrating basic usage for combining forecasting and nowcasting on NHSN covid-19 hospitalization data. ## API Reference and Resources diff --git a/docs/src/vignettes/getting-started-19.png b/docs/src/vignettes/getting-started-19.png new file mode 100644 index 0000000000000000000000000000000000000000..1e37630776c08d7e6bf6ae49712311bc9a2cd728 GIT binary patch literal 282005 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Rather than fitting a single GP +with a fixed kernel, AutoGP maintains an ensemble of GP models (called +_particles_), each with a different kernel structure (e.g. periodic, linear, +radial basis, or compositions thereof). `AutoGP` combines three inference techniques: + +- Sequential Monte Carlo (SMC) steps as new data is ingested, which resample the particle ensemble of GP models to focus on promising kernel structures. + New data can be provided to SMC either in batches (`AutoGP` has built-in support for scheduling data ingestion in batches) or incrementally (e.g. for nowcasting). +- Markov chain Monte Carlo (MCMC) steps that propose new kernel structures for each particle, allowing the ensemble to explore a rich space of possible kernels. +- Hamiltonian Monte Carlo (HMC) steps that tune the continuous hyperparameters of each particle's kernel, improving fit and increasing diversity. + +The result is a weighted mixture of GPs that captures uncertainty over both kernel structure +and hyperparameters, aiming to avoid manual kernel engineering. + +The main limitation of `AutoGP` is that it is specialised for pure time series modelling (e.g. no covariates). + +## What is Nowcasting and how does `NowcastAutoGP` help? + +The time series Gaussian process structure discovery and ensemble +forecast package [`AutoGP.jl`](https://github.com/probsys/AutoGP.jl) is +highly impressive, but doesn't include features for ingesting the kind +of data we expect from a signal that needs significant nowcasting to +become reliable. + +`NowcastAutoGP` is an extension of `AutoGP` that uses `AutoGP`'s +incremental inference features to include nowcasting results into the +forecasting problem. + +### The forecasting problem with data revisions + +When forecasting a time series with revisions, we consider two time indices: + +1. The reference date $t$ which is the date of the event we are trying to forecast (e.g. hospital admission). +2. The report date $T$ which is the "current date" of a group of data indexed by reference dates; this represents how the data looked at different points in time as more data came in and revisions were made. + +On any given report date $T$, we have a time series of data for reference dates and past report dates up to $T$: + +```math +(X_{t,T'})_{t=1, \ldots, T'; T' = 1, 2, \ldots, T}. +``` + +The core forecasting challenge is to forecast the _eventual_ time series, that is the time series of _eventual_ values for each reference date: + +```math +X_t = X_{t,\infty} \qquad t = 1, 2, \ldots +``` + +where "$T = \infty$" represents the eventual reported value of the time series at some point in the future when the data is fully revised and stable. + +### Nowcasting to address data revisions + +On any report date $T$ we can split the latest available data on a backwards horizon $D$ where we consider older data "confirmed" + +```math +\text{Confirmed by } T :~ (X_{t,T})_{t=1, \ldots, T-D} = (X_t)_{t=1, \ldots, T-D}. +``` + +We don't expect any further revision to this data set. The rest of the latest available data we consider "unconfirmed" + +```math +\text{Unconfirmed by } T :~ (X_{t,T})_{t=T-D+1, \ldots, T} +``` + +where we expect potentially significant future revisions. + +Suppose, we have a nowcasting model $f_{nc}$ that generates $k = 1, \ldots, K$ samples nowcasting the *eventual* time series over the uncertain data period, conditioned on all the data including for past report dates: + +```math +(X^{(k)}_{t})_{t=T-D+1, \ldots, T} \sim f_{nc} \mid (X_{t,T'})_{t=1, \ldots, T'; T' = 1, 2, \ldots, T} +``` + +for example by sampling from the posterior distribution of the nowcast model. +We can use the nowcast samples to "repair" the data for the uncertain period and then make forecasts conditioning on the repaired data, which should lead to better forecasts than conditioning on the latest reported data alone. + +### Batching over nowcast samples for forecasting + +A "naive" forecast distribution made on report date $T$ which treats the latest data as ground truth: + +```math +\mathbb{P}\left( (X_{t})_{t= T+1, \ldots, T+h} \mid (X_{t,T})_{t=1, \ldots, T} \right) +``` + +could be biased because it doesn't account for the fact that the latest data is likely to be revised upwards. + +However, using the nowcast estimates for the uncertain data we can instead make forecasts by marginalizing over the nowcast samples conditioning on the all data: + +```math +\mathbb{P}((X_{t})_{t= T+1, \ldots, T+h} \mid (X_{t,T'})_{t=1, \ldots, T', T' = 1, 2, \ldots, T} ) = \frac{1}{K} \sum_k \mathbb{P}((X_{t})_{t= T+1, \ldots, T+h}| (X_t)_{t=1, \ldots, T-D}, (X^{(k)}_t)_{t=T-D+1, \ldots, T}) +``` + +This kind of forecasting is particularly convenient for `AutoGP` because of the underlying use of data batched SMC inference, which allows us to use the standard end-to-end inference for the confirmed data and then batch over the sampled nowcasts using incremental inference. +Also, note that this approach is agnostic to the nowcasting model used, so more sophisticated nowcasting approaches could be used to generate the nowcast samples. + +## Methodology overview + +The main functions we offer for inference and forecasting are: + +- `NowcastAutoGP.make_and_fit_model`: This wraps `AutoGP` functionality to make inference on the **stable** part of the time series data using sequential Monte Carlo (SMC) over sequences of data ingestion with `n_particle` SMC particles. Each particle represents a Gaussian process (GP) model for the time series, and at each data ingestion step this particle ensemble can be resampled. Within each SMC particle new possible GP kernel structures and hyperparmeter values are proposed using a specialised MCMC proposal distribution for structural choices (see [`AutoGP` overview](https://probsys.github.io/AutoGP.jl/stable/api.html) for details) and HMC for continuous parameter samples. + +- `NowcastAutoGP.forecast_with_nowcasts`: This batches over proposed nowcasts for recent data, incrementally adding nowcast _possible_ data to make forecasts. The forecast distribution is the batch of forecasts over nowcasts of recent data. + +# Using `NowcastAutoGP` with NHSN hospitalisation data + +## Loading dependencies + +````julia +using NowcastAutoGP +using CairoMakie +using Dates, Distributions, Random +using CSV, TidierData +using Parameters: @unpack + +Random.seed!(123) +CairoMakie.activate!(type = "png") +```` + +## Loading Surveillance Data + +We are going to demonstrate using `NowcastAutoGP` for forecasting the CDC's +National Healthcare Safety Network (NHSN) reported Covid hospitalisations. +We stored a vintaged data set locally. + +````julia +datapath = joinpath( + pkgdir(NowcastAutoGP), "docs", "vignettes", "data", "vintaged_us_nhsn_data.csv" +) +nhsn_vintage_covid_data = CSV.read(datapath, DataFrame) + +unique_dates = sort(unique(nhsn_vintage_covid_data.reference_date)) # Add time_index column for plotting (1 = minimum date, 2 = next date, etc.) +d2index(d) = (d - minimum(unique_dates)).value + +nhsn_vintage_covid_data = @mutate( + nhsn_vintage_covid_data, + time_index = d2index(reference_date) +) +@glimpse(nhsn_vintage_covid_data) +```` + +```` +Rows: 4102 +Columns: 8 +.reference_dateDates.Date 2022-10-01, 2022-10-01, 2022-10-01, 2022-10-01, 20 +.report_date Dates.Date 2025-02-01, 2025-02-08, 2025-02-15, 2025-02-22, 20 +.confirm Float64 26180.0, 26180.0, 26180.0, 26180.0, 26180.0, 26180 +.max_confirm Float64 26150.0, 26150.0, 26150.0, 26150.0, 26150.0, 26150 +.lag Int64 854, 861, 868, 875, 882, 889, 896, 903, 910, 917, +.multiplier Float64 0.9988540870893812, 0.9988540870893812, 0.99885408 +.geo_value InlineStrings.String3us, us, us, us, us, us, us, us, us, us, us, +.time_index Int64 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, + +```` + +We see that the most recent report date, especially, is often revised +upward eventually. + +````julia +unique_report_dates = sort(unique(nhsn_vintage_covid_data.report_date)) +# Select every 4th report date, but always include the latest one +selected_dates = unique_report_dates[1:4:end] +if unique_report_dates[end] ∉ selected_dates + selected_dates = vcat(selected_dates, unique_report_dates[end]) +end +n_dates = length(selected_dates) + +# Create figure +fig = Figure(size = (800, 600)) +ax = Axis( + fig[1, 1], + xlabel = "Reference Date", + ylabel = "NHSN confirmed Covid hospitalisations", + title = "Reference Date vs Confirm by Report Date (Oct 2024+, all US)" +) + +# Generate colors - latest date will be black +colors = [i == n_dates ? :black : Makie.wong_colors()[mod1(i, 7)] for i in 1:n_dates] + +# Plot each selected report date using time_index +for (report_date, color) in zip(selected_dates, colors) + date_data = @chain nhsn_vintage_covid_data begin + @filter(report_date == !!report_date) + @arrange(reference_date) + end + + scatterlines!( + ax, date_data.time_index, date_data.confirm, + color = color, + label = string(report_date), + markersize = 8, + linewidth = 2 + ) +end + +# Set up custom x-axis with date strings +plot_start_date = Date(2024, 10, 1) +plot_end_date = Date(2025, 10, 1) + +# Create tick positions and labels (show every 4 weeks ≈ monthly) +tick_dates = range(plot_start_date, step = Week(4), length = 13) +tick_indices = d2index.(tick_dates) +tick_labels = [monthname(d)[1:3] * "-" * string(d)[(end - 1):end] for d in tick_dates] + +ax.xticks = (tick_indices, tick_labels) + +# Add legend +axislegend(ax, "report dates"; position = :rt) +xlims!(ax, d2index(plot_start_date), d2index(plot_end_date)) +ylims!(ax, 0, 2.2e4) +resize_to_layout!(fig) +fig +```` +![](getting-started-7.png) + +### Training data + +We know that some recent periods have had bad reporting for NHSN, so we +exclude them from the training data. + +````julia +exclusion_periods = [ + (Date(2024, 5, 1), Date(2024, 6, 1)), + (Date(2024, 10, 1), Date(2024, 11, 15)), +] + +training_data = let + function in_any_period(d) + in_periods = [d >= period[1] && d <= period[2] for period in exclusion_periods] + return ~any(in_periods) + end + + @chain nhsn_vintage_covid_data begin + @filter(in_any_period(reference_date)) + end +end +@glimpse(training_data) +```` + +```` +Rows: 3772 +Columns: 8 +.reference_dateDates.Date 2022-10-01, 2022-10-01, 2022-10-01, 2022-10-01, 20 +.report_date Dates.Date 2025-02-01, 2025-02-08, 2025-02-15, 2025-02-22, 20 +.confirm Float64 26180.0, 26180.0, 26180.0, 26180.0, 26180.0, 26180 +.max_confirm Float64 26150.0, 26150.0, 26150.0, 26150.0, 26150.0, 26150 +.lag Int64 854, 861, 868, 875, 882, 889, 896, 903, 910, 917, +.multiplier Float64 0.9988540870893812, 0.9988540870893812, 0.99885408 +.geo_value InlineStrings.String3us, us, us, us, us, us, us, us, us, us, us, +.time_index Int64 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, + +```` + +### Utility functions + +We add two utility functions to this tutorial that wrap some `NowcastAutoGP` +capabilities: + +A `fit_on_data` function that does the core workflow on confirmed data: + +1. Transforms the time series into the unconstrained domain. We use an + optimized Box-Cox transform to "normalize" the data. +2. Redact some of the recent data, either for poor quality or in + preparation for nowcasting. +3. Passes to the `make_and_fit_model` function from `NowcastAutoGP`. + +````julia +function fit_on_data( + report_date; + n_redact, + max_ahead = 8, + training_data = training_data, + n_particles = 24, # number of SMC particles, i.e. GP models, to maintain in the ensemble + smc_data_proportion = 0.1, # proportion of data to ingest per SMC step, by default shuffled batches + n_mcmc = 50, n_hmc = 50 # number of MCMC and HMC steps to run after each SMC step for particle refinement/refresh + ) + + # Filter for correct report date + date_data = @chain training_data begin + @filter(report_date == !!report_date) + @arrange(reference_date) + end + + # Dates to forecast + forecast_dates = [maximum(date_data.reference_date) + Week(k) for k in 0:max_ahead] + + transformation, inv_transformation = get_transformations("boxcox", date_data.confirm) + data_to_fit = create_transformed_data( + date_data.reference_date[1:(end - n_redact)], + date_data.confirm[1:(end - n_redact)]; transformation + ) + data_to_revise = ( + revise_dates = date_data.reference_date[(end - n_redact + 1):end], + revise_values = date_data.confirm[(end - n_redact + 1):end], + ) + model = make_and_fit_model( + data_to_fit; + n_particles, + smc_data_proportion, + n_mcmc, n_hmc + ) + return model, forecast_dates, transformation, inv_transformation, data_to_revise +end +```` + +We also give a handy plotting utility for plotting our results. + +````julia +function plot_with_forecasts( + forecasts, title::String; + n_ahead, + selected_dates, + colors = colors, + covid_data = nhsn_vintage_covid_data, + plot_start_date = plot_start_date, + plot_end_date = plot_end_date, + y_lim_up = 2.2e4, + size = (1000, 700), + xticks = (tick_indices, tick_labels) + ) + fig = Figure(size = size) + ax = Axis( + fig[1, 1], + xlabel = "Date", + ylabel = "NHSN confirmed Covid hospitalizations", + title = title + ) + + # Plot forecasts + for (report_date, forecast, color) in zip(selected_dates, forecasts, colors) + date_data = @chain nhsn_vintage_covid_data begin + @filter(report_date == !!report_date) + @arrange(reference_date) + end + + # Plot historical data as light lines + scatterlines!( + ax, date_data.time_index, date_data.confirm, + color = color, + linewidth = 2, + label = "$(report_date) data" + ) + + # Extract quantiles for forecasts + q25 = forecast.iqrs[1:n_ahead, 1] + median = forecast.iqrs[1:n_ahead, 2] + q75 = forecast.iqrs[1:n_ahead, 3] + forecast_indices = d2index.(forecast.dates)[1:n_ahead] + + # Plot uncertainty band (25%-75%) + band!( + ax, forecast_indices, q25, q75, + color = (color, 0.3) + ) + + # Plot median forecast + lines!( + ax, forecast_indices, median, + color = color, + linewidth = 3, + linestyle = :dash + ) + end + + # Add legend + axislegend(ax, "report dates"; position = :rt) + xlims!(ax, d2index(plot_start_date), d2index(plot_end_date)) + ylims!(ax, 0, y_lim_up) + ax.xticks = xticks + resize_to_layout!(fig) + return fig +end +```` + +## Fitting models on different report dates + +Most of the nowcasting revision happens in the most recent week, so as a first step we will fit models on different report dates redacting each most recent week. +These fitted models represent an `AutoGP` fit to the "confirmed" data on each report date. +In the next section we will use these fits to make forecasts with different nowcasting approaches. + +````julia +fitted_models_by_report_date = map(selected_dates) do report_date + model, forecast_dates, + transformation, + inv_transformation, + data_to_revise = fit_on_data( + report_date; + n_redact = 1, + training_data = training_data, + n_particles = 4 + ) + return ( + model_dict = Dict(model), forecast_dates = forecast_dates, + transformation = transformation, inv_transformation = inv_transformation, + data_to_revise = data_to_revise, + ) +end +```` + +```` +[ Info: Using Box-Cox transformation with λ = 0.22131240688077408 and offset = 0.0 +[ Info: Using Box-Cox transformation with λ = 0.20417626199072905 and offset = 0.0 +[ Info: Using Box-Cox transformation with λ = 0.16610573403843354 and offset = 0.0 +[ Info: Using Box-Cox transformation with λ = 0.121124688924113 and offset = 0.0 +[ Info: Using Box-Cox transformation with λ = 0.11522816443710317 and offset = 0.0 +[ Info: Using Box-Cox transformation with λ = 0.12383606867895428 and offset = 0.0 +[ Info: Using Box-Cox transformation with λ = 0.09504558934153737 and offset = 0.0 +[ Info: Using Box-Cox transformation with λ = 0.04783408834285875 and offset = 0.0 +[ Info: Using Box-Cox transformation with λ = 0.04071498264851919 and offset = 0.0 + +```` + +## Forecasting + +In this section we will use the fitted models to make forecasts of future confirmed hospitalisations. +We will compare four approaches: + +1. Forecasting naively. +2. Removing uncertain data. +3. Forecasting with a simple nowcast without refreshing the particles with HMC. +4. Forecasting with a simple nowcast with HMC refreshing between nowcast draws. +5. Forecasting with a simple nowcast with HMC refreshing between forecast draws. + +### Approach 1: Forecasting naively + +Naively, we could just use the latest reported data without considering revisions. +This approach is equivalent to creating the "nowcast" by taking the latest reported data as the best estimate of the eventual data, which is a common mistake when using data with reporting delays. +This will be biased because we know that typically the most recent data +will be revised upwards, but represents a common error when using this +data stream. + +````julia +n_forecasts = 2000 +naive_forecasts_by_reference_date = map(fitted_models_by_report_date) do fitted_model + @unpack model_dict, forecast_dates, transformation, inv_transformation, + data_to_revise = fitted_model + model = GPModel(model_dict) + # Create a "naive" nowcast by taking the latest reported data as the best estimate of the eventual data + # NB: we wrap the single nowcast in a vector to be compatible with the nowcast input "vector of vectors" format + naive_nowcasts = create_nowcast_data( + [data_to_revise.revise_values], data_to_revise.revise_dates; + transformation = transformation + ) + + forecasts = forecast_with_nowcasts( + model, naive_nowcasts, forecast_dates, n_forecasts; + inv_transformation = inv_transformation, ess_threshold = 1.0 + ) + + iqr_forecasts = mapreduce(vcat, eachrow(forecasts)) do fc + qs = quantile(fc, [0.25, 0.5, 0.75]) + qs' + end + + return (dates = forecast_dates, forecasts = forecasts, iqrs = iqr_forecasts) +end +```` + +When we plot we see that the unrevised data consistently underestimates +the eventual counts, which leads to poor forecasting. + +````julia +plot_with_forecasts( + naive_forecasts_by_reference_date, "Forecasts from Different Report Dates (naive)"; + n_ahead = 4, + selected_dates = selected_dates +) +```` +![](getting-started-19.png) + +### Approach 2: Removing uncertain data + +We note that the problem is _mainly_ with the most recent week of +hospitalisation reports. +Therefore, another strategy could be to simply redact that week. + +````julia +leave_out_last_forecasts_by_reference_date = map(fitted_models_by_report_date) do fitted_model + @unpack model_dict, forecast_dates, transformation, inv_transformation, + data_to_revise = fitted_model + model = GPModel(model_dict) + + forecasts = forecast(model, forecast_dates, n_forecasts; inv_transformation) + + iqr_forecasts = mapreduce(vcat, eachrow(forecasts)) do fc + qs = quantile(fc, [0.25, 0.5, 0.75]) + qs' + end + + return (dates = forecast_dates, forecasts = forecasts, iqrs = iqr_forecasts) +end +```` + +This looks improved but the forecasts have quite large prediction +intervals (we have effectively bumped the forecast horizon by one week). + +````julia +plot_with_forecasts( + leave_out_last_forecasts_by_reference_date, + "Forecasts from Different Report Dates (Leave out last week)"; + n_ahead = 4, + selected_dates = selected_dates +) +```` +![](getting-started-23.png) + +### Approaches 3-5: Forecasting with a simple nowcast + +Now lets consider a really simple nowcasting model. +Over recent vintages we notice that the most recent week gets revised +significantly but other weeks are fairly stable. +Therefore, we fit the ratio of last weeks report to last weeks eventual +reported to a LogNormal. The MLE fit for this was +LogNormal(logmean = 0.1, logstd = 0.027). + +We generate 100 nowcast samples for the most recent week, across all report dates, by sampling from this distribution and multiplying by the latest reported value for that week. + +````julia +n_nowcast_samples = 100 +# Simple nowcast on most recent data where we suspect significant revisions + +all_nowcast_samples = map(fitted_models_by_report_date) do fitted_model + @unpack data_to_revise = fitted_model + + nowcast_samples = [ + [data_to_revise.revise_values[end] * exp(0.1 + randn() * 0.027)] + for _ in 1:n_nowcast_samples + ] +end +```` + +We can use `forecast_with_nowcasts` to batch 20 forecasts per +nowcast signal on top of the inference done in step one. + +This is a very simple nowcasting approach! +Note that cached nowcasts from a more sophisticated approach, such as a +full generative model defined by e.g. +[`epinowcast`](https://package.epinowcast.org/) or +[`baselinenowcast`](https://baselinenowcast.epinowcast.org/), could have +been deserialized into this approach. + +We compare three variants: +- **Approach 3** uses the original forecasting method, drawing all forecast + samples from the mixture distribution over the weighted particles representing an ensemble of GP models. In this variant we don't enable any HMC steps to refresh the particle ensemble after incorporating the nowcast samples. +- **Approach 4** as approach 3, but updates the GP hyperparameters with an HMC refinement step between each _nowcast draw_ (`n_hmc=1`), which allows the GP _particles_ to adapt to the new data and increases the diversity of the forecast ensemble. +- **Approach 5** as approach 3, but interleaves HMC refinement steps between each _forecast + draw_ (`forecast_n_hmc=1`), which increases the diversity of the forecast ensemble by + more than Approach 4, but is more computationally expensive. + +Note that approach 5 is a mitigation strategy for having a particle ensemble that is too small to capture the posterior distribution over GP +hyperparameters, which could lead to underdispersed forecasts. If you have a large enough particle ensemble, approach 4 will be sufficient and equivalent to approach 5. + +#### Approach 3: Nowcast without HMC steps + +````julia +nowcast_no_hmc_forecasts_by_reference_date = map( + fitted_models_by_report_date, all_nowcast_samples +) do fitted_model, nowcast_samples + @unpack model_dict, forecast_dates, transformation, inv_transformation, + data_to_revise = fitted_model + model = GPModel(model_dict) + + nowcasts = create_nowcast_data( + nowcast_samples, [data_to_revise.revise_dates[end]]; + transformation = transformation + ) + + forecasts = forecast_with_nowcasts( + model, nowcasts, forecast_dates, n_forecasts ÷ n_nowcast_samples; + inv_transformation + ) + + iqr_forecasts = mapreduce(vcat, eachrow(forecasts)) do fc + qs = quantile(fc, [0.25, 0.5, 0.75]) + qs' + end + + return (dates = forecast_dates, forecasts = forecasts, iqrs = iqr_forecasts) +end + +plot_with_forecasts( + nowcast_no_hmc_forecasts_by_reference_date, + "Forecasts from Different Report Dates (Nowcast, no HMC)"; + n_ahead = 4, + selected_dates = selected_dates +) +```` +![](getting-started-27.png) + +#### Approach 4: Nowcast with HMC step after each nowcast draw + +Using the same nowcasting setup, we now enable a HMC step for each particle to refresh +the GP hyperparameters after incorporating each nowcast sample. Forecasts are then drawn from the refreshed particle ensemble without further HMC steps between forecast draws. +This allows the GP hyperparameters to be refined for each nowcast sample, producing a more diverse and +better-calibrated forecast ensemble. + +````julia +nowcast_nc_hmc_forecasts_by_reference_date = map( + fitted_models_by_report_date, all_nowcast_samples +) do fitted_model, nowcast_samples + @unpack model_dict, forecast_dates, transformation, inv_transformation, + data_to_revise = fitted_model + model = GPModel(model_dict) + + nowcasts = create_nowcast_data( + nowcast_samples, [data_to_revise.revise_dates[end]]; + transformation = transformation + ) + + forecasts = forecast_with_nowcasts( + model, nowcasts, forecast_dates, n_forecasts ÷ n_nowcast_samples; + inv_transformation, n_hmc = 1, verbose = true + ) + + iqr_forecasts = mapreduce(vcat, eachrow(forecasts)) do fc + qs = quantile(fc, [0.25, 0.5, 0.75]) + qs' + end + + return (dates = forecast_dates, forecasts = forecasts, iqrs = iqr_forecasts) +end + + +plot_with_forecasts( + nowcast_nc_hmc_forecasts_by_reference_date, + "Forecasts from Different Report Dates (Nowcast, with HMC refresh each nowcast)"; + n_ahead = 4, + selected_dates = selected_dates +) +```` +![](getting-started-29.png) + +#### Approach 5: Nowcast with HMC step after each forecast draw + +We now enable interleaved HMC parameter refinement between _forecast draws_. This allows the GP hyperparameters to +be refined between each forecast sample, which better reflects the posterior distribution over hyperparameters than approach 4, which only refines hyperparameters between nowcast samples. +This can lead to a more diverse and better-calibrated forecast ensemble, but is more computationally expensive. +Note that if you have a large enough particle ensemble, approach 4 will be sufficient and equivalent to approach 5, as the particle ensemble will already capture the posterior distribution over hyperparameters well enough that further HMC steps between forecast draws won't add much diversity. + +````julia +nowcast_dr_hmc_forecasts_by_reference_date = map( + fitted_models_by_report_date, all_nowcast_samples +) do fitted_model, nowcast_samples + @unpack model_dict, forecast_dates, transformation, inv_transformation, + data_to_revise = fitted_model + model = GPModel(model_dict) + + nowcasts = create_nowcast_data( + nowcast_samples, [data_to_revise.revise_dates[end]]; + transformation = transformation + ) + + forecasts = forecast_with_nowcasts( + model, nowcasts, forecast_dates, n_forecasts ÷ n_nowcast_samples; + inv_transformation, forecast_n_hmc = 1, n_hmc = 0, verbose = true + ) + + iqr_forecasts = mapreduce(vcat, eachrow(forecasts)) do fc + qs = quantile(fc, [0.25, 0.5, 0.75]) + qs' + end + + return (dates = forecast_dates, forecasts = forecasts, iqrs = iqr_forecasts) +end + +plot_with_forecasts( + nowcast_dr_hmc_forecasts_by_reference_date, + "Forecasts from Different Report Dates (Nowcast, with HMC refresh each forecast)"; + n_ahead = 4, + selected_dates = selected_dates +) +```` +![](getting-started-31.png) + +## Scoring + +To evaluate the quality of our different forecasting approaches, we use the +proper scoring rule **Continuous Ranked Probability Score (CRPS)**. +A proper scoring rule is a function that assigns a numerical score to a +probabilistic forecast, with the property that the score is optimized +(in expectation) when the forecast distribution matches the true +data distribution. + +CRPS is a proper scoring +rule that generalizes absolute error, i.e. mean absolute error (MAE), to being a proper score for probabilistic forecasts. For +a forecast distribution $F(x) = P(X \leq x)$ and observed outcome $y$, +the CRPS score is defined as: + +```math +\text{CRPS}(X, y) = \mathbb{E}[|X - y|] - \frac{1}{2}\mathbb{E}[|X_1 - X_2|] +``` + +where the first term measures the distance between the forecast ensemble +and the observation, and the second term measures the spread of the +forecast ensemble. + +For a forecast ensemble $X = \{X_1, X_2, \ldots, X_n\}$, this can be +estimated using an empirical sum. + +**Note:** For production forecasting evaluation, we recommend using the +comprehensive [`scoringutils`](https://epiforecasts.io/scoringutils/) R +package, which provides robust implementations of proper scoring rules, +forecast evaluation diagnostics, and visualization tools specifically +designed for epidemiological forecasting. + +Let's implement a simple CRPS function and functions for getting the +mean CRPS score over reporting dates and forecast horizons in order to +compare our five forecasting approaches: + +````julia +function crps(y::Real, X::Vector{<:Real}) + n = length(X) + + # First term: E|X - y| + term1 = mean(abs.(X .- y)) + + # Second term: E|X_1 - X_2| + # Calculate all ordered pairwise differences + ordered_pairwise_diffs = [abs(X[i] - X[j]) for i in 1:n for j in (i + 1):n] + term2 = mean(ordered_pairwise_diffs) + + # CRPS = E|X - y| - 0.5 * E|X_1 - X_2| + return term1 - 0.5 * term2 +end + +function score_forecast( + latestdata, forecast_dates, F; max_horizon = 4, data_transform = x -> x + ) + @assert max_horizon <= length(forecast_dates) "Not enough data to score full horizon" + score_dates = forecast_dates[1:max_horizon] + scorable_data = @filter(latestdata, reference_date in !!score_dates) + S = mapreduce(+, scorable_data.confirm[1:max_horizon], eachrow(F.forecasts[1:max_horizon, :])) do y, + X + crps(data_transform(y), data_transform.(X)) + end + return S / max_horizon +end + +function score_all_forecasts(latestdata, forecasts; max_horizon = 4, data_transform = x -> x) + total_score = mapreduce(+, forecasts; init = 0.0) do F + forecast_dates = F.dates + score_forecast(latestdata, forecast_dates, F; max_horizon, data_transform) + end + return total_score / length(forecasts) +end +```` + +We can apply the scoring to each forecasting method, leaving out the +most recent forecasts (where we don't have all the data to score them). + +````julia +most_recent_report_date = maximum(selected_dates) +latestdata = @filter(nhsn_vintage_covid_data, report_date == !!most_recent_report_date) + +scores = map( + [ + naive_forecasts_by_reference_date, + leave_out_last_forecasts_by_reference_date, + nowcast_no_hmc_forecasts_by_reference_date, + nowcast_nc_hmc_forecasts_by_reference_date, + nowcast_dr_hmc_forecasts_by_reference_date + ] +) do F + score_all_forecasts(latestdata, F[1:(end - 2)]; data_transform = log) +end +```` + +Then we can plot these scores as score ratios relative to the best +approach (nowcast with HMC step per forecast draw). + +````julia +# Calculate score ratios compared to nowcast with HMC (baseline) +baseline_score = scores[end] # nowcast with HMC step per forecast draw is the last in the list +score_ratios = [score / baseline_score for score in scores] + +# Create bar plot comparing score ratios +method_names = ["Naive", "Leave Out\nLast", "Nowcast\n(no HMC)", "Nowcast\n(NC HMC)", "Nowcast\n(DR HMC)"] + +fig = Figure(size = (700, 400)) +ax = Axis( + fig[1, 1], + xlabel = "Forecasting Method", + ylabel = "Score Ratio", + title = "Forecast Performance: Score Ratios over approaches (lower is better)" +) + +# Create bar plot with different colors based on performance +bar_colors = [ratio > 1.05 ? :red : abs(ratio - 1) < 0.05 ? :green : :blue for ratio in score_ratios] +barplot!( + ax, 1:5, score_ratios, + color = bar_colors, + alpha = 0.7, + strokewidth = 2, + strokecolor = :black +) + +# Add value labels on top of bars +for (i, ratio) in enumerate(score_ratios) + text!( + ax, i, ratio + 0.02, text = string(round(ratio, digits = 2)), + align = (:center, :bottom), fontsize = 12 + ) +end + +# Add horizontal line at y=1 for reference (baseline) +hlines!(ax, [1], color = :black, linestyle = :dash, linewidth = 1) + +# Set x-axis labels +ax.xticks = (1:5, method_names) + +# Add some padding to y-limits +y_max = maximum(score_ratios) +ylims!(ax, 0.8, y_max + 0.1) + +resize_to_layout!(fig) +fig +```` +![](getting-started-37.png) + +### Results and Interpretation + +The score ratios clearly show progressive improvement across approaches: + +1. **Naive forecasting performs worst** - The score ratio shows that + naive forecasting is significantly worse than the baseline + (ratio > 1), demonstrating that using the most recent reported data + without any adjustment for reporting delays leads to systematically + poor forecast accuracy. This approach fails to account for the known + issue that recent hospitalizations are significantly under-reported. + +2. **Leaving out the last week shows intermediate performance** - This + approach achieves a score ratio between the naive method and the + nowcasting approaches, indicating improved performance over naive + forecasting but still worse than nowcasting. While excluding the + most recent (and most uncertain) week removes problematic bias due to reporting + delay, it effectively increases our forecast horizon by one week, + leading to overdispersed predictions. + +3. **Batched forecasts over nowcasts performed best** - Batching over nowcast samples significantly improves forecast skill, + with the simple nowcast outperforming the naive + and leave-out approaches. This demonstrates that even a simple + nowcasting model that adjusts for expected revisions in recent data can + substantially enhance forecast performance. Increasing the diversity of the forecast ensemble with HMC steps offered marginal improvements, suggesting that while hyperparameter refinement can help, the main gains come from incorporating nowcast adjustments. + +These results support the core motivation for `NowcastAutoGP` - that +combining nowcasting with time series modeling can +significantly improve forecast skill in real-world surveillance +scenarios where reporting delays are common. + +--- + +*This page was generated using [Literate.jl](https://github.com/fredrikekre/Literate.jl).* + diff --git a/docs/src/vignettes/tutorial.md b/docs/src/vignettes/tutorial.md deleted file mode 100644 index b3483ef..0000000 --- a/docs/src/vignettes/tutorial.md +++ /dev/null @@ -1,666 +0,0 @@ -# Getting Started with `NowcastAutoGP` -CDC Center for Forecasting and Outbreak Analytics (CFA/CDC) - -# Introduction - -This tutorial demonstrates how to use `NowcastAutoGP` for -epidemiological forecasting - making forecasts of future disease -activity despite reporting delays making the latest data unreliable. -This is a common challenge in public health surveillance where case -reports arrive with delays. In this tutorial, we will want to forecast -future weekly hospital admissions with confirmed Covid diagnosis despite -uncertainty around the eventual value of recent admissions. The reason -for the uncertainty is that despite *eventually* having a record of -severe cases arriving in a given week (we call this the reference date), -at any given reporting week (we call this the report date) recent -reference dates will not have complete data. - -## What is Nowcasting? - -Nowcasting is a form of forecasting aimed at the question: *“What will -be the eventual value of my time series, given recent reporting?”* - -From our perspective common applications are: - -- COVID-19/Influenza/RSV hospital admissions -- COVID-19/Influenza/RSV Emergency department visits -- Real-time monitoring of reproductive numbers $R_t$ - -## The purpose of `NowcastAutoGP` - -The time series Gaussian process structure discovery and ensemble -forecast package [`AutoGP.jl`](https://github.com/probsys/AutoGP.jl) is -highly impressive, but doesn’t include features for ingesting the kind -of data we expect from a signal that needs significant nowcasting to -become reliable. - -`NowcastAutoGP` is an extension of `AutoGP` that uses `AutoGP`’s -incremental inference features to include nowcasting results into the -forecasting problem. - -When forecasting a time series - -```math -X_T[1:T] = (X_{t,T})_{t=1:T} -``` - -on report date $T$ we split between data on a backwards horizon $D$ where we -consider older data “confirmed” - -```math -X_T[1:(T-D)] = (X_{t,T})_{t=1:(T-D)} -``` - -that we don’t expect any further revision to; that is we expect that - -```math -X_T[1:(T-D)] = X_\infty[1:(T-D)]. -``` - -The rest of the data we consider -“unconfirmed” $X_T[(T-D+1):T]$ where we expect potentially significant -future revisions and $X_T[(T-D+1):T] \neq X_\infty[(T-D+1):T]$. - -Suppose, we have a nowcasting model that generates $K$ samples that -forecast the *eventual* time series over the uncertain data period the -$k$th sample being - -```math -X^{(k)}_\infty[(T-D+1):T] = (X^{(k)}_{t,\infty})_{t=(T-D+1):T}; -``` - -for example by sampling from the posterior distribution. Then we can improve -our `AutoGP` forecasting for the *eventual* value on reference date -$f > T$ by replacing our “naive” forecast distribution: - -```math -\mathbb{P}(X_{f,\infty} | X_T[1:(T-D)], X_T[(T-D+1):T]) -``` - -with the nowcast estimate for the uncertain data: - -```math -\mathbb{P}(X_{f,\infty} \mid X_T[1:(T-D)], X_\infty[(T-D+1):T]) = \frac{1}{K} \sum_k \mathbb{P}(X_{f,\infty} | X_T[1:(T-D)], X^{(k)}_\infty[(T-D+1):T]) -``` - -This kind of forecasting is particularly convenient for `AutoGP`: we can -use the standard end-to-end inference for the confirmed data and then -batch over the sampled nowcasts using incremental inference. - -## Methodology overview - -The main functions we offer for inference and forecasting are: - -- `NowcastAutoGP.make_and_fit_model`: This wraps `AutoGP` functionality - to make inference on the **stable** part of the time series data using - sequential Monte Carlo (SMC) over sequences of data ingestion over - `n_particle` SMC particles. Each particle represents a Gaussian - process (GP) model for the time series, and at each data ingestion - step this particle ensemble can be resampled. Within each SMC particle - new possible GP kernel structures and hyperparmeter values are - proposed using a specialised MCMC proposal distribution for structural - choices (see [`AutoGP` - overview](https://probsys.github.io/AutoGP.jl/stable/api.html) for - details) and HMC for continuous parameter samples. - -- `NowcastAutoGP.forecast_with_nowcasts`: This batches over proposed - nowcasts for recent data, incrementally adding nowcast *possible* data - to make forecasts before removing. The forecast distribution is the - batch of forecasts over nowcasts of recent data. - -# Using `NowcastAutoGP` with NHSN hospitalisation data - -## Loading dependencies - -``` julia -using NowcastAutoGP -using CairoMakie -using Dates, Distributions, Random -using CSV, TidierData - -# Set random seed for reproducibility -Random.seed!(123) - -# Set CairoMakie output to png for quarto compat -CairoMakie.activate!(type = "png") -``` - -## Loading Surveillance Data - -We are going to demonstrate using `NowcastAutoGP` for forecasting the -CDC’s National Healthcare Safety Network (NHSN) reported Covid -hospitalisations. We stored a vintaged data set locally. - -``` julia -datapath = joinpath(@__DIR__(), "data", "vintaged_us_nhsn_data.csv") -nhsn_vintage_covid_data = CSV.read(datapath, DataFrame) - -# Add time_index column for plotting (1 = minimum date, 2 = next date, etc.) -unique_dates = sort(unique(nhsn_vintage_covid_data.reference_date)) -d2index(d) = (d - minimum(unique_dates)).value - -# Add time_index column using transform! - -nhsn_vintage_covid_data = @mutate(nhsn_vintage_covid_data, time_index = d2index(reference_date)) -@glimpse(nhsn_vintage_covid_data) -``` - - Rows: 4102 - Columns: 8 - .reference_dateDates.Date 2022-10-01, 2022-10-01, 2022-10-01, 2022-10-01, 20 - .report_date Dates.Date 2025-02-01, 2025-02-08, 2025-02-15, 2025-02-22, 20 - .confirm Float64 26180.0, 26180.0, 26180.0, 26180.0, 26180.0, 26180 - .max_confirm Float64 26150.0, 26150.0, 26150.0, 26150.0, 26150.0, 26150 - .lag Int64 854, 861, 868, 875, 882, 889, 896, 903, 910, 917, - .multiplier Float64 0.9988540870893812, 0.9988540870893812, 0.99885408 - .geo_value InlineStrings.String3us, us, us, us, us, us, us, us, us, us, us, - .time_index Int64 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, - -We see that the most recent report date, especially, is often revised -upward eventually. - -``` julia -unique_report_dates = sort(unique(nhsn_vintage_covid_data.report_date)) -# Select every 4th report date, but always include the latest one -selected_dates = unique_report_dates[1:4:end] -if unique_report_dates[end] ∉ selected_dates - selected_dates = vcat(selected_dates, unique_report_dates[end]) -end -n_dates = length(selected_dates) - -# Create figure -fig = Figure(size = (800, 600)) -ax = Axis(fig[1, 1], - xlabel = "Reference Date", - ylabel = "NHSN confirmed Covid hospitalisations", - title = "Reference Date vs Confirm by Report Date (Oct 2024+, all US)" -) - -# Generate colors - latest date will be black -colors = [i == n_dates ? :black : Makie.wong_colors()[mod1(i, 7)] for i in 1:n_dates] - -# Plot each selected report date using time_index -for (report_date, color) in zip(selected_dates, colors) - date_data = @chain nhsn_vintage_covid_data begin - @filter(report_date == !!report_date) - @arrange(reference_date) - end - - scatterlines!(ax, date_data.time_index, date_data.confirm, - color = color, - label = string(report_date), - markersize = 8, - linewidth = 2 - ) -end - -# Set up custom x-axis with date strings -# Get date range for the plot and corresponding indices -plot_start_date = Date(2024, 10, 1) -plot_end_date = Date(2025, 10, 1) - -# Create tick positions and labels (show every 4 weeks ≈ monthly) -tick_dates = range(plot_start_date, step = Week(4), length = 13) - -# plot_start_date:Week(4):plot_end_date -tick_indices = d2index.(tick_dates) -tick_labels = [monthname(d)[1:3] * "-" * string(d)[(end-1):end] for d in tick_dates] # Show month-day - -ax.xticks = (tick_indices, tick_labels) - -# Add legend -axislegend(ax, "report dates"; position = :rt) -xlims!(ax, d2index(plot_start_date), d2index(plot_end_date)) -ylims!(ax, 0, 2.2e4) -resize_to_layout!(fig) -fig -``` - -![](../assets/tutorial/cell-5-output-1.png) - -### Training data - -We know that some recent periods have had bad reporting for NHSN, so we -exclude them from the training data. - -``` julia -exclusion_periods = [(Date(2024, 5, 1), Date(2024, 6, 1)), - (Date(2024, 10, 1), Date(2024, 11, 15))] - -training_data = let - function in_any_period(d) - in_periods = [d >= period[1] && d <= period[2] for period in exclusion_periods] - return ~any(in_periods) - end - - @chain nhsn_vintage_covid_data begin - @filter(in_any_period(reference_date)) - end -end -@glimpse(training_data) -``` - - Rows: 3772 - Columns: 8 - .reference_dateDates.Date 2022-10-01, 2022-10-01, 2022-10-01, 2022-10-01, 20 - .report_date Dates.Date 2025-02-01, 2025-02-08, 2025-02-15, 2025-02-22, 20 - .confirm Float64 26180.0, 26180.0, 26180.0, 26180.0, 26180.0, 26180 - .max_confirm Float64 26150.0, 26150.0, 26150.0, 26150.0, 26150.0, 26150 - .lag Int64 854, 861, 868, 875, 882, 889, 896, 903, 910, 917, - .multiplier Float64 0.9988540870893812, 0.9988540870893812, 0.99885408 - .geo_value InlineStrings.String3us, us, us, us, us, us, us, us, us, us, us, - .time_index Int64 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, - -### Utility functions - -We add two utility functions to this tutorial that wrap some -`NowcastAutoGP` capabilities: - -A `fit_on_data` function that does the core workflow on confirmed data: - -1. Transforms the time series into the unconstrained domain. We use an - optimized Box-Cox transform to “normalize” the data. -2. Redact some of the recent data, either for poor quality or in - preparation for nowcasting. -3. Passes to the `make_and_fit_model` function. - -``` julia -function fit_on_data(report_date; - n_redact, - max_ahead = 8, - date_data = date_data, - n_particles = 24, - smc_data_proportion = 0.1, - n_mcmc = 50, n_hmc = 50) - - # Dates to forecast - forecast_dates = [maximum(date_data.reference_date) + Week(k) for k = 0:max_ahead] - - transformation, inv_transformation = get_transformations("boxcox", date_data.confirm) - data_to_fit = create_transformed_data(date_data.reference_date[1:(end-n_redact)], date_data.confirm[1:(end-n_redact)]; transformation) - model = make_and_fit_model(data_to_fit; - n_particles, - smc_data_proportion, - n_mcmc, n_hmc) - return model, forecast_dates, transformation, inv_transformation -end -``` - -We also give a handy plotting utility for plotting our results. - -``` julia -function plot_with_forecasts(forecasts, title::String; - n_ahead, - selected_dates, - colors = colors, - covid_data = nhsn_vintage_covid_data, - plot_start_date = plot_start_date, - plot_end_date = plot_end_date, - y_lim_up = 2.2e4, - size = (1000, 700), - xticks = (tick_indices, tick_labels), - ) - - fig = Figure(size = size) - ax = Axis(fig[1, 1], - xlabel = "Date", - ylabel = "NHSN confirmed Covid hospitalizations", - title = title - ) - -# Plot forecasts - for (report_date, forecast, color) in zip(selected_dates, forecasts, colors) - - date_data = @chain nhsn_vintage_covid_data begin - @filter(report_date == !!report_date) - @arrange(reference_date) - end - - # Plot historical data as light lines - scatterlines!(ax, date_data.time_index, date_data.confirm, - color = color, - linewidth = 2, - label = "$(report_date) data" - ) - - # Extract quantiles for forecasts - q25 = forecast.iqrs[1:n_ahead, 1] # 25th percentile - median = forecast.iqrs[1:n_ahead, 2] # 50th percentile (median) - q75 = forecast.iqrs[1:n_ahead, 3] # 75th percentile - forecast_indices = d2index.(forecast.dates)[1:n_ahead] - - # Plot uncertainty band (25%-75%) - band!(ax, forecast_indices, q25, q75, - color = (color, 0.3), - ) - - # Plot median forecast - lines!(ax, forecast_indices, median, - color = color, - linewidth = 3, - linestyle = :dash, - ) - end - - # Add legend - axislegend(ax, "report dates"; position = :rt) - # Limits - xlims!(ax, d2index(plot_start_date), d2index(plot_end_date)) - ylims!(ax, 0, y_lim_up) - # Xticks - ax.xticks = xticks - # Return - resize_to_layout!(fig) - return fig -end - -``` - -## Forecasting - -### Approach 1: Forecasting naively - -Naively, we could just use `AutoGP` on the latest reported data without -considering revisions. This will be biased because we know that -typically the most recent data will be revised upwards, but represents a -common error when using this data stream. - -``` julia -n_forecasts = 2000 -naive_forecasts_by_reference_date = map(selected_dates) do report_date - # Filter for correct report date - date_data = @chain training_data begin - @filter(report_date == !!report_date) - @arrange(reference_date) - end - model, forecast_dates, transformation, inv_transformation = fit_on_data(report_date; - n_redact = 0, - date_data = date_data, - ) - forecasts = forecast(model, forecast_dates, n_forecasts; inv_transformation) - - iqr_forecasts = mapreduce(vcat, eachrow(forecasts)) do fc - qs = quantile(fc, [0.25, 0.5, 0.75]) - qs' - end - - return (dates = forecast_dates, forecasts = forecasts, iqrs = iqr_forecasts) -end -``` - -When we plot we see that the unrevised data consistently underestimates -the eventual counts, which leads to poor forecasting. - -``` julia -plot_with_forecasts(naive_forecasts_by_reference_date, "Forecasts from Different Report Dates (naive)"; - n_ahead = 4, - selected_dates = selected_dates, - ) -``` - -![](../assets/tutorial/cell-10-output-1.png) - -### Approach 2: Removing uncertain data - -We note that the problem is *mainly* with the most recent week of -hospitalisation reports. Therefore, another strategy could be to simply -redact that week but otherwise leave out forecasting untouched. - -``` julia - -leave_out_last_forecasts_by_reference_date = map(selected_dates) do report_date - date_data = @chain training_data begin - @filter(report_date == !!report_date) - @arrange(reference_date) - end - model, forecast_dates, transformation, inv_transformation = fit_on_data(report_date; - n_redact = 1, # Ignore last week of data - date_data = date_data, - ) - forecasts = forecast(model, forecast_dates, n_forecasts; inv_transformation) - - iqr_forecasts = mapreduce(vcat, eachrow(forecasts)) do fc - qs = quantile(fc, [0.25, 0.5, 0.75]) - qs' - end - - return (dates = forecast_dates, forecasts = forecasts, iqrs = iqr_forecasts) -end -``` - -This looks improved but the forecasts have quite large prediction -intervals (we have effectively bumped the forecast horizon by one week). - -``` julia -plot_with_forecasts(leave_out_last_forecasts_by_reference_date, "Forecasts from Different Report Dates (Leave out last week)"; - n_ahead = 4, - selected_dates = selected_dates, - ) -``` - -![](../assets/tutorial/cell-12-output-1.png) - -### Approach 3: Forecasting with a simple nowcast - -Now lets consider a really simple nowcasting model. Over recent vintages -we notice that the most recent week gets revised significantly but other -weeks are fairly stable. Therefore, we fit the ratio of last weeks -report to last weeks eventual reported to a LogNormal. The MLE fit for -this was LogNormal(logmean = 0.1, logstd = 0.027). - -In the following example, for each vintage we first fit to all the data -except the most recent week (`n_redact = 1`). Second, we sample a -multiplier for the most recent week from the LogNormal distribution 100 -times. Third, we use `forecast_with_nowcasts` to batch 20 forecasts per -nowcast signal ontop of the inference done in step one. - -This is a very simple nowcasting approach! Note that cached nowcasts -from a more sophisticated approach, such as a full generative model -defined by e.g. [`epinowcast`](https://package.epinowcast.org/) or -[`baselinenowcast`](https://baselinenowcast.epinowcast.org/), could have -been deserialized into this approach. - -``` julia -n_nowcast_samples = 100 -nowcast_forecasts_by_reference_date = map(selected_dates) do report_date - # Filter for correct report date - date_data = @chain training_data begin - @filter(report_date == !!report_date) - @arrange(reference_date) - end - # Fit on all accepted data - model, forecast_dates, transformation, inv_transformation = fit_on_data(report_date; - n_redact = 1, - date_data = date_data, - ) - # Simple nowcast on most recent data where we suspect significant revisions - nowcast_samples = [[date_data.confirm[end] * exp(0.1 + randn() * 0.027)] for _ = 1:n_nowcast_samples] - - nowcasts = create_nowcast_data(nowcast_samples, [date_data.reference_date[end]]; - transformation = transformation) - - forecasts = forecast_with_nowcasts(model, nowcasts, forecast_dates, n_forecasts ÷ n_nowcast_samples ; inv_transformation) - - iqr_forecasts = mapreduce(vcat, eachrow(forecasts)) do fc - qs = quantile(fc, [0.25, 0.5, 0.75]) - qs' - end - - return (dates = forecast_dates, forecasts = forecasts, iqrs = iqr_forecasts) -end -``` - -We see that this significantly improves the forecasting visually. - -``` julia -plot_with_forecasts(nowcast_forecasts_by_reference_date, "Forecasts from Different Report Dates (Simple Nowcast)"; - n_ahead = 4, - selected_dates = selected_dates, - ) -``` - -![](../assets/tutorial/cell-14-output-1.png) - -## Scoring - -To evaluate the quality of our different forecasting approaches, we use -proper scoring rules. A proper scoring rule is a function that assigns a -numerical score to a probabilistic forecast, with the property that the -score is optimized (in expectation) when the forecast distribution -matches the true future data distribution. - -The **Continuous Ranked Probability Score (CRPS)** is a proper scoring -rule that generalizes the absolute error to probabilistic forecasts. For -a forecast distribution $F(x) = P(X \leq x)$ and observed outcome $y$, -the CRPS is defined as: - -```math -\text{CRPS}(X, y) = \mathbb{E}[|X - y|] - \frac{1}{2}\mathbb{E}[|X_1 - X_2|] -``` - -where the first term measures the distance between the forecast ensemble -and the observation, and the second term measures the spread of the -forecast ensemble. - -For a forecast ensemble $X = \{X_1, X_2, \ldots, X_n\}$, this can be -estimated using an empirical sum. - -**Note:** For production forecasting evaluation, we recommend using the -comprehensive [`scoringutils`](https://epiforecasts.io/scoringutils/) R -package, which provides robust implementations of proper scoring rules, -forecast evaluation diagnostics, and visualization tools specifically -designed for epidemiological forecasting. - -Let’s implement a simple CRPS function and functions for getting the -mean CRPS score over reporting dates and forecast horizons in order to -compare our three forecasting approaches: - -``` julia -function crps(y::Real, X::Vector{<:Real}) - n = length(X) - - # First term: E|X - y| - term1 = mean(abs.(X .- y)) - - # Second term : E|X_1 - X_2| - # Calculate all ordered pairwise differences - ordered_pairwise_diffs = [abs(X[i] - X[j]) for i in 1:n for j in (i+1):n] - term2 = mean(ordered_pairwise_diffs) #Average value is same as going over all combinations and div by n^2 due to zero diagonal and permutation symmetry - - # CRPS = E|X - y| - 0.5 * E|X_1 - X_2| - return term1 - 0.5 * term2 -end - -function score_forecast(latestdata, forecast_dates, F; max_horizon = 4, data_transform = x -> x) - @assert max_horizon <= length(forecast_dates) "Not enough data to score full horizon" - score_dates = forecast_dates[1:max_horizon] - scorable_data = @filter(latestdata, reference_date in !!score_dates) - S = mapreduce(+, scorable_data.confirm[1:max_horizon], eachrow(F.forecasts[1:max_horizon, :])) do y, X #Iterate over forecast dates - crps(data_transform(y), data_transform.(X)) - end - return S / max_horizon -end - -function score_all_forecasts(latestdata, forecasts; max_horizon = 4, data_transform = x -> x) - total_score = mapreduce(+, forecasts; init = 0.0) do F # iterate over forecasts - forecast_dates = F.dates - score_forecast(latestdata, forecast_dates, F; max_horizon, data_transform) - end - return total_score / length(forecasts) -end -``` - -We can apply the scoring to each forecasting method, leaving out the -most recent forecasts (where we don’t have all the data to score them). - -``` julia -most_recent_report_date = maximum(selected_dates) -latestdata = @filter(nhsn_vintage_covid_data, report_date == !!most_recent_report_date) - -scores = map([naive_forecasts_by_reference_date, leave_out_last_forecasts_by_reference_date, nowcast_forecasts_by_reference_date]) do F - score_all_forecasts(latestdata, F[1:(end-2)]; data_transform = identity) -end -``` - -Then we can plot these scores as score ratios relative to the simple -nowcasting approach. - -``` julia -# Calculate score ratios compared to simple nowcast (baseline) -baseline_score = scores[3] # Simple nowcast score -score_ratios = [score / baseline_score for score in scores] - -# Create bar plot comparing score ratios -method_names = ["Naive", "Leave Out Last", "Simple Nowcast"] - -fig = Figure(size = (600, 400)) -ax = Axis(fig[1, 1], - xlabel = "Forecasting Method", - ylabel = "Score Ratio (lower is better)", - title = "Forecast Performance: Score Ratios vs Simple Nowcast" -) - -# Create bar plot with different colors based on performance -bar_colors = [ratio > 1 ? :red : ratio == 1 ? :green : :blue for ratio in score_ratios] -barplot!(ax, 1:3, score_ratios, - color = bar_colors, - alpha = 0.7, - strokewidth = 2, - strokecolor = :black) - -# Add value labels on top of bars -for (i, ratio) in enumerate(score_ratios) - text!(ax, i, ratio + 0.02, text = string(round(ratio, digits=2)), - align = (:center, :bottom), fontsize = 12) -end - -# Add horizontal line at y=1 for reference (baseline) -hlines!(ax, [1], color = :black, linestyle = :dash, linewidth = 1) - -# Set x-axis labels -ax.xticks = (1:3, method_names) -ax.xticklabelrotation = π/4 - -# Add some padding to y-limits -y_max = maximum(score_ratios) -ylims!(ax, 0.8, y_max + 0.1) - -resize_to_layout!(fig) -fig -``` - -![Score ratios comparison (relative to simple nowcast baseline)](../assets/tutorial/cell-17-output-1.png) - -### Results and Interpretation - -The score ratios clearly show the improvement over this tutorial: - -1. **Naive forecasting performs worst** - The score ratio shows that - naive forecasting is significantly worse than the nowcast baseline - (ratio > 1), demonstrating that using the most recent reported data - without any adjustment for reporting delays leads to systematically - poor forecast accuracy. This approach fails to account for the known - issue that recent hospitalizations are significantly under-reported. - -2. **Leaving out the last week shows intermediate performance** - This - approach achieves a score ratio between the naive method and the - baseline, indicating improved performance over naive forecasting but - still worse than nowcasting. While excluding the most recent (and - most uncertain) week removes problematic reporting delays, it - effectively increases our forecast horizon by one week, leading to - increased uncertainty in predictions. - -3. **Simple nowcasting provides the baseline performance** - By - definition, the simple nowcasting approach has a score ratio of 1.0, - serving as our reference point. Even this basic nowcasting approach - (using a simple log-normal multiplier for the most recent week) - substantially outperforms both alternatives, demonstrating the value - of explicitly modelling reporting delays rather than simply ignoring - uncertain data. - -These results support the core motivation for `NowcastAutoGP` - that -combining nowcasting with sophisticated time series modeling can -significantly improve forecast accuracy in real-world surveillance -scenarios where reporting delays are common. The score ratios provide a -clear, interpretable metric showing the improvement that nowcasting -provides over simpler alternatives. diff --git a/docs/vignettes/tutorial.jl b/docs/vignettes/getting-started.jl similarity index 76% rename from docs/vignettes/tutorial.jl rename to docs/vignettes/getting-started.jl index 7d8c2bc..8f5bc04 100644 --- a/docs/vignettes/tutorial.jl +++ b/docs/vignettes/getting-started.jl @@ -1,9 +1,4 @@ using Markdown -using Pkg -path_to_doc_project = joinpath(@__DIR__, "..") -Pkg.activate(path_to_doc_project) -path_to_package = joinpath(@__DIR__, "..", "..") -Pkg.develop(path = path_to_package) md""" # Getting Started with `NowcastAutoGP` @@ -44,7 +39,7 @@ and hyperparameters, aiming to avoid manual kernel engineering. The main limitation of `AutoGP` is that it is specialised for pure time series modelling (e.g. no covariates). -## What is Nowcasting? +## What is Nowcasting and how does `NowcastAutoGP` help? The time series Gaussian process structure discovery and ensemble forecast package [`AutoGP.jl`](https://github.com/probsys/AutoGP.jl) is @@ -56,61 +51,78 @@ become reliable. incremental inference features to include nowcasting results into the forecasting problem. -When forecasting a time series +### The forecasting problem with data revisions + +When forecasting a time series with revisions, we consider two time indices: + +1. The reference date $t$ which is the date of the event we are trying to forecast (e.g. hospital admission). +2. The report date $T$ which is the "current date" of a group of data indexed by reference dates; this represents how the data looked at different points in time as more data came in and revisions were made. + +On any given report date $T$, we have a time series of data for reference dates and past report dates up to $T$: + +```math +(X_{t,T'})_{t=1, \ldots, T'; T' = 1, 2, \ldots, T}. +``` + +The core forecasting challenge is to forecast the _eventual_ time series, that is the time series of _eventual_ values for each reference date: ```math -X_T[1:T] = (X_{t,T})_{t=1:T} +X_t = X_{t,\infty} \qquad t = 1, 2, \ldots ``` -on report date $T$ we split between data on a backwards horizon $D$ where we -consider older data "confirmed" +where "$T = \infty$" represents the eventual reported value of the time series at some point in the future when the data is fully revised and stable. + +### Nowcasting to address data revisions + +On any report date $T$ we can split the latest available data on a backwards horizon $D$ where we consider older data "confirmed" ```math -X_T[1:(T-D)] = (X_{t,T})_{t=1:(T-D)} +\text{Confirmed by } T :~ (X_{t,T})_{t=1, \ldots, T-D} = (X_t)_{t=1, \ldots, T-D}. ``` -that we don't expect any further revision to; that is we expect that +We don't expect any further revision to this data set. The rest of the latest available data we consider "unconfirmed" + ```math -X_T[1:(T-D)] = X_\infty[1:(T-D)]. +\text{Unconfirmed by } T :~ (X_{t,T})_{t=T-D+1, \ldots, T} ``` -The rest of the data we consider -"unconfirmed" $X_T[(T-D+1):T]$ where we expect potentially significant -future revisions and $X_T[(T-D+1):T] \neq X_\infty[(T-D+1):T]$. +where we expect potentially significant future revisions. -Suppose, we have a nowcasting model that generates $K$ samples that -forecast the *eventual* time series over the uncertain data period the -$k$th sample being +Suppose, we have a nowcasting model $f_{nc}$ that generates $k = 1, \ldots, K$ samples nowcasting the *eventual* time series over the uncertain data period, conditioned on all the data including for past report dates: ```math -X^{(k)}_\infty[(T-D+1):T] = (X^{(k)}_{t,\infty})_{t=(T-D+1):T}; +(X^{(k)}_{t})_{t=T-D+1, \ldots, T} \sim f_{nc} \mid (X_{t,T'})_{t=1, \ldots, T'; T' = 1, 2, \ldots, T} ``` -for example by sampling from the posterior distribution. Then we can improve -our `AutoGP` forecasting for the *eventual* value on reference date -$f > T$ by replacing our "naive" forecast distribution: +for example by sampling from the posterior distribution of the nowcast model. +We can use the nowcast samples to "repair" the data for the uncertain period and then make forecasts conditioning on the repaired data, which should lead to better forecasts than conditioning on the latest reported data alone. + +### Batching over nowcast samples for forecasting + +A "naive" forecast distribution made on report date $T$ which treats the latest data as ground truth: ```math -\mathbb{P}(X_{f,\infty} | X_T[1:(T-D)], X_T[(T-D+1):T]) +\mathbb{P}\left( (X_{t})_{t= T+1, \ldots, T+h} \mid (X_{t,T})_{t=1, \ldots, T} \right) ``` -with the nowcast estimate for the uncertain data: +could be biased because it doesn't account for the fact that the latest data is likely to be revised upwards. + +However, using the nowcast estimates for the uncertain data we can instead make forecasts by marginalizing over the nowcast samples conditioning on the all data: ```math -\mathbb{P}(X_{f,\infty} \mid X_T[1:(T-D)], X_\infty[(T-D+1):T]) = \frac{1}{K} \sum_k \mathbb{P}(X_{f,\infty} | X_T[1:(T-D)], X^{(k)}_\infty[(T-D+1):T]) +\mathbb{P}((X_{t})_{t= T+1, \ldots, T+h} \mid (X_{t,T'})_{t=1, \ldots, T', T' = 1, 2, \ldots, T} ) = \frac{1}{K} \sum_k \mathbb{P}((X_{t})_{t= T+1, \ldots, T+h}| (X_t)_{t=1, \ldots, T-D}, (X^{(k)}_t)_{t=T-D+1, \ldots, T}) ``` -This kind of forecasting is particularly convenient for `AutoGP`: we can -use the standard end-to-end inference for the confirmed data and then -batch over the sampled nowcasts using incremental inference. +This kind of forecasting is particularly convenient for `AutoGP` because of the underlying use of data batched SMC inference, which allows us to use the standard end-to-end inference for the confirmed data and then batch over the sampled nowcasts using incremental inference. +Also, note that this approach is agnostic to the nowcasting model used, so more sophisticated nowcasting approaches could be used to generate the nowcast samples. ## Methodology overview The main functions we offer for inference and forecasting are: -- `NowcastAutoGP.make_and_fit_model`: This wraps `AutoGP` functionality to make inference on the **stable** part of the time series data using sequential Monte Carlo (SMC) over sequences of data ingestion over `n_particle` SMC particles. Each particle represents a Gaussian process (GP) model for the time series, and at each data ingestion step this particle ensemble can be resampled. Within each SMC particle new possible GP kernel structures and hyperparmeter values are proposed using a specialised MCMC proposal distribution for structural choices (see [`AutoGP` overview](https://probsys.github.io/AutoGP.jl/stable/api.html) for details) and HMC for continuous parameter samples. +- `NowcastAutoGP.make_and_fit_model`: This wraps `AutoGP` functionality to make inference on the **stable** part of the time series data using sequential Monte Carlo (SMC) over sequences of data ingestion with `n_particle` SMC particles. Each particle represents a Gaussian process (GP) model for the time series, and at each data ingestion step this particle ensemble can be resampled. Within each SMC particle new possible GP kernel structures and hyperparmeter values are proposed using a specialised MCMC proposal distribution for structural choices (see [`AutoGP` overview](https://probsys.github.io/AutoGP.jl/stable/api.html) for details) and HMC for continuous parameter samples. -- `NowcastAutoGP.forecast_with_nowcasts`: This batches over proposed nowcasts for recent data, incrementally adding nowcast _possible_ data to make forecasts before removing. The forecast distribution is the batch of forecasts over nowcasts of recent data. +- `NowcastAutoGP.forecast_with_nowcasts`: This batches over proposed nowcasts for recent data, incrementally adding nowcast _possible_ data to make forecasts. The forecast distribution is the batch of forecasts over nowcasts of recent data. # Using `NowcastAutoGP` with NHSN hospitalisation data @@ -122,7 +134,6 @@ using CairoMakie using Dates, Distributions, Random using CSV, TidierData using Parameters: @unpack -using NowcastAutoGP: make_and_fit_model Random.seed!(123) CairoMakie.activate!(type = "png") @@ -389,8 +400,9 @@ We will compare four approaches: 1. Forecasting naively. 2. Removing uncertain data. -3. Forecasting with a simple nowcast without interleaved HMC. -4. Forecasting with a simple nowcast with interleaved HMC. +3. Forecasting with a simple nowcast without refreshing the particles with HMC. +4. Forecasting with a simple nowcast with HMC refreshing between nowcast draws. +5. Forecasting with a simple nowcast with HMC refreshing between forecast draws. ### Approach 1: Forecasting naively @@ -443,8 +455,7 @@ md""" We note that the problem is _mainly_ with the most recent week of hospitalisation reports. -Therefore, another strategy could be to simply redact that week but -otherwise leave out forecasting untouched. +Therefore, another strategy could be to simply redact that week. """ leave_out_last_forecasts_by_reference_date = map(fitted_models_by_report_date) do fitted_model @@ -483,10 +494,7 @@ Therefore, we fit the ratio of last weeks report to last weeks eventual reported to a LogNormal. The MLE fit for this was LogNormal(logmean = 0.1, logstd = 0.027). -In the following examples, for each vintage we first fit to all the data -except the most recent week (`n_redact = 1`). -Second, we sample a multiplier for the most recent week from the -LogNormal distribution 100 times. +We generate 100 nowcast samples for the most recent week, across all report dates, by sampling from this distribution and multiplying by the latest reported value for that week. """ n_nowcast_samples = 100 ## Simple nowcast on most recent data where we suspect significant revisions @@ -499,8 +507,9 @@ all_nowcast_samples = map(fitted_models_by_report_date) do fitted_model for _ in 1:n_nowcast_samples ] end +nothing #hide md""" -Third, we use `forecast_with_nowcasts` to batch 20 forecasts per +We can use `forecast_with_nowcasts` to batch 20 forecasts per nowcast signal on top of the inference done in step one. This is a very simple nowcasting approach! @@ -510,20 +519,18 @@ full generative model defined by e.g. [`baselinenowcast`](https://baselinenowcast.epinowcast.org/), could have been deserialized into this approach. -We compare two variants: +We compare three variants: - **Approach 3** uses the original forecasting method, drawing all forecast - samples from the GP predictive distribution without refining - hyperparameters between draws (`forecast_n_hmc=0`). -- **Approach 4** updates the GP hyperparameters with an HMC refinement step between -each _nowcast draw_ (`n_hmc=1`), which allows the GP _particles_ to adapt to the new data and increases the diversity of the forecast ensemble. -- **Approach 5** interleaves HMC parameter refinement between each _forecast + samples from the mixture distribution over the weighted particles representing an ensemble of GP models. In this variant we don't enable any HMC steps to refresh the particle ensemble after incorporating the nowcast samples. +- **Approach 4** as approach 3, but updates the GP hyperparameters with an HMC refinement step between each _nowcast draw_ (`n_hmc=1`), which allows the GP _particles_ to adapt to the new data and increases the diversity of the forecast ensemble. +- **Approach 5** as approach 3, but interleaves HMC refinement steps between each _forecast draw_ (`forecast_n_hmc=1`), which increases the diversity of the forecast ensemble by more than Approach 4, but is more computationally expensive. Note that approach 5 is a mitigation strategy for having a particle ensemble that is too small to capture the posterior distribution over GP -hyperparameters, which can lead to underdispersed forecasts. If you have a large enough particle ensemble, approach 4 will be sufficient and equivalent to approach 5. +hyperparameters, which could lead to underdispersed forecasts. If you have a large enough particle ensemble, approach 4 will be sufficient and equivalent to approach 5. -#### Approach 3: Nowcast without interleaved HMC +#### Approach 3: Nowcast without HMC steps """ nowcast_no_hmc_forecasts_by_reference_date = map( @@ -554,13 +561,13 @@ nothing #hide plot_with_forecasts( nowcast_no_hmc_forecasts_by_reference_date, - "Forecasts from Different Report Dates (Nowcast, no interleaved HMC)"; + "Forecasts from Different Report Dates (Nowcast, no HMC)"; n_ahead = 4, selected_dates = selected_dates ) md""" -#### Approach 4: Nowcast with particle refresh HMC +#### Approach 4: Nowcast with HMC step after each nowcast draw Using the same nowcasting setup, we now enable a HMC step for each particle to refresh the GP hyperparameters after incorporating each nowcast sample. Forecasts are then drawn from the refreshed particle ensemble without further HMC steps between forecast draws. @@ -568,7 +575,7 @@ This allows the GP hyperparameters to be refined for each nowcast sample, produc better-calibrated forecast ensemble. """ -nowcast_hmc_forecasts_by_reference_date = map( +nowcast_nc_hmc_forecasts_by_reference_date = map( fitted_models_by_report_date, all_nowcast_samples ) do fitted_model, nowcast_samples @unpack model_dict, forecast_dates, transformation, inv_transformation, @@ -582,7 +589,7 @@ nowcast_hmc_forecasts_by_reference_date = map( forecasts = forecast_with_nowcasts( model, nowcasts, forecast_dates, n_forecasts ÷ n_nowcast_samples; - inv_transformation, forecast_n_hmc = 1, n_hmc = 0, verbose = true + inv_transformation, n_hmc = 1, verbose = true ) iqr_forecasts = mapreduce(vcat, eachrow(forecasts)) do fc @@ -594,17 +601,15 @@ nowcast_hmc_forecasts_by_reference_date = map( end nothing #hide -# We see that this significantly improves the forecasting visually. - plot_with_forecasts( - nowcast_hmc_forecasts_by_reference_date, - "Forecasts from Different Report Dates (Nowcast, with interleaved HMC)"; + nowcast_nc_hmc_forecasts_by_reference_date, + "Forecasts from Different Report Dates (Nowcast, with HMC refresh each nowcast)"; n_ahead = 4, selected_dates = selected_dates ) md""" -#### Approach 5: Nowcast with interleaved HMC +#### Approach 5: Nowcast with HMC step after each forecast draw We now enable interleaved HMC parameter refinement between _forecast draws_. This allows the GP hyperparameters to be refined between each forecast sample, which better reflects the posterior distribution over hyperparameters than approach 4, which only refines hyperparameters between nowcast samples. @@ -612,7 +617,7 @@ This can lead to a more diverse and better-calibrated forecast ensemble, but is Note that if you have a large enough particle ensemble, approach 4 will be sufficient and equivalent to approach 5, as the particle ensemble will already capture the posterior distribution over hyperparameters well enough that further HMC steps between forecast draws won't add much diversity. """ -nowcast_hmc_forecasts_by_reference_date = map( +nowcast_dr_hmc_forecasts_by_reference_date = map( fitted_models_by_report_date, all_nowcast_samples ) do fitted_model, nowcast_samples @unpack model_dict, forecast_dates, transformation, inv_transformation, @@ -638,11 +643,9 @@ nowcast_hmc_forecasts_by_reference_date = map( end nothing #hide -# We see that this significantly improves the forecasting visually. - plot_with_forecasts( - nowcast_hmc_forecasts_by_reference_date, - "Forecasts from Different Report Dates (Nowcast, with interleaved HMC)"; + nowcast_dr_hmc_forecasts_by_reference_date, + "Forecasts from Different Report Dates (Nowcast, with HMC refresh each forecast)"; n_ahead = 4, selected_dates = selected_dates ) @@ -650,17 +653,17 @@ plot_with_forecasts( md""" ## Scoring -To evaluate the quality of our different forecasting approaches, we use -proper scoring rules. +To evaluate the quality of our different forecasting approaches, we use the +proper scoring rule **Continuous Ranked Probability Score (CRPS)**. A proper scoring rule is a function that assigns a numerical score to a probabilistic forecast, with the property that the score is optimized -(in expectation) when the forecast distribution matches the true future +(in expectation) when the forecast distribution matches the true data distribution. -The **Continuous Ranked Probability Score (CRPS)** is a proper scoring -rule that generalizes the absolute error to probabilistic forecasts. For +CRPS is a proper scoring +rule that generalizes absolute error, i.e. mean absolute error (MAE), to being a proper score for probabilistic forecasts. For a forecast distribution $F(x) = P(X \leq x)$ and observed outcome $y$, -the CRPS is defined as: +the CRPS score is defined as: ```math \text{CRPS}(X, y) = \mathbb{E}[|X - y|] - \frac{1}{2}\mathbb{E}[|X_1 - X_2|] @@ -681,7 +684,7 @@ designed for epidemiological forecasting. Let's implement a simple CRPS function and functions for getting the mean CRPS score over reporting dates and forecast horizons in order to -compare our four forecasting approaches: +compare our five forecasting approaches: """ function crps(y::Real, X::Vector{<:Real}) @@ -705,14 +708,19 @@ function score_forecast( @assert max_horizon <= length(forecast_dates) "Not enough data to score full horizon" score_dates = forecast_dates[1:max_horizon] scorable_data = @filter(latestdata, reference_date in !!score_dates) - S = mapreduce(+, scorable_data.confirm[1:max_horizon], eachrow(F.forecasts[1:max_horizon, :])) do y, + S = mapreduce( + +, scorable_data.confirm[1:max_horizon], + eachrow(F.forecasts[1:max_horizon, :]) + ) do y, X crps(data_transform(y), data_transform.(X)) end return S / max_horizon end -function score_all_forecasts(latestdata, forecasts; max_horizon = 4, data_transform = x -> x) +function score_all_forecasts( + latestdata, forecasts; max_horizon = 4, data_transform = x -> x + ) total_score = mapreduce(+, forecasts; init = 0.0) do F forecast_dates = F.dates score_forecast(latestdata, forecast_dates, F; max_horizon, data_transform) @@ -732,7 +740,8 @@ scores = map( naive_forecasts_by_reference_date, leave_out_last_forecasts_by_reference_date, nowcast_no_hmc_forecasts_by_reference_date, - nowcast_hmc_forecasts_by_reference_date, + nowcast_nc_hmc_forecasts_by_reference_date, + nowcast_dr_hmc_forecasts_by_reference_date, ] ) do F score_all_forecasts(latestdata, F[1:(end - 2)]; data_transform = log) @@ -740,27 +749,33 @@ end nothing #hide # Then we can plot these scores as score ratios relative to the best -# approach (nowcast with interleaved HMC). +# approach (nowcast with HMC step per forecast draw). ## Calculate score ratios compared to nowcast with HMC (baseline) -baseline_score = scores[4] +baseline_score = scores[end] # nowcast with HMC step per forecast draw is the last in the list score_ratios = [score / baseline_score for score in scores] ## Create bar plot comparing score ratios -method_names = ["Naive", "Leave Out\nLast", "Nowcast\n(no HMC)", "Nowcast\n(+ HMC)"] +method_names = [ + "Naive", "Leave Out\nLast", "Nowcast\n(no HMC)", + "Nowcast\n(NC HMC)", "Nowcast\n(DR HMC)", +] fig = Figure(size = (700, 400)) ax = Axis( fig[1, 1], xlabel = "Forecasting Method", - ylabel = "Score Ratio (lower is better)", - title = "Forecast Performance: Score Ratios vs Nowcast + HMC" + ylabel = "Score Ratio", + title = "Forecast Performance: Score Ratios over approaches (lower is better)" ) ## Create bar plot with different colors based on performance -bar_colors = [ratio > 1 ? :red : ratio == 1 ? :green : :blue for ratio in score_ratios] +bar_colors = [ + ratio > 1.05 ? :red : abs(ratio - 1) < 0.05 ? :green : :blue + for ratio in score_ratios +] barplot!( - ax, 1:4, score_ratios, + ax, 1:5, score_ratios, color = bar_colors, alpha = 0.7, strokewidth = 2, @@ -779,7 +794,7 @@ end hlines!(ax, [1], color = :black, linestyle = :dash, linewidth = 1) ## Set x-axis labels -ax.xticks = (1:4, method_names) +ax.xticks = (1:5, method_names) ## Add some padding to y-limits y_max = maximum(score_ratios) @@ -803,26 +818,18 @@ The score ratios clearly show progressive improvement across approaches: approach achieves a score ratio between the naive method and the nowcasting approaches, indicating improved performance over naive forecasting but still worse than nowcasting. While excluding the - most recent (and most uncertain) week removes problematic reporting - delays, it effectively increases our forecast horizon by one week, - leading to increased uncertainty in predictions. - -3. **Nowcasting without interleaved HMC** - Even without HMC refinement - between forecast draws, the simple nowcasting approach substantially - outperforms both non-nowcasting alternatives. This demonstrates the - value of explicitly modelling reporting delays rather than simply - ignoring uncertain data. - -4. **Nowcasting with interleaved HMC provides the best performance** - - By interleaving HMC parameter refinement between forecast draws, we - achieve the best score. The HMC steps allow the GP hyperparameters - to adapt between draws, producing a more diverse and - better-calibrated forecast ensemble. + most recent (and most uncertain) week removes problematic bias due to reporting + delay, it effectively increases our forecast horizon by one week, + leading to overdispersed predictions. + +3. **Batched forecasts over nowcasts performed best** - Batching over nowcast samples significantly improves forecast skill, + with the simple nowcast outperforming the naive + and leave-out approaches. This demonstrates that even a simple + nowcasting model that adjusts for expected revisions in recent data can + substantially enhance forecast performance. Increasing the diversity of the forecast ensemble with HMC steps offered marginal improvements, suggesting that while hyperparameter refinement can help, the main gains come from incorporating nowcast adjustments. These results support the core motivation for `NowcastAutoGP` - that -combining nowcasting with sophisticated time series modeling can -significantly improve forecast accuracy in real-world surveillance -scenarios where reporting delays are common. The additional improvement -from interleaved HMC demonstrates that forecast ensemble quality -benefits from hyperparameter refinement between draws. +combining nowcasting with time series modeling can +significantly improve forecast skill in real-world surveillance +scenarios where reporting delays are common. """ diff --git a/docs/vignettes/tutorial.qmd b/docs/vignettes/tutorial.qmd deleted file mode 100644 index 86795bb..0000000 --- a/docs/vignettes/tutorial.qmd +++ /dev/null @@ -1,579 +0,0 @@ ---- -title: "Getting Started with `NowcastAutoGP`" -subtitle: "Combining nowcasting and `AutoGP`" -author: "CDC Center for Forecasting and Outbreak Analytics (CFA/CDC)" -engine: julia -julia: - exeflags: ["--project=./..", "--threads=8"] -format: - commonmark: - variant: +tex_math_dollars+pipe_tables -execute: - echo: true - warning: false - output: false - cache: true - freeze: true ---- - -# Introduction - -This tutorial demonstrates how to use `NowcastAutoGP` for epidemiological forecasting - making forecasts of future disease activity despite reporting delays making the latest data unreliable. -This is a common challenge in public health surveillance where case reports arrive with delays. -In this tutorial, we will want to forecast future weekly hospital admissions with confirmed Covid diagnosis despite uncertainty around the eventual value of recent admissions. -The reason for the uncertainty is that despite _eventually_ having a record of severe cases arriving in a given week (we call this the reference date), at any given reporting week (we call this the report date) recent reference dates will not have complete data. - -## What is Nowcasting? - -The time series Gaussian process structure discovery and ensemble -forecast package [`AutoGP.jl`](https://github.com/probsys/AutoGP.jl) is -highly impressive, but doesn’t include features for ingesting the kind -of data we expect from a signal that needs significant nowcasting to -become reliable. - -`NowcastAutoGP` is an extension of `AutoGP` that uses `AutoGP`’s -incremental inference features to include nowcasting results into the -forecasting problem. - -When forecasting a time series - -$$ -X_T[1:T] = (X_{t,T})_{t=1:T} -$$ - -on report date $T$ we split between data on a backwards horizon $D$ where we -consider older data “confirmed” - -$$ -X_T[1:(T-D)] = (X_{t,T})_{t=1:(T-D)} -$$ - -that we don’t expect any further revision to; that is we expect that -$$ -X_T[1:(T-D)] = X_\infty[1:(T-D)]. -$$ - -The rest of the data we consider -“unconfirmed” $X_T[(T-D+1):T]$ where we expect potentially significant -future revisions and $X_T[(T-D+1):T] \neq X_\infty[(T-D+1):T]$. - -Suppose, we have a nowcasting model that generates $K$ samples that -forecast the *eventual* time series over the uncertain data period the -$k$th sample being - -$$ -X^{(k)}_\infty[(T-D+1):T] = (X^{(k)}_{t,\infty})_{t=(T-D+1):T}; -$$ - -for example by sampling from the posterior distribution. Then we can improve -our `AutoGP` forecasting for the *eventual* value on reference date -$f > T$ by replacing our “naive” forecast distribution: - -$$ -\mathbb{P}(X_{f,\infty} | X_T[1:(T-D)], X_T[(T-D+1):T]) -$$ - -with the nowcast estimate for the uncertain data: - -$$ -\mathbb{P}(X_{f,\infty} \mid X_T[1:(T-D)], X_\infty[(T-D+1):T]) = \frac{1}{K} \sum_k \mathbb{P}(X_{f,\infty} | X_T[1:(T-D)], X^{(k)}_\infty[(T-D+1):T]) -$$ - -This kind of forecasting is particularly convenient for `AutoGP`: we can -use the standard end-to-end inference for the confirmed data and then -batch over the sampled nowcasts using incremental inference. - -## Methodology overview - -The main functions we offer for inference and forecasting are: - -- `NowcastAutoGP.make_and_fit_model`: This wraps `AutoGP` functionality to make inference on the **stable** part of the time series data using sequential Monte Carlo (SMC) over sequences of data ingestion over `n_particle` SMC particles. Each particle represents a Gaussian process (GP) model for the time series, and at each data ingestion step this particle ensemble can be resampled. Within each SMC particle new possible GP kernel structures and hyperparmeter values are proposed using a specialised MCMC proposal distribution for structural choices (see [`AutoGP` overview](https://probsys.github.io/AutoGP.jl/stable/api.html) for details) and HMC for continuous parameter samples. - -- `NowcastAutoGP.forecast_with_nowcasts`: This batches over proposed nowcasts for recent data, incrementally adding nowcast _possible_ data to make forecasts before removing. The forecast distribution is the batch of forecasts over nowcasts of recent data. - -# Using `NowcastAutoGP` with NHSN hospitalisation data - -## Loading dependencies -```{julia} -#| echo: false -using Pkg -Pkg.resolve() -Pkg.instantiate() -Pkg.precompile() -``` - -```{julia} -using NowcastAutoGP -using CairoMakie -using Dates, Distributions, Random -using CSV, TidierData - -# Set random seed for reproducibility -Random.seed!(123) - -# Set CairoMakie output to png for quarto compat -CairoMakie.activate!(type = "png") -``` - -## Loading Surveillance Data - -We are going to demonstrate using `NowcastAutoGP` for forecasting the CDC’s National Healthcare Safety Network (NHSN) reported Covid hospitalisations. -We stored a vintaged data set locally. - -```{julia} -#| output: true -datapath = joinpath(@__DIR__(), "data", "vintaged_us_nhsn_data.csv") -nhsn_vintage_covid_data = CSV.read(datapath, DataFrame) - -# Add time_index column for plotting (1 = minimum date, 2 = next date, etc.) -unique_dates = sort(unique(nhsn_vintage_covid_data.reference_date)) -d2index(d) = (d - minimum(unique_dates)).value - -# Add time_index column using transform! - -nhsn_vintage_covid_data = @mutate(nhsn_vintage_covid_data, time_index = d2index(reference_date)) -@glimpse(nhsn_vintage_covid_data) -``` - -We see that the most recent report date, especially, is often revised upward eventually. - -```{julia} -#| output: true -unique_report_dates = sort(unique(nhsn_vintage_covid_data.report_date)) -# Select every 4th report date, but always include the latest one -selected_dates = unique_report_dates[1:4:end] -if unique_report_dates[end] ∉ selected_dates - selected_dates = vcat(selected_dates, unique_report_dates[end]) -end -n_dates = length(selected_dates) - -# Create figure -fig = Figure(size = (800, 600)) -ax = Axis(fig[1, 1], - xlabel = "Reference Date", - ylabel = "NHSN confirmed Covid hospitalisations", - title = "Reference Date vs Confirm by Report Date (Oct 2024+, all US)" -) - -# Generate colors - latest date will be black -colors = [i == n_dates ? :black : Makie.wong_colors()[mod1(i, 7)] for i in 1:n_dates] - -# Plot each selected report date using time_index -for (report_date, color) in zip(selected_dates, colors) - date_data = @chain nhsn_vintage_covid_data begin - @filter(report_date == !!report_date) - @arrange(reference_date) - end - - scatterlines!(ax, date_data.time_index, date_data.confirm, - color = color, - label = string(report_date), - markersize = 8, - linewidth = 2 - ) -end - -# Set up custom x-axis with date strings -# Get date range for the plot and corresponding indices -plot_start_date = Date(2024, 10, 1) -plot_end_date = Date(2025, 10, 1) - -# Create tick positions and labels (show every 4 weeks ≈ monthly) -tick_dates = range(plot_start_date, step = Week(4), length = 13) - -# plot_start_date:Week(4):plot_end_date -tick_indices = d2index.(tick_dates) -tick_labels = [monthname(d)[1:3] * "-" * string(d)[(end-1):end] for d in tick_dates] # Show month-day - -ax.xticks = (tick_indices, tick_labels) - -# Add legend -axislegend(ax, "report dates"; position = :rt) -xlims!(ax, d2index(plot_start_date), d2index(plot_end_date)) -ylims!(ax, 0, 2.2e4) -resize_to_layout!(fig) -fig -``` - -### Training data - -We know that some recent periods have had bad reporting for NHSN, so we exclude them from the training data. - -```{julia} -#| output: true -exclusion_periods = [(Date(2024, 5, 1), Date(2024, 6, 1)), - (Date(2024, 10, 1), Date(2024, 11, 15))] - -training_data = let - function in_any_period(d) - in_periods = [d >= period[1] && d <= period[2] for period in exclusion_periods] - return ~any(in_periods) - end - - @chain nhsn_vintage_covid_data begin - @filter(in_any_period(reference_date)) - end -end -@glimpse(training_data) -``` - -### Utility functions - -We add two utility functions to this tutorial that wrap some `NowcastAutoGP` capabilities: - -A `fit_on_data` function that does the core workflow on confirmed data: - -1. Transforms the time series into the unconstrained domain. We use an optimized Box-Cox transform to "normalize" the data. -2. Redact some of the recent data, either for poor quality or in preparation for nowcasting. -3. Passes to the `make_and_fit_model` function. - -```{julia} -function fit_on_data(report_date; - n_redact, - max_ahead = 8, - date_data = date_data, - n_particles = 24, - smc_data_proportion = 0.1, - n_mcmc = 50, n_hmc = 50) - - # Dates to forecast - forecast_dates = [maximum(date_data.reference_date) + Week(k) for k = 0:max_ahead] - - transformation, inv_transformation = get_transformations("boxcox", date_data.confirm) - data_to_fit = create_transformed_data(date_data.reference_date[1:(end-n_redact)], date_data.confirm[1:(end-n_redact)]; transformation) - model = make_and_fit_model(data_to_fit; - n_particles, - smc_data_proportion, - n_mcmc, n_hmc) - return model, forecast_dates, transformation, inv_transformation -end -``` - -We also give a handy plotting utility for plotting our results. - -```{julia} -function plot_with_forecasts(forecasts, title::String; - n_ahead, - selected_dates, - colors = colors, - covid_data = nhsn_vintage_covid_data, - plot_start_date = plot_start_date, - plot_end_date = plot_end_date, - y_lim_up = 2.2e4, - size = (1000, 700), - xticks = (tick_indices, tick_labels), - ) - - fig = Figure(size = size) - ax = Axis(fig[1, 1], - xlabel = "Date", - ylabel = "NHSN confirmed Covid hospitalizations", - title = title - ) - -# Plot forecasts - for (report_date, forecast, color) in zip(selected_dates, forecasts, colors) - - date_data = @chain nhsn_vintage_covid_data begin - @filter(report_date == !!report_date) - @arrange(reference_date) - end - - # Plot historical data as light lines - scatterlines!(ax, date_data.time_index, date_data.confirm, - color = color, - linewidth = 2, - label = "$(report_date) data" - ) - - # Extract quantiles for forecasts - q25 = forecast.iqrs[1:n_ahead, 1] # 25th percentile - median = forecast.iqrs[1:n_ahead, 2] # 50th percentile (median) - q75 = forecast.iqrs[1:n_ahead, 3] # 75th percentile - forecast_indices = d2index.(forecast.dates)[1:n_ahead] - - # Plot uncertainty band (25%-75%) - band!(ax, forecast_indices, q25, q75, - color = (color, 0.3), - ) - - # Plot median forecast - lines!(ax, forecast_indices, median, - color = color, - linewidth = 3, - linestyle = :dash, - ) - end - - # Add legend - axislegend(ax, "report dates"; position = :rt) - # Limits - xlims!(ax, d2index(plot_start_date), d2index(plot_end_date)) - ylims!(ax, 0, y_lim_up) - # Xticks - ax.xticks = xticks - # Return - resize_to_layout!(fig) - return fig -end - - -``` - -## Forecasting - -### Approach 1: Forecasting naively - -Naively, we could just use `AutoGP` on the latest reported data without considering revisions. -This will be biased because we know that typically the most recent data will be revised upwards, but represents a common error when using this data stream. - - -```{julia} -n_forecasts = 2000 -naive_forecasts_by_reference_date = map(selected_dates) do report_date - # Filter for correct report date - date_data = @chain training_data begin - @filter(report_date == !!report_date) - @arrange(reference_date) - end - model, forecast_dates, transformation, inv_transformation = fit_on_data(report_date; - n_redact = 0, - date_data = date_data, - ) - forecasts = forecast(model, forecast_dates, n_forecasts; inv_transformation) - - iqr_forecasts = mapreduce(vcat, eachrow(forecasts)) do fc - qs = quantile(fc, [0.25, 0.5, 0.75]) - qs' - end - - return (dates = forecast_dates, forecasts = forecasts, iqrs = iqr_forecasts) -end - -``` - -When we plot we see that the unrevised data consistently underestimates the eventual counts, which leads to poor forecasting. - -```{julia} -#| output: true -plot_with_forecasts(naive_forecasts_by_reference_date, "Forecasts from Different Report Dates (naive)"; - n_ahead = 4, - selected_dates = selected_dates, - ) -``` - -### Approach 2: Removing uncertain data - -We note that the problem is _mainly_ with the most recent week of hospitalisation reports. -Therefore, another strategy could be to simply redact that week but otherwise leave out forecasting untouched. - -```{julia} - -leave_out_last_forecasts_by_reference_date = map(selected_dates) do report_date - date_data = @chain training_data begin - @filter(report_date == !!report_date) - @arrange(reference_date) - end - model, forecast_dates, transformation, inv_transformation = fit_on_data(report_date; - n_redact = 1, # Ignore last week of data - date_data = date_data, - ) - forecasts = forecast(model, forecast_dates, n_forecasts; inv_transformation) - - iqr_forecasts = mapreduce(vcat, eachrow(forecasts)) do fc - qs = quantile(fc, [0.25, 0.5, 0.75]) - qs' - end - - return (dates = forecast_dates, forecasts = forecasts, iqrs = iqr_forecasts) -end -``` - -This looks improved but the forecasts have quite large prediction intervals (we have effectively bumped the forecast horizon by one week). - -```{julia} -#| output: true -plot_with_forecasts(leave_out_last_forecasts_by_reference_date, "Forecasts from Different Report Dates (Leave out last week)"; - n_ahead = 4, - selected_dates = selected_dates, - ) -``` - -### Approach 3: Forecasting with a simple nowcast - -Now lets consider a really simple nowcasting model. -Over recent vintages we notice that the most recent week gets revised significantly but other weeks are fairly stable. -Therefore, we fit the ratio of last weeks report to last weeks eventual reported to a LogNormal. The MLE fit for this was LogNormal(logmean = 0.1, logstd = 0.027). - -In the following example, for each vintage we first fit to all the data except the most recent week (`n_redact = 1`). -Second, we sample a multiplier for the most recent week from the LogNormal distribution 100 times. -Third, we use `forecast_with_nowcasts` to batch 20 forecasts per nowcast signal ontop of the inference done in step one. - -This is a very simple nowcasting approach! -Note that cached nowcasts from a more sophisticated approach, such as a full generative model defined by e.g. [`epinowcast`](https://package.epinowcast.org/) or [`baselinenowcast`](https://baselinenowcast.epinowcast.org/), could have been deserialized into this approach. - - -```{julia} -n_nowcast_samples = 100 -nowcast_forecasts_by_reference_date = map(selected_dates) do report_date - # Filter for correct report date - date_data = @chain training_data begin - @filter(report_date == !!report_date) - @arrange(reference_date) - end - # Fit on all accepted data - model, forecast_dates, transformation, inv_transformation = fit_on_data(report_date; - n_redact = 1, - date_data = date_data, - ) - # Simple nowcast on most recent data where we suspect significant revisions - nowcast_samples = [[date_data.confirm[end] * exp(0.1 + randn() * 0.027)] for _ = 1:n_nowcast_samples] - - nowcasts = create_nowcast_data(nowcast_samples, [date_data.reference_date[end]]; - transformation = transformation) - - forecasts = forecast_with_nowcasts(model, nowcasts, forecast_dates, n_forecasts ÷ n_nowcast_samples ; inv_transformation) - - iqr_forecasts = mapreduce(vcat, eachrow(forecasts)) do fc - qs = quantile(fc, [0.25, 0.5, 0.75]) - qs' - end - - return (dates = forecast_dates, forecasts = forecasts, iqrs = iqr_forecasts) -end -``` - -We see that this significantly improves the forecasting visually. - -```{julia} -#| output: true -plot_with_forecasts(nowcast_forecasts_by_reference_date, "Forecasts from Different Report Dates (Simple Nowcast)"; - n_ahead = 4, - selected_dates = selected_dates, - ) -``` - -## Scoring - -To evaluate the quality of our different forecasting approaches, we use proper scoring rules. -A proper scoring rule is a function that assigns a numerical score to a probabilistic forecast, with the property that the score is optimized (in expectation) when the forecast distribution matches the true future data distribution. - -The **Continuous Ranked Probability Score (CRPS)** is a proper scoring rule that generalizes the absolute error to probabilistic forecasts. For a forecast distribution $F(x) = P(X \leq x)$ and observed outcome $y$, the CRPS is defined as: - -$$\text{CRPS}(X, y) = \mathbb{E}[|X - y|] - \frac{1}{2}\mathbb{E}[|X_1 - X_2|]$$ - -where the first term measures the distance between the forecast ensemble and the observation, and the second term measures the spread of the forecast ensemble. - -For a forecast ensemble $X = \{X_1, X_2, \ldots, X_n\}$, this can be estimated using an empirical sum. - -**Note:** For production forecasting evaluation, we recommend using the comprehensive [`scoringutils`](https://epiforecasts.io/scoringutils/) R package, which provides robust implementations of proper scoring rules, forecast evaluation diagnostics, and visualization tools specifically designed for epidemiological forecasting. - -Let's implement a simple CRPS function and functions for getting the mean CRPS score over reporting dates and forecast horizons in order to compare our three forecasting approaches: - -```{julia} -function crps(y::Real, X::Vector{<:Real}) - n = length(X) - - # First term: E|X - y| - term1 = mean(abs.(X .- y)) - - # Second term : E|X_1 - X_2| - # Calculate all ordered pairwise differences - ordered_pairwise_diffs = [abs(X[i] - X[j]) for i in 1:n for j in (i+1):n] - term2 = mean(ordered_pairwise_diffs) #Average value is same as going over all combinations and div by n^2 due to zero diagonal and permutation symmetry - - # CRPS = E|X - y| - 0.5 * E|X_1 - X_2| - return term1 - 0.5 * term2 -end - -function score_forecast(latestdata, forecast_dates, F; max_horizon = 4, data_transform = x -> x) - @assert max_horizon <= length(forecast_dates) "Not enough data to score full horizon" - score_dates = forecast_dates[1:max_horizon] - scorable_data = @filter(latestdata, reference_date in !!score_dates) - S = mapreduce(+, scorable_data.confirm[1:max_horizon], eachrow(F.forecasts[1:max_horizon, :])) do y, X #Iterate over forecast dates - crps(data_transform(y), data_transform.(X)) - end - return S / max_horizon -end - -function score_all_forecasts(latestdata, forecasts; max_horizon = 4, data_transform = x -> x) - total_score = mapreduce(+, forecasts; init = 0.0) do F # iterate over forecasts - forecast_dates = F.dates - score_forecast(latestdata, forecast_dates, F; max_horizon, data_transform) - end - return total_score / length(forecasts) -end -``` - -We can apply the scoring to each forecasting method, leaving out the most recent forecasts (where we don't have all the data to score them). - -```{julia} -most_recent_report_date = maximum(selected_dates) -latestdata = @filter(nhsn_vintage_covid_data, report_date == !!most_recent_report_date) - -scores = map([naive_forecasts_by_reference_date, leave_out_last_forecasts_by_reference_date, nowcast_forecasts_by_reference_date]) do F - score_all_forecasts(latestdata, F[1:(end-2)]; data_transform = identity) -end - -``` - -Then we can plot these scores as score ratios relative to the simple nowcasting approach. - -```{julia} -#| output: true -#| fig-cap: Score ratios comparison (relative to simple nowcast baseline) - -# Calculate score ratios compared to simple nowcast (baseline) -baseline_score = scores[3] # Simple nowcast score -score_ratios = [score / baseline_score for score in scores] - -# Create bar plot comparing score ratios -method_names = ["Naive", "Leave Out Last", "Simple Nowcast"] - -fig = Figure(size = (600, 400)) -ax = Axis(fig[1, 1], - xlabel = "Forecasting Method", - ylabel = "Score Ratio (lower is better)", - title = "Forecast Performance: Score Ratios vs Simple Nowcast" -) - -# Create bar plot with different colors based on performance -bar_colors = [ratio > 1 ? :red : ratio == 1 ? :green : :blue for ratio in score_ratios] -barplot!(ax, 1:3, score_ratios, - color = bar_colors, - alpha = 0.7, - strokewidth = 2, - strokecolor = :black) - -# Add value labels on top of bars -for (i, ratio) in enumerate(score_ratios) - text!(ax, i, ratio + 0.02, text = string(round(ratio, digits=2)), - align = (:center, :bottom), fontsize = 12) -end - -# Add horizontal line at y=1 for reference (baseline) -hlines!(ax, [1], color = :black, linestyle = :dash, linewidth = 1) - -# Set x-axis labels -ax.xticks = (1:3, method_names) -ax.xticklabelrotation = π/4 - -# Add some padding to y-limits -y_max = maximum(score_ratios) -ylims!(ax, 0.8, y_max + 0.1) - -resize_to_layout!(fig) -fig -``` - -### Results and Interpretation - -The score ratios clearly show the improvement over this tutorial: - -1. **Naive forecasting performs worst** - The score ratio shows that naive forecasting is significantly worse than the nowcast baseline (ratio > 1), demonstrating that using the most recent reported data without any adjustment for reporting delays leads to systematically poor forecast accuracy. This approach fails to account for the known issue that recent hospitalizations are significantly under-reported. - -2. **Leaving out the last week shows intermediate performance** - This approach achieves a score ratio between the naive method and the baseline, indicating improved performance over naive forecasting but still worse than nowcasting. While excluding the most recent (and most uncertain) week removes problematic reporting delays, it effectively increases our forecast horizon by one week, leading to increased uncertainty in predictions. - -3. **Simple nowcasting provides the baseline performance** - By definition, the simple nowcasting approach has a score ratio of 1.0, serving as our reference point. Even this basic nowcasting approach (using a simple log-normal multiplier for the most recent week) substantially outperforms both alternatives, demonstrating the value of explicitly modelling reporting delays rather than simply ignoring uncertain data. - -These results support the core motivation for `NowcastAutoGP` - that combining nowcasting with sophisticated time series modeling can significantly improve forecast accuracy in real-world surveillance scenarios where reporting delays are common. The score ratios provide a clear, interpretable metric showing the improvement that nowcasting provides over simpler alternatives. diff --git a/src/forecasting.jl b/src/forecasting.jl index ecac112..3aa11a1 100644 --- a/src/forecasting.jl +++ b/src/forecasting.jl @@ -122,7 +122,7 @@ function forecast_with_nowcasts( @assert !isempty(nowcasts) "nowcasts vector must not be empty" @assert !(n_mcmc > 0 && n_hmc == 0) "If n_mcmc > 0, n_hmc must also be > 0 for MCMC refinement" @assert 0.0 <= ess_threshold <= 1.0 "ess_threshold must be between 0 and 1" - @assert forecast_n_hmc === nothing || forecast_n_hmc > 0 "forecast_n_hmc must be > 0 if specified" + @assert forecast_n_hmc === nothing||forecast_n_hmc > 0 "forecast_n_hmc must be > 0 if specified" base_model_dict = Dict(base_model) progress = Progress(length(nowcasts); desc = "Nowcast scenarios: ", enabled = verbose) From c04955c09ee38943415d096c3f3f657dfaca753d Mon Sep 17 00:00:00 2001 From: Samuel Brand <48288458+SamuelBrand1@users.noreply.github.com> Date: Thu, 19 Feb 2026 16:42:08 +0000 Subject: [PATCH 07/10] Bump test matrix version 1.10 to 1.11 This is because the over nowcasts parallelism relies on Julia 1.11+ --- .github/workflows/test.yml | 6 +++--- 1 file changed, 3 insertions(+), 3 deletions(-) diff --git a/.github/workflows/test.yml b/.github/workflows/test.yml index de48fcc..b365735 100644 --- a/.github/workflows/test.yml +++ b/.github/workflows/test.yml @@ -15,21 +15,21 @@ jobs: matrix: include: # Ubuntu x64 - - version: '1.10' + - version: '1.11' os: ubuntu-latest arch: x64 - version: '1' os: ubuntu-latest arch: x64 # Windows x64 - - version: '1.10' + - version: '1.11' os: windows-latest arch: x64 - version: '1' os: windows-latest arch: x64 # macOS (use default arch - Apple Silicon on latest runners) - - version: '1.10' + - version: '1.11' os: macOS-latest arch: aarch64 - version: '1' From 24340176ab2685f111187fe91414e17572a770d0 Mon Sep 17 00:00:00 2001 From: Samuel Brand <48288458+SamuelBrand1@users.noreply.github.com> Date: Thu, 19 Feb 2026 16:42:33 +0000 Subject: [PATCH 08/10] reformat --- docs/src/vignettes/getting-started.md | 9 ++++----- docs/vignettes/getting-started.jl | 6 +++--- 2 files changed, 7 insertions(+), 8 deletions(-) diff --git a/docs/src/vignettes/getting-started.md b/docs/src/vignettes/getting-started.md index af704a7..41f2d6a 100644 --- a/docs/src/vignettes/getting-started.md +++ b/docs/src/vignettes/getting-started.md @@ -170,9 +170,9 @@ Columns: 8 .report_date Dates.Date 2025-02-01, 2025-02-08, 2025-02-15, 2025-02-22, 20 .confirm Float64 26180.0, 26180.0, 26180.0, 26180.0, 26180.0, 26180 .max_confirm Float64 26150.0, 26150.0, 26150.0, 26150.0, 26150.0, 26150 -.lag Int64 854, 861, 868, 875, 882, 889, 896, 903, 910, 917, +.lag Int64 854, 861, 868, 875, 882, 889, 896, 903, 910, 917, .multiplier Float64 0.9988540870893812, 0.9988540870893812, 0.99885408 -.geo_value InlineStrings.String3us, us, us, us, us, us, us, us, us, us, us, +.geo_value InlineStrings.String3us, us, us, us, us, us, us, us, us, us, us, .time_index Int64 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, ```` @@ -268,9 +268,9 @@ Columns: 8 .report_date Dates.Date 2025-02-01, 2025-02-08, 2025-02-15, 2025-02-22, 20 .confirm Float64 26180.0, 26180.0, 26180.0, 26180.0, 26180.0, 26180 .max_confirm Float64 26150.0, 26150.0, 26150.0, 26150.0, 26150.0, 26150 -.lag Int64 854, 861, 868, 875, 882, 889, 896, 903, 910, 917, +.lag Int64 854, 861, 868, 875, 882, 889, 896, 903, 910, 917, .multiplier Float64 0.9988540870893812, 0.9988540870893812, 0.99885408 -.geo_value InlineStrings.String3us, us, us, us, us, us, us, us, us, us, us, +.geo_value InlineStrings.String3us, us, us, us, us, us, us, us, us, us, us, .time_index Int64 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, ```` @@ -874,4 +874,3 @@ scenarios where reporting delays are common. --- *This page was generated using [Literate.jl](https://github.com/fredrikekre/Literate.jl).* - diff --git a/docs/vignettes/getting-started.jl b/docs/vignettes/getting-started.jl index 8f5bc04..3953d8a 100644 --- a/docs/vignettes/getting-started.jl +++ b/docs/vignettes/getting-started.jl @@ -80,7 +80,7 @@ On any report date $T$ we can split the latest available data on a backwards hor \text{Confirmed by } T :~ (X_{t,T})_{t=1, \ldots, T-D} = (X_t)_{t=1, \ldots, T-D}. ``` -We don't expect any further revision to this data set. The rest of the latest available data we consider "unconfirmed" +We don't expect any further revision to this data set. The rest of the latest available data we consider "unconfirmed" ```math \text{Unconfirmed by } T :~ (X_{t,T})_{t=T-D+1, \ldots, T} @@ -98,7 +98,7 @@ for example by sampling from the posterior distribution of the nowcast model. We can use the nowcast samples to "repair" the data for the uncertain period and then make forecasts conditioning on the repaired data, which should lead to better forecasts than conditioning on the latest reported data alone. ### Batching over nowcast samples for forecasting - + A "naive" forecast distribution made on report date $T$ which treats the latest data as ground truth: ```math @@ -826,7 +826,7 @@ The score ratios clearly show progressive improvement across approaches: with the simple nowcast outperforming the naive and leave-out approaches. This demonstrates that even a simple nowcasting model that adjusts for expected revisions in recent data can - substantially enhance forecast performance. Increasing the diversity of the forecast ensemble with HMC steps offered marginal improvements, suggesting that while hyperparameter refinement can help, the main gains come from incorporating nowcast adjustments. + substantially enhance forecast performance. Increasing the diversity of the forecast ensemble with HMC steps offered marginal improvements, suggesting that while hyperparameter refinement can help, the main gains come from incorporating nowcast adjustments. These results support the core motivation for `NowcastAutoGP` - that combining nowcasting with time series modeling can From a8dc0afef21e64285c34a339c46e55e8e50404ff Mon Sep 17 00:00:00 2001 From: Samuel Brand <48288458+SamuelBrand1@users.noreply.github.com> Date: Thu, 19 Feb 2026 17:14:30 +0000 Subject: [PATCH 09/10] fix tests --- test/test_forecasting.jl | 22 +--------------------- 1 file changed, 1 insertion(+), 21 deletions(-) diff --git a/test/test_forecasting.jl b/test/test_forecasting.jl index 88e4546..b4f3153 100644 --- a/test/test_forecasting.jl +++ b/test/test_forecasting.jl @@ -92,7 +92,7 @@ end # Test with single draw and HMC steps forecasts_single = forecast(model, short_dates, 1; forecast_n_hmc = 1) - @test size(forecasts_single) == (1,) + @test size(forecasts_single) == (1, 1) # Test with two draws and HMC steps forecasts_single_hmc = forecast(model, short_dates, 2; forecast_n_hmc = 1) @@ -114,23 +114,3 @@ end @test size(forecasts1) == size(forecasts2) @test size(forecasts1) == (2, 5) end - -@testitem "forecast Verbose MVN" setup = [ForecastingData] begin - # Test verbose=true with forecast_n_hmc=nothing logs an info message - forecasts = forecast(model, forecast_dates, 5; verbose = true) - @test size(forecasts) == (length(forecast_dates), 5) - - # Test verbose=false (default) produces correct results - forecasts_quiet = forecast(model, forecast_dates, 5; verbose = false) - @test size(forecasts_quiet) == (length(forecast_dates), 5) -end - -@testitem "forecast Verbose HMC" setup = [ForecastingData] begin - # Test verbose=true with forecast_n_hmc shows progress meter - forecasts = forecast(model, short_dates, 2; forecast_n_hmc = 1, verbose = true) - @test size(forecasts) == (1, 2) - - # Test verbose=false (default) with forecast_n_hmc - forecasts_quiet = forecast(model, short_dates, 2; forecast_n_hmc = 1, verbose = false) - @test size(forecasts_quiet) == (1, 2) -end From cc0e4a07dc7ae0403b084ae4ca5e06c011b7d044 Mon Sep 17 00:00:00 2001 From: Samuel Brand <48288458+SamuelBrand1@users.noreply.github.com> Date: Fri, 20 Feb 2026 13:51:13 +0000 Subject: [PATCH 10/10] Use single-threaded BLAS for forecasting --- src/forecasting.jl | 7 ++++--- 1 file changed, 4 insertions(+), 3 deletions(-) diff --git a/src/forecasting.jl b/src/forecasting.jl index 3aa11a1..be64a2f 100644 --- a/src/forecasting.jl +++ b/src/forecasting.jl @@ -22,7 +22,6 @@ Generate forecast samples from a fitted `AutoGP` model. # Keyword arguments - `inv_transformation`: Function applied elementwise to map forecasts back to the original scale (default: identity). - `forecast_n_hmc`: If `nothing`, draw from the current model state. If an `Int`, run that many HMC parameter steps before each draw (default: `nothing`). -- `verbose`: If `true`, display progress information during forecasting (default: `false`). # Returns - A matrix of samples with size `(length(forecast_dates), forecast_draws)`. @@ -43,8 +42,10 @@ function _forecast( ) # Convert forecast_dates to vector if it's a range dates_vector = collect(forecast_dates) - dist = AutoGP.predict_mvn(model, dates_vector) - _forecasts = rand(dist, forecast_draws) + _forecasts = _with_single_blas() do + dist = AutoGP.predict_mvn(model, dates_vector) + rand(dist, forecast_draws) + end # Apply inverse transformation to the forecasts forecasts = inv_transformation.(_forecasts) return forecasts