From c3658722a193afbe643a0317859d1c0c25c78d2b Mon Sep 17 00:00:00 2001 From: Olivier Teboul Date: Thu, 5 Nov 2020 03:54:33 -0800 Subject: [PATCH] open sourcing as single repo PiperOrigin-RevId: 340822510 --- .travis.yml | 1 - grouptesting/README.md | 93 +----- grouptesting/bayes.py | 116 ------- grouptesting/colab/__init__.py | 15 - grouptesting/colab/interactive_loop.py | 103 ------ grouptesting/colab/spreadsheet.py | 272 --------------- grouptesting/configs/toy.gin | 108 ------ grouptesting/group_selectors/bayes_oed.py | 287 ---------------- .../group_selectors/group_selector.py | 38 --- .../group_selectors/group_selectors_test.py | 76 ----- .../group_selectors/informative_dorfman.py | 128 ------- .../group_selectors/mutual_information.py | 270 --------------- grouptesting/group_selectors/origami.py | 298 ----------------- grouptesting/group_selectors/random.py | 238 ------------- grouptesting/group_selectors/split.py | 126 ------- grouptesting/images/demo_colab.png | Bin 346976 -> 0 bytes .../images/schema_github_grouptesting1.png | Bin 227039 -> 0 bytes grouptesting/metrics.py | 192 ----------- grouptesting/policy.py | 118 ------- grouptesting/policy_test.py | 59 ---- grouptesting/requirements.txt | 7 - grouptesting/run.sh | 23 -- grouptesting/run_experiment.py | 52 --- grouptesting/samplers/exhaustive.py | 62 ---- grouptesting/samplers/kernels.py | 313 ------------------ .../samplers/loopy_belief_propagation.py | 188 ----------- grouptesting/samplers/sampler.py | 46 --- grouptesting/samplers/samplers_test.py | 89 ----- .../samplers/sequential_monte_carlo.py | 237 ------------- grouptesting/samplers/temperature.py | 59 ---- grouptesting/simulator.py | 313 ------------------ grouptesting/simulator_test.py | 68 ---- grouptesting/state.py | 259 --------------- grouptesting/state_test.py | 72 ---- grouptesting/utils.py | 62 ---- grouptesting/utils_test.py | 52 --- grouptesting/wet_lab.py | 142 -------- grouptesting/wet_lab_test.py | 70 ---- 38 files changed, 1 insertion(+), 4651 deletions(-) delete mode 100644 grouptesting/bayes.py delete mode 100644 grouptesting/colab/__init__.py delete mode 100644 grouptesting/colab/interactive_loop.py delete mode 100644 grouptesting/colab/spreadsheet.py delete mode 100644 grouptesting/configs/toy.gin delete mode 100644 grouptesting/group_selectors/bayes_oed.py delete mode 100644 grouptesting/group_selectors/group_selector.py delete mode 100644 grouptesting/group_selectors/group_selectors_test.py delete mode 100644 grouptesting/group_selectors/informative_dorfman.py delete mode 100644 grouptesting/group_selectors/mutual_information.py delete mode 100644 grouptesting/group_selectors/origami.py delete mode 100644 grouptesting/group_selectors/random.py delete mode 100644 grouptesting/group_selectors/split.py delete mode 100644 grouptesting/images/demo_colab.png delete mode 100644 grouptesting/images/schema_github_grouptesting1.png delete mode 100644 grouptesting/metrics.py delete mode 100644 grouptesting/policy.py delete mode 100644 grouptesting/policy_test.py delete mode 100644 grouptesting/requirements.txt delete mode 100755 grouptesting/run.sh delete mode 100644 grouptesting/run_experiment.py delete mode 100644 grouptesting/samplers/exhaustive.py delete mode 100644 grouptesting/samplers/kernels.py delete mode 100644 grouptesting/samplers/loopy_belief_propagation.py delete mode 100644 grouptesting/samplers/sampler.py delete mode 100644 grouptesting/samplers/samplers_test.py delete mode 100644 grouptesting/samplers/sequential_monte_carlo.py delete mode 100644 grouptesting/samplers/temperature.py delete mode 100644 grouptesting/simulator.py delete mode 100644 grouptesting/simulator_test.py delete mode 100644 grouptesting/state.py delete mode 100644 grouptesting/state_test.py delete mode 100644 grouptesting/utils.py delete mode 100644 grouptesting/utils_test.py delete mode 100644 grouptesting/wet_lab.py delete mode 100644 grouptesting/wet_lab_test.py diff --git a/.travis.yml b/.travis.yml index b0bffd1003a..4bd126b37e0 100644 --- a/.travis.yml +++ b/.travis.yml @@ -46,7 +46,6 @@ env: - PROJECT="graph_embedding/dmon" - PROJECT="graph_embedding/slaq" - PROJECT="graph_embedding/watch_your_step" - - PROJECT="grouptesting" - PROJECT="hmc_swindles" - PROJECT="igt_optimizer" - PROJECT="jax_dft" diff --git a/grouptesting/README.md b/grouptesting/README.md index d465438a5ac..32ac55b452f 100644 --- a/grouptesting/README.md +++ b/grouptesting/README.md @@ -1,94 +1,3 @@ # Group Testing: screening more individuals with less tests -This folder contains the implementation of our [recent work on group testing](https://arxiv.org/abs/2004.12508), as described in our [blog post](https://ai.googleblog.com/2020/07/exploring-faster-screening-with-fewer.html). - -In this work we revisit the [group testing problem](https://en.wikipedia.org/wiki/Group_testing), in which one can take advantage of testing pooled samples to accelerate the detection of infectious individuals in a large population. It is well known that the noisiness of tests (*i.e.* when there is a non-zero probability of seeing the test return as negative when the tested person is in fact infected, or vice-versa) can significantly degrade the performance of [classic Dorfman splitting](https://en.wikipedia.org/wiki/Group_testing#Invention_and_initial_progress) and more generally of [combinatorial approaches](https://en.wikipedia.org/wiki/Group_testing#Combinatorial_group_testing). We consider here a new strategy that can be used in such a noisy regime by relying instead on a purely Bayesian approach. - -*Our first contribution* comes from the use of modern statistical techniques ([sequential Monte carlo samplers](https://en.wikipedia.org/wiki/Particle_filter), SMCS) to provide approximations to the posterior distribution of infection states given prior beliefs and tests observed so far. Note that this SMCS can be used to *decode test results for any group testing strategy*, not necessarily ours. - -*Our second contribution* relies on the definition of criteria to select a next wave of tests, by using that posterior approximation to define a [Bayesian optimal experimental design](https://en.wikipedia.org/wiki/Bayesian_experimental_design) problem. Our algorithms select a new wave of groups by maximizing the expected (w.r.t. the posterior approximation) utility of these groups. We consider the expected neg-entropy of the posterior conditioned on the tests of these new groups (this is equivalent to maximizing the [mutual information](https://en.wikipedia.org/wiki/Mutual_information) between the new tests' results random vector and that of the posterior), as well as the average [AUC](https://en.wikipedia.org/wiki/Receiver_operating_characteristic#Area_under_the_curve) of all the possible marginal distributions that could be obtained by carrying out these tests, compared with all possible infection state vectors recorded in the posterior. Maximizing these two criteria over a binary space of pooling matrices is a difficult optimization problem that we tackle using a forward-backward [greedy algorithm](https://en.wikipedia.org/wiki/Greedy_algorithm). These two strategies are benchmarked against other baselines in our paper in a wide variety of settings, including misspecified setups, in which the algorithm operates with parameters (infection priors, sensitivity, specificity) that do not match those of the simulator. - -## Overall description of source code - -Our code base implements the following classes: - -- A `simulator` object that can evaluate, through one or multiple runs, the performance of a group testing algorithm given a testing environment (size of population to be screened, prior of infection within that population, sensitivity/specificity of tests, maximum number of tests that can be run simultaneously, etc...). - -- A `state` object that stores all relevant information observed so far in a simulation, and coordinates calls between testing actions carried out by a `wet_lab`, posterior sampling as produced by a `sampler` and the selection of new groups to test, as carried out sequentially by a `policy`: - - a `wet_lab` is tasked with computing the testing results from pooled samples. This can be either simulated (in which case the `wet_lab` also sets arbitrarily the ground truth of who is infected or not, drawn using the `base_infection_rate` prior and stored in the `diseased` variable) or describes the entry point for a *real* wet lab that will produce actual test results using pooled samples and a testing machine. - - a `sampler` object is loosely defined as an algorithm able to produce relevant information on the posterior probability distribution of the infected binary status vector of all screened patients, using both prior and past test results. We implemented [loopy belief propagation](https://en.wikipedia.org/wiki/Belief_propagation) (LBP) samplers that can compute the marginal distribution of infection given previous tests results, or, alternatively [SMC samplers](https://www.stats.ox.ac.uk/~doucet/delmoral_doucet_jasra_sequentialmontecarlosamplersJRSSB.pdf) that produce weighted samples (binary vectors) that aim to approximate the posterior distribution. - - a `policy` object which is itself a sequence of `group_selector` objects. At each stage, the `policy` picks the `group_selector` corresponding to that stage and uses it to compute, using possibly past results and/or outputs from the `sampler`, the next wave of groups that should be tested. - -- Because our contributions build on Bayesian analysis, we provide functions in `bayes` to evaluate prior and posterior probabilities. `metrics` describes which (and how) results from each simulation should be saved on file. `utils` contains miscellaneous functions. - -## Everything in a drawing - -The overall flow of information between all components, coordinated in the `simulator` object, is described in the figure below. - -![Overall flow](./images/schema_github_grouptesting1.png) - -*The starting point of group testing is defined by a population to screen (on top). That population provides two pieces of information: samples and prior beliefs on infection rates. From there, a `sampler` object will draw thousands of hypotheses that build on the prior and tests carried out so far (if any). This will be used at any time to provide an expected infection rate for each individual, along with the input required by a `group_selector` object to propose new groups. These groups are then passed on to a `wet_lab`, which tasked with producing test results. The loop is then closed when the `wet_lab` communicates these results to the `sampler` to trigger the drawing of updated hypotheses.* - - -## Using our code - -You can play with our code in three different ways. - -### Colab/Spreadsheet - -You can give the algorithm a try by following step-by-step the instructions of the colab available [here](https://colab.research.google.com/drive/14rQO9mDRvuyj89pgcUMCFk6LXHq7-avR?usp=sharing). - -The colab will ask to be given access to your Google Drive, to store results in a spreadsheet. That spreadsheet will store all of the parameters of your experiment, as well as the group instructions that will be filled iteratively by the algorithm. You will then need to fill the test results as you carry them out, in order to recover new groups and an infection prediction. - -![colab_interface](./images/demo_colab.png) - - -### Line Interactive -The line command mode gives you more freedom in setting parameters. The experimental setup should go in a `gin` config file (see `configs/toy.gin` for a blueprint). This file defines hyperparemeters, described below in step 1. - -In this mode, the user will receive groups of patients to be pooled and tested, and will be asked to list (using the command line) those that returned positive. Once the user submits these results, the selected policy will compute and return new groups to be tested, as well as the marginal infection probability of each individual, that is to say the current belief that each patient is infectious, based on the initial prior and all test results seen so far. - -To run this mode: -``` -python3 -m run_experiment --gin_config=configs/toy.gin --interactive_mode -``` - -The detailed protocol sequence is as follows: - -#### 1. Acquisition of patients’ samples (user → algorithm) - -The user can provide in a `.gin` file parameters for pretty much all aspects of the experiment. We describe some of these settings in the `toy.gin` file. Two crucial parameters are: - -- `WetLab.num_patients`: Number *n* of patients in the batch to be tested. -- `Simulator.num_tests_per_cycle`: number of tests available to investigate infection in that batch at every cycle. - -#### 2. Algorithm selects groups, sends them to user (algorithm → user) - -In this phase the algorithm collects the most recent wave of group tests (if any), samples from posterior distribution if needed, and proposes new groups to tests. In addition, the algorithm also provides an estimate of the probability of infection of each patient. Namely, the algorithm will produce two outputs that the user can use: - -- `groups_to_test`: a binary matrix with `num_test_per_cycle` lines (describing as many groups) and `num_patients` columns. Each line describes what set of individual samples should be pooled together to form a group. -- `marginal_distribution`: a vector of `num_patients` values between 0 and 1 summarizing the current infection probability for each patient. - -#### 3. User stops the interaction, or tests instructed groups and sends back test results (user → algorithm) - -At this stage, the wetlab has two options: - -- The user wishes to stop the experiment and uses `marginal_distribution` vector to decide who should be flagged as positive or not, and exit the process. That `marginal_distribution` is currently computed using LBP if it has converged, or by running an SMC otherwise (see p.7 of our [paper](https://arxiv.org/abs/2004.12508) for a discussion on decoding test results). - -- Using the instructions described in `groups_to_test`, the user continues the experiment and tests these groups, and sends results back to the algorithm. The following information must be provided: --- `test_results` : indices of the latest wave of instructed groups that have returned positive. -Once these results are sent via command line, we go back to step 2 in which the algorithm will propose new groups using that extra information. - - -### Simulator - -The third mode is designed to assess the performance of a policy (here understood as sequential experimental design algorithm) in a completely simulated environment. This mode is of interest to researchers who would like to define new policies, or benchmark existing ones. This is the one we used to produce results in the paper. - -At each simulation, the infection status of patients is re-sampled according to the prior provided to the `wet_lab`. From then on, the user's tests will be simulated with the sensitivity and specificity parameters given to the `wet_lab`. These results are communicated sequentially to the `policy`, which uses them to `sample` and next select groups. - -When enough simulations are run, the policy's average precision-recall or ROC characteristics can be evaluated. - -To run this second mode and assess the performance of a group testing strategy: -``` -python3 -m run_experiment --gin_config=configs/toy.gin --nointeractive_mode -``` +This project has been moved to a [new repo](https://github.com/google-research/group_testing/) that contains the implementation of our [recent work on group testing](https://arxiv.org/abs/2004.12508), as described in our [blog post](https://ai.googleblog.com/2020/07/exploring-faster-screening-with-fewer.html). diff --git a/grouptesting/bayes.py b/grouptesting/bayes.py deleted file mode 100644 index 4e2b3633c63..00000000000 --- a/grouptesting/bayes.py +++ /dev/null @@ -1,116 +0,0 @@ -# coding=utf-8 -# Copyright 2020 The Google Research Authors. -# -# Licensed under the Apache License, Version 2.0 (the "License"); -# you may not use this file except in compliance with the License. -# You may obtain a copy of the License at -# -# http://www.apache.org/licenses/LICENSE-2.0 -# -# Unless required by applicable law or agreed to in writing, software -# distributed under the License is distributed on an "AS IS" BASIS, -# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. -# See the License for the specific language governing permissions and -# limitations under the License. - -# Lint as: python3 -"""Computes the prior, posterior, and likelihood.""" -from typing import Dict - -import jax -import jax.numpy as np -from jax.scipy import special -from grouptesting import utils - - -@jax.jit -def log_likelihood(particles, test_results, - groups, log_specificity, - log_1msensitivity): - """Computes individual (parallel) log_likelihood of k_groups test results. - - Args: - particles: np.ndarray[n_particles, n_patients]. Each one is a possible - scenario of a disease status of n patients. - test_results: np.ndarray[n_groups] the results given by the wet lab for - each of the tested groups. - groups: np.ndarray[num_groups, num_patients] the definition of the - group that were tested. - log_specificity: np.ndarray. Depending on the configuration, it can be an - array of size one or more if we have different sensitivities per group - size. - log_1msensitivity: np.ndarray. Depending on the configuration, it can be an - array of size one or more if we have different specificities per group - size. - - Returns: - The log likelihood of the particles given the test results. - """ - positive_in_groups = np.dot(groups, np.transpose(particles)) > 0 - group_sizes = np.sum(groups, axis=1) - log_specificity = utils.select_from_sizes(log_specificity, group_sizes) - log_1msensitivity = utils.select_from_sizes(log_1msensitivity, group_sizes) - logit_specificity = special.logit(np.exp(log_specificity)) - logit_sensitivity = -special.logit(np.exp(log_1msensitivity)) - gamma = log_1msensitivity - log_specificity - add_logits = logit_specificity + logit_sensitivity - ll = np.sum( - positive_in_groups * (gamma + test_results * add_logits)[:, np.newaxis], - axis=0) - return ll + np.sum(log_specificity - test_results * logit_specificity) - - -@jax.jit -def log_prior(particles, - base_infection_rate): - """Computes log of prior probability of state using infection rate.""" - # here base_infection can be either a single number per patient or an array - if np.size(base_infection_rate) == 1: # only one rate - return (np.sum(particles, axis=-1) * special.logit(base_infection_rate) + - particles.shape[0] * np.log(1 - base_infection_rate)) - elif base_infection_rate.shape[0] == particles.shape[-1]: # prior per patient - return np.sum( - particles * special.logit(base_infection_rate)[np.newaxis, :] + - np.log(1 - base_infection_rate)[np.newaxis, :], - axis=-1) - else: - raise ValueError("Vector of prior probabilities is not of correct size") - - -@jax.jit -def log_probability(particles, - test_results, - groups, - log_prior_specificity, - log_prior_1msensitivity, - prior_infection_rate): - """Given past tests and prior, outputs unnormalized log-probabilities. - - Args: - particles: np.ndarray, computing tempered log_posterior for each of these. - test_results: np.ndarray, probability depends on recorded test results - groups: np.ndarray ... tests above defined using these groups. - log_prior_specificity: np.ndarray, specificity expected from test device - log_prior_1msensitivity: np.ndarray, 1-sensitivity expected from test device - prior_infection_rate: np.ndarray, prior on infection. - Returns: - a vector of log probabilities - """ - log_prob = np.zeros((particles.shape[0],)) - if test_results is not None: - # if sampling from scratch, include prior and rescale temperature. - log_prob += log_likelihood(particles, test_results, groups, - log_prior_specificity, log_prior_1msensitivity) - if prior_infection_rate is not None: - log_prob += log_prior(particles, prior_infection_rate) - return log_prob - - -def tempered_logpos_logbase(particles, - log_posterior_params, - log_base_measure_params, - temperature): - """Computes a tempered log posterior and adds a base measure.""" - lp_p = log_probability(particles, **log_posterior_params) - lp_b = log_probability(particles, **log_base_measure_params) - return temperature * lp_p + lp_b diff --git a/grouptesting/colab/__init__.py b/grouptesting/colab/__init__.py deleted file mode 100644 index 9a198046280..00000000000 --- a/grouptesting/colab/__init__.py +++ /dev/null @@ -1,15 +0,0 @@ -# coding=utf-8 -# Copyright 2020 The Google Research Authors. -# -# Licensed under the Apache License, Version 2.0 (the "License"); -# you may not use this file except in compliance with the License. -# You may obtain a copy of the License at -# -# http://www.apache.org/licenses/LICENSE-2.0 -# -# Unless required by applicable law or agreed to in writing, software -# distributed under the License is distributed on an "AS IS" BASIS, -# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. -# See the License for the specific language governing permissions and -# limitations under the License. - diff --git a/grouptesting/colab/interactive_loop.py b/grouptesting/colab/interactive_loop.py deleted file mode 100644 index b60121d4abd..00000000000 --- a/grouptesting/colab/interactive_loop.py +++ /dev/null @@ -1,103 +0,0 @@ -# coding=utf-8 -# Copyright 2020 The Google Research Authors. -# -# Licensed under the Apache License, Version 2.0 (the "License"); -# you may not use this file except in compliance with the License. -# You may obtain a copy of the License at -# -# http://www.apache.org/licenses/LICENSE-2.0 -# -# Unless required by applicable law or agreed to in writing, software -# distributed under the License is distributed on an "AS IS" BASIS, -# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. -# See the License for the specific language governing permissions and -# limitations under the License. - -# Lint as: python3 -"""An interactive loop to go back and forth from colab to spreadsheet.""" - -import time - -import jax -import numpy as np - -from grouptesting import policy as group_policy -from grouptesting import simulator -from grouptesting import wet_lab -from grouptesting.samplers import sequential_monte_carlo as smc - - -class InteractiveSimulator(simulator.Simulator): - """Interactive group testing loop, reading an write into a spreadsheet.""" - - def __init__(self, sheet): - wetlab = wet_lab.WetLab(num_patients=sheet.num_patients) - sampler = smc.SmcSampler(num_particles=sheet.num_patients * 150, - resample_at_each_iteration=True) - - policy_name = sheet.params['policy'] - if policy_name == 'G-MIMAX': - policy = group_policy.MimaxPolicy(forward_iterations=2, - backward_iterations=1) - elif policy_name == 'InformativeDorfman': - policy = group_policy.InformativeDorfmanPolicy(cut_off_high=0.95, - cut_off_low=0.001) - elif policy_name == 'Random': - policy = group_policy.MezardPolicy() - else: - raise ValueError(f'Unsupported policy {policy_name}') - - super().__init__( - wetlab=wetlab, - sampler=sampler, - policy=policy, - num_simulations=1, - num_tests_per_cycle=sheet.params['tests per cycle'], - max_test_cycles=sheet.params['cycles'], - max_group_size=sheet.params['max group size'], - prior_specificity=sheet.params['specificity'], - prior_sensitivity=sheet.params['sensitivity'], - prior_infection_rate=sheet.priors) - self.sheet = sheet - - def reset(self, rng): - """Maybe reset simulator's state based on the current spreadsheet.""" - rngs = jax.random.split(rng, 2) - super().reset(rngs[0]) - groups = self.sheet.read_groups() - if np.size(groups): - self.state.add_past_groups(groups) - tests_results = self.sheet.read_results() - self.process_tests_results(rngs[1], tests_results) - self.sheet.write_marginals(self.marginal) - - def run(self, rngkey=None): - """Starts an interaction loop.""" - rngkey = int(time.time()) if rngkey is None else rngkey - rng = jax.random.PRNGKey(rngkey) - - rng, rng_reset = jax.random.split(rng, 2) - self.reset(rng_reset) - - while not self.is_over: - rng, *rngs = jax.random.split(rng, 3) - print(f'---> Cycle {self.state.curr_cycle}') - - groups = self.get_new_groups(rngs[0]) - self.sheet.write_groups(groups) - - tests_results = None - while tests_results is None: - input(f'Please enters group results in\n{self.sheet.groups_url}\n') - try: - tests_results = self.sheet.read_results(groups.shape[0]) - except ValueError: - print('Error: some group are lacking test results.') - tests_results = None - continue - - self.process_tests_results(rngs[1], tests_results) - self.sheet.write_marginals(self.marginal) - - self._on_iteration_end(0, self.state.curr_cycle, groups) - self.state.curr_cycle += 1 diff --git a/grouptesting/colab/spreadsheet.py b/grouptesting/colab/spreadsheet.py deleted file mode 100644 index ded16dd19df..00000000000 --- a/grouptesting/colab/spreadsheet.py +++ /dev/null @@ -1,272 +0,0 @@ -# coding=utf-8 -# Copyright 2020 The Google Research Authors. -# -# Licensed under the Apache License, Version 2.0 (the "License"); -# you may not use this file except in compliance with the License. -# You may obtain a copy of the License at -# -# http://www.apache.org/licenses/LICENSE-2.0 -# -# Unless required by applicable law or agreed to in writing, software -# distributed under the License is distributed on an "AS IS" BASIS, -# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. -# See the License for the specific language governing permissions and -# limitations under the License. - -# Lint as: python3 -"""Connect to and interact with google spreadsheet.""" - -import datetime -import re -from typing import Optional - -import numpy as np - - -def index_to_column(idx): - """Turns an index into a letter representing a spreadsheet column.""" - letter = chr(65 + idx % 26) - q = idx // 26 - if q == 0: - return letter - else: - return index_to_column(q-1) + letter - - -def create_template_sheet(gc, name, params, infection_rate = 0.05): - """Creates an empty sheet made of 3 worksheet: params, prior and groups.""" - sheet = gc.create(name) - - # Params - worksheet = sheet.sheet1 - worksheet.resize(6, 2) - num_params = len(params) - cells = worksheet.range(f'A1:B{num_params}') - list_params = list(params.items()) - for cell in cells: - cell.value = list_params[cell.row - 1][cell.col - 1] - worksheet.update_cells(cells) - - # Priors - num_patients = params['patients'] - sheet.add_worksheet('priors', num_patients + 1, 2) - worksheet = sheet.get_worksheet(1) - cells = worksheet.range(f'A1:B{num_patients+1}') - for cell in cells: - if cell.row == 1: - cell.value = '' if cell.col == 1 else 'Prior' - else: - default_value = infection_rate - cell.value = f'Patient {cell.row}' if (cell.col == 1) else default_value - worksheet.update_cells(cells) - - offset = 2 - sheet.add_worksheet('groups', num_patients + offset, 1) - worksheet = sheet.get_worksheet(2) - cells = worksheet.range(f'A2:A{num_patients + offset}') - for cell in cells: - if cell.row > offset: - cell.value = f'Patient {cell.row - offset}' - else: - cell.value = 'Result' - worksheet.update_cells(cells) - worksheet.freeze(rows=offset, cols=0) - - -def extract(worksheet, - start_row, - start_col, - end_row, - end_col): - """Extracts a range given as zero-based indices from a spreadsheet.""" - start_char = index_to_column(start_col) - end_char = index_to_column(end_col) - cell_range = f'{start_char}{start_row}:{end_char}{end_row}' - - result = np.zeros((end_row - start_row + 1, end_col - start_col + 1)) - cells = worksheet.range(cell_range) - for cell in cells: - col = cell.col - start_col -1 - row = cell.row - start_row - result[row, col] = cell.value - return np.array(result) - - -class GroupTestingSheet: - """Create, read and write into a spreadsheet.""" - - def __init__(self, - google_credentials, - sheet_id = None, - copy_from_id = None): - """Initialization. - - Args: - google_credentials: a google credentials object returned by - gspread.authorize to manipulate spreadsheets. - sheet_id: an optional str representing an existing spreadsheet to be used. - copy_from_id: an optional str representing a template spreadsheet to be - copied. - """ - now = datetime.datetime.now().strftime('%Y_%m_%d_%H:%M') - name = f'Group Testing - {now}' - # Initialize with some default values. - self.params = dict( - patients=10, - sensitivity=0.97, - specificity=0.95, - tests_per_cycle=8, - cycles=10, - max_group_size=6, - policy='G-MIMAX') - self._gc = google_credentials - if sheet_id is not None: - self.sheet = self._gc.open_by_key(sheet_id) - elif copy_from_id is not None: - self.sheet = self._gc.copy(file_id=copy_from_id, title=name) - else: - raise ValueError('One of `sheet_id` or `copy_from_id` should be not None') - self.load() - - @property - def num_patients(self): - return self.params['patients'] - - def load(self): - """Reads the spreadsheet, loads and adapt the data.""" - worksheet = self.sheet.sheet1 - num_params = worksheet.row_count - cells = worksheet.range(f'A1:B{num_params}') - params = [[None, None] for _ in range(num_params)] - for cell in cells: - if cell.col == 1: - value = cell.value - else: - if re.match(r'[0-9]+\.?[0-9]*$', cell.value) is not None: - cast = float if '.' in cell.value else int - value = cast(cell.value) - else: - value = cell.value - params[cell.row - 1][cell.col - 1] = value - self.params.update(params) - - # Adapts the other two worksheets - offsets = [1, 2] - num_patients = self.num_patients - for wid, offset in zip([1, 2], offsets): - worksheet = self.sheet.get_worksheet(wid) - num_cols = max(2, worksheet.col_count) - worksheet.resize(num_patients + offset, num_cols) - worksheet = self.sheet.get_worksheet(0) - worksheet.update_acell('B1', num_patients) - - @property - def priors(self): - """Reads the array of prior per patient from the spreadsheet.""" - def parse(value): - return float(value.rstrip('%')) / 100.0 - - wks = self.sheet.get_worksheet(1) - max_row = self.num_patients + 1 - return np.array([parse(cell.value) for cell in wks.range(f'B2:B{max_row}')]) - - def write_groups(self, groups): - """Adds the groups boolean array to the proper worksheet.""" - worksheet = self.sheet.get_worksheet(2) - initial_num_groups = worksheet.col_count - 1 - first_time = initial_num_groups == 1 - - num_groups, num_patients = groups.shape - start = worksheet.col_count - end = start + num_groups - worksheet.add_cols(num_groups) - groups = groups.astype(np.int32).tolist() - start_char, end_char = index_to_column(start), index_to_column(end - 1) - - # Add header - cells = worksheet.range(f'{start_char}1:{end_char}1') - for cell in cells: - cell.value = f'g{cell.col - 1 - int(first_time)}' - worksheet.update_cells(cells) - - # Add groups - offset = 2 - cell_range = f'{start_char}{1 + offset}:{end_char}{num_patients + offset}' - cells = worksheet.range(cell_range) - for cell in cells: - cell.value = groups[cell.col - start - 1][cell.row - offset - 1] - worksheet.update_cells(cells) - - if first_time == 1: - worksheet.delete_columns(2) - - def write_marginals(self, marginals): - """Writes the marginal in the spreadsheet, next to the priors.""" - worksheet = self.sheet.get_worksheet(1) - if worksheet.col_count < 3: - worksheet.add_cols(1) - - num_patients = self.params['patients'] - cell_range = f'C1:C{num_patients + 1}' - cells = worksheet.range(cell_range) - marginals = marginals.tolist() - for cell in cells: - cell.value = marginals[cell.row - 2] if cell.row > 1 else 'Marginal' - worksheet.update_cells(cells) - - def _read_bools(self, - start_row, - end_row = None, - last_cols = None): - """Returns a np.ndarray of boolean extracted from the groups spreadsheet. - - Args: - start_row: the starting row of the boolean matrix. - end_row: the last row of the boolean matrix. If not set, we only read the - start_row. - last_cols: if not None the number of columns to read, else we read all of - them. - - Returns: - A np.ndarray[end_row - start_row + 1, last_cols] - """ - worksheet = self.sheet.get_worksheet(2) - end_row = start_row if end_row is None else end_row - num_cols = worksheet.col_count - 1 if last_cols is None else last_cols - start_col = worksheet.col_count - num_cols - end_col = worksheet.col_count - 1 - result = extract(worksheet, start_row, start_col, end_row, end_col) - return result.astype(np.bool) - - def read_groups(self, num_groups = None): - """Reads the last num_groups from the spreadsheet. - - Args: - num_groups: the number of groups for which we want to get the results. If - not set, we read all of them. - Returns: - A np.ndarray[num_groups, num_patients]. - """ - worksheet = self.sheet.get_worksheet(2) - num_groups = worksheet.col_count - 1 - if num_groups < 2: - return np.array([]) - - result = self._read_bools(3, self.num_patients + 2, num_groups) - return result.T - - def read_results(self, num_groups = None): - """Reads the last num_groups results from the spreasheet. - - Args: - num_groups: the number of groups for which we want to get the results. If - not set, we read all of them. - Returns: - A np.ndarray[num_groups]. - """ - return np.squeeze(self._read_bools(2, 2, num_groups)) - - @property - def groups_url(self): - gid = self.sheet.get_worksheet(2).id - return f'{self.sheet.url}/edit#gid={gid}' diff --git a/grouptesting/configs/toy.gin b/grouptesting/configs/toy.gin deleted file mode 100644 index 4df7dd41068..00000000000 --- a/grouptesting/configs/toy.gin +++ /dev/null @@ -1,108 +0,0 @@ -import grouptesting.group_selectors.mutual_information -import grouptesting.group_selectors.origami -import grouptesting.group_selectors.random -import grouptesting.group_selectors.split -import grouptesting.group_selectors.informative_dorfman -import grouptesting.policy -import grouptesting.samplers.sequential_monte_carlo -import grouptesting.samplers.loopy_belief_propagation -import grouptesting.samplers.kernels -import grouptesting.wet_lab - - -## WetLab parameters - -# How many patients will be tested during the experiment. -WetLab.num_patients = 32 - -# Ground truth sensitivity and specificity of the testing environment, -# respectively the probability that an infected person's sample tests positive, -# and the probability that a non-infected person's sample returns negative. -# These parameters can be either described as a single float, in which case they -# will be used by the simulator to produce tests no matter what the group size -# is, or as an array of floats, in which case the i-th element of the array will -# refer to the sensitivity/specificity parameter for groups of size i. -WetLab.sensitivity = 0.85 -WetLab.specificity = 0.97 - -# Base infection rate guides the generation of a random diseased status vector. -# When given as a single float, each patient i will be infected with probability -# base_infection_rate. If num_patients floats are given, each patient will have -# its own different probability. If the infection status vector is known, one -# should simply pass it on to the wetlab as an array [0, 1, 0, 0, etc..] -# where 1 stands for an infected patient. -WetLab.base_infection_rate = 0.06 - -# This parameter should be set to False if one wishes to resample the diseased -# status vector across multiple simulations, when Simulator.num_simulations > 1 -WetLab.freeze_diseased = False - - - -## Simulator parameters - -# number of simulations done in a single run. If that parameter is larger -# than 1, you may want to set WetLab.freeze_diseased to False to resample a new -# groundtruth vector for each simulation. -Simulator.num_simulations = 1 - -# maximal size of a group (or pool). This is typically in the range of 5~32 -Simulator.max_group_size = 5 - -# number of tests available in the testing device per cycle. -Simulator.num_tests_per_cycle = 6 - -# total number of cycles that the experiment can use -Simulator.max_test_cycles = 4 - -# Prior (best guess) on the specificity and sensitivity of the WetLab -# formulated by sampler and policy objects. -# When the problem is well specified (i.e. the sampler and policy have -# an accurate knowledge of device noise) these values should match those -# defined for the WetLab. When there is misspecification, there might be a -# discrepancy. As with the WetLab, these parameters can be single float or -# arrays thereof. -Simulator.prior_specificity = 0.97 -Simulator.prior_sensitivity = 0.85 - -# Prior (best guess) on infection for all num_patients formulated by sampler and -# policy. -Simulator.prior_infection_rate = 0.03 - -# Ensure metrics are exported regularly, after carrying out a few simulations. -Simulator.export_metrics_every = 5 - -# Initialize WetLab and Policy for Simulator -Simulator.wetlab = @WetLab() -Simulator.policy = @Policy() - -# Set the policies selectors in sequential order. The last selector will be used -# by default at later stages. -Policy.selectors = (@MaxMutualInformation(),) - -# Parameter for the G-MIMAX strategy. -MaxMutualInformation.forward_iterations = 2 -MaxMutualInformation.backward_iterations = 1 - -# Set the sampler to be SmcSampler (needed by G-MIMAX). -Simulator.sampler = @SmcSampler() - -# Number of particles used by G-MIMAX -SmcSampler.num_particles = 5000 - -# When receiving new test results, the sampler can either resample from scratch -# (True) or use previous samples if they have been stored and only incorporate -# the most recent wave of test results (False). -SmcSampler.resample_at_each_iteration = False - -# MCMC Kernel -SmcSampler.kernel = @Gibbs() -Gibbs.cycles = 4 -Gibbs.liu_modification = True - -# To decode results we use by default a LBP sampler -Simulator.cheap_sampler = @LbpSampler() -LbpSampler.num_iterations = 100 - - - diff --git a/grouptesting/group_selectors/bayes_oed.py b/grouptesting/group_selectors/bayes_oed.py deleted file mode 100644 index f3ea6b3ac3e..00000000000 --- a/grouptesting/group_selectors/bayes_oed.py +++ /dev/null @@ -1,287 +0,0 @@ -# coding=utf-8 -# Copyright 2020 The Google Research Authors. -# -# Licensed under the Apache License, Version 2.0 (the "License"); -# you may not use this file except in compliance with the License. -# You may obtain a copy of the License at -# -# http://www.apache.org/licenses/LICENSE-2.0 -# -# Unless required by applicable law or agreed to in writing, software -# distributed under the License is distributed on an "AS IS" BASIS, -# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. -# See the License for the specific language governing permissions and -# limitations under the License. - -# Lint as: python3 -"""Generic group optimization with Bayes optimal experimental design (OED) . - -This file implements a generic Bayes OED function to optimize groups. Given a -utility function such as area under the ROC curve (AUC), the Bayes OED -approach attempts to find groups that maximize the expected objective function -under the current posterior. -""" - -import itertools -import gin -import jax -import jax.numpy as np - -from grouptesting import metrics -from grouptesting import utils -from grouptesting.group_selectors import group_selector -from grouptesting.group_selectors import mutual_information - - -@gin.configurable -def entropy(): - """Entropy as an objective function.""" - - @jax.jit - def entropy_utility(particle_weights, particles): - """Entropy of the distribution as utility. - - This function returns the entropy utility of the distribution of weights, - defined as the Kullback-Leibler divergence between the uniform distribution - and the distribution encoded by the particles. - Note that this requires all particles to be distinct; one should therefore - be careful to call this function only after after collapsing together - particles that may be repeated in the 'particles' array. - - Args: - particle_weights: weights of particles - particles: particles summarizing belief about infection status - - Returns: - The entropy utility of the distribution of weights. - """ - return particles.shape[1]*np.log(2) - metrics.entropy(particle_weights) - - return entropy_utility - - -@gin.configurable -def auc(): - """Area under the curve as an objective function.""" - - @jax.jit - def auc_utility(particle_weights, particles): - """Expected AUC of the marginal predictor as utility. - - This function returns the AUC utility of a distribution encoded as a - weighted sum of Dirac measures at particles. The AUC utility is the expected - AUC of the marginal distribution as predictor. - - Args: - particle_weights: weights of particles - particles: particles summarizing belief about infection status - - Returns: - The AUC utility of the distribution. - """ - marginal = np.sum(particle_weights[:, np.newaxis] * particles, axis=0) - sorted_particles = particles[:, np.argsort(marginal)] - false_count = np.cumsum(1 - sorted_particles, axis=1) - area = np.sum(sorted_particles * false_count, axis=1) - aucs = area / ( - false_count[:, -1] * (sorted_particles.shape[1] - false_count[:, -1])) - return np.nansum(aucs * particle_weights) - return auc_utility - - -@gin.configurable -def mean_sensitivity_specificity(threshold=0.1): - """Mean of sensitivity and specificity as an objective function. - - Args: - threshold: threshold on the marginal to make a positive or negative - prediction. - - Returns: - A function that takes two parameters the weights and the particles and - computes the objective function. - """ - - @jax.jit - def _mean_sen_spe_utility(particle_weights, particles): - """Expected mean sensitivity/specificity of the marginal predictor. - - This function returns the mean sensitivity/specificity utility of a - distribution encoded as a weighted sum of Dirac measures at particles. The - mean sensitivity/specificity utility is the expected mean - sensitivity/specificity of the marginal distribution thresholded at - 'threshold' as predictor. - - Args: - particle_weights: weights of particles - particles: particles summarizing belief about infection status - - Returns: - The mean sensitivity/specificity utility of the distribution. - """ - num_patients = particles.shape[1] - marginal = np.sum(particle_weights[:, np.newaxis] * particles, axis=0) - y_pred = marginal > threshold - total_pos = np.sum(particles, axis=1) - total_neg = num_patients - total_pos - sensitivities = np.sum(y_pred * particles, axis=1) / total_pos - specifities = np.sum((1-y_pred) * (1-particles), axis=1) / total_neg - sum_sen_spe = sensitivities + specifities - return np.nansum(sum_sen_spe * particle_weights) / 2 - return _mean_sen_spe_utility - - -def group_utility(particle_weights, - particles, - groups, - group_sensitivities, - group_specificities, - utility_fun): - """Compute the utility of a set of groups. - - This function computes the utility of a set of groups, given a distribution - over the population status encoded as a weighted sum of Dirac measures on - particles, the specificities and sensitivities of tests, and a utility - function. - - Args: - particle_weights: weights of particles - particles: particles summarizing belief about infection status - groups: set of groups to be tested - group_sensitivities: sensitivies of test for each group - group_specificities: specificities of test for each group - utility_fun: a utility function that takes as input (particle_weights, - particles) and output the utility of the distribution - - Returns: - The expected utility (over the test results) of the posterior - """ - num_groups = groups.shape[0] - proba_y_is_one_given_x = (np.matmul(particles, np.transpose(groups)) - * (group_sensitivities + group_specificities - 1) - + 1.0 - group_specificities) - proba_y_is_one_given_x = np.expand_dims(proba_y_is_one_given_x, axis=2) - test_res = np.array(list(itertools.product([0, 1], repeat=num_groups))) - test_res = np.expand_dims(np.transpose(test_res), axis=0) - proba_y_given_x = np.product(test_res * proba_y_is_one_given_x + (1-test_res) - * (1-proba_y_is_one_given_x), axis=1) - proba_y_and_x = proba_y_given_x * np.expand_dims(particle_weights, 1) - proba_y = np.sum(proba_y_and_x, axis=0) - proba_x_given_y = proba_y_and_x / np.expand_dims(proba_y, 0) - vutility_fun = jax.vmap(utility_fun, [1, None]) - utility_x_given_y = vutility_fun(proba_x_given_y, particles) - return np.dot(proba_y, utility_x_given_y) - - -def next_best_group(particle_weights, - particles, - previous_groups, - cur_group, - sensitivity, - specificity, - utility_fun, - backtracking): - """Performs greedy utility optimization to compute the next best group. - - Given a set of groups previous_groups, and a current candidate group - cur_group, this function computes the utility of the combination of - previous_groups and cur_group modified by adding (if backtracking = True) or - adding (if backtracking = False) on element to cur_group, and returns the - combination with largest utility. - - Args: - particle_weights: weights of particles - particles: particles summarizing belief about infection status - previous_groups: groups already chosen - cur_group: group that we wish to optimize - sensitivity: value (vector) of sensitivity(-ies depending on group size). - specificity: value (vector) of specificity(-ies depending on group size). - utility_fun: function to compute the utility of a set of groups - backtracking: (bool), True if removing rather than adding individuals. - - Returns: - best_group : cur_group updated with best choice - utility: utility of best_group - """ - if backtracking: - # Backward mode: test groups obtained by removing an item to cur_group - candidate_groups = np.logical_not( - mutual_information.add_ones_to_line(np.logical_not(cur_group))) - else: - # Forward mode: test groups obtained by adding an item to cur_group - candidate_groups = mutual_information.add_ones_to_line(cur_group) - n_candidates = candidate_groups.shape[0] - - # Combine past groups with candidate groups - candidate_sets = np.concatenate( - (np.repeat(previous_groups[:, :, np.newaxis], n_candidates, axis=2), - np.expand_dims(np.transpose(candidate_groups), axis=0)), - axis=0) - - # Compute utility of each candidate group - group_sizes = np.sum(candidate_sets[:, :, 0], axis=1) - group_sensitivities = utils.select_from_sizes(sensitivity, group_sizes) - group_specificities = utils.select_from_sizes(specificity, group_sizes) - group_util_fun = lambda x: group_utility(particle_weights, particles, x, - group_sensitivities, - group_specificities, utility_fun) - mgroup_util_fun = jax.vmap(group_util_fun, in_axes=2) - objectives = mgroup_util_fun(candidate_sets) - - # Greedy selection of largest value - index = np.argmax(objectives) - return (candidate_groups[index, :], objectives[index]) - - -@gin.configurable -class BayesOED(group_selector.GroupSelector): - """Uses generic Bayed OED to choose groups.""" - - NEEDS_POSTERIOR = True - - def __init__(self, - forward_iterations=1, - backward_iterations=0, - utility_fn=auc()): - if forward_iterations <= backward_iterations: - raise ValueError('Forward should be greater than backward.') - super().__init__() - self.forward_iterations = forward_iterations - self.backward_iterations = backward_iterations - self.utility_fn = utility_fn - - def get_groups(self, rng, state): - """A greedy forward-backward algorithm to pick groups with large utility.""" - particle_weights, particles = mutual_information.collapse_particles( - rng, state.particle_weights, state.particles) - n_patients = particles.shape[1] - iterations = [self.forward_iterations, self.backward_iterations] - - chosen_groups = np.empty((0, n_patients), dtype=bool) - added_groups_counter = 0 - while added_groups_counter < state.extra_tests_needed: - # start forming a new group, and improve it greedily - proposed_group = np.zeros((n_patients,), dtype=bool) - obj_old = -1 - while np.sum(proposed_group) < state.max_group_size: - for steps, backtrack in zip(iterations, [False, True]): - for _ in range(steps): - # Extract candidate with largest utility - proposed_group, obj_new = next_best_group(particle_weights, - particles, - chosen_groups, - proposed_group, - state.prior_sensitivity, - state.prior_specificity, - self.utility_fn, - backtracking=backtrack) - if obj_new > obj_old + 1e-6: - cur_group = proposed_group - obj_old = obj_new - else: - break - # stop adding, form next group - chosen_groups = np.concatenate((chosen_groups, cur_group[np.newaxis, :]), - axis=0) - added_groups_counter += 1 - return chosen_groups diff --git a/grouptesting/group_selectors/group_selector.py b/grouptesting/group_selectors/group_selector.py deleted file mode 100644 index e3a3212cbc4..00000000000 --- a/grouptesting/group_selectors/group_selector.py +++ /dev/null @@ -1,38 +0,0 @@ -# coding=utf-8 -# Copyright 2020 The Google Research Authors. -# -# Licensed under the Apache License, Version 2.0 (the "License"); -# you may not use this file except in compliance with the License. -# You may obtain a copy of the License at -# -# http://www.apache.org/licenses/LICENSE-2.0 -# -# Unless required by applicable law or agreed to in writing, software -# distributed under the License is distributed on an "AS IS" BASIS, -# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. -# See the License for the specific language governing permissions and -# limitations under the License. - -# Lint as: python3 -"""Abstract class for a group selection strategies.""" - -from absl import logging -import jax.numpy as np - - -class GroupSelector: - """Base class for all group selectors.""" - - NEEDS_POSTERIOR = False - - def __call__(self, rng, state): - new_groups = self.get_groups(rng, state) - state.add_groups_to_test(new_groups) - logging.warning('Added %i groups to test', new_groups.shape[0]) - logging.debug(new_groups.astype(np.int32)) - return state - - def get_groups(self, rng, state): - raise NotImplementedError - - diff --git a/grouptesting/group_selectors/group_selectors_test.py b/grouptesting/group_selectors/group_selectors_test.py deleted file mode 100644 index bd371a200f3..00000000000 --- a/grouptesting/group_selectors/group_selectors_test.py +++ /dev/null @@ -1,76 +0,0 @@ -# coding=utf-8 -# Copyright 2020 The Google Research Authors. -# -# Licensed under the Apache License, Version 2.0 (the "License"); -# you may not use this file except in compliance with the License. -# You may obtain a copy of the License at -# -# http://www.apache.org/licenses/LICENSE-2.0 -# -# Unless required by applicable law or agreed to in writing, software -# distributed under the License is distributed on an "AS IS" BASIS, -# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. -# See the License for the specific language governing permissions and -# limitations under the License. - -# Lint as: python3 -"""Tests for the different group selectors.""" - -from absl.testing import absltest -from absl.testing import parameterized -import jax -import jax.numpy as np -import jax.test_util - -from grouptesting import state -from grouptesting.group_selectors import bayes_oed -from grouptesting.group_selectors import informative_dorfman -from grouptesting.group_selectors import mutual_information -from grouptesting.group_selectors import random -from grouptesting.group_selectors import split -from grouptesting.samplers import sequential_monte_carlo - - -class GroupSelectorsTest(jax.test_util.JaxTestCase, parameterized.TestCase): - - def setUp(self): - super().setUp() - self.num_patients = 20 - self.num_tests_per_cycle = 3 - self.state = state.State( - self.num_patients, self.num_tests_per_cycle, max_group_size=4, - prior_infection_rate=0.30, prior_specificity=0.9, prior_sensitivity=0.7) - - self.rng = jax.random.PRNGKey(0) - - @parameterized.parameters([ - random.RandomSelector(), split.SplitSelector(split_factor=2), - ]) - def test_selector_without_particles(self, selector): - groups = selector.get_groups(self.rng, self.state) - self.assertGreater(groups.shape[0], 0) - self.assertEqual(groups.shape[1], self.num_patients) - self.assertEqual(np.size(self.state.groups_to_test), 0) - selector(self.rng, self.state) - self.assertGreater(np.size(self.state.groups_to_test), 0) - - @parameterized.parameters([ - mutual_information.MaxMutualInformation(), - informative_dorfman.InformativeDorfman(), - bayes_oed.BayesOED(), - bayes_oed.BayesOED(utility_fn=bayes_oed.auc()), - bayes_oed.BayesOED(utility_fn=bayes_oed.entropy()), - bayes_oed.BayesOED(utility_fn=bayes_oed.mean_sensitivity_specificity()), - ]) - def test_selector_with_particles(self, selector): - sampler = sequential_monte_carlo.SmcSampler(num_particles=100) - rngs = jax.random.split(self.rng, 2) - sampler.produce_sample(rngs[0], self.state) - self.state.update_particles(sampler) - self.assertEqual(np.size(self.state.groups_to_test), 0) - selector(rngs[1], self.state) - self.assertGreater(np.size(self.state.groups_to_test), 0) - - -if __name__ == '__main__': - absltest.main() diff --git a/grouptesting/group_selectors/informative_dorfman.py b/grouptesting/group_selectors/informative_dorfman.py deleted file mode 100644 index c6081133d01..00000000000 --- a/grouptesting/group_selectors/informative_dorfman.py +++ /dev/null @@ -1,128 +0,0 @@ -# coding=utf-8 -# Copyright 2020 The Google Research Authors. -# -# Licensed under the Apache License, Version 2.0 (the "License"); -# you may not use this file except in compliance with the License. -# You may obtain a copy of the License at -# -# http://www.apache.org/licenses/LICENSE-2.0 -# -# Unless required by applicable law or agreed to in writing, software -# distributed under the License is distributed on an "AS IS" BASIS, -# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. -# See the License for the specific language governing permissions and -# limitations under the License. - -# Lint as: python3 -"""Implements our Informative Dorfman group selector.""" - -import gin -import jax -import jax.numpy as np -import numpy as onp - - -from grouptesting import utils -from grouptesting.group_selectors import group_selector - - -@gin.configurable -class InformativeDorfman(group_selector.GroupSelector): - """Implements PSOD from (McMahan & al, 2012) paper, with modifications. - - https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3197971/ S.3.3 PSOD - http://www.biometrics.tibs.org/datasets/100838PR2_supp_materials.pdf. - - Other reference: - R implementation - https://www.rdocumentation.org/packages/binGroup/versions/2.2-1/source - in Dorfman.Functions.R, line 430 - pool.specific.dorf<-function(p,max.p,se,sp) - - Added a cut_off_low / cut_off_high parameter to stop testing patients - whose marginal is already more or less decided, as well as random sampling - to account for testing capacities. - """ - - NEEDS_POSTERIOR = False - - def __init__(self, - cut_off_high = 1, - cut_off_low = 0, - modified = False): - """Creates an Informative Dorfman selector. - - Args: - cut_off_high : float, patients with a marginal value above that threshold - are not considered. - cut_off_low : float, patients with a marginal value below that threshold - are not considered. - modified : bool that indicates whether the ID selector (from original - paper) is modified to only output a predetermined number of tests, in - which case the idea is to randomly sample a subset of them, or whether - we proceed in standard fashion, as is the case with Dorfman strategies, - by adding all tests that are needed regardless of the capacity of the - testing device in the next testing cycle. - """ - - super().__init__() - self.modified = modified - self.cut_off_high = cut_off_high - self.cut_off_low = cut_off_low - - def __call__(self, rng, state): - """Produces new groups and adds them to state's stack.""" - p_weights, particles = state.particle_weights, state.particles - marginal = onp.array(np.sum(p_weights[:, np.newaxis] * particles, axis=0)) - marginal = onp.squeeze(marginal) - not_cut_ids, = onp.where(np.logical_and( - marginal < self.cut_off_high, marginal > self.cut_off_low)) - marginal = marginal[not_cut_ids] - sorted_ids = onp.argsort(marginal) - sorted_marginal = onp.array(marginal[sorted_ids]) - n_p = 0 - n_r = marginal.size - if n_r == 0: # no one left to test in between thresholds - state.all_cleared = True - return state - - all_new_groups = np.empty((0, state.num_patients), dtype=bool) - while n_p < marginal.size: - index_max = onp.amin((n_r, state.max_group_size)) - group_sizes = onp.arange(1, index_max + 1) - cum_prod_prob = onp.cumprod(1 - sorted_marginal[n_p:(n_p + index_max)]) - # formula below is only valid for group_size > 1, - # corrected below for a group of size 1. - sensitivity = onp.array( - utils.select_from_sizes(state.prior_sensitivity, group_sizes)) - specificity = onp.array( - utils.select_from_sizes(state.prior_specificity, group_sizes)) - - exp_div_size = ( - 1 + group_sizes * - (sensitivity + (1 - sensitivity - specificity) * cum_prod_prob) - ) / group_sizes - exp_div_size[0] = 1 # adjusted cost for one patient is one. - opt_size_group = onp.argmin(exp_div_size) + 1 - new_group = onp.zeros((1, state.num_patients)) - new_group[0, not_cut_ids[sorted_ids[n_p:n_p + opt_size_group]]] = True - all_new_groups = np.concatenate((all_new_groups, new_group), axis=0) - n_p = n_p + opt_size_group - n_r = n_r - opt_size_group - # sample randomly extra_tests_needed groups in modified case, all in - # regular ID. - # Because ID is a Dorfman type approach, it might be followed - # by exhaustive splitting, which requires to keep track of groups - # that tested positives to retest them. - all_new_groups = jax.random.permutation(rng, all_new_groups) - if self.modified: - # in the case where we use modified ID, we only subsample a few groups. - # one needs to take care of requesting to keep track of positives. - new_groups = all_new_groups[0:state.extra_tests_needed].astype(bool) - state.add_groups_to_test(new_groups, - results_need_clearing=True) - else: - # with regular ID we add all groups at once. - state.add_groups_to_test(all_new_groups.astype(bool), - results_need_clearing=True) - return state diff --git a/grouptesting/group_selectors/mutual_information.py b/grouptesting/group_selectors/mutual_information.py deleted file mode 100644 index 0093731a7cf..00000000000 --- a/grouptesting/group_selectors/mutual_information.py +++ /dev/null @@ -1,270 +0,0 @@ -# coding=utf-8 -# Copyright 2020 The Google Research Authors. -# -# Licensed under the Apache License, Version 2.0 (the "License"); -# you may not use this file except in compliance with the License. -# You may obtain a copy of the License at -# -# http://www.apache.org/licenses/LICENSE-2.0 -# -# Unless required by applicable law or agreed to in writing, software -# distributed under the License is distributed on an "AS IS" BASIS, -# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. -# See the License for the specific language governing permissions and -# limitations under the License. - -# Lint as: python3 -"""Defines a greedy selector based on maximizing the mutual information.""" - -from absl import logging -import gin -import jax -import jax.numpy as np -from grouptesting import metrics -from grouptesting import utils -from grouptesting.group_selectors import group_selector - - -def collapse_particles(rng, particle_weights, particles): - """Collapses identical particles and recompute their weights.""" - n_particles, num_patients = particles.shape - if n_particles < 2: - return particle_weights, particles - - alpha = jax.random.normal(rng, shape=((1, num_patients))) - random_projection = np.sum(particles * alpha, axis=-1) - indices = np.argsort(random_projection) - particles = particles[indices, :] - particle_weights = particle_weights[indices] - cumsum_particle_weights = np.cumsum(particle_weights) - random_projection = random_projection[indices] - indices_singles, = np.where(np.flip(np.diff(np.flip(random_projection)) != 0)) - indices_singles = np.append(indices_singles, n_particles - 1) - new_weights = np.diff(cumsum_particle_weights[indices_singles]) - new_weights = np.append( - np.array(cumsum_particle_weights[indices_singles[0]]), new_weights) - new_particles = particles[indices_singles, :] - return new_weights, new_particles - - -def joint_mi_criterion_mg(particle_weights, - particles, - cur_group, - cur_positives, - previous_groups_prob_particles_states, - previous_groups_cumcond_entropy, - sensitivity, - specificity, - backtracking): - """Compares the benefit of adding one group to previously selected ones. - - Groups are formed iteratively by considering all possible individuals - that can be considered to add (or remove if backtracking). - - If the sensitivity and/or specificity parameters are group size dependent, - we take that into account in our optimization. - Here all groups have the same size, hence they all share the same - specificity / sensitivity setting. We just replace the vector by its value at - the appropriate coordinate. - - The size of the group considered here will be the size of cur_group + 1 if - going forward / -1 if backtracking. - - Args: - particle_weights: weights of particles - particles: particles summarizing belief about infection status - cur_group: group currently considered to add to former groups. - cur_positives: stores which particles would test positive w.r.t cur_group - previous_groups_prob_particles_states: particles x test outcome probabilities - previous_groups_cumcond_entropy: previous conditional entropies - sensitivity: value (vector) of sensitivity(-ies depending on group size). - specificity: value (vector) of specificity(-ies depending on group size). - backtracking: (bool), True if removing rather than adding individuals. - - Returns: - cur_group : group updated with best choice - cur_positives : bool vector keeping trace of whether particles - would test or not positive - new_objective : MI reached with this new group - prob_particles_states : if cur_group were to be selected, this matrix - would keep track of probability of seeing one of 2^j possible test - outcomes across all particles. - new_cond_entropy : if cur_group were to be selected, this constant would be - added to store the conditional entropies of all tests carried out thusfar - """ - group_size = np.atleast_1d(np.sum(cur_group) + 1 - 2 * backtracking) - sensitivity = utils.select_from_sizes(sensitivity, group_size) - specificity = utils.select_from_sizes(specificity, group_size) - if backtracking: - # if backtracking, we recompute the truth table for all proposed groups, - # namely run the np.dot below - # TODO(cuturi)? If we switch to integer arithmetic we may be able to - # save on this iteration by keeping track of how many positives there - # are, and not just on whether there is or not one positive. - candidate_groups = np.logical_not( - add_ones_to_line(np.logical_not(cur_group))) - positive_in_groups = np.dot(candidate_groups, np.transpose(particles)) > 0 - else: - # in forward mode, candidate groups are recovered by adding - # a 1 instead of zeros. Therefore, we can use previous vector of positive - # in groups to simply compute all positive in groups for candidates - indices_of_false_in_cur_group, = np.where(np.logical_not(cur_group)) - positive_in_groups = np.logical_or( - cur_positives[:, np.newaxis], - particles[:, indices_of_false_in_cur_group]) - # recover a candidates x n_particles matrix - positive_in_groups = np.transpose(positive_in_groups) - - entropy_spec = metrics.binary_entropy(specificity) - gamma = metrics.binary_entropy(sensitivity) - entropy_spec - cond_entropy = previous_groups_cumcond_entropy + entropy_spec + gamma * np.sum( - particle_weights[np.newaxis, :] * positive_in_groups, axis=1) - rho = specificity + sensitivity - 1 - - # positive_in_groups defines probability of two possible outcomes for the test - # of each new candidate group. - probabilities_new_test = np.stack( - (specificity - rho * positive_in_groups, - 1 - specificity + rho * positive_in_groups), - axis=-1) - # we now incorporate previous probability of all previous groups added so far - # and expand x 2 the state space of possible test results. - new_plus_previous_groups_prob_particles_states = np.concatenate( - (probabilities_new_test[:, :, 0][:, :, np.newaxis] * - previous_groups_prob_particles_states[np.newaxis, :, :], - probabilities_new_test[:, :, 1][:, :, np.newaxis] * - previous_groups_prob_particles_states[np.newaxis, :, :]), - axis=2) - - # average over particles to recover probability of all 2^j possible - # test results - new_plus_previous_groups_prob_states = np.sum( - particle_weights[np.newaxis, :, np.newaxis] * - new_plus_previous_groups_prob_particles_states, - axis=1) - - whole_entropy = metrics.entropy( - new_plus_previous_groups_prob_states, axis=1) - - # exhaustive way to compute cond entropy, useful to check - # computations. - # cond_entropy_old = np.sum( - # particle_weights[np.newaxis, :] * - # entropy(new_plus_previous_groups_prob_particles_states, axis=2), - # axis=1) - objectives = whole_entropy - cond_entropy - - # greedy selection of largest/smallest value - index = np.argmax(objectives) - - if backtracking: - # return most promising group by recovering it from the matrix directly - logging.info('backtracking, candidate_groups size: %i', - candidate_groups.shape) - cur_group = candidate_groups[index, :] - - else: - # return most promising group by adding a 1 - cur_group = jax.ops.index_update( - cur_group, indices_of_false_in_cur_group[index], True) - - # refresh the status of vector positives - cur_positives = positive_in_groups[index, :] - new_objective = objectives[index] - prob_particles_states = new_plus_previous_groups_prob_particles_states[ - index, :, :] - new_cond_entropy = cond_entropy[index] - return (cur_group, cur_positives, new_objective, - prob_particles_states, new_cond_entropy) - - -def add_ones_to_line(single_group): - indices, = np.where(np.logical_not(single_group)) - k_zeros = len(indices) - groups = ( - np.zeros((k_zeros, single_group.shape[0]), dtype=bool) - + single_group[np.newaxis, :]) - groups = jax.ops.index_update( - groups, jax.ops.index[np.arange(0, k_zeros), indices], True) - return groups - - -@gin.configurable -class MaxMutualInformation(group_selector.GroupSelector): - """Uses MI greedy optimization to choose groups.""" - - NEEDS_POSTERIOR = True - - def __init__(self, forward_iterations=1, backward_iterations=0): - if forward_iterations <= backward_iterations: - raise ValueError('Forward should be greater than backward.') - - super().__init__() - self.forward_iterations = forward_iterations - self.backward_iterations = backward_iterations - - def get_groups(self, rng, state): - """A greedy forward-backward algorithm to pick groups with large MI.""" - particle_weights, particles = collapse_particles( - rng, state.particle_weights, state.particles) - n_particles, n_patients = particles.shape - - previous_groups_prob_partstates = np.ones((n_particles, 1)) - previous_groups_cumcond_entropy = 0 - chosen_groups = np.empty((0, n_patients), dtype=bool) - added_groups_counter = 0 - while added_groups_counter < state.extra_tests_needed: - # start forming a new group, and evaluate all possible groups - proposed_group = np.zeros((n_patients,), dtype=bool) - positives_in_proposed_group = np.zeros((n_particles,), dtype=bool) - proposed_group_size = 0 - obj_old = -1 - forward_it = self.forward_iterations - backward_it = self.backward_iterations - # test if it is feasible to add fw - bw groups and still maintain - # group within size of constraints. - while (proposed_group_size - + forward_it - - backward_it) <= state.max_group_size: - iterations = [self.forward_iterations, self.backward_iterations] - for steps, backtrack in zip(iterations, [False, True]): - for _ in range(steps): - # extract candidate with largest potential - (proposed_group, positives_in_proposed_group, obj_new, - proposed_group_prob_partstates, - proposed_group_cumcond_entropy) = joint_mi_criterion_mg( - particle_weights, - particles, - proposed_group, - positives_in_proposed_group, - previous_groups_prob_partstates, - previous_groups_cumcond_entropy, - state.prior_sensitivity, - state.prior_specificity, - backtrack) - - if obj_new > obj_old + 1e-6: # 1st update or minimal increment - # accept update to cur_group and keep track of quantities that - # might be used if this cur_group is added to the list of groups. - cur_group = proposed_group - cur_groups_cumcond_entropy = proposed_group_cumcond_entropy - cur_groups_recorded_prob_partstates = proposed_group_prob_partstates - # cur_positives = positives_in_proposed_group - obj_old = obj_new - proposed_group_size += (forward_it - backward_it) - # correction on backward_it done to ensure one is able to get to - # upperbound on group size. - backward_it = np.maximum(backward_it, - proposed_group_size + forward_it - - state.max_group_size) - # still check it is feasible, by taking a min w.r.t. largest possible - backward_it = np.minimum(backward_it, forward_it -1) - else: - break - # stop adding, form next group - previous_groups_prob_partstates = cur_groups_recorded_prob_partstates - previous_groups_cumcond_entropy = cur_groups_cumcond_entropy - chosen_groups = np.concatenate( - (chosen_groups, cur_group[np.newaxis, :]), axis=0) - added_groups_counter += 1 - return chosen_groups diff --git a/grouptesting/group_selectors/origami.py b/grouptesting/group_selectors/origami.py deleted file mode 100644 index acd582c7a50..00000000000 --- a/grouptesting/group_selectors/origami.py +++ /dev/null @@ -1,298 +0,0 @@ -# coding=utf-8 -# Copyright 2020 The Google Research Authors. -# -# Licensed under the Apache License, Version 2.0 (the "License"); -# you may not use this file except in compliance with the License. -# You may obtain a copy of the License at -# -# http://www.apache.org/licenses/LICENSE-2.0 -# -# Unless required by applicable law or agreed to in writing, software -# distributed under the License is distributed on an "AS IS" BASIS, -# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. -# See the License for the specific language governing permissions and -# limitations under the License. - -# Lint as: python3 -"""Defines Origami group strategies (only for some input sizes).""" - -import itertools - -import gin -import jax -import jax.numpy as np -import numpy as onp -import scipy.special -from grouptesting.group_selectors import group_selector - - -def origami_xl5(): - new_groups = onp.zeros((94, 271)) - new_groups[0, [0, 22, 46, 80, 101, 134, 180, 207, 220, 229, 245, 270]] = 1 - new_groups[1, [31, 33, 38, 46, 77, 86, 100, 102, 105, 107, 129, 159, 219, 248, 262]] = 1 - new_groups[2, [0, 8, 14, 16, 18, 20, 57, 74, 79, 120, 223, 238, 249, 269]] = 1 - new_groups[3, [6, 12, 27, 85, 98, 111, 121, 141, 171, 175, 177, 179, 186, 205, 206]] = 1 - new_groups[4, [6, 11, 29, 38, 45, 47, 68, 76, 126, 147, 149, 169, 173, 210, 215]] = 1 - new_groups[5, [12, 35, 51, 60, 115, 122, 133, 151, 173, 238, 241, 270]] = 1 - new_groups[6, [2, 19, 55, 59, 76, 116, 127, 130, 141, 146, 190, 202, 204, 244, 262]] = 1 - new_groups[7, [46, 52, 68, 97, 110, 117, 118, 156, 160, 178, 196, 214, 236, 238]] = 1 - new_groups[8, [24, 60, 102, 116, 125, 137, 166, 214, 218, 227, 253, 259, 261]] = 1 - new_groups[9, [43, 63, 77, 138, 147, 153, 158, 164, 167, 184, 205, 223, 240, 250, 270]] = 1 - new_groups[10, [10, 12, 29, 41, 54, 66, 87, 102, 138, 146, 208, 236, 237, 247, 255]] = 1 - new_groups[11, [56, 106, 119, 129, 137, 160, 163, 184, 186, 234, 235, 245, 246, 257, 269]] = 1 - new_groups[12, [27, 51, 74, 78, 96, 126, 130, 140, 152, 188, 198, 231, 236, 243, 248]] = 1 - new_groups[13, [41, 74, 91, 100, 118, 128, 139, 147, 157, 181, 192, 197, 202, 213, 253]] = 1 - new_groups[14, [14, 23, 30, 61, 67, 83, 95, 102, 113, 121, 136, 162, 190, 210, 213]] = 1 - new_groups[15, [1, 13, 24, 27, 89, 114, 135, 139, 143, 146, 167, 170, 194, 207, 210]] = 1 - new_groups[16, [2, 26, 58, 104, 121, 133, 149, 167, 182, 183, 187, 188, 199, 253, 269]] = 1 - new_groups[17, [9, 10, 28, 34, 51, 90, 94, 101, 121, 124, 131, 144, 170, 197, 224]] = 1 - new_groups[18, [22, 23, 42, 50, 53, 65, 88, 96, 115, 142, 172, 177, 197, 246, 264]] = 1 - new_groups[19, [63, 79, 101, 110, 128, 136, 174, 176, 186, 195, 204, 209, 230, 248]] = 1 - new_groups[20, [4, 18, 44, 53, 94, 104, 106, 107, 151, 157, 196, 205, 210, 216, 225]] = 1 - new_groups[21, [13, 49, 54, 56, 71, 73, 84, 94, 95, 110, 123, 182, 218, 267, 268]] = 1 - new_groups[22, [44, 58, 76, 82, 86, 91, 114, 142, 165, 189, 214, 243, 251, 267, 270]] = 1 - new_groups[23, [14, 33, 75, 78, 93, 134, 167, 179, 193, 197, 201, 212, 214, 239, 242]] = 1 - new_groups[24, [7, 10, 27, 52, 62, 76, 80, 83, 104, 112, 168, 209, 223, 234, 258]] = 1 - new_groups[25, [3, 19, 23, 37, 75, 77, 82, 108, 137, 144, 175, 211, 220, 249]] = 1 - new_groups[26, [3, 21, 51, 87, 98, 145, 150, 172, 178, 201, 204, 207, 223, 235, 253]] = 1 - new_groups[27, [1, 7, 35, 39, 45, 120, 123, 171, 183, 212, 220, 227, 246, 262, 263]] = 1 - new_groups[28, [39, 44, 47, 72, 90, 109, 132, 160, 177, 195, 223, 231, 254, 255, 259]] = 1 - new_groups[29, [0, 3, 25, 35, 40, 49, 69, 140, 153, 170, 179, 189, 199, 255]] = 1 - new_groups[30, [3, 9, 36, 57, 72, 73, 83, 106, 111, 147, 180, 194, 208, 244, 248]] = 1 - new_groups[31, [10, 16, 48, 81, 141, 143, 149, 158, 178, 181, 185, 189, 211, 241, 261]] = 1 - new_groups[32, [64, 81, 82, 89, 99, 126, 136, 157, 166, 179, 208, 222, 262, 266]] = 1 - new_groups[33, [5, 15, 20, 22, 24, 95, 104, 119, 126, 154, 175, 178, 202, 212, 219]] = 1 - new_groups[34, [9, 16, 43, 54, 59, 118, 134, 188, 209, 219, 252, 254, 265]] = 1 - new_groups[35, [41, 49, 62, 113, 131, 137, 155, 188, 206, 232, 238, 242, 262]] = 1 - new_groups[36, [8, 27, 37, 38, 63, 88, 93, 151, 199, 202, 218, 221, 235, 252, 266]] = 1 - new_groups[37, [21, 40, 45, 58, 92, 103, 111, 184, 190, 211, 225, 236, 239, 254, 266]] = 1 - new_groups[38, [38, 55, 71, 90, 111, 133, 136, 142, 153, 185, 193, 198, 207, 227, 265]] = 1 - new_groups[39, [14, 28, 150, 173, 182, 189, 205, 217, 226, 227, 236]] = 1 - new_groups[40, [20, 37, 96, 97, 132, 150, 164, 169, 170, 183, 186, 200, 213, 216, 244]] = 1 - new_groups[41, [9, 33, 35, 41, 65, 98, 109, 119, 143, 190, 218, 229, 249, 250, 258]] = 1 - new_groups[42, [2, 8, 46, 54, 61, 103, 119, 135, 147, 148, 172, 176, 185, 224, 232]] = 1 - new_groups[43, [0, 10, 15, 67, 89, 93, 132, 142, 171, 188, 191, 215, 225, 257, 260]] = 1 - new_groups[44, [2, 21, 25, 30, 65, 81, 112, 134, 154, 164, 173, 198, 221, 230, 237]] = 1 - new_groups[45, [5, 8, 25, 42, 85, 99, 100, 122, 123, 214, 225, 231, 234, 240]] = 1 - new_groups[46, [19, 29, 57, 70, 88, 101, 133, 135, 152, 160, 162, 165, 200, 219, 242]] = 1 - new_groups[47, [47, 53, 71, 120, 146, 154, 159, 165, 166, 203, 232, 234, 241, 250]] = 1 - new_groups[48, [5, 7, 13, 18, 48, 72, 91, 92, 96, 131, 134, 138, 199, 204, 222]] = 1 - new_groups[49, [14, 39, 53, 62, 77, 119, 125, 139, 141, 145, 200, 251, 260, 266]] = 1 - new_groups[50, [36, 49, 50, 117, 124, 146, 152, 163, 185, 209, 216, 249, 263, 266, 270]] = 1 - new_groups[51, [13, 58, 64, 65, 90, 93, 106, 113, 122, 130, 150, 158, 159, 161, 209]] = 1 - new_groups[52, [28, 43, 48, 74, 88, 122, 148, 191, 207, 216, 239, 251, 256, 259]] = 1 - new_groups[53, [21, 42, 80, 106, 120, 121, 125, 143, 153, 155, 176, 215, 217, 222, 252]] = 1 - new_groups[54, [12, 34, 39, 50, 56, 92, 100, 116, 162, 169, 176, 194, 221, 229, 243]] = 1 - new_groups[55, [24, 61, 66, 86, 88, 90, 92, 98, 99, 108, 112, 127, 128, 268, 269]] = 1 - new_groups[56, [7, 24, 26, 34, 41, 63, 67, 73, 140, 148, 163, 201, 241, 254]] = 1 - new_groups[57, [5, 19, 51, 68, 86, 177, 208, 213, 229, 233, 239, 252]] = 1 - new_groups[58, [3, 68, 95, 101, 109, 125, 130, 157, 163, 164, 206, 256, 264]] = 1 - new_groups[59, [32, 52, 61, 71, 122, 152, 157, 170, 174, 184, 212, 233, 237, 260]] = 1 - new_groups[60, [26, 31, 59, 85, 103, 138, 156, 166, 210, 220, 221, 242, 256, 260]] = 1 - new_groups[61, [8, 17, 22, 69, 70, 81, 83, 94, 186, 226, 233, 250, 254]] = 1 - new_groups[62, [17, 23, 31, 73, 79, 80, 127, 139, 160, 225, 232, 243, 247, 261, 263]] = 1 - new_groups[63, [69, 78, 82, 129, 131, 133, 169, 205, 230, 256, 258, 261, 268]] = 1 - new_groups[64, [16, 69, 105, 108, 115, 116, 126, 132, 167, 180, 196, 206, 234, 247, 267]] = 1 - new_groups[65, [84, 89, 92, 104, 105, 118, 144, 161, 165, 173, 195, 233, 235, 256, 263]] = 1 - new_groups[66, [1, 2, 18, 40, 87, 97, 100, 144, 174, 217, 241, 251, 264, 265, 268]] = 1 - new_groups[67, [9, 13, 61, 75, 85, 140, 155, 164, 168, 178, 195, 226, 246, 247, 251]] = 1 - new_groups[68, [4, 52, 70, 73, 89, 91, 145, 149, 224, 245, 249, 252, 259, 264]] = 1 - new_groups[69, [20, 32, 38, 40, 44, 78, 98, 115, 123, 139, 148, 156, 162, 187, 203]] = 1 - new_groups[70, [25, 33, 34, 43, 66, 70, 71, 82, 97, 168, 177, 192, 204, 215, 263]] = 1 - new_groups[71, [4, 12, 15, 31, 37, 47, 58, 74, 81, 110, 155, 163, 172, 180, 227]] = 1 - new_groups[72, [4, 20, 43, 60, 109, 113, 114, 127, 129, 171, 174, 185, 201, 221]] = 1 - new_groups[73, [1, 11, 33, 50, 112, 113, 148, 153, 195, 196, 202, 208, 211]] = 1 - new_groups[74, [15, 26, 46, 66, 109, 120, 131, 145, 161, 181, 184, 194, 198, 216, 267]] = 1 - new_groups[75, [6, 17, 35, 42, 44, 102, 118, 124, 130, 154, 174, 180, 182, 211, 257]] = 1 - new_groups[76, [40, 42, 47, 56, 57, 93, 107, 117, 127, 136, 138, 168, 183, 206, 224]] = 1 - new_groups[77, [30, 69, 86, 111, 123, 143, 151, 161, 166, 172, 192, 200, 257]] = 1 - new_groups[78, [31, 72, 87, 112, 135, 137, 169, 171, 181, 182, 190, 193, 203, 233]] = 1 - new_groups[79, [0, 1, 21, 32, 64, 66, 68, 72, 85, 105, 197, 200, 218, 228, 243]] = 1 - new_groups[80, [17, 64, 76, 110, 115, 125, 183, 191, 192, 193, 194, 219, 237, 240, 245]] = 1 - new_groups[81, [11, 17, 28, 36, 52, 65, 103, 107, 132, 175, 187, 222, 268]] = 1 - new_groups[82, [15, 18, 29, 39, 83, 84, 108, 114, 117, 140, 158, 187, 230, 232, 239]] = 1 - new_groups[83, [11, 32, 48, 59, 79, 95, 108, 135, 142, 159, 192, 201, 226, 229, 231]] = 1 - new_groups[84, [6, 7, 36, 37, 114, 159, 196, 198, 228, 240, 242, 261, 264, 269]] = 1 - new_groups[85, [11, 25, 54, 55, 62, 75, 96, 124, 151, 156, 158, 165, 217, 245, 253]] = 1 - new_groups[86, [30, 32, 34, 36, 45, 75, 84, 87, 128, 129, 141, 191, 199, 238, 250]] = 1 - new_groups[87, [19, 26, 48, 78, 80, 128, 150, 154, 224, 228, 246, 265]] = 1 - new_groups[88, [5, 16, 28, 30, 55, 56, 60, 63, 145, 152, 203, 215, 220, 255]] = 1 - new_groups[89, [4, 22, 29, 49, 67, 79, 105, 156, 168, 181, 222, 240, 244, 265]] = 1 - new_groups[90, [50, 59, 60, 62, 70, 84, 99, 175, 189, 193, 213, 228, 247, 248, 257]] = 1 - new_groups[91, [23, 64, 97, 107, 116, 124, 149, 155, 203, 230, 231, 235, 260]] = 1 - new_groups[92, [6, 77, 91, 94, 99, 103, 117, 161, 162, 191, 212, 217, 244, 255, 258]] = 1 - new_groups[93, [45, 53, 55, 57, 67, 144, 176, 179, 187, 226, 228, 237, 258, 259, 267]] = 1 - return np.array(new_groups, dtype=bool) - - -def origami_l5(): - new_groups=onp.zeros((46,68)) - new_groups[0, [1, 10, 26, 29, 52, 56, 57, 66]] = 1 - new_groups[1, [0, 6, 7, 18, 51, 57, 60, 62]] = 1 - new_groups[2, [15, 21, 25, 27, 40, 42, 52, 61]] = 1 - new_groups[3, [2, 7, 13, 14, 28, 41, 46, 48]] = 1 - new_groups[4, [0, 8, 11, 21, 28, 30, 47, 53]] = 1 - new_groups[5, [2, 16, 20, 36, 45, 55, 63, 66]] = 1 - new_groups[6, [1, 5, 8, 12, 19, 32, 33, 48]] = 1 - new_groups[7, [0, 1, 17, 22, 36, 40, 49, 50]] = 1 - new_groups[8, [17, 33, 34, 62, 66, 67]] = 1 - new_groups[9, [4, 14, 26, 27, 36, 53, 64, 67]] = 1 - new_groups[10, [3, 12, 41, 49, 52, 54, 60, 63]] = 1 - new_groups[11, [8, 38, 39, 57, 63, 64]] = 1 - new_groups[12, [18, 22, 26, 39, 46, 54, 55]] = 1 - new_groups[13, [21, 23, 29, 43, 46, 50, 67]] = 1 - new_groups[14, [2, 3, 5, 15, 22, 37, 38, 47]] = 1 - new_groups[15, [3, 10, 48, 51, 55, 61, 67]] = 1 - new_groups[16, [8, 31, 36, 37, 54, 58, 61, 65]] = 1 - new_groups[17, [7, 20, 27, 30, 32, 38]] = 1 - new_groups[18, [15, 23, 28, 32, 39, 44, 49, 66]] = 1 - new_groups[19, [4, 7, 10, 35, 47, 65]] = 1 - new_groups[20, [24, 27, 29, 31, 48, 49, 62]] = 1 - new_groups[21, [4, 16, 24, 32, 41, 50, 57]] = 1 - new_groups[22, [16, 19, 43, 47, 56, 60, 61]] = 1 - new_groups[23, [6, 16, 22, 44, 48, 52, 64, 65]] = 1 - new_groups[24, [10, 13, 27, 33, 37, 59, 63]] = 1 - new_groups[25, [1, 18, 23, 34, 38, 41, 53, 61]] = 1 - new_groups[26, [4, 12, 15, 30, 34, 46, 56, 58]] = 1 - new_groups[27, [9, 13, 17, 18, 31, 32, 47, 52]] = 1 - new_groups[28, [5, 9, 23, 25, 58, 62, 63]] = 1 - new_groups[29, [26, 30, 37, 41, 42, 45, 51]] = 1 - new_groups[30, [0, 14, 25, 29, 33, 38, 55, 65]] = 1 - new_groups[31, [4, 9, 19, 22, 28, 29, 51, 59]] = 1 - new_groups[32, [3, 6, 9, 11, 33, 36, 42, 46]] = 1 - new_groups[33, [6, 13, 19, 45, 49, 53, 58]] = 1 - new_groups[34, [14, 16, 30, 40, 54, 59]] = 1 - new_groups[35, [0, 2, 23, 35, 42, 56, 59, 64]] = 1 - new_groups[36, [5, 7, 17, 21, 45, 54, 56]] = 1 - new_groups[37, [9, 24, 35, 37, 40, 53, 60, 66]] = 1 - new_groups[38, [8, 20, 25, 26, 34, 50, 59, 60]] = 1 - new_groups[39, [2, 11, 12, 31, 40, 44, 57, 67]] = 1 - new_groups[40, [5, 11, 34, 39, 43, 51, 65]] = 1 - new_groups[41, [17, 19, 20, 24, 42, 44]] = 1 - new_groups[42, [10, 12, 18, 24, 25, 28, 43, 45]] = 1 - new_groups[43, [11, 13, 15, 50, 55, 62, 64]] = 1 - new_groups[44, [1, 6, 14, 20, 21, 31, 35, 39]] = 1 - new_groups[45, [3, 35, 43, 44, 58]] = 1 - return np.array(new_groups, dtype=bool) - -def origami_l3(): - new_groups = onp.zeros((46,274)) - new_groups[0, [11, 25, 33, 80, 87, 119, 125, 126, 130, 131, 133, 162, 163, 191, 197, 199, 203, 216]] = 1 - new_groups[1, [3, 16, 26, 42, 43, 102, 129, 151, 203, 217, 218, 247, 264, 271, 272, 273]] = 1 - new_groups[2, [7, 31, 32, 36, 45, 56, 63, 70, 127, 149, 157, 178, 182, 192, 233, 239, 267, 271]] = 1 - new_groups[3, [2, 5, 45, 68, 88, 121, 130, 136, 137, 148, 165, 181, 194, 210, 212, 229, 236, 272]] = 1 - new_groups[4, [19, 30, 57, 67, 70, 76, 91, 107, 124, 131, 151, 160, 164, 167, 174, 221, 234, 240]] = 1 - new_groups[5, [3, 6, 17, 33, 72, 75, 98, 104, 157, 161, 175, 180, 181, 208, 223, 243, 253, 270]] = 1 - new_groups[6, [2, 22, 33, 34, 38, 42, 61, 128, 145, 156, 168, 169, 171, 173, 176, 193, 219, 255]] = 1 - new_groups[7, [10, 21, 47, 63, 77, 84, 95, 121, 124, 138, 169, 190, 200, 216, 238, 256, 266, 270]] = 1 - new_groups[8, [0, 13, 14, 20, 35, 48, 52, 56, 76, 85, 103, 126, 137, 171, 172, 198, 231, 249]] = 1 - new_groups[9, [34, 39, 58, 71, 73, 76, 81, 83, 120, 133, 135, 141, 143, 144, 210, 233, 253, 256]] = 1 - new_groups[10, [15, 31, 37, 41, 54, 55, 69, 73, 93, 105, 106, 107, 132, 137, 147, 163, 168, 180]] = 1 - new_groups[11, [17, 31, 38, 43, 47, 91, 112, 134, 155, 177, 204, 212, 232, 249, 252, 257, 259, 260]] = 1 - new_groups[12, [19, 26, 28, 44, 46, 50, 68, 77, 85, 109, 127, 152, 177, 180, 241, 245, 248, 262]] = 1 - new_groups[13, [8, 29, 46, 75, 95, 103, 110, 114, 193, 194, 197, 225, 230, 234, 239, 250, 257, 258]] = 1 - new_groups[14, [25, 55, 64, 71, 96, 99, 101, 111, 127, 138, 145, 161, 183, 212, 240, 244, 247, 258]] = 1 - new_groups[15, [29, 41, 49, 52, 67, 113, 115, 139, 141, 181, 192, 202, 203, 207, 211, 219, 220, 248]] = 1 - new_groups[16, [4, 32, 51, 67, 75, 92, 93, 96, 119, 122, 135, 142, 165, 177, 184, 214, 242, 263]] = 1 - new_groups[17, [9, 20, 40, 66, 87, 93, 120, 128, 136, 146, 175, 188, 211, 213, 250, 261, 262, 269]] = 1 - new_groups[18, [1, 26, 48, 69, 71, 91, 108, 140, 148, 186, 223, 224, 228, 230, 261, 267, 268]] = 1 - new_groups[19, [4, 16, 22, 40, 65, 80, 106, 109, 117, 172, 174, 205, 220, 229, 254, 256, 260, 267]] = 1 - new_groups[20, [1, 6, 10, 12, 41, 81, 86, 99, 130, 150, 151, 154, 156, 172, 195, 213, 214, 237]] = 1 - new_groups[21, [14, 18, 53, 69, 97, 117, 119, 128, 155, 179, 183, 189, 200, 218, 233, 234, 236, 237]] = 1 - new_groups[22, [23, 53, 77, 87, 105, 118, 123, 134, 149, 156, 164, 207, 210, 215, 223, 227, 231, 242]] = 1 - new_groups[23, [4, 49, 68, 70, 74, 78, 79, 98, 116, 123, 133, 154, 173, 188, 201, 224, 238, 257]] = 1 - new_groups[24, [8, 15, 34, 44, 56, 97, 100, 115, 123, 153, 160, 184, 186, 195, 209, 247, 251, 252]] = 1 - new_groups[25, [0, 6, 9, 25, 47, 65, 108, 113, 116, 153, 158, 170, 217, 221, 225, 236, 263]] = 1 - new_groups[26, [0, 11, 12, 15, 28, 36, 40, 58, 61, 84, 98, 166, 167, 215, 218, 258, 259, 265]] = 1 - new_groups[27, [59, 72, 79, 86, 94, 107, 125, 144, 145, 166, 182, 189, 190, 231, 248, 251, 260, 264]] = 1 - new_groups[28, [5, 39, 64, 95, 100, 104, 146, 152, 158, 166, 174, 187, 191, 192, 222, 228, 242, 255]] = 1 - new_groups[29, [3, 5, 27, 30, 90, 97, 116, 120, 138, 139, 142, 168, 182, 198, 226, 230, 235, 245]] = 1 - new_groups[30, [17, 36, 53, 62, 78, 81, 89, 103, 111, 131, 158, 176, 184, 196, 211, 226, 266, 272]] = 1 - new_groups[31, [13, 24, 44, 63, 65, 72, 90, 114, 135, 147, 150, 159, 187, 188, 219, 240, 268, 273]] = 1 - new_groups[32, [10, 24, 35, 38, 45, 54, 62, 83, 100, 140, 142, 164, 185, 197, 244, 254, 262, 264]] = 1 - new_groups[33, [7, 14, 30, 42, 49, 84, 88, 92, 109, 132, 134, 144, 161, 170, 187, 199, 209, 213]] = 1 - new_groups[34, [20, 27, 60, 96, 114, 140, 173, 216, 221, 222, 227, 229, 237, 241, 246, 252, 253, 265]] = 1 - new_groups[35, [8, 18, 23, 37, 79, 80, 82, 89, 92, 113, 150, 171, 206, 241, 244, 259, 261, 271]] = 1 - new_groups[36, [9, 51, 57, 59, 74, 82, 85, 88, 90, 104, 143, 195, 207, 232, 239, 254, 265, 266]] = 1 - new_groups[37, [13, 28, 55, 62, 74, 94, 108, 110, 118, 129, 155, 165, 191, 205, 209, 246, 270]] = 1 - new_groups[38, [16, 27, 46, 54, 61, 124, 136, 141, 154, 162, 170, 178, 183, 196, 206, 208, 228, 232]] = 1 - new_groups[39, [18, 48, 50, 58, 59, 64, 66, 102, 118, 122, 147, 157, 194, 196, 199, 220, 235, 238]] = 1 - new_groups[40, [1, 11, 19, 29, 82, 94, 105, 112, 121, 176, 178, 179, 185, 198, 222, 263, 269, 273]] = 1 - new_groups[41, [12, 37, 50, 60, 83, 111, 115, 126, 129, 149, 169, 189, 201, 204, 225, 268, 269]] = 1 - new_groups[42, [22, 39, 78, 101, 125, 132, 153, 185, 200, 202, 206, 214, 215, 235, 243, 246, 249, 250]] = 1 - new_groups[43, [7, 35, 57, 73, 89, 112, 117, 122, 139, 146, 159, 186, 190, 193, 201, 217, 227, 243]] = 1 - new_groups[44, [2, 21, 23, 51, 52, 86, 101, 102, 106, 110, 152, 159, 160, 162, 175, 204, 224, 226]] = 1 - new_groups[45, [21, 24, 32, 43, 60, 66, 99, 143, 148, 163, 167, 179, 202, 205, 208, 245, 251, 255]] = 1 - return np.array(new_groups, dtype=bool) - -def origami_m3(): - new_groups = onp.zeros((22,70)) - new_groups[0, [4, 10, 18, 20, 34, 53, 56, 63, 67, 69]] = 1 - new_groups[1, [2, 6, 11, 27, 30, 31, 35, 56, 59, 64]] = 1 - new_groups[2, [3, 13, 23, 35, 37, 40, 45, 69]] = 1 - new_groups[3, [23, 29, 33, 41, 44, 47, 54, 56, 61, 62]] = 1 - new_groups[4, [3, 9, 10, 11, 15, 50, 52, 61, 66]] = 1 - new_groups[5, [4, 5, 8, 17, 22, 26, 32, 45, 59, 61]] = 1 - new_groups[6, [0, 16, 18, 24, 25, 26, 40, 41, 49, 50]] = 1 - new_groups[7, [1, 4, 7, 21, 31, 37, 43, 50, 57, 62]] = 1 - new_groups[8, [9, 13, 16, 27, 29, 39, 51, 57, 68]] = 1 - new_groups[9, [6, 8, 15, 33, 40, 48, 58, 63, 68]] = 1 - new_groups[10, [1, 8, 10, 12, 14, 30, 41, 55, 65]] = 1 - new_groups[11, [2, 12, 13, 19, 26, 28, 33, 43, 53, 60]] = 1 - new_groups[12, [3, 6, 17, 24, 28, 34, 42, 44, 46, 57]] = 1 - new_groups[13, [0, 1, 5, 20, 28, 35, 36, 54, 66, 68]] = 1 - new_groups[14, [5, 7, 19, 23, 24, 30, 39, 48, 67]] = 1 - new_groups[15, [7, 11, 14, 25, 29, 38, 42, 45, 60, 63]] = 1 - new_groups[16, [14, 15, 18, 19, 21, 36, 46, 47, 51, 59]] = 1 - new_groups[17, [22, 27, 36, 38, 43, 44, 49, 65, 69]] = 1 - new_groups[18, [12, 21, 22, 25, 34, 39, 52, 54, 58, 64]] = 1 - new_groups[19, [0, 2, 9, 32, 37, 42, 47, 58, 65, 67]] = 1 - new_groups[20, [16, 32, 38, 46, 48, 53, 55, 62, 64, 66]] = 1 - new_groups[21, [17, 20, 31, 49, 51, 52, 55, 60]] = 1 - return np.array(new_groups, dtype=bool) - -def origami_m2(): - new_groups = onp.zeros((22,231)) - new_groups[0, [9, 17, 23, 32, 69, 71, 73, 79, 87, 107, 116, 126, 134, 138, 146, 171, 187, 190, 205, 209, 230]] = 1 - new_groups[1, [0, 1, 6, 41, 57, 71, 75, 97, 99, 103, 113, 148, 153, 164, 204, 208, 212, 214, 223, 228, 229]] = 1 - new_groups[2, [1, 25, 26, 32, 33, 35, 43, 44, 54, 56, 60, 61, 62, 67, 86, 123, 137, 183, 217, 218, 227]] = 1 - new_groups[3, [8, 11, 16, 23, 26, 38, 63, 77, 90, 99, 108, 142, 149, 175, 177, 181, 195, 198, 200, 210, 226]] = 1 - new_groups[4, [5, 12, 15, 16, 36, 39, 44, 47, 82, 89, 91, 107, 117, 153, 158, 172, 173, 178, 185, 186, 219]] = 1 - new_groups[5, [2, 7, 22, 30, 68, 76, 81, 104, 106, 113, 120, 123, 142, 144, 151, 152, 186, 187, 188, 192, 193]] = 1 - new_groups[6, [6, 18, 27, 28, 47, 84, 86, 96, 100, 108, 109, 133, 135, 159, 162, 167, 171, 176, 179, 188, 196]] = 1 - new_groups[7, [4, 20, 21, 27, 29, 30, 51, 62, 82, 87, 94, 114, 127, 139, 148, 150, 166, 174, 182, 203, 226]] = 1 - new_groups[8, [45, 53, 59, 60, 81, 90, 93, 110, 111, 112, 122, 145, 150, 158, 168, 176, 194, 206, 209, 212, 215]] = 1 - new_groups[9, [9, 13, 14, 22, 61, 84, 91, 103, 129, 143, 149, 161, 180, 189, 194, 201, 202, 203, 211, 216, 222]] = 1 - new_groups[10, [0, 3, 5, 18, 45, 55, 58, 66, 78, 85, 120, 128, 130, 138, 147, 163, 166, 181, 183, 184, 202]] = 1 - new_groups[11, [7, 35, 38, 58, 74, 98, 111, 114, 118, 131, 154, 157, 179, 190, 191, 199, 201, 213, 219, 225, 228]] = 1 - new_groups[12, [8, 14, 39, 49, 52, 56, 66, 70, 74, 76, 80, 95, 105, 110, 116, 119, 136, 139, 156, 164, 167]] = 1 - new_groups[13, [2, 15, 21, 31, 41, 52, 53, 54, 63, 64, 65, 72, 79, 102, 118, 129, 135, 140, 147, 160, 165]] = 1 - new_groups[14, [49, 77, 83, 85, 93, 100, 102, 106, 115, 117, 121, 132, 137, 170, 182, 191, 197, 205, 214, 216, 220]] = 1 - new_groups[15, [25, 28, 34, 40, 50, 55, 57, 73, 80, 89, 121, 122, 127, 141, 155, 165, 177, 189, 192, 207, 225]] = 1 - new_groups[16, [4, 12, 13, 19, 33, 48, 70, 72, 88, 104, 109, 124, 126, 128, 145, 154, 155, 175, 197, 208, 224]] = 1 - new_groups[17, [10, 24, 29, 48, 50, 64, 92, 112, 133, 134, 136, 152, 163, 169, 170, 173, 195, 199, 204, 222, 227]] = 1 - new_groups[18, [3, 20, 46, 65, 83, 97, 101, 125, 131, 151, 156, 169, 172, 196, 200, 206, 207, 211, 218, 224, 230]] = 1 - new_groups[19, [19, 34, 36, 37, 42, 67, 68, 69, 92, 98, 115, 119, 125, 130, 143, 159, 160, 174, 210, 215, 223]] = 1 - new_groups[20, [10, 17, 37, 46, 94, 105, 124, 132, 140, 141, 157, 162, 168, 180, 184, 185, 193, 198, 217, 221, 229]] = 1 - new_groups[21, [11, 24, 31, 40, 42, 43, 51, 59, 75, 78, 88, 95, 96, 101, 144, 146, 161, 178, 213, 220, 221]] = 1 - return np.array(new_groups, dtype=bool) - - -@gin.configurable -class Origami(group_selector.GroupSelector): - """Pre-computed group patterns.""" - - ORIGAMIS = { - 271: origami_xl5, - 68: origami_l5, - 70: origami_m3, - 231: origami_m2, - 274: origami_l3 - } - - def get_groups(self, rng, state): - fn = self.ORIGAMIS.get(state.num_patients, None) - if fn is None: - raise ValueError(f"No such origami of size {state.num_patients}") - return fn() - diff --git a/grouptesting/group_selectors/random.py b/grouptesting/group_selectors/random.py deleted file mode 100644 index 2e0e853645d..00000000000 --- a/grouptesting/group_selectors/random.py +++ /dev/null @@ -1,238 +0,0 @@ -# coding=utf-8 -# Copyright 2020 The Google Research Authors. -# -# Licensed under the Apache License, Version 2.0 (the "License"); -# you may not use this file except in compliance with the License. -# You may obtain a copy of the License at -# -# http://www.apache.org/licenses/LICENSE-2.0 -# -# Unless required by applicable law or agreed to in writing, software -# distributed under the License is distributed on an "AS IS" BASIS, -# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. -# See the License for the specific language governing permissions and -# limitations under the License. - -# Lint as: python3 -"""Defines several random group selection strategies.""" - -import itertools -from typing import Tuple - -import gin -import jax -import jax.numpy as np -import numpy as onp -import scipy.special - -from grouptesting import utils -from grouptesting.group_selectors import group_selector - - -@gin.configurable -class RandomSelector(group_selector.GroupSelector): - """Selects groups randomly.""" - - def get_groups(self, rng, state): - shape = (state.extra_tests_needed, state.num_patients) - threshold = state.max_group_size / state.num_patients - return jax.random.uniform(rng, shape=shape) < threshold - - -@gin.configurable -class Mezard(group_selector.GroupSelector): - """Selects groups randomly with predefined/adaptive-to-infection-rate size.""" - - def __init__(self, group_size = None): - super().__init__() - self.group_size = group_size - - def get_groups(self, rng, state): - """Produces random design matrix fixed number of 1s per line. - - Args: - rng: np.ndarray[2]: the random key. - state: the current state.State of the system. - - Returns: - A np.array[num_groups, patients]. - """ - if self.group_size is None: - if np.size(state.prior_infection_rate) == 1: - # candidate group sizes - group_sizes = np.arange(state.max_group_size) + 1 - sensitivity = utils.select_from_sizes(state.prior_sensitivity, - group_sizes) - specificity = utils.select_from_sizes(state.prior_specificity, - group_sizes) - rho = specificity + sensitivity - 1 - utility_size_groups = (sensitivity - rho * - (1 - state.prior_infection_rate)**group_sizes - - 0.5)**2 - group_size = group_sizes[np.argmin(utility_size_groups)] - else: - group_size = state.max_group_size - else: - group_size = self.group_size - - group_size = int(np.squeeze(group_size)) - new_groups = np.empty((0, state.num_patients), dtype=bool) - for _ in range(state.extra_tests_needed): - rng, rng_shuffle = jax.random.split(rng, 2) - vec = np.zeros((1, state.num_patients), dtype=bool) - idx = jax.random.permutation(rng_shuffle, np.arange(state.num_patients)) - vec = jax.ops.index_update(vec, [0, idx[0:group_size]], True) - new_groups = np.concatenate((new_groups, vec), axis=0) - return new_groups - - -def macula_matrix(d, k, n): - """Produces d-separable design matrix.""" - # https://core.ac.uk/download/pdf/82758506.pdf - n_groups = int(scipy.special.comb(n, d)) - n_cols = int(scipy.special.comb(n, k)) - new_groups = np.zeros((n_groups, n_cols), dtype=bool) - comb_groups = itertools.combinations(range(n), d) - comb_cols = itertools.combinations(range(n), k) - d_vec = np.zeros((n_groups, n), dtype=bool) - k_vec = np.zeros((n_cols, n), dtype=bool) - for i, comb_g in enumerate(comb_groups): - d_vec[i, comb_g] = True - for j, comb_c in enumerate(comb_cols): - k_vec[j, comb_c] = True - - for i in range(n_groups): - for j in range(n_cols): - new_groups[i, j] = np.all( - np.logical_or(np.logical_not(d_vec[i, :]), k_vec[j, :])) - return new_groups - - -def sample_groups_of_size(shape, group_size): - """Creates a matrix with k rows, of size n with g ones randomly placed.""" - random_groups = onp.zeros(shape, dtype=bool) - num_tests, num_patients = shape - for i in range(num_tests): - random_subset = onp.random.choice(num_patients, group_size, replace=False) - random_groups[i, random_subset] = True - return random_groups - - -@gin.configurable -def count_mean(values_arr): - return onp.mean(values_arr) - - -@gin.configurable -def count_min(values_arr): - return onp.min(values_arr) - - -def eval_disjoint(mat, d, count_fn): - """Evaluates how disjoint a matrix is based on count_fn.""" - num_rows, num_cols = mat.shape - count = 0 - for s in itertools.combinations(range(num_cols), d): - boolean_sum_subset = onp.sum(mat[:, s], axis=1) > 0 - boolean_sum_mat = onp.broadcast_to(boolean_sum_subset[:, None], - (num_rows, num_cols - d)) - complement_subset_mat = onp.delete(mat, s, axis=1) - ng_diag = onp.amax(complement_subset_mat > boolean_sum_mat, axis=0) - count += count_fn(1 * ng_diag) - return count - - -def is_disjoint(mat, d): - """Checks that a matrix is d-disjoint.""" - num_rows, num_cols = mat.shape - for s in itertools.combinations(range(num_cols), d): - boolean_sum_subset = onp.sum(mat[:, s], axis=1) > 0 - boolean_sum_mat = onp.broadcast_to(boolean_sum_subset[:, None], - (num_rows, num_cols - d)) - complement_subset_mat = onp.delete(mat, s, axis=1) - ng_diag = onp.amax(complement_subset_mat > boolean_sum_mat, axis=0) - if not min(ng_diag): - return False - return True - - -def sample_disjoint_matrix(num_cols, - num_rows, - n_max_test, - d, - max_tries=1e2): - """Samples matrix without replacement until disjoint check passes.""" - attempt = 0 - while attempt < max_tries: - attempt += 1 - groups = sample_groups_of_size((num_rows, num_cols), n_max_test) - if is_disjoint(groups, d): - return groups - return None - - -def sample_maxeval_disjoint_matrix(num_cols, - num_rows, - n_max_test, - d, - max_tries=100, - count_fn=count_mean): - """Samples matrices, returns the most count-disjoint matrix.""" - random_groups = sample_groups_of_size((num_rows, num_cols), n_max_test) - count = eval_disjoint(random_groups, d, count_fn=count_fn) - max_count = int(scipy.special.comb(num_cols, d)) - attempt = 0 - while attempt < max_tries and count < max_count: - attempt += 1 - random_groups_iter = sample_groups_of_size((num_rows, num_cols), n_max_test) - count_iter = eval_disjoint(random_groups, d, count_fn=count_fn) - if count_iter > count: - count = count_iter - random_groups = random_groups_iter - if count == max_count: - return random_groups, count - return random_groups, count - - -@gin.configurable -class RandomDisjoint(group_selector.GroupSelector): - """Selects groups randomly with predefined size.""" - - def __init__(self, max_iter=1, method='count', count_fn=count_mean): - super().__init__() - self.max_iter = max_iter - self.method = method - self.count_fn = count_fn - - def get_groups(self, state): - """Produces random design matrix with nmax 1s per line. - - Args: - state: the current state.State of the system. - - Returns: - A np.array[num_groups, patients]. - """ - if self.method == 'single': - new_groups = sample_groups_of_size( - (state.num_patients, state.extra_tests_needed), state.max_group_size) - # if prior_infection_rate is a scalar take average otherwise sum - if np.size(self.prior_infection_rate) == 1: - max_infected = int( - np.ceil(self.prior_infection_rate * state.num_patients)) - elif np.size(self.prior_infection_rate) == state.num_patients: - max_infected = int(np.sum(self.prior_infection_rate)) - - if self.method == 'disjoint': - new_groups = sample_disjoint_matrix(state.num_patients, - state.extra_tests_needed, - state.max_group_size, max_infected, - self.max_iter) - if new_groups is None: - raise ValueError('No satisfying matrix found after max iterations') - if self.method == 'count': - new_groups, _ = sample_maxeval_disjoint_matrix( - state.num_patients, state.extra_tests_needed, state.max_group_size, - max_infected, self.max_iter, self.count_fn) - - return np.array(new_groups) diff --git a/grouptesting/group_selectors/split.py b/grouptesting/group_selectors/split.py deleted file mode 100644 index 499cf5ee883..00000000000 --- a/grouptesting/group_selectors/split.py +++ /dev/null @@ -1,126 +0,0 @@ -# coding=utf-8 -# Copyright 2020 The Google Research Authors. -# -# Licensed under the Apache License, Version 2.0 (the "License"); -# you may not use this file except in compliance with the License. -# You may obtain a copy of the License at -# -# http://www.apache.org/licenses/LICENSE-2.0 -# -# Unless required by applicable law or agreed to in writing, software -# distributed under the License is distributed on an "AS IS" BASIS, -# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. -# See the License for the specific language governing permissions and -# limitations under the License. - -# Lint as: python3 -"""Defines several split group selectors.""" - -from absl import logging -import gin -import jax.numpy as np -import numpy as onp - -from grouptesting.group_selectors import group_selector - - -@gin.configurable -class SplitSelector(group_selector.GroupSelector): - """Split the patients into sub groups.""" - - def __init__(self, split_factor=None): - super().__init__() - self.split_factor = split_factor - - def get_groups(self, rng, state): - if self.split_factor is None: - # if no factor is given by default, we use prior infection rate. - if np.size(state.prior_infection_rate) > 1: - raise ValueError( - 'Dorfman Splitting cannot be used with individual infection rates.'+ - ' Consider using Informative Dorfman instead.') - - # set group size to value defined by Dorfman testing - group_size = 1 + np.ceil(1 / np.sqrt(np.squeeze( - state.prior_infection_rate))) - # adjust to take into account testing limits - group_size = min(group_size, state.max_group_size) - split_factor = -(-state.num_patients // group_size) - else: - # ensure the split factor does not produce groups that are too large - min_splits = -(-state.num_patients // state.max_group_size) - split_factor = np.maximum(self.split_factor, min_splits) - - indices = onp.array_split(np.arange(state.num_patients), split_factor) - new_groups = onp.zeros((len(indices), state.num_patients)) - for i in range(len(indices)): - new_groups[i, indices[i]] = True - return np.array(new_groups, dtype=bool) - - def __call__(self, rng, state): - new_groups = self.get_groups(rng, state) - state.add_groups_to_test( - new_groups, results_need_clearing=True) - return state - - -@gin.configurable -class SplitPositive(group_selector.GroupSelector): - """First looks for previous groups that were tested positive and not cleared. - - Select and split them using split_factor. - """ - - def __init__(self, split_factor=2): - super().__init__() - self.split_factor = split_factor - - def _split_groups(self, groups): - """Splits the groups.""" - # if split_factor is None, we do exhaustive split, - # i.e. we test everyone as in Dorfman groups - use_split_factor = self.split_factor - # make sure this is a matrix - groups = onp.atleast_2d(groups) - n_groups, n_patients = groups.shape - - # we form new groups one by one now. initialize matrix first - new_groups = onp.empty((0, n_patients), dtype=bool) - for i in range(n_groups): - group_i = groups[i, :] - # test if there is one individual to test - if np.sum(group_i) > 1: - indices, = np.where(group_i) - if self.split_factor is None: - use_split_factor = np.size(indices) - indices = onp.array_split(indices, use_split_factor) - newg = onp.zeros((len(indices), n_patients)) - for j in range(len(indices)): - newg[j, indices[j]] = 1 - new_groups = onp.concatenate((new_groups, newg), axis=0) - return np.array(new_groups, dtype=bool) - - def get_groups(self, rng, state): - if np.size(state.past_groups) > 0 and np.size(state.to_clear_positives) > 0: - to_split = state.past_groups[state.to_clear_positives, :] - # we can only split groups that have more than 1 individual - to_split = to_split[np.sum(to_split, axis=-1) > 1, :] - if np.size(to_split) > 0: - if np.ndim(to_split) == 1: - to_split = onp.expand_dims(to_split, axis=0) - # each group indexed by indices will be split in split_factor terms - return self._split_groups(to_split) - else: - logging.info('only singletons') - - def __call__(self, rng, state): - new_groups = self.get_groups(rng, state) - - if new_groups is not None: - state.add_groups_to_test(new_groups, - results_need_clearing=True) - state.update_to_clear_positives() - - else: - state.all_cleared = True - return state diff --git a/grouptesting/images/demo_colab.png b/grouptesting/images/demo_colab.png deleted file mode 100644 index f66f7d5ecfed1361257cf1d5be54d18b6efbdc40..0000000000000000000000000000000000000000 GIT binary patch literal 0 HcmV?d00001 literal 346976 zcmZ^~1ymf*vN*hpySoP`XmFQ6@Zj$5?#^Pt5?n)Y3+`@<1(!f@cZbCt{^WPxyYHU& zzHjR6*_rOH>guYR>h9{ANF@a+R3suK004k0BQ2o<0Kh=retZaUZzb~7=YaqK(l2Xq zaU~gXaSA0DM+<8^a{xd(GC37qEpY)0boTms5QY~4N}9}|_|%#-2`zob{Six={sS!x zE-_^^V|8AHbPdzGibQtXXLEwCji1Ks>K;IVyQh>9@;v>?Gjk^KK2iIp8FK8gz 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