sgd is an R package for large scale estimation. It features many stochastic gradient methods, built-in models, visualization tools, automated hyperparameter tuning, model checking, interval estimation, and convergence diagnostics.
At the core of the package is the function
sgd(formula, data, model, model.control, sgd.control)
It estimates parameters for a given data set and model using stochastic gradient
descent. The optional arguments model.control and sgd.control specify
attributes about the model and stochastic gradient method. Taking advantage of
the bigmemory package, sgd also operates on data sets which are too large to fit
in RAM as well as streaming data.
Example of large-scale linear regression:
library(sgd)
# Dimensions
N <- 1e5 # number of data points
d <- 1e2 # number of features
# Generate data.
X <- matrix(rnorm(N*d), ncol=d)
theta <- rep(5, d+1)
eps <- rnorm(N)
y <- cbind(1, X) %*% theta + eps
dat <- data.frame(y=y, x=X)
sgd.theta <- sgd(y ~ ., data=dat, model="lm")
Any loss function may be specified. For convenience the following are built-in:
- Linear models
- Generalized linear models
- Method of moments
- Generalized method of moments
- Cox proportional hazards model
- M-estimation
The following stochastic gradient methods exist:
- (Standard) stochastic gradient descent
- Implicit stochastic gradient descent
- Averaged stochastic gradient descent
- Averaged implicit stochastic gradient descent
- Classical momentum
- Nesterov's accelerated gradient
Check out the vignette in vignettes/ or examples in demo/.
In R, the equivalent commands are vignette(package="sgd") and
demo(package="sgd").
To install the latest version from CRAN:
install.packages("sgd")
To install the latest development version from Github:
# install.packages("devtools")
devtools::install_github("airoldilab/sgd")
sgd is written by Dustin Tran, Junhyung Lyle Kim and Panos Toulis. Please feel free to contribute by submitting any issues or requests—or by solving any current issues!
We thank all other members of the Airoldi Lab (led by Prof. Edo Airoldi) for their feedback and contributions.
@article{tran2015stochastic,
author = {Tran, Dustin and Toulis, Panos and Airoldi, Edoardo M},
title = {Stochastic gradient descent methods for estimation with large data sets},
journal = {arXiv preprint arXiv:1509.06459},
year = {2015}
}