The Madgrad package is an R port of the original madgrad by Aaron Defazio and Samy Jelassi. See the Arxiv paper for details on the method.
Madgrad is not yet on CRAN. The development version from GitHub can be installed with:
This is a small example showing how to use madgrad with torch to minimize a function, of course, madgrad is not the best algorithm for this task and should work better for neural network training.
library(madgrad)
library(torch)
torch_manual_seed(1)
f <- function(x, y) {
log((1.5 - x + x*y)^2 + (2.25 - x - x*(y^2))^2 + (2.625 - x + x*(y^3))^2)
}
x <- torch_tensor(-5, requires_grad = TRUE)
y <- torch_tensor(-2, requires_grad = TRUE)
opt <- optim_madgrad(params = list(x, y), lr = 0.1)
for (i in 1:100) {
opt$zero_grad()
z <- f(x, y)
z$backward()
opt$step()
}
x
#> torch_tensor
#> 2.2882
#> [ CPUFloatType{1} ]
y
#> torch_tensor
#> 0.2412
#> [ CPUFloatType{1} ]