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/* Variational Auto-Encoder on MNIST.
The implementation is based on:
https://github.com/pytorch/examples/blob/master/vae/main.py
The 4 following dataset files can be downloaded from http://yann.lecun.com/exdb/mnist/
These files should be extracted in the 'data' directory.
train-images-idx3-ubyte.gz
train-labels-idx1-ubyte.gz
t10k-images-idx3-ubyte.gz
t10k-labels-idx1-ubyte.gz
*/
use anyhow::Result;
use tch::{nn, nn::Module, nn::OptimizerConfig, Kind, Reduction, Tensor};
struct VAE {
fc1: nn::Linear,
fc21: nn::Linear,
fc22: nn::Linear,
fc3: nn::Linear,
fc4: nn::Linear,
}
impl VAE {
fn new(vs: &nn::Path) -> Self {
VAE {
fc1: nn::linear(vs / "fc1", 784, 400, Default::default()),
fc21: nn::linear(vs / "fc21", 400, 20, Default::default()),
fc22: nn::linear(vs / "fc22", 400, 20, Default::default()),
fc3: nn::linear(vs / "fc3", 20, 400, Default::default()),
fc4: nn::linear(vs / "fc4", 400, 784, Default::default()),
}
}
fn encode(&self, xs: &Tensor) -> (Tensor, Tensor) {
let h1 = xs.apply(&self.fc1).relu();
(self.fc21.forward(&h1), self.fc22.forward(&h1))
}
fn decode(&self, zs: &Tensor) -> Tensor {
zs.apply(&self.fc3).relu().apply(&self.fc4).sigmoid()
}
fn forward(&self, xs: &Tensor) -> (Tensor, Tensor, Tensor) {
let (mu, logvar) = self.encode(&xs.view([-1, 784]));
let std = (&logvar * 0.5).exp();
let eps = std.randn_like();
(self.decode(&(&mu + eps * std)), mu, logvar)
}
}
// Reconstruction + KL divergence losses summed over all elements and batch dimension.
fn loss(recon_x: &Tensor, x: &Tensor, mu: &Tensor, logvar: &Tensor) -> Tensor {
let bce = recon_x.binary_cross_entropy::<Tensor>(&x.view([-1, 784]), None, Reduction::Sum);
// See Appendix B from VAE paper:
// Kingma and Welling. Auto-Encoding Variational Bayes. ICLR, 2014
// https://arxiv.org/abs/1312.6114
// 0.5 * sum(1 + log(sigma^2) - mu^2 - sigma^2)
let kld = -0.5 * (1i64 + logvar - mu.pow_tensor_scalar(2) - logvar.exp()).sum(Kind::Float);
bce + kld
}
// Generate a 2D matrix of images from a tensor with multiple images.
fn image_matrix(imgs: &Tensor, sz: i64) -> Result<Tensor> {
let imgs = (imgs * 256.).clamp(0., 255.).to_kind(Kind::Uint8);
let mut ys: Vec<Tensor> = vec![];
for i in 0..sz {
ys.push(Tensor::cat(&(0..sz).map(|j| imgs.narrow(0, 4 * i + j, 1)).collect::<Vec<_>>(), 2))
}
Ok(Tensor::cat(&ys, 3).squeeze_dim(0))
}
pub fn main() -> Result<()> {
let device = tch::Device::cuda_if_available();
let m = tch::vision::mnist::load_dir("data")?;
let vs = nn::VarStore::new(device);
let vae = VAE::new(&vs.root());
let mut opt = nn::Adam::default().build(&vs, 1e-3)?;
for epoch in 1..21 {
let mut train_loss = 0f64;
let mut samples = 0f64;
for (bimages, _) in m.train_iter(128).shuffle().to_device(vs.device()) {
let (recon_batch, mu, logvar) = vae.forward(&bimages);
let loss = loss(&recon_batch, &bimages, &mu, &logvar);
opt.backward_step(&loss);
train_loss += f64::from(&loss);
samples += bimages.size()[0] as f64;
}
println!("Epoch: {}, loss: {}", epoch, train_loss / samples);
let s = Tensor::randn(&[64, 20], tch::kind::FLOAT_CPU).to(device);
let s = vae.decode(&s).to(tch::Device::Cpu).view([64, 1, 28, 28]);
tch::vision::image::save(&image_matrix(&s, 8)?, format!("s_{}.png", epoch))?
}
Ok(())
}
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