Stochastic Encoder and Decoders¶
An autoencoder \(x\) where the encoder and decoder is defined in therms of an latent variable model:
\[\begin{split}
p_{\text{encoder}}(h|x) = p_{\text{model}}(h|x) \\
p_{\text{decoder}}(x|h) = p_{\text{model}}(x|h)
\end{split}\]
\(p_{\text{model}}(h,x)\) is the latent variable model