Toy Problems
A list of toy problems/environments helpful to understand certain methods/concepts.
Regression with latent categorical variable
\begin{align*}
X \sim \mathcal{N}(0,1) \\
Z \sim Cat(\sigma(X), 1-\sigma(X))\\
Y \sim \mathcal{N}(w^Tf(Z),\sigma_y^2)
\end{align*}