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*}

Emacs 29.4 (Org mode 9.6.15)