Gaussian
Figure 1: Gaussian samples from pseudo-uniform samples (Created with Manim)

Gaussian
Figure 2: Erdos-Renyi Random Graph. Construction of a hub as the E[deg(v_i)] approaches 1.

No context #1

\[\nabla_\phi \mathbb{E}_{q(\mathbf{z}|\phi)}\left[ f(\mathbf{z}) \right] ~=~ \mathbb{E}_{q(\mathbf{z}|\phi)}\,[ f(\mathbf{z})\, \nabla_{\phi} \log q(\mathbf{z}|\phi) ]\]

No context #2

\[\,\,\, f(x^{(k)}) - f^\star \leq \frac{\|x^{(0)} - x^\star\|^2}{2tk}\]