the Dirichlet distribution does: distribution over probability simplices

Markov chain Monte Carlo

MCMC samples from complex posterior distributions

List of unsolved problems in mathematics

Random points in high dimensions are nearly equidistant due to the uniform distribution of volume in high-dimensional space

Softmax function

Softmax converts real numbers into a probability distribution

Stable Diffusion

Stable Diffusion generates images from text descriptions

Cross-entropy H(p,q) = -Σ p(x) log q(x) measures how well q approximates p

Cross-entropy H(p,q) = -Σ p(x) log q(x) quantifies approximation quality between distributions p and q

Langevin dynamics does: adds noise to gradient descent to sample from a distribution

Langevin dynamics adds noise to gradient descent to sample from a distribution