What do Variational Autoencoders (VAEs), Diffusion Models behind generative AI and fuzzy clustering have in common? The answer lies in a single, elegant framework for fitting probability distributions to data.
We’ll show how to fit complex data with a mixture model. We’ll be using an energy-based formulation, drawing surprising analogies from thermodynamics. Discover the variational inequalities that form the mathematical backbone of these diverse methods, from the classic Expectation-Maximization algorithm to the cutting-edge models that generate stunning images from noise.