Lectures related to Untitled | EPFL Graph Search

Covers distributions, derivatives, convergence, and continuity criteria in function spaces.

Explores the evolution of the distribution function describing particles in phase space.

Explores Bourgain's theorem on sparsest cut in graphs, emphasizing semimetrics and cut optimization.

Covers weak solutions in the finite element method, emphasizing continuity and the Cauchy-Schwarz inequality.

Explores diffusion models, focusing on generating samples from a distribution and the importance of denoising in the process.

Explores the Exponential Family distribution, covering entropy, energy, and moments.

Explores the Rockafellar Theorem in optimal transport, focusing on c-cyclical monotonicity and convex functions.

Covers the concept of convex functions and their applications in optimization problems.

Covers the KKT conditions for optimization with constraints, essential for solving constrained optimization problems efficiently.