Lectures related to Untitled | EPFL Graph Search

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

Explores generalization error in machine learning, focusing on data distribution and hypothesis impact.

Explores proof concepts, techniques, and applications in logic, mathematics, and algorithms.

Explores optimal transport in heat equations and metric spaces.

Covers the Zig Zag Lemma and the long exact sequence of relative homology.

Explains the Wronskian and its role in determining linear independence of solutions to differential equations.

Explores finding particular solutions for homogeneous differential equations, emphasizing linear independence and variation of constants.

Delves into Ruelle resonances for linear pseudo-Anosov maps, highlighting their importance in dynamical systems theory.

Explores linear similarities and similitudes, demonstrating their properties and applications in geometry.

Covers the concept of outer measure and properties of measurable sets.

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

Covers the concept of graph sketching with a focus on connected components.

Covers the multivariate normal distribution, properties, and sampling methods.

Explores convergence in law for random variables, including Kolmogorov's theorem and proofs based on probability lemmas.

Explores harmonic forms on Riemann surfaces and the uniqueness of solutions to harmonic equations.

Explores fundamental groups, homotopy classes, and coverings in connected manifolds.

Explores fundamental solutions in partial differential equations, highlighting their significance in mathematical applications.

Explains compression and Kraft inequality in codes and sequences.

Explores the composition of applications in mathematics and the importance of understanding their properties.