Regularity Theory for Area-Minimizing Currents - Lecture 5
Explore advanced concepts in geometric measure theory, focusing on regularity theory for area-minimizing currents. Gain insights from experts De Lellis and Spadaro in this in-depth lecture.
Introduction to the Riemannian Curvature Dimension Condition - Lecture 3
Explore advanced concepts in Riemannian geometry with Prof. Gigli, focusing on the Curvature Dimension condition and its applications in non-smooth settings.
Introduction to the Riemannian Curvature Dimension Condition - Lecture 2
Explore advanced concepts in Riemannian geometry with Prof. Gigli, focusing on the Curvature Dimension condition and its applications in non-smooth settings.
Introduction to the Riemannian Curvature Dimension Condition - Lecture 1
Explore the Riemannian Curvature Dimension condition with Professor Nicola Gigli, delving into advanced mathematical concepts for graduate-level understanding of non-smooth geometry.
Learning From Ranks, Learning to Rank - Jean-Philippe Vert, Google Brain
Explore differentiable approaches to integrate permutations, sorting, and ranking in machine learning, focusing on embedding techniques and relaxation of ranking operators.
Optimal Transport of Matrix-Valued Measures - SIAM PDE Seminar
Explore optimal transport of matrix-valued measures, inspired by incompressible Euler equations. Discover a matricial analogue of Hellinger-Kantorovich metric spaces in this advanced mathematical seminar.
Entropic Optimal Transport - Eighteenth SIAM Activity Group on FME Virtual Talk
Explore entropic regularization in optimal transport with Marcel Nutz. Learn about convergence, local behavior, and applications in high-dimensional data problems.
Mathematical Framework and Numerical Aspects of Adapted Optimal Transport
Explore mathematical frameworks for transfer learning and numerical aspects of adapted optimal transport in financial mathematics and engineering through expert talks from leading researchers.
Quantum Dynamics and Optimal Transport
Explore quantum dynamics and optimal transport with François Golse, discussing the application of Monge's theory to quantum states and its implications for mean-field and classical limits in quantum mechanics.
Dual of the Dual Formula for Distance in Noncommutative Geometry
Explore Connes's spectral distance and its dual formula in noncommutative geometry, extending Kantorovich's and Beckmann's concepts from optimal transport theory.
Differentiating in a Non-Differentiable Environment
Explore differentiation in non-differentiable spaces, extending beyond traditional smooth manifolds to spaces with Ricci curvature bounds. Gain insights into advanced mathematical concepts.
Synthetic Time-like Ricci Curvature Lower Bounds: The Isoperimetric Inequality
Explore synthetic timelike Ricci curvature lower bounds and their implications for isoperimetric inequality in Lorentzian synthetic spaces.
A Sharp Isoperimetric-Type Inequality for Lorentzian Spaces Satisfying Time-Like Ricci Curvature Lower Bounds
Explore sharp isoperimetric-type inequalities in Lorentzian spaces with time-like Ricci curvature bounds, including applications to black holes and cosmological space-times.
Likelihood Training of Schrödinger Bridge Using Forward-Backward SDEs Theory
Explore likelihood training of Schrödinger Bridge using Forward-Backward SDEs theory for deep generative modeling, offering mathematical flexibility and optimization principles.
Optimal Transport and High Dimensional Probability - Introduction to Optimal Transport
Explore optimal transport theory and its applications in high-dimensional probability, focusing on fundamental concepts and recent developments in this mathematical field.
Optimal Transport and High Dimensional Probability in Wasserstein Spaces
Explore optimal transport theory and high-dimensional probability in Wasserstein spaces, delving into advanced mathematical concepts and their applications.
Optimal Transport and High-Dimensional Probability - Functional Inequalities and Concentration of Measure
Explore functional inequalities, concentration of measure, and transport inequalities in high-dimensional probability, including sub-Gaussian variables and the entropy method.
Optimal Transport and High-Dimensional Probability - Langevin Dynamics via Calculus
Explore optimal transport, high-dimensional probability, and Langevin dynamics through advanced calculus techniques in this mathematical deep dive.
Optimal Transport and High-Dimensional Probability - Otto's Calculus on Wasserstein Space
Explore optimal transport and high-dimensional probability through Otto's Calculus on Wasserstein spaces, delving into advanced mathematical concepts and their applications.
Invariant Integrated Convexity Profiles for Hamilton-Jacobi-Bellman Equations
Explore invariant integrated convexity profiles for Hamilton-Jacobi-Bellman equations in this mathematical conference talk by Giovanni Conforti, delving into PDE and probability interactions.
Minimal Surfaces and the Isoperimetric Inequality
Explore the generalization of the isoperimetric inequality to submanifolds in Euclidean space, focusing on minimal submanifolds and their sharp isoperimetric properties.