Wasserstein Distances Courses and Certifications

Applied Algebraic Topology Network

Wasserstein Distances, Geodesics and Barycenters of Merge Trees

Explore computational frameworks for merge trees, including Wasserstein distances, geodesics, and barycenters. Learn efficient algorithms and applications in visualization, feature tracking, and ensemble clustering.

• YouTube
• 1 hour 4 minutes
• On-Demand
• Free Video

Applied Algebraic Topology Network

Universality of Persistence Diagrams and Bottleneck & Wasserstein Distances

Explore the mathematical foundations of persistence diagrams and their associated metrics, focusing on universality properties and distance calculations in topological data analysis.

• YouTube
• 28 minutes
• On-Demand
• Free Video

Institut Henri Poincaré

Some Bounds for the Wasserstein Distance Between the Empirical Measure

Explorez les limites de la distance de Wasserstein entre la mesure empirique, en approfondissant les concepts mathématiques avancés et leurs applications statistiques.

• YouTube
• 35 minutes
• On-Demand
• Free Video

Institute for Pure & Applied Mathematics (IPAM)

Order p Quantum Wasserstein Distances from Couplings

Explore quantum Wasserstein distances through a new definition using coupling methods and metrics for pure states, with applications in quantum information theory, complexity metrics, and generative adversarial networks.

• YouTube
• 50 minutes
• On-Demand
• Free Video

Fields Institute

Optimal Transportation, Geometry and Dynamics

Explore advanced mathematical theory connecting optimal transport problems with geometric structures and dynamical systems through 24 comprehensive lectures from Fields Institute.

• YouTube
• 1 day 9 hours 39 minutes
• On-Demand
• Free Video

Hausdorff Center for Mathematics

Optimal Transportation - Junior Trimester Program

Explore advanced mathematical concepts in optimal transportation theory through expert lectures covering gradient flows, large deviations, and geometric analysis applications.

• YouTube
• 2 days 7 minutes
• On-Demand
• Free Video

Institute for Pure & Applied Mathematics (IPAM)

Wasserstein Distributionally Robust Optimization - Theory and Applications in Machine Learning

Explore Wasserstein distributionally robust optimization theory and its applications in machine learning, focusing on data-driven decision-making under uncertainty and statistical learning.

• YouTube
• 1 hour 1 minute
• On-Demand
• Free Video

International Centre for Theoretical Sciences

Analysis of Mean-Field Games - Lecture 1

Explore static mean-field games, Nash equilibria, and convergence theorems in large symmetric systems. Learn key concepts and proofs in this advanced applied probability lecture.

• YouTube
• 1 hour
• On-Demand
• Free Video

Alan Turing Institute

Regularization for Optimal Transport and Dynamic Time Warping Distances - Marco Cuturi

Explore regularization techniques for optimal transport and dynamic time warping distances, focusing on smoothing strategies to enhance machine learning applications and Fréchet mean computation.

• YouTube
• 44 minutes
• On-Demand
• Free Video

Institute for Pure & Applied Mathematics (IPAM)

Dynamics of Density Operators - 2025

Explore non-commutative optimal transport theory and quantum dynamics through expert lectures on density operators, Wasserstein distances, and gradient flows in quantum settings.

• YouTube
• 15 hours 59 minutes
• On-Demand
• Free Video

Hausdorff Center for Mathematics

Quantitative Uniform Propagation of Chaos for Maxwell Molecules

Explores propagation of chaos in Kac's N-particle system for Maxwell molecules, using probabilistic coupling techniques and recent stabilization results to establish uniform-in-time estimates.

• YouTube
• 47 minutes
• On-Demand
• Free Video

Applied Algebraic Topology Network

Barycenters and a Law of Large Numbers in Gromov Hyperbolic Spaces

Explore barycenters in Gromov hyperbolic spaces, examining contraction properties and a law of large numbers for convex optimization applications in metric spaces.

• YouTube
• 51 minutes
• On-Demand
• Free Video

Applied Algebraic Topology Network

Why Should Q=P in the Wasserstein Distance Between Persistence Diagrams?

Explore Wasserstein distance in persistence diagrams, focusing on q=p choice. Covers geometric implications, stability results, algebraic versions, and computational advantages for central tendencies.

• YouTube
• 1 hour 4 minutes
• On-Demand
• Free Video

Applied Algebraic Topology Network

Washington Mio - Stable Homology of Metric Measure Spaces

Explore stable homology in metric measure spaces, covering Wasserstein distance, local homology stability, and applications in data analysis and taxonomic classification.

• YouTube
• 58 minutes
• On-Demand
• Free Video

Society for Industrial and Applied Mathematics

Optimal Transport for Inverse Problems and Implicit Regularization

Exploring optimal transport theory for inverse problems, addressing nonconvexity and noise sensitivity in least-squares methods, with applications in industry and broader data-fitting challenges.

• YouTube
• 1 hour 11 minutes
• On-Demand
• Free Video