Optimal Transport Courses and Certifications

Centre International de Rencontres Mathématiques

Optimal Transport for Graphs: Definitions and Applications to Graph-Signal Processing

Explore optimal transport for graphs, including definitions and applications to graph-signal processing. Gain insights from Nicolas Courty's expert perspective.

• YouTube
• 55 minutes
• Self-Paced
• Free Video

Institut Henri Poincaré

Statistical Estimation of Optimal Transport Potentials

Explorez les méthodes statistiques pour estimer les potentiels de transport optimal et leurs applications en analyse de données.

• YouTube
• 51 minutes
• Self-Paced
• 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
• Self-Paced
• 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
• Self-Paced
• Free Video

ICTP Mathematics

Introduction to Optimal Transportation and Monge Ampère Type Equations - Lecture 2

Explore optimal transportation and Monge Ampère equations, covering key concepts like super differentials, isoperimetric problems, and probability measures in this advanced mathematics lecture.

• YouTube
• 1 hour 58 minutes
• Self-Paced
• Free Video

ICTP Mathematics

Optimal Transportation, Monge-Ampère Equations and Riemannian Ricci Bounds - Lecture 1

Explore optimal transportation, Monge-Ampère equations, and Riemannian Ricci bounds in this advanced mathematics lecture by L. Ambrosio from Scuola Normale Superiore di Pisa.

• YouTube
• 1 hour 48 minutes
• Self-Paced
• Free Video

Institute for Pure & Applied Mathematics (IPAM)

Schrödinger Bridges: Old and New - Part 1

Delve into the mathematics of Schrödinger bridges with Tryphon Georgiou as he explores their theory, applications, and connection to concepts like relative entropy, likelihood estimation, and optimal mass transport.

• YouTube
• 1 hour 22 minutes
• Self-Paced
• Free Video

Fields Institute

Lipschitz Continuity of Diffusion Transport Maps and Exponential Convergence of Sinkhorn's Algorithm via Creation of Log-Semiconcavity Along Heat Flows

Explore advanced mathematical theory connecting diffusion transport maps' Lipschitz properties with Sinkhorn algorithm convergence through heat flow analysis.

• YouTube
• 30 minutes
• Self-Paced
• Free Video

Fields Institute

Worst-Case Generation via Minimax Optimization in Wasserstein Space

Explore minimax optimization techniques in Wasserstein space for worst-case generation problems through advanced optimal transport theory and stochastic projections.

• YouTube
• 33 minutes
• Self-Paced
• Free Video

Fields Institute

Wasserstein Projections in the Convex Order

Explore Wasserstein projections and their applications in convex order theory through advanced optimal transport techniques and stochastic analysis methods.

• YouTube
• 54 minutes
• Self-Paced
• Free Video

Fields Institute

Coupling via Pathwise Time Reversal

Explore advanced mathematical techniques connecting optimal transport theory with stochastic processes through pathwise time reversal methods in this specialized research presentation.

• YouTube
• 35 minutes
• Self-Paced
• Free Video

Fields Institute

Shape-Constrained Density Estimation with Wasserstein Projection

Explore advanced statistical methods using optimal transport theory to estimate probability densities while preserving geometric constraints and structural properties.

• YouTube
• 33 minutes
• Self-Paced
• Free Video

Institute for Pure & Applied Mathematics (IPAM)

Gromov-Wasserstein Alignment: Statistics, Computation, and Geometry

Delve into the Gromov-Wasserstein problem for optimal alignment of metric measure spaces, exploring statistical convergence rates, computational tractability, and geometric applications in data alignment.

• YouTube
• 57 minutes
• Self-Paced
• Free Video

Institute for Pure & Applied Mathematics (IPAM)

Learning to Optimize Transport Plans

Dive into optimal transport distances and their regularized versions as tools for comparing probability measures, with a focus on amortized optimization for transport plans.

• YouTube
• 50 minutes
• Self-Paced
• Free Video

Institute for Pure & Applied Mathematics (IPAM)

Near-Linear Runtime for a Classical Matrix Preconditioning Algorithm

Dive into the theoretical advancements of Osborne's matrix balancing algorithm, exploring its near-linear runtime guarantees and connections to optimal transport problems in modern computational applications.

• YouTube
• 55 minutes
• Self-Paced
• Free Video