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
• On-Demand
• 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
• 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

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
• On-Demand
• 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
• On-Demand
• Free Video

International Centre for Theoretical Sciences

Particle Methods for Optimization Over Measures - Lecture 2

Explore particle methods for measure optimization, focusing on theoretical foundations and practical applications in data science and machine learning.

• YouTube
• 2 hours 19 minutes
• On-Demand
• Free Video

Paul G. Allen School

Statistical Applications of Wasserstein Gradient Flows

Explore statistical applications of Wasserstein gradient flows in optimal transport, covering Otto calculus, Riemannian structures, and applications to variational inference and Gaussian mixture models.

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

International Centre for Theoretical Sciences

Particle Methods for Optimization Over Measures - Lecture 3

Explore particle methods for measure optimization in this advanced lecture, covering theoretical foundations and practical applications in data science and machine learning.

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

Institute for Pure & Applied Mathematics (IPAM)

The Brownian Transport Map - IPAM at UCLA

Explore Lipschitz transport maps between probability measures, focusing on the Brownian transport map's construction, properties, and applications to Euclidean functional inequalities.

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

Hausdorff Center for Mathematics

Blaschke-Santalo Inequality for Many Functions and Geodesic Barycenters of Measures

Explore geodesic barycenters and generalized Blaschke-Santalo inequality, deriving entropy bounds for Kantorovich cost in optimal transportation theory.

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

Valence Labs

Transport, Variational Inference and Diffusions

Explore connections between optimal transport and variational inference, focusing on stochastic differential equations and Girsanov transformations. Discover novel sampling and generative modeling techniques.

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

Valence Labs

A Computational Framework for Solving Wasserstein Lagrangian Flows

Explore a computational framework for solving Wasserstein Lagrangian flows, covering optimal transport variations and applications in single-cell trajectory inference.

• YouTube
• 1 hour 32 minutes
• On-Demand
• Free Video

Finnish Center for Artificial Intelligence FCAI

Fast Geometric Libraries for Vision and Data Sciences

Explore fast geometric computations for point clouds, optimal transport, and shape analysis. Learn about efficient tools for vision and data sciences, with applications in medical imaging and beyond.

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

Centre International de Rencontres Mathématiques

On the Concave One-Dimensional Random Assignment Problem: Kantorovich Meets Young

Explore the concave one-dimensional random assignment problem, bridging Kantorovich and Young's theories in this mathematical conference talk by Dario Trevisan.

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