Optimal Transport Courses and Certifications

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

Simons Institute

Stable Matching by Optimal Transport

Explore matching models with aligned preferences, focusing on supply-demand imbalances in markets like organ donation. Learn about stability, fairness, and optimal transport connections in matching theory.

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

VinAI

Optimal Transport for Distributionally Robust Optimization and Applications in Machine Learning

Explore optimal transport in distributionally robust optimization, focusing on its applications in machine learning, distribution shifts, and responsible AI. Gain insights into solving challenging optimization problems.

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

Applied Algebraic Topology Network

Trajectory Inference in Wasserstein Space

Explore advanced trajectory inference methods using Wasserstein geometry and B-spline approximation for analyzing dynamic processes in computational biology and point cloud data.

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

Institute for Mathematical Sciences

Optimal Transport and High-Dimensional Probability

Explore functional inequalities, convergence of flows, and logconcavity of probability measures in high-dimensional spaces through optimal transport theory.

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

Institute for Mathematical Sciences

Optimal Transport and High Dimensional Probability - Gradient Flows on Wasserstein Space

Explore gradient flows on Wasserstein spaces, connecting optimal transport theory with high-dimensional probability concepts for advanced mathematical insights.

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

Institut Henri Poincaré

Computational Optimal Transport: Mature Tools and Open Problems

Explore computational optimal transport's advancements, applications in 3D shape analysis, and open challenges. Gain insights into state-of-the-art tools for efficient distribution analysis and geometric data processing.

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

Centre International de Rencontres Mathématiques

Path Constrained Unbalanced Optimal Transport

Explore path constrained unbalanced optimal transport with Nicolas Charon, delving into geometric statistics and shape analysis applications.

• YouTube
• 43 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

Centre International de Rencontres Mathématiques

Merging Rate of Opinions via Optimal Transport on Random Measures

Explore optimal transport on random measures to analyze opinion merging rates, focusing on Bayesian statistics applications in mathematical research.

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

Centre International de Rencontres Mathématiques

Weak Limits for Entropic Optimal Transport - Part II

Explore weak limits for entropic optimal transport, covering parametric cases, duality, proofs, and connections to improved CLT and convex optimization.

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

VinAI

Supervised Quantile Normalization for Matrix Factorization Using Optimal Transport

Explore advanced matrix factorization techniques using optimal transport for quantile normalization. Learn applications in dimensionality reduction and genomics from expert Marco Cuturi.

• YouTube
• 1 hour 20 minutes
• On-Demand
• Free Video

Institute for Pure & Applied Mathematics (IPAM)

Non-commutative Optimal Transport - Spring 2025

Explore non-commutative optimal transport's applications in AI, quantum physics, and electronic structure theory. Delve into evolution equations, Wasserstein distances, and computational algorithms for density operators.

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

Conference GSI

The Total Variation Wasserstein Problem - A New Derivation of the Euler-Lagrange Equations

Explore a novel derivation of Euler-Lagrange equations for the Total Variation Wasserstein problem, advancing understanding in mathematical optimization and transport theory.

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

BIMSA

Entropic Optimal Transport: Convergence Rates and ODE Characterization

Explore recent advances in entropic optimal transport, focusing on convergence rates and a novel ODE-based numerical method for multi-marginal problems. Gain insights into theoretical bounds and practical applications.

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