Optimal Transport Courses and Certifications

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

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

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

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

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

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

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

Society for Industrial and Applied Mathematics

Computational Optimal Transport - A Mini Tutorial

Overview of novel approaches to compute optimal transport, blending recent techniques including convex optimization, automatic differentiation, and neural networks for large-scale approximations in high-dimensional regimes.

• YouTube
• 2 hours 12 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

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

ICTP Mathematics

Optimal Transportation, Monge-Ampère Equations and Riemannian Ricci Bounds - Lecture 3

Explore geometric measure theory and optimal transport with a focus on Monge-Ampère equations and Riemannian Ricci bounds in this advanced mathematics lecture by L. Ambrosio.

• YouTube
• 1 hour 40 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