Schrödinger Bridges Courses and Certifications

Fields Institute

Diffusion Approximation to Schrödinger Bridges on Manifolds

Explore diffusion approximations for Schrödinger bridges on manifolds through advanced mathematical techniques and optimal transport theory applications.

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

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Schrödinger Bridge with Transport Relaxation

Explore transport-relaxed Schrödinger bridges by penalizing marginal constraints, deriving duality formulas, and implementing gradient ascent and Sinkhorn algorithms.

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

Institute for Pure & Applied Mathematics (IPAM)

Schrödinger Bridges - Classical and Quantum

Explore Schrödinger bridges in classical and quantum contexts, their applications to Markov chains and quantum channels, and their solutions for probability distributions and state evolutions.

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

Centre for Networked Intelligence, IISc

An Overview of Entropy-Regularized Optimal Transport and Schrödinger Bridges

Delve into entropy-regularized optimal transport theory and Schrödinger bridges, exploring applications in statistics, data science, and generative AI, with insights from physics, stochastic processes, and PDEs.

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

Institute for Pure & Applied Mathematics (IPAM)

Schrödinger Bridges: Old and New - Part 2 of 2

Delve into the mathematics of non-commutative Schrödinger bridges with Tryphon Georgiou, exploring theoretical foundations and potential applications as an extension of his work on classical Schrödinger bridges.

• YouTube
• 1 hour 9 minutes
• On-Demand
• Free Video

Valence Labs

Improving and Generalizing Flow-Based Generative Models with Minibatch Optimal Transport

Explore advanced techniques for improving continuous normalizing flows, including generalized conditional flow matching and optimal transport CFM, enhancing generative modeling for various applications.

• YouTube
• 1 hour 17 minutes
• On-Demand
• Free Video

Valence Labs

Likelihood Training of Schrödinger Bridge Using Forward-Backward SDEs Theory

Explore likelihood training of Schrödinger Bridge using Forward-Backward SDEs theory for deep generative modeling, offering mathematical flexibility and optimization principles.

• YouTube
• 1 hour 8 minutes
• On-Demand
• Free Video

Centre International de Rencontres Mathématiques

Numerical Methods, Uncertainty Quantification, and Optimal Transport Theory - CEMRACS 2022

Master advanced mathematical methods including kinetic equations, Schrödinger bridges, evolutionary adaptation models, and optimal transport theory through expert lectures.

• YouTube
• 15 hours 10 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

Uncertainty in Artificial Intelligence

Deep Learning Advances in Uncertainty and Generative Modeling - Session 1

Explore cutting-edge deep learning research, including Bayesian methods, generative modeling, visual concept programming, conformal regression, and heteroskedastic regression analysis.

• YouTube
• 2 hours 3 minutes
• On-Demand
• Free Video

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

How to Optimize a Schrödinger Bridge

Explore optimization techniques for Schrödinger Bridge problems, focusing on a novel geometric framework and Sinkhorn algorithm variants for efficient solutions in AI and diffusion models.

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

Valence Labs

Learning Stochastic Dynamics from Snapshots through Regularized Unbalanced Optimal Transport

Discover how to reconstruct continuous stochastic dynamics from sparse time-resolved snapshots using deep learning and regularized unbalanced optimal transport methods.

• YouTube
• 1 hour 6 minutes
• On-Demand
• Free Video

Valence Labs

Modeling Complex System Dynamics with Flow Matching Across Time and Conditions

Discover Multi-Marginal Flow Matching for modeling complex system dynamics across time and experimental conditions, with applications in gene regulation and single-cell genomics data imputation.

• YouTube
• 1 hour 13 minutes
• On-Demand
• Free Video

INI Seminar Room 2

Tree-Based Diffusion Schrödinger Bridge with Applications to Wasserstein Barycenters

Delve into advanced mathematical concepts of Tree-Based Diffusion Schrödinger Bridge and its applications in Multi-marginal Optimal Transport, focusing on high-dimensional settings and Wasserstein barycenters.

• YouTube
• 1 hour 17 minutes
• On-Demand
• Free Video