Optimal Transport Summer School 2022

In summer of 2022, we will be hosting a summer school in Optimal Transport at the University of Washington

Conditional Sampling with Block-Triangular Transport Maps

Generative models such as Generative Adversarial Nets (GANs), Variational Autoencoders and Normalizing Flows have been very successful in the unsupervised learning task of generating samples from a high-dimensional probability distribution. However, …

Finite sample rates for optimal transport estimation problems

The theory of optimal transport (OT) gives rise to distance measures between probability distributions that take the geometry of the underlying space into account. OT is often used in the analysis of point cloud data, for example in domain adaptation …

Entropic Regularization of Optimal Transport and Applications (Online)

The Banff International Research Station will host the "Entropic Regularization of Optimal Transport and Applications" workshop in Banff from June 20 to June 25, 2021.

Optimal transport and stochastic processes in developmental biology

The CMS is organizing three-hour mini-courses to be held Friday June 4th. One of these courses will be on "Optimal Transport and Stochastic Processes on Developmental Biology". This course may be of interest to the KI community.

Remarks on multi-marginals entropic optimal transport and Sinkhorn algorithm

Entropic optimal transport has received a lot of attention in recent years and has become a popular framework for computational optimal transport thanks to the Sinkhorn scaling algorithm. In this talk, I will discuss the multi-marginal case which …

Searching for the most likely evolution

The theory of large deviations provides with a way to compute asymptotically the probability that an interacting particle system moves from a given configuration to another one over a fixed time interval. The problem of finding the most likely …

Stochastic Optimal Transport, Control Theory, and PDEs

The optimal transport problem provides a fundamental and quantitative way to measure the distance between probability distributions. Recently, it has been successfully used to analyze the evolutionary dynamics in physics and biology. Motivated by …

PIHOT Kickoff Event

The kickoff event for PIHOT (the Pacific Interdisciplinary hub on Optimal Transport) will take place on Jan 29-30th, 2021. Please see below for a tentative schedule and connection instructions.

Asymptotics of Entropy Regularized Optimal Transport via Chaos Decomposition

Consider the problem of finding the optimal coupling (or matching) between two i.i.d. samples from respective two densities on Euclidean spaces. For both computational efficiency and smoothness, this discrete problem is usually regularized by an …