[00966] Theoretical and computational advances in measure transport
Abstract : Transportation of measures is an important topic in applied mathematics based on constructing invertible transformations between random variables. These transformations can include deterministic maps, plans and stochastic processes. In recent years, this broad topic has seen wide applications for generative modeling, inference, and comparing probability distributions. Despite these successes, efficiently constructing these transformations remains challenging, especially in high-dimensional problems with complex data manifolds. This minisymposium will present novel statistical analysis and computational methods that widen the breadth of transport methods in statistics and scientific computing applications.
