Past Events

Recently, Sherry et al. (2024) reconsidered the pioneering work of Dahlquist and Jeltsch (1979) on circle-contractivity for the study of neural networks. This theory can be used to analyse and improve the robustness of architectures that are devised...

For many optimization problems, we lack time-efficient algorithms; in many cases this is true even for "average-case" inputs from simple data models. To what extent can tools for complexity theory be adapted to this average-case setting? In this talk...

TBA

The classical McKay correspondence shows that there is a bijection between irreducible representations of finite subgroups GG of S L ( 2 , C )SL(2,C) and the exceptional divisors of the minimal resolution of the singularity C 2 / GC2/G. This is a...

A classical theorem of Birch and Merriman states that, for fixed n the set of integral binary n -ic forms with fixed nonzero discriminant breaks into finitely many G L 2 ( Z ) -orbits. In this talk, I’ll present several extensions of this finiteness...

Denoising Diffusion models have revolutionized generative modeling. Conceptually, these methods define a transport mechanism from a noise distribution to a data distribution. Recent advancements have extended this framework to define transport maps...

Schubert polynomials concretely embody the remarkable connection between the geometry of the flag variety G L ( n ) / B and the combinatorics of the symmetric group. This talk will develop similar story for the forest polynomials recently introduced...

In this talk, we study a variational problem that provides a way to extend minimizing geodesics connecting two given probability measures in the Wasserstein space for all times. This is achieved by allowing negative coefficients in the classical...

Shape analysis is a framework for treating complex data and obtain metrics on spaces of data. Examples are spaces of unparametrized curves, time-signals, surfaces and images. In this talk we discuss structure preservation and deep learning for...

Life is a nonequilibrium phenomenon where nonlocal processes play a prominent and increasingly important role. Nonlocal models have emerged as a robust mathematical framework for capturing interactions across spatial and temporal scales in the life...