Past Events

We discuss issues arising from methodological developments related to inverse probability weighting and model-based prediction with non-probability survey samples, with focuses on the validity of estimation procedures and the impact of key...

It was proposed in the works of Reid in the mathematics literature and Candelas-Green-Hubsch in the string theory literature to connect Calabi-Yau threefolds with different topologies by a process which degenerates 2-cycles and introduces new 3...

A good way to understand the structure of a finite group is through its representations. The family of representations of a group on a fixed field has several properties: it is closed by finite direct sums, by tensor products, it contains the dual...

The main task of causal discovery is to learn direct causal relationships among observed random variables. These relationships are usually depicted via a directed graph whose vertices are the variables of interest and whose edges represent direct...

Physics-Informed Neural Networks (PINNs) have received much attention recently due to their potential for high-performance computations for complex physical systems, including data-based computing, systems with unknown parameters, and others. However...

Fluid-structure interaction (FSI) is ubiquitous in nature and occurs at molecular to environmental scales, from the writhing of DNA in nucleoplasm, to the beating of cilia and flagella and the projection of lamellipodia and bleb-like protrusions by...

In what will hopefully become a department tradition, the first colloquium of the year this Friday will consist of introductions of ten new post-doctoral fellows who have joined the department in the past few months. Each PDF will give a 5-minute...

For centuries, mathematicians have relied on computers to perform calculations, to suggest conjectures, and as components of mathematical proofs. In the light of more modern tools such as interactive theorem provers, machine learning algorithms, and...

Transportation of measure underlies many powerful, contemporary tools for Bayesian inference, density estimation, and generative modeling. The essential idea is to couple the target probability distribution with a simple, tractable ``reference''...

Using Banach’s contractive principle and Leray–Schauder’s fixed point theorem, we study the uniqueness and existence for a new nonlinear fractional differential equation with functional boundary condition based on the two-parameter Mittag-Leffler...