Abstract: Existing tools for explaining complex models and systems are associational rather than causal and do not provide mechanistic understanding. We propose a new notion called counterfactual explainability for causal […]
This is a talk in two parts covering two projects that the speaker mentored over the summer of 2025. The first project deals with the study of polytopes that arise […]
Abstract: Let C be a compact convex set (in a locally convex topological vector space). By Choquet’s theorem, every point in C is the barycenter of a probability measure supported on the extreme points. When this representing measure is unique, C is called a simplex. Simplices arise naturally in various fields of mathematics: the space […]
CCMS Colloquium invites you to a talk by Mary Lou Zeeman (Bowdoin College) Title: A new framework for studying transient reactivity in two-dimensional systems. Abstract: Even if a linear system of ordinary differential equations (ODEs) has a globally attracting equilibrium, solutions of the ODEs may grow arbitrarily large in the short-term before returning to the equilibrium […]
CCMS Colloquium invites you to a talk by Harrison Li (HMC) Title: Precise analysis of blocked randomized experiments Abstract: I recently finished a multi-year project with collaborators analyzing a blocked randomized experiment to evaluate the effectiveness of a government job training program for unemployment insurance (UI) recipients in Rhode Island. In presenting the results, I will focus […]
Abstract: We present a new approach for deriving structure-preserving numerical discretizations of Fokker-Planck equations by establishing a connection between the Fokker-Planck equation and its semi-discrete master equation at the level of the energy-dissipation law. We determine the transition rate in the master equation via the detailed balance condition and the spatial discretization of the continuous […]
The classical Siegel's lemma (1929) asserts the existence of a nontrivial integer solution to an underdetermined integer homogeneous linear system, whose "size" is small as compared to the size of the coefficients of the system. Far-reaching generalizations of this theorem, producing a full basis for the solution space, were obtained over number fields by Bombieri […]
CCMS Colloquium invites you to a talk by Lihong Zhao (Kennesaw State University) Title: Capturing heterogeneity in malaria transmission: an age-structured model with immune feedback and seasonality Abstract: Malaria remains a major global health burden, causing more than 600,000 deaths and over 249 million cases globally each year. Heterogeneity in malaria transmission is a critical factor that […]
This GEMS session will be facilitated by Robbie Tran from Claremont Graduate University. Title: Formulating Equations as a Medium for Digital Art and Design Abstract: As we can utilize letters and words to write out mathematics (e.g. 2+2=4 can be written as “two plus two is equal to four”), this session seeks to explore the […]
Abstract: The Shapley value is a ubiquitous framework for attribution in machine learning, encompassing feature importance, data valuation, and causal inference. However, its exact computation is generally intractable, necessitating efficient approximation methods. While the most effective and popular estimators leverage the paired sampling heuristic to reduce estimation error, the theoretical mechanism driving this improvement has […]
Hecke algebras play a central role in both number theory and representation theory. While some Hecke algebras have explicit descriptions in terms of generators and relations, others are understood through structure constants that encode multiplicities in tensor products of representations. In this talk, I will discuss several projects with Thibaud van den Hove and Jakob […]
No lecture today. Quantitative and Computing Lab (QCL) Math Club Pi Day celebration at Claremont McKenna College at Kravis Lower Court from 11am to 12:30pm.
