• GEMS February 7th Session

    Shanahan B450, Harvey Mudd College 301 Platt Blvd., Claremont, United States

    This GEMS session will be facilitated by Professor Teal Witter from Claremont McKenna College. Title: Who Can Write Down the Bigger Number? Abstract: If you had fifteen seconds to write […]

  • A BKM-type criterion for the 3D incompressible Euler equations (Mustafa Aydin, USC)

    Emmy Noether Room, Estella 1021, Pomona College, 610 N. College Ave., Claremont, CA, United States

    Abstract: The three-dimensional incompressible Euler equations describe the motion of an ideal fluid, yet the mechanisms that govern the possible loss of regularity of smooth solutions remain only partially understood. A classical result of Beale, Kato, and Majda shows that if a smooth solution breaks down in finite time, then the time integral of the […]

  • Analysis Seminar: Generalized Elmendorf’s Theorem in Context (Sofía Martínez Alberga, Bryn Mawr College)

    Estella 2099, Pomona College 610 N. College Ave., Claremont, CA, United States

    Abstract: In general, the objective of algebraic topology is to classify spaces using some algebraic invariants or up to some notion of equivalence. In the area of equivariant homotopy theory, the goal is the same but now spaces equipped with a group action are considered and algebraic invariants of choice are homotopy groups. It turns […]

  • CCMS Colloquium: Sofia Martinez Alberga (Bryn Mawr College)

    Davidson Lecture Hall, CMC 340 E 9th St, Claremont, CA, United States

    CCMS Colloquium invites you to a talk by Sofia Martinez Alberga (Bryn Mawr College) Title: Stay in the Loop and Fun Group Abstract: In this talk, we will discuss the goal of […]

  • Explainability and Analysis of Variance (Zijun Gao, USC)

    Emmy Noether Room, Estella 1021, Pomona College, 610 N. College Ave., Claremont, CA, United States

    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 attribution that is motivated by the concept of genetic heritability in twin studies. Counterfactual explainability extends methods for global sensitivity analysis (including the functional analysis […]

  • Analysis Seminar: Choquet simplices of groups and C*-algebras (Itamar Vigdorovich, UCSD)

    Estella 2099, Pomona College 610 N. College Ave., Claremont, CA, United States

    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: Mary Lou Zeeman (Bowdoin College)

    Davidson Lecture Hall, CMC 340 E 9th St, Claremont, CA, United States

    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: Harrison Li (HMC)

    Davidson Lecture Hall, CMC 340 E 9th St, Claremont, CA, United States

    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 […]

  • Structure-Preserving Discretizations for Fokker–Planck Equations via the Energy Dissipation Law (Satish Chandran, UCR)

    Emmy Noether Room, Estella 1021, Pomona College, 610 N. College Ave., Claremont, CA, United States

    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 […]

  • An Odd Estimator for Shapley Values (Teal Witter, CMC)

    Emmy Noether Room, Estella 1021, Pomona College, 610 N. College Ave., Claremont, CA, United States

    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 […]