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X-WR-CALDESC:Events for Claremont Center for the Mathematical Sciences
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DTSTART;TZID=America/Los_Angeles:20260216T160000
DTEND;TZID=America/Los_Angeles:20260216T170000
DTSTAMP:20260610T141625
CREATED:20260121T185928Z
LAST-MODIFIED:20260121T190217Z
UID:3968-1771257600-1771261200@colleges.claremont.edu
SUMMARY:Explainability and Analysis of Variance (Zijun Gao\, USC)
DESCRIPTION: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 of variance and Sobol’s indices)\, which assumes independent explanatory variables\, to dependent explanations by using a directed acyclic graphs to describe their causal relationship. Therefore\, this explanability measure directly incorporates causal mechanisms by construction. Under a comonotonicity assumption\, we discuss methods for estimating counterfactual explainability and apply them to a real dataset dataset to explain income inequality by gender\, race\, and educational attainment. \nBio: Zijun Gao is a tenure-track assistant professor in the Department of Data Sciences and Operations at USC Marshall Business School. She received her Ph.D. in Statistics from Stanford University in 2022 supervised by Professor Trevor Hastie. She served as a research associate in the Statistical Lab at the University of Cambridge from 2022 to 2023 hosted by Professor Qingyuan Zhao. Her research focuses on the estimation and inference problems in causal inference with heterogeneity\, with side interests in distribution learning\, selective inference\, and model evaluation. She also works on real-world data motivated topics\, with a specific emphasis on the applications in adaptive clinical trial and personalized medication.
URL:https://colleges.claremont.edu/ccms/event/explainability-and-analysis-of-variance-zijun-gao-usc/
LOCATION:Emmy Noether Room\, Estella 1021\, Pomona College\,\, 610 N. College Ave.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Applied Math Seminar
ORGANIZER;CN="Ryan Aschoff":MAILTO:ryan.aschoff@cgu.edu
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DTSTART;TZID=America/Los_Angeles:20260217T121500
DTEND;TZID=America/Los_Angeles:20260217T131000
DTSTAMP:20260610T141625
CREATED:20260121T181315Z
LAST-MODIFIED:20260211T173037Z
UID:3964-1771330500-1771333800@colleges.claremont.edu
SUMMARY:Summer of Math Discovery: Two research projects on combinatorial polytopes (Andrés R. Vindas Meléndez\, HMC)
DESCRIPTION: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 from the convex hulls of stack-sorting on particular permutations. The second project deals with the study of symmetric edge polytopes of a finite simple graph\, a centrally symmetric lattice polytope whose vertices are defined by the edges of the graph. Both projects studied the (Euclidean\, relative\, or normalized) volumes of the respective combinatorially defined polytope.
URL:https://colleges.claremont.edu/ccms/event/antc-talk-andres-r-vindas-melendez-hmc/
LOCATION:Estella 2099
CATEGORIES:Algebra / Number Theory / Combinatorics Seminar
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DTSTART;TZID=America/Los_Angeles:20260219T161500
DTEND;TZID=America/Los_Angeles:20260219T171500
DTSTAMP:20260610T141625
CREATED:20260216T012258Z
LAST-MODIFIED:20260216T012258Z
UID:4005-1771517700-1771521300@colleges.claremont.edu
SUMMARY:Analysis Seminar: Choquet simplices of groups and C*-algebras (Itamar Vigdorovich\, UCSD)
DESCRIPTION: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. \nSimplices arise naturally in various fields of mathematics: the space of invariant probability measures of a dynamical system is a simplex\, and so is the space of tracial states on a C*-algebra. In the group case\, the simplex of characters provides a framework for a non-commutative Fourier transform. \nI will also discuss results and phenomena for traces of free products\, fundamental groups of surfaces\, Kazhdan groups\, and related classes.
URL:https://colleges.claremont.edu/ccms/event/analysis-seminar-choquet-simplices-of-groups-and-c-algebras-itamar-vigdorovich-ucsd/
LOCATION:Estella 2099\, Pomona College\, 610 N. College Ave.\, Claremont\, CA\, United States
CATEGORIES:Analysis Seminar
ORGANIZER;CN="Asuman Aksoy":MAILTO:asuman.aksoy@claremontmckenna.edu
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BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20260220T110000
DTEND;TZID=America/Los_Angeles:20260220T121500
DTSTAMP:20260610T141625
CREATED:20260110T220450Z
LAST-MODIFIED:20260211T174926Z
UID:3948-1771585200-1771589700@colleges.claremont.edu
SUMMARY:CCMS Colloquium: Mary Lou Zeeman (Bowdoin College)
DESCRIPTION:CCMS Colloquium invites you to a talk by Mary Lou Zeeman (Bowdoin College)\n\n \nTitle: A new framework for studying transient reactivity in two-dimensional systems.\n \nAbstract: 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 in the long-term. This counter-intuitive phenomenon of transient amplification is called reactivity. It is especially important in ecological resilience and other applications where disturbances of a system may be transiently magnified to undesirable levels. In this talk we introduce a new framework for analyzing reactivity in two-dimensional linear systems of ODEs. While the eigenstructure of the system captures the long-term dynamics\, we use the new framework to define an orthostructure\, dual to the eigenstructure\, that captures transient reactivity dynamics of the system. By interweaving the eigen- and ortho-structures\, we are able to exactly quantify the maximum disturbance amplification possible.\n \nBio: Mary Lou Zeeman is the Wells Johnson Professor of Mathematics at Bowdoin College.  Her research is in dynamical systems with applications to biology\, sustainability and resilience. She is known for collaboratively building cross-disciplinary research communities focused on the health of the planet. She helped found and co-lead the Mathematics and Climate Research Network\, the Computational Sustainability Network and the SIAM Activity Group on Mathematics of Planet Earth. \n 
URL:https://colleges.claremont.edu/ccms/event/ccms-colloquium-mary-lou-zeeman-bowdoin-college/
LOCATION:Davidson Lecture Hall\, CMC\, 340 E 9th St\, Claremont\, CA\, 91711\, United States
CATEGORIES:Colloquium
ORGANIZER;CN="Sam Nelson":MAILTO:snelson@cmc.edu
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