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DTSTART;TZID=America/Los_Angeles:20210920T161500
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DTSTAMP:20260422T041415
CREATED:20210903T174347Z
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SUMMARY:Applied Math Seminar -- Phil Chodrow (UCLA)
DESCRIPTION:Title: Eigenvector Methods for Community Detection in Hypergraphs \nAbstract: \n\n\nHypergraphs are generalizations of graphs in which edges are allowed to contain arbitrary numbers of nodes. Hypergraphs are well-suited for modeling complex data sets with multi-body interactions. Familiar examples include email threads with multiple participants\, projects with multiple collaborators\, and forum posts with multiple tags. \nThe hypergraph community detection problem asks us to find groups of related or similar entities in hypergraph data. While there are many approaches to this problem\, I’ll focus on methods that rely on matrix eigenvectors. I’ll give a quick illustration of how eigenvector methods work in the graph case\, and explain the roadblocks to extending these standard methods for hypergraphs. I’ll then describe the Hashimoto operator\, a matrix that smoothly generalizes for hypergraphs. I’ll present a theorem for speeding up eigenvector calculations with this matrix\, and discuss detection algorithms that use these eigenvectors. I’ll touch on the relationship between the Hashimoto operator and belief-propagation for statistical inference\, using this relationship to obtain a performant hypergraph community detection algorithm. I’ll discuss the phase transition separating success from failure for this detection algorithm. I’ll close by posing some conjectures on the fundamental limits of community detection in hypergraphs.
URL:https://colleges.claremont.edu/ccms/event/applied-math-seminar-phil-chodrow-ucla/
LOCATION:Emmy Noether Room\, Estella 1021\, Pomona College\,\, 610 N. College Ave.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Applied Math Seminar
ORGANIZER;CN="Heather Zinn Brooks":MAILTO:hzinnbrooks@g.hmc.edu
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DTSTART;TZID=America/Los_Angeles:20210921T123000
DTEND;TZID=America/Los_Angeles:20210921T131000
DTSTAMP:20260422T041415
CREATED:20210831T205637Z
LAST-MODIFIED:20210906T215314Z
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SUMMARY:The magic of the number three: three explanatory proofs in abstract algebra (Gizem Karaali\, Pomona)
DESCRIPTION:When first learning how to write mathematical proofs\, it is often easier for students to work with statements using the universal quantifier. Results that single out special cases might initially come across as more puzzling or even mysterious. Explanatory proofs\, in the sense of Steiner\, transform what might initially seem mysterious or even magical into lucid mathematics. In this talk we explore three specific statements from abstract algebra that involve the number three\, whose proofs are explanatory. This is joint work with Samuel Yih PO’18.
URL:https://colleges.claremont.edu/ccms/event/antc-seminar-gizem-karaali-pomona/
LOCATION:On Zoom
CATEGORIES:Algebra / Number Theory / Combinatorics Seminar
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DTSTART;TZID=America/Los_Angeles:20210921T150000
DTEND;TZID=America/Los_Angeles:20210921T160000
DTSTAMP:20260422T041415
CREATED:20210914T225152Z
LAST-MODIFIED:20210914T225937Z
UID:2338-1632236400-1632240000@colleges.claremont.edu
SUMMARY:Topology Seminar -- Sam Nelson
DESCRIPTION:Sam Nelson will wow us with his maths.
URL:https://colleges.claremont.edu/ccms/event/topology-seminar/
LOCATION:Zoom meeting\, United States
CATEGORIES:Topology Seminar
ORGANIZER;CN="Helen Wong":MAILTO:hwong@cmc.edu
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DTSTART;TZID=America/Los_Angeles:20210922T163000
DTEND;TZID=America/Los_Angeles:20210922T174500
DTSTAMP:20260422T041415
CREATED:20210817T140933Z
LAST-MODIFIED:20210817T141610Z
UID:2198-1632328200-1632332700@colleges.claremont.edu
SUMMARY:Quantitative Approaches to Social Justice (Prof. Chad Topaz)
DESCRIPTION:Title: Quantitative Approaches to Social Justice \nProf. Chad Topaz (he/him/his)\nCo-Founder and Executive Director of Research\, QSIDE Institute\nProfessor of Mathematics\, Williams College \nAbstract: Civil rights leader\, educator\, and investigative journalist Ida B. Wells said that “the way to right wrongs is to shine the light of truth upon them.” This talk will demonstrate how quantitative and computational approaches can shine a light on social injustices and help build solutions to remedy them. We will present quantitative social justice projects on topics ranging from diversity in art museums to equity in criminal sentencing to affirmative action\, health care access\, and other fields. The tools engaged include crowdsourcing\, data cleaning\, clustering\, hypothesis testing\, statistical modeling\, Markov chains\, data visualization\, and much more. I hope that this talk leaves you informed about the breadth of social justice applications that one can tackle using mathematical and data science tools in careful collaboration with other scholars and activists. \nProf. Chad Topaz (he/him/his) is the co-Founder and Executive Director of Research at the QSIDE Institute which promote the quantitative study of inclusion\, diversity\, and equity. He is also a Professor of Mathematics\, Williams College. \nThis colloquium will be virtual and a Zoom link will be distributed via the CCMS Email list.
URL:https://colleges.claremont.edu/ccms/event/prof-chad-topaz/
LOCATION:Zoom meeting\, United States
CATEGORIES:Colloquium
ORGANIZER;CN="Andrew Bernoff":MAILTO:ajb@hmc.edu
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