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DTSTART;TZID=America/Los_Angeles:20230227T161500
DTEND;TZID=America/Los_Angeles:20230227T171500
DTSTAMP:20260417T202021
CREATED:20221011T224115Z
LAST-MODIFIED:20230816T040643Z
UID:2958-1677514500-1677518100@colleges.claremont.edu
SUMMARY:Applied Math Seminar: Michael Perlmutter (UCLA)
DESCRIPTION:Title:Geometric Scattering on Measure Spaces \nAbstract:\nGeometric Deep Learning is an emerging field of research that aims to extend the success of convolutional neural networks (CNNs) to data with non-Euclidean geometric structure. Despitebeing in its relative infancy\, this field has already found great success in many applications such as recommender systems\, computer graphics\, and traffic navigation. In order to improve our understanding of the networks used in this new field\, several works have proposed novelversions of the scattering transform\, a wavelet-based model of CNNs for graphs\, manifolds\,and more general measure spaces. In a similar spirit to the original Euclidean scattering transform\, these geometric scattering transforms provide a mathematically rigorous framework for understanding the stability and invariance of the networks used in geometric deep learning.Additionally\, they also have many interesting applications such as drug discovery\, solving combinatorial optimization problems\, and predicting patient outcomes from single-cell data. In particular\, motivated by these applications to single-cell data\, I will also discuss recent work proposing a diffusion maps style algorithm with quantitative convergence guarantees for implementing the manifold scattering transform from finitely many samples of an unknown manifold.
URL:https://colleges.claremont.edu/ccms/event/applied-math-seminar-michael-perlmutter-ucla/
LOCATION:Claremont\, CA\, 91711\, United States
CATEGORIES:Applied Math Seminar
ORGANIZER;CN="Heather Zinn Brooks":MAILTO:hzinnbrooks@g.hmc.edu
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BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20230301T161500
DTEND;TZID=America/Los_Angeles:20230301T173000
DTSTAMP:20260417T202021
CREATED:20230122T181703Z
LAST-MODIFIED:20230220T192135Z
UID:3041-1677687300-1677691800@colleges.claremont.edu
SUMMARY:Watch your step: Modeling on Time Scales (Prof. Raegan Higgins\, Texas Tech University)
DESCRIPTION:Title: Watch your step: Modeling on Time Scales \nSpeaker: Raegan Higgins\, Department of Mathematics & Statistics\, Texas Tech University \nAbstract: Generally\, differential and difference equations are used in the mathematical modeling of physical systems. Our modeling approach uses dynamic equations on time scales. A time scale T is an arbitrary\, nonempty\, closed subset of the real numbers. While introducing the calculus on time scales\, we will give an application of time scales to oncology. We will discuss developing specific models and the related preliminary results and analysis. \n\n\n\n\n\nRaegan Higgins didn’t always love math. In her eyes\, it was a class that everyone had to take. It wasn’t\nchallenging\, nor was it easy; it just was. Upon placing out of Pre-Algebra in middle school\, Raegan entered Algebra which quickly became her adversary. With little Pre-Algebra background\, she struggled in the course she called “The Land of Unknowns.” But\, with a very encouraging no-nonsense teacher and parents who only asked for their daughter’s best\, Raegan excelled in Algebra and became an aspiring\nmathematician. \nIn 2008\, Raegan was one of the first two African Americans to earn a doctoral degree in Mathematics from the University of Nebraska- Lincoln. She had officially become a mathematician. In that same year\, she joined the faculty at Texas Tech University. Her primary research focuses on determining conditions in which solutions to differential-like equations eventually stay positive or negative. While also interested in applications of time scales (nonempty subsets of the real numbers)\, Dr. Higgins has a keen interest in increasing the number of women\, especially those underrepresented\, in STEM and improving the undergraduate preparation of mathematics majors. Her service mission is to support communities historically excluded from STEM by creating and supporting programs that increase visibility\, amplify the voices of women and people of color\, and foster community and share resources. Raegan serves as\ncodirector of the EDGE (Enhancing Diversity in Graduate Education) Summer Program and cofounder and cocreator of the website Mathematically Gifted and Black.
URL:https://colleges.claremont.edu/ccms/event/prof-raegan-higgins/
LOCATION:Argue Auditorium\, Pomona College\, 610 N. College Ave.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Colloquium
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BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20230302T163000
DTEND;TZID=America/Los_Angeles:20230302T173000
DTSTAMP:20260417T202021
CREATED:20230302T165631Z
LAST-MODIFIED:20230302T165631Z
UID:3090-1677774600-1677778200@colleges.claremont.edu
SUMMARY:The Fell topology and the modular Gromov-Hausdorff propinquity (Jiahui Yu\, Pomona College)
DESCRIPTION:Given a unital AF (approximately finite-dimensional) algebra A equipped with a faithful tracial state\, we equip each (norm-closed two-sided) ideal of A with a metrized quantum vector bundle structure\, when canonically viewed as a module over A\, in the sense of Latrémolière using previous work of Aguilar and Latrémolière. Moreover\, we show that convergence of ideals in the Fell topology implies convergence of the associated metrized quantum vector bundles in the modular Gromov-Hausdorff propinquity of Latrémolière. In a similar vein but requiring a different approach\, given a compact metric space (X\,d)\, we equip each ideal of C(X) with a metrized quantum vector bundle structure\, and show that convergence in the Fell topology implies convergence in the modular Gromov-Hausdorff propinquity. (This is joint work with Konrad Aguilar).
URL:https://colleges.claremont.edu/ccms/event/the-fell-topology-and-the-modular-gromov-hausdorff-propinquity-jiahui-yu-pomona-college/
LOCATION:Roberts North 105\, CMC\, 320 E. 9th St.\, Claremont\, CA\, 91711\, 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:20230304T100000
DTEND;TZID=America/Los_Angeles:20230304T120000
DTSTAMP:20260417T202021
CREATED:20230218T054802Z
LAST-MODIFIED:20230218T054802Z
UID:3083-1677924000-1677931200@colleges.claremont.edu
SUMMARY:GEMS March 4th Session
DESCRIPTION:
URL:https://colleges.claremont.edu/ccms/event/gems-march-4th-session/
LOCATION:Harvey Mudd College at the Shanahan Teaching and Learning Center\, 301 Platt Blvd.\, Claremont\, CA\, 91711\, United States
CATEGORIES:GEMS
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