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X-WR-CALNAME:Claremont Center for the Mathematical Sciences
X-ORIGINAL-URL:https://colleges.claremont.edu/ccms
X-WR-CALDESC:Events for Claremont Center for the Mathematical Sciences
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DTSTART;TZID=America/Los_Angeles:20261102T161500
DTEND;TZID=America/Los_Angeles:20261102T171500
DTSTAMP:20261007T205549Z
CREATED:20261007T204617Z
LAST-MODIFIED:20261007T205549Z
UID:10002365-1793636100-1793639700@colleges.claremont.edu
SUMMARY:In-Context Kernel Ridge Regression with Transformers (Mingsong Yan\, UCSB)
DESCRIPTION:Large language models (LLMs) can use examples provided in a prompt to make predictions for new queries without updating their parameters\, a capability known as in-context learning. In this talk\, I will explore how transformers\, the architectural backbone of many LLMs\, can perform nonlinear kernel ridge regression (KRR). I will first present numerical observations showing that transformers pretrained on regression tasks match KRR predictions more closely as depth increases. Motivated by these observations\, I will present a theoretical construction showing how a transformer can approximate the Gaussian KRR predictor through an intuitive connection to a convergent iterative solver. This construction has a natural interpretation: successive transformer layers approximate steps of the solver\, progressively refining the solution to the underlying kernel system. Together\, these results provide theoretical and empirical insights into in-context learning with transformers for nonlinear regression.
URL:https://colleges.claremont.edu/ccms/event/in-context-kernel-ridge-regression-with-transformers/
LOCATION:Estella 1021 (Emmy Noether Room)\, Pomona College\, Claremont\, CA\, 91711\, United States
CATEGORIES:Applied Math Seminar
ORGANIZER;CN="Ami Radunskaya":MAILTO:aradunskaya@pomona.edu
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BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20261103T121500
DTEND;TZID=America/Los_Angeles:20261103T131000
DTSTAMP:20261029T165717Z
CREATED:20261029T165717Z
LAST-MODIFIED:20261029T165717Z
UID:10002375-1793708100-1793711400@colleges.claremont.edu
SUMMARY:Models of elliptic curves with maximal 2-adic image subject to a rational 2-isogeny ( Roberto Hernandez\, UC Irvine)
DESCRIPTION:Let $E$ be a non-CM elliptic curve defined over $\mathbb{Q}$. We present models of curves that have 2-adic image as large as possible\, given the constraint that they have a rational 2-isogeny. These curves are known to be generic\, and one of the aims of this article is to make that fact explicit. Our techniques make use of modular curves and their $j$-maps\, as well as classification results on isogeny-graphs that have appeared in the literature recently.
URL:https://colleges.claremont.edu/ccms/event/models-of-elliptic-curves-with-maximal-2-adic-image-subject-to-a-rational-2-isogeny-roberto-hernandez-uc-irvine/
LOCATION:Estella 1021 (Emmy Noether Room)\, Pomona College\, Claremont\, CA\, 91711\, United States
CATEGORIES:Algebra / Number Theory / Combinatorics Seminar
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DTSTART;TZID=America/Los_Angeles:20261103T161500
DTEND;TZID=America/Los_Angeles:20261103T171500
DTSTAMP:20261003T001913Z
CREATED:20261003T001804Z
LAST-MODIFIED:20261003T001913Z
UID:10002358-1793722500-1793726100@colleges.claremont.edu
SUMMARY:Claremont Topology Seminar: Chris Soteros (University of Saskatchewan)
DESCRIPTION:Speaker: Chris Soteros (University of Saskatchewan) \nTitle: TBA\n \nAbstract: TBA \n_______ \nWe especially welcome all undergraduates and graduate students to attend topology seminar! \nRoom: Roberts South 103
URL:https://colleges.claremont.edu/ccms/event/claremont-topology-seminar-chris-soteros-university-of-saskatchewan/
LOCATION:Roberts South 103\, Roberts Hall South 103\, Claremont McKenna College\, E 8th St\, Claremont\, CA\, 91711\, United States
CATEGORIES:Topology Seminar
ORGANIZER;CN="Bahar Acu":MAILTO:Bahar_Acu@pitzer.edu
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BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20261104T161500
DTEND;TZID=America/Los_Angeles:20261104T171500
DTSTAMP:20261022T212350Z
CREATED:20261022T212245Z
LAST-MODIFIED:20261022T212350Z
UID:10002372-1793808900-1793812500@colleges.claremont.edu
SUMMARY:CCMS Colloquium: Sharp Comparisons Between Sliced and Standard 1-Wasserstein Distances — Yi Wang (John Hopkins University)
DESCRIPTION:Abstract: Optimal transport describes the process of finding the most efficient way to move mass between two distributions. Wasserstein distance measures the minimal transportation cost achieved by that optimal plan. However\, in higher dimensions\, computing the Wasserstein distance becomes computationally expensive. The sliced Wasserstein distance offers an effective and efficient way to alleviate this burden. In this talk\, I will talk about the quantitative estimates between the sliced \(1\)-Wasserstein distance and the \(1\)-Wasserstein distance. I will then discuss our construction of a concrete example that demonstrates the exponents in the estimate are sharp. This is joint work with Guillaume Carlier\, Alessio Figalli\, Quentin Merigot. \nBio: Yi Wang is a Professor of Mathematics at Johns Hopkins University and a faculty member of the Johns Hopkins Data Science and AI Institute. Her research spans geometric analysis\, nonlinear partial differential equations\, and the mathematical foundations of machine learning and artificial intelligence. She received her Ph.D. from Princeton University and previously held positions at Stanford University and the Institute for Advanced Study. Her work has been supported by an NSF CAREER Award\, and her recent research explores the geometry\, optimization\, and reasoning capabilities of modern AI systems. \n\n\n\nFor questions about the event\, please contact your CCMS Colloquium chairs: \nProf. Robert Cass (Robert.Cass@ClaremontMcKenna.edu) or Prof. Qidi Peng (Qidi.Peng@cgu.edu) \nFor logistical questions\, contact Maxwell Kooiker (Maxwell.Kooiker@cgu.edu)\, the CCMS Colloquium Assistant.
URL:https://colleges.claremont.edu/ccms/event/ccms-colloquium-sharp-comparisons-between-sliced-and-standard-1-wasserstein-distances-yi-wang-john-hopkins-university/
LOCATION:Burkle 16\, Claremont Graduate University\, 1021 N. Dartmouth Ave.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Colloquium
ORGANIZER;CN="Qidi Peng":MAILTO:Qidi.Peng@cgu.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20261107T090000
DTEND;TZID=America/Los_Angeles:20261107T115500
DTSTAMP:20261010T020516Z
CREATED:20261010T020516Z
LAST-MODIFIED:20261010T020516Z
UID:10002367-1794042000-1794052500@colleges.claremont.edu
SUMMARY:GEMS November 7th Session
DESCRIPTION:This GEMS session will be facilitated by Professor Robert Sanchez from Harvey Mudd College. \nTitle: Going with the flow: The Mathematics of Fluid Motion\n\nAbstract: Why can the depth of a river or the height of a wave tell us how fast it is moving? This lesson talks about the mathematics of fluid motion and how we can use simple\, dimensional arguments to simplify complicated equations. You will perform a hands-on tank experiment and record the speed of a gravity current. We will vary the parameters that control the fluid motion to predict flow speed. We will compare our predictions to real world phenomena such as dust storms\, sea breezes and avalanches.
URL:https://colleges.claremont.edu/ccms/event/gems-november-7th-session/
LOCATION:Shanahan 3481\, Harvey Mudd College\, 320 E. Foothill Blvd.\, Claremont\, CA\, 91711-3941\, United States
CATEGORIES:GEMS
ORGANIZER;CN="Teal Witter":MAILTO:raylen.witter@claremontmckenna.edu
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