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DTSTART;TZID=America/Los_Angeles:20230410T161500
DTEND;TZID=America/Los_Angeles:20230410T171500
DTSTAMP:20260609T230158
CREATED:20230131T010146Z
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SUMMARY:Applied Math Seminar: Johannes Brust (UCSD)
DESCRIPTION:Title: PLSS: A Projected Linear Systems Solver (joint work with Michael Saunders) \nAbstract:\nIteratively solving linear systems has proven to be useful for many large applications. Projection methods use sketching matrices (possibly randomized) to generate a sequence of small projected subproblems\, but even the smaller systems can be costly. We develop a method in which one column is added to the sketching matrix each iteration. By choosing the sequence of all previous residuals for a sketch\, we derive an iterative process with orthogonal residuals that leads to a simple recursive update to approximate the solution. In exact arithmetic\, our method (PLSS) converges in at most \(n\) iterations\, where \(n\) is the column rank of matrix \(A\). In experiments on large sparse systems\, PLSS compares favorably with deterministic and state-of-the-art randomized methods.
URL:https://colleges.claremont.edu/ccms/event/applied-math-seminar-johannes-brust-ucsd/
LOCATION: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:20230411T121500
DTEND;TZID=America/Los_Angeles:20230411T131000
DTSTAMP:20260609T230158
CREATED:20230201T212937Z
LAST-MODIFIED:20230405T034512Z
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SUMMARY:Discrete Calculus through generating functions (Wai Yan Pong\, Cal State Dominguez Hills)
DESCRIPTION:Discrete Calculus studies discrete structures\, such as sequences and graphs\, using techniques similar to those used in Calculus for continuous functions. The basic idea of generating functions is to associate a function with a sequence so that the coefficients of the power series expansion of the function represent the terms of the sequence. They provide a systematic way to encode information about a sequence or a combinatorial structure in a single function\, which can then be manipulated algebraically to obtain various types of results. In this talk\, we will examine a few well-known results about binomial coefficients\, Stirling numbers and Bernoulli numbers using both Discrete Calculus and generating functions as well as the interaction between them.
URL:https://colleges.claremont.edu/ccms/event/antc-talk-wai-yan-pong-cal-state-dominguez-hills/
LOCATION:Davidson Lecture Hall\, CMC\, 340 E 9th St\, Claremont\, CA\, 91711\, United States
CATEGORIES:Algebra / Number Theory / Combinatorics Seminar
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DTSTART;TZID=America/Los_Angeles:20230412T161500
DTEND;TZID=America/Los_Angeles:20230412T173000
DTSTAMP:20260609T230158
CREATED:20230122T184442Z
LAST-MODIFIED:20230407T160958Z
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SUMMARY:Sequential: A Meditation on Recurrence (Prof. Ghassan Sarkis\, Pomona College)
DESCRIPTION:Title: Sequential: A Meditation on Recurrence \nSpeaker: Ghassan Sarkis\, Department of Mathematics\, Pomona College \nAbstract: Though I will share some adventures in sequence-generating neural networks just for fun\, the majority of this talk will be concerned with Fibonacci sequences modulo $p$ and $p^2$ from data-inflected and number-theoretic perspectives\, including questions about periods of the modular sequence (how long before it repeats itself?) and associated frequencies (how many of each residue is there?) also just for fun. Most of the presentation should be understandable to math students with exposure to linear algebra and modular arithmetic\, and will include some suggested paths they may want to pursue in their own research as well. \n\n\n\n\n\nGhassan Sarkis is an Associate Professor of Mathematics & Statistics at Pomona College to his great surprise. His training is in number theory\, though he enjoys dabbling in combinatorics\, data science\, and some other puzzles that cross his path. He is very excited to discover what happens next.
URL:https://colleges.claremont.edu/ccms/event/prof-ghassan-sarkis/
LOCATION:Argue Auditorium\, Pomona College\, 610 N. College Ave.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Colloquium
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DTSTART;TZID=America/Los_Angeles:20230415T100000
DTEND;TZID=America/Los_Angeles:20230415T120000
DTSTAMP:20260609T230158
CREATED:20230319T224042Z
LAST-MODIFIED:20230319T224042Z
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SUMMARY:GEMS April 15th Session
DESCRIPTION:
URL:https://colleges.claremont.edu/ccms/event/gems-april-15th-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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