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X-WR-CALDESC:Events for Claremont Center for the Mathematical Sciences
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DTSTART;TZID=America/Los_Angeles:20260302T161500
DTEND;TZID=America/Los_Angeles:20260302T171500
DTSTAMP:20260412T215029
CREATED:20260224T233444Z
LAST-MODIFIED:20260224T233444Z
UID:4007-1772468100-1772471700@colleges.claremont.edu
SUMMARY:Structure-Preserving Discretizations for Fokker–Planck Equations via the Energy Dissipation Law (Satish Chandran\, UCR)
DESCRIPTION:Abstract: We present a new approach for deriving structure-preserving numerical discretizations of Fokker-Planck equations by establishing a connection between the Fokker-Planck equation and its semi-discrete master equation at the level of the energy-dissipation law. We determine the transition rate in the master equation via the detailed balance condition and the spatial discretization of the continuous energy-dissipation law. This approach ensures that the semi-discrete master equation satisfies the detailed balance condition and converges to the correct equilibrium. In addition to recovering existing transition rates proposed in earlier works\, our framework uncovers new transition rates that have not been discussed in the current literature. This work is joint with Dr. Yiwei Wang (UCR).
URL:https://colleges.claremont.edu/ccms/event/structure-preserving-discretizations-for-fokker-planck-equations-via-the-energy-dissipation-law-satish-chandran-ucr/
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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BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20260309T161500
DTEND;TZID=America/Los_Angeles:20260309T171500
DTSTAMP:20260412T215029
CREATED:20260303T213300Z
LAST-MODIFIED:20260310T191340Z
UID:4022-1773072900-1773076500@colleges.claremont.edu
SUMMARY:An Odd Estimator for Shapley Values (Teal Witter\, CMC)
DESCRIPTION:Abstract: The Shapley value is a ubiquitous framework for attribution in machine learning\, encompassing feature importance\, data valuation\, and causal inference. However\, its exact computation is generally intractable\, necessitating efficient approximation methods. While the most effective and popular estimators leverage the paired sampling heuristic to reduce estimation error\, the theoretical mechanism driving this improvement has remained opaque. In this work\, we provide an elegant and fundamental justification for paired sampling: we prove that the Shapley value depends exclusively on the odd component of the set function\, and that paired sampling orthogonalizes the regression objective to filter out the irrelevant even component. Leveraging this insight\, we propose OddSHAP\, a novel consistent estimator that performs polynomial regression solely on the odd subspace. By utilizing the Fourier basis to isolate this subspace and employing a proxy model to identify high-impact interactions\, OddSHAP overcomes the combinatorial explosion of higher-order approximations. Through an extensive benchmark evaluation\, we find that OddSHAP achieves state-of-the-art estimation accuracy.\n\nJoint work with Fabian Fumagalli\, Landon Butler\, Justin Singh Kang\, and Kannan Ramchandran.
URL:https://colleges.claremont.edu/ccms/event/an-odd-estimator-for-shapley-values-teal-witter-cmc/
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
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20260323T161500
DTEND;TZID=America/Los_Angeles:20260323T171500
DTSTAMP:20260412T215029
CREATED:20260320T193527Z
LAST-MODIFIED:20260320T193527Z
UID:4056-1774282500-1774286100@colleges.claremont.edu
SUMMARY:A Regularity Criterion for the 3-D Navier-Stokes Equations Based on Finitely Many Observations (Abhishek Balakrishna\, USC)
DESCRIPTION:Abstract: This talk presents a regularity criterion for the three-dimensional Navier–Stokes equations based on finitely many observations of the flow. Motivated by data assimilation\, we study a nudging algorithm that incorporates coarse spatial measurements through general interpolation operators. \nWe show that suitable conditions on the observed data guarantee global regularity of the associated system and yield an exponential tracking property. As a consequence\, we obtain a new regularity criterion for weak solutions formulated entirely in terms of finitely many observables\, covering modal\, volume\, and nodal measurements.
URL:https://colleges.claremont.edu/ccms/event/a-regularity-criterion-for-the-3-d-navier-stokes-equations-based-on-finitely-many-observations-abhishek-balakrishna-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
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20260330T161500
DTEND;TZID=America/Los_Angeles:20260330T171500
DTSTAMP:20260412T215029
CREATED:20260317T221754Z
LAST-MODIFIED:20260317T221754Z
UID:4051-1774887300-1774890900@colleges.claremont.edu
SUMMARY:The Euler Equations in Function Spaces of Generalized Smoothness (Zachary Radke\, OSU)
DESCRIPTION:Abstract: In this talk\, we will describe a well/ill-posedness result for the 2D incompressible Euler equations. We investigate solutions in a setting logarithmically smoother than previously done\, in a hope to identify the key dynamics leading to a breakdown of regularity in 2D fluid flow. When order of the logarithmic derivative is sufficiently large one obtains global well posedness\, however\, below this threshold\, one can construct initial data for which the corresponding solution blows up instantaneously in the logarithmic Sobolev norm. In this sense\, the result is sharp at this logarithmic scale\, but by no means is the story completed by it so we will discuss ways to dive deeper.
URL:https://colleges.claremont.edu/ccms/event/the-euler-equations-in-function-spaces-of-generalized-smoothness-zachary-radke-osu/
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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