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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:20221128T161500
DTEND;TZID=America/Los_Angeles:20221128T171500
DTSTAMP:20260508T031411
CREATED:20220920T153253Z
LAST-MODIFIED:20221122T174526Z
UID:2939-1669652100-1669655700@colleges.claremont.edu
SUMMARY:Applied Math Seminar: Juergen Kritschgau (Carnegie Mellon)
DESCRIPTION:Title: Using Mutual Information of Hypergraph Compressions for Clustering\n\nAbstract: Hypergraphs are often used to represent higher order observed relationships between subjects of study. In particular\, the vertices of a hypergraph could represent the basic elements of study\, and edges represent observed relationships between the vertices. Implicitly\, the assumption is that observed edges are more (or less) likely to appear between vertices that are “similar”. Therefore\, an important question in data science is whether the edges of a hypergraph can be used to recover ground truth vertex labels where two vertices receive the same label if they are similar. This is known as the clustering problem. In this talk\, we will discuss how mutual information of hypergraph compressions can be used to cluster hypergraphs\, and apply this clustering strategy to synthetic and real world data sets.
URL:https://colleges.claremont.edu/ccms/event/applied-math-seminar-juergen-kritschgau-carnegie-mellon/
LOCATION:Shanahan 2407 at Harvey Mudd College\, Claremont\, CA\, 91711\, United States
CATEGORIES:Applied Math Seminar
ORGANIZER;CN="Heather Zinn Brooks":MAILTO:hzinnbrooks@g.hmc.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20221121T161500
DTEND;TZID=America/Los_Angeles:20221121T171500
DTSTAMP:20260508T031411
CREATED:20220905T171325Z
LAST-MODIFIED:20230816T040911Z
UID:2830-1669047300-1669050900@colleges.claremont.edu
SUMMARY:Applied Math Seminar: Junshan Lin (Auburn)
DESCRIPTION:Title: Scattering Resonances Through Subwavelength Holes and Their Applications in Imaging and Sensing \nAbstract:\nThe so-called extraordinary optical transmission (EOT) through metallic nanoholes has triggered extensive research in modern plasmonics and their applications in bio-sensing\, imaging\, etc. This talk aims to provide quantitative mathematical  theories to understand a variety of resonances that induce the EOT phenomenon and present mathematical studies for their applications in imaging and sensing. \nIn the first part of the talk\, based upon the layer potential technique\, asymptotic analysis and the homogenization theory\, I will present rigorous mathematical analysis to investigate the scattering resonances for several typical two-dimensional structures\, including Fabry-Perot resonance\, Fano resonance\, etc. In the second part of the talk\, mathematical studies for their applications in sensing and super-resolution imaging will be discussed. I will focus on the resonance frequency sensitivity analysis and how one can achieve super-resolution by using plasmonic nanohole structures.
URL:https://colleges.claremont.edu/ccms/event/applied-math-seminar-junshan-lin-auburn/
LOCATION:Shanahan 2407 at Harvey Mudd College\, Claremont\, CA\, 91711\, United States
CATEGORIES:Applied Math Seminar
ORGANIZER;CN="Heather Zinn Brooks":MAILTO:hzinnbrooks@g.hmc.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20221114T161500
DTEND;TZID=America/Los_Angeles:20221114T171500
DTSTAMP:20260508T031411
CREATED:20220919T154642Z
LAST-MODIFIED:20221101T152658Z
UID:2932-1668442500-1668446100@colleges.claremont.edu
SUMMARY:Applied Math Seminar: Jahrul Alum (Memorial University of Newfoundland)
DESCRIPTION:Title: Data-driven large eddy simulation of atmospheric turbulence \nAbstract: Over the last few years\, machine learning has been critical in science and engineering and emerged as a data-driven turbulence model. However\, machine learning depends on training data from previous experiments on turbulent flows. Typically\, training data capture only a fraction of the active scales of turbulence. Despite decades of research\, the best turbulence theory has yet to emerge\, which limits the training of supervised machine learning models. Reinforcement learning is one way to alleviate these challenges. A reinforcement learning model interacts directly with the dynamical system itself. In this talk\, I will use the Burgers equation to illustrate data-driven learning of dynamical systems. Then\, I use simulations of a NACA airfoil and a wind farm to outline the reinforcement learning framework. Finally\, the talk presents a proof of concept for optimizing large eddy simulation through reinforcement learning.
URL:https://colleges.claremont.edu/ccms/event/applied-math-seminar-jahrul-alum-memorial-university-of-newfoundland/
LOCATION:Shanahan 2407 at Harvey Mudd College\, Claremont\, CA\, 91711\, United States
CATEGORIES:Applied Math Seminar
ORGANIZER;CN="Heather Zinn Brooks":MAILTO:hzinnbrooks@g.hmc.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20221107T161500
DTEND;TZID=America/Los_Angeles:20221107T171500
DTSTAMP:20260508T031411
CREATED:20220913T161358Z
LAST-MODIFIED:20230816T041034Z
UID:2921-1667837700-1667841300@colleges.claremont.edu
SUMMARY:Applied Math Seminar: Angel Chavez (Pomona)
DESCRIPTION:Title: Randomized Sums of Graph Spectra \nAbstract:\nThe adjacency matrix of an Erdős-Rényi-Gilbert graph is a random symmetric matrix whose entries are Bernoulli random variables. These entries\, modulo the constraints imposed by symmetry\, are independent. We aim to understand the asymptotic behavior of randomized sums of the spectra and singular spectra of these matrices. In particular\, we establish several central-limit type theorems for these randomized sums of eigenvalues and singular values.
URL:https://colleges.claremont.edu/ccms/event/applied-math-seminar-angel-chavez-pomona/
LOCATION:Shanahan 2407 at Harvey Mudd College\, Claremont\, CA\, 91711\, United States
CATEGORIES:Applied Math Seminar
ORGANIZER;CN="Heather Zinn Brooks":MAILTO:hzinnbrooks@g.hmc.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20221031T161500
DTEND;TZID=America/Los_Angeles:20221031T171500
DTSTAMP:20260508T031411
CREATED:20220909T224518Z
LAST-MODIFIED:20221026T145641Z
UID:2849-1667232900-1667236500@colleges.claremont.edu
SUMMARY:Applied Math Seminar: Anna Nelson (Duke)
DESCRIPTION:Title: Mathematical modeling of polymerization processes in physiology\n\nAbstract: Polymerization\, or aggregation\, is essential for many physiological systems. For example\, the emergence of a fibrin polymer mesh during the formation of a blood clot is required for a stable clot and long-term\, sustained intracellular transport in neurons rely on persistent yet dynamic polymers that comprise the microtubule cytoskeleton. In the first part of the talk\, I will discuss a kinetic polymerization model that represents the formation of a fibrin polymer mesh with interactions with its precursor molecule\, fibrinogen. With this model\, we investigate how fibrin-fibrinogen interactions can impact gel structure (such as concentration of branch points) and gel time. In the second part\, I will introduce a stochastic mathematical model of individual microtubule growth and catastrophe in the dendrite of a neuron. Using parameters informed by experimental data\, we explore what mechanisms could control the equilibrium microtubule length and validate these mechanisms using fluorescence microscopy data.  \n\n 
URL:https://colleges.claremont.edu/ccms/event/applied-math-seminar-anna-nelson-duke/
LOCATION:Shanahan 2407 at Harvey Mudd College\, Claremont\, CA\, 91711\, United States
CATEGORIES:Applied Math Seminar
ORGANIZER;CN="Heather Zinn Brooks":MAILTO:hzinnbrooks@g.hmc.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20221024T161500
DTEND;TZID=America/Los_Angeles:20221024T171500
DTSTAMP:20260508T031411
CREATED:20220929T220052Z
LAST-MODIFIED:20220929T220052Z
UID:2818-1666628100-1666631700@colleges.claremont.edu
SUMMARY:Applied Math Seminar: Susan Friedlander (USC)
DESCRIPTION:Title: Kolmogorov\, Onsager and a Dyadic Model for Turbulence \nAbstract: We will briefly review Kolmogorov’s ( 41) theory of homogeneous turbulence\nand Onsager’s ( 49 ) conjecture that in 3-dimensional turbulent flows energy\ndissipation might exist even in the limit of vanishing viscosity. \nAlthough over the past 70 years there is a vast body of literature related to this subject\,\nat present there is no rigorous mathematical proof that the solutions to the Navier-Stokes\nequations yield Kolmogorov’s laws. For this reason various models have been introduced\nthat are more tractable but capture some of the essential features of the Navier-Stokes\nequations themselves. We will discuss one such dyadic model for turbulent energy cascades.\nWe will describe how results can be used to prove this dyadic model is consistent with\nKolmogorov’s theory and Onsager’s conjecture. \nAspects of the work are joint with Alexey Cheskidov\, Nathan Glatt-Holtz\, Roman Shvydkoy\, and Vlad Vicol.
URL:https://colleges.claremont.edu/ccms/event/applied-math-seminar-susan-friedlander-usc/
LOCATION:Shanahan 2407 at Harvey Mudd College\, Claremont\, CA\, 91711\, United States
CATEGORIES:Applied Math Seminar
ORGANIZER;CN="Heather Zinn Brooks":MAILTO:hzinnbrooks@g.hmc.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20221010T161500
DTEND;TZID=America/Los_Angeles:20221010T171500
DTSTAMP:20260508T031411
CREATED:20220909T224751Z
LAST-MODIFIED:20220929T215737Z
UID:2850-1665418500-1665422100@colleges.claremont.edu
SUMMARY:Applied Math Seminar: Adam Waterbury (UCSB)
DESCRIPTION:Title: Approximating Quasi-Stationary Distributions with Interacting Reinforced Markov Chains\n\nAbstract: An important question in ecology is what conditions must be met for a population of interacting species to coexist. In realistic models of such populations\, after a large enough amount of time has passed\, one or more of the species are sure to face extinction. However\, the time that it takes for extinction to occur can be quite large\, so it is natural to consider whether the population can sustain any long-term coexistence before any of the species are extinct. This metastability is captured in the notion of a quasi-stationary distribution (QSD). However\, calculating the QSD of such a system can be numerically difficult\, as it amounts to solving a system of nonlinear equations\, which has led to a wide range of simulation-based methods that can be used to efficiently approximate QSD. In the first part of this talk I introduce two new simulation-based methods for approximating QSD that are described in terms of a large collection of interacting particles known as reinforced Markov chains. In the second part of this talk I discuss some related work studying the rare-event asymptotics of a related class of reinforced Markov chains.
URL:https://colleges.claremont.edu/ccms/event/applied-math-seminar-adam-waterbury-ucsb/
LOCATION:Shanahan 2407 at Harvey Mudd College\, Claremont\, CA\, 91711\, United States
CATEGORIES:Applied Math Seminar
ORGANIZER;CN="Heather Zinn Brooks":MAILTO:hzinnbrooks@g.hmc.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20221003T161500
DTEND;TZID=America/Los_Angeles:20221003T171500
DTSTAMP:20260508T031411
CREATED:20220909T225108Z
LAST-MODIFIED:20220929T215943Z
UID:2851-1664813700-1664817300@colleges.claremont.edu
SUMMARY:Applied Math Seminar: Harlin Lee (UCLA)
DESCRIPTION:Title: Understanding scientific fields with network analysis and topic modeling\n\nAbstract: As scientific disciplines get larger\, it becomes impossible for an individual researcher to be familiar with the entire body of literature\, which forces them to specialize in a sub-field. Such insulation can hinder the birth of ideas that arise from new connections\, eventually slowing down scientific progress. As such\, discovering fruitful interdisciplinary connections by analyzing scientific publications is an important problem in the science of science. This talk will present several past and ongoing projects in answering that question using tools from network analysis and topic modeling: 1) a dynamic-embedding-based method for link prediction in a machine learning semantic network\, where the nodes are concepts in machine learning\, and the time-stamped edges indicate co-occurrence in scientific papers\, and 2) finding communities in cognitive science that study similar topics but do not cite each other or publish in the same venues.
URL:https://colleges.claremont.edu/ccms/event/applied-math-seminar-harlin-lee-ucla/
LOCATION:Shanahan 2407 at Harvey Mudd College\, Claremont\, CA\, 91711\, United States
CATEGORIES:Applied Math Seminar
ORGANIZER;CN="Heather Zinn Brooks":MAILTO:hzinnbrooks@g.hmc.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20220919T161500
DTEND;TZID=America/Los_Angeles:20220919T171500
DTSTAMP:20260508T031411
CREATED:20220909T190042Z
LAST-MODIFIED:20220910T044707Z
UID:2846-1663604100-1663607700@colleges.claremont.edu
SUMMARY:Applied Math Seminar: Chiu-Yen Kao (CMC)
DESCRIPTION:Title: Computational Approaches to Optimization Problems in Inhomogeneous Rods and Plates \nAbstract: \nIn this talk\, we will show the experiments of the vibration of plates to generate Chladni’s figures and discuss computational approaches to optimization problems of inhomogeneous rods and plates. We consider both optimization of eigenvalues and localization of eigenfunctions. These problems are motivated by physical problems including the determination of extremum of fundamental vibration frequency and the localization of the vibration displacement. We demonstrate how an iterative rearrangement approach and a gradient descent approach with projection can successfully solve these optimization problems.\n\nThis is a joint work with Weitao Chen at University of California\, at Riverside and it is dedicated to our esteemed collaborator and friend: Ching-Shan Chou.
URL:https://colleges.claremont.edu/ccms/event/applied-math-seminar-chiu-yen-kao-cmc/
LOCATION:Shanahan 2407 at Harvey Mudd College\, Claremont\, CA\, 91711\, United States
CATEGORIES:Applied Math Seminar
ORGANIZER;CN="Heather Zinn Brooks":MAILTO:hzinnbrooks@g.hmc.edu
END:VEVENT
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