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DTSTART;TZID=America/Los_Angeles:20240304T161500
DTEND;TZID=America/Los_Angeles:20240304T171500
DTSTAMP:20260409T235601
CREATED:20240228T002704Z
LAST-MODIFIED:20240228T002704Z
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SUMMARY:Gabe Chandler (Pomona College)
DESCRIPTION:Title: Graphical Anomaly Detection for High Dimensional and Object Data \nAbstract: Anomaly detection is an important task in data analysis\, though an agreed upon definition of what constitutes an outlier does not exist.  Accordingly\, a graphical tool that can highlight interesting observations in a data set that the scientist can then investigate with domain specific knowledge would be of value.  The depth quantile function (DQF)\, a recently introduced feature map that takes data of arbitrary dimension to a function of a single variable while encoding certain geometric information\, will provide such a tool.  After introducing the DQF\, we will discuss adaptations that make it particularly suited to the problem of anomaly detection\, particularly the case where the non-anomalous data is living on a lower dimensional manifold in the data space.  The DQF is also kernelizable\, allowing applications to non-Euclidean data\, as will be demonstrated via several examples.
URL:https://colleges.claremont.edu/ccms/event/gabe-chandler-pomona-college/
LOCATION:Emmy Noether Room\, Estella 1021\, Pomona College\,\, 610 N. College Ave.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Applied Math Seminar
ORGANIZER;CN="Ami Radunskaya":MAILTO:aradunskaya@pomona.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20240226T161500
DTEND;TZID=America/Los_Angeles:20240226T171500
DTSTAMP:20260409T235601
CREATED:20240220T215244Z
LAST-MODIFIED:20240220T224116Z
UID:3391-1708964100-1708967700@colleges.claremont.edu
SUMMARY:Javier Gonzalez Anaya (Harvey Mudd College)
DESCRIPTION:This is the continuation of the semester’s joint seminar with the Universidad Nacional de Colombia-Manizales. \nTitle: Enumerating linearity regions of max-pooling layers in convolutional neural networks \nAbstract: Convolutional neural networks (CNN’s) are central tools in the application of machine learning to text\, audio and image processing. Their success stems from the ability of these networks to identify key features in complex datasets at a relatively low computational cost. Max-pooling layers (MPL’s) are key components of CNN’s that reduce the number of parameters used by the network while making it more robust to small changes in the input data. From a mathematical point of view\, MPLs are piecewise-linear functions\, and their number of linearity regions can be interpreted as a measure of complexity of the layer. In this talk I will explain how we can use combinatorial techniques to count these linearity regions\, and survey our current results in the area.
URL:https://colleges.claremont.edu/ccms/event/javier-gonzalez-anaya-harvey-mudd-college/
LOCATION:Emmy Noether Room\, Estella 1021\, Pomona College\,\, 610 N. College Ave.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Applied Math Seminar
ORGANIZER;CN="Ami Radunskaya":MAILTO:aradunskaya@pomona.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;VALUE=DATE:20240224
DTEND;VALUE=DATE:20240225
DTSTAMP:20260409T235601
CREATED:20240124T181450Z
LAST-MODIFIED:20240124T181543Z
UID:3348-1708732800-1708819199@colleges.claremont.edu
SUMMARY:14th WiMSoCal Symposium at Pomona
DESCRIPTION:The 14th Symposium for Women and Gender Minorities in Mathematics in Southern California \nWiMSoCal returns to SoCal after a four-year-hiatus due to pandemic. \nThe symposium will provide an opportunity for women and gender-nonconforming individuals in mathematics in the Southern California area to get to know each other on a personal as well as professional level.  \nOur aim is to create a network of mathematicians in the Southern California area in order to nurture collaborations and provide a framework for mentoring. These relationships can facilitate mathematicians branching into new areas of mathematics\, exploring the variety of ways of contributing mathematically to society and the profession\, and maintaining a healthy\, balanced life. \nAttendees of this symposium will: \n\nLearn about the research of women and gender-nonconforming mathematicians in Southern California \nPresent your work in a supportive environment \nNetwork with other Southern California mathematicians (students\, faculty\, and industry professionals)\nExplore issues surrounding being a woman and gender minority in mathematics \n\nAll are welcome to register and attend: \nhttps://sites.google.com/view/wimsocal2024 \nThis event is made possible partly by Pitzer’s generous Agnes Moreland Jackson Diversity Program Fund.
URL:https://colleges.claremont.edu/ccms/event/14th-wimsocal-symposium-at-pomona/
LOCATION:Argue Auditorium\, Pomona College\, 610 N. College Ave.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Special Event
ORGANIZER;CN="Bahar Acu":MAILTO:Bahar_Acu@pitzer.edu
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END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20240219T161500
DTEND;TZID=America/Los_Angeles:20240219T171500
DTSTAMP:20260409T235601
CREATED:20240220T215909Z
LAST-MODIFIED:20240220T215909Z
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SUMMARY:Cristian Lopez Morales (UNAL)
DESCRIPTION:Join us for the first talk in the joint seminar with CCMS Applied Math and the Universidad Nacional de Colombia \nTitle \nSerre Conjecture. Geometric interpretation of the Quillen-Suslin Theorem. \nAbstract: \nThe Quillen-Suslin theorem asserts that over the polynomial ring with coefficients in a field K[x_1\,…\,x_n]\, every projective module is free. Despite the algebraic nature of the objects involved in this theorem and its proof\, this is a problem motivated by geometry. \n\nOriginally\, this problem was proposed by the French mathematician Jean-Pierre Serre as one of his famous conjectures. In this talk\, we will discuss the original formulation of Serre’s conjecture (the Quillen-Suslin theorem)\, along with the necessary concepts to translate the geometric statement into the algebraic one.
URL:https://colleges.claremont.edu/ccms/event/cristian-lopez-morales-unal/
LOCATION:Emmy Noether Room\, Estella 1021\, Pomona College\,\, 610 N. College Ave.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Applied Math Seminar
ORGANIZER;CN="Ami Radunskaya":MAILTO:aradunskaya@pomona.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20240212T161500
DTEND;TZID=America/Los_Angeles:20240212T171500
DTSTAMP:20260409T235601
CREATED:20240207T150322Z
LAST-MODIFIED:20240207T150322Z
UID:3378-1707754500-1707758100@colleges.claremont.edu
SUMMARY:Dagan Karp (Harvey Mudd College)
DESCRIPTION:Title: Tropical Linear Series\n\nAbstract: In this talk I’ll attempt to give a friendly and example-driven introduction to the theory of linear series on tropical curves. While in some respects mirroring the classical study of linear series\, in the tropical setting there are many surprises and even basic questions remain open. This work is joint with Chang Chih-Wei\, Hernan Iriarte\, David Jensen\, Sam Payne\, and Jidong Wang.
URL:https://colleges.claremont.edu/ccms/event/dagan-karp-harvey-mudd-college/
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
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20240129T041500
DTEND;TZID=America/Los_Angeles:20240129T171500
DTSTAMP:20260409T235601
CREATED:20240125T032110Z
LAST-MODIFIED:20240125T032138Z
UID:3350-1706501700-1706548500@colleges.claremont.edu
SUMMARY:Applied Math Seminar: Adolfo Rumbos (Pomona College)
DESCRIPTION:Title: Existence and multiplicity of solutions for a cooperative elliptic system using Morse theory \nThis is joint work with Leandro Recova (Cal Poly Pomona) \nAbstract
URL:https://colleges.claremont.edu/ccms/event/applied-math-seminar-adolfo-rumbos-pomona-collegeo/
LOCATION:Emmy Noether Room\, Estella 1021\, Pomona College\,\, 610 N. College Ave.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Applied Math Seminar
ORGANIZER;CN="Ami Radunskaya":MAILTO:aradunskaya@pomona.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20231113T041500
DTEND;TZID=America/Los_Angeles:20231113T171500
DTSTAMP:20260409T235601
CREATED:20230912T154722Z
LAST-MODIFIED:20231110T160645Z
UID:3205-1699848900-1699895700@colleges.claremont.edu
SUMMARY:Applied Math Seminar: Adam Yassine (Pomona College)
DESCRIPTION:Title: On the Composition of Classical Mechanical Systems \nAbstract: Compositionality is a basic principle for understanding the physical world. The underlying idea is to study a system by studying the ways in which the components of the system compose to form the system. Category theory is an area in mathematics that is particularly well-suited for studying questions about compositionality. This talk will outline a way to use category theory to study classical mechanical systems from a compositional perspective.
URL:https://colleges.claremont.edu/ccms/event/applied-math-seminar-adam-yassine-pomona-college/
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
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20231106T161500
DTEND;TZID=America/Los_Angeles:20231106T171500
DTSTAMP:20260409T235601
CREATED:20230912T155411Z
LAST-MODIFIED:20230912T155411Z
UID:3206-1699287300-1699290900@colleges.claremont.edu
SUMMARY:Applied Math Seminar: Claremont Colleges Course Previews for Spring 2024
DESCRIPTION:During this student-centered Applied Math Seminar\, there will be discussion and presentations about upcoming courses offered in applied mathematics\, to help students make their enrollment choices for Spring 2024 and beyond.
URL:https://colleges.claremont.edu/ccms/event/applied-math-seminar-claremont-colleges-course-previews-for-spring-2024/
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
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20231030T161500
DTEND;TZID=America/Los_Angeles:20231030T173000
DTSTAMP:20260409T235601
CREATED:20231019T153510Z
LAST-MODIFIED:20231023T034142Z
UID:3292-1698682500-1698687000@colleges.claremont.edu
SUMMARY:Applied Math Seminar: Jeremy Brandman (DCS corporation)
DESCRIPTION:Title \nControl algorithms for unmanned underwater vehicles: new approaches based on Hamilton-Jacobi equations and reinforcement learning. \nAbstract \nUnmanned underwater vehicles (UUVs) are defined by their ability to operate without direct human intervention.  As a result\, UUVs are valuable for surveillance tasks\, especially in the presence of hazardous environmental conditions. Specific applications of UUVs include seafloor mapping\, mine detection\, and oil pipeline inspection. \nIn this talk\, we propose new algorithms for two aspects of UUV control: path planning and vehicle guidance.  Path planning identifies a vehicle trajectory\, based on anticipated environmental conditions\, that achieves desired mission objectives (e.g. obstacle avoidance\, minimization of energy consumption). Vehicle guidance responds to observed environmental conditions in order to maintain fidelity to the path selected by the path planner. \nThe first half of this talk considers a new approach to path planning based on solving Hamilton-Jacobi partial differential equations (PDE).  The starting point for this method is the observation that the vehicle’s minimum travel-time satisfies a time-independent Hamilton-Jacobi equation .  Numerical solutions to this PDE are efficiently computed using the fast sweeping method.  Our approach is validated through several examples for which optimal trajectories are derived using the calculus of variations. \nThe second half of this talk introduces a reinforcement learning framework for incorporating in situ ocean current measurements into the guidance system in an energetically optimal manner.  Scaling and symmetry considerations turn out to play an important role in the framework’s efficiency and robustness.  Numerical results demonstrate that the energetic cost of transits executed under the guidance of a trained agent approaches optimal performance.
URL:https://colleges.claremont.edu/ccms/event/applied-math-seminar-jeremy-brandman/
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
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20231023T161500
DTEND;TZID=America/Los_Angeles:20231023T171500
DTSTAMP:20260409T235601
CREATED:20230912T154613Z
LAST-MODIFIED:20231023T033921Z
UID:3203-1698077700-1698081300@colleges.claremont.edu
SUMMARY:Applied Math Seminar: Evan Rosenman (CMC)
DESCRIPTION:Title:  Recalibration of Predicted Probabilities Using the “Logit Shift”: Why Does It Work\, and When Can It Be Expected to Work Well? \nAbstract: In the context of election analysis\, researchers frequently face the “recalibration problem.” That is: they must reconcile individual-level vote probabilities\, modeled prior to the election\, with vote totals observed in each precinct once the election has taken place. Making these adjustments such that the probabilities match known aggregates\, researchers can obtain better-calibrated estimates of key quantities such as vote preferences among subgroups of the electorate defined by race\, age\, and gender. \nWe provide theoretical grounding for one of the most commonly used recalibration strategies\, known colloquially as the “logit shift.” The logit shift is a heuristic adjustment\, in which a constant correction on the logit scale is found\, such that aggregated predictions match observed totals. \nWe show that the logit shift offers a fast and accurate approximation to a principled\, but computationally impractical adjustment strategy: computing the posterior probabilities\, conditional on the observed totals. After deriving analytical bounds on the quality of the approximation\, we illustrate its accuracy using Monte Carlo simulations. We also discuss scenarios in which the logit shift is less effective at recalibrating predictions: when the totals are available only for highly heterogeneous populations\, and when the original predictions correctly capture the mean of true individual probabilities\, but fail to capture the shape of their distribution.
URL:https://colleges.claremont.edu/ccms/event/applied-math-seminar-evan-rosenman-cmc/
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
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20231009T161500
DTEND;TZID=America/Los_Angeles:20231009T171500
DTSTAMP:20260409T235601
CREATED:20230912T154505Z
LAST-MODIFIED:20231004T015412Z
UID:3202-1696868100-1696871700@colleges.claremont.edu
SUMMARY:Applied Math Seminar: Dan Pirjol (Stevens Institute of Technology)
DESCRIPTION:Title: The Hartman-Watson distribution: numerical evaluation and applications in mathematical finance \nAbstract: The Hartman-Watson distribution appears in several problems of applied probability and financial mathematics. Most notably\, it determines the joint distribution of the time-integral of a geometric Brownian motion and its terminal value. A classical result by Yor (1981) expresses it as a one-dimensional integral which is however difficult to evaluate numerically in the region of interest for financial applications. The talk gives an introduction to the HW distribution and presents an asymptotic expansion which can be used for an efficient numerical evaluation. Two applications from mathematical finance are discussed: Asian options pricing in the Black-Scholes model\, and option pricing in the log-normal SABR model.
URL:https://colleges.claremont.edu/ccms/event/applied-math-seminar-dan-pirjol-stevens-institute-of-technology/
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
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20231002T161500
DTEND;TZID=America/Los_Angeles:20231002T171500
DTSTAMP:20260409T235601
CREATED:20230912T154332Z
LAST-MODIFIED:20230929T050112Z
UID:3201-1696263300-1696266900@colleges.claremont.edu
SUMMARY:Applied Math Seminar: Tin Thien Phan (Los Alamos National Laboratory)
DESCRIPTION:Title: Understanding SARS-CoV-2 viral rebounds with and without treatments. \nAbstract: In most instances\, the characteristics of SARS-CoV-2 mirror the patterns of an acute infection\, with viral load rapidly peaking around 5 days post-infection and subsequently clearing within 2 weeks. However\, some individuals show signs of viral recrudescence of up to 10000 viral RNA copies/mL shortly following viral remission. These instances of viral resurgence\, distinct from long COVID\, are generally resolved within four weeks post-infection and have been observed across varying treatment statuses\, vaccination statuses\, and viral strains. In this presentation\, I will review existing evidence of transient viral rebound and demonstrate that a class of dynamic models that incorporates virus-immune interaction accurately describes transient viral rebound dynamics under different treatment scenarios\, including those untreated. While these models all share a simple structure with a unique globally-asymptomatic-stable disease-free equilibrium\, the most exciting and relevant aspect hides within their transient phase and remains largely unexplored.
URL:https://colleges.claremont.edu/ccms/event/applied-math-seminar-tin-thien-phan-los-alamos-national-laboratory/
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
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20230918T161500
DTEND;TZID=America/Los_Angeles:20230918T171500
DTSTAMP:20260409T235601
CREATED:20230912T153609Z
LAST-MODIFIED:20230912T162421Z
UID:3198-1695053700-1695057300@colleges.claremont.edu
SUMMARY:Applied Math Seminar: Michael Murray (UCLA)
DESCRIPTION:Title: Towards Understanding the Success of First Order Methods in Training Mildly Overparameterized Networks \nAbstract: For most problems of interest the loss landscape of a neural network is non-convex and contains a plethora of spurious critical points. Despite this first order methods such as SGD and Adam are in practice remarkably successful at finding optimal\, or at the least near optimal\, minimizers of the loss. In recent years the Neural Tangent Kernel has proven a powerful tool in explaining this phenomena and for providing guarantees for highly overparameterized networks. However\, for mildly overparameterized networks (where width scales linearithmically in the sample size) where richer feature learning can occur an explanation is lacking. In this talk I will present recent results on the loss landscape of two-layer mildly overparameterized ReLU networks. Our approach involves bounding the dimension of the sets of local and global minima using the rank of the Jacobian of the parameterization map. Using results on random binary matrices\, we show most activation patterns correspond to parameter regions with no bad differentiable local minima. Furthermore\, for one-dimensional input data\, we show most activation regions realizable by the network contain a high dimensional set of global minima and no bad local minima. We experimentally confirm these results by finding a phase transition from most regions having full rank to many regions having deficient rank depending on the amount of overparameterization.
URL:https://colleges.claremont.edu/ccms/event/applied-math-seminar-michael-murray-ucla/
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
END:VEVENT
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