Abstract: Modern machine learning is ultimately a simple process: We iteratively update the weights of machine learning models to minimize a problem-specific loss. When it works well, we deploy the model in human-facing domains like healthcare, finance, or the justice system. But even though we know how models are trained, we don't understand why they […]
Events
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It is a fundamental question to find rational solutions to a given system of polynomials, and in modern language this translates into finding rational points in algebraic varieties. It is […] |
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CCMS Colloquium invites you to a talk by Anna Ma (UCI) Title: Stochastic iterative methods for solving tensor linear systems Abstract: Solving linear systems is a crucial subroutine and challenge in data science and scientific computing. Classical approaches for solving linear systems assume that data is readily available and small enough to be stored in […] |
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This GEMS session will be facilitated by Grace Akinwande from the Claremont Graduate University. Title: From Pizza to Calculus: Understanding Area Through Approximation Abstract: How much more pizza do you […] |
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Abstract: Anderson Acceleration (AA) has been widely used to solve nonlinear fixed-point problems due to its rapid convergence. This talk focuses on a variant of AA in which multiple Picard […] |
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Let $C$ be a nice (smooth, projective, geometrically integral) curve over a number field $k$. The single most important geometric invariant of a curve is the genus, which can control […]
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We welcome all undergraduate/graduate students and faculty to attend topology seminar! Speaker: Robert Cass (Claremont McKenna College) Title: Schubert varieties are splinters Abstract: Schubert varieties are among the most well-studied singular algebraic varieties, and they have numerous applications in combinatorics and representation theory. In positive characteristic, Schubert varieties are known to be Frobenius split by […] |
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CCMS Colloquium invites you to a talk by Jemma Lorenat (Pitzer) Title: Recognizing data: statistical literacies around 1900 Abstract: This talk centers on the first (and perhaps only) doctorate in the theory of correlations, granted by University College London in 1899 to Alice Lee. The production and reception of Lee's research sheds light on the varieties of […] |
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Abstract: Transparency is vital for efficiency in social systems, yet individuals with critical information often strategically postpone disclosure, even when required, to benefit themselves. To study this behavior, we introduce a multi-stage Chinese restaurant game with incomplete information that features system-recommended action rules and varying levels of player foresight. In our model, players initially receive […] |
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This talk explores elementary probability and statistics through the language of category theory. We introduce a category of Bundles and use it to reinterpret several results typically covered in an introductory course on probability and statistics. This approach naturally reveals the underlying geometric structures common to these results. The talk is accessible to anyone familiar […] |
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Atul Vyas was an outstanding CMC student who was majoring in Mathematics and Physics. He tragically lost his life in a train crash that occurred on September 12, 2008 in […] |
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CCMS Colloquium invites you to a talk by Robert Sanchez (HMC) Title: Tides: Under the Sea and Under the Ice Abstract: Physical oceanography is the study of ocean fluid dynamics (e.g., waves, currents, plumes, turbulence). This talk will introduce physical oceanography and the methods used to analyze ocean data such as time-series analysis and numerical […] |
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Abstract: The problem of classification in machine learning has often been approached in terms of function approximation. In this talk, we propose an alternative approach for classification in arbitrary compact metric spaces which, in theory, yields both the number of classes, and a perfect classification using a minimal number of queried labels. Our approach uses […] |
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I will talk about some results concerning the non-vanishing of $L$-functions associated to fixed order characters $\ell$ at the central point over functions fields. Quadratic characters have been studied a […]
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We welcome all undergraduate/graduate students and faculty to attend topology seminar! Speaker: Chris Grossack (UC Riverside) Title: Explicitly Computing Fukaya Categories of Surfaces Abstract: Fukaya categories are rich and interesting […] |
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CCMS Colloquium invites you to a talk by Shriya Nagpal (Pitzer) Title: Synchronization in Erdős–Rényi Graphs with Kuramoto Dynamics: A Graphon Approach Abstract: Networks of coupled Kuramoto oscillators have been used to model a wide array of phenomena, including circadian rhythms, flashing fireflies, and high-voltage electric grids. In many such applications, synchronization is an emergent behavior […] |
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Abstract: Modern machine learning and scientific computing pose optimization challenges of unprecedented scale and complexity, demanding fundamental advances in both theory and algorithmic design for nonconvex optimization. This talk presents recent advances that address these challenges by exploiting matrix and tensor structures, integrating adaptivity, and leveraging sampling techniques. In the first part, I introduce AdaGO, […] |
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Hunter's theorem ensures that the complete homogeneous symmetric (CHS) polynomials of even degree are positive definite functions. We provide new proofs of Hunter's theorem, applications to operator theory, and a […]
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We welcome all undergraduate/graduate students and faculty to attend topology seminar! Speaker: Indraneel Tambe (UCLA) Title: Steinberg skein relations at roots of unity Abstract: This talk discusses some of the relationships between skein theory and the representation theory of quantum sl2 when q is a root of unity. Specifically, I focus on the Frobenius pullback […] |
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CCMS Colloquium invites you to a talk by Konstantin Zuev (Caltech) Title: Course-Prerequisite Networks Abstract: An academic curriculum is a complex system of courses and their interactions that lies at […] |
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This GEMS session will be facilitated by Professor Ryan Aschoff from the Claremont Graduate University. Title: Randomness: Creating Order from Chaos Abstract: From the hiss of white noise to the gentle hum of ocean waves, randomness surrounds us — yet hidden within that chaos lies remarkable order. In this talk, we’ll explore how unpredictable events, […] |