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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 […] |
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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 already very deep for algebraic curves defined over Q. An intrinsic natural number associated with the curve, called its genus, plays an important role in […] |
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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 really get from a larger size? In this presentation, we explore the concept of area starting from an everyday question—the pizza dilemma! We’ll review basic […] |
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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 iterations are performed between each AA step, referred to as the Alternating Anderson-Picard (AAP) method. Despite introducing more `slow' Picard iterations, this method has been […] |
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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 various arithmetic properties of a curve. A celebrated result of Faltings implies that all points on $C$ come in families of bounded degree, with finitely […]
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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 Chatsworth, California. The Mathematical Sciences Department at CMC fondly remembers Atul as someone who was equally excited by the power of mathematical abstraction and the […] |
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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 lot over the years, and very good non-vanishing results are available in this case, due to work of Soundararajan. When focusing on cubic and higher […]
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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 invariants of symplectic manifolds that are often difficult to compute in practice. In the case of surfaces, however, the computation becomes pleasantly combinatorial, and can […] |
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CCMS Colloquium invites you to a talk by Shriya Nagpal (Pitzer) Title: Abstract: Bio: |
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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 the heart of an academic institution and underlies its educational mission. Understanding these systems is essential for providing high-quality education. Course-prerequisite networks (CPNs) are directed […] |
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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, […] |
