The recognition that theoretical models of natural language syntax have robust algebraic foundations is longstanding. Both the syntactic structures proposed (trees, semirings, etc.) and metrics developed to understand them (the […]
We especially welcome all undergraduates and graduate students to attend topology seminar! Speaker: Sam Nelson (Claremont McKenna College) Title: Virtual Biquandle Cocycle Quiver Representations Abstract: We construct a quiver representation valued invariant of virtual knots and links using virtual biquandle homology.
Speaker: Andrew J. Bernoff, Professor of Mathematics, Harvey Mudd College Abstract: An outstanding challenge in mathematical biology is using laboratory and/or field observations to tune a model’s functional form and parameter values. These problems lie at the intersection of dynamical systems and data science. In this talk I will discuss an ongoing project developing models […]
Speaker: Ana Maria Kenney, Assistant Professor, Department of Statistics, UC Irvine Title: Distilling heterogeneous treatment effects: Stable subgroup estimation in causal inference Abstract: Recent methodological developments have introduced new black-box approaches to better estimate heterogeneous treatment effects; however, these methods fall short of providing interpretable characterizations of the underlying individuals who may be most at […]
Title: Randomized Kaczmarz Methods for Corrupted Tensor Linear Systems Abstract: Recovering tensor-valued signals from corrupted measurements is a central problem in various applications such as hyperspectral image reconstruction and medical imaging. This talk considers tensor linear systems of the form AX = B, that contain observations potentially affected by sparse, large-magnitude corruptions. A quantile-based randomized […]
We especially welcome all undergraduates and graduate students to attend topology seminar! Speaker: David Bachman (Pitzer College) Title: Learning optimal knot projections Abstract: We use techniques from Reinforcement Learning to find knot projections which minimize crossing number.
CCMS Colloquium invites you to the Second Barbara Beechler Lecture by Professor Deanna Needell, Professor of Mathematics, Dunn Family Endowed Chair in Data Theory Executive Director, Institute for Digital Research and Education (IDRE) at UCLA. Title: Fairness and Foundations in Machine Learning Abstract: In this talk, we will address areas of recent work centered around the […]
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Biquandle arrow weights invariants are enhancements of the biquandle counting invariant for oriented virtual and classical knots defined from biquandle-colored Gauss diagrams using a tensor over an abelian group satisfying certain properties. In this talk, we categorify the biquandle arrow weight polynomial invariant using biquandle coloring quivers, obtaining new infinite families of polynomial invariants of […]
Abstract: Two-point boundary-value problems (BVPs) appear frequently in applied mathematics. When looking for solutions of boundary-value problems for some partial differential equations (PDEs) in mathematical physics, two-point BVPs come up as a result of applying the method of separation of variables, for instance. In the case of linear PDEs, the resulting two-point BVPs fall into […]
CCMS Colloquium invites you to a talk by Professor Ko Honda, Professor of Mathematics at UCLA. Title: Morse theory, Floer homology, and string topology Abstract: One of the most important theories in geometry/topology is Floer homology, which can be viewed as a Morse theory of a loop space of a manifold (a generalization of a surface to […]
