MATHEMATICAL PICTURE LANGUAGE
December 14, 2021 9:30 am I will give an overview of recent joint work with Jinmin Wang, Shmuel Weinberger, and Zhizhang Xie on the resolutions of several open questions of Gromov on positive scalar...
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MATHEMATICAL PICTURE LANGUAGE
November 16, 2021 9:30 amWhen are two mathematical functions the same? One might think that this can be generally answered immediately from their definitions. However, functions may have numerous dissimilar alternative definitions. Fortunately, sameness...
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MATHEMATICAL PICTURE LANGUAGE
November 9, 2021 9:30 amQuantum maps are a popular model in physics: symplectic relations on tori are quantized to produce families of $N\times N$ matrices and the high energy limit corresponds to the large $N$ limit. They share a...
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MATHEMATICAL PICTURE LANGUAGE
November 2, 2021 9:30 amQuantum computers exhibit a variety of exponential enhancements over classical computers for performing linear algebraic operations. This talk reviews quantum algorithms for algebraic topology: I show how the central problem...
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MATHEMATICAL PICTURE LANGUAGE
October 26, 2021 9:30 amThe heart of modern machine learning (ML) is the approximation of high-dimensional functions. Traditional approaches, such as approximation by piecewise polynomials, wavelets, or other linear combinations of fixed basis functions,...
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MATHEMATICAL PICTURE LANGUAGE
June 22, 2021 10:00 amThe commutative graph complex, defined by contracting edges in graphs, was introduced by Kontsevich in 1993. Recently, Chan-Galatius-Payne have shown that its cohomology can be identified with a piece of...
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MATHEMATICAL PICTURE LANGUAGE
May 25, 2021 10:00 amWe will present some rigorous results about Relative entropy in QFT, motivated in part by recent physicists’ work which however depends on heuristic arguments such as introducing cut off and...
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MATHEMATICAL PICTURE LANGUAGE
May 18, 2021 10:00 amOne of the hottest sub-topics of machine learning in recent times has been Self-Supervised Learning (SSL). In SSL, a learning machine captures the dependencies between input variables, some of which...
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