CMSA EVENTS
November 4, 2020 3:00 pmThe increasing dimensionality of data in the modern machine learning age presents new challenges and opportunities. The high-dimensional settings allow one to use powerful asymptotic methods from probability theory and...
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RANDOM MATRIX
November 4, 2020 2:00 pmThe SSK model was introduced by Kosterlitz, Thouless and Jones as a simplification of the usual SK model with Ising spins. Fluctuations of its observables may be related to quantities...
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HARVARD-MIT ALGEBRAIC GEOMETRY
November 3, 2020 3:00 pmDetermining the computational complexity of matrix multiplication has been one of the central open problems in theoretical computer science ever since in 1969 Strassen presented an algorithm for multiplication of...
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CMSA EVENTS
November 3, 2020 11:30 amLeast-mean squares (LMS) solvers such as Linear / Ridge / Lasso-Regression, SVD and Elastic-Net not only solve fundamental machine learning problems, but are also the building blocks in a variety of...
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MATHEMATICAL PICTURE LANGUAGE
November 3, 2020 10:00 amIn this talk, I present recent joint work with Tian Lan, Xiao-Gang Wen, Zhi-Hao Zhang and Hao Zheng (arXiv:2003.08898). We propose a mathematical theory of symmetry protected trivial (SPT) order,...
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MATHEMATICAL PICTURE LANGUAGE
November 3, 2020 10:00 amIn this talk, I present recent joint work with Tian Lan, Xiao-Gang Wen, Zhi-Hao Zhang and Hao Zheng (arXiv:2003.08898). We propose a mathematical theory of symmetry protected trivial (SPT) order,...
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CMSA EVENTS
November 2, 2020 10:30 amWe study the supersymmetric partition function of a 2d linear sigma-model whose target space is a torus with a complex structure that varies along one worldsheet direction and a Kähler...
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CMSA EVENTS
October 29, 2020 10:30 amThe twisted bilayer graphene (TBG) near the magic angle around 1 degree hosts topological flat moiré electron bands, and exhibits a rich tunable strongly interacting physics. Correlated insulators and Chern...
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MATH TABLE
October 28, 2020 4:30 pmThe purest forms of functional programming use monads to define computations that happen within contexts. For instance, the IO monad, which is a standard object in Haskell as well as...
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CMSA EVENTS
October 28, 2020 3:00 pmThe generalization gap of a learning algorithm is the expected difference between its performance on the training data and its performance on fresh unseen test samples. Modern deep learning algorithms...
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