Results 11 to 20 of about 10,264,632 (357)
The Representation Theory of Neural Networks [PDF]
Mathematics, 2021 In this work, we show that neural networks can be represented via the mathematical theory of quiver representations. More specifically, we prove that a neural network is a quiver representation with activation functions, a mathematical object that we ...
Marco Armenta, Pierre-Marc Jodoin
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Enumeration and Representation Theory of Spin Space Groups [PDF]
Physical Review X, 2023 Fundamental physical properties, such as phase transitions, electronic structures, and spin excitations, in all magnetic ordered materials, were ultimately believed to rely on the symmetry theory of magnetic space groups.
Xiaobin Chen +9 more
semanticscholar +1 more source
Representation Theory for Geometric Quantum Machine Learning [PDF]
arXiv.org, 2022 Recent advances in classical machine learning have shown that creating models with inductive biases encoding the symmetries of a problem can greatly improve performance. Importation of these ideas, combined with an existing rich body of work at the nexus
Michael Ragone +7 more
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Towards Understanding Grokking: An Effective Theory of Representation Learning [PDF]
Neural Information Processing Systems, 2022 We aim to understand grokking, a phenomenon where models generalize long after overfitting their training set. We present both a microscopic analysis anchored by an effective theory and a macroscopic analysis of phase diagrams describing learning ...
Ziming Liu +5 more
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Integral representation theory
Graduate Texts in Mathematics, 2021 In this chapter, we consider a slightly more general framework on the preceding chapters: we consider lattices as projective modules, and relate this to invertibility and representation theory in an integral sense.
J. Voight
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The Representation Theory of the Increasing Monoid [PDF]
Memoirs of the American Mathematical Society, 2018 We study the representation theory of the increasing monoid. Our results provide a fairly comprehensive picture of the representation category: for example, we describe the Grothendieck group (including the effective cone), classify injective objects ...
Sema Gunturkun, Andrew Snowden
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Effective Invariant Theory of Permutation Groups using Representation Theory [PDF]
, 2015 Using the theory of representations of the symmetric group, we propose an algorithm to compute the invariant ring of a permutation group. Our approach have the goal to reduce the amount of linear algebra computations and exploit a thinner combinatorial ...
A Colin +9 more
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Enumerative geometry and geometric representation theory [PDF]
Algebraic Geometry, 2017 This is an introduction to: (1) the enumerative geometry of rational curves in equivariant symplectic resolutions, and (2) its relation to the structures of geometric representation theory. Written for the 2015 Algebraic Geometry Summer Institute.
A. Okounkov
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REPRESENTATION THEORY OF W-ALGEBRAS AND HIGGS BRANCH CONJECTURE [PDF]
International Congress of Mathematicans, 2017 We survey a number of results regarding the representation theory of $W$-algebras and their connection with the resent development of the four dimensional $N=2$ superconformal field theories in physics.
T. Arakawa
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