Results 31 to 40 of about 1,554,075 (367)
Aiding Dictionary Learning Through Multi-Parametric Sparse Representation
Algorithms, 2019 The ℓ 1 relaxations of the sparse and cosparse representation problems which appear in the dictionary learning procedure are usually solved repeatedly (varying only the parameter vector), thus making them well-suited to a multi-parametric ...
Florin Stoican, Paul Irofti
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Noncomplete affine structures on Lie algebras of maximal class
International Journal of Mathematics and Mathematical Sciences, 2002 Every affine structure on Lie algebra 𝔤 defines a representation of 𝔤 in aff(ℝn). If 𝔤 is a nilpotent Lie algebra provided with a complete affine structure then the corresponding representation is nilpotent.
E. Remm, Michel Goze
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Representations of Affine Multifunctions by Affine Selections [PDF]
Set-Valued Analysis, 2008 The paper deals with affine selections of affine (both convex and concave) multifunctions acting between finite-dimensional real normed spaces. It is proved that each affine multifunction with compact values possesses an exhaustive family of affine selections and, consequently, can be represented by its affine selections.
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Quantum affine algebras and their representations
Journal of Pure and Applied Algebra, 1995 AbstractSome questions on the representation theory of quantum affine algebras are discussed from the categorical point of view.
D. Kazhdan, Y. Soibelman
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Representations of the Infinite-Dimensional Affine Group [PDF]
Methods of Functional Analysis and Topology, 2020 We introduce an infinite-dimensional affine group and construct its irreducible unitary representation. Our approach follows the one used by Vershik, Gelfand and Graev for the diffeomorphism group, but with modifications made necessary by the fact that the group does not act on the phase space.
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Representation formulas and pointwise properties for Barron functions [PDF]
Calculus of Variations and Partial Differential Equations, 2020 We study the natural function space for infinitely wide two-layer neural networks with ReLU activation (Barron space) and establish different representation formulae. In two cases, we describe the space explicitly up to isomorphism.
E. Weinan, Stephan Wojtowytsch
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Semisimple representations and affine rings [PDF]
Proceedings of the American Mathematical Society, 1987 If all finite-dimensional representations of an affine algebra are semisimple, then there are only finitely many representations of each degree.
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Affine representability of quadrics revisited
Journal of Algebra, 2022 Minor changes; to appear J ...
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Vertex representations of quantum affine algebras [PDF]
Proceedings of the National Academy of Sciences, 1988 We construct vertex representations of quantum affine algebras of ADE type, which were first introduced in greater generality by Drinfeld and Jimbo. The limiting special case of our construction is the untwisted vertex representation of affine Lie algebras of Frenkel-Kac and Segal.
Naihuan Jing, Igor Frenkel
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3D Fermion representation of affine Yangian
Nuclear Physics B, 2022 In this paper, we give the 3D (3 dimensional) Fermion representation of affine Yangian of gl(1). In special case h1=1,h2=−1,h3=0, the 3D Fermion operators Γm→ and Γm→⁎ become γm→ and γm→⁎ which have relations with 2D Fermions.
Na Wang, Ke Wu
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