Results 11 to 20 of about 165,472 (304)
Multiresolution kernel matrix algebra [PDF]
Numerische Mathematik, 2022 AbstractWe propose a sparse algebra for samplet compressed kernel matrices to enable efficient scattered data analysis. We show that the compression of kernel matrices by means of samplets produces optimally sparse matrices in a certain S-format. The compression can be performed in cost and memory that scale essentially linearly with the number of data
H. Harbrecht +3 more
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Strong endomorphism kernel property for monounary algebras [PDF]
Mathematica Bohemica, 2018 All monounary algebras which have strong endomorphism kernel property are described.
Emília Halušková
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Semi-algebraic Approximation Using Christoffel–Darboux Kernel [PDF]
Constructive Approximation, 2021 We provide a new method to approximate a (possibly discontinuous) function using Christoffel-Darboux kernels. Our knowledge about the unknown multivariate function is in terms of finitely many moments of the Young measure supported on the graph of the function.
Swann Marx +4 more
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Kernel function and quantum algebras [PDF]
, 2010 20 pages,
Boris Feigin +4 more
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The Corona Problem for Kernel Multiplier Algebras [PDF]
Integral Equations and Operator Theory, 2016 v1: 34 pages. v2: 34 pages, typos corrected. v3: 35 pages, typos corrected, presentation improved. v4 35 pages, typos corrected and referee comments included.
Eric T. Sawyer, Brett D. Wick
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Algebraicity of the Bergman kernel
Mathematische Annalen, 2023 Our main result introduces a new way to characterize two-dimensional finite ball quotients by algebraicity of their Bergman kernels. This characterization is particular to dimension two and fails in higher dimensions, as is illustrated by a counterexample in dimension three constructed in this paper.
Peter Ebenfelt, Ming Xiao, Hang Xu
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Kernel Approximation on Algebraic Varieties
SIAM Journal on Applied Algebra and Geometry, 2023 Low-rank approximation of kernels is a fundamental mathematical problem with widespread algorithmic applications. Often the kernel is restricted to an algebraic variety, e.g., in problems involving sparse or low-rank data. We show that significantly better approximations are obtainable in this setting: the rank required to achieve a given error depends
Jason M. Altschuler, Pablo A. Parrilo
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Forum of Mathematics, Pi, 2023 We prove two theorems about the Malcev Lie algebra associated to the Torelli group of a surface of genus g: Stably, it is Koszul and the kernel of the Johnson homomorphism consists only of trivial $\mathrm {Sp}_{2g}(\mathbb {Z})$ -representations ...
Alexander Kupers, Oscar Randal-Williams
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Neutrosophic Vague Binary G-subalgebra of G-algebra [PDF]
Neutrosophic Sets and Systems, 2020 Nowadays, human society is using artificial intelligence in a large manner so as to upgrade the present existing applicational criteria’s and tools. Logic is the underlying principle to these works. Algebra is inevitably inter-connected with logic. Hence
P. B. Remya, A. Francina Shalini
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Alpha Ideals and the Space of Prime Alpha Ideals in Universal Algebras
Journal of Mathematics, 2021 The purpose of this paper is to study α-ideals in a more general context, in universal algebras having a constant 0. Several characterizations are obtained for an ideal I of an algebra A to be an α-ideal.
Gezahagne Mulat Addis
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