Results 1 to 10 of about 1,082,837 (347)
Invertibility in the flag kernels algebra on the Heisenberg group [PDF]
Journal of Fourier Analysis and Applications, 2015 Flag kernels are tempered distributions which generalize these of Calderon-Zygmund type. For any homogeneous group $\mathbb{G}$ the class of operators which acts on $L^{2}(\mathbb{G})$ by convolution with a flag kernel is closed under composition. In the
Grzegorz Kępa
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Multiresolution kernel matrix algebra [PDF]
Numerische Mathematik, 2022 We 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
H. Harbrecht +3 more
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Block-encoding dense and full-rank kernels using hierarchical matrices: applications in quantum numerical linear algebra [PDF]
Quantum, 2022 Many quantum algorithms for numerical linear algebra assume black-box access to a block-encoding of the matrix of interest, which is a strong assumption when the matrix is not sparse.
Quynh T. Nguyen +2 more
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Convolutional kernel function algebra [PDF]
Frontiers in Computer Science, 2022 Many systems for image manipulation, signal analysis, machine learning, and scientific computing make use of discrete convolutional filters that are known before computation begins.
Edward Stow, Paul H. J. Kelly
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Kernel approximation on algebraic varieties [PDF]
SIAM Journal on Applied Algebra and Geometry, 2021 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.
Jason M. Altschuler, P. Parrilo
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A vertex operator algebra construction of the colour-kinematics dual numerator [PDF]
Journal of High Energy Physics, 2018 We derive a vertex operator based expression for the kinematic numerators of Yang-Mills amplitudes by applying the momentum kernel formalism to open string amplitudes. The expression involves an α ′ -weighted commutator induced by the monodromy relations
Chih-Hao Fu, Pierre Vanhove, Yihong Wang
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Congruency, Homomorphism and Isomorphism on Autometrized Algebras [version 2; peer review: 2 approved, 1 approved with reservations] [PDF]
F1000ResearchThis paper presents a study of congruence relations on autometrized algebras. We demonstrate that in a normal autometrized algebra, which satisfies certain conditions, the set of all congruence relations forms a complete sublattice within the set of all ...
Gebrie Yeshiwas Tilahun
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The inner kernel theorem for a certain Segal algebra [PDF]
Monatshefte für Mathematik (Print), 2018 The Segal algebra S0(G)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\
Mads S. Jakobsen, Hans G. Feichtinger
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Performance Portability Study of Linear Algebra Kernels in OpenCL [PDF]
, 2014 The performance portability of OpenCL kernel implementations for common memory bandwidth limited linear algebra operations across different hardware generations of the same vendor as well as across vendors is studied.
Karl Rupp +5 more
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A Study on Neutrosophic Algebra [PDF]
Neutrosophic Sets and Systems, 2022 The notion of neutrosophic algebra, ideal of neutrosophic algebra, kernel and neutrosophic quotient algebra have been proposed in this paper. We characterize some properties of neutrosophic algebra and proved that every quotient neutrosophic algebra is ...
T. Nagaiah +3 more
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