Hadamard powers and kernel perceptrons

被引：0

作者：

Damm, Tobias ^{[1
]}

Dietrich, Nicolas ^{[1
]}

机构：

[1] Univ Kaiserslautern Landau, Dept Math, Kaiserslautern, Germany

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 2023年 / 672卷

关键词：

Hadamard power; Kernel perceptron; Boolean matrix; Generic rank; MATRIX; POSITIVITY;

D O I：

10.1016/j.laa.2023.04.020

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study a relation between Hadamard powers and polyno-mial kernel perceptrons. The rank of Hadamard powers for the special case of a Boolean matrix and for the generic case of a real matrix is computed explicitly. These results are inter-preted in terms of the classification capacities of perceptrons.(c) 2023 Elsevier Inc. All rights reserved.

引用

页码：93 / 107

页数：15

共 50 条

[31] Rank and Kernel of Additive Generalized Hadamard Codes
Dougherty, Steven T.
Rifa, Josep
Villanueva, Merce
[J]. IEEE TRANSACTIONS ON INFORMATION THEORY, 2021, 67 (11) : 7210 - 7220
[32] ON HADAMARD POWERS OF POSITIVE SEMI-DEFINITE MATRICES
Baslingker, Jnaneshwar
Dan, Biltu
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2023, : 1395 - 1401
[33] Hadamard powers of rank two, doubly nonnegative matrices
Jain, Tanvi
[J]. ADVANCES IN OPERATOR THEORY, 2020, 5 (03) : 839 - 849
[34] Eigenvalues of Hadamard powers of large symmetric Pascal matrices
Ashrafi, A
Gibson, PM
[J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 2005, 405 : 60 - 66
[35] On the Hurwitz stability of noninteger Hadamard powers of stable polynomials
Bialas, Stanislaw
Bialas-Ciez, Leokadia
Kudra, Michal
[J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 2024, 683 : 111 - 124
[36] Some note on a positive tensor and its Hadamard powers eigenvalue
Mehri Pakmanesh
Hamidreza Afshin
[J]. Positivity, 2022, 26
[37] Some note on a positive tensor and its Hadamard powers eigenvalue
Pakmanesh, Mehri
Afshin, Hamidreza
[J]. POSITIVITY, 2022, 26 (03)
[38] Hadamard expansions for powers of causal Green’s operators and “resolvents”
Lennart Ronge
[J]. Annals of Global Analysis and Geometry, 2023, 64
[39] Hadamard expansions for powers of causal Green's operators and "resolvents"
Ronge, Lennart
[J]. ANNALS OF GLOBAL ANALYSIS AND GEOMETRY, 2023, 64 (02)
[40] A property concerning the Hadamard powers of inverse M-matrices
Chen, SC
[J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 2004, 381 : 53 - 60

← 1 2 3 4 5 →