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
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
收藏
页码:93 / 107
页数:15
相关论文
共 50 条
  • [1] Compressed Kernel Perceptrons
    Vucetic, Slobodan
    Coric, Vladimir
    Wang, Zhuang
    [J]. DCC 2009: 2009 DATA COMPRESSION CONFERENCE, PROCEEDINGS, 2008, : 153 - 162
  • [2] On Hadamard powers of polynomials
    Jiří Gregor
    Jaroslav Tiŝer
    [J]. Mathematics of Control, Signals and Systems, 1998, 11 : 372 - 378
  • [3] On Hadamard powers of polynomials
    Gregor, J
    Tiser, J
    [J]. MATHEMATICS OF CONTROL SIGNALS AND SYSTEMS, 1998, 11 (04) : 372 - 378
  • [4] Hadamard Products of Symbolic Powers and Hadamard Fat Grids
    Jafarloo, I. Bahmani
    Bocci, C.
    Guardo, E.
    Malara, G.
    [J]. MEDITERRANEAN JOURNAL OF MATHEMATICS, 2023, 20 (03)
  • [5] Hadamard Products of Symbolic Powers and Hadamard Fat Grids
    I. Bahmani Jafarloo
    C. Bocci
    E. Guardo
    G. Malara
    [J]. Mediterranean Journal of Mathematics, 2023, 20
  • [6] Comments on 'On Hadamard powers of polynomials'
    Bialas, Stanislaw
    Bialas-Ciez, Leokadia
    [J]. MATHEMATICS OF CONTROL SIGNALS AND SYSTEMS, 2017, 29 (03)
  • [7] Comments on ‘On Hadamard powers of polynomials’
    Stanisław Białas
    Leokadia Białas-Cież
    [J]. Mathematics of Control, Signals, and Systems, 2017, 29
  • [8] When powers of a matrix coincide with its Hadamard powers
    Drnovsek, Roman
    [J]. SPECIAL MATRICES, 2015, 3 (01): : 18 - 21
  • [9] Hadamard powers of some positive matrices
    Jain, Tanvi
    [J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 2017, 528 : 147 - 158
  • [10] Hadamard powers and totally positive matrices
    Fallat, Shaun M.
    Johnson, Charles R.
    [J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 2007, 423 (2-3) : 420 - 427