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Hadamard powers and kernel perceptrons

Authors :
Tobias Damm
Nicolas Dietrich
Source :
Linear Algebra and its Applications. 672:93-107
Publication Year :
2023
Publisher :
Elsevier BV, 2023.

Abstract

We study a relation between Hadamard powers and polynomial 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 interpreted in terms of the classification capacities of perceptrons.<br />Comment: 12 pages

Details

ISSN :
00243795
Volume :
672
Database :
OpenAIRE
Journal :
Linear Algebra and its Applications
Accession number :
edsair.doi.dedup.....a781d36e34b1aadea769be3819b4f5b2