notesum.ai

Published at December 6

cs.LG

cs.NA

math.NA

Released Date: December 6, 2024

Authors: Yang Jiang, Yuxiang Zhao¹, Quanhui Zhu¹

Aff.: ¹Department of Mathematics, Southern University of Science and Technology

Notation	Stands for …
$L$	Depth of hidden layers
$n$	Width of hidden layers
$N$	Number of total parameters
$m$	Sample size
$d$	Dimension of the input
$\phi$	The neurons of the output layer
$\beta$	Coefficients of the output layer
$M(\phi)$	The mass matrix of basis functions $\{\phi_{j}\}_{j=1}^{n}$
$r_{\epsilon}(M)$	The $\epsilon$ -rank of the mass matrix
$\epsilon$	Tolerance of eigenvalues