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Banach Space Representer Theorems for Neural Networks and Ridge Splines

Banach Space Representer Theorems for Neural Networks and Ridge Splines

10 June 2020
Rahul Parhi
Robert D. Nowak
ArXivPDFHTML

Papers citing "Banach Space Representer Theorems for Neural Networks and Ridge Splines"

3 / 3 papers shown
Title
Fully-Connected Network on Noncompact Symmetric Space and Ridgelet
  Transform based on Helgason-Fourier Analysis
Fully-Connected Network on Noncompact Symmetric Space and Ridgelet Transform based on Helgason-Fourier Analysis
Sho Sonoda
Isao Ishikawa
Masahiro Ikeda
21
15
0
03 Mar 2022
Ridgeless Interpolation with Shallow ReLU Networks in $1D$ is Nearest
  Neighbor Curvature Extrapolation and Provably Generalizes on Lipschitz
  Functions
Ridgeless Interpolation with Shallow ReLU Networks in 1D1D1D is Nearest Neighbor Curvature Extrapolation and Provably Generalizes on Lipschitz Functions
Boris Hanin
MLT
40
9
0
27 Sep 2021
Approximation by Combinations of ReLU and Squared ReLU Ridge Functions
  with $ \ell^1 $ and $ \ell^0 $ Controls
Approximation by Combinations of ReLU and Squared ReLU Ridge Functions with ℓ1 \ell^1 ℓ1 and ℓ0 \ell^0 ℓ0 Controls
Jason M. Klusowski
Andrew R. Barron
132
142
0
26 Jul 2016
1