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Kolmogorov Width Decay and Poor Approximators in Machine Learning:
  Shallow Neural Networks, Random Feature Models and Neural Tangent Kernels

Kolmogorov Width Decay and Poor Approximators in Machine Learning: Shallow Neural Networks, Random Feature Models and Neural Tangent Kernels

21 May 2020
E. Weinan
Stephan Wojtowytsch
ArXivPDFHTML

Papers citing "Kolmogorov Width Decay and Poor Approximators in Machine Learning: Shallow Neural Networks, Random Feature Models and Neural Tangent Kernels"

9 / 9 papers shown
Title
Learning with Norm Constrained, Over-parameterized, Two-layer Neural
  Networks
Learning with Norm Constrained, Over-parameterized, Two-layer Neural Networks
Fanghui Liu
L. Dadi
V. Cevher
74
2
0
29 Apr 2024
Embeddings between Barron spaces with higher order activation functions
Embeddings between Barron spaces with higher order activation functions
T. J. Heeringa
L. Spek
Felix L. Schwenninger
C. Brune
21
3
0
25 May 2023
Reinforcement Learning with Function Approximation: From Linear to
  Nonlinear
Reinforcement Learning with Function Approximation: From Linear to Nonlinear
Jihao Long
Jiequn Han
19
5
0
20 Feb 2023
Duality for Neural Networks through Reproducing Kernel Banach Spaces
Duality for Neural Networks through Reproducing Kernel Banach Spaces
L. Spek
T. J. Heeringa
Felix L. Schwenninger
C. Brune
11
13
0
09 Nov 2022
Lagrangian PINNs: A causality-conforming solution to failure modes of
  physics-informed neural networks
Lagrangian PINNs: A causality-conforming solution to failure modes of physics-informed neural networks
R. Mojgani
Maciej Balajewicz
P. Hassanzadeh
PINN
25
45
0
05 May 2022
Qualitative neural network approximation over R and C: Elementary proofs
  for analytic and polynomial activation
Qualitative neural network approximation over R and C: Elementary proofs for analytic and polynomial activation
Josiah Park
Stephan Wojtowytsch
15
1
0
25 Mar 2022
Generalization Error of GAN from the Discriminator's Perspective
Generalization Error of GAN from the Discriminator's Perspective
Hongkang Yang
Weinan E
GAN
38
13
0
08 Jul 2021
Representation formulas and pointwise properties for Barron functions
Representation formulas and pointwise properties for Barron functions
E. Weinan
Stephan Wojtowytsch
20
79
0
10 Jun 2020
Can Shallow Neural Networks Beat the Curse of Dimensionality? A mean
  field training perspective
Can Shallow Neural Networks Beat the Curse of Dimensionality? A mean field training perspective
Stephan Wojtowytsch
E. Weinan
MLT
21
48
0
21 May 2020
1