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Function-Space Optimality of Neural Architectures with Multivariate Nonlinearities

Function-Space Optimality of Neural Architectures with Multivariate Nonlinearities

5 October 2023
Rahul Parhi
Michael Unser
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Papers citing "Function-Space Optimality of Neural Architectures with Multivariate Nonlinearities"

8 / 8 papers shown
Title
Solving Nonlinear PDEs with Sparse Radial Basis Function Networks
Solving Nonlinear PDEs with Sparse Radial Basis Function Networks
Zihan Shao
Konstantin Pieper
Xiaochuan Tian
31
0
0
12 May 2025
A Gap Between the Gaussian RKHS and Neural Networks: An Infinite-Center Asymptotic Analysis
A Gap Between the Gaussian RKHS and Neural Networks: An Infinite-Center Asymptotic Analysis
Akash Kumar
Rahul Parhi
Mikhail Belkin
46
0
0
22 Feb 2025
Mirror Descent on Reproducing Kernel Banach Spaces
Akash Kumar
Mikhail Belkin
Parthe Pandit
43
1
0
18 Nov 2024
Random ReLU Neural Networks as Non-Gaussian Processes
Random ReLU Neural Networks as Non-Gaussian Processes
Rahul Parhi
Pakshal Bohra
Ayoub El Biari
Mehrsa Pourya
Michael Unser
63
1
0
16 May 2024
A unified Fourier slice method to derive ridgelet transform for a
  variety of depth-2 neural networks
A unified Fourier slice method to derive ridgelet transform for a variety of depth-2 neural networks
Sho Sonoda
Isao Ishikawa
Masahiro Ikeda
49
4
0
25 Feb 2024
From Kernel Methods to Neural Networks: A Unifying Variational
  Formulation
From Kernel Methods to Neural Networks: A Unifying Variational Formulation
M. Unser
48
7
0
29 Jun 2022
Understanding neural networks with reproducing kernel Banach spaces
Understanding neural networks with reproducing kernel Banach spaces
Francesca Bartolucci
E. De Vito
Lorenzo Rosasco
Stefano Vigogna
47
50
0
20 Sep 2021
Near-Minimax Optimal Estimation With Shallow ReLU Neural Networks
Near-Minimax Optimal Estimation With Shallow ReLU Neural Networks
Rahul Parhi
Robert D. Nowak
56
38
0
18 Sep 2021
1