Communities
Connect sessions
AI calendar
Organizations
Join Slack
Contact Sales
Search
Open menu
Home
Papers
2109.09710
Cited By
v1
v2 (latest)
Understanding neural networks with reproducing kernel Banach spaces
20 September 2021
Francesca Bartolucci
Ernesto De Vito
Lorenzo Rosasco
Stefano Vigogna
Re-assign community
ArXiv (abs)
PDF
HTML
Papers citing
"Understanding neural networks with reproducing kernel Banach spaces"
40 / 40 papers shown
Vector-Valued Reproducing Kernel Banach Spaces for Neural Networks and Operators
Sven Dummer
Tjeerd Jan Heeringa
José A. Iglesias
219
3
0
30 Sep 2025
Manipulating Transformer-Based Models: Controllability, Steerability, and Robust Interventions
Faruk Alpay
Taylan Alpay
LM&Ro
198
1
0
04 Sep 2025
Solving Nonlinear PDEs with Sparse Radial Basis Function Networks
Zihan Shao
Konstantin Pieper
Xiaochuan Tian
545
5
0
12 May 2025
Sobolev norm inconsistency of kernel interpolation
Analysis and Applications (AA), 2025
Yunfei Yang
414
0
0
29 Apr 2025
Irregular Sampling of High-Dimensional Functions in Reproducing Kernel Hilbert Spaces
International Conference on Sampling Theory and Applications (SampTA), 2025
Armin Iske
Lennart Ohlsen
300
0
0
18 Apr 2025
A Gap Between the Gaussian RKHS and Neural Networks: An Infinite-Center Asymptotic Analysis
Annual Conference Computational Learning Theory (COLT), 2025
Akash Kumar
Rahul Parhi
Mikhail Belkin
395
1
0
22 Feb 2025
Mirror Descent on Reproducing Kernel Banach Spaces
Akash Kumar
Mikhail Belkin
Parthe Pandit
368
3
0
18 Nov 2024
Weighted Sobolev Approximation Rates for Neural Networks on Unbounded Domains
Ahmed Abdeljawad
Thomas Dittrich
215
4
0
06 Nov 2024
The Effects of Multi-Task Learning on ReLU Neural Network Functions
Julia B. Nakhleh
Joseph Shenouda
Robert D. Nowak
447
1
0
29 Oct 2024
A Lipschitz spaces view of infinitely wide shallow neural networks
Francesca Bartolucci
Marcello Carioni
José A. Iglesias
Yury Korolev
Emanuele Naldi
Stefano Vigogna
409
2
0
18 Oct 2024
Nonuniform random feature models using derivative information
Konstantin Pieper
Zezhong Zhang
Guannan Zhang
243
3
0
03 Oct 2024
Dataset Condensation with Latent Quantile Matching
Wei Wei
Tom De Schepper
Kevin Mets
DD
369
7
0
14 Jun 2024
ReLUs Are Sufficient for Learning Implicit Neural Representations
Joseph Shenouda
Yamin Zhou
Robert D. Nowak
292
7
0
04 Jun 2024
Novel Kernel Models and Exact Representor Theory for Neural Networks Beyond the Over-Parameterized Regime
A. Shilton
Sunil R. Gupta
Santu Rana
Svetha Venkatesh
237
0
0
24 May 2024
Random ReLU Neural Networks as Non-Gaussian Processes
Rahul Parhi
Pakshal Bohra
Ayoub El Biari
Mehrsa Pourya
Michael Unser
453
4
0
16 May 2024
Learning with Norm Constrained, Over-parameterized, Two-layer Neural Networks
Fanghui Liu
L. Dadi
Volkan Cevher
482
10
0
29 Apr 2024
Neural reproducing kernel Banach spaces and representer theorems for deep networks
Francesca Bartolucci
Ernesto De Vito
Lorenzo Rosasco
Stefano Vigogna
260
7
0
13 Mar 2024
Hypothesis Spaces for Deep Learning
Rui Wang
Yuesheng Xu
Mingsong Yan
341
5
0
05 Mar 2024
Which Spaces can be Embedded in Reproducing Kernel Hilbert Spaces?
Max Scholpple
Ingo Steinwart
337
6
0
22 Dec 2023
Learning a Sparse Representation of Barron Functions with the Inverse Scale Space Flow
Journal of Machine Learning (JML), 2023
T. J. Heeringa
Tim Roith
Christoph Brune
Martin Burger
279
1
0
05 Dec 2023
Barron Space for Graph Convolution Neural Networks
Seok-Young Chung
Qiyu Sun
GNN
243
2
0
06 Nov 2023
Function-Space Optimality of Neural Architectures with Multivariate Nonlinearities
SIAM Journal on Mathematics of Data Science (SIMODS), 2023
Rahul Parhi
Michael Unser
464
5
0
05 Oct 2023
Tractability of approximation by general shallow networks
Analysis and Applications (AA), 2023
H. Mhaskar
Tong Mao
209
6
0
07 Aug 2023
Neural Hilbert Ladders: Multi-Layer Neural Networks in Function Space
Journal of machine learning research (JMLR), 2023
Zhengdao Chen
512
4
0
03 Jul 2023
Nonparametric regression using over-parameterized shallow ReLU neural networks
Journal of machine learning research (JMLR), 2023
Yunfei Yang
Ding-Xuan Zhou
398
18
0
14 Jun 2023
Variation Spaces for Multi-Output Neural Networks: Insights on Multi-Task Learning and Network Compression
Journal of machine learning research (JMLR), 2023
Joseph Shenouda
Rahul Parhi
Kangwook Lee
Robert D. Nowak
388
21
0
25 May 2023
Embeddings between Barron spaces with higher order activation functions
Applied and Computational Harmonic Analysis (ACHA), 2023
T. J. Heeringa
L. Spek
Felix L. Schwenninger
C. Brune
250
5
0
25 May 2023
ReLU Neural Networks with Linear Layers are Biased Towards Single- and Multi-Index Models
SIAM Journal on Mathematics of Data Science (SIMODS), 2023
Suzanna Parkinson
Greg Ongie
Rebecca Willett
585
8
0
24 May 2023
Sparse Representer Theorems for Learning in Reproducing Kernel Banach Spaces
Journal of machine learning research (JMLR), 2023
Rui Wang
Yuesheng Xu
Mingsong Yan
234
11
0
21 May 2023
Approximation by non-symmetric networks for cross-domain learning
Neural Networks (Neural Netw.), 2023
H. Mhaskar
384
2
0
06 May 2023
Optimal rates of approximation by shallow ReLU
k
^k
k
neural networks and applications to nonparametric regression
Constructive approximation (Constr. Approx.), 2023
Yunfei Yang
Ding-Xuan Zhou
422
25
0
04 Apr 2023
Gradient Descent in Neural Networks as Sequential Learning in RKBS
A. Shilton
Sunil R. Gupta
Santu Rana
Svetha Venkatesh
MLT
403
2
0
01 Feb 2023
Deep Learning Meets Sparse Regularization: A Signal Processing Perspective
IEEE Signal Processing Magazine (IEEE Signal Process. Mag.), 2023
Rahul Parhi
Robert D. Nowak
398
37
0
23 Jan 2023
Duality for Neural Networks through Reproducing Kernel Banach Spaces
Social Science Research Network (SSRN), 2022
L. Spek
T. J. Heeringa
Felix L. Schwenninger
C. Brune
527
18
0
09 Nov 2022
Random Fourier Features for Asymmetric Kernels
Machine-mediated learning (ML), 2022
Ming-qian He
Fan He
Fanghui Liu
Xiaolin Huang
341
7
0
18 Sep 2022
The Mori-Zwanzig formulation of deep learning
Research in the Mathematical Sciences (Res. Math. Sci.), 2022
D. Venturi
Xiantao Li
355
2
0
12 Sep 2022
From Kernel Methods to Neural Networks: A Unifying Variational Formulation
Foundations of Computational Mathematics (FoCM), 2022
M. Unser
291
9
0
29 Jun 2022
Stability of Image-Reconstruction Algorithms
IEEE Transactions on Computational Imaging (TCI), 2022
Pol del Aguila Pla
Sebastian Neumayer
M. Unser
469
12
0
14 Jun 2022
Tighter Sparse Approximation Bounds for ReLU Neural Networks
Carles Domingo-Enrich
Youssef Mroueh
339
4
0
07 Oct 2021
Reproducing Kernel Hilbert Spaces Cannot Contain all Continuous Functions on a Compact Metric Space
Archiv der Mathematik (Arch. Math.), 2020
Ingo Steinwart
186
11
0
08 Feb 2020
1
Page 1 of 1
