Representation formulas and pointwise properties for Barron functions

10 June 2020

Papers citing "Representation formulas and pointwise properties for Barron functions"

18 / 18 papers shown

Title
High-dimensional classification problems with Barron regular boundaries under margin conditions Jonathan García Philipp Petersen 74 0 0 10 Dec 2024
Learning with Norm Constrained, Over-parameterized, Two-layer Neural Networks Fanghui Liu L. Dadi V. Cevher 77 2 0 29 Apr 2024
Understanding the training of infinitely deep and wide ResNets with Conditional Optimal Transport Raphael Barboni Gabriel Peyré Franccois-Xavier Vialard 32 3 0 19 Mar 2024
Learning a Sparse Representation of Barron Functions with the Inverse Scale Space Flow T. J. Heeringa Tim Roith Christoph Brune Martin Burger 11 0 0 05 Dec 2023
Embeddings between Barron spaces with higher order activation functions T. J. Heeringa L. Spek Felix L. Schwenninger C. Brune 24 3 0 25 May 2023
Penalising the biases in norm regularisation enforces sparsity Etienne Boursier Nicolas Flammarion 32 14 0 02 Mar 2023
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
Qualitative neural network approximation over R and C: Elementary proofs for analytic and polynomial activation Josiah Park Stephan Wojtowytsch 18 1 0 25 Mar 2022
Optimal learning of high-dimensional classification problems using deep neural networks P. Petersen F. Voigtlaender 25 10 0 23 Dec 2021
Tighter Sparse Approximation Bounds for ReLU Neural Networks Carles Domingo-Enrich Youssef Mroueh 91 4 0 07 Oct 2021
Wasserstein Generative Adversarial Uncertainty Quantification in Physics-Informed Neural Networks Yihang Gao Michael K. Ng 35 28 0 30 Aug 2021
Deep Network Approximation: Achieving Arbitrary Accuracy with Fixed Number of Neurons Zuowei Shen Haizhao Yang Shijun Zhang 43 36 0 06 Jul 2021
Two-layer neural networks with values in a Banach space Yury Korolev 21 23 0 05 May 2021
Optimal Approximation Rate of ReLU Networks in terms of Width and Depth Zuowei Shen Haizhao Yang Shijun Zhang 101 115 0 28 Feb 2021
A Note on the Representation Power of GHHs Zhou Lu 22 5 0 27 Jan 2021
Machine Learning and Computational Mathematics Weinan E PINN AI4CE 24 61 0 23 Sep 2020
Can Shallow Neural Networks Beat the Curse of Dimensionality? A mean field training perspective Stephan Wojtowytsch E. Weinan MLT 23 48 0 21 May 2020
$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 $\ell^1$ and $\ell^0$ Controls Jason M. Klusowski Andrew R. Barron 127 142 0 26 Jul 2016