Understanding neural networks with reproducing kernel Banach spaces

Understanding neural networks with reproducing kernel Banach spaces

20 September 2021

Francesca Bartolucci

Lorenzo Rosasco

Papers citing "Understanding neural networks with reproducing kernel Banach spaces"

15 / 15 papers shown

Title
Solving Nonlinear PDEs with Sparse Radial Basis Function Networks Zihan Shao Konstantin Pieper Xiaochuan Tian 31 0 0 12 May 2025
Sobolev norm inconsistency of kernel interpolation Yunfei Yang 34 0 0 29 Apr 2025
Irregular Sampling of High-Dimensional Functions in Reproducing Kernel Hilbert Spaces Armin Iske Lennart Ohlsen 29 0 0 18 Apr 2025
The Effects of Multi-Task Learning on ReLU Neural Network Functions Julia B. Nakhleh Joseph Shenouda Robert D. Nowak 34 1 0 29 Oct 2024
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
Learning with Norm Constrained, Over-parameterized, Two-layer Neural Networks Fanghui Liu L. Dadi V. Cevher 82 2 0 29 Apr 2024
Learning a Sparse Representation of Barron Functions with the Inverse Scale Space Flow T. J. Heeringa Tim Roith Christoph Brune Martin Burger 15 0 0 05 Dec 2023
Function-Space Optimality of Neural Architectures with Multivariate Nonlinearities Rahul Parhi Michael Unser 39 5 0 05 Oct 2023
Embeddings between Barron spaces with higher order activation functions T. J. Heeringa L. Spek Felix L. Schwenninger C. Brune 29 3 0 25 May 2023
ReLU Neural Networks with Linear Layers are Biased Towards Single- and Multi-Index Models Suzanna Parkinson Greg Ongie Rebecca Willett 62 6 0 24 May 2023
Deep Learning Meets Sparse Regularization: A Signal Processing Perspective Rahul Parhi Robert D. Nowak 40 25 0 23 Jan 2023
Duality for Neural Networks through Reproducing Kernel Banach Spaces L. Spek T. J. Heeringa Felix L. Schwenninger C. Brune 15 13 0 09 Nov 2022
Random Fourier Features for Asymmetric Kernels Ming-qian He Fan He Fanghui Liu Xiaolin Huang 22 3 0 18 Sep 2022
The Mori-Zwanzig formulation of deep learning D. Venturi Xiantao Li 18 1 0 12 Sep 2022
Tighter Sparse Approximation Bounds for ReLU Neural Networks Carles Domingo-Enrich Youssef Mroueh 99 4 0 07 Oct 2021