A unifying representer theorem for inverse problems and machine learning

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A unifying representer theorem for inverse problems and machine learning

Foundations of Computational Mathematics (FoCM), 2019

2 March 2019

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Papers citing "A unifying representer theorem for inverse problems and machine learning"

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Title
The Effects of Multi-Task Learning on ReLU Neural Network Functions Julia B. Nakhleh Joseph Shenouda Robert D. Nowak 319 1 0 29 Oct 2024
Global-to-Local Support Spectrums for Language Model Explainability Lucas Agussurja Xinyang Lu Bryan Kian Hsiang Low FAtt 146 0 0 12 Aug 2024
Efficient Algorithms for Regularized Nonnegative Scale-invariant Low-rank Approximation Models Jeremy E. Cohen Valentin Leplat 460 5 0 27 Mar 2024
Neural reproducing kernel Banach spaces and representer theorems for deep networks Francesca Bartolucci Ernesto De Vito Lorenzo Rosasco Stefano Vigogna 186 6 0 13 Mar 2024
Computerized Tomography and Reproducing KernelsSIAM Review (SIAM Rev.), 2023 Ho Yun V. Panaretos 186 1 0 13 Nov 2023
Function-Space Optimality of Neural Architectures with Multivariate NonlinearitiesSIAM Journal on Mathematics of Data Science (SIMODS), 2023 Rahul Parhi Michael Unser 332 5 0 05 Oct 2023
Weighted variation spaces and approximation by shallow ReLU networksApplied and Computational Harmonic Analysis (ACHA), 2023 Ronald A. DeVore Robert D. Nowak Rahul Parhi Jonathan W. Siegel 238 6 0 28 Jul 2023
Sparse Representer Theorems for Learning in Reproducing Kernel Banach SpacesJournal of machine learning research (JMLR), 2023 Rui Wang Yuesheng Xu Mingsong Yan 146 8 0 21 May 2023
Gradient Descent in Neural Networks as Sequential Learning in RKBS A. Shilton Sunil R. Gupta Santu Rana Svetha Venkatesh MLT 247 2 0 01 Feb 2023
Delaunay-Triangulation-Based Learning with Hessian Total-Variation RegularizationIEEE Open Journal of Signal Processing (JOSP), 2022 Mehrsa Pourya Alexis Goujon M. Unser 158 8 0 16 Aug 2022
Stability of Image-Reconstruction AlgorithmsIEEE Transactions on Computational Imaging (TCI), 2022 Pol del Aguila Pla Sebastian Neumayer M. Unser 333 11 0 14 Jun 2022
Optimal Learning P. Binev A. Bonito Ronald A. DeVore G. Petrova FedML 225 0 0 30 Mar 2022
Sparsest Univariate Learning Models Under Lipschitz ConstraintIEEE Open Journal of Signal Processing (JOSP), 2021 Shayan Aziznejad Thomas Debarre M. Unser 152 4 0 27 Dec 2021
Functional Estimation of Anisotropic Covariance and Autocovariance Operators on the SphereElectronic Journal of Statistics (EJS), 2021 Alessia Caponera Julien Fageot Matthieu Simeoni V. Panaretos 255 10 0 23 Dec 2021
Understanding neural networks with reproducing kernel Banach spaces Francesca Bartolucci Ernesto De Vito Lorenzo Rosasco Stefano Vigogna 242 58 0 20 Sep 2021
What Kinds of Functions do Deep Neural Networks Learn? Insights from Variational Spline TheorySIAM Journal on Mathematics of Data Science (SIMODS), 2021 Rahul Parhi Robert D. Nowak MLT 310 75 0 07 May 2021
Two-layer neural networks with values in a Banach spaceSIAM Journal on Mathematical Analysis (SIAM J. Math. Anal.), 2021 Yury Korolev 382 29 0 05 May 2021
Banach Space Representer Theorems for Neural Networks and Ridge Splines Rahul Parhi Robert D. Nowak 175 7 0 10 Jun 2020