Banach space representer theorems for neural networks and ridge splines R Parhi, RD Nowak
Journal of Machine Learning Research 22 (43), 1-40, 2021
101 2021 The role of neural network activation functions R Parhi, RD Nowak
IEEE Signal Processing Letters 27, 1779-1783, 2020
84 * 2020 What Kinds of Functions Do Deep Neural Networks Learn? Insights from Variational Spline Theory R Parhi, RD Nowak
SIAM Journal on Mathematics of Data Science 4 (2), 464-489, 2022
69 2022 Near-minimax optimal estimation with shallow ReLU neural networks R Parhi, RD Nowak
IEEE Transactions on Information Theory 69 (2), 1125-1140, 2023
26 2023 Fault-tolerant ripple-carry binary adder using partial triple modular redundancy (PTMR) R Parhi, CH Kim, KK Parhi
2015 IEEE International Symposium on Circuits and Systems (ISCAS), 41-44, 2015
18 2015 Deep Learning Meets Sparse Regularization: A Signal Processing Perspective R Parhi, RD Nowak
IEEE Signal Processing Magazine 40 (6), 63-74, 2023
13 2023 Vector-Valued Variation Spaces and Width Bounds for DNNs: Insights on Weight Decay Regularization J Shenouda, R Parhi, K Lee, RD Nowak
arXiv preprint arXiv:2305.16534, 2023
8 2023 On Continuous-Domain Inverse Problems with Sparse Superpositions of Decaying Sinusoids as Solutions R Parhi, RD Nowak
ICASSP 2022-2022 IEEE International Conference on Acoustics, Speech and …, 2022
5 2022 MP3: A more efficient private presence protocol R Parhi, M Schliep, N Hopper
International Conference on Financial Cryptography and Data Security, 38-57, 2018
5 2018 Weighted variation spaces and approximation by shallow ReLU networks R DeVore, RD Nowak, R Parhi, JW Siegel
arXiv preprint arXiv:2307.15772, 2023
3 2023 On Ridge Splines, Neural Networks, and Variational Problems in Radon-Domain BV Spaces R Parhi
University of Wisconsin–Madison, 2022
3 2022 Distributional Extension and Invertibility of the -Plane Transform and Its Dual R Parhi, M Unser
arXiv preprint arXiv:2310.01233, 2023
2 2023 The Sparsity of Cycle Spinning for Wavelet-Based Solutions of Linear Inverse Problems R Parhi, M Unser
IEEE Signal Processing Letters 30, 568-572, 2023
2 2023 A Continuous Transform for Localized Ridgelets J Shenouda, R Parhi, RD Nowak
2023 International Conference on Sampling Theory and Applications (SampTA), 1-5, 2023
1 2023 Modulation Spaces and the Curse of Dimensionality R Parhi, M Unser
2023 International Conference on Sampling Theory and Applications (SampTA), 1-5, 2023
1 2023 Function-Space Optimality of Neural Architectures With Multivariate Nonlinearities R Parhi, M Unser
arXiv preprint arXiv:2310.03696, 2023
2023