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Rahul Parhi
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Banach space representer theorems for neural networks and ridge splines
R Parhi, RD Nowak
Journal of Machine Learning Research 22 (43), 1-40, 2021
982021
The role of neural network activation functions
R Parhi, RD Nowak
IEEE Signal Processing Letters 27, 1779-1783, 2020
82*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
692022
Near-minimax optimal estimation with shallow ReLU neural networks
R Parhi, RD Nowak
IEEE Transactions on Information Theory 69 (2), 1125-1140, 2023
262023
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
182015
Deep Learning Meets Sparse Regularization: A Signal Processing Perspective
R Parhi, RD Nowak
IEEE Signal Processing Magazine 40 (6), 63-74, 2023
132023
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
82023
MP3: A more efficient private presence protocol
R Parhi, M Schliep, N Hopper
International Conference on Financial Cryptography and Data Security, 38-57, 2018
52018
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
42022
Weighted variation spaces and approximation by shallow ReLU networks
R DeVore, RD Nowak, R Parhi, JW Siegel
arXiv preprint arXiv:2307.15772, 2023
32023
On Ridge Splines, Neural Networks, and Variational Problems in Radon-Domain BV Spaces
R Parhi
University of Wisconsin–Madison, 2022
32022
Distributional Extension and Invertibility of the -Plane Transform and Its Dual
R Parhi, M Unser
arXiv preprint arXiv:2310.01233, 2023
22023
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
22023
A Continuous Transform for Localized Ridgelets
J Shenouda, R Parhi, RD Nowak
2023 International Conference on Sampling Theory and Applications (SampTA), 1-5, 2023
12023
Modulation Spaces and the Curse of Dimensionality
R Parhi, M Unser
2023 International Conference on Sampling Theory and Applications (SampTA), 1-5, 2023
12023
Function-Space Optimality of Neural Architectures With Multivariate Nonlinearities
R Parhi, M Unser
arXiv preprint arXiv:2310.03696, 2023
2023
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Articles 1–16