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06/30/2023
The Implicit Bias of Minima Stability in Multivariate Shallow ReLU Networks
We study the type of solutions to which stochastic gradient descent conv...
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05/24/2023
Linear Neural Network Layers Promote Learning Single- and Multiple-Index Models
This paper explores the implicit bias of overparameterized neural networ...
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02/02/2022
The Role of Linear Layers in Nonlinear Interpolating Networks
This paper explores the implicit bias of overparameterized neural networ...
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10/03/2019
A Function Space View of Bounded Norm Infinite Width ReLU Nets: The Multivariate Case
A key element of understanding the efficacy of overparameterized neural ...
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01/13/2019
Neumann Networks for Inverse Problems in Imaging
Many challenging image processing tasks can be described by an ill-posed...
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04/26/2018
Tensor Methods for Nonlinear Matrix Completion
In the low rank matrix completion (LRMC) problem, the low rank assumptio...
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03/28/2017
Algebraic Variety Models for High-Rank Matrix Completion
We consider a generalization of low-rank matrix completion to the case w...
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02/03/2015
Recovery of Piecewise Smooth Images from Few Fourier Samples
We introduce a Prony-like method to recover a continuous domain 2-D piec...
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01/08/2015
Super-resolution MRI Using Finite Rate of Innovation Curves
We propose a two-stage algorithm for the super-resolution of MR images f...
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05/15/2014