323 citations · 747 across the 16 of their papers we have counts for
16 papers
Proposal of a Score Based Approach to Sampling Using Monte Carlo Estimation of Score and Oracle Access to Target Density
Curtis McDonald, Andrew Barron
Score based approaches to sampling have shown much success as a generative algorithm to produce new samples from a target density given a pool of initial samples. In this work, we…
Sparse Regression Codes
Ramji Venkataramanan, Sekhar Tatikonda, Andrew Barron
Developing computationally-efficient codes that approach the Shannon-theoretic limits for communication and compression has long been one of the major goals of information and codi…
Complexity, Statistical Risk, and Metric Entropy of Deep Nets Using Total Path Variation
Andrew R. Barron, Jason M. Klusowski
For any ReLU network there is a representation in which the sum of the absolute values of the weights into each node is exactly , and the input layer variables are multiplied by…
Approximation and Estimation for High-Dimensional Deep Learning Networks
Andrew R. Barron, Jason M. Klusowski
It has been experimentally observed in recent years that multi-layer artificial neural networks have a surprising ability to generalize, even when trained with far more parameters…
Minimax Lower Bounds for Ridge Combinations Including Neural Nets
Jason M. Klusowski, Andrew R. Barron
Estimation of functions of variables is considered using ridge combinations of the form where th…
Approximation by Combinations of ReLU and Squared ReLU Ridge Functions with and Controls
Jason M. Klusowski, Andrew R. Barron
We establish and error bounds for functions of many variables that are approximated by linear combinations of ReLU (rectified linear unit) and squared ReLU r…