114 citations · 282 across the 15 of their papers we have counts for
4 papers · 1 filter
Over-parametrized neural networks as under-determined linear systems
Austin R. Benson, Anil Damle, Alex Townsend
We draw connections between simple neural networks and under-determined linear systems to comprehensively explore several interesting theoretical questions in the study of neural n…
Entrywise convergence of iterative methods for eigenproblems
Vasileios Charisopoulos, Austin R. Benson, Anil Damle
Several problems in machine learning, statistics, and other fields rely on computing eigenvectors. For large scale problems, the computation of these eigenvectors is typically perf…
Incrementally Updated Spectral Embeddings
Vasileios Charisopoulos, Austin R. Benson, Anil Damle
Several fundamental tasks in data science rely on computing an extremal eigenspace of size , where is the underlying problem dimension. For example, spectral clusterin…
Computing tensor Z-eigenvectors with dynamical systems
Austin R. Benson, David F. Gleich
We present a new framework for computing Z-eigenvectors of general tensors based on numerically integrating a dynamical system that can only converge to a Z-eigenvector. Our motiva…