2 citations · 2 across the 5 of their papers we have counts for
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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…
Parallel Skeletonization for Integral Equations in Evolving Multiply-Connected Domains
John Paul Ryan, Anil Damle
This paper presents a general method for applying hierarchical matrix skeletonization factorizations to the numerical solution of boundary integral equations with possibly rank-def…
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…
Uniform bounds for invariant subspace perturbations
Anil Damle, Yuekai Sun
For a fixed symmetric matrix A and symmetric perturbation E we develop purely deterministic bounds on how invariant subspaces of A and A+E can differ when measured by a suitable "r…