
Learning elliptic partial differential equations with randomized linear algebra
Given inputoutput pairs of an elliptic partial differential equation (P...
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Overparametrized neural networks as underdetermined linear systems
We draw connections between simple neural networks and underdetermined ...
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The ultraspherical spectral element method
We introduce a novel spectral element method based on the ultraspherical...
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Computing spectral measures of selfadjoint operators
Using the resolvent operator, we develop an algorithm for computing smoo...
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Rational neural networks
We consider neural networks with rational activation functions. The choi...
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Anderson Acceleration Using the H^s Norm
Anderson acceleration (AA) is a technique for accelerating the convergen...
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Bounding Zolotarev numbers using Faber rational functions
By closely following a construction by Ganelius, we construct Faber rati...
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Computing with functions in the ball
A collection of algorithms in objectoriented MATLAB is described for nu...
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Chebyshev approximation and the global geometry of sloppy models
Sloppy models are complex nonlinear models with outcomes that are signif...
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Nice latent variable models have logrank
Matrices of low rank are pervasive in big data, appearing in recommender...
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Alex Townsend
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