Alex Townsend

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cornell university

Learning elliptic partial differential equations with randomized linear algebra

Given input-output pairs of an elliptic partial differential equation (P...
01/31/2021 ∙ by Nicolas Boullé, et al. ∙ 0 ∙ share

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Over-parametrized neural networks as under-determined linear systems

We draw connections between simple neural networks and under-determined ...
10/29/2020 ∙ by Austin R. Benson, et al. ∙ 0 ∙ share

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The ultraspherical spectral element method

We introduce a novel spectral element method based on the ultraspherical...
06/15/2020 ∙ by Daniel Fortunato, et al. ∙ 0 ∙ share

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Computing spectral measures of self-adjoint operators

Using the resolvent operator, we develop an algorithm for computing smoo...
06/02/2020 ∙ by Matthew J. Colbrook, et al. ∙ 0 ∙ share

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Rational neural networks

We consider neural networks with rational activation functions. The choi...
04/04/2020 ∙ by Nicolas Boullé, et al. ∙ 33 ∙ share

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Anderson Acceleration Using the H^-s Norm

Anderson acceleration (AA) is a technique for accelerating the convergen...
02/10/2020 ∙ by Yunan Yang, et al. ∙ 0 ∙ share

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Bounding Zolotarev numbers using Faber rational functions

By closely following a construction by Ganelius, we construct Faber rati...
11/26/2019 ∙ by Daniel Rubin, et al. ∙ 0 ∙ share

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Computing with functions in the ball

A collection of algorithms in object-oriented MATLAB is described for nu...
10/31/2019 ∙ by Nicolas Boullé, et al. ∙ 0 ∙ share

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Chebyshev approximation and the global geometry of sloppy models

Sloppy models are complex nonlinear models with outcomes that are signif...
09/22/2018 ∙ by Katherine N. Quinn, et al. ∙ 0 ∙ share

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Nice latent variable models have log-rank

Matrices of low rank are pervasive in big data, appearing in recommender...
05/21/2017 ∙ by Madeleine Udell, et al. ∙ 0 ∙ share

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Alex Townsend

Featured Co-authors

Austin R. Benson

Madeleine Udell

Daniel Rubin

Yuji Nakatsukasa

Anil Damle

Daniel Appelo

Yunan Yang

Nicolas Boullé

Matthew J. Colbrook

Andrew Horning

James P. Sethna

Learning elliptic partial differential equations with randomized linear algebra

Over-parametrized neural networks as under-determined linear systems

The ultraspherical spectral element method

Computing spectral measures of self-adjoint operators

Rational neural networks

Anderson Acceleration Using the H^-s Norm

Bounding Zolotarev numbers using Faber rational functions

Computing with functions in the ball

Chebyshev approximation and the global geometry of sloppy models

Nice latent variable models have log-rank