Alex Townsend

Numer. Linear Algebra Appl., January, 2024

Operator learning without the adjoint.

[BibT_eX]

[DOI]

CoRR, 2024

2023

Parallel Algorithms for Computing the Tensor-Train Decomposition.

[BibT_eX]

[DOI]

Tianyi Shi

Maximilian Ruth

SIAM J. Sci. Comput., June, 2023

Learning Elliptic Partial Differential Equations with Randomized Linear Algebra.

[BibT_eX]

[DOI]

Found. Comput. Math., April, 2023

Operator learning for hyperbolic partial differential equations.

[BibT_eX]

[DOI]

Christopher Wang

CoRR, 2023

A Mathematical Guide to Operator Learning.

[BibT_eX]

[DOI]

CoRR, 2023

ContHutch++: Stochastic trace estimation for implicit integral operators.

[BibT_eX]

[DOI]

Jennifer Zvonek

Andrew Horning

CoRR, 2023

Beyond expectations: Residual Dynamic Mode Decomposition and Variance for Stochastic Dynamical Systems.

[BibT_eX]

[DOI]

CoRR, 2023

Avoiding discretization issues for nonlinear eigenvalue problems.

[BibT_eX]

[DOI]

Matthew J. Colbrook

CoRR, 2023

Leveraging the Hankel norm approximation and block-AAA algorithms in reduced order modeling.

[BibT_eX]

[DOI]

CoRR, 2023

Elliptic PDE learning is provably data-efficient.

[BibT_eX]

[DOI]

CoRR, 2023

Are sketch-and-precondition least squares solvers numerically stable?

[BibT_eX]

[DOI]

CoRR, 2023

Tuning Frequency Bias in Neural Network Training with Nonuniform Data.

[BibT_eX]

[DOI]

Proceedings of the Eleventh International Conference on Learning Representations, 2023

2022

Data-Driven Algorithms for Signal Processing with Trigonometric Rational Functions.

[BibT_eX]

[DOI]

Anil Damle

SIAM J. Sci. Comput., 2022

Learning Green's functions associated with time-dependent partial differential equations.

[BibT_eX]

[DOI]

J. Mach. Learn. Res., 2022

Anderson acceleration based on the H-s Sobolev norm for contractive and noncontractive fixed-point operators.

[BibT_eX]

[DOI]

Daniel Appelö

J. Comput. Appl. Math., 2022

Matrix recovery from matrix-vector products.

[BibT_eX]

[DOI]

CoRR, 2022

A Quadrature Perspective on Frequency Bias in Neural Network Training with Nonuniform Data.

[BibT_eX]

[DOI]

CoRR, 2022

Learning Green's functions associated with parabolic partial differential equations.

[BibT_eX]

[DOI]

CoRR, 2022

On the stability of unevenly spaced samples for interpolation and quadrature.

[BibT_eX]

[DOI]

CoRR, 2022

Probabilistic Missing Value Imputation for Mixed Categorical and Ordered Data.

[BibT_eX]

[DOI]

Yuxuan Zhao

Madeleine Udell

Proceedings of the Advances in Neural Information Processing Systems 35: Annual Conference on Neural Information Processing Systems 2022, 2022

A generalization of the randomized singular value decomposition.

[BibT_eX]

[DOI]

Proceedings of the Tenth International Conference on Learning Representations, 2022

2021

Computing Spectral Measures of Self-Adjoint Operators.

[BibT_eX]

[DOI]

Matthew J. Colbrook

Andrew Horning

SIAM Rev., 2021

Error Localization of Best L<sub>1</sub> Polynomial Approximants.

[BibT_eX]

[DOI]

SIAM J. Numer. Anal., 2021

On the Compressibility of Tensors.

[BibT_eX]

[DOI]

Tianyi Shi

SIAM J. Matrix Anal. Appl., 2021

The ultraspherical spectral element method.

[BibT_eX]

[DOI]

Daniel Fortunato

J. Comput. Phys., 2021

Rigorous data-driven computation of spectral properties of Koopman operators for dynamical systems.

[BibT_eX]

[DOI]

Matthew J. Colbrook

CoRR, 2021

Arbitrary-Depth Universal Approximation Theorems for Operator Neural Networks.

[BibT_eX]

[DOI]

Chloé Becquey

Matthew Esmaili Mallory

CoRR, 2021

Data-driven Algorithms for signal processing with rational functions.

[BibT_eX]

[DOI]

Anil Damle

CoRR, 2021

Data-driven discovery of physical laws with human-understandable deep learning.

[BibT_eX]

[DOI]

Christopher J. Earls

CoRR, 2021

An optimal complexity spectral method for Navier-Stokes simulations in the ball.

[BibT_eX]

[DOI]

Jonasz Slomka

CoRR, 2021

2020

Computing with Functions in the Ball.

[BibT_eX]

[DOI]

SIAM J. Sci. Comput., 2020

FEAST for Differential Eigenvalue Problems.

[BibT_eX]

[DOI]

Andrew Horning

SIAM J. Numer. Anal., 2020

Over-parametrized neural networks as under-determined linear systems.

[BibT_eX]

[DOI]

Austin R. Benson

Anil Damle

CoRR, 2020

Anderson Acceleration Using the H<sup>-s</sup> Norm.

[BibT_eX]

[DOI]

Daniel Appelö

CoRR, 2020

Fast algorithms using orthogonal polynomials.

[BibT_eX]

[DOI]

Richard Mikaël Slevinsky

Acta Numer., 2020

Rational neural networks.

[BibT_eX]

[DOI]

Proceedings of the Advances in Neural Information Processing Systems 33: Annual Conference on Neural Information Processing Systems 2020, 2020

2019

Why Are Big Data Matrices Approximately Low Rank?

[BibT_eX]

[DOI]

Madeleine Udell

SIAM J. Math. Data Sci., 2019

A Sparse Spectral Method on Triangles.

[BibT_eX]

[DOI]

Geoffrey M. Vasil

SIAM J. Sci. Comput., 2019

Bounds on the Singular Values of Matrices with Displacement Structure.

[BibT_eX]

[DOI]

Bernhard Beckermann

SIAM Rev., 2019

Continuous Analogues of Krylov Subspace Methods for Differential Operators.

[BibT_eX]

[DOI]

Marc Aurèle Gilles

SIAM J. Numer. Anal., 2019

Stable Extrapolation of Analytic Functions.

[BibT_eX]

[DOI]

Laurent Demanet

Found. Comput. Math., 2019

Bounding Zolotarev numbers using Faber rational functions.

[BibT_eX]

[DOI]

Daniel Rubin

CoRR, 2019

2018

A Nonuniform Fast Fourier Transform Based on Low Rank Approximation.

[BibT_eX]

[DOI]

Diego Ruiz-Antolín

SIAM J. Sci. Comput., 2018

Fast polynomial transforms based on Toeplitz and Hankel matrices.

[BibT_eX]

[DOI]

Marcus Webb

Math. Comput., 2018

Chebyshev approximation and the global geometry of sloppy models.

[BibT_eX]

[DOI]

CoRR, 2018

2017

Computing with Functions in Spherical and Polar Geometries II. The Disk.

[BibT_eX]

[DOI]

Grady B. Wright

SIAM J. Sci. Comput., 2017

Vector Spaces of Linearizations for Matrix Polynomials: A Bivariate Polynomial Approach.

[BibT_eX]

[DOI]

SIAM J. Matrix Anal. Appl., 2017

On the Singular Values of Matrices with Displacement Structure.

[BibT_eX]

[DOI]

Bernhard Beckermann

SIAM J. Matrix Anal. Appl., 2017

Nice latent variable models have log-rank.

[BibT_eX]

[DOI]

Madeleine Udell

CoRR, 2017

2016

Computing with Functions in Spherical and Polar Geometries I. The Sphere.

[BibT_eX]

[DOI]

Grady B. Wright

SIAM J. Sci. Comput., 2016

Numerical Instability of Resultant Methods for Multidimensional Rootfinding.

[BibT_eX]

[DOI]

SIAM J. Numer. Anal., 2016

2015

A Fast Analysis-Based Discrete Hankel Transform Using Asymptotic Expansions.

[BibT_eX]

[DOI]

SIAM J. Numer. Anal., 2015

Computing the common zeros of two bivariate functions via Bézout resultants.

[BibT_eX]

[DOI]

Numerische Mathematik, 2015

The automatic solution of partial differential equations using a global spectral method.

[BibT_eX]

[DOI]

J. Comput. Phys., 2015

Are resultant methods numerically unstable for multidimensional rootfinding?

[BibT_eX]

[DOI]

CoRR, 2015

2014

An Algorithm for the Convolution of Legendre Series.

[BibT_eX]

[DOI]

SIAM J. Sci. Comput., 2014

A Fast, Simple, and Stable Chebyshev-Legendre Transform Using an Asymptotic Formula.

[BibT_eX]

[DOI]

SIAM J. Sci. Comput., 2014

A practical framework for infinite-dimensional linear algebra.

[BibT_eX]

[DOI]

Proceedings of the 1st First Workshop for High Performance Technical Computing in Dynamic Languages, 2014

2013

An Extension of Chebfun to Two Dimensions.

[BibT_eX]

[DOI]

Lloyd N. Trefethen

SIAM J. Sci. Comput., 2013

Fast and Accurate Computation of Gauss-Legendre and Gauss-Jacobi Quadrature Nodes and Weights.

[BibT_eX]

[DOI]

SIAM J. Sci. Comput., 2013

A Fast and Well-Conditioned Spectral Method.

[BibT_eX]

[DOI]