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2020 – today
- 2024
[j35]Diana Halikias
, Alex Townsend:
Structured matrix recovery from matrix-vector products. Numer. Linear Algebra Appl. 31(1) (2024)- [j34]Annan Yu, Alex Townsend:
Leveraging the Hankel norm approximation and data-driven algorithms in reduced order modeling. Numer. Linear Algebra Appl. 31(4) (2024) - [j33]Maike Meier, Yuji Nakatsukasa, Alex Townsend, Marcus Webb:
Are Sketch-and-Precondition Least Squares Solvers Numerically Stable? SIAM J. Matrix Anal. Appl. 45(2): 905-929 (2024) - [i35]Nicolas Boullé, Diana Halikias, Samuel E. Otto, Alex Townsend:
Operator learning without the adjoint. CoRR abs/2401.17739 (2024) - [i34]Anil Damle, Silke Glas, Alex Townsend, Annan Yu:
How to reveal the rank of a matrix? CoRR abs/2405.04330 (2024) - [i33]Emil Graf, Alex Townsend:
Numerical Instability of Algebraic Rootfinding Methods. CoRR abs/2408.02805 (2024) - [i32]Sungwoo Jeong, Alex Townsend:
Extending Mercer's expansion to indefinite and asymmetric kernels. CoRR abs/2409.16453 (2024) - 2023
- [j32]Nicolas Boullé, Alex Townsend:
Learning Elliptic Partial Differential Equations with Randomized Linear Algebra. Found. Comput. Math. 23(2): 709-739 (2023) - [j31]Tianyi Shi, Maximilian Ruth, Alex Townsend:
Parallel Algorithms for Computing the Tensor-Train Decomposition. SIAM J. Sci. Comput. 45(3): 101-130 (2023) - [c5]Annan Yu, Yunan Yang, Alex Townsend:
Tuning Frequency Bias in Neural Network Training with Nonuniform Data. ICLR 2023 - [i31]Maike Meier, Yuji Nakatsukasa, Alex Townsend, Marcus Webb:
Are sketch-and-precondition least squares solvers numerically stable? CoRR abs/2302.07202 (2023) - [i30]Nicolas Boullé, Diana Halikias, Alex Townsend:
Elliptic PDE learning is provably data-efficient. CoRR abs/2302.12888 (2023) - [i29]Annan Yu, Alex Townsend:
Leveraging the Hankel norm approximation and block-AAA algorithms in reduced order modeling. CoRR abs/2304.03813 (2023) - [i28]Matthew J. Colbrook, Alex Townsend:
Avoiding discretization issues for nonlinear eigenvalue problems. CoRR abs/2305.01691 (2023) - [i27]Matthew J. Colbrook, Qin Li, Ryan V. Raut, Alex Townsend:
Beyond expectations: Residual Dynamic Mode Decomposition and Variance for Stochastic Dynamical Systems. CoRR abs/2308.10697 (2023) - [i26]Jennifer Zvonek, Andrew Horning, Alex Townsend:
ContHutch++: Stochastic trace estimation for implicit integral operators. CoRR abs/2311.07035 (2023) - [i25]Nicolas Boullé, Alex Townsend:
A Mathematical Guide to Operator Learning. CoRR abs/2312.14688 (2023) - [i24]Christopher Wang, Alex Townsend:
Operator learning for hyperbolic partial differential equations. CoRR abs/2312.17489 (2023) - 2022
- [j30]Yunan Yang, Alex Townsend, Daniel Appelö:
Anderson acceleration based on the H-s Sobolev norm for contractive and noncontractive fixed-point operators. J. Comput. Appl. Math. 403: 113844 (2022) - [j29]Nicolas Boullé, Seick Kim, Tianyi Shi, Alex Townsend:
Learning Green's functions associated with time-dependent partial differential equations. J. Mach. Learn. Res. 23: 218:1-218:34 (2022) - [j28]Heather Wilber, Anil Damle, Alex Townsend:
Data-Driven Algorithms for Signal Processing with Trigonometric Rational Functions. SIAM J. Sci. Comput. 44(3): 185- (2022) - [c4]Nicolas Boullé, Alex Townsend:
A generalization of the randomized singular value decomposition. ICLR 2022 - [c3]Yuxuan Zhao, Alex Townsend, Madeleine Udell:
Probabilistic Missing Value Imputation for Mixed Categorical and Ordered Data. NeurIPS 2022 - [i23]Annan Yu, Alex Townsend:
On the stability of unevenly spaced samples for interpolation and quadrature. CoRR abs/2202.04722 (2022) - [i22]Nicolas Boullé, Seick Kim, Tianyi Shi, Alex Townsend:
Learning Green's functions associated with parabolic partial differential equations. CoRR abs/2204.12789 (2022) - [i21]Annan Yu, Yunan Yang, Alex Townsend:
A Quadrature Perspective on Frequency Bias in Neural Network Training with Nonuniform Data. CoRR abs/2205.14300 (2022) - [i20]Diana Halikias, Alex Townsend:
Matrix recovery from matrix-vector products. CoRR abs/2212.09841 (2022) - 2021
- [j27]Daniel Fortunato, Nicholas Hale, Alex Townsend:
The ultraspherical spectral element method. J. Comput. Phys. 436: 110087 (2021) - [j26]Tianyi Shi, Alex Townsend:
On the Compressibility of Tensors. SIAM J. Matrix Anal. Appl. 42(1): 275-298 (2021) - [j25]Yuji Nakatsukasa, Alex Townsend:
Error Localization of Best L1 Polynomial Approximants. SIAM J. Numer. Anal. 59(1): 314-333 (2021) - [j24]Matthew J. Colbrook, Andrew Horning, Alex Townsend:
Computing Spectral Measures of Self-Adjoint Operators. SIAM Rev. 63(3): 489-524 (2021) - [i19]Nicolas Boullé, Alex Townsend:
Learning elliptic partial differential equations with randomized linear algebra. CoRR abs/2102.00491 (2021) - [i18]Nicolas Boullé, Jonasz Slomka, Alex Townsend:
An optimal complexity spectral method for Navier-Stokes simulations in the ball. CoRR abs/2103.16638 (2021) - [i17]Nicolas Boullé, Christopher J. Earls, Alex Townsend:
Data-driven discovery of physical laws with human-understandable deep learning. CoRR abs/2105.00266 (2021) - [i16]Heather Wilber, Anil Damle, Alex Townsend:
Data-driven Algorithms for signal processing with rational functions. CoRR abs/2105.07324 (2021) - [i15]Nicolas Boullé, Alex Townsend:
A generalization of the randomized singular value decomposition. CoRR abs/2105.13052 (2021) - [i14]Annan Yu, Chloé Becquey, Diana Halikias, Matthew Esmaili Mallory, Alex Townsend:
Arbitrary-Depth Universal Approximation Theorems for Operator Neural Networks. CoRR abs/2109.11354 (2021) - [i13]Tianyi Shi, Maximilian Ruth, Alex Townsend:
Parallel algorithms for computing the tensor-train decomposition. CoRR abs/2111.10448 (2021) - [i12]Matthew J. Colbrook, Alex Townsend:
Rigorous data-driven computation of spectral properties of Koopman operators for dynamical systems. CoRR abs/2111.14889 (2021) - 2020
- [j23]Sheehan Olver, Richard Mikaël Slevinsky, Alex Townsend:
Fast algorithms using orthogonal polynomials. Acta Numer. 29: 573-699 (2020) - [j22]Andrew Horning, Alex Townsend:
FEAST for Differential Eigenvalue Problems. SIAM J. Numer. Anal. 58(2): 1239-1262 (2020) - [j21]Nicolas Boullé, Alex Townsend:
Computing with Functions in the Ball. SIAM J. Sci. Comput. 42(4): C169-C191 (2020) - [c2]Nicolas Boullé, Yuji Nakatsukasa, Alex Townsend:
Rational neural networks. NeurIPS 2020 - [i11]Yunan Yang, Alex Townsend, Daniel Appelö:
Anderson Acceleration Using the H-s Norm. CoRR abs/2002.03694 (2020) - [i10]Nicolas Boullé, Yuji Nakatsukasa, Alex Townsend:
Rational neural networks. CoRR abs/2004.01902 (2020) - [i9]Matthew J. Colbrook, Andrew Horning, Alex Townsend:
Computing spectral measures of self-adjoint operators. CoRR abs/2006.01766 (2020) - [i8]Daniel Fortunato, Nicholas Hale, Alex Townsend:
The ultraspherical spectral element method. CoRR abs/2006.08756 (2020) - [i7]Austin R. Benson, Anil Damle, Alex Townsend:
Over-parametrized neural networks as under-determined linear systems. CoRR abs/2010.15959 (2020)
2010 – 2019
- 2019
- [j20]Laurent Demanet, Alex Townsend:
Stable Extrapolation of Analytic Functions. Found. Comput. Math. 19(2): 297-331 (2019) - [j19]Marc Aurèle Gilles, Alex Townsend:
Continuous Analogues of Krylov Subspace Methods for Differential Operators. SIAM J. Numer. Anal. 57(2): 899-924 (2019) - [j18]Bernhard Beckermann, Alex Townsend:
Bounds on the Singular Values of Matrices with Displacement Structure. SIAM Rev. 61(2): 319-344 (2019) - [j17]Sheehan Olver, Alex Townsend, Geoffrey M. Vasil:
A Sparse Spectral Method on Triangles. SIAM J. Sci. Comput. 41(6): A3728-A3756 (2019) - [j16]Madeleine Udell, Alex Townsend:
Why Are Big Data Matrices Approximately Low Rank? SIAM J. Math. Data Sci. 1(1): 144-160 (2019) - [i6]Nicolas Boullé, Alex Townsend:
Computing with functions in the ball. CoRR abs/1911.00114 (2019) - [i5]Daniel Rubin, Alex Townsend:
Bounding Zolotarev numbers using Faber rational functions. CoRR abs/1911.11882 (2019) - 2018
- [j15]Alex Townsend, Marcus Webb, Sheehan Olver:
Fast polynomial transforms based on Toeplitz and Hankel matrices. Math. Comput. 87(312): 1913-1934 (2018) - [j14]Diego Ruiz-Antolín, Alex Townsend:
A Nonuniform Fast Fourier Transform Based on Low Rank Approximation. SIAM J. Sci. Comput. 40(1) (2018) - [i4]Katherine N. Quinn, Heather Wilber, Alex Townsend, James P. Sethna:
Chebyshev approximation and the global geometry of sloppy models. CoRR abs/1809.08280 (2018) - 2017
- [j13]Yuji Nakatsukasa, Vanni Noferini, Alex Townsend:
Vector Spaces of Linearizations for Matrix Polynomials: A Bivariate Polynomial Approach. SIAM J. Matrix Anal. Appl. 38(1): 1-29 (2017) - [j12]Bernhard Beckermann, Alex Townsend:
On the Singular Values of Matrices with Displacement Structure. SIAM J. Matrix Anal. Appl. 38(4): 1227-1248 (2017) - [j11]Heather Wilber, Alex Townsend, Grady B. Wright:
Computing with Functions in Spherical and Polar Geometries II. The Disk. SIAM J. Sci. Comput. 39(3) (2017) - [i3]Madeleine Udell, Alex Townsend:
Nice latent variable models have log-rank. CoRR abs/1705.07474 (2017) - 2016
- [j10]Vanni Noferini, Alex Townsend:
Numerical Instability of Resultant Methods for Multidimensional Rootfinding. SIAM J. Numer. Anal. 54(2): 719-743 (2016) - [j9]Alex Townsend, Heather Wilber, Grady B. Wright:
Computing with Functions in Spherical and Polar Geometries I. The Sphere. SIAM J. Sci. Comput. 38(4) (2016) - [i2]Laurent Demanet, Alex Townsend:
Stable extrapolation of analytic functions. CoRR abs/1605.09601 (2016) - 2015
- [j8]Alex Townsend, Sheehan Olver:
The automatic solution of partial differential equations using a global spectral method. J. Comput. Phys. 299: 106-123 (2015) - [j7]Yuji Nakatsukasa, Vanni Noferini, Alex Townsend:
Computing the common zeros of two bivariate functions via Bézout resultants. Numerische Mathematik 129(1): 181-209 (2015) - [j6]Alex Townsend:
A Fast Analysis-Based Discrete Hankel Transform Using Asymptotic Expansions. SIAM J. Numer. Anal. 53(4): 1897-1917 (2015) - [i1]Vanni Noferini, Alex Townsend:
Are resultant methods numerically unstable for multidimensional rootfinding? CoRR abs/1507.00272 (2015) - 2014
- [j5]Nicholas Hale, Alex Townsend:
A Fast, Simple, and Stable Chebyshev-Legendre Transform Using an Asymptotic Formula. SIAM J. Sci. Comput. 36(1) (2014) - [j4]Nicholas Hale, Alex Townsend:
An Algorithm for the Convolution of Legendre Series. SIAM J. Sci. Comput. 36(3) (2014) - [c1]Sheehan Olver, Alex Townsend:
A practical framework for infinite-dimensional linear algebra. HPTCDL@SC 2014: 57-62 - 2013
- [j3]Sheehan Olver, Alex Townsend:
A Fast and Well-Conditioned Spectral Method. SIAM Rev. 55(3): 462-489 (2013) - [j2]Nicholas Hale, Alex Townsend:
Fast and Accurate Computation of Gauss-Legendre and Gauss-Jacobi Quadrature Nodes and Weights. SIAM J. Sci. Comput. 35(2) (2013) - [j1]Alex Townsend, Lloyd N. Trefethen:
An Extension of Chebfun to Two Dimensions. SIAM J. Sci. Comput. 35(6) (2013)
Coauthor Index
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last updated on 2024-10-17 20:33 CEST by the dblp team
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