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Townsend, Alex

  1. Rigorous data-driven computation of spectral properties of Koopman operators for dynamical systems
    2021/11/29 by Matthew J. Colbrook, Colbrook, Matthew J., Alex Townsend +1 · 16 citations
    Computer Science · Engineering · Physics and Astronomy · #37A30 #37M10 #37N10 #37N25 #47A10 #47B33 #65F99 #65P99 #65T99 #Computational Fluid Dynamics and Aerodynamics #Dynamical Systems (math.DS) #FOS: Computer and information sciences #FOS: Mathematics #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Fluid Dynamics and Turbulent Flows #Gaussian Processes and Bayesian Inference #Machine Learning (cs.LG) #Model Reduction and Neural Networks #Numerical Analysis (math.NA) #Spectral Theory (math.SP)
  2. Rational neural networks
    2020/04/04 by Boullé, Nicolas, Nakatsukasa, Yuji, Townsend, Alex · 9 citations
    #FOS: Computer and information sciences #FOS: Mathematics #Machine Learning (cs.LG) #Machine Learning (stat.ML) #Neural and Evolutionary Computing (cs.NE) #Numerical Analysis (math.NA)
  3. On the singular values of matrices with displacement structure
    2016/09/29 by Beckermann, Bernhard, Townsend, Alex · 5 citations
    #FOS: Mathematics #Numerical Analysis (math.NA) #Rings and Algebras (math.RA)
  4. A fast and well-conditioned spectral method
    2012/02/07 by Olver, Sheehan, Townsend, Alex · 4 citations
    #33C45 #65L10 #65M70 #FOS: Mathematics #Numerical Analysis (math.NA)
  5. Data-driven Algorithms for signal processing with trigonometric rational functions
    2021/05/16 by Wilber, Heather, Damle, Anil, Townsend, Alex · 4 citations
    #41A20 #94A12 #FOS: Mathematics #G.1.2 #Numerical Analysis (math.NA)
  6. Expander graphs are globally synchronizing
    2022/10/23 by Abdalla, Pedro, Bandeira, Afonso S., Kassabov, Martin +3 · 4 citations
    #Combinatorics (math.CO) #Dynamical Systems (math.DS) #FOS: Mathematics #Optimization and Control (math.OC) #Probability (math.PR)
  7. A practical framework for infinite-dimensional linear algebra
    2014/09/19 by Olver, Sheehan, Townsend, Alex · 2 citations
    #33A65 #35C11 #65N35 #FOS: Mathematics #Numerical Analysis (math.NA)
  8. Arbitrary-Depth Universal Approximation Theorems for Operator Neural Networks
    2021/09/23 by Yu, Annan, Becquey, Chloé, Halikias, Diana +2 · 3 citations
    #Classical Analysis and ODEs (math.CA) #FOS: Computer and information sciences #FOS: Mathematics #Machine Learning (cs.LG) #Numerical Analysis (math.NA)
  9. Parallel algorithms for computing the tensor-train decomposition
    2021/11/19 by Tianyi Shi, Shi, Tianyi, Maximilian Ruth +3 · 3 citations
    Computer Science · Mathematics · #15A69 #65F55 #65Y05 #FOS: Mathematics #Numerical Analysis (math.NA) #Parallel Computing and Optimization Techniques #Tensor decomposition and applications
  10. Fast Poisson solvers for spectral methods
    2017/10/30 by Fortunato, Daniel, Townsend, Alex · 2 citations
    #FOS: Mathematics #Numerical Analysis (math.NA)
  11. Beyond expectations: Residual Dynamic Mode Decomposition and Variance for Stochastic Dynamical Systems
    2023/08/21 by Colbrook, Matthew J., Li, Qin, Raut, Ryan V. +1 · 4 citations
    #37H99 #37M10 #37N25 #47A10 #47B33 #65P99 #Chaotic Dynamics (nlin.CD) #Dynamical Systems (math.DS) #FOS: Computer and information sciences #FOS: Mathematics #FOS: Physical sciences #Machine Learning (cs.LG) #Numerical Analysis (math.NA) #Spectral Theory (math.SP)
  12. Bounding Zolotarev numbers using Faber rational functions
    2019/11/26 by Rubin, Daniel, Townsend, Alex, Wilber, Heather · 2 citations
    #30E10 (Primary) #41A20 #65F10 #Complex Variables (math.CV) #FOS: Mathematics #Numerical Analysis (math.NA)
  13. Are sketch-and-precondition least squares solvers numerically stable?
    2023/02/14 by Meier, Maike, Nakatsukasa, Yuji, Townsend, Alex +1 · 3 citations
    #FOS: Mathematics #Numerical Analysis (math.NA)
  14. Fast inverse transform sampling in one and two dimensions
    2013/07/04 by Sheehan Olver, Olver, Sheehan, Alex Townsend +1 · 1 citation
    Computer Science · Engineering · #65C10 #Anomaly Detection Techniques and Applications #Chaos-based Image/Signal Encryption #FOS: Mathematics #Numerical Analysis (math.NA) #Probability (math.PR) #Sparse and Compressive Sensing Techniques #Statistics Theory (math.ST)
  15. Gaussian elimination corrects pivoting mistakes
    2016/02/21 by Townsend, Alex · 1 citation
    #FOS: Mathematics #Numerical Analysis (math.NA)
  16. Avoiding discretization issues for nonlinear eigenvalue problems
    2023/05/02 by Matthew J. Colbrook, Colbrook, Matthew J., Alex Townsend +1 · 2 citations
    Computer Science · Mathematics · #35P30 #47A10 #65N25 #65N30 #Advanced Optimization Algorithms Research #FOS: Electrical engineering #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Matrix Theory and Algorithms #Numerical Analysis (math.NA) #Numerical methods for differential equations #Spectral Theory (math.SP) #Systems and Control (eess.SY) #electronic engineering #information engineering
  17. Computing with functions in spherical and polar geometries I. The sphere
    2015/10/27 by Alex Townsend, Heather Wilber, Townsend, Alex +3 · 1 citation
    Earth and Planetary Sciences · Engineering · #Advanced Numerical Analysis Techniques #FOS: Mathematics #Geological Modeling and Analysis #Numerical Analysis (math.NA)
  18. Stable extrapolation of analytic functions
    2016/05/31 by Demanet, Laurent, Townsend, Alex · 1 citation
    #FOS: Computer and information sciences #FOS: Mathematics #Information Theory (cs.IT) #Numerical Analysis (math.NA)
  19. A nonuniform fast Fourier transform based on low rank approximation
    2017/01/17 by Ruiz-Antolin, Diego, Townsend, Alex · 1 citation
    #FOS: Mathematics #Numerical Analysis (math.NA)
  20. Recurrence relations for orthogonal polynomials on a triangle
    2018/01/27 by Olver, Sheehan, Townsend, Alex, Vasil, Geoff · 1 citation
    #33C50 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics
  21. On the compressibility of tensors
    2018/12/22 by Shi, Tianyi, Townsend, Alex · 1 citation
    #15A69 #65F99 #FOS: Mathematics #Numerical Analysis (math.NA)
  22. How to reveal the rank of a matrix?
    2024/05/07 by Anil Damle, Silke Glas, Damle, Anil +5 · 3 citations
    Computer Science · #FOS: Mathematics #Matrix Theory and Algorithms #Numerical Analysis (math.NA)
  23. Computing spectral measures of self-adjoint operators
    2020/06/02 by Colbrook, Matthew J., Horning, Andrew, Townsend, Alex · 2 citations
    #46N40 #47A10 #47N50 #65N35 #81Q10 #FOS: Mathematics #FOS: Physical sciences #Functional Analysis (math.FA) #Mathematical Physics (math-ph) #Numerical Analysis (math.NA) #Spectral Theory (math.SP)
  24. Vector spaces of linearizations for matrix polynomials: a bivariate polynomial approach
    2016/10/06 by Nakatsukasa, Yuji, Noferini, Vanni, Townsend, Alex · 1 citation
    #FOS: Mathematics #Numerical Analysis (math.NA)
  25. Operator learning without the adjoint
    2024/01/31 by Nicolas Boullé, Diana Halikias, Boullé, Nicolas +5 · 1 citation
    Computer Science · Engineering · Mathematics · #Artificial Intelligence (cs.AI) #Control Systems and Identification #FOS: Computer and information sciences #FOS: Mathematics #Machine Learning (cs.LG) #Neural Networks and Applications #Numerical Analysis (math.NA) #Numerical methods in inverse problems
  26. Extending Mercer's expansion to indefinite and asymmetric kernels
    2024/09/24 by Sungwoo Jeong, Jeong, Sungwoo, Alex Townsend +1 · 1 citation
    Computer Science · #Neural Networks and Applications
  27. Convergence of Pivoted Cholesky Algorithm for Lipschitz Kernels
    2025/09/16 by Jeong, Sungwoo, Townsend, Alex · 1 citation
    #FOS: Mathematics #Numerical Analysis (math.NA)
  28. A Hidden Variable Resultant Method for the Polynomial Multiparameter Eigenvalue Problem
    2025/03/28 by Emil Graf, Graf, Emil, Alex Townsend +1 · 1 citation
    Computer Science · Mathematics · Physics and Astronomy · #15A18 #15A22 #15A69 #65F15 #FOS: Mathematics #G.1.3 #Model Reduction and Neural Networks #Numerical Analysis (math.NA) #Polynomial and algebraic computation #Tensor decomposition and applications
  29. The Distributional Koopman Operator for Random Dynamical Systems
    2025/04/15 by Maria Oprea, Alex Townsend, Oprea, Maria +3 · 1 citation
    Computer Science · Physics and Astronomy · #Adversarial Robustness in Machine Learning #Dynamical Systems (math.DS) #FOS: Mathematics #Generative Adversarial Networks and Image Synthesis #Model Reduction and Neural Networks