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Matthew J. Colbrook
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25
Rigged Dynamic Mode Decomposition: Data-Driven Generalized Eigenfunction Decompositions for Koopman Operators
2 December 2024 by
Matthew Colbrook
and
others
Dynamical Systems
,
Machine Learning
A Novel Use of Pseudospectra in Mathematical Biology: Understanding HPA Axis Sensitivity
30 November 2024 by
Catherine Drysdale
and
Matthew Colbrook
Spectral Theory
,
Machine Learning
Computing Generalized Eigenfunctions in Rigged Hilbert Spaces
10 October 2024 by
Matthew Colbrook
and
others
Numerical Analysis
,
Spectral Theory
On the Convergence of Hermitian Dynamic Mode Decomposition
7 October 2024 by
Nicolas Boullé
and
Matthew Colbrook
Numerical Analysis
,
Machine Learning
Optimal Algorithms for Quantifying Spectral Size with Applications to Quasicrystals
29 July 2024 by
Matthew Colbrook
and
others
Spectral Theory
,
Numerical Analysis
Restarts subject to approximate sharpness: A parameter-free and optimal scheme for first-order methods
22 July 2024 by
Ben Adcock
and
others
Optimization and Control
,
Computer Vision and Pattern Recognition
Limits and Powers of Koopman Learning
8 July 2024 by
Matthew Colbrook
and
others
Dynamical Systems
,
Machine Learning
Multiplicative Dynamic Mode Decomposition
8 May 2024 by
Nicolas Boullé
and
Matthew Colbrook
Dynamical Systems
,
Machine Learning
Another look at Residual Dynamic Mode Decomposition in the regime of fewer Snapshots than Dictionary Size
9 March 2024 by
Matthew Colbrook
Dynamical Systems
,
Numerical Analysis
The Multiverse of Dynamic Mode Decomposition Algorithms
21 December 2023 by
Matthew Colbrook
Dynamical Systems
,
Machine Learning
Beyond expectations: Residual Dynamic Mode Decomposition and Variance for Stochastic Dynamical Systems
10 November 2023 by
Matthew Colbrook
and
others
Dynamical Systems
,
Machine Learning
Rigorous data-driven computation of spectral properties of Koopman operators for dynamical systems
11 May 2023 by
Matthew Colbrook
and
Alex Townsend
Numerical Analysis
,
Machine Learning
Avoiding discretization issues for nonlinear eigenvalue problems
2 May 2023 by
Matthew Colbrook
and
Alex Townsend
Numerical Analysis
,
Systems and Control
The mpEDMD Algorithm for Data-Driven Computations of Measure-Preserving Dynamical Systems
6 September 2022 by
Matthew Colbrook
Numerical Analysis
,
Machine Learning
Residual Dynamic Mode Decomposition: Robust and verified Koopmanism
19 May 2022 by
Matthew Colbrook
and
others
Fluid Dynamics
,
Machine Learning
SpecSolve: Spectral methods for spectral measures
4 January 2022 by
Matthew Colbrook
and
Andrew Horning
Numerical Analysis
,
Mathematical Physics
Computing spectral properties of topological insulators without artificial truncation or supercell approximation
7 December 2021 by
Matthew Colbrook
and
others
Numerical Analysis
,
Mesoscale and Nanoscale Physics
A contour method for time-fractional PDEs and an application to fractional viscoelastic beam equations
25 November 2021 by
Matthew Colbrook
and
Lorna Ayton
Numerical Analysis
,
Analysis of PDEs
WARPd: A linearly convergent first-order method for inverse problems with approximate sharpness conditions
24 October 2021 by
Matthew Colbrook
Numerical Analysis
,
Computer Vision and Pattern Recognition
Computing semigroups with error control
12 October 2021 by
Matthew Colbrook
Numerical Analysis
Bulk Localised Transport States in Infinite and Finite Quasicrystals via Magnetic Aperiodicity
12 July 2021 by
Dean Johnstone
and
others
Strongly Correlated Electrons
,
Quantum Gases
Can stable and accurate neural networks be computed? -- On the barriers of deep learning and Smale's 18th problem
15 April 2021 by
Matthew Colbrook
and
others
Machine Learning
,
Computer Vision and Pattern Recognition
Computing spectral measures of self-adjoint operators
1 December 2020 by
Matthew Colbrook
and
others
Numerical Analysis
,
Mathematical Physics
On the infinite-dimensional QR algorithm
16 November 2020 by
Matthew Colbrook
and
Anders Hansen
Numerical Analysis
,
Mathematical Physics
The foundations of spectral computations via the Solvability Complexity Index hierarchy: Part II
6 August 2020 by
Matthew Colbrook
Spectral Theory
The foundations of spectral computations via the Solvability Complexity Index hierarchy: Part I
16 July 2020 by
Matthew Colbrook
and
Anders Hansen
Spectral Theory
On the Solvability Complexity Index Hierarchy and Towers of Algorithms
15 August 2019 by
Jonathan Ben-Artzi
and
others
Computational Complexity
,
Numerical Analysis
Kernel Density Estimation with Linked Boundary Conditions
17 April 2019 by
Matthew Colbrook
and
others
Statistics Theory
Scaling Laws of Passive-Scalar Diffusion in the Interstellar Medium
27 January 2017 by
Matthew Colbrook
and
others
Astrophysics of Galaxies
,
Numerical Analysis
This is an AI-generated summary
Key points
Topics
Numerical Analysis
Spectral Theory
Mathematical Physics
Machine Learning
Dynamical Systems
Optimization and Control
Fluid Dynamics
Computer Vision and Pattern Recognition
Chaotic Dynamics
Systems and Control
Functional Analysis
Statistics Theory
Mesoscale and Nanoscale Physics
Analysis of PDEs
Complex Variables
