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Matthew Williams
Matthew Williams
Oceanit
Verified email at oceanit.com
Title
Cited by
Cited by
Year
A data–driven approximation of the koopman operator: Extending dynamic mode decomposition
MO Williams, IG Kevrekidis, CW Rowley
Journal of Nonlinear Science 25, 1307-1346, 2015
20142015
A kernel-based approach to data-driven Koopman spectral analysis
MO Williams, CW Rowley, IG Kevrekidis
arXiv preprint arXiv:1411.2260, 2014
3952014
Characterizing and correcting for the effect of sensor noise in the dynamic mode decomposition
STM Dawson, MS Hemati, MO Williams, CW Rowley
Experiments in Fluids 57, 1-19, 2016
3772016
Dynamic mode decomposition for large and streaming datasets
MS Hemati, MO Williams, CW Rowley
Physics of Fluids 26 (11), 2014
2932014
Federated learning enables big data for rare cancer boundary detection
S Pati, U Baid, B Edwards, M Sheller, SH Wang, GA Reina, P Foley, ...
Nature communications 13 (1), 7346, 2022
2092022
Extending data-driven Koopman analysis to actuated systems
MO Williams, MS Hemati, STM Dawson, IG Kevrekidis, CW Rowley
IFAC-PapersOnLine 49 (18), 704-709, 2016
1862016
Data fusion via intrinsic dynamic variables: An application of data-driven Koopman spectral analysis
MO Williams, CW Rowley, I Meziæ, IG Kevrekidis
Europhysics Letters 109 (4), 40007, 2015
702015
Damped-driven granular chains: An ideal playground for dark breathers and multibreathers
C Chong, F Li, J Yang, MO Williams, IG Kevrekidis, PG Kevrekidis, ...
Physical Review E 89 (3), 032924, 2014
692014
A kernel-based method for data-driven Koopman spectral analysis
I Kevrekidis, CW Rowley, M Williams
Journal of Computational Dynamics 2 (2), 247-265, 2016
652016
Determination of γ and− 2βs from charmless two-body decays of beauty mesons
R Aaij, CA Beteta, B Adeva, M Adinolfi, A Affolder, Z Ajaltouni, S Akar, ...
Physics Letters B 741, 1-11, 2015
602015
Improving separation control with noise-robust variants of dynamic mode decomposition
M Hemati, E Deem, M Williams, CW Rowley, LN Cattafesta
54th AIAA Aerospace Sciences Meeting, 1103, 2016
522016
The Proper Orthogonal Decomposition for Dimensionality Reduction in Mode‐Locked Lasers and Optical Systems
E Shlizerman, E Ding, MO Williams, JN Kutz
International Journal of Optics 2012 (1), 831604, 2012
442012
Phase retrieval using nonlinear diversity
CH Lu, C Barsi, MO Williams, J Nathan Kutz, JW Fleischer
Applied optics 52 (10), D92-D96, 2013
432013
Identifying finite-time coherent sets from limited quantities of Lagrangian data
MO Williams, II Rypina, CW Rowley
Chaos: An Interdisciplinary Journal of Nonlinear Science 25 (8), 2015
382015
production in collisions at
VM Abazov, B Abbott, M Abolins, BS Acharya, M Adams, T Adams, ...
Physical Review D—Particles, Fields, Gravitation, and Cosmology 78 (7), 072002, 2008
362008
Hybrid reduced-order integration with proper orthogonal decomposition and dynamic mode decomposition
MO Williams, PJ Schmid, JN Kutz
Multiscale Modeling & Simulation 11 (2), 522-544, 2013
322013
Light-bullet routing and control with planar waveguide arrays
MO Williams, CW McGrath, JN Kutz
Optics Express 18 (11), 11671-11682, 2010
302010
Koopman operator framework for constrained state estimation
A Surana, MO Williams, M Morari, A Banaszuk
2017 IEEE 56th Annual Conference on Decision and Control (CDC), 94-101, 2017
252017
The multi-pulsing transition in mode-locked lasers: a low-dimensional approach using waveguide arrays
MO Williams, E Shlizerman, JN Kutz
JOSA B 27 (12), 2471-2481, 2010
202010
Continuation of periodic solutions in the waveguide array mode-locked laser
MO Williams, J Wilkening, E Shlizerman, JN Kutz
Physica D: Nonlinear Phenomena 240 (22), 1791-1804, 2011
162011
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Articles 1–20