Matthew Williams
Matthew Williams
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Zitiert von
Zitiert von
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
A kernel-based approach to data-driven Koopman spectral analysis
MO Williams, CW Rowley, IG Kevrekidis
arXiv preprint arXiv:1411.2260, 2014
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
Dynamic mode decomposition for large and streaming datasets
MS Hemati, MO Williams, CW Rowley
Physics of Fluids 26 (11), 2014
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
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
Data fusion via intrinsic dynamic variables: An application of data-driven Koopman spectral analysis
MO Williams, CW Rowley, I Mezić, IG Kevrekidis
Europhysics Letters 109 (4), 40007, 2015
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
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
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
Phase retrieval using nonlinear diversity
CH Lu, C Barsi, MO Williams, JN Kutz, JW Fleischer
Applied optics 52 (10), D92-D96, 2013
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, 2012
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
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
Light-bullet routing and control with planar waveguide arrays
MO Williams, CW McGrath, JN Kutz
Optics Express 18 (11), 11671-11682, 2010
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
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
Spatial Mode-Locking of Light Bullets in PlanarWaveguide Arrays
MO Williams, JN Kutz
Optics Express 17 (20), 18320-18329, 2009
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
Nonlinear resonances and antiresonances of a forced sonic vacuum
D Pozharskiy, Y Zhang, MO Williams, DM McFarland, PG Kevrekidis, ...
Physical Review E 92 (6), 063203, 2015
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