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This work develops a parallelized algorithm to compute the dynamic mode decomposition (DMD) on a graphics processing unit using the streaming method of snapshots singular value decomposition.
Hamiltonian systems and transformation in Hilbert space
Koopman, B. O · 1931
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Turbulence and the dynamics of coherent structures. Part I: Coherent structures
Sirovich, L · 1987
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Eigenfaces vs. Fisherfaces: Recognition using class specific linear projection
Belhumeur, P. N., Hespanha, J. P., and Kriegman, D. J · 1997
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Incremental singular value decomposition of uncertain data with missing values
Brand, M · 2002
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Spectral properties of dynamical systems, model reduction and decompositions
Mezić, I · 2005
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Spectral analysis of nonlinear flows
Rowley, C. W., Mezić, I., Bagheri, S., Schlatter, P., and Henningson, D · 2009
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Dynamic mode decomposition of numerical and experimental data
Schmid, P. J · 2010
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Towards dense linear algebra for hybrid GPU accelerated manycore systems
Tomov, S., Dongarra, J., and Baboulin, M · 2010
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Robust principal component analysis?
Candès, E. J., Li, X., Ma, Y., and Wright, J · 2011
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Finding structure with randomness: Probabilistic algorithms for constructing approximate matrix decompositions
Halko, N., Martinsson, P.-G., and Tropp, J. A · 2011
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Applications of the dynamic mode decomposition
Schmid, P., Li, L., Juniper, M., and Pust, O · 2011
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Analysis of fluid flows via spectral properties of the Koopman operator
Mezic, I · 2013
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Sparse dynamics for partial differential equations
Schaeffer, H., Caflisch, R., Hauck, C. D., and Osher, S · 2013
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Computer Vision - ACCV 2012 Workshops: ACCV 2012 International Workshops, Daejeon, Korea, November 5-6, 2012, Revised Selected Papers, Part I
Vacavant, A., Chateau, T., Wilhelm, A., and Lequièvre, L · 2013
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AUGEM: automatically generate high performance dense linear algebra kernels on x86 CPUs
Wang, Q., Zhang, X., Zhang, Y., and Yi, Q · 2013
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Dynamic mode decomposition for perturbation estimation in human robot interaction
Berger, E., Sastuba, M., Vogt, D., Jung, B.-I., and Ben Amor, H · 2014
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Traditional and recent approaches in background modeling for foreground detection: An overview
Bouwmans, T · 2014
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Robust pca via principal component pursuit: A review for a comparative evaluation in video surveillance
Bouwmans, T., and Zahzah, E. H · 2014
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Closed-loop turbulence control: Progress and challenges
Brunton, S. L., and Noack, B. R · 2015
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Compressed sensing and dynamic mode decomposition
Brunton, S. L., Proctor, J. L., Tu, J. H., and Kutz, J. N · 2015
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Recursive dynamic mode decomposition of a transient cylinder wake
Noack, B. R., Stankiewicz, W., Morzynski, M., and Schmid, P. J · 2015
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Discovering dynamic patterns from infectious disease data using dynamic mode decomposition
Proctor, J. L., and Eckhoff, P. A · 2015
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Handbook of Robust Low-Rank and Sparse Matrix Decomposition: Applications in Image and Video Processing
Bouwmans, T., Aybat, N. S., and Zahzah, E.-h · 2016
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Grosek, J., and Kutz, J. N · 2014
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Dynamic mode decomposition for large and streaming datasets
Hemati, M. S., Williams, M. O., and Rowley, C. W · 2014
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Sparsity-promoting dynamic mode decomposition
Jovanović, M. R., Schmid, P. J., and Nichols, J. W · 2014
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UHD video dataset for evaluation of privacy
Korshunov, P., and Ebrahimi, T · 2014
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On the compressive spectral method
Mackey, A., Schaeffer, H., and Osher, S · 2014
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Instruementation for monitoring around marine renewable energy converters: Workshop final report
Polagye, B., Copping, A., Suryan, R., Kramer, S., Brown-Saracino, J., and Smith, C · 2014
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On dynamic mode decomposition: theory and applications
Tu, J. H., Rowley, C. W., Luchtenburg, D. M., Brunton, S. L., and Kutz, J. N · 2014
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Extracting spatial–temporal coherent patterns in large-scale neural recordings using dynamic mode decomposition
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Discovering governing equations from data by sparse identification of nonlinear dynamical systems
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Compressed dynamic mode decomposition for real-time object detection
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Randomized low-rank dynamic mode decomposition for motion detection
Erichson, N. B., and Donovan, C · 2016
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Dynamic Mode Decomposition: Data-Driven Modeling of Complex Systems
Kutz, J. N., Brunton, S. L., Brunton, B. W., and Proctor, J. L · 2016
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Low-frequency dynamics in a shock-induced separated flow
Priebe, S., Tu, J. H., Rowley, C. W., and Martín, M. P · 2016
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Parallel data-driven decomposition algorithm for large-scale datasets: with application to transitional boundary layers
Sayadi, T., and Schmid, P. J · 2016
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