Data-Driven Modeling of Complex Systems


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About This Book

 

The integration of data and scientific computation is driving a paradigm shift across the engineering, natural, and physical sciences. Indeed, there exists an unprecedented availability of high-fidelity measurements from time-series recordings, numerical simulations, and experimental data. When coupled with readily available algorithms and innovations in machine (statistical) learning, it is possible to extract meaningful spatio-temporal patterns that dominate dynamic activity. The focus of this book is on the emerging method of dynamic mode decomposition (DMD). DMD is a matrix decomposition technique that is highly versatile and builds upon the power of the singular value decomposition (SVD). The low-rank structures extracted from DMD are associated with temporal features as well as correlated spatial activity, thus providing a powerful diagnostic for state estimation, model building, control and prediction.

 

 

Code & Data

NOTE: Unzip both files in the same directory.  

 

 

About the Authors

 

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J. Nathan Kutz
PROFESSOR
Applied Mathematics
University of Washington
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Steven L. Brunton
ASSISTANT PROFESSOR
Mechanical Engineering
University of Washington
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Bingni Brunton
ASSISTANT PROFESSOR
Biology
University of Washington
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Joshua L. Proctor
PRINCIPAL SCIENTIST
Institute for Disease Modeling
© 2016 dmdbook