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Due to the increasing availability of large-scale observation and simulation datasets, data-driven representations arise as efficient and relevant computation representations of dynamical systems for a wide range of applications, where model-driven models based on ordinary differential equation remain the state-of-the-art approaches.
“Deterministic Nonperiodic Flow,”
Edward N. Lorenz, · 1963
Earlier work this paper cites.
“Oscillating chemical reactions and nonlinear dynamics,”
R.J. Field and M.J. Schneider, · 1989
Earlier work this paper cites.
“Behind and beyond the Matlab ODE suite,”
R. Ashino, M. Nagase, and R. Vaillancourt, · 2000
Earlier work this paper cites.
“Neural networks with multidimensional transfer functions,”
C. Tsitouras, · 2002
Earlier work this paper cites.
“Complex-bilinear recurrent neural network for equalization of a digital satellite channel,”
D.C. Park and T.-K. Jeong, · 2002
Earlier work this paper cites.
Data Assimilation
G. Evensen, · 2009
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“Analog Forecasting with Dynamics-Adapted Kernels,”
Z. Zhao and D. Giannakis, · 2014
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Y. LeCun, Y. Bengio, and G. Hinton, · 2015
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“Bilinear CNN Models for Fine-Grained Visual Recognition,”
T. Y. Lin, A. RoyChowdhury, and S. Maji, · 2015
Later among the works it cites.
“Discovering governing equations from data by sparse identification of nonlinear dynamical systems,”
S. L. Brunton, J. L. Proctor, and J. N. Kutz, · 2016
Later among the works it cites.
“The Analog Data Assimilation,”
R. Lguensat, P. Tandeo, P. Aillot, and R. Fablet, · 2017
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“Model selection for dynamical systems via sparse regression and information criteria,”
N. M. Mangan, J. N. Kutz, S. L. Brunton, and J. L. Proctor, · 2017
Closest in time.
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