no code implementations • 20 Aug 2021 • Patrick Heas, Cedric Herzet
This technical note reviews sate-of-the-art algorithms for linear approximation of high-dimensional dynamical systems using low-rank dynamic mode decomposition (DMD).
no code implementations • 11 Feb 2020 • Patrick Heas, Cedric Herzet, Benoit Combes
Reduced modeling in high-dimensional reproducing kernel Hilbert spaces offers the opportunity to approximate efficiently non-linear dynamics.
no code implementations • 21 Dec 2018 • Patrick Heas, Cedric Herzet
The theorem provides the basis for the design of tractable algorithms for kernel or continuous DMD.
no code implementations • 1 Jun 2018 • Said Ouala, Cedric Herzet, Ronan Fablet
The forecasting and reconstruction of ocean and atmosphere dynamics from satellite observation time series are key challenges.
no code implementations • 19 Dec 2017 • Ronan Fablet, Said Ouala, Cedric Herzet
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.
no code implementations • CVPR 2017 • Abed Malti, Cedric Herzet
We prove that filling this property is necessary and sufficient for the relaxed formulation to: (i) retrieve the ground-truth 3D deformed shape, (ii) recover the right spatial domain of non-zero deforming forces.