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Statistical Learning for Dynamical Systems

Publications

Greedy Kernel Methods for Center Manifold Approximation

Author(s): Bernard Haasdonk, Boumediene Hamzi, Gabriele Santin, Dominik Wittwar
Published in: Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2018 - Selected Papers from the ICOSAHOM Conference, London, UK, July 9-13, 2018, Issue 134, 2020, Page(s) 95-106, ISBN 978-3-030-39646-6
Publisher: Springer International Publishing
DOI: 10.1007/978-3-030-39647-3_6

Dimensionality Reduction of Complex Metastable Systems via Kernel Embeddings of Transition Manifolds

Author(s): Bittracher, Andreas; Klus, Stefan; Hamzi, Boumediene; Koltai, Péter; Schütte, Christof
Published in: Journal of Nonlinear Science, Issue 2, 2020, ISSN 0938-8974
Publisher: Springer Verlag
DOI: 10.17169/refubium-29149

Learning dynamical systems from data: A simple cross-validation perspective, part I: Parametric kernel flows

Author(s): Boumediene Hamzi, Houman Owhadi
Published in: Physica D: Nonlinear Phenomena, Issue 421, 2021, Page(s) 132817, ISSN 0167-2789
Publisher: Elsevier BV
DOI: 10.1016/j.physd.2020.132817

Dimensionality Reduction of Complex Metastable Systems via Kernel Embeddings of Transition Manifolds

Author(s): Andreas Bittracher, Stefan Klus, Boumediene Hamzi, Péter Koltai, Christof Schütte
Published in: Journal of Nonlinear Science, Issue 31/1, 2021, ISSN 0938-8974
Publisher: Springer Verlag
DOI: 10.1007/s00332-020-09668-z

Kernel-Based Approximation of the Koopman Generator and Schrödinger Operator

Author(s): Stefan Klus, Feliks Nüske, Boumediene Hamzi
Published in: Entropy, Issue 22/7, 2020, Page(s) 722, ISSN 1099-4300
Publisher: Multidisciplinary Digital Publishing Institute (MDPI)
DOI: 10.3390/e22070722

Entropy for Practical Stabilization

Author(s): Fritz Colonius, Boumediene Hamzi
Published in: SIAM Journal on Control and Optimization, Issue 59/3, 2021, Page(s) 2195-2222, ISSN 0363-0129
Publisher: Society for Industrial and Applied Mathematics
DOI: 10.1137/20m1367775

Entropy for practical stabilization

Author(s): F. Colonius and B. Hamzi
Published in: SIAM Journal of Control and Optimization, 2021
Publisher: SIAM

Kernel Methods for Center Manifold Approximation and a Data-Based Version of the Center Manifold Theorem

Author(s): B. Haasdonk, B. Hamzi, G. Santin and D. Wittwar
Published in: Physica D, 2021
Publisher: Elsevier

Data-driven geophysical forecasting: Simple, low-cost, and accurate baselines with kernel methods

Author(s): Hamzi, Boumediene; Maulik, Romit; Owhadi, Houman
Published in: Issue 1, 2021
Publisher: Arxiv
DOI: 10.13140/rg.2.2.28504.21761

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