Statistical Learning for Dynamical Systems

Greedy Kernel Methods for Center Manifold Approximation

Autori: Bernard Haasdonk, Boumediene Hamzi, Gabriele Santin, Dominik Wittwar
Pubblicato in: Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2018 - Selected Papers from the ICOSAHOM Conference, London, UK, July 9-13, 2018, Numero 134, 2020, Pagina/e 95-106, ISBN 978-3-030-39646-6
Editore: Springer International Publishing
DOI: 10.1007/978-3-030-39647-3_6

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

Autori: Bittracher, Andreas; Klus, Stefan; Hamzi, Boumediene; Koltai, Péter; Schütte, Christof
Pubblicato in: Journal of Nonlinear Science, Numero 2, 2020, ISSN 0938-8974
Editore: Springer Verlag
DOI: 10.17169/refubium-29149

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

Autori: Boumediene Hamzi, Houman Owhadi
Pubblicato in: Physica D: Nonlinear Phenomena, Numero 421, 2021, Pagina/e 132817, ISSN 0167-2789
Editore: Elsevier BV
DOI: 10.1016/j.physd.2020.132817

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

Autori: Andreas Bittracher, Stefan Klus, Boumediene Hamzi, Péter Koltai, Christof Schütte
Pubblicato in: Journal of Nonlinear Science, Numero 31/1, 2021, ISSN 0938-8974
Editore: Springer Verlag
DOI: 10.1007/s00332-020-09668-z

Kernel-Based Approximation of the Koopman Generator and Schrödinger Operator

Autori: Stefan Klus, Feliks Nüske, Boumediene Hamzi
Pubblicato in: Entropy, Numero 22/7, 2020, Pagina/e 722, ISSN 1099-4300
Editore: Multidisciplinary Digital Publishing Institute (MDPI)
DOI: 10.3390/e22070722

Entropy for Practical Stabilization

Autori: Fritz Colonius, Boumediene Hamzi
Pubblicato in: SIAM Journal on Control and Optimization, Numero 59/3, 2021, Pagina/e 2195-2222, ISSN 0363-0129
Editore: Society for Industrial and Applied Mathematics
DOI: 10.1137/20m1367775

Entropy for practical stabilization

Autori: F. Colonius and B. Hamzi
Pubblicato in: SIAM Journal of Control and Optimization, 2021
Editore: SIAM

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

Autori: B. Haasdonk, B. Hamzi, G. Santin and D. Wittwar
Pubblicato in: Physica D, 2021
Editore: Elsevier

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

Autori: Hamzi, Boumediene; Maulik, Romit; Owhadi, Houman
Pubblicato in: Numero 1, 2021
Editore: Arxiv
DOI: 10.13140/rg.2.2.28504.21761

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