Learning dynamical systems from data: A simple cross-validation perspective, part I: Parametric kernel flows B Hamzi, H Owhadi Physica D: Nonlinear Phenomena 421 (132817), 2021 | 80 | 2021 |
Analysis and control of Hopf bifurcations B Hamzi, W Kang, JP Barbot SIAM journal on control and optimization 42 (6), 2200-2220, 2004 | 61 | 2004 |
Kernel Methods for the Approximation of Nonlinear Systems J Bouvrie, B Hamzi SIAM J. Control and Optimization, 2017 | 58 | 2017 |
Kernel-Based Approximation of the Koopman Generator and Schrödinger Operator S Klus, F Nüske, B Hamzi Entropy 22 (722), 2020 | 52 | 2020 |
Ignored input dynamics and a new characterization of control Lyapunov functions B Hamzi, L Praly Automatica 37 (6), 831-841, 2001 | 50 | 2001 |
Approximation of Lyapunov functions from noisy data P Giesl, B Hamzi, M Rasmussen, K Webster Journal of Computational Dynamics, 2020 | 46* | 2020 |
Nonlinear discrete-time control of systems with a Naimark–Sacker bifurcation B Hamzi, JP Barbot, S Monaco, D Normand-Cyrot Systems & control letters 44 (4), 245-258, 2001 | 39 | 2001 |
The controlled center dynamics B Hamzi, W Kang, AJ Krener SIAM J. Multiscale Modeling & Simulation 3 (4), 838-852, 2005 | 37 | 2005 |
Simple, low-cost and accurate data-driven geophysical forecasting with learned kernels B Hamzi, R Maulik, H Owhadi Proceedings of the Royal Society A 477 (2252), 20210326, 2021 | 31* | 2021 |
Kernel methods for the approximation of some key quantities of nonlinear systems J Bouvrie, B Hamzi Journal of Computational Dynamics 4 (1), 2017 | 31 | 2017 |
Dimensionality Reduction of Complex Metastable Systems via Kernel Embeddings of Transition Manifolds A Bittracher, S Klus, B Hamzi, P Koltai, C Schütte Journal of Nonlinear Science 31 (1), 1-41, 2021 | 28 | 2021 |
Balanced reduction of nonlinear control systems in reproducing kernel Hilbert space J Bouvrie, B Hamzi 2010 48th Annual Allerton Conference on Communication, Control, and …, 2010 | 22 | 2010 |
Kernel methods for center manifold approximation and a weak data-based version of the center manifold theorem B Haasdonk, B Hamzi, G Santin, D Wittwar Physica D: Nonlinear Phenomena 427, 133007, 2021 | 20 | 2021 |
Local modal participation analysis of nonlinear systems using Poincaré linearization B Hamzi, E Abed Nonlinear Dynamics 99 (1), 803–811, 2020 | 20 | 2020 |
Learning dynamical systems from data: a simple cross-validation perspective, part II: nonparametric kernel flows M Darcy, B Hamzi, J Susiluoto, A Braverman, H Owhadi https://www.researchgate.net/publication …, 2021 | 19 | 2021 |
Greedy kernel methods for center manifold approximation B Haasdonk, B Hamzi, G Santin, D Wittwar Spectral and High Order Methods for Partial Differential Equations ICOSAHOM …, 2020 | 19 | 2020 |
One-shot learning of Stochastic differential equations with data adapted kernels M Darcy, B Hamzi, G Livieri, H Owhadi, P Tavallali Physica D: Nonlinear Phenomena 133583, 2023 | 18* | 2023 |
Empirical estimators for stochastically forced nonlinear systems: Observability, controllability and the invariant measure J Bouvrie, B Hamzi 2012 American Control Conference (ACC), 4142-4148, 2012 | 18 | 2012 |
On the control of Hopf bifurcations B Hamzi, W Kang, JP Barbot Proceedings of the 39th IEEE Conference on Decision and Control (Cat. No …, 2000 | 18 | 2000 |
Learning dynamical systems from data: A simple cross-validation perspective, part III: Irregularly-Sampled Time Series J Lee, E De Brouwer, B Hamzi, H Owhadi Physica D: Nonlinear Phenomena 443 (133546), 2023 | 16 | 2023 |