Grigoryeva, Lyudmila; Hamzi, Boumediene; Kemeth, Felix P.; Kevrekidis, Yannis; Manjunath, G; Ortega, Juan-Pablo; Steynberg, Matthys J. Data-driven cold starting of good reservoirs. arXiv:2403.10325 Preprint, arXiv:2403.10325 [math.DS] (2024). BibTeX Cite \textit{L. Grigoryeva} et al., ``Data-driven cold starting of good reservoirs'', Preprint, arXiv:2403.10325 [math.DS] (2024) Full Text: arXiv OA License
Dingle, Kamaludin; Alaskandarani, Mohammad; Hamzi, Boumediene; Louis, Ard A. Exploring simplicity bias in 1D dynamical systems. arXiv:2403.06989 Preprint, arXiv:2403.06989 [math.DS] (2024). BibTeX Cite \textit{K. Dingle} et al., ``Exploring simplicity bias in 1D dynamical systems'', Preprint, arXiv:2403.06989 [math.DS] (2024) Full Text: DOI arXiv OA License
Hamzi, Boumediene; Owhadi, Houman; Kevrekidis, Yannis Learning dynamical systems from data: a simple cross-validation perspective. IV: Case with partial observations. (English) Zbl 07736383 Physica D 454, Article ID 133853, 13 p. (2023). MSC: 68-XX 90-XX PDFBibTeX XMLCite \textit{B. Hamzi} et al., Physica D 454, Article ID 133853, 13 p. (2023; Zbl 07736383) Full Text: DOI
Gazor, Majid; Hamzi, Boumediene; Shoghi, Ahmad The infinite level normal forms for non-resonant double Hopf singularities. (English) Zbl 1520.93060 Syst. Control Lett. 176, Article ID 105529, 13 p. (2023). MSC: 93B11 93C15 93C10 PDFBibTeX XMLCite \textit{M. Gazor} et al., Syst. Control Lett. 176, Article ID 105529, 13 p. (2023; Zbl 1520.93060) Full Text: DOI arXiv
Hamzi, Boumediene; Owhadi, Houman; Paillet, Léo A note on microlocal kernel design for some slow-fast stochastic differential equations with critical transitions and application to EEG signals. (English) Zbl 07679922 Physica A 616, Article ID 128583, 12 p. (2023). MSC: 82-XX PDFBibTeX XMLCite \textit{B. Hamzi} et al., Physica A 616, Article ID 128583, 12 p. (2023; Zbl 07679922) Full Text: DOI
Darcy, Matthieu; Hamzi, Boumediene; Livieri, Giulia; Owhadi, Houman; Tavallali, Peyman One-shot learning of stochastic differential equations with data adapted kernels. (English) Zbl 07642851 Physica D 444, Article ID 133583, 18 p. (2023). MSC: 68-XX 93-XX PDFBibTeX XMLCite \textit{M. Darcy} et al., Physica D 444, Article ID 133583, 18 p. (2023; Zbl 07642851) Full Text: DOI arXiv
Lee, Jonghyeon; De Brouwer, Edward; Hamzi, Boumediene; Owhadi, Houman Learning dynamical systems from data: a simple cross-validation perspective. III: Irregularly-sampled time series. (English) Zbl 1510.37122 Physica D 443, Article ID 133546, 12 p. (2023). MSC: 37M10 68T05 PDFBibTeX XMLCite \textit{J. Lee} et al., Physica D 443, Article ID 133546, 12 p. (2023; Zbl 1510.37122) Full Text: DOI arXiv
Hamzi, Boumediene; Dingle, Kamaludin Simplicity bias, algorithmic probability, and the random logistic map. arXiv:2401.00593 Preprint, arXiv:2401.00593 [cs.IT] (2023). BibTeX Cite \textit{B. Hamzi} and \textit{K. Dingle}, ``Simplicity bias, algorithmic probability, and the random logistic map'', Preprint, arXiv:2401.00593 [cs.IT] (2023) Full Text: DOI arXiv OA License
Dingle, Kamaludin; Kamal, Rafiq; Hamzi, Boumediene A Note on A Priori Forecasting and Simplicity Bias in Time Series. arXiv:2203.05391 Preprint, arXiv:2203.05391 [physics.data-an] (2022). BibTeX Cite \textit{K. Dingle} et al., ``A Note on A Priori Forecasting and Simplicity Bias in Time Series'', Preprint, arXiv:2203.05391 [physics.data-an] (2022) Full Text: DOI arXiv OA License
Hamzi, Boumediene; Owhadi, Houman Learning dynamical systems from data: a simple cross-validation perspective. I: Parametric kernel flows. (English) Zbl 1509.68217 Physica D 421, Article ID 132817, 10 p. (2021). MSC: 68T05 37M10 PDFBibTeX XMLCite \textit{B. Hamzi} and \textit{H. Owhadi}, Physica D 421, Article ID 132817, 10 p. (2021; Zbl 1509.68217) Full Text: DOI arXiv
Haasdonk, B.; Hamzi, B.; Santin, G.; Wittwar, D. Kernel methods for center manifold approximation and a weak data-based version of the center manifold theorem. (English) Zbl 1523.34046 Physica D 427, Article ID 133007, 14 p. (2021). MSC: 34C45 34C05 37M21 PDFBibTeX XMLCite \textit{B. Haasdonk} et al., Physica D 427, Article ID 133007, 14 p. (2021; Zbl 1523.34046) Full Text: DOI arXiv
Colonius, Fritz; Hamzi, Boumediene Entropy for practical stabilization. (English) Zbl 1467.93237 SIAM J. Control Optim. 59, No. 3, 2195-2222 (2021). MSC: 93D05 93C10 94A17 93B52 PDFBibTeX XMLCite \textit{F. Colonius} and \textit{B. Hamzi}, SIAM J. Control Optim. 59, No. 3, 2195--2222 (2021; Zbl 1467.93237) Full Text: DOI arXiv
Bittracher, Andreas; Klus, Stefan; Hamzi, Boumediene; Koltai, Péter; Schütte, Christof Dimensionality reduction of complex metastable systems via kernel embeddings of transition manifolds. (English) Zbl 1466.37068 J. Nonlinear Sci. 31, No. 1, Paper No. 3, 41 p. (2021). MSC: 37M99 68T05 68T10 PDFBibTeX XMLCite \textit{A. Bittracher} et al., J. Nonlinear Sci. 31, No. 1, Paper No. 3, 41 p. (2021; Zbl 1466.37068) Full Text: DOI arXiv
Hamzi, Boumediene; Maulik, Romit; Owhadi, Houman Data-driven geophysical forecasting: Simple, low-cost, and accurate baselines with kernel methods. arXiv:2103.10935 Preprint, arXiv:2103.10935 [physics.ao-ph] (2021). BibTeX Cite \textit{B. Hamzi} et al., ``Data-driven geophysical forecasting: Simple, low-cost, and accurate baselines with kernel methods'', Preprint, arXiv:2103.10935 [physics.ao-ph] (2021) Full Text: arXiv OA License
Haasdonk, Bernard; Hamzi, Boumediene; Santin, Gabriele; Wittwar, Dominik Greedy kernel methods for center manifold approximation. (English) Zbl 1485.37072 Sherwin, Spencer J. (ed.) et al., Spectral and high order methods for partial differential equations, ICOSAHOM 2018. Selected papers from the ICOSAHOM conference, London, UK, July 9–13, 2018. Cham: Springer. Lect. Notes Comput. Sci. Eng. 134, 95-106 (2020). MSC: 37M21 37D10 PDFBibTeX XMLCite \textit{B. Haasdonk} et al., Lect. Notes Comput. Sci. Eng. 134, 95--106 (2020; Zbl 1485.37072) Full Text: DOI arXiv
Giesl, Peter; Hamzi, Boumediene; Rasmussen, Martin; Webster, Kevin Approximation of Lyapunov functions from noisy data. (English) Zbl 1447.37074 J. Comput. Dyn. 7, No. 1, 57-81 (2020). MSC: 37M25 65P10 93D30 PDFBibTeX XMLCite \textit{P. Giesl} et al., J. Comput. Dyn. 7, No. 1, 57--81 (2020; Zbl 1447.37074) Full Text: DOI arXiv
Hamzi, Boumediene; Abed, Eyad H. Local modal participation analysis of nonlinear systems using Poincaré linearization. (English) Zbl 1430.70088 Nonlinear Dyn. 99, No. 1, 803-811 (2020). MSC: 70K60 37N99 PDFBibTeX XMLCite \textit{B. Hamzi} and \textit{E. H. Abed}, Nonlinear Dyn. 99, No. 1, 803--811 (2020; Zbl 1430.70088) Full Text: DOI
Klus, Stefan; Nüske, Feliks; Hamzi, Boumediene Kernel-based approximation of the Koopman generator and Schrödinger operator. arXiv:2005.13231 Preprint, arXiv:2005.13231 [math.DS] (2020). BibTeX Cite \textit{S. Klus} et al., ``Kernel-based approximation of the Koopman generator and Schr\"odinger operator'', Preprint, arXiv:2005.13231 [math.DS] (2020) Full Text: DOI arXiv OA License
Hamzi, Boumediene; Kuehn, Christian; Mohamed, Sameh A note on kernel methods for multiscale systems with critical transitions. (English) Zbl 1410.34170 Math. Methods Appl. Sci. 42, No. 3, 907-917 (2019). MSC: 34E15 34C23 47B34 34F05 34E13 PDFBibTeX XMLCite \textit{B. Hamzi} et al., Math. Methods Appl. Sci. 42, No. 3, 907--917 (2019; Zbl 1410.34170) Full Text: DOI arXiv
Hamzi, Boumediene; Abed, Eyad A Note on Local Mode-in-State Participation Factors for Nonlinear Systems. arXiv:1811.04205 Preprint, arXiv:1811.04205 [cs.SY] (2018). MSC: 93-XX BibTeX Cite \textit{B. Hamzi} and \textit{E. Abed}, ``A Note on Local Mode-in-State Participation Factors for Nonlinear Systems'', Preprint, arXiv:1811.04205 [cs.SY] (2018) Full Text: arXiv OA License
Bouvrie, Jake; Hamzi, Boumediene Kernel methods for the approximation of some key quantities of nonlinear systems. (English) Zbl 1394.37115 J. Comput. Dyn. 4, No. 1-2, 1-19 (2017). MSC: 37M99 60H10 93A10 PDFBibTeX XMLCite \textit{J. Bouvrie} and \textit{B. Hamzi}, J. Comput. Dyn. 4, No. 1--2, 1--19 (2017; Zbl 1394.37115) Full Text: DOI arXiv
Bouvrie, Jake; Hamzi, Boumediene Kernel methods for the approximation of nonlinear systems. (English) Zbl 1368.93248 SIAM J. Control Optim. 55, No. 4, 2460-2492 (2017). MSC: 93C10 68T05 93C15 37M10 30C40 41A65 46E22 PDFBibTeX XMLCite \textit{J. Bouvrie} and \textit{B. Hamzi}, SIAM J. Control Optim. 55, No. 4, 2460--2492 (2017; Zbl 1368.93248) Full Text: DOI arXiv
Hamzi, Boumediene; Lamb, Jeroen S. W.; Lewis, Debra A characterization of normal forms for control systems. (English) Zbl 1330.34066 J. Dyn. Control Syst. 21, No. 2, 273-284 (2015). Reviewer: Andrea Bacciotti (Torino) MSC: 34C20 58K50 34H05 93C10 PDFBibTeX XMLCite \textit{B. Hamzi} et al., J. Dyn. Control Syst. 21, No. 2, 273--284 (2015; Zbl 1330.34066) Full Text: DOI arXiv
Colonius, Fritz; Hamzi, Boumediene Kernel Methods for Linear Discrete-Time Equations. arXiv:1507.03111 Preprint, arXiv:1507.03111 [math.DS] (2015). BibTeX Cite \textit{F. Colonius} and \textit{B. Hamzi}, ``Kernel Methods for Linear Discrete-Time Equations'', Preprint, arXiv:1507.03111 [math.DS] (2015) Full Text: arXiv OA License
Bouvrie, Jake; Hamzi, Boumediene Balanced Reduction of Nonlinear Control Systems in Reproducing Kernel Hilbert Space. arXiv:1011.2952 Preprint, arXiv:1011.2952 [math.OC] (2010). BibTeX Cite \textit{J. Bouvrie} and \textit{B. Hamzi}, ``Balanced Reduction of Nonlinear Control Systems in Reproducing Kernel Hilbert Space'', Preprint, arXiv:1011.2952 [math.OC] (2010) Full Text: arXiv OA License
Hamzi, Boumediene; Krener, Arthur J. The controlled center systems. (English) Zbl 1366.93205 IEEE Trans. Autom. Control 52, No. 11, 2188-2192 (2007). MSC: 93B51 93C15 34C23 PDFBibTeX XMLCite \textit{B. Hamzi} and \textit{A. J. Krener}, IEEE Trans. Autom. Control 52, No. 11, 2188--2192 (2007; Zbl 1366.93205) Full Text: DOI
Hamzi, Boumediene; Krener, Arthur J.; Kang, Wei The controlled center dynamics of discrete time control bifurcations. (English) Zbl 1129.93501 Syst. Control Lett. 55, No. 7, 585-596 (2006). MSC: 93D15 37G99 37N35 PDFBibTeX XMLCite \textit{B. Hamzi} et al., Syst. Control Lett. 55, No. 7, 585--596 (2006; Zbl 1129.93501) Full Text: DOI
Krener, Arthur J.; Kang, Wei; Hamzi, Boumediene; Tall, Issa Low codimension control singularities for single input nonlinear systems. (English) Zbl 1203.93092 Dayawansa, Wijesuriya P. (ed.) et al., New directions and applications in control theory. Papers presented at a conference in honor of Clyde Martin on the occasion of his 60th birthday, Lubbock, Texas, USA, November 14-15, 2003. Berlin: Springer (ISBN 3-540-23953-7/pbk). Lecture Notes in Control and Information Sciences 321, 181-192 (2005). MSC: 93B99 93C15 PDFBibTeX XMLCite \textit{A. J. Krener} et al., Lect. Notes Control Inf. Sci. 321, 181--192 (2005; Zbl 1203.93092) Full Text: DOI
Hamzi, Boumediene; Kang, Wei; Krener, Arthur J. The controlled center dynamics. (English) Zbl 1108.93027 Multiscale Model. Simul. 3, No. 4, 838-852 (2005). MSC: 93B11 93C10 93C15 37L10 37N35 PDFBibTeX XMLCite \textit{B. Hamzi} et al., Multiscale Model. Simul. 3, No. 4, 838--852 (2005; Zbl 1108.93027) Full Text: DOI Link
Hamzi, Boumediene; Kang, Wei; Barbot, Jean-Pierre Analysis and control of Hopf bifurcations. (English) Zbl 1069.93014 SIAM J. Control Optimization 42, No. 6, 2200-2220 (2004). MSC: 93C10 93C15 37L10 37N35 PDFBibTeX XMLCite \textit{B. Hamzi} et al., SIAM J. Control Optim. 42, No. 6, 2200--2220 (2004; Zbl 1069.93014) Full Text: DOI
Hamzi, Boumediene; Krener, Arthur J. Practical stabilization of systems with a fold control bifurcation. (English) Zbl 1203.93175 Kang, Wei (ed.) et al., New trends in nonlinear dynamics and control, and their applications. Berlin: Springer (ISBN 3-540-40474-0/pbk). Lect. Notes Control Inf. Sci. 295, 37-48 (2003). MSC: 93D15 34D20 34H05 PDFBibTeX XMLCite \textit{B. Hamzi} and \textit{A. J. Krener}, Lect. Notes Control Inf. Sci. 295, 37--48 (2003; Zbl 1203.93175)
Hamzi, Boumediene; Kang, Wei Resonant terms and bifurcations of nonlinear control systems with one uncontrollable mode. (English) Zbl 1157.93404 Syst. Control Lett. 49, No. 4, 267-278 (2003). MSC: 93C10 34C23 34H05 37N35 PDFBibTeX XMLCite \textit{B. Hamzi} and \textit{W. Kang}, Syst. Control Lett. 49, No. 4, 267--278 (2003; Zbl 1157.93404) Full Text: DOI
Hamzi, B.; Barbot, J.-P.; Monaco, S.; Normand-Cyrot, D. Nonlinear discrete-time control of systems with a Naimark-Sacker bifurcation. (English) Zbl 0986.93058 Syst. Control Lett. 44, No. 4, 245-258 (2001). MSC: 93D15 93C55 93C10 93B10 PDFBibTeX XMLCite \textit{B. Hamzi} et al., Syst. Control Lett. 44, No. 4, 245--258 (2001; Zbl 0986.93058) Full Text: DOI
Hamzi, B. Some results on inverse optimality based designs. (English) Zbl 0974.93023 Syst. Control Lett. 43, No. 4, 239-246 (2001). MSC: 93B51 93D21 49N45 PDFBibTeX XMLCite \textit{B. Hamzi}, Syst. Control Lett. 43, No. 4, 239--246 (2001; Zbl 0974.93023) Full Text: DOI
Hamzi, B.; Praly, L. Ignored input dynamics and a new characterization of control Lyapunov functions. (English) Zbl 0990.93111 Automatica 37, No. 6, 831-841 (2001). Reviewer: A.Bacciotti (Torino) MSC: 93D21 93D15 93D30 PDFBibTeX XMLCite \textit{B. Hamzi} and \textit{L. Praly}, Automatica 37, No. 6, 831--841 (2001; Zbl 0990.93111) Full Text: DOI