Erichson, N. Benjamin; Mathelin, Lionel; Yao, Zhewei; Brunton, Steven L.; Mahoney, Michael W.; Kutz, J. Nathan Shallow neural networks for fluid flow reconstruction with limited sensors. (English) Zbl 1472.68172 Proc. R. Soc. Lond., A, Math. Phys. Eng. Sci. 476, No. 2238, Article ID 20200097, 25 p. (2020). MSC: 68T07 76M99 PDFBibTeX XMLCite \textit{N. B. Erichson} et al., Proc. R. Soc. Lond., A, Math. Phys. Eng. Sci. 476, No. 2238, Article ID 20200097, 25 p. (2020; Zbl 1472.68172) Full Text: DOI arXiv Link
Erichson, N. Benjamin; Mathelin, Lionel; Kutz, J. Nathan; Brunton, Steven L. Randomized dynamic mode decomposition. (English) Zbl 1427.65410 SIAM J. Appl. Dyn. Syst. 18, No. 4, 1867-1891 (2019). MSC: 65P99 65F20 37M10 37N10 PDFBibTeX XMLCite \textit{N. B. Erichson} et al., SIAM J. Appl. Dyn. Syst. 18, No. 4, 1867--1891 (2019; Zbl 1427.65410) Full Text: DOI arXiv
Alla, Alessandro; Kutz, J. Nathan Randomized model order reduction. (English) Zbl 1418.65193 Adv. Comput. Math. 45, No. 3, 1251-1271 (2019). MSC: 65P99 37M05 65F30 15B52 PDFBibTeX XMLCite \textit{A. Alla} and \textit{J. N. Kutz}, Adv. Comput. Math. 45, No. 3, 1251--1271 (2019; Zbl 1418.65193) Full Text: DOI arXiv Link
Manohar, Krithika; Kaiser, Eurika; Brunton, Steven L.; Kutz, J. Nathan Optimized sampling for multiscale dynamics. (English) Zbl 07033871 Multiscale Model. Simul. 17, No. 1, 117-136 (2019). MSC: 65T99 37M10 37N10 62K99 PDFBibTeX XMLCite \textit{K. Manohar} et al., Multiscale Model. Simul. 17, No. 1, 117--136 (2019; Zbl 07033871) Full Text: DOI arXiv
Sargsyan, Syuzanna; Brunton, Steven L.; Kutz, J. Nathan Online interpolation point refinement for reduced-order models using a genetic algorithm. (English) Zbl 1383.65123 SIAM J. Sci. Comput. 40, No. 1, B283-B304 (2018). MSC: 65M55 35Q30 35Q56 PDFBibTeX XMLCite \textit{S. Sargsyan} et al., SIAM J. Sci. Comput. 40, No. 1, B283--B304 (2018; Zbl 1383.65123) Full Text: DOI arXiv
Kaiser, Eurika; Morzyński, Marek; Daviller, Guillaume; Kutz, J. Nathan; Brunton, Bingni W.; Brunton, Steven L. Sparsity enabled cluster reduced-order models for control. (English) Zbl 1375.76075 J. Comput. Phys. 352, 388-409 (2018). MSC: 76F70 68T05 PDFBibTeX XMLCite \textit{E. Kaiser} et al., J. Comput. Phys. 352, 388--409 (2018; Zbl 1375.76075) Full Text: DOI arXiv
Kutz, J. Nathan; Sargsyan, Syuzanna; Brunton, Steven L. Leveraging sparsity and compressive sensing for reduced order modeling. (English) Zbl 1464.76174 Benner, Peter (ed.) et al., Model reduction of parametrized systems. Selected contributions based on the presentations at the MoRePaS conference, SISSA, Trieste, Italy, October 13–16, 2015. Cham: Springer. MS&A, Model. Simul. Appl. 17, 301-315 (2017). MSC: 76M99 76D05 76D55 65M22 PDFBibTeX XMLCite \textit{J. N. Kutz} et al., MS\&A, Model. Simul. Appl. 17, 301--315 (2017; Zbl 1464.76174) Full Text: DOI
Alla, Alessandro; Kutz, J. Nathan Nonlinear model order reduction via dynamic mode decomposition. (English) Zbl 1373.65090 SIAM J. Sci. Comput. 39, No. 5, B778-B796 (2017). MSC: 65P99 37M05 PDFBibTeX XMLCite \textit{A. Alla} and \textit{J. N. Kutz}, SIAM J. Sci. Comput. 39, No. 5, B778--B796 (2017; Zbl 1373.65090) Full Text: DOI arXiv
Brunton, B. W.; Brunton, S. L.; Proctor, J. L.; Kutz, J. N. Sparse sensor placement optimization for classification. (English) Zbl 1350.49037 SIAM J. Appl. Math. 76, No. 5, 2099-2122 (2016). MSC: 49M30 49N30 94A13 94A20 94A08 PDFBibTeX XMLCite \textit{B. W. Brunton} et al., SIAM J. Appl. Math. 76, No. 5, 2099--2122 (2016; Zbl 1350.49037) Full Text: DOI