Ding, Xiucai; Ma, Rong Learning low-dimensional nonlinear structures from high-dimensional noisy data: an integral operator approach. (English) Zbl 07783517 Ann. Stat. 51, No. 4, 1744-1769 (2023). MSC: 62R07 62R30 47G10 PDFBibTeX XMLCite \textit{X. Ding} and \textit{R. Ma}, Ann. Stat. 51, No. 4, 1744--1769 (2023; Zbl 07783517) Full Text: DOI arXiv Link
Schütte, Christof; Klus, Stefan; Hartmann, Carsten Overcoming the timescale barrier in molecular dynamics: transfer operators, variational principles and machine learning. (English) Zbl 07736659 Acta Numerica 32, 517-673 (2023). MSC: 65-XX 37M10 37M25 82C31 82M37 47D07 60J35 60J60 PDFBibTeX XMLCite \textit{C. Schütte} et al., Acta Numerica 32, 517--673 (2023; Zbl 07736659) Full Text: DOI
Bhunia, Pintu; Paul, Kallol; Sen, Anirban Inequalities involving Berezin norm and Berezin number. (English) Zbl 07639062 Complex Anal. Oper. Theory 17, No. 1, Paper No. 7, 15 p. (2023). MSC: 47A30 15A60 47A12 PDFBibTeX XMLCite \textit{P. Bhunia} et al., Complex Anal. Oper. Theory 17, No. 1, Paper No. 7, 15 p. (2023; Zbl 07639062) Full Text: DOI arXiv
Dietrich, Felix; Yair, Or; Mulayoff, Rotem; Talmon, Ronen; Kevrekidis, Ioannis G. Spectral discovery of jointly smooth features for multimodal data. (English) Zbl 07507774 SIAM J. Math. Data Sci. 4, No. 1, 410-430 (2022). MSC: 68T05 94A12 46N40 47N40 35K08 58C05 PDFBibTeX XMLCite \textit{F. Dietrich} et al., SIAM J. Math. Data Sci. 4, No. 1, 410--430 (2022; Zbl 07507774) Full Text: DOI arXiv
Deepan, Urairat; Kumam, Poom; Chaipunya, Parin Sparse pinball twin parametric margin support vector machine. (English) Zbl 07450736 Thai J. Math. 19, No. 2, 607-622 (2021). MSC: 62-XX 26B25 47H05 47J25 58A05 58B20 90C33 PDFBibTeX XMLCite \textit{U. Deepan} et al., Thai J. Math. 19, No. 2, 607--622 (2021; Zbl 07450736) Full Text: Link
Aziznejad, Shayan; Unser, Michael Multikernel regression with sparsity constraint. (English) Zbl 1479.46026 SIAM J. Math. Data Sci. 3, No. 1, 201-224 (2021). MSC: 46E22 46E27 47A52 62G08 68T05 PDFBibTeX XMLCite \textit{S. Aziznejad} and \textit{M. Unser}, SIAM J. Math. Data Sci. 3, No. 1, 201--224 (2021; Zbl 1479.46026) Full Text: DOI arXiv
Wang, Peiyan; Cai, Dongfeng Multiple kernel learning by empirical target kernel. (English) Zbl 1435.68285 Int. J. Wavelets Multiresolut. Inf. Process. 18, No. 2, Article ID 1950058, 15 p. (2020). MSC: 68T05 46E22 47B32 62H30 62J02 PDFBibTeX XMLCite \textit{P. Wang} and \textit{D. Cai}, Int. J. Wavelets Multiresolut. Inf. Process. 18, No. 2, Article ID 1950058, 15 p. (2020; Zbl 1435.68285) Full Text: DOI
Levin, Eitan; Meltzer, Alexander Y. Estimation of the regularization parameter in linear discrete ill-posed problems using the Picard parameter. (English) Zbl 1378.65117 SIAM J. Sci. Comput. 39, No. 6, A2741-A2762 (2017). MSC: 65J20 65J10 47A52 65J22 PDFBibTeX XMLCite \textit{E. Levin} and \textit{A. Y. Meltzer}, SIAM J. Sci. Comput. 39, No. 6, A2741--A2762 (2017; Zbl 1378.65117) Full Text: DOI arXiv
Jorgensen, Palle; Tian, Feng Nonuniform sampling, reproducing kernels, and the associated Hilbert spaces. (English) Zbl 1393.47047 Sampl. Theory Signal Image Process. 15, 37-72 (2016). MSC: 47L60 46N30 46N50 42C15 65R10 31C20 62D05 94A20 39A12 46N20 22E70 31A15 58J65 PDFBibTeX XMLCite \textit{P. Jorgensen} and \textit{F. Tian}, Sampl. Theory Signal Image Process. 15, 37--72 (2016; Zbl 1393.47047) Full Text: arXiv Link
Adamczak, Radosław; Bednorz, Witold Some remarks on MCMC estimation of spectra of integral operators. (English) Zbl 1350.60027 Bernoulli 21, No. 4, 2073-2092 (2015). MSC: 60F15 60B20 60J10 60J22 45P05 47G10 65C05 65C40 PDFBibTeX XMLCite \textit{R. Adamczak} and \textit{W. Bednorz}, Bernoulli 21, No. 4, 2073--2092 (2015; Zbl 1350.60027) Full Text: DOI arXiv Euclid
Boţ, Radu Ioan; Heinrich, André; Wanka, Gert Employing different loss functions for the classification of images via supervised learning. (English) Zbl 1305.49044 Cent. Eur. J. Math. 12, No. 2, 381-394 (2014). Reviewer: Maxim Ivanov Todorov (San Andres Cholula) MSC: 49N15 47A52 90C25 62H30 93E35 68T05 68U10 PDFBibTeX XMLCite \textit{R. I. Boţ} et al., Cent. Eur. J. Math. 12, No. 2, 381--394 (2014; Zbl 1305.49044) Full Text: DOI
Suzuki, Taiji Improvement of multiple kernel learning using adaptively weighted regularization. (English) Zbl 1414.62138 JSIAM Lett. 5, 49-52 (2013). MSC: 62G08 62G07 47B32 46E22 68T05 PDFBibTeX XMLCite \textit{T. Suzuki}, JSIAM Lett. 5, 49--52 (2013; Zbl 1414.62138) Full Text: DOI
Steinwart, Ingo; Scovel, Clint Mercer’s theorem on general domains: on the interaction between measures, kernels, and RKHSs. (English) Zbl 1252.46018 Constr. Approx. 35, No. 3, 363-417 (2012). Reviewer: Mikael Lindström (Oulu) MSC: 46E22 47B32 PDFBibTeX XMLCite \textit{I. Steinwart} and \textit{C. Scovel}, Constr. Approx. 35, No. 3, 363--417 (2012; Zbl 1252.46018) Full Text: DOI arXiv
von Luxburg, Ulrike; Belkin, Mikhail; Bousquet, Olivier Consistency of spectral clustering. (English) Zbl 1133.62045 Ann. Stat. 36, No. 2, 555-586 (2008). MSC: 62H30 05C90 65C60 62G20 05C50 47N30 PDFBibTeX XMLCite \textit{U. von Luxburg} et al., Ann. Stat. 36, No. 2, 555--586 (2008; Zbl 1133.62045) Full Text: DOI arXiv
Blanchard, Gilles; Bousquet, Olivier; Massart, Pascal Statistical performance of support vector machines. (English) Zbl 1133.62044 Ann. Stat. 36, No. 2, 489-531 (2008). MSC: 62H30 68T05 62G05 62G20 62M45 47N30 PDFBibTeX XMLCite \textit{G. Blanchard} et al., Ann. Stat. 36, No. 2, 489--531 (2008; Zbl 1133.62044) Full Text: DOI arXiv
Vishwanathan, S. V. N.; Smola, Alexander J.; Vidal, René Binet-Cauchy kernels on dynamical systems and its application to the analysis of dynamic scenes. (English) Zbl 1477.68433 Int. J. Comput. Vis. 73, No. 1, 95-119 (2007). MSC: 68T45 47B32 68T05 PDFBibTeX XMLCite \textit{S. V. N. Vishwanathan} et al., Int. J. Comput. Vis. 73, No. 1, 95--119 (2007; Zbl 1477.68433) Full Text: DOI Link
Nunez, Manuel A. Extreme points of well-posed polytopes. (English) Zbl 1124.90050 Optimization 55, No. 3, 269-288 (2006). MSC: 90C57 47A52 52B05 52B55 90C31 90C05 PDFBibTeX XMLCite \textit{M. A. Nunez}, Optimization 55, No. 3, 269--288 (2006; Zbl 1124.90050) Full Text: DOI