Bartolucci, Francesca; De Vito, Ernesto; Rosasco, Lorenzo; Vigogna, Stefano Understanding neural networks with reproducing kernel Banach spaces. (English) Zbl 1511.46015 Appl. Comput. Harmon. Anal. 62, 194-236 (2023). MSC: 46E22 68T07 PDFBibTeX XMLCite \textit{F. Bartolucci} et al., Appl. Comput. Harmon. Anal. 62, 194--236 (2023; Zbl 1511.46015) Full Text: DOI arXiv
Mourtada, Jaouad; Rosasco, Lorenzo An elementary analysis of ridge regression with random design. (English) Zbl 07600072 C. R., Math., Acad. Sci. Paris 360, 1055-1063 (2022). MSC: 62J07 62G08 60B20 PDFBibTeX XMLCite \textit{J. Mourtada} and \textit{L. Rosasco}, C. R., Math., Acad. Sci. Paris 360, 1055--1063 (2022; Zbl 07600072) Full Text: DOI arXiv
De Vito, Ernesto; Rosasco, Lorenzo; Rudi, Alessandro Regularization: from inverse problems to large-scale machine learning. (English) Zbl 07471340 De Mari, Filippo (ed.) et al., Harmonic and applied analysis. From Radon transforms to machine learning. Based on contributions presented at the 2nd and 3rd summer schools on applied harmonic analysis, University of Genova, Genova, Italy, 2017 and 2019. Cham: Birkhäuser. Appl. Numer. Harmon. Anal., 245-296 (2021). MSC: 68Txx PDFBibTeX XMLCite \textit{E. De Vito} et al., in: Harmonic and applied analysis. From Radon transforms to machine learning. Based on contributions presented at the 2nd and 3rd summer schools on applied harmonic analysis, University of Genova, Genova, Italy, 2017 and 2019. Cham: Birkhäuser. 245--296 (2021; Zbl 07471340) Full Text: DOI
De Vito, Ernesto; Mücke, Nicole; Rosasco, Lorenzo Reproducing kernel Hilbert spaces on manifolds: Sobolev and diffusion spaces. (English) Zbl 1478.46021 Anal. Appl., Singap. 19, No. 3, 363-396 (2021). MSC: 46E22 58J60 PDFBibTeX XMLCite \textit{E. De Vito} et al., Anal. Appl., Singap. 19, No. 3, 363--396 (2021; Zbl 1478.46021) Full Text: DOI arXiv
Lu, Xuefei; Rudi, Alessandro; Borgonovo, Emanuele; Rosasco, Lorenzo Faster Kriging: facing high-dimensional simulators. (English) Zbl 1445.90001 Oper. Res. 68, No. 1, 233-249 (2020). MSC: 90-10 PDFBibTeX XMLCite \textit{X. Lu} et al., Oper. Res. 68, No. 1, 233--249 (2020; Zbl 1445.90001) Full Text: DOI
De Vito, Ernesto; Rosasco, Lorenzo; Toigo, Alessandro Learning sets with separating kernels. (English) Zbl 1345.94022 Appl. Comput. Harmon. Anal. 37, No. 2, 185-217 (2014). MSC: 94A15 PDFBibTeX XMLCite \textit{E. De Vito} et al., Appl. Comput. Harmon. Anal. 37, No. 2, 185--217 (2014; Zbl 1345.94022) Full Text: DOI arXiv
De Vito, E.; Pereverzyev, S.; Rosasco, L. Adaptive kernel methods using the balancing principle. (English) Zbl 1204.68154 Found. Comput. Math. 10, No. 4, 455-479 (2010). MSC: 68T05 68Q32 PDFBibTeX XMLCite \textit{E. De Vito} et al., Found. Comput. Math. 10, No. 4, 455--479 (2010; Zbl 1204.68154) Full Text: DOI
Smale, S.; Rosasco, L.; Bouvrie, J.; Caponnetto, A.; Poggio, T. Mathematics of the neural response. (English) Zbl 1185.68813 Found. Comput. Math. 10, No. 1, 67-91 (2010). MSC: 68U10 68Q32 68T45 68T10 68T05 PDFBibTeX XMLCite \textit{S. Smale} et al., Found. Comput. Math. 10, No. 1, 67--91 (2010; Zbl 1185.68813) Full Text: DOI
Lo Gerfo, L.; Rosasco, L.; Odone, F.; de Vito, E.; Verri, A. Spectral algorithms for supervised learning. (English) Zbl 1147.68643 Neural Comput. 20, No. 7, 1873-1897 (2008). MSC: 68T05 PDFBibTeX XMLCite \textit{L. Lo Gerfo} et al., Neural Comput. 20, No. 7, 1873--1897 (2008; Zbl 1147.68643) Full Text: DOI
Bauer, Frank; Pereverzev, Sergei; Rosasco, Lorenzo On regularization algorithms in learning theory. (English) Zbl 1109.68088 J. Complexity 23, No. 1, 52-72 (2007). MSC: 68T05 PDFBibTeX XMLCite \textit{F. Bauer} et al., J. Complexity 23, No. 1, 52--72 (2007; Zbl 1109.68088) Full Text: DOI
Rosasco, Lorenzo; de Vito, Ernesto; Caponnetto, Andrea; Piana, Michele; Verri, Alessandro Are loss functions all the same? (English) Zbl 1089.68109 Neural Comput. 16, No. 5, 1063-1076 (2004). MSC: 68T05 PDFBibTeX XMLCite \textit{L. Rosasco} et al., Neural Comput. 16, No. 5, 1063--1076 (2004; Zbl 1089.68109) Full Text: DOI