Moslehian, Mohammad Sal Vector-valued reproducing kernel Hilbert \(C^*\)-modules. (English) Zbl 1487.46064 Complex Anal. Oper. Theory 16, No. 1, Paper No. 2, 17 p. (2022). Reviewer: Vladimir M. Manuilov (Moskva) MSC: 46L08 46E22 47A56 46L05 PDF BibTeX XML Cite \textit{M. S. Moslehian}, Complex Anal. Oper. Theory 16, No. 1, Paper No. 2, 17 p. (2022; Zbl 1487.46064) Full Text: DOI arXiv OpenURL
Nelsen, Nicholas H.; Stuart, Andrew M. The random feature model for input-output maps between Banach spaces. (English) Zbl 07398767 SIAM J. Sci. Comput. 43, No. 5, A3212-A3243 (2021). MSC: 65D15 65D40 62M45 35R60 PDF BibTeX XML Cite \textit{N. H. Nelsen} and \textit{A. M. Stuart}, SIAM J. Sci. Comput. 43, No. 5, A3212--A3243 (2021; Zbl 07398767) Full Text: DOI arXiv OpenURL
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 PDF BibTeX XML Cite \textit{E. De Vito} et al., Anal. Appl., Singap. 19, No. 3, 363--396 (2021; Zbl 1478.46021) Full Text: DOI arXiv OpenURL
Bisiacco, Mauro; Pillonetto, Gianluigi Kernel absolute summability is sufficient but not necessary for RKHS stability. (English) Zbl 1445.47056 SIAM J. Control Optim. 58, No. 4, 2006-2022 (2020). Reviewer: Denis Sidorov (Irkutsk) MSC: 47N70 93B30 93E12 46E22 47A52 65F22 PDF BibTeX XML Cite \textit{M. Bisiacco} and \textit{G. Pillonetto}, SIAM J. Control Optim. 58, No. 4, 2006--2022 (2020; Zbl 1445.47056) Full Text: DOI arXiv OpenURL
Bisiacco, Mauro; Pillonetto, Gianluigi On the mathematical foundations of stable RKHSs. (English) Zbl 1447.93058 Automatica 118, Article ID 109038, 11 p. (2020). Reviewer: Denis Sidorov (Irkutsk) MSC: 93B30 93C25 93D25 93C05 PDF BibTeX XML Cite \textit{M. Bisiacco} and \textit{G. Pillonetto}, Automatica 118, Article ID 109038, 11 p. (2020; Zbl 1447.93058) Full Text: DOI arXiv OpenURL
Foster, James; Lyons, Terry; Oberhauser, Harald An optimal polynomial approximation of Brownian motion. (English) Zbl 1434.60226 SIAM J. Numer. Anal. 58, No. 3, 1393-1421 (2020). MSC: 60J65 41A10 60L90 65C30 PDF BibTeX XML Cite \textit{J. Foster} et al., SIAM J. Numer. Anal. 58, No. 3, 1393--1421 (2020; Zbl 1434.60226) Full Text: DOI arXiv OpenURL
Agud, L.; Calabuig, J. M.; Sánchez Pérez, E. A. Weighted \(p\)-regular kernels for reproducing kernel Hilbert spaces and Mercer theorem. (English) Zbl 1453.46018 Anal. Appl., Singap. 18, No. 3, 359-383 (2020). MSC: 46E22 46E30 30C40 47B34 PDF BibTeX XML Cite \textit{L. Agud} et al., Anal. Appl., Singap. 18, No. 3, 359--383 (2020; Zbl 1453.46018) Full Text: DOI OpenURL
Luque, T.; Vilela, M. C. Reproducing kernel for elastic Herglotz functions. (English) Zbl 1452.46020 Rev. Mat. Complut. 33, No. 2, 495-525 (2020). MSC: 46E22 74B05 35J05 PDF BibTeX XML Cite \textit{T. Luque} and \textit{M. C. Vilela}, Rev. Mat. Complut. 33, No. 2, 495--525 (2020; Zbl 1452.46020) Full Text: DOI arXiv OpenURL
Peng, Li; Zhang, Yanduo; Zhou, Huabing; Jiang, Junjun; Ma, Jiayi A non-parametric depth modification model for registration between color and depth images. (English) Zbl 1429.94021 Multidimensional Syst. Signal Process. 30, No. 3, 1129-1148 (2019). MSC: 94A08 PDF BibTeX XML Cite \textit{L. Peng} et al., Multidimensional Syst. Signal Process. 30, No. 3, 1129--1148 (2019; Zbl 1429.94021) Full Text: DOI OpenURL
Barahona, Sonia; Gual-Arnau, Ximo; Ibáñez, Maria Victoria; Simó, Amelia Unsupervised classification of children’s bodies using currents. (English) Zbl 1414.62431 Adv. Data Anal. Classif., ADAC 12, No. 2, 365-397 (2018). MSC: 62P10 62H30 68T10 PDF BibTeX XML Cite \textit{S. Barahona} et al., Adv. Data Anal. Classif., ADAC 12, No. 2, 365--397 (2018; Zbl 1414.62431) Full Text: DOI arXiv OpenURL
Chen, Tianshi; Pillonetto, Gianluigi On the stability of reproducing kernel Hilbert spaces of discrete-time impulse responses. (English) Zbl 1402.93091 Automatica 95, 529-533 (2018). MSC: 93B30 93C55 93C25 93C05 93D05 68T05 PDF BibTeX XML Cite \textit{T. Chen} and \textit{G. Pillonetto}, Automatica 95, 529--533 (2018; Zbl 1402.93091) Full Text: DOI OpenURL
Simon-Gabriel, Carl-Johann; Schölkopf, Bernhard Kernel distribution embeddings: universal kernels, characteristic kernels and kernel metrics on distributions. (English) Zbl 1467.62057 J. Mach. Learn. Res. 19, Paper No. 44, 29 p. (2018). MSC: 62G07 62E10 60B10 46E22 54C08 PDF BibTeX XML Cite \textit{C.-J. Simon-Gabriel} and \textit{B. Schölkopf}, J. Mach. Learn. Res. 19, Paper No. 44, 29 p. (2018; Zbl 1467.62057) Full Text: arXiv Link OpenURL
Pillonetto, Gianluigi System identification using kernel-based regularization: new insights on stability and consistency issues. (English) Zbl 1400.93316 Automatica 93, 321-332 (2018). MSC: 93E12 93C05 93C10 68T05 PDF BibTeX XML Cite \textit{G. Pillonetto}, Automatica 93, 321--332 (2018; Zbl 1400.93316) Full Text: DOI OpenURL
Chen, Tianshi On kernel design for regularized LTI system identification. (English) Zbl 1387.93064 Automatica 90, 109-122 (2018). MSC: 93B30 93C05 68T05 93B51 PDF BibTeX XML Cite \textit{T. Chen}, Automatica 90, 109--122 (2018; Zbl 1387.93064) Full Text: DOI arXiv OpenURL
Eigel, M.; Sturm, Kevin Reproducing kernel Hilbert spaces and variable metric algorithms in PDE-constrained shape optimization. (English) Zbl 1388.35036 Optim. Methods Softw. 33, No. 2, 268-296 (2018). MSC: 35J46 46E22 49Q10 PDF BibTeX XML Cite \textit{M. Eigel} and \textit{K. Sturm}, Optim. Methods Softw. 33, No. 2, 268--296 (2018; Zbl 1388.35036) Full Text: DOI arXiv OpenURL
Darwish, Mohamed Abdelmonim Hassan; Pillonetto, Gianluigi; Tóth, Roland The quest for the right kernel in Bayesian impulse response identification: the use of OBFs. (English) Zbl 1378.93130 Automatica 87, 318-329 (2018). MSC: 93E12 93C05 93E24 93E15 93B55 PDF BibTeX XML Cite \textit{M. A. H. Darwish} et al., Automatica 87, 318--329 (2018; Zbl 1378.93130) Full Text: DOI OpenURL
Combettes, Patrick L.; Salzo, Saverio; Villa, Silvia Regularized learning schemes in feature Banach spaces. (English) Zbl 1378.62015 Anal. Appl., Singap. 16, No. 1, 1-54 (2018). MSC: 62G08 46E22 46N30 68T05 60B11 PDF BibTeX XML Cite \textit{P. L. Combettes} et al., Anal. Appl., Singap. 16, No. 1, 1--54 (2018; Zbl 1378.62015) Full Text: DOI arXiv OpenURL
Griebel, Michael; Oswald, Peter Stable splittings of Hilbert spaces of functions of infinitely many variables. (English) Zbl 1378.46019 J. Complexity 41, 126-151 (2017). MSC: 46C05 46M05 41A63 PDF BibTeX XML Cite \textit{M. Griebel} and \textit{P. Oswald}, J. Complexity 41, 126--151 (2017; Zbl 1378.46019) Full Text: DOI OpenURL
Christmann, Andreas; Dumpert, Florian; Xiang, Dao-Hong On extension theorems and their connection to universal consistency in machine learning. (English) Zbl 1353.60035 Anal. Appl., Singap. 14, No. 6, 795-808 (2016). MSC: 60F99 62G20 46E22 68Q32 68T05 PDF BibTeX XML Cite \textit{A. Christmann} et al., Anal. Appl., Singap. 14, No. 6, 795--808 (2016; Zbl 1353.60035) Full Text: DOI arXiv OpenURL
Abhishake; Sivananthan, S. Multi-penalty regularization in learning theory. (English) Zbl 1350.68219 J. Complexity 36, 141-165 (2016). MSC: 68T05 PDF BibTeX XML Cite \textit{Abhishake} and \textit{S. Sivananthan}, J. Complexity 36, 141--165 (2016; Zbl 1350.68219) Full Text: DOI OpenURL
Dinuzzo, Francesco Kernels for linear time invariant system identification. (English) Zbl 1329.93049 SIAM J. Control Optim. 53, No. 5, 3299-3317 (2015). MSC: 93B30 47A52 46E22 PDF BibTeX XML Cite \textit{F. Dinuzzo}, SIAM J. Control Optim. 53, No. 5, 3299--3317 (2015; Zbl 1329.93049) Full Text: DOI arXiv Link OpenURL
Lazar, Aurel A.; Slutskiy, Yevgeniy B.; Zhou, Yiyin Massively parallel neural circuits for stereoscopic color vision: encoding, decoding and identification. (English) Zbl 1325.68242 Neural Netw. 63, 254-271 (2015). MSC: 68T45 68T05 PDF BibTeX XML Cite \textit{A. A. Lazar} et al., Neural Netw. 63, 254--271 (2015; Zbl 1325.68242) Full Text: DOI OpenURL
Pillonetto, Gianluigi; Dinuzzo, Francesco; Chen, Tianshi; De Nicolao, Giuseppe; Ljung, Lennart Kernel methods in system identification, machine learning and function estimation: a survey. (English) Zbl 1298.93342 Automatica 50, No. 3, 657-682 (2014). MSC: 93E12 93E10 93C05 68T05 PDF BibTeX XML Cite \textit{G. Pillonetto} et al., Automatica 50, No. 3, 657--682 (2014; Zbl 1298.93342) Full Text: DOI Link OpenURL
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 PDF BibTeX XML Cite \textit{E. De Vito} et al., Appl. Comput. Harmon. Anal. 37, No. 2, 185--217 (2014; Zbl 1345.94022) Full Text: DOI arXiv OpenURL
Ma, Jiayi; Zhao, Ji; Tian, Jinwen; Bai, Xiang; Tu, Zhuowen Regularized vector field learning with sparse approximation for mismatch removal. (English) Zbl 1326.68232 Pattern Recognition 46, No. 12, 3519-3532 (2013). MSC: 68T05 PDF BibTeX XML Cite \textit{J. Ma} et al., Pattern Recognition 46, No. 12, 3519--3532 (2013; Zbl 1326.68232) Full Text: DOI OpenURL
Sheng, Baohuai The convergence rates of Shannon sampling learning algorithms. (English) Zbl 1288.68199 Sci. China, Math. 55, No. 6, 1243-1256 (2012). MSC: 68T05 41A25 68Q32 62J02 PDF BibTeX XML Cite \textit{B. Sheng}, Sci. China, Math. 55, No. 6, 1243--1256 (2012; Zbl 1288.68199) Full Text: DOI OpenURL
Baldassarre, Luca; Rosasco, Lorenzo; Barla, Annalisa; Verri, Alessandro Multi-output learning via spectral filtering. (English) Zbl 1243.68233 Mach. Learn. 87, No. 3, 259-301 (2012). MSC: 68T05 68Q32 PDF BibTeX XML Cite \textit{L. Baldassarre} et al., Mach. Learn. 87, No. 3, 259--301 (2012; Zbl 1243.68233) Full Text: DOI Link OpenURL
Minh, Ha Quang Some properties of Gaussian reproducing kernel Hilbert spaces and their implications for function approximation and learning theory. (English) Zbl 1204.68157 Constr. Approx. 32, No. 2, 307-338 (2010). MSC: 68T05 68P30 PDF BibTeX XML Cite \textit{H. Q. Minh}, Constr. Approx. 32, No. 2, 307--338 (2010; Zbl 1204.68157) Full Text: DOI OpenURL
Quang, Minh Ha; Kang, Sung Ha; Le, Triet M. Image and video colorization using vector-valued reproducing kernel Hilbert spaces. (English) Zbl 1392.94042 J. Math. Imaging Vis. 37, No. 1, 49-65 (2010). MSC: 94A08 46E22 PDF BibTeX XML Cite \textit{M. H. Quang} et al., J. Math. Imaging Vis. 37, No. 1, 49--65 (2010; Zbl 1392.94042) Full Text: DOI OpenURL
Carmeli, C.; de Vito, E.; Toigo, A.; Umanità, V. Vector valued reproducing kernel Hilbert spaces and universality. (English) Zbl 1195.46025 Anal. Appl., Singap. 8, No. 1, 19-61 (2010). MSC: 46E22 22B99 PDF BibTeX XML Cite \textit{C. Carmeli} et al., Anal. Appl., Singap. 8, No. 1, 19--61 (2010; Zbl 1195.46025) Full Text: DOI arXiv OpenURL
Lei, Junjiang; Wen, Jie-Chang; A, Min; Xiao, Mingqing Approximation of Hopkins equation in Hilbert space and its application in polarized illumination modelling. (English) Zbl 1171.65100 Appl. Anal. 88, No. 4, 517-528 (2009). Reviewer: Iulian Coroian (Baia Mare) MSC: 65R20 45P05 47G10 78M25 78A10 45H05 PDF BibTeX XML Cite \textit{J. Lei} et al., Appl. Anal. 88, No. 4, 517--528 (2009; Zbl 1171.65100) Full Text: DOI OpenURL
De Mol, Christine; De Vito, Ernesto; Rosasco, Lorenzo Elastic-net regularization in learning theory. (English) Zbl 1319.62087 J. Complexity 25, No. 2, 201-230 (2009). MSC: 62G08 62J05 68T05 65C60 PDF BibTeX XML Cite \textit{C. De Mol} et al., J. Complexity 25, No. 2, 201--230 (2009; Zbl 1319.62087) Full Text: DOI arXiv Link OpenURL