Pronzato, L.; Zhigljavsky, A. Quasi-uniform designs with optimal and near-optimal uniformity constant. (English) Zbl 07734904 J. Approx. Theory 294, Article ID 105931, 14 p. (2023). MSC: 41-XX 42-XX PDF BibTeX XML Cite \textit{L. Pronzato} and \textit{A. Zhigljavsky}, J. Approx. Theory 294, Article ID 105931, 14 p. (2023; Zbl 07734904) Full Text: DOI arXiv
Haasdonk, Bernard; Kleikamp, Hendrik; Ohlberger, Mario; Schindler, Felix; Wenzel, Tizian A new certified hierarchical and adaptive RB-ML-ROM surrogate model for parametrized PDEs. (English) Zbl 1516.65087 SIAM J. Sci. Comput. 45, No. 3, A1039-A1065 (2023). MSC: 65M60 65M06 65N30 68T07 68Q32 65C05 49M41 PDF BibTeX XML Cite \textit{B. Haasdonk} et al., SIAM J. Sci. Comput. 45, No. 3, A1039--A1065 (2023; Zbl 1516.65087) Full Text: DOI arXiv
Cuomo, Salvatore; Erb, Wolfgang; Santin, Gabriele Kernel-based models for influence maximization on graphs based on Gaussian process variance minimization. (English) Zbl 07640812 J. Comput. Appl. Math. 423, Article ID 114951, 15 p. (2023). MSC: 65D05 94A12 41A05 41A63 91D30 PDF BibTeX XML Cite \textit{S. Cuomo} et al., J. Comput. Appl. Math. 423, Article ID 114951, 15 p. (2023; Zbl 07640812) Full Text: DOI arXiv
Campagna, R.; De Marchi, S.; Perracchione, E.; Santin, G. Stable interpolation with exponential-polynomial splines and node selection via greedy algorithms. (English) Zbl 1504.65028 Adv. Comput. Math. 48, No. 6, Paper No. 69, 27 p. (2022). MSC: 65D07 41A05 41A15 PDF BibTeX XML Cite \textit{R. Campagna} et al., Adv. Comput. Math. 48, No. 6, Paper No. 69, 27 p. (2022; Zbl 1504.65028) Full Text: DOI
Fanuel, Michaël; Schreurs, Joachim; Suykens, Johan A. K. Nyström landmark sampling and regularized Christoffel functions. (English) Zbl 07570156 Mach. Learn. 111, No. 6, 2213-2254 (2022). MSC: 68T05 PDF BibTeX XML Cite \textit{M. Fanuel} et al., Mach. Learn. 111, No. 6, 2213--2254 (2022; Zbl 07570156) Full Text: DOI arXiv
Erb, Wolfgang Graph signal interpolation with positive definite graph basis functions. (English) Zbl 1493.94005 Appl. Comput. Harmon. Anal. 60, 368-395 (2022). MSC: 94A12 05C50 41A05 PDF BibTeX XML Cite \textit{W. Erb}, Appl. Comput. Harmon. Anal. 60, 368--395 (2022; Zbl 1493.94005) Full Text: DOI arXiv
Marchetti, Francesco; Perracchione, Emma Efficient reduced basis algorithm (ERBA) for kernel-based approximation. (English) Zbl 1493.65030 J. Sci. Comput. 91, No. 2, Paper No. 41, 17 p. (2022). MSC: 65D07 41A05 65D10 65D15 PDF BibTeX XML Cite \textit{F. Marchetti} and \textit{E. Perracchione}, J. Sci. Comput. 91, No. 2, Paper No. 41, 17 p. (2022; Zbl 1493.65030) Full Text: DOI arXiv
Santin, Gabriele; Karvonen, Toni; Haasdonk, Bernard Sampling based approximation of linear functionals in reproducing kernel Hilbert spaces. (English) Zbl 1485.65024 BIT 62, No. 1, 279-310 (2022). MSC: 65D32 65J99 65D05 65D15 41A05 41A25 PDF BibTeX XML Cite \textit{G. Santin} et al., BIT 62, No. 1, 279--310 (2022; Zbl 1485.65024) Full Text: DOI arXiv
Dutta, Sourav; Farthing, Matthew W.; Perracchione, Emma; Savant, Gaurav; Putti, Mario A greedy non-intrusive reduced order model for shallow water equations. (English) Zbl 07512322 J. Comput. Phys. 439, Article ID 110378, 30 p. (2021). MSC: 41Axx 65Dxx 76Mxx PDF BibTeX XML Cite \textit{S. Dutta} et al., J. Comput. Phys. 439, Article ID 110378, 30 p. (2021; Zbl 07512322) 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 07477802 Physica D 427, Article ID 133007, 14 p. (2021). MSC: 34C45 34C05 PDF BibTeX XML Cite \textit{B. Haasdonk} et al., Physica D 427, Article ID 133007, 14 p. (2021; Zbl 07477802) Full Text: DOI arXiv
Santin, Gabriele; Haasdonk, Bernard Kernel methods for surrogate modeling. (English) Zbl 07445319 Benner, Peter (ed.) et al., Model order reduction. Volume 1: System- and data-driven methods and algorithms. Berlin: De Gruyter. 311-353 (2021). MSC: 65D05 65D15 46C05 68T05 PDF BibTeX XML Cite \textit{G. Santin} and \textit{B. Haasdonk}, in: Model order reduction. Volume 1: System- and data-driven methods and algorithms. Berlin: De Gruyter. 311--353 (2021; Zbl 07445319) Full Text: DOI arXiv
Xing, W. W.; Shah, A. A.; Wang, P.; Zhe, S.; Fu, Q.; Kirby, R. M. Residual Gaussian process: a tractable nonparametric Bayesian emulator for multi-fidelity simulations. (English) Zbl 1481.62017 Appl. Math. Modelling 97, 36-56 (2021). MSC: 62G05 62F15 PDF BibTeX XML Cite \textit{W. W. Xing} et al., Appl. Math. Modelling 97, 36--56 (2021; Zbl 1481.62017) Full Text: DOI arXiv
Wittwar, Dominik; Haasdonk, Bernard Convergence rates for matrix P-greedy variants. (English) Zbl 1475.65004 Vermolen, Fred J. (ed.) et al., Numerical mathematics and advanced applications. ENUMATH 2019. Proceedings of the European conference, Egmond aan Zee, The Netherlands, September 30 – October 4, 2019. Cham: Springer. Lect. Notes Comput. Sci. Eng. 139, 1195-1203 (2021). MSC: 65D05 PDF BibTeX XML Cite \textit{D. Wittwar} and \textit{B. Haasdonk}, Lect. Notes Comput. Sci. Eng. 139, 1195--1203 (2021; Zbl 1475.65004) Full Text: DOI
Karvonen, Toni; Särkkä, Simo; Tanaka, Ken’ichiro Kernel-based interpolation at approximate Fekete points. (English) Zbl 07340131 Numer. Algorithms 87, No. 1, 445-468 (2021); correction ibid. 87, No. 1, 469-471 (2021). Reviewer: Martin D. Buhmann (Gießen) MSC: 41A05 41A30 65D05 65D12 PDF BibTeX XML Cite \textit{T. Karvonen} et al., Numer. Algorithms 87, No. 1, 445--468 (2021; Zbl 07340131) Full Text: DOI arXiv
Wenzel, Tizian; Santin, Gabriele; Haasdonk, Bernard A novel class of stabilized greedy kernel approximation algorithms: convergence, stability and uniform point distribution. (English) Zbl 1458.65018 J. Approx. Theory 262, Article ID 105508, 31 p. (2021). MSC: 65D15 41A30 41A63 PDF BibTeX XML Cite \textit{T. Wenzel} et al., J. Approx. Theory 262, Article ID 105508, 31 p. (2021; Zbl 1458.65018) Full Text: DOI arXiv
Raei, Marzieh; Ghehsareh, Hadi Roohani; Galletti, Ardelio An adaptive sparse kernel technique in greedy algorithm framework to simulate an anomalous solute transport model. (English) Zbl 1464.65158 Eng. Anal. Bound. Elem. 121, 243-254 (2020). MSC: 65M99 PDF BibTeX XML Cite \textit{M. Raei} et al., Eng. Anal. Bound. Elem. 121, 243--254 (2020; Zbl 1464.65158) Full Text: DOI
Tanaka, Ken’ichiro Generation of point sets by convex optimization for interpolation in reproducing kernel Hilbert spaces. (English) Zbl 1459.65020 Numer. Algorithms 84, No. 3, 1049-1079 (2020). Reviewer: Antonio López-Carmona (Granada) MSC: 65D05 41A05 46E22 PDF BibTeX XML Cite \textit{K. Tanaka}, Numer. Algorithms 84, No. 3, 1049--1079 (2020; Zbl 1459.65020) Full Text: DOI arXiv
De Marchi, S.; Martínez, A.; Perracchione, E.; Rossini, M. RBF-based partition of unity methods for elliptic PDEs: adaptivity and stability issues via variably scaled kernels. (English) Zbl 1415.65026 J. Sci. Comput. 79, No. 1, 321-344 (2019). MSC: 65D05 65N35 65N12 PDF BibTeX XML Cite \textit{S. De Marchi} et al., J. Sci. Comput. 79, No. 1, 321--344 (2019; Zbl 1415.65026) Full Text: DOI
Köppel, Markus; Franzelin, Fabian; Kröker, Ilja; Oladyshkin, Sergey; Santin, Gabriele; Wittwar, Dominik; Barth, Andrea; Haasdonk, Bernard; Nowak, Wolfgang; Pflüger, Dirk; Rohde, Christian Comparison of data-driven uncertainty quantification methods for a carbon dioxide storage benchmark scenario. (English) Zbl 1414.76058 Comput. Geosci. 23, No. 2, 339-354 (2019). MSC: 76S05 60H35 62P30 76T10 PDF BibTeX XML Cite \textit{M. Köppel} et al., Comput. Geosci. 23, No. 2, 339--354 (2019; Zbl 1414.76058) Full Text: DOI arXiv
Haasdonk, Bernard; Santin, Gabriele Greedy kernel approximation for sparse surrogate modeling. (English) Zbl 1416.65059 Keiper, Winfried (ed.) et al., Reduced-order modeling (ROM) for simulation and optimization. Powerful algorithms as key enablers for scientific computing. Cham: Springer. 21-45 (2018). MSC: 65D15 65D05 PDF BibTeX XML Cite \textit{B. Haasdonk} and \textit{G. Santin}, in: Reduced-order modeling (ROM) for simulation and optimization. Powerful algorithms as key enablers for scientific computing. Cham: Springer. 21--45 (2018; Zbl 1416.65059) Full Text: DOI