Henderson, Iain Sobolev regularity of Gaussian random fields. (English) Zbl 07784455 J. Funct. Anal. 286, No. 3, Article ID 110241, 59 p. (2024). Reviewer: Şerban Costea (Piteşti) MSC: 60G15 46E35 60G17 PDFBibTeX XMLCite \textit{I. Henderson}, J. Funct. Anal. 286, No. 3, Article ID 110241, 59 p. (2024; Zbl 07784455) Full Text: DOI arXiv
Li, Zhu; Su, Weijie J.; Sejdinovic, Dino Benign overfitting and noisy features. (English) Zbl 07784952 J. Am. Stat. Assoc. 118, No. 544, 2876-2888 (2023). MSC: 62-XX PDFBibTeX XMLCite \textit{Z. Li} et al., J. Am. Stat. Assoc. 118, No. 544, 2876--2888 (2023; Zbl 07784952) Full Text: DOI arXiv OA License
Qian, Tao; Zhang, Ying; Liu, Wanquan; Qu, Wei Adaptive Fourier decomposition-type sparse representations versus the Karhunen-Loève expansion for decomposing stochastic processes. (English) Zbl 07784849 Math. Methods Appl. Sci. 46, No. 13, 14007-14025 (2023). MSC: 62L20 60G99 30B99 60J65 PDFBibTeX XMLCite \textit{T. Qian} et al., Math. Methods Appl. Sci. 46, No. 13, 14007--14025 (2023; Zbl 07784849) Full Text: DOI
Karvonen, Toni Asymptotic bounds for smoothness parameter estimates in Gaussian process interpolation. (English) Zbl 1525.60045 SIAM/ASA J. Uncertain. Quantif. 11, 1225-1257 (2023). MSC: 60G15 62G20 65D05 46E22 PDFBibTeX XMLCite \textit{T. Karvonen}, SIAM/ASA J. Uncertain. Quantif. 11, 1225--1257 (2023; Zbl 1525.60045) Full Text: DOI arXiv
de Hoop, Maarten V.; Kovachki, Nikola B.; Nelsen, Nicholas H.; Stuart, Andrew M. Convergence rates for learning linear operators from noisy data. (English) Zbl 1514.62075 SIAM/ASA J. Uncertain. Quantif. 11, 480-513 (2023). MSC: 62G20 62C10 68T05 47A62 PDFBibTeX XMLCite \textit{M. V. de Hoop} et al., SIAM/ASA J. Uncertain. Quantif. 11, 480--513 (2023; Zbl 1514.62075) Full Text: DOI arXiv
Kovács, Mihály; Lang, Annika; Petersson, Andreas Hilbert-Schmidt regularity of symmetric integral operators on bounded domains with applications to SPDE approximations. (English) Zbl 07685969 Stochastic Anal. Appl. 41, No. 3, 564-590 (2023). Reviewer: Anatoliy Swishchuk (Calgary) MSC: 60H15 60H35 47B10 35B65 46E22 PDFBibTeX XMLCite \textit{M. Kovács} et al., Stochastic Anal. Appl. 41, No. 3, 564--590 (2023; Zbl 07685969) Full Text: DOI arXiv
Karvonen, Toni Small sample spaces for Gaussian processes. (English) Zbl 07666803 Bernoulli 29, No. 2, 875-900 (2023). MSC: 60G15 46E22 68T05 PDFBibTeX XMLCite \textit{T. Karvonen}, Bernoulli 29, No. 2, 875--900 (2023; Zbl 07666803) Full Text: DOI arXiv Link
Alberti, Giovanni S. Non-zero constraints in elliptic PDE with random boundary values and applications to hybrid inverse problems. (English) Zbl 1501.35451 Inverse Probl. 38, No. 12, Article ID 124005, 26 p. (2022). MSC: 35R30 35J57 PDFBibTeX XMLCite \textit{G. S. Alberti}, Inverse Probl. 38, No. 12, Article ID 124005, 26 p. (2022; Zbl 1501.35451) Full Text: DOI arXiv
Wang, Wenjia On the inference of applying Gaussian process modeling to a deterministic function. (English) Zbl 1498.62180 Electron. J. Stat. 15, No. 2, 5014-5066 (2021). MSC: 62M30 60G15 62G08 62G20 PDFBibTeX XMLCite \textit{W. Wang}, Electron. J. Stat. 15, No. 2, 5014--5066 (2021; Zbl 1498.62180) Full Text: DOI arXiv Link
Tuo, Rui; Wang, Wenjia Kriging prediction with isotropic Matérn correlations: robustness and experimental designs. (English) Zbl 07306883 J. Mach. Learn. Res. 21, Paper No. 187, 38 p. (2020). MSC: 62-XX PDFBibTeX XMLCite \textit{R. Tuo} and \textit{W. Wang}, J. Mach. Learn. Res. 21, Paper No. 187, 38 p. (2020; Zbl 07306883) Full Text: arXiv Link
Karvonen, Toni; Wynne, George; Tronarp, Filip; Oates, Chris; Särkkä, Simo Maximum likelihood estimation and uncertainty quantification for Gaussian process approximation of deterministic functions. (English) Zbl 1461.60020 SIAM/ASA J. Uncertain. Quantif. 8, 926-958 (2020). MSC: 60G15 62G20 68T37 65D05 46E22 PDFBibTeX XMLCite \textit{T. Karvonen} et al., SIAM/ASA J. Uncertain. Quantif. 8, 926--958 (2020; Zbl 1461.60020) Full Text: DOI arXiv
Steinwart, Ingo Convergence types and rates in generic Karhunen-Loève expansions with applications to sample path properties. (English) Zbl 1480.60086 Potential Anal. 51, No. 3, 361-395 (2019). MSC: 60G12 60G60 60G17 46E22 PDFBibTeX XMLCite \textit{I. Steinwart}, Potential Anal. 51, No. 3, 361--395 (2019; Zbl 1480.60086) Full Text: DOI arXiv
Kerkyacharian, Gerard; Ogawa, Shigeyoshi; Petrushev, Pencho; Picard, Dominique Regularity of Gaussian processes on Dirichlet spaces. (English) Zbl 1390.58022 Constr. Approx. 47, No. 2, 277-320 (2018). Reviewer: Jacques Franchi (Strasbourg) MSC: 58J65 60G15 60G17 58J35 46E35 60G20 42C15 43A85 PDFBibTeX XMLCite \textit{G. Kerkyacharian} et al., Constr. Approx. 47, No. 2, 277--320 (2018; Zbl 1390.58022) Full Text: DOI arXiv
Owhadi, Houman; Scovel, Clint Separability of reproducing kernel spaces. (English) Zbl 1369.46022 Proc. Am. Math. Soc. 145, No. 5, 2131-2138 (2017). MSC: 46E22 PDFBibTeX XMLCite \textit{H. Owhadi} and \textit{C. Scovel}, Proc. Am. Math. Soc. 145, No. 5, 2131--2138 (2017; Zbl 1369.46022) Full Text: DOI arXiv