Rastogi, Abhishake Nonlinear Tikhonov regularization in Hilbert scales for inverse learning. (English) Zbl 07820041 J. Complexity 82, Article ID 101824, 17 p. (2024). MSC: 62G20 62G08 65J15 65J20 65J22 PDFBibTeX XMLCite \textit{A. Rastogi}, J. Complexity 82, Article ID 101824, 17 p. (2024; Zbl 07820041) Full Text: DOI
Xia, Lu; Massei, Stefano; Hochstenbach, Michiel E.; Koren, Barry On stochastic roundoff errors in gradient descent with low-precision computation. (English) Zbl 07802203 J. Optim. Theory Appl. 200, No. 2, 634-668 (2024). MSC: 62J02 65G50 68T01 PDFBibTeX XMLCite \textit{L. Xia} et al., J. Optim. Theory Appl. 200, No. 2, 634--668 (2024; Zbl 07802203) Full Text: DOI arXiv
Herbig, Hans-Christian; Herden, Daniel; Seaton, Christopher A symmetric function approach to polynomial regression. arXiv:2402.11717 Preprint, arXiv:2402.11717 [math.RA] (2024). MSC: 05E05 62J02 65F05 BibTeX Cite \textit{H.-C. Herbig} et al., ``A symmetric function approach to polynomial regression'', Preprint, arXiv:2402.11717 [math.RA] (2024) Full Text: arXiv OA License
Bach, Francis; Chizat, Lénaïc Gradient descent on infinitely wide neural networks: global convergence and generalization. (English) Zbl 07822598 Beliaev, Dmitry (ed.) et al., International congress of mathematicians 2022, ICM 2022, Helsinki, Finland, virtual, July 6–14, 2022. Volume 7. Sections 15–20. Berlin: European Mathematical Society (EMS). 5398-5419 (2023). MSC: 68T07 90C30 62G08 65K10 PDFBibTeX XMLCite \textit{F. Bach} and \textit{L. Chizat}, in: International congress of mathematicians 2022, ICM 2022, Helsinki, Finland, virtual, July 6--14, 2022. Volume 7. Sections 15--20. Berlin: European Mathematical Society (EMS). 5398--5419 (2023; Zbl 07822598) Full Text: DOI arXiv OA License
Hafezieh, Elham; Tavakoli, Ali; Matinfar, Mashaallah Strategies for disease diagnosis by machine learning techniques. (English) Zbl 07814813 J. Math. Model. 11, No. 3, 441-450 (2023). MSC: 34A34 65L05 PDFBibTeX XMLCite \textit{E. Hafezieh} et al., J. Math. Model. 11, No. 3, 441--450 (2023; Zbl 07814813) Full Text: DOI
Yang, Yueting; Zhang, Xue; Zhou, Guoling; Cao, Mingyuan A three-term conjugate gradient method with a random parameter for large-scale unconstrained optimization and its application in regression model. (English) Zbl 07788917 Taiwanese J. Math. 27, No. 5, 1021-1039 (2023). MSC: 90C30 65K05 PDFBibTeX XMLCite \textit{Y. Yang} et al., Taiwanese J. Math. 27, No. 5, 1021--1039 (2023; Zbl 07788917) Full Text: DOI
Grimm, Wolfgang Michael Covariance-invariant mapping of data points to nonlinear models. (English) Zbl 07781764 Math. Methods Appl. Sci. 46, No. 4, 3597-3613 (2023). MSC: 11B83 40E10 62J05 65D10 PDFBibTeX XMLCite \textit{W. M. Grimm}, Math. Methods Appl. Sci. 46, No. 4, 3597--3613 (2023; Zbl 07781764) Full Text: DOI
Fan, Tiffany; Trask, Nathaniel; D’Elia, Marta; Darve, Eric Probabilistic partition of unity networks for high-dimensional regression problems. (English) Zbl 07773168 Int. J. Numer. Methods Eng. 124, No. 10, 2215-2236 (2023). MSC: 65C20 41A10 35K55 62G08 62H25 81P68 PDFBibTeX XMLCite \textit{T. Fan} et al., Int. J. Numer. Methods Eng. 124, No. 10, 2215--2236 (2023; Zbl 07773168) Full Text: DOI arXiv
Lapucci, Matteo; Levato, Tommaso; Rinaldi, Francesco; Sciandrone, Marco A unifying framework for sparsity-constrained optimization. (English) Zbl 07763160 J. Optim. Theory Appl. 199, No. 2, 663-692 (2023). MSC: 90C30 90C46 65K05 PDFBibTeX XMLCite \textit{M. Lapucci} et al., J. Optim. Theory Appl. 199, No. 2, 663--692 (2023; Zbl 07763160) Full Text: DOI arXiv OA License
Wei, Wei; Shi, Tao; Nie, Song; Chen, Xiaoping On adaptive block coordinate descent methods for ridge regression. (English) Zbl 07761011 Comput. Appl. Math. 42, No. 7, Paper No. 315, 24 p. (2023). MSC: 65K05 90C30 90C52 PDFBibTeX XMLCite \textit{W. Wei} et al., Comput. Appl. Math. 42, No. 7, Paper No. 315, 24 p. (2023; Zbl 07761011) Full Text: DOI
Liu, Pengjie; Shao, Hu; Yuan, Zihang; Wu, Xiaoyu; Zheng, Tianlei A family of three-term conjugate gradient projection methods with a restart procedure and their relaxed-inertial extensions for the constrained nonlinear pseudo-monotone equations with applications. (English) Zbl 07751242 Numer. Algorithms 94, No. 3, 1055-1083 (2023). MSC: 65K05 90C30 90C56 PDFBibTeX XMLCite \textit{P. Liu} et al., Numer. Algorithms 94, No. 3, 1055--1083 (2023; Zbl 07751242) Full Text: DOI
Cicci, Ludovica; Fresca, Stefania; Guo, Mengwu; Manzoni, Andrea; Zunino, Paolo Uncertainty quantification for nonlinear solid mechanics using reduced order models with Gaussian process regression. (English) Zbl 07750303 Comput. Math. Appl. 149, 1-23 (2023). MSC: 65M60 65N30 68T05 68T07 65M99 PDFBibTeX XMLCite \textit{L. Cicci} et al., Comput. Math. Appl. 149, 1--23 (2023; Zbl 07750303) Full Text: DOI arXiv
Rastogi, Abhishake; Mathé, Peter Inverse learning in Hilbert scales. (English) Zbl 07730683 Mach. Learn. 112, No. 7, 2469-2499 (2023). MSC: 68T05 62G20 62G08 65J15 65J20 65J22 PDFBibTeX XMLCite \textit{A. Rastogi} and \textit{P. Mathé}, Mach. Learn. 112, No. 7, 2469--2499 (2023; Zbl 07730683) Full Text: DOI arXiv
You, Yu; Niu, Yi-Shuai A variable metric and Nesterov extrapolated proximal DCA with backtracking for a composite DC program. (English) Zbl 1524.65228 J. Ind. Manag. Optim. 19, No. 10, 7716-7734 (2023). MSC: 65K05 90C26 90C30 PDFBibTeX XMLCite \textit{Y. You} and \textit{Y.-S. Niu}, J. Ind. Manag. Optim. 19, No. 10, 7716--7734 (2023; Zbl 1524.65228) Full Text: DOI arXiv
Ermakov, S. M.; Melas, V. B. Stochastic computational methods and experiment design. (English. Russian original) Zbl 1522.65009 Vestn. St. Petersbg. Univ., Math. 56, No. 2, 135-142 (2023); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 10(68), No. 2, 187-199 (2023). MSC: 65C05 62K05 65-02 PDFBibTeX XMLCite \textit{S. M. Ermakov} and \textit{V. B. Melas}, Vestn. St. Petersbg. Univ., Math. 56, No. 2, 135--142 (2023; Zbl 1522.65009); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 10(68), No. 2, 187--199 (2023) Full Text: DOI
He, Jingyu; Hahn, P. Richard Stochastic tree ensembles for regularized nonlinear regression. (English) Zbl 1514.68251 J. Am. Stat. Assoc. 118, No. 541, 551-570 (2023). MSC: 68T05 62-08 62F15 62J02 65C05 PDFBibTeX XMLCite \textit{J. He} and \textit{P. R. Hahn}, J. Am. Stat. Assoc. 118, No. 541, 551--570 (2023; Zbl 1514.68251) Full Text: DOI arXiv
He, Xiaolong; Choi, Youngsoo; Fries, William D.; Belof, Jonathan L.; Chen, Jiun-Shyan gLaSDI: parametric physics-informed greedy latent space dynamics identification. (English) Zbl 07705908 J. Comput. Phys. 489, Article ID 112267, 32 p. (2023). MSC: 65Mxx 65Nxx 76Mxx PDFBibTeX XMLCite \textit{X. He} et al., J. Comput. Phys. 489, Article ID 112267, 32 p. (2023; Zbl 07705908) Full Text: DOI arXiv
Drzisga, Daniel; Köppl, Tobias; Wohlmuth, Barbara A semi matrix-free twogrid preconditioner for the Helmholtz equation with near optimal shifts. (English) Zbl 1518.35247 J. Sci. Comput. 95, No. 3, Paper No. 82, 25 p. (2023). MSC: 35J05 65N55 65F08 65F50 PDFBibTeX XMLCite \textit{D. Drzisga} et al., J. Sci. Comput. 95, No. 3, Paper No. 82, 25 p. (2023; Zbl 1518.35247) Full Text: DOI arXiv
Cheridito, Patrick; Gersey, Balint Computation of conditional expectations with guarantees. (English) Zbl 07698853 J. Sci. Comput. 95, No. 1, Paper No. 12, 30 p. (2023). MSC: 62J02 65G99 65C05 65C20 68T05 PDFBibTeX XMLCite \textit{P. Cheridito} and \textit{B. Gersey}, J. Sci. Comput. 95, No. 1, Paper No. 12, 30 p. (2023; Zbl 07698853) Full Text: DOI arXiv
Wentz, Jacqueline; Doostan, Alireza Derivative-based SINDy (DSINDy): addressing the challenge of discovering governing equations from noisy data. (English) Zbl 07697909 Comput. Methods Appl. Mech. Eng. 413, Article ID 116096, 39 p. (2023). MSC: 62J07 65D10 34A55 37M10 90C25 15A04 PDFBibTeX XMLCite \textit{J. Wentz} and \textit{A. Doostan}, Comput. Methods Appl. Mech. Eng. 413, Article ID 116096, 39 p. (2023; Zbl 07697909) Full Text: DOI arXiv
Ahmed, Shady E.; San, Omer; Rasheed, Adil; Iliescu, Traian; Veneziani, Alessandro Physics guided machine learning for variational multiscale reduced order modeling. (English) Zbl 07693354 SIAM J. Sci. Comput. 45, No. 3, B283-B313 (2023). MSC: 68T05 62M10 62M20 62M45 65M06 76M30 76F20 PDFBibTeX XMLCite \textit{S. E. Ahmed} et al., SIAM J. Sci. Comput. 45, No. 3, B283--B313 (2023; Zbl 07693354) Full Text: DOI arXiv
Holmes, Mark H. Introduction to scientific computing and data analysis. 2nd edition. (English) Zbl 07687312 Texts in Computational Science and Engineering 13. Cham: Springer (ISBN 978-3-031-22429-4/hbk; 978-3-031-22432-4/pbk; 978-3-031-22430-0/ebook). xvi, 554 p. (2023). MSC: 65-01 00A06 65F15 65Gxx 65Y99 62Jxx 62-01 65D05 65D30 62-07 65L05 65K05 65H05 62H25 PDFBibTeX XMLCite \textit{M. H. Holmes}, Introduction to scientific computing and data analysis. 2nd edition. Cham: Springer (2023; Zbl 07687312) Full Text: DOI
Chen, Hao Data-driven sparse identification of nonlinear dynamical systems using linear multistep methods. (English) Zbl 1515.65318 Calcolo 60, No. 1, Paper No. 11, 26 p. (2023). MSC: 65P99 65L06 62J99 37M10 PDFBibTeX XMLCite \textit{H. Chen}, Calcolo 60, No. 1, Paper No. 11, 26 p. (2023; Zbl 1515.65318) Full Text: DOI
Pidstrigach, Jakiw; Reich, Sebastian Affine-invariant ensemble transform methods for logistic regression. (English) Zbl 07673617 Found. Comput. Math. 23, No. 2, 675-708 (2023). MSC: 62J02 65C05 62F15 PDFBibTeX XMLCite \textit{J. Pidstrigach} and \textit{S. Reich}, Found. Comput. Math. 23, No. 2, 675--708 (2023; Zbl 07673617) Full Text: DOI arXiv
Wang, Xin; Kong, Lingchen; Wang, Liqun Numerical optimization and computation for second-order least squares estimation. (English) Zbl 1524.62314 Pac. J. Optim. 19, No. 2, 315-334 (2023). MSC: 62J02 65K05 90C26 90C30 PDFBibTeX XMLCite \textit{X. Wang} et al., Pac. J. Optim. 19, No. 2, 315--334 (2023; Zbl 1524.62314) Full Text: Link
Glasner, Karl Data-driven learning of differential equations: combining data and model uncertainty. (English) Zbl 1524.62310 Comput. Appl. Math. 42, No. 1, Paper No. 36, 17 p. (2023). MSC: 62J02 65M32 65L09 PDFBibTeX XMLCite \textit{K. Glasner}, Comput. Appl. Math. 42, No. 1, Paper No. 36, 17 p. (2023; Zbl 1524.62310) Full Text: DOI
Navarro-García, Manuel; Guerrero, Vanesa; Durban, María On constrained smoothing and out-of-range prediction using \(P\)-splines: a conic optimization approach. (English) Zbl 1511.62145 Appl. Math. Comput. 441, Article ID 127679, 20 p. (2023). MSC: 62J02 62G05 62R07 65D07 90C20 90C90 PDFBibTeX XMLCite \textit{M. Navarro-García} et al., Appl. Math. Comput. 441, Article ID 127679, 20 p. (2023; Zbl 1511.62145) Full Text: DOI
Jeong, Juyoung; Jung, Yoon Mo; Kim, Soo Hyun; Yun, Sangwoon Trend filtering by adaptive piecewise polynomials. (English) Zbl 07609363 Commun. Nonlinear Sci. Numer. Simul. 116, Article ID 106866, 13 p. (2023). MSC: 62Gxx 62Jxx 65Dxx PDFBibTeX XMLCite \textit{J. Jeong} et al., Commun. Nonlinear Sci. Numer. Simul. 116, Article ID 106866, 13 p. (2023; Zbl 07609363) Full Text: DOI
Dimitrova, Dimitrina S.; Kaishev, Vladimir K.; Lattuada, Andrea; Verrall, Richard J. Geometrically designed variable knot splines in generalized (non-)linear models. (English) Zbl 1510.62290 Appl. Math. Comput. 436, Article ID 127493, 21 p. (2023). MSC: 62J02 65D07 PDFBibTeX XMLCite \textit{D. S. Dimitrova} et al., Appl. Math. Comput. 436, Article ID 127493, 21 p. (2023; Zbl 1510.62290) Full Text: DOI
Bourdais, Théo; Batlle, Pau; Yang, Xianjin; Baptista, Ricardo; Rouquette, Nicolas; Owhadi, Houman Computational Hypergraph Discovery, a Gaussian Process framework for connecting the dots. arXiv:2311.17007 Preprint, arXiv:2311.17007 [cs.LG] (2023). MSC: 62A09 62H22 65S05 90C35 94C15 46E22 62J02 15A83 62D20 68R10 BibTeX Cite \textit{T. Bourdais} et al., ``Computational Hypergraph Discovery, a Gaussian Process framework for connecting the dots'', Preprint, arXiv:2311.17007 [cs.LG] (2023) Full Text: arXiv OA License
Trunschke, Philipp; Nouy, Anthony; Eigel, Martin Weighted sparsity and sparse tensor networks for least squares approximation. arXiv:2310.08942 Preprint, arXiv:2310.08942 [math.NA] (2023). MSC: 15A69 41A30 62J02 65Y20 68Q25 BibTeX Cite \textit{P. Trunschke} et al., ``Weighted sparsity and sparse tensor networks for least squares approximation'', Preprint, arXiv:2310.08942 [math.NA] (2023) Full Text: arXiv OA License
Grafarend, Erik W.; Zwanzig, Silvelyn; Awange, Joseph L. Applications of linear and nonlinear models. Fixed effects, random effects, and total least squares. 2nd edition. (English) Zbl 07669444 Springer Geophysics. Cham: Springer (ISBN 978-3-030-94597-8/hbk; 978-3-030-94600-5/pbk; 978-3-030-94598-5/ebook). xxv, 1113 p. (2022). MSC: 62-02 15Axx 62Fxx 62Jxx 65Fxx 65Hxx 65Kxx PDFBibTeX XMLCite \textit{E. W. Grafarend} et al., Applications of linear and nonlinear models. Fixed effects, random effects, and total least squares. 2nd edition. Cham: Springer (2022; Zbl 07669444) Full Text: DOI
Jin, Pengzhan; Meng, Shuai; Lu, Lu MIONet: learning multiple-input operators via tensor product. (English) Zbl 07617460 SIAM J. Sci. Comput. 44, No. 6, A3490-A3514 (2022). MSC: 47-08 47H99 65D15 68Q32 68T07 PDFBibTeX XMLCite \textit{P. Jin} et al., SIAM J. Sci. Comput. 44, No. 6, A3490--A3514 (2022; Zbl 07617460) Full Text: DOI arXiv
Poborchaya, N. E.; Lobov, E. M. Analysis of the influence of the Lagrange multiplier on the operation of the algorithm for estimating the signal parameters under a priori uncertainty. (English) Zbl 1515.65133 Vestn. Yuzhno-Ural. Gos. Univ., Ser. Mat. Model. Program. 15, No. 2, 118-124 (2022). MSC: 65J15 65J20 62J05 PDFBibTeX XMLCite \textit{N. E. Poborchaya} and \textit{E. M. Lobov}, Vestn. Yuzhno-Ural. Gos. Univ., Ser. Mat. Model. Program. 15, No. 2, 118--124 (2022; Zbl 1515.65133) Full Text: DOI MNR
Shen, Jian; Chen, Jein-Shan; Qi, Hou-Duo; Xiu, Naihua A penalized method of alternating projections for weighted low-rank Hankel matrix optimization. (English) Zbl 07596978 Math. Program. Comput. 14, No. 3, 417-450 (2022). MSC: 47B35 62M10 65F55 90C26 90C30 PDFBibTeX XMLCite \textit{J. Shen} et al., Math. Program. Comput. 14, No. 3, 417--450 (2022; Zbl 07596978) Full Text: DOI
Qian, Elizabeth; Farcaş, Ionuţ-Gabriel; Willcox, Karen Reduced operator inference for nonlinear partial differential equations. (English) Zbl 1509.65101 SIAM J. Sci. Comput. 44, No. 4, A1934-A1959 (2022). Reviewer: Hussein Fakih (Nabatieh) MSC: 65M60 68T05 65Z05 62J15 62J05 62J07 35Q30 PDFBibTeX XMLCite \textit{E. Qian} et al., SIAM J. Sci. Comput. 44, No. 4, A1934--A1959 (2022; Zbl 1509.65101) Full Text: DOI arXiv
Mir, Youness; Dubeau, François A piecewise model for two-phase growth phenomena. (English) Zbl 07553301 Commun. Stat., Simulation Comput. 51, No. 1, 99-115 (2022). MSC: 62-XX 26A48 65D10 62J02 PDFBibTeX XMLCite \textit{Y. Mir} and \textit{F. Dubeau}, Commun. Stat., Simulation Comput. 51, No. 1, 99--115 (2022; Zbl 07553301) Full Text: DOI
Ehre, Max; Papaioannou, Iason; Sudret, Bruno; Straub, Daniel Sequential active learning of low-dimensional model representations for reliability analysis. (English) Zbl 1493.62496 SIAM J. Sci. Comput. 44, No. 3, B558-B584 (2022). MSC: 62L99 62P30 62J02 65C05 PDFBibTeX XMLCite \textit{M. Ehre} et al., SIAM J. Sci. Comput. 44, No. 3, B558--B584 (2022; Zbl 1493.62496) Full Text: DOI arXiv
Lu, Lu; Meng, Xuhui; Cai, Shengze; Mao, Zhiping; Goswami, Somdatta; Zhang, Zhongqiang; Karniadakis, George Em A comprehensive and fair comparison of two neural operators (with practical extensions) based on FAIR data. (English) Zbl 1507.65050 Comput. Methods Appl. Mech. Eng. 393, Article ID 114778, 35 p. (2022). MSC: 65D15 68T07 PDFBibTeX XMLCite \textit{L. Lu} et al., Comput. Methods Appl. Mech. Eng. 393, Article ID 114778, 35 p. (2022; Zbl 1507.65050) Full Text: DOI arXiv
Ovsyannikov, Dmitriĭ Aleksandrovich; Vladimirova, Lyudmila Vasil’evna; Rubtsova, Irina Deonisovna; Rubanik, Alekseĭ Vital’evich; Ponomarev, Vladimir Andreevich Modified genetic algorithm of global extremum search in combination with directional methods. (Russian. English summary) Zbl 1485.65006 Izv. Irkutsk. Gos. Univ., Ser. Mat. 39, 17-33 (2022). MSC: 65C05 65C20 PDFBibTeX XMLCite \textit{D. A. Ovsyannikov} et al., Izv. Irkutsk. Gos. Univ., Ser. Mat. 39, 17--33 (2022; Zbl 1485.65006) Full Text: DOI Link
Huang, Juntao; Zhou, Yizhou; Yong, Wen-An Data-driven discovery of multiscale chemical reactions governed by the law of mass action. (English) Zbl 07516826 J. Comput. Phys. 448, Article ID 110743, 15 p. (2022). MSC: 68Txx 65Lxx 76Mxx PDFBibTeX XMLCite \textit{J. Huang} et al., J. Comput. Phys. 448, Article ID 110743, 15 p. (2022; Zbl 07516826) Full Text: DOI arXiv
Curtis, Frank E.; Dai, Yutong; Robinson, Daniel P. A subspace acceleration method for minimization involving a group sparsity-inducing regularizer. (English) Zbl 1491.90157 SIAM J. Optim. 32, No. 2, 545-572 (2022). MSC: 90C30 90C25 65K05 65K10 65Y20 68Q25 90C60 PDFBibTeX XMLCite \textit{F. E. Curtis} et al., SIAM J. Optim. 32, No. 2, 545--572 (2022; Zbl 1491.90157) Full Text: DOI arXiv
Geng, Nana; Alkhathlan, Ali; Shao, Xiuying An empirical analysis of the dynamic nonlinear relationship between inbound tourism and economic development using panel threshold regression model. (English) Zbl 07507573 Fractals 30, No. 2, Article ID 2240089, 13 p. (2022). MSC: 65Txx 45Dxx 65Rxx PDFBibTeX XMLCite \textit{N. Geng} et al., Fractals 30, No. 2, Article ID 2240089, 13 p. (2022; Zbl 07507573) Full Text: DOI
Winkler, Joab R.; Mitrouli, Marilena; Koukouvinos, Christos The application of regularisation to variable selection in statistical modelling. (English) Zbl 1524.62342 J. Comput. Appl. Math. 404, Article ID 113884, 20 p. (2022). MSC: 62J07 62J05 65F22 62H12 62J02 PDFBibTeX XMLCite \textit{J. R. Winkler} et al., J. Comput. Appl. Math. 404, Article ID 113884, 20 p. (2022; Zbl 1524.62342) Full Text: DOI
O’Leary-Roseberry, Thomas; Villa, Umberto; Chen, Peng; Ghattas, Omar Derivative-informed projected neural networks for high-dimensional parametric maps governed by PDEs. (English) Zbl 1507.62299 Comput. Methods Appl. Mech. Eng. 388, Article ID 114199, 24 p. (2022); corrigendum ibid. 403, Part A, Article ID 115673, 1 p. (2022). MSC: 62M45 62J02 65M99 68T07 PDFBibTeX XMLCite \textit{T. O'Leary-Roseberry} et al., Comput. Methods Appl. Mech. Eng. 388, Article ID 114199, 24 p. (2022; Zbl 1507.62299) Full Text: DOI arXiv
Trunschke, Philipp Convergence bounds for local least squares approximation. arXiv:2208.10954 Preprint, arXiv:2208.10954 [math.NA] (2022). MSC: 15A69 41A30 62J02 65Y20 68Q25 BibTeX Cite \textit{P. Trunschke}, ``Convergence bounds for local least squares approximation'', Preprint, arXiv:2208.10954 [math.NA] (2022) Full Text: arXiv OA License
Korondi, Péter Zénó; Marchi, Mariapia; Parussini, Lucia; Poloni, Carlo Multi-fidelity design optimisation strategy under uncertainty with limited computational budget. (English) Zbl 1486.90190 Optim. Eng. 22, No. 2, 1039-1064 (2021). MSC: 90C30 65K05 90C59 90C29 90C90 PDFBibTeX XMLCite \textit{P. Z. Korondi} et al., Optim. Eng. 22, No. 2, 1039--1064 (2021; Zbl 1486.90190) Full Text: DOI
Üstündağ Şiray, Gülesen; Toker, Selma; Özbay, Nimet Defining a two-parameter estimator: a mathematical programming evidence. (English) Zbl 07497050 J. Stat. Comput. Simulation 91, No. 11, 2133-2152 (2021). MSC: 62J05 62J07 65K05 90C30 62-XX PDFBibTeX XMLCite \textit{G. Üstündağ Şiray} et al., J. Stat. Comput. Simulation 91, No. 11, 2133--2152 (2021; Zbl 07497050) Full Text: DOI
Maulik, Romit; Botsas, Themistoklis; Ramachandra, Nesar; Mason, Lachlan R.; Pan, Indranil Latent-space time evolution of non-intrusive reduced-order models using Gaussian process emulation. (English) Zbl 07493969 Physica D 416, Article ID 132797, 17 p. (2021). MSC: 65P99 37M99 68T07 76B15 PDFBibTeX XMLCite \textit{R. Maulik} et al., Physica D 416, Article ID 132797, 17 p. (2021; Zbl 07493969) Full Text: DOI arXiv
Bartoň, Stanislav Dynamics of an artificial slope. (English) Zbl 1488.65030 Chleboun, J. (ed.) et al., Programs and algorithms of numerical mathematics 20. Proceedings of the 20th seminar (PANM), Hejnice, Czech Republic, June 21–26, 2020. Prague: Czech Academy of Sciences, Institute of Mathematics. 9-20 (2021). Reviewer: Michal Krizek MSC: 65D17 62J02 PDFBibTeX XMLCite \textit{S. Bartoň}, in: Programs and algorithms of numerical mathematics 20. Proceedings of the 20th seminar (PANM), Hejnice, Czech Republic, June 21--26, 2020. Prague: Czech Academy of Sciences, Institute of Mathematics. 9--20 (2021; Zbl 1488.65030) Full Text: DOI
Jukić, Dragan; Marošević, Tomislav An existence level for the residual sum of squares of the power-law regression with an unknown location parameter. (English) Zbl 1490.65019 Math. Slovaca 71, No. 4, 1019-1026 (2021). MSC: 65D10 65C20 62J02 PDFBibTeX XMLCite \textit{D. Jukić} and \textit{T. Marošević}, Math. Slovaca 71, No. 4, 1019--1026 (2021; Zbl 1490.65019) Full Text: DOI
Sarna, Neeraj; Benner, Peter Data-driven model order reduction for problems with parameter-dependent jump-discontinuities. (English) Zbl 1507.65210 Comput. Methods Appl. Mech. Eng. 387, Article ID 114168, 30 p. (2021). MSC: 65M99 60G15 62J02 PDFBibTeX XMLCite \textit{N. Sarna} and \textit{P. Benner}, Comput. Methods Appl. Mech. Eng. 387, Article ID 114168, 30 p. (2021; Zbl 1507.65210) Full Text: DOI arXiv
Kämmerer, Lutz; Ullrich, Tino; Volkmer, Toni Worst-case recovery guarantees for least squares approximation using random samples. (English) Zbl 1484.41004 Constr. Approx. 54, No. 2, 295-352 (2021). Reviewer: Alexander Ulanovskii (Stavanger) MSC: 41A10 41A25 41A55 41A60 41A63 42A10 62J02 65D32 68W40 94A20 PDFBibTeX XMLCite \textit{L. Kämmerer} et al., Constr. Approx. 54, No. 2, 295--352 (2021; Zbl 1484.41004) Full Text: DOI arXiv
Flaschel, Moritz; Kumar, Siddhant; De Lorenzis, Laura Unsupervised discovery of interpretable hyperelastic constitutive laws. (English) Zbl 1506.74051 Comput. Methods Appl. Mech. Eng. 381, Article ID 113852, 19 p. (2021). MSC: 74B20 65N21 68T05 74A20 PDFBibTeX XMLCite \textit{M. Flaschel} et al., Comput. Methods Appl. Mech. Eng. 381, Article ID 113852, 19 p. (2021; Zbl 1506.74051) Full Text: DOI arXiv
Keshtegar, Behrooz; Ben Seghier, Mohamed El Amine; Zio, Enrico; Correia, José A. F. O.; Zhu, Shun-Peng; Trung, Nguyen-Thoi Novel efficient method for structural reliability analysis using hybrid nonlinear conjugate map-based support vector regression. (English) Zbl 1506.65013 Comput. Methods Appl. Mech. Eng. 381, Article ID 113818, 18 p. (2021). MSC: 65C20 62J02 62N05 PDFBibTeX XMLCite \textit{B. Keshtegar} et al., Comput. Methods Appl. Mech. Eng. 381, Article ID 113818, 18 p. (2021; Zbl 1506.65013) Full Text: DOI
Messenger, Daniel A.; Bortz, David M. Weak SINDy: Galerkin-based data-driven model selection. (English) Zbl 1512.65163 Multiscale Model. Simul. 19, No. 3, 1474-1497 (2021). MSC: 65L50 37M10 62J05 65L09 65P99 PDFBibTeX XMLCite \textit{D. A. Messenger} and \textit{D. M. Bortz}, Multiscale Model. Simul. 19, No. 3, 1474--1497 (2021; Zbl 1512.65163) Full Text: DOI arXiv
Diveev, Askhat; Shmalko, Elizaveta Machine learning control by symbolic regression. (English) Zbl 1475.68005 Cham: Springer (ISBN 978-3-030-83212-4/hbk; 978-3-030-83215-5/pbk; 978-3-030-83213-1/ebook). ix, 155 p. (2021). MSC: 68-02 62J02 65G99 68T05 68T20 68V99 68W30 93C40 PDFBibTeX XMLCite \textit{A. Diveev} and \textit{E. Shmalko}, Machine learning control by symbolic regression. Cham: Springer (2021; Zbl 1475.68005) Full Text: DOI
Lux, Thomas C. H.; Watson, Layne T.; Chang, Tyler H.; Hong, Yili; Cameron, Kirk Interpolation of sparse high-dimensional data. (English) Zbl 1471.62407 Numer. Algorithms 88, No. 1, 281-313 (2021). MSC: 62J02 62H12 65D05 PDFBibTeX XMLCite \textit{T. C. H. Lux} et al., Numer. Algorithms 88, No. 1, 281--313 (2021; Zbl 1471.62407) Full Text: DOI
Qin, Zhenzhi; Zhang, Liping A new penalized least absolute deviation model for high dimensional sparse linear regression and an efficient sequential linear programming algorithm. (English) Zbl 1466.65043 Pac. J. Optim. 17, No. 2, 227-250 (2021). MSC: 65K10 49M29 90C30 90C26 PDFBibTeX XMLCite \textit{Z. Qin} and \textit{L. Zhang}, Pac. J. Optim. 17, No. 2, 227--250 (2021; Zbl 1466.65043) Full Text: Link
Tan, Qianwen; Ghosal, Subhashis Bayesian analysis of mixed-effect regression models driven by ordinary differential equations. (English) Zbl 1469.62297 Sankhyā, Ser. B 83, No. 1, 3-29 (2021). MSC: 62J02 62G08 62G20 65D07 62P10 PDFBibTeX XMLCite \textit{Q. Tan} and \textit{S. Ghosal}, Sankhyā, Ser. B 83, No. 1, 3--29 (2021; Zbl 1469.62297) Full Text: DOI
Otto, Sven Unit root testing with slowly varying trends. (English) Zbl 1468.62344 J. Time Ser. Anal. 42, No. 1, 85-106 (2021). MSC: 62M10 62M07 65C05 PDFBibTeX XMLCite \textit{S. Otto}, J. Time Ser. Anal. 42, No. 1, 85--106 (2021; Zbl 1468.62344) Full Text: DOI arXiv
Du, Yu; Lin, Xiaodong; Pham, Minh; Ruszczyński, Andrzej Selective linearization for multi-block statistical learning. (English) Zbl 1487.65064 Eur. J. Oper. Res. 293, No. 1, 219-228 (2021). MSC: 65K05 90C25 90C30 68T05 PDFBibTeX XMLCite \textit{Y. Du} et al., Eur. J. Oper. Res. 293, No. 1, 219--228 (2021; Zbl 1487.65064) Full Text: DOI
Zhang, Yongli; Rolling, Craig; Yang, Yuhong Estimating and forecasting dynamic correlation matrices: a nonlinear common factor approach. (English) Zbl 1464.62301 J. Multivariate Anal. 183, Article ID 104710, 14 p. (2021). MSC: 62H12 62F12 62M10 62P20 65D07 PDFBibTeX XMLCite \textit{Y. Zhang} et al., J. Multivariate Anal. 183, Article ID 104710, 14 p. (2021; Zbl 1464.62301) Full Text: DOI
Cortiella, Alexandre; Park, Kwang-Chun; Doostan, Alireza Sparse identification of nonlinear dynamical systems via reweighted \(\ell_1\)-regularized least squares. (English) Zbl 1506.37104 Comput. Methods Appl. Mech. Eng. 376, Article ID 113620, 31 p. (2021). MSC: 37M10 62J07 65L09 70L05 PDFBibTeX XMLCite \textit{A. Cortiella} et al., Comput. Methods Appl. Mech. Eng. 376, Article ID 113620, 31 p. (2021; Zbl 1506.37104) Full Text: DOI arXiv
Verheul, Nick; Crommelin, Daan Stochastic parametrization with VARX processes. (English) Zbl 1462.62556 Commun. Appl. Math. Comput. Sci. 16, No. 1, 33-57 (2021). MSC: 62M10 62F30 62J10 60G15 60H10 65C20 70K70 PDFBibTeX XMLCite \textit{N. Verheul} and \textit{D. Crommelin}, Commun. Appl. Math. Comput. Sci. 16, No. 1, 33--57 (2021; Zbl 1462.62556) Full Text: DOI arXiv
Maddison, Chris J.; Paulin, Daniel; Teh, Yee Whye; Doucet, Arnaud Dual space preconditioning for gradient descent. (English) Zbl 1462.90091 SIAM J. Optim. 31, No. 1, 991-1016 (2021). MSC: 90C25 65K05 68Q25 49M29 PDFBibTeX XMLCite \textit{C. J. Maddison} et al., SIAM J. Optim. 31, No. 1, 991--1016 (2021; Zbl 1462.90091) Full Text: DOI arXiv
Trunschke, Philipp Convergence bounds for nonlinear least squares and applications to tensor recovery. arXiv:2108.05237 Preprint, arXiv:2108.05237 [math.NA] (2021). MSC: 15A69 41A30 62J02 65Y20 68Q25 BibTeX Cite \textit{P. Trunschke}, ``Convergence bounds for nonlinear least squares and applications to tensor recovery'', Preprint, arXiv:2108.05237 [math.NA] (2021) Full Text: arXiv OA License
Götte, Michael; Schneider, Reinhold; Trunschke, Philipp A block-sparse Tensor Train Format for sample-efficient high-dimensional Polynomial Regression. arXiv:2104.14255 Preprint, arXiv:2104.14255 [math.NA] (2021). MSC: 15A69 41A30 62J02 65Y20 BibTeX Cite \textit{M. Götte} et al., ``A block-sparse Tensor Train Format for sample-efficient high-dimensional Polynomial Regression'', Preprint, arXiv:2104.14255 [math.NA] (2021) Full Text: arXiv OA License
Song, Fengli; Chen, Yurong; Lai, Peng Conditional distance correlation screening for sparse ultrahigh-dimensional models. (English) Zbl 1481.62036 Appl. Math. Modelling 81, 232-252 (2020). MSC: 62J02 62F07 65D07 PDFBibTeX XMLCite \textit{F. Song} et al., Appl. Math. Modelling 81, 232--252 (2020; Zbl 1481.62036) Full Text: DOI
Livingston, Glen jun.; Nur, Darfiana Bayesian inference of smooth transition autoregressive (STAR)\((k)\)-GARCH\((l, m)\) models. (English) Zbl 1461.62156 Stat. Pap. 61, No. 6, 2449-2482 (2020). MSC: 62M10 62-08 65C40 PDFBibTeX XMLCite \textit{G. Livingston jun.} and \textit{D. Nur}, Stat. Pap. 61, No. 6, 2449--2482 (2020; Zbl 1461.62156) Full Text: DOI
Brás, C. P.; Custódio, A. L. On the use of polynomial models in multiobjective directional direct search. (English) Zbl 1466.90095 Comput. Optim. Appl. 77, No. 3, 897-918 (2020). MSC: 90C29 90C56 65D05 90C30 PDFBibTeX XMLCite \textit{C. P. Brás} and \textit{A. L. Custódio}, Comput. Optim. Appl. 77, No. 3, 897--918 (2020; Zbl 1466.90095) Full Text: DOI Link
Giovanis, D. G.; Shields, M. D. Data-driven surrogates for high dimensional models using Gaussian process regression on the Grassmann manifold. (English) Zbl 1506.62549 Comput. Methods Appl. Mech. Eng. 370, Article ID 113269, 26 p. (2020). MSC: 62R30 60H10 62H30 65C20 PDFBibTeX XMLCite \textit{D. G. Giovanis} and \textit{M. D. Shields}, Comput. Methods Appl. Mech. Eng. 370, Article ID 113269, 26 p. (2020; Zbl 1506.62549) Full Text: DOI arXiv
Molybog, Igor; Madani, Ramtin; Lavaei, Javad Conic optimization for quadratic regression under sparse noise. (English) Zbl 1527.62048 J. Mach. Learn. Res. 21, Paper No. 195, 36 p. (2020). MSC: 62J02 68T05 65K05 PDFBibTeX XMLCite \textit{I. Molybog} et al., J. Mach. Learn. Res. 21, Paper No. 195, 36 p. (2020; Zbl 1527.62048) Full Text: Link
Chen, Man-Hua; Tong, Xingwei Varying coefficient transformation cure models for failure time data. (English) Zbl 1458.62214 Lifetime Data Anal. 26, No. 3, 518-544 (2020). MSC: 62N01 62J02 62J12 62P10 65D07 PDFBibTeX XMLCite \textit{M.-H. Chen} and \textit{X. Tong}, Lifetime Data Anal. 26, No. 3, 518--544 (2020; Zbl 1458.62214) Full Text: DOI
Hounmenou, Castro Gbêmêmali; Tohoun, Roméo Jésukpégo; Gneyou, Kossi Essona; Glèlè Kakaï, Romain Empirical determination of optimal configuration for characteristics of a multilayer perceptron neural network in nonlinear regression. (English. French summary) Zbl 1457.62289 Afr. Stat. 15, No. 3, 2413-2429 (2020). MSC: 62M45 62R07 62J02 65C05 68T05 PDFBibTeX XMLCite \textit{C. G. Hounmenou} et al., Afr. Stat. 15, No. 3, 2413--2429 (2020; Zbl 1457.62289) Full Text: Euclid
Fouskakis, D.; Petrakos, G.; Rotous, I. A Bayesian longitudinal model for quantifying students’ preferences regarding teaching quality indicators. (English) Zbl 1452.62974 Metron 78, No. 2, 255-270 (2020). MSC: 62P25 62J02 62H11 65C05 PDFBibTeX XMLCite \textit{D. Fouskakis} et al., Metron 78, No. 2, 255--270 (2020; Zbl 1452.62974) Full Text: DOI
Bretó, Carles; Ionides, Edward L.; King, Aaron A. Panel data analysis via mechanistic models. (English) Zbl 1441.62226 J. Am. Stat. Assoc. 115, No. 531, 1178-1188 (2020). MSC: 62M10 65N75 62M20 62P10 PDFBibTeX XMLCite \textit{C. Bretó} et al., J. Am. Stat. Assoc. 115, No. 531, 1178--1188 (2020; Zbl 1441.62226) Full Text: DOI arXiv Link
Wang, Qianqian; Ma, Yanyuan; Yang, Guangren Locally efficient estimation in generalized partially linear model with measurement error in nonlinear function. (English) Zbl 1447.62081 Test 29, No. 2, 553-572 (2020). MSC: 62J02 62J12 62G08 65D07 62P10 PDFBibTeX XMLCite \textit{Q. Wang} et al., Test 29, No. 2, 553--572 (2020; Zbl 1447.62081) Full Text: DOI
Rastogi, Abhishake; Blanchard, Gilles; Mathé, Peter Convergence analysis of Tikhonov regularization for non-linear statistical inverse problems. (English) Zbl 1473.65065 Electron. J. Stat. 14, No. 2, 2798-2841 (2020). MSC: 65J20 62G08 62G20 65J15 65Hxx 65J22 PDFBibTeX XMLCite \textit{A. Rastogi} et al., Electron. J. Stat. 14, No. 2, 2798--2841 (2020; Zbl 1473.65065) Full Text: DOI arXiv Euclid
Dixit, Avinash; Sahu, D. R.; Singh, Amit Kumar; Som, T. Application of a new accelerated algorithm to regression problems. (English) Zbl 1436.65069 Soft Comput. 24, No. 2, 1539-1552 (2020). MSC: 65J15 47J25 47H10 62J99 PDFBibTeX XMLCite \textit{A. Dixit} et al., Soft Comput. 24, No. 2, 1539--1552 (2020; Zbl 1436.65069) Full Text: DOI
Saulo, Helton; Vila, Roberto; Vilca, Filidor; Martínez, José L. On asymmetric regression models with allowance for temporal dependence. (English) Zbl 1443.62287 J. Stat. Theory Pract. 14, No. 3, Paper No. 40, 23 p. (2020). MSC: 62M10 62J02 62E15 65C05 62P12 PDFBibTeX XMLCite \textit{H. Saulo} et al., J. Stat. Theory Pract. 14, No. 3, Paper No. 40, 23 p. (2020; Zbl 1443.62287) Full Text: DOI
Jurečková, Jana; Picek, Jan; Schindler, Martin Empirical regression quantile processes. (English) Zbl 1524.62311 Appl. Math., Praha 65, No. 3, 257-269 (2020). MSC: 62J02 62G30 90C05 65K05 49M29 PDFBibTeX XMLCite \textit{J. Jurečková} et al., Appl. Math., Praha 65, No. 3, 257--269 (2020; Zbl 1524.62311) Full Text: DOI
Rastogi, Abhishake Tikhonov regularization with oversmoothing penalty for nonlinear statistical inverse problems. (English) Zbl 1442.62104 Commun. Pure Appl. Anal. 19, No. 8, 4111-4126 (2020). MSC: 62G20 62G08 62C20 46E22 65J15 65J20 65J22 PDFBibTeX XMLCite \textit{A. Rastogi}, Commun. Pure Appl. Anal. 19, No. 8, 4111--4126 (2020; Zbl 1442.62104) Full Text: DOI arXiv
Bayer, Christian; Belomestny, Denis; Redmann, Martin; Riedel, Sebastian; Schoenmakers, John Solving linear parabolic rough partial differential equations. (English) Zbl 1442.65303 J. Math. Anal. Appl. 490, No. 1, Article ID 124236, 44 p. (2020). MSC: 65M75 65C30 35R60 PDFBibTeX XMLCite \textit{C. Bayer} et al., J. Math. Anal. Appl. 490, No. 1, Article ID 124236, 44 p. (2020; Zbl 1442.65303) Full Text: DOI arXiv
Wang, Guochang; Zhang, Baoxue; Liao, Wenhui; Xie, Baojian Estimation of functional regression model via functional dimension reduction. (English) Zbl 1440.62406 J. Comput. Appl. Math. 379, Article ID 112948, 18 p. (2020). MSC: 62R10 62J02 65D07 PDFBibTeX XMLCite \textit{G. Wang} et al., J. Comput. Appl. Math. 379, Article ID 112948, 18 p. (2020; Zbl 1440.62406) Full Text: DOI
Kast, Mariella; Guo, Mengwu; Hesthaven, Jan S. A non-intrusive multifidelity method for the reduced order modeling of nonlinear problems. (English) Zbl 1442.65094 Comput. Methods Appl. Mech. Eng. 364, Article ID 112947, 28 p. (2020). MSC: 65H10 68T05 PDFBibTeX XMLCite \textit{M. Kast} et al., Comput. Methods Appl. Mech. Eng. 364, Article ID 112947, 28 p. (2020; Zbl 1442.65094) Full Text: DOI
Liu, Zhe; Yang, Ying Least absolute deviations estimation for uncertain regression with imprecise observations. (English) Zbl 1443.62195 Fuzzy Optim. Decis. Mak. 19, No. 1, 33-52 (2020). MSC: 62J02 65K05 90C05 65D10 41A50 PDFBibTeX XMLCite \textit{Z. Liu} and \textit{Y. Yang}, Fuzzy Optim. Decis. Mak. 19, No. 1, 33--52 (2020; Zbl 1443.62195) Full Text: DOI arXiv
Fung, Samy Wu; Tyrväinen, Sanna; Ruthotto, Lars; Haber, Eldad ADMM-softmax: an ADMM approach for multinomial logistic regression. (English) Zbl 07192774 ETNA, Electron. Trans. Numer. Anal. 52, 214-229 (2020). MSC: 65J22 90C25 49M27 PDFBibTeX XMLCite \textit{S. W. Fung} et al., ETNA, Electron. Trans. Numer. Anal. 52, 214--229 (2020; Zbl 07192774) Full Text: DOI arXiv Link
Wu, Yan-ke; Hu, Ya-nan; Zhou, Jian; Tian, Mao-zai Simultaneous estimation of multiple conditional regression quantiles. (English) Zbl 1444.62056 Acta Math. Appl. Sin., Engl. Ser. 36, No. 2, 448-457 (2020). Reviewer: Frank Werner (Würzburg) MSC: 62G08 62G10 62J02 62P10 65D07 PDFBibTeX XMLCite \textit{Y.-k. Wu} et al., Acta Math. Appl. Sin., Engl. Ser. 36, No. 2, 448--457 (2020; Zbl 1444.62056) Full Text: DOI
Zhang, Ning; Wu, Jia; Zhang, Liwei A linearly convergent majorized ADMM with indefinite proximal terms for convex composite programming and its applications. (English) Zbl 1441.90123 Math. Comput. 89, No. 324, 1867-1894 (2020). MSC: 90C25 90C30 65K05 62J12 PDFBibTeX XMLCite \textit{N. Zhang} et al., Math. Comput. 89, No. 324, 1867--1894 (2020; Zbl 1441.90123) Full Text: DOI arXiv
Hesamian, Gholamreza; Akbari, Mohammad Ghasem Fuzzy spline univariate regression with exact predictors and fuzzy responses. (English) Zbl 1435.62295 J. Comput. Appl. Math. 375, Article ID 112803, 13 p. (2020). MSC: 62J86 62J02 65D07 PDFBibTeX XMLCite \textit{G. Hesamian} and \textit{M. G. Akbari}, J. Comput. Appl. Math. 375, Article ID 112803, 13 p. (2020; Zbl 1435.62295) Full Text: DOI
Jukić, Dragan A necessary and sufficient criterion for the existence of the global minima of a continuous lower bounded function on a noncompact set. (English) Zbl 1465.90074 J. Comput. Appl. Math. 375, Article ID 112791, 7 p. (2020). Reviewer: Karel Zimmermann (Praha) MSC: 90C26 65K10 62J02 PDFBibTeX XMLCite \textit{D. Jukić}, J. Comput. Appl. Math. 375, Article ID 112791, 7 p. (2020; Zbl 1465.90074) Full Text: DOI
Abraham, Christophe; Grollemund, Paul-Marie Posterior concentration for a misspecified Bayesian regression model with functional covariates. (English) Zbl 1435.62448 J. Stat. Plann. Inference 208, 58-65 (2020). MSC: 62R10 62J02 65D07 PDFBibTeX XMLCite \textit{C. Abraham} and \textit{P.-M. Grollemund}, J. Stat. Plann. Inference 208, 58--65 (2020; Zbl 1435.62448) Full Text: DOI
Wang, Li; Wang, Guannan; Lai, Ming-Jun; Gao, Lei Efficient estimation of partially linear models for data on complicated domains by bivariate penalized splines over triangulations. (English) Zbl 1444.62054 Stat. Sin. 30, No. 1, 347-369 (2020). MSC: 62G08 62J02 62H11 65D07 PDFBibTeX XMLCite \textit{L. Wang} et al., Stat. Sin. 30, No. 1, 347--369 (2020; Zbl 1444.62054) Full Text: DOI arXiv
Wang, Jiali; Verbyla, Arūnas P.; Jiang, Bomin; Zwart, Alexander B.; Ong, Cheng Soon; Sirault, Xavier R. R.; Verbyla, Klara L. Optimal design for adaptive smoothing splines. (English) Zbl 1437.62305 J. Stat. Plann. Inference 206, 263-277 (2020). MSC: 62K05 62G08 62P10 65D07 62B10 62J02 PDFBibTeX XMLCite \textit{J. Wang} et al., J. Stat. Plann. Inference 206, 263--277 (2020; Zbl 1437.62305) Full Text: DOI
Kalka, Arkadius; Kuhnt, Sonja The numerical statistical fan for noisy experimental designs. arXiv:2005.04051 Preprint, arXiv:2005.04051 [stat.ME] (2020). MSC: 13P10 62J02 62K99 65F99 BibTeX Cite \textit{A. Kalka} and \textit{S. Kuhnt}, ``The numerical statistical fan for noisy experimental designs'', Preprint, arXiv:2005.04051 [stat.ME] (2020) Full Text: arXiv OA License
Pricop-Jeckstadt, M. Nonlinear Tikhonov regularization in Hilbert scales with balancing principle tuning parameter in statistical inverse problems. (English) Zbl 1460.65061 Inverse Probl. Sci. Eng. 27, No. 2, 205-236 (2019). MSC: 65J22 62G08 47N20 PDFBibTeX XMLCite \textit{M. Pricop-Jeckstadt}, Inverse Probl. Sci. Eng. 27, No. 2, 205--236 (2019; Zbl 1460.65061) Full Text: DOI
Gejadze, I.; Malaterre, P.-O.; Shutyaev, V. On the use of derivatives in the polynomial chaos based global sensitivity and uncertainty analysis applied to the distributed parameter models. (English) Zbl 1451.62078 J. Comput. Phys. 381, 218-245 (2019). MSC: 62J02 65C20 PDFBibTeX XMLCite \textit{I. Gejadze} et al., J. Comput. Phys. 381, 218--245 (2019; Zbl 1451.62078) Full Text: DOI HAL
Zhang, Zhenying; Guo, Mengwu; Hesthaven, Jan S. Model order reduction for large-scale structures with local nonlinearities. (English) Zbl 1441.74285 Comput. Methods Appl. Mech. Eng. 353, 491-515 (2019). MSC: 74S05 65N30 74A50 74B05 74B20 PDFBibTeX XMLCite \textit{Z. Zhang} et al., Comput. Methods Appl. Mech. Eng. 353, 491--515 (2019; Zbl 1441.74285) Full Text: DOI Link
Freno, Brian A.; Carlberg, Kevin T. Machine-learning error models for approximate solutions to parameterized systems of nonlinear equations. (English) Zbl 1440.65058 Comput. Methods Appl. Mech. Eng. 348, 250-296 (2019). MSC: 65H10 68T05 PDFBibTeX XMLCite \textit{B. A. Freno} and \textit{K. T. Carlberg}, Comput. Methods Appl. Mech. Eng. 348, 250--296 (2019; Zbl 1440.65058) Full Text: DOI arXiv