Dufée, Benjamin; Hug, Bérenger; Mémin, Étienne; Tissot, Gilles Ensemble forecasts in reproducing kernel Hilbert space family. (English) Zbl 07814545 Physica D 459, Article ID 134044, 24 p. (2024). MSC: 37Mxx 68Txx 37Axx PDFBibTeX XMLCite \textit{B. Dufée} et al., Physica D 459, Article ID 134044, 24 p. (2024; Zbl 07814545) Full Text: DOI arXiv
Pang, Qiyuan; Yang, Haizhao A distributed block Chebyshev-Davidson algorithm for parallel spectral clustering. (English) Zbl 07812553 J. Sci. Comput. 98, No. 3, Paper No. 69, 24 p. (2024). MSC: 65F50 68W10 05C85 PDFBibTeX XMLCite \textit{Q. Pang} and \textit{H. Yang}, J. Sci. Comput. 98, No. 3, Paper No. 69, 24 p. (2024; Zbl 07812553) Full Text: DOI arXiv
Edelman, Alan; Akyürek, Ekin; Wang, Yuyang Backpropagation through back substitution with a backslash. (English) Zbl 07805906 SIAM J. Matrix Anal. Appl. 45, No. 1, 429-449 (2024). MSC: 68Nxx 05C50 PDFBibTeX XMLCite \textit{A. Edelman} et al., SIAM J. Matrix Anal. Appl. 45, No. 1, 429--449 (2024; Zbl 07805906) Full Text: DOI arXiv
Wu, Zhizhang; Zhang, Cheng; Zhang, Zhiwen Reduced-order model-based variational inference with normalizing flows for Bayesian elliptic inverse problems. (English) Zbl 07797178 J. Comput. Appl. Math. 441, Article ID 115659, 17 p. (2024). MSC: 35R30 35J25 35R60 62F15 68T07 78M34 PDFBibTeX XMLCite \textit{Z. Wu} et al., J. Comput. Appl. Math. 441, Article ID 115659, 17 p. (2024; Zbl 07797178) Full Text: DOI
Chen, Peiyi; Hu, Tianchen; Guilleminot, Johann A nonlinear-manifold reduced-order model and operator learning for partial differential equations with sharp solution gradients. (English) Zbl 07796701 Comput. Methods Appl. Mech. Eng. 419, Article ID 116684, 20 p. (2024). MSC: 68-XX 92-XX PDFBibTeX XMLCite \textit{P. Chen} et al., Comput. Methods Appl. Mech. Eng. 419, Article ID 116684, 20 p. (2024; Zbl 07796701) Full Text: DOI
Ignatov, Dmitry I. On the maximal independence polynomial of the covering graph of the hypercube up to \(n=6\). (English) Zbl 07786588 Dürrschnabel, Dominik (ed.) et al., Formal concept analysis. 17th international conference, ICFCA 2023, Kassel, Germany, July 17–21, 2023. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 13934, 152-165 (2023). MSC: 68T30 PDFBibTeX XMLCite \textit{D. I. Ignatov}, Lect. Notes Comput. Sci. 13934, 152--165 (2023; Zbl 07786588) 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
Lu, Hannah; Tartakovsky, Daniel M. DRIPS: a framework for dimension reduction and interpolation in parameter space. (English) Zbl 07748042 J. Comput. Phys. 493, Article ID 112455, 20 p. (2023). MSC: 93Bxx 68Txx 93Cxx PDFBibTeX XMLCite \textit{H. Lu} and \textit{D. M. Tartakovsky}, J. Comput. Phys. 493, Article ID 112455, 20 p. (2023; Zbl 07748042) Full Text: DOI
Barnett, Joshua; Farhat, Charbel; Maday, Yvon Neural-network-augmented projection-based model order reduction for mitigating the Kolmogorov barrier to reducibility. (English) Zbl 07742906 J. Comput. Phys. 492, Article ID 112420, 20 p. (2023). MSC: 65Mxx 65Nxx 68Txx PDFBibTeX XMLCite \textit{J. Barnett} et al., J. Comput. Phys. 492, Article ID 112420, 20 p. (2023; Zbl 07742906) Full Text: DOI arXiv
Burkardt, John; Garvie, Marcus R. An integer linear programming approach to solving the Eternity puzzle. (English) Zbl 07741114 Theor. Comput. Sci. 975, Article ID 114138, 20 p. (2023). MSC: 68Qxx PDFBibTeX XMLCite \textit{J. Burkardt} and \textit{M. R. Garvie}, Theor. Comput. Sci. 975, Article ID 114138, 20 p. (2023; Zbl 07741114) Full Text: DOI
Curtis, Frank E.; Wang, Qi Worst-case complexity of TRACE with inexact subproblem solutions for nonconvex smooth optimization. (English) Zbl 1522.90119 SIAM J. Optim. 33, No. 3, 2191-2221 (2023). MSC: 90C26 65K05 65K10 65Y20 68Q25 90C30 90C60 PDFBibTeX XMLCite \textit{F. E. Curtis} and \textit{Q. Wang}, SIAM J. Optim. 33, No. 3, 2191--2221 (2023; Zbl 1522.90119) Full Text: DOI arXiv
Wu, Sidi; Beaulac, Cédric; Cao, Jiguo Neural networks for scalar input and functional output. (English) Zbl 1517.62049 Stat. Comput. 33, No. 5, Paper No. 118, 20 p. (2023). MSC: 62-08 62G08 62R10 62H25 68T07 PDFBibTeX XMLCite \textit{S. Wu} et al., Stat. Comput. 33, No. 5, Paper No. 118, 20 p. (2023; Zbl 1517.62049) Full Text: DOI arXiv
Wang, Li; Zhang, Lei-Hong; Li, Ren-Cang Trace ratio optimization with an application to multi-view learning. (English) Zbl 1522.65100 Math. Program. 201, No. 1-2 (A), 97-131 (2023). MSC: 65K05 68T05 90C26 90C32 PDFBibTeX XMLCite \textit{L. Wang} et al., Math. Program. 201, No. 1--2 (A), 97--131 (2023; Zbl 1522.65100) Full Text: DOI arXiv
Sitenko, Dmitrij; Boll, Bastian; Schnörr, Christoph A nonlocal graph-PDE and higher-order geometric integration for image labeling. (English) Zbl 1521.39019 SIAM J. Imaging Sci. 16, No. 1, 501-567 (2023). MSC: 39A60 39A14 68U10 94A08 62H35 53B12 PDFBibTeX XMLCite \textit{D. Sitenko} et al., SIAM J. Imaging Sci. 16, No. 1, 501--567 (2023; Zbl 1521.39019) Full Text: DOI arXiv
Uy, Wayne Isaac Tan; Wang, Yuepeng; Wen, Yuxiao; Peherstorfer, Benjamin Active operator inference for learning low-dimensional dynamical-system models from noisy data. (English) Zbl 1515.93043 SIAM J. Sci. Comput. 45, No. 4, A1462-A1490 (2023). MSC: 93B30 60B20 62J05 65K10 68T05 PDFBibTeX XMLCite \textit{W. I. T. Uy} et al., SIAM J. Sci. Comput. 45, No. 4, A1462--A1490 (2023; Zbl 1515.93043) Full Text: DOI arXiv
Uhlig, Frank; Xu, An-Bao Iterative optimal solutions of linear matrix equations for hyperspectral and multispectral image fusing. (English) Zbl 1518.65042 Calcolo 60, No. 2, Paper No. 26, 33 p. (2023). MSC: 65F45 68U10 PDFBibTeX XMLCite \textit{F. Uhlig} and \textit{A.-B. Xu}, Calcolo 60, No. 2, Paper No. 26, 33 p. (2023; Zbl 1518.65042) Full Text: DOI arXiv
Krah, Philipp; Büchholz, Steffen; Häringer, Matthias; Reiss, Julius Front transport reduction for complex moving fronts. Nonlinear model reduction for an advection-reaction-diffusion equation with a Kolmogorov-Petrovsky-Piskunov reaction term. (English) Zbl 07708370 J. Sci. Comput. 96, No. 1, Paper No. 28, 34 p. (2023). MSC: 65Mxx 76Mxx 68Txx PDFBibTeX XMLCite \textit{P. Krah} et al., J. Sci. Comput. 96, No. 1, Paper No. 28, 34 p. (2023; Zbl 07708370) Full Text: DOI arXiv
Ammosov, D. A.; Stepanov, S. P.; Tyrylgin, A. A.; Malysheva, N. V.; Zamorshchikova, L. S. Partial learning using partially explicit discretization for multicontinuum/multiscale problems with limited observation: language interactions simulation. (English) Zbl 07700236 J. Comput. Appl. Math. 425, Article ID 115034, 16 p. (2023). MSC: 65M60 65M06 65N30 65D05 65M99 65M15 65F15 68T07 68Q32 91F20 35Q91 PDFBibTeX XMLCite \textit{D. A. Ammosov} et al., J. Comput. Appl. Math. 425, Article ID 115034, 16 p. (2023; Zbl 07700236) Full Text: DOI
Li, Shihai; Ma, Changfeng An improved gradient neural network for solving periodic Sylvester matrix equations. (English) Zbl 1524.65184 J. Franklin Inst. 360, No. 6, 4056-4070 (2023). MSC: 65F45 15A24 68T07 PDFBibTeX XMLCite \textit{S. Li} and \textit{C. Ma}, J. Franklin Inst. 360, No. 6, 4056--4070 (2023; Zbl 1524.65184) Full Text: DOI
Romor, Francesco; Stabile, Giovanni; Rozza, Gianluigi Non-linear manifold reduced-order models with convolutional autoencoders and reduced over-collocation method. (English) Zbl 07698834 J. Sci. Comput. 94, No. 3, Paper No. 74, 39 p. (2023). MSC: 68T07 65M22 65D15 PDFBibTeX XMLCite \textit{F. Romor} et al., J. Sci. Comput. 94, No. 3, Paper No. 74, 39 p. (2023; Zbl 07698834) Full Text: DOI arXiv
Pichi, Federico; Ballarin, Francesco; Rozza, Gianluigi; Hesthaven, Jan S. An artificial neural network approach to bifurcating phenomena in computational fluid dynamics. (English) Zbl 1521.76359 Comput. Fluids 254, Article ID 105813, 17 p. (2023). MSC: 76M10 37M20 68T07 PDFBibTeX XMLCite \textit{F. Pichi} et al., Comput. Fluids 254, Article ID 105813, 17 p. (2023; Zbl 1521.76359) Full Text: DOI arXiv
Ammosov, Dmitry; Grigorev, Aleksandr; Stepanov, Sergei; Tyrylgin, Aleksei Partial learning using partially explicit discretization for multicontinuum/multiscale problems. Fractured poroelastic media simulation. (English) Zbl 1516.74097 J. Comput. Appl. Math. 424, Article ID 115003, 17 p. (2023). MSC: 74S05 74S20 74F10 68T05 PDFBibTeX XMLCite \textit{D. Ammosov} et al., J. Comput. Appl. Math. 424, Article ID 115003, 17 p. (2023; Zbl 1516.74097) Full Text: DOI
Singor, Adam; Savage, Jeremy S.; Bray, Igor; Schneider, Barry I.; Fursa, Dmitry V. Continuum solutions to the two-center Coulomb problem in prolate spheroidal coordinates. (English) Zbl 1523.81067 Comput. Phys. Commun. 282, Article ID 108514, 15 p. (2023). MSC: 81Q05 78A25 81P55 68-04 39B82 42C15 81-04 PDFBibTeX XMLCite \textit{A. Singor} et al., Comput. Phys. Commun. 282, Article ID 108514, 15 p. (2023; Zbl 1523.81067) Full Text: DOI
Ezvan, O.; Soize, C.; Desceliers, C.; Ghanem, R. Updating an uncertain and expensive computational model in structural dynamics based on one single target FRF using a probabilistic learning tool. (English) Zbl 1519.74079 Comput. Mech. 71, No. 6, 1161-1177 (2023). MSC: 74S99 74S60 74H45 68T05 PDFBibTeX XMLCite \textit{O. Ezvan} et al., Comput. Mech. 71, No. 6, 1161--1177 (2023; Zbl 1519.74079) Full Text: DOI
Wilhelm, Matthew E.; Wang, Chenyu; Stuber, Matthew D. Convex and concave envelopes of artificial neural network activation functions for deterministic global optimization. (English) Zbl 1515.90109 J. Glob. Optim. 85, No. 3, 569-594 (2023). MSC: 90C26 68T05 PDFBibTeX XMLCite \textit{M. E. Wilhelm} et al., J. Glob. Optim. 85, No. 3, 569--594 (2023; Zbl 1515.90109) Full Text: DOI
Fu, Jinlong; Xiao, Dunhui; Fu, Rui; Li, Chenfeng; Zhu, Chuanhua; Arcucci, Rossella; Navon, Ionel M. Physics-data combined machine learning for parametric reduced-order modelling of nonlinear dynamical systems in small-data regimes. (English) Zbl 07644844 Comput. Methods Appl. Mech. Eng. 404, Article ID 115771, 49 p. (2023). MSC: 68-XX 65-XX PDFBibTeX XMLCite \textit{J. Fu} et al., Comput. Methods Appl. Mech. Eng. 404, Article ID 115771, 49 p. (2023; Zbl 07644844) Full Text: DOI
Fresca, Stefania; Gobat, Giorgio; Fedeli, Patrick; Frangi, Attilio; Manzoni, Andrea Deep learning-based reduced order models for the real-time simulation of the nonlinear dynamics of microstructures. (English) Zbl 07769309 Int. J. Numer. Methods Eng. 123, No. 20, 4749-4777 (2022). MSC: 68T07 65M06 94A08 PDFBibTeX XMLCite \textit{S. Fresca} et al., Int. J. Numer. Methods Eng. 123, No. 20, 4749--4777 (2022; Zbl 07769309) Full Text: DOI arXiv OA License
Herb, Konstantin; Welter, Pol Parallel time integration using batched BLAS (Basic Linear Algebra Subprograms) routines. (English) Zbl 07696947 Comput. Phys. Commun. 270, Article ID 108181, 8 p. (2022). MSC: 68-XX 65-XX PDFBibTeX XMLCite \textit{K. Herb} and \textit{P. Welter}, Comput. Phys. Commun. 270, Article ID 108181, 8 p. (2022; Zbl 07696947) Full Text: DOI arXiv
Godaz, Reza; Monsefi, Reza; Toutounian, Faezeh; Hosseini, Reshad Accurate and fast matrix factorization for low-rank learning. (English) Zbl 07694606 J. Math. Model. 10, No. 2, 263-278 (2022). MSC: 68T05 15A23 PDFBibTeX XMLCite \textit{R. Godaz} et al., J. Math. Model. 10, No. 2, 263--278 (2022; Zbl 07694606) Full Text: DOI arXiv
Dabaghian, Pedram H.; Ahmed, Shady E.; San, Omer Nonintrusive reduced order modelling of convective Boussinesq flows. (English) Zbl 1508.76089 Int. J. Comput. Fluid Dyn. 36, No. 7, 578-598 (2022). MSC: 76M99 76D99 76R10 80A19 68T05 PDFBibTeX XMLCite \textit{P. H. Dabaghian} et al., Int. J. Comput. Fluid Dyn. 36, No. 7, 578--598 (2022; Zbl 1508.76089) Full Text: DOI arXiv
Cicci, Ludovica; Fresca, Stefania; Manzoni, Andrea Deep-HyROMnet: a deep learning-based operator approximation for hyper-reduction of nonlinear parametrized PDEs. (English) Zbl 1503.65225 J. Sci. Comput. 93, No. 2, Paper No. 57, 37 p. (2022). MSC: 65M60 65M99 68T07 68Q32 65K10 65D05 PDFBibTeX XMLCite \textit{L. Cicci} et al., J. Sci. Comput. 93, No. 2, Paper No. 57, 37 p. (2022; Zbl 1503.65225) Full Text: DOI arXiv
Bogomolov, Sergiy; Forets, Marcelo; Frehse, Goran; Podelski, Andreas; Schilling, Christian Decomposing reach set computations with low-dimensional sets and high-dimensional matrices (extended version). (English) Zbl 07629131 Inf. Comput. 289, Part A, Article ID 104937, 24 p. (2022). MSC: 68Qxx PDFBibTeX XMLCite \textit{S. Bogomolov} et al., Inf. Comput. 289, Part A, Article ID 104937, 24 p. (2022; Zbl 07629131) Full Text: DOI
Mania, Horia; Jordan, Michael I.; Recht, Benjamin Active learning for nonlinear system identification with guarantees. (English) Zbl 07625185 J. Mach. Learn. Res. 23, Paper No. 32, 30 p. (2022). MSC: 68T05 PDFBibTeX XMLCite \textit{H. Mania} et al., J. Mach. Learn. Res. 23, Paper No. 32, 30 p. (2022; Zbl 07625185) Full Text: arXiv Link
Peruzzi, Michele; Dunson, David B. Spatial multivariate trees for big data Bayesian regression. (English) Zbl 07625170 J. Mach. Learn. Res. 23, Paper No. 17, 40 p. (2022). MSC: 68T05 PDFBibTeX XMLCite \textit{M. Peruzzi} and \textit{D. B. Dunson}, J. Mach. Learn. Res. 23, Paper No. 17, 40 p. (2022; Zbl 07625170) Full Text: arXiv Link
Hou, Shijin; Chen, Yanlai; Xia, Yinhua Fast \(L^2\) optimal mass transport via reduced basis methods for the Monge-Ampère equation. (English) Zbl 1509.65109 SIAM J. Sci. Comput. 44, No. 6, A3536-A3559 (2022). Reviewer: Muhammad Hassan (Aachen) MSC: 65N06 65N35 65N50 35J60 35J96 68Q32 35Q49 PDFBibTeX XMLCite \textit{S. Hou} et al., SIAM J. Sci. Comput. 44, No. 6, A3536--A3559 (2022; Zbl 1509.65109) Full Text: DOI arXiv
Chen, Zhixian; Ma, Tengfei; Jin, Zhihua; Song, Yangqiu; Wang, Yang BiGCN: a bi-directional low-pass filtering graph neural network. (English) Zbl 07615036 Anal. Appl., Singap. 20, No. 6, 1193-1214 (2022). MSC: 68T07 05C62 62D10 PDFBibTeX XMLCite \textit{Z. Chen} et al., Anal. Appl., Singap. 20, No. 6, 1193--1214 (2022; Zbl 07615036) Full Text: DOI arXiv
Guo, Pei-Chang; Ye, Qiang On the regularization of convolutional kernel tensors in neural networks. (English) Zbl 07569079 Linear Multilinear Algebra 70, No. 12, 2318-2330 (2022). MSC: 68Txx 65F15 PDFBibTeX XMLCite \textit{P.-C. Guo} and \textit{Q. Ye}, Linear Multilinear Algebra 70, No. 12, 2318--2330 (2022; Zbl 07569079) Full Text: DOI arXiv
Zhang, Tao; Xu, Hui; Guo, Lei; Feng, Xinlong A non-intrusive neural network model order reduction algorithm for parameterized parabolic PDEs. (English) Zbl 07566239 Comput. Math. Appl. 119, 59-67 (2022). MSC: 65M60 68T05 76M99 65P99 PDFBibTeX XMLCite \textit{T. Zhang} et al., Comput. Math. Appl. 119, 59--67 (2022; Zbl 07566239) Full Text: DOI
Persson, David; Cortinovis, Alice; Kressner, Daniel Improved variants of the Hutch++ algorithm for trace estimation. (English) Zbl 1492.65112 SIAM J. Matrix Anal. Appl. 43, No. 3, 1162-1185 (2022). MSC: 65F55 15A15 65C05 68W40 PDFBibTeX XMLCite \textit{D. Persson} et al., SIAM J. Matrix Anal. Appl. 43, No. 3, 1162--1185 (2022; Zbl 1492.65112) Full Text: DOI arXiv
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
Zhang, Zhenyue; Zhai, Zheng; Li, Limin Graph refinement via simultaneously low-rank and sparse approximation. (English) Zbl 1507.65090 SIAM J. Sci. Comput. 44, No. 3, A1525-A1553 (2022). MSC: 65F99 65F55 65F50 65K10 68R10 68T05 PDFBibTeX XMLCite \textit{Z. Zhang} et al., SIAM J. Sci. Comput. 44, No. 3, A1525--A1553 (2022; Zbl 1507.65090) Full Text: DOI
Benner, Peter; Goyal, Pawan; Heiland, Jan; Duff, Igor Pontes Operator inference and physics-informed learning of low-dimensional models for incompressible flows. (English) Zbl 1505.76072 ETNA, Electron. Trans. Numer. Anal. 56, 28-51 (2022). MSC: 76M99 76D05 76D25 68T05 PDFBibTeX XMLCite \textit{P. Benner} et al., ETNA, Electron. Trans. Numer. Anal. 56, 28--51 (2022; Zbl 1505.76072) Full Text: DOI arXiv
Kim, Youngkyu; Choi, Youngsoo; Widemann, David; Zohdi, Tarek A fast and accurate physics-informed neural network reduced order model with shallow masked autoencoder. (English) Zbl 07517153 J. Comput. Phys. 451, Article ID 110841, 29 p. (2022). MSC: 65Mxx 65Lxx 68Txx PDFBibTeX XMLCite \textit{Y. Kim} et al., J. Comput. Phys. 451, Article ID 110841, 29 p. (2022; Zbl 07517153) Full Text: DOI arXiv
Dietrich, Felix; Yair, Or; Mulayoff, Rotem; Talmon, Ronen; Kevrekidis, Ioannis G. Spectral discovery of jointly smooth features for multimodal data. (English) Zbl 07507774 SIAM J. Math. Data Sci. 4, No. 1, 410-430 (2022). MSC: 68T05 94A12 46N40 47N40 35K08 58C05 PDFBibTeX XMLCite \textit{F. Dietrich} et al., SIAM J. Math. Data Sci. 4, No. 1, 410--430 (2022; Zbl 07507774) Full Text: DOI arXiv
Karasözen, Bülent; Yıldız, Süleyman; Uzunca, Murat Intrusive and data-driven reduced order modelling of the rotating thermal shallow water equation. (English) Zbl 1510.76195 Appl. Math. Comput. 421, Article ID 126924, 17 p. (2022). MSC: 76U05 37M15 37N10 65F22 65M06 68T05 76B15 PDFBibTeX XMLCite \textit{B. Karasözen} et al., Appl. Math. Comput. 421, Article ID 126924, 17 p. (2022; Zbl 1510.76195) Full Text: DOI arXiv
Tyagi, Hemant Error analysis for denoising smooth modulo signals on a graph. (English) Zbl 07472534 Appl. Comput. Harmon. Anal. 57, 151-184 (2022). MSC: 68-XX 94-XX PDFBibTeX XMLCite \textit{H. Tyagi}, Appl. Comput. Harmon. Anal. 57, 151--184 (2022; Zbl 07472534) Full Text: DOI arXiv
Guo, Mengwu; Manzoni, Andrea; Amendt, Maurice; Conti, Paolo; Hesthaven, Jan S. Multi-fidelity regression using artificial neural networks: efficient approximation of parameter-dependent output quantities. (English) Zbl 1507.65184 Comput. Methods Appl. Mech. Eng. 389, Article ID 114378, 25 p. (2022). MSC: 65M60 65D07 65D12 68T07 92B20 PDFBibTeX XMLCite \textit{M. Guo} et al., Comput. Methods Appl. Mech. Eng. 389, Article ID 114378, 25 p. (2022; Zbl 1507.65184) Full Text: DOI arXiv
Hoang, Chi; Chowdhary, Kenny; Lee, Kookjin; Ray, Jaideep Projection-based model reduction of dynamical systems using space-time subspace and machine learning. (English) Zbl 1507.65292 Comput. Methods Appl. Mech. Eng. 389, Article ID 114341, 34 p. (2022). MSC: 65P99 37M10 68T05 PDFBibTeX XMLCite \textit{C. Hoang} et al., Comput. Methods Appl. Mech. Eng. 389, Article ID 114341, 34 p. (2022; Zbl 1507.65292) Full Text: DOI arXiv
Tropp, Joel A. Randomized block Krylov methods for approximating extreme eigenvalues. (English) Zbl 1480.65086 Numer. Math. 150, No. 1, 217-255 (2022). MSC: 65F15 68W20 60B20 PDFBibTeX XMLCite \textit{J. A. Tropp}, Numer. Math. 150, No. 1, 217--255 (2022; Zbl 1480.65086) Full Text: DOI arXiv Link
Druskin, Vladimir; Mamonov, Alexander V.; Zaslavsky, Mikhail Distance preserving model order reduction of graph-Laplacians and cluster analysis. (English) Zbl 1501.65087 J. Sci. Comput. 90, No. 1, Paper No. 32, 30 p. (2022). MSC: 65N06 65F15 65F10 68T05 PDFBibTeX XMLCite \textit{V. Druskin} et al., J. Sci. Comput. 90, No. 1, Paper No. 32, 30 p. (2022; Zbl 1501.65087) Full Text: DOI arXiv
Hyde, David A. B.; Bao, Michael; Fedkiw, Ronald On obtaining sparse semantic solutions for inverse problems, control, and neural network training. (English) Zbl 07515412 J. Comput. Phys. 443, Article ID 110498, 29 p. (2021). MSC: 90Cxx 68Txx 65Kxx PDFBibTeX XMLCite \textit{D. A. B. Hyde} et al., J. Comput. Phys. 443, Article ID 110498, 29 p. (2021; Zbl 07515412) Full Text: DOI
Karachalios, Dimitrios S.; Gosea, Ion Victor; Antoulas, Athanasios C. The Loewner framework for system identification and reduction. (English) Zbl 07445316 Benner, Peter (ed.) et al., Model order reduction. Volume 1: System- and data-driven methods and algorithms. Berlin: De Gruyter. 181-228 (2021). MSC: 65-XX 68-XX PDFBibTeX XMLCite \textit{D. S. Karachalios} et al., in: Model order reduction. Volume 1: System- and data-driven methods and algorithms. Berlin: De Gruyter. 181--228 (2021; Zbl 07445316) Full Text: DOI
Hendryx, Emily P.; Rivière, Béatrice M.; Rusin, Craig G. An extended DEIM algorithm for subset selection and class identification. (English) Zbl 07432815 Mach. Learn. 110, No. 4, 621-650 (2021). MSC: 68T05 PDFBibTeX XMLCite \textit{E. P. Hendryx} et al., Mach. Learn. 110, No. 4, 621--650 (2021; Zbl 07432815) Full Text: DOI
Tiglio, Manuel; Villanueva, Aarón On the stability and accuracy of the empirical interpolation method and gravitational wave surrogates. (English) Zbl 1481.83037 Classical Quantum Gravity 38, No. 13, Article ID 135011, 16 p. (2021). MSC: 83C35 83D05 83C25 68T05 83C05 81V60 70H45 PDFBibTeX XMLCite \textit{M. Tiglio} and \textit{A. Villanueva}, Classical Quantum Gravity 38, No. 13, Article ID 135011, 16 p. (2021; Zbl 1481.83037) Full Text: DOI arXiv
Cai, Hanqin; Hamm, Keaton; Huang, Longxiu; Needell, Deanna Mode-wise tensor decompositions: multi-dimensional generalizations of CUR decompositions. (English) Zbl 07415128 J. Mach. Learn. Res. 22, Paper No. 185, 36 p. (2021). MSC: 68T05 PDFBibTeX XMLCite \textit{H. Cai} et al., J. Mach. Learn. Res. 22, Paper No. 185, 36 p. (2021; Zbl 07415128) Full Text: arXiv Link
Kileel, Joe; Moscovich, Amit; Zelesko, Nathan; Singer, Amit Manifold learning with arbitrary norms. (English) Zbl 07395100 J. Fourier Anal. Appl. 27, No. 5, Paper No. 82, 56 p. (2021). MSC: 68T05 53B50 62R30 PDFBibTeX XMLCite \textit{J. Kileel} et al., J. Fourier Anal. Appl. 27, No. 5, Paper No. 82, 56 p. (2021; Zbl 07395100) Full Text: DOI arXiv
Zhou, Shenglong; Xiu, Naihua; Qi, Hou-Duo Global and quadratic convergence of Newton hard-thresholding pursuit. (English) Zbl 07370529 J. Mach. Learn. Res. 22, Paper No. 12, 45 p. (2021). MSC: 68T05 PDFBibTeX XMLCite \textit{S. Zhou} et al., J. Mach. Learn. Res. 22, Paper No. 12, 45 p. (2021; Zbl 07370529) Full Text: arXiv Link
Gusak, J.; Daulbaev, T.; Ponomarev, E.; Cichocki, A.; Oseledets, I. Reduced-order modeling of deep neural networks. (English. Russian original) Zbl 1528.68356 Comput. Math. Math. Phys. 61, No. 5, 774-785 (2021); translation from Zh. Vychisl. Mat. Mat. Fiz. 61, No. 5, 800-812 (2021). MSC: 68T07 PDFBibTeX XMLCite \textit{J. Gusak} et al., Comput. Math. Math. Phys. 61, No. 5, 774--785 (2021; Zbl 1528.68356); translation from Zh. Vychisl. Mat. Mat. Fiz. 61, No. 5, 800--812 (2021) Full Text: DOI arXiv
Cowen, Lenore; Devkota, Kapil; Hu, Xiaozhe; Murphy, James M.; Wu, Kaiyi Diffusion state distances: multitemporal analysis, fast algorithms, and applications to biological networks. (English) Zbl 1470.60231 SIAM J. Math. Data Sci. 3, No. 1, 142-170 (2021). MSC: 60J70 92C42 62H30 62M15 65C20 68T09 PDFBibTeX XMLCite \textit{L. Cowen} et al., SIAM J. Math. Data Sci. 3, No. 1, 142--170 (2021; Zbl 1470.60231) Full Text: DOI arXiv
Patel, Vivak; Jahangoshahi, Mohammad; Maldonado, Daniel A. An implicit representation and iterative solution of randomly sketched linear systems. (English) Zbl 07365301 SIAM J. Matrix Anal. Appl. 42, No. 2, 800-831 (2021). MSC: 65F10 65F25 65N75 65Y05 68W20 68W40 PDFBibTeX XMLCite \textit{V. Patel} et al., SIAM J. Matrix Anal. Appl. 42, No. 2, 800--831 (2021; Zbl 07365301) Full Text: DOI arXiv
Haasdonk, Bernard MOR software. (English) Zbl 1503.65034 Benner, Peter (ed.) et al., Model order reduction. Volume 3: Applications. Berlin: De Gruyter. 431-460 (2021). MSC: 65D15 65-04 93C15 68N30 PDFBibTeX XMLCite \textit{B. Haasdonk}, in: Model order reduction. Volume 3: Applications. Berlin: De Gruyter. 431--460 (2021; Zbl 1503.65034) Full Text: DOI
Fresca, Stefania; Dede’, Luca; Manzoni, Andrea A comprehensive deep learning-based approach to reduced order modeling of nonlinear time-dependent parametrized PDEs. (English) Zbl 1470.65166 J. Sci. Comput. 87, No. 2, Paper No. 61, 36 p. (2021). Reviewer: Bülent Karasözen (Ankara) MSC: 65M60 68T05 68T07 PDFBibTeX XMLCite \textit{S. Fresca} et al., J. Sci. Comput. 87, No. 2, Paper No. 61, 36 p. (2021; Zbl 1470.65166) Full Text: DOI arXiv
Bai, Feng; Wang, Yi Reduced-order modeling based on hybrid snapshot simulation. (English) Zbl 07342028 Int. J. Comput. Methods 18, No. 1, Article ID 2050029, 33 p. (2021). MSC: 65-XX 68-XX PDFBibTeX XMLCite \textit{F. Bai} and \textit{Y. Wang}, Int. J. Comput. Methods 18, No. 1, Article ID 2050029, 33 p. (2021; Zbl 07342028) Full Text: DOI
Hamm, Keaton; Huang, Longxiu Perturbations of CUR decompositions. (English) Zbl 07331677 SIAM J. Matrix Anal. Appl. 42, No. 1, 351-375 (2021). MSC: 65F55 15A23 68P99 68W20 PDFBibTeX XMLCite \textit{K. Hamm} and \textit{L. Huang}, SIAM J. Matrix Anal. Appl. 42, No. 1, 351--375 (2021; Zbl 07331677) Full Text: DOI arXiv
Lu, Chuan; Zhu, Xueyu Bifidelity data-assisted neural networks in nonintrusive reduced-order modeling. (English) Zbl 1466.65225 J. Sci. Comput. 87, No. 1, Paper No. 8, 30 p. (2021). MSC: 65N99 68T07 PDFBibTeX XMLCite \textit{C. Lu} and \textit{X. Zhu}, J. Sci. Comput. 87, No. 1, Paper No. 8, 30 p. (2021; Zbl 1466.65225) Full Text: DOI arXiv
Stoll, Martin A literature survey of matrix methods for data science. (English) Zbl 07778850 GAMM-Mitt. 43, No. 3, Article ID 202000013, 26 p. (2020). MSC: 65Fxx 15Axx 68Txx PDFBibTeX XMLCite \textit{M. Stoll}, GAMM-Mitt. 43, No. 3, Article ID 202000013, 26 p. (2020; Zbl 07778850) Full Text: DOI arXiv OA License
Liou, Kai-Hsin; Yang, Chao; Chelikowsky, James R. Scalable implementation of polynomial filtering for density functional theory calculation in PARSEC. (English) Zbl 07687580 Comput. Phys. Commun. 254, Article ID 107330, 13 p. (2020). MSC: 65-XX 68-XX PDFBibTeX XMLCite \textit{K.-H. Liou} et al., Comput. Phys. Commun. 254, Article ID 107330, 13 p. (2020; Zbl 07687580) Full Text: DOI
Gao, Han; Wang, Jian-Xun; Zahr, Matthew J. Non-intrusive model reduction of large-scale, nonlinear dynamical systems using deep learning. (English) Zbl 1489.93013 Physica D 412, Article ID 132614, 12 p. (2020). MSC: 93B11 93A15 93C10 68T07 PDFBibTeX XMLCite \textit{H. Gao} et al., Physica D 412, Article ID 132614, 12 p. (2020; Zbl 1489.93013) Full Text: DOI arXiv
Ahmed, Shady E.; San, Omer; Rasheed, Adil; Iliescu, Traian A long short-term memory embedding for hybrid uplifted reduced order models. (English) Zbl 1505.76071 Physica D 409, Article ID 132471, 16 p. (2020). MSC: 76M99 76D05 76D99 68T05 PDFBibTeX XMLCite \textit{S. E. Ahmed} et al., Physica D 409, Article ID 132471, 16 p. (2020; Zbl 1505.76071) Full Text: DOI arXiv
Erichson, N. Benjamin; Mathelin, Lionel; Yao, Zhewei; Brunton, Steven L.; Mahoney, Michael W.; Kutz, J. Nathan Shallow neural networks for fluid flow reconstruction with limited sensors. (English) Zbl 1472.68172 Proc. R. Soc. Lond., A, Math. Phys. Eng. Sci. 476, No. 2238, Article ID 20200097, 25 p. (2020). MSC: 68T07 76M99 PDFBibTeX XMLCite \textit{N. B. Erichson} et al., Proc. R. Soc. Lond., A, Math. Phys. Eng. Sci. 476, No. 2238, Article ID 20200097, 25 p. (2020; Zbl 1472.68172) Full Text: DOI arXiv Link
Jiang, Rujun; Li, Duan A linear-time algorithm for generalized trust region subproblems. (English) Zbl 1461.90086 SIAM J. Optim. 30, No. 1, 915-932 (2020). MSC: 90C20 90C22 90C26 68W25 PDFBibTeX XMLCite \textit{R. Jiang} and \textit{D. Li}, SIAM J. Optim. 30, No. 1, 915--932 (2020; Zbl 1461.90086) Full Text: DOI arXiv
Glusa, Christian; Boman, Erik G.; Chow, Edmond; Rajamanickam, Sivasankaran; Szyld, Daniel B. Scalable asynchronous domain decomposition solvers. (English) Zbl 1461.65257 SIAM J. Sci. Comput. 42, No. 6, C384-C409 (2020). MSC: 65N55 65Y05 68W10 68W15 PDFBibTeX XMLCite \textit{C. Glusa} et al., SIAM J. Sci. Comput. 42, No. 6, C384--C409 (2020; Zbl 1461.65257) Full Text: DOI
Daneshmand, Amir; Scutari, Gesualdo; Kungurtsev, Vyacheslav Second-order guarantees of distributed gradient algorithms. (English) Zbl 1493.90141 SIAM J. Optim. 30, No. 4, 3029-3068 (2020). MSC: 90C26 68W15 90C35 PDFBibTeX XMLCite \textit{A. Daneshmand} et al., SIAM J. Optim. 30, No. 4, 3029--3068 (2020; Zbl 1493.90141) Full Text: DOI arXiv
Soize, Christian; Ghanem, Roger G.; Desceliers, Christophe Sampling of Bayesian posteriors with a non-Gaussian probabilistic learning on manifolds from a small dataset. (English) Zbl 1452.62987 Stat. Comput. 30, No. 5, 1433-1457 (2020). MSC: 62R07 62R30 62P10 68T05 PDFBibTeX XMLCite \textit{C. Soize} et al., Stat. Comput. 30, No. 5, 1433--1457 (2020; Zbl 1452.62987) Full Text: DOI arXiv
Jian, Zhen; Xiao, Lin; Li, Kenli; Zuo, Qiuyue; Zhang, Yongsheng Adaptive coefficient designs for nonlinear activation function and its application to zeroing neural network for solving time-varying Sylvester equation. (English) Zbl 1451.68226 J. Franklin Inst. 357, No. 14, 9909-9929 (2020). MSC: 68T05 15A24 65F45 93C40 PDFBibTeX XMLCite \textit{Z. Jian} et al., J. Franklin Inst. 357, No. 14, 9909--9929 (2020; Zbl 1451.68226) Full Text: DOI
Dal Santo, Niccolò; Deparis, Simone; Pegolotti, Luca Data driven approximation of parametrized PDEs by reduced basis and neural networks. (English) Zbl 1437.65224 J. Comput. Phys. 416, Article ID 109550, 20 p. (2020). MSC: 65N99 68T07 76D05 35B30 PDFBibTeX XMLCite \textit{N. Dal Santo} et al., J. Comput. Phys. 416, Article ID 109550, 20 p. (2020; Zbl 1437.65224) Full Text: DOI arXiv
Saibaba, Arvind K. Randomized discrete empirical interpolation method for nonlinear model reduction. (English) Zbl 07206903 SIAM J. Sci. Comput. 42, No. 3, A1582-A1608 (2020). MSC: 65D05 68W20 PDFBibTeX XMLCite \textit{A. K. Saibaba}, SIAM J. Sci. Comput. 42, No. 3, A1582--A1608 (2020; Zbl 07206903) Full Text: DOI arXiv
Che, Maolin; Wei, Yimin; Yan, Hong The computation of low multilinear rank approximations of tensors via power scheme and random projection. (English) Zbl 07206106 SIAM J. Matrix Anal. Appl. 41, No. 2, 605-636 (2020). MSC: 65D15 15A18 15A69 65F15 65F10 65D40 68W20 PDFBibTeX XMLCite \textit{M. Che} et al., SIAM J. Matrix Anal. Appl. 41, No. 2, 605--636 (2020; Zbl 07206106) 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
Yu, Jian; Yan, Chao; Jiang, Zhenhua; Yuan, Wu; Chen, Shusheng Adaptive non-intrusive reduced order modeling for compressible flows. (English) Zbl 1453.76118 J. Comput. Phys. 397, Article ID 108855, 27 p. (2019). MSC: 76M12 65M08 68T05 35B30 76N15 PDFBibTeX XMLCite \textit{J. Yu} et al., J. Comput. Phys. 397, Article ID 108855, 27 p. (2019; Zbl 1453.76118) Full Text: DOI
Regazzoni, F.; Dedè, L.; Quarteroni, A. Machine learning for fast and reliable solution of time-dependent differential equations. (English) Zbl 1454.65185 J. Comput. Phys. 397, Article ID 108852, 26 p. (2019). MSC: 65P99 68T07 93B30 65K10 35K05 PDFBibTeX XMLCite \textit{F. Regazzoni} et al., J. Comput. Phys. 397, Article ID 108852, 26 p. (2019; Zbl 1454.65185) Full Text: DOI Link
Mastronardi, Nicola; Taeter, Harold; van Dooren, Paul On computing eigenvectors of symmetric tridiagonal matrices. (English) Zbl 07215840 Bini, Dario Andrea (ed.) et al., Structured matrices in numerical linear algebra. Analysis, algorithms and applications. Selected papers of the INdAM meeting on structured matrices in numerical linear algebra: analysis, algorithms and applications, Cortona, Italy, September 4–8, 2017. Cham: Springer. Springer INdAM Ser. 30, 181-195 (2019). MSC: 65Yxx 15-XX 68-XX 65-XX 65Fxx PDFBibTeX XMLCite \textit{N. Mastronardi} et al., Springer INdAM Ser. 30, 181--195 (2019; Zbl 07215840) Full Text: DOI
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
Wu, Rongteng; Xie, Xiaohong A heterogeneous parallel LU factorization algorithm based on a basic column block uniform allocation strategy. (English) Zbl 1435.65047 Math. Probl. Eng. 2019, Article ID 3720450, 12 p. (2019). MSC: 65F05 65Y05 68W10 PDFBibTeX XMLCite \textit{R. Wu} and \textit{X. Xie}, Math. Probl. Eng. 2019, Article ID 3720450, 12 p. (2019; Zbl 1435.65047) Full Text: DOI
Yoshida, Tomoki; Takeuchi, Ichiro; Karasuyama, Masayuki Safe triplet screening for distance metric learning. (English) Zbl 1494.68234 Neural Comput. 31, No. 12, 2432-2491 (2019). MSC: 68T05 90C90 PDFBibTeX XMLCite \textit{T. Yoshida} et al., Neural Comput. 31, No. 12, 2432--2491 (2019; Zbl 1494.68234) Full Text: DOI arXiv
Mohanty, Sraban Kumar; Sajith, G. An input/output efficient algorithm for Hessenberg reduction. (English) Zbl 1480.65110 Int. J. Found. Comput. Sci. 30, No. 8, 1279-1300 (2019). MSC: 65F99 68W40 15A23 PDFBibTeX XMLCite \textit{S. K. Mohanty} and \textit{G. Sajith}, Int. J. Found. Comput. Sci. 30, No. 8, 1279--1300 (2019; Zbl 1480.65110) Full Text: DOI
Jeannerod, Claude-Pierre; Mary, Theo; Pernet, Clément; Roche, Daniel S. Improving the complexity of block low-rank factorizations with fast matrix arithmetic. (English) Zbl 07141460 SIAM J. Matrix Anal. Appl. 40, No. 4, 1478-1496 (2019). MSC: 65-XX 68-XX 15A23 65F05 PDFBibTeX XMLCite \textit{C.-P. Jeannerod} et al., SIAM J. Matrix Anal. Appl. 40, No. 4, 1478--1496 (2019; Zbl 07141460) Full Text: DOI
Scott, C. B.; Mjolsness, Eric Multilevel artificial neural network training for spatially correlated learning. (English) Zbl 1423.68391 SIAM J. Sci. Comput. 41, No. 5, S297-S320 (2019). MSC: 68T05 PDFBibTeX XMLCite \textit{C. B. Scott} and \textit{E. Mjolsness}, SIAM J. Sci. Comput. 41, No. 5, S297--S320 (2019; Zbl 1423.68391) Full Text: DOI arXiv
Menini, Laura; Possieri, Corrado; Tornambè, Antonio A linear algebra method to decompose forms whose length is lower than the number of variables into weighted sum of squares. (English) Zbl 1453.93043 Int. J. Control 92, No. 11, 2647-2666 (2019). MSC: 93B25 93-08 68Q17 68W40 PDFBibTeX XMLCite \textit{L. Menini} et al., Int. J. Control 92, No. 11, 2647--2666 (2019; Zbl 1453.93043) Full Text: DOI
Guan, Yu; Chu, Delin Numerical computation for orthogonal low-rank approximation of tensors. (English) Zbl 1435.65064 SIAM J. Matrix Anal. Appl. 40, No. 3, 1047-1065 (2019). MSC: 65F25 65F20 65F55 15A69 65J10 68W25 PDFBibTeX XMLCite \textit{Y. Guan} and \textit{D. Chu}, SIAM J. Matrix Anal. Appl. 40, No. 3, 1047--1065 (2019; Zbl 1435.65064) Full Text: DOI
Haeser, Gabriel; Liu, Hongcheng; Ye, Yinyu Optimality condition and complexity analysis for linearly-constrained optimization without differentiability on the boundary. (English) Zbl 1423.90248 Math. Program. 178, No. 1-2 (A), 263-299 (2019). MSC: 90C30 90C51 90C60 68Q25 PDFBibTeX XMLCite \textit{G. Haeser} et al., Math. Program. 178, No. 1--2 (A), 263--299 (2019; Zbl 1423.90248) Full Text: DOI arXiv
Lu, Ye; Blal, N.; Gravouil, A. Datadriven HOPGD based computational vademecum for welding parameter identification. (English) Zbl 1469.74126 Comput. Mech. 64, No. 1, 47-62 (2019). MSC: 74S99 74P10 74M15 68T05 PDFBibTeX XMLCite \textit{Y. Lu} et al., Comput. Mech. 64, No. 1, 47--62 (2019; Zbl 1469.74126) Full Text: DOI
Swischuk, Renee; Mainini, Laura; Peherstorfer, Benjamin; Willcox, Karen Projection-based model reduction: formulations for physics-based machine learning. (English) Zbl 1411.65061 Comput. Fluids 179, 704-717 (2019). MSC: 65F15 68T05 PDFBibTeX XMLCite \textit{R. Swischuk} et al., Comput. Fluids 179, 704--717 (2019; Zbl 1411.65061) Full Text: DOI
Wang, Hefeng; Xiang, Hua A quantum eigensolver for symmetric tridiagonal matrices. (English) Zbl 1417.81103 Quantum Inf. Process. 18, No. 3, Paper No. 93, 11 p. (2019). MSC: 81P68 15A18 68U20 68Q10 93C80 PDFBibTeX XMLCite \textit{H. Wang} and \textit{H. Xiang}, Quantum Inf. Process. 18, No. 3, Paper No. 93, 11 p. (2019; Zbl 1417.81103) Full Text: DOI
Zhou, W.; Akrotirianakis, I. G.; Yektamaram, S.; Griffin, J. D. A matrix-free line-search algorithm for nonconvex optimization. (English) Zbl 1416.90023 Optim. Methods Softw. 34, No. 1, 1-24 (2019). MSC: 90C06 90C26 90C30 65K05 68T01 PDFBibTeX XMLCite \textit{W. Zhou} et al., Optim. Methods Softw. 34, No. 1, 1--24 (2019; Zbl 1416.90023) Full Text: DOI
Gu, Chuanqing; Jiang, Xianglong; Nie, Ying; Chen, Zhibing A preprocessed multi-step splitting iteration for computing PageRank. (English) Zbl 1427.65046 Appl. Math. Comput. 338, 87-100 (2018). MSC: 65F15 65F10 68M11 PDFBibTeX XMLCite \textit{C. Gu} et al., Appl. Math. Comput. 338, 87--100 (2018; Zbl 1427.65046) Full Text: DOI
Li, Huamin; Kluger, Yuval; Tygert, Mark Randomized algorithms for distributed computation of principal component analysis and singular value decomposition. (English) Zbl 1404.65023 Adv. Comput. Math. 44, No. 5, 1651-1672 (2018). MSC: 65F15 68W20 65F25 65F30 PDFBibTeX XMLCite \textit{H. Li} et al., Adv. Comput. Math. 44, No. 5, 1651--1672 (2018; Zbl 1404.65023) Full Text: DOI arXiv Link
Himpe, Christian; Leibner, Tobias; Rave, Stephan Hierarchical approximate proper orthogonal decomposition. (English) Zbl 06948618 SIAM J. Sci. Comput. 40, No. 5, A3267-A3292 (2018). MSC: 65Y99 65M22 65F99 68W10 68W15 PDFBibTeX XMLCite \textit{C. Himpe} et al., SIAM J. Sci. Comput. 40, No. 5, A3267--A3292 (2018; Zbl 06948618) Full Text: DOI arXiv
Yu, Wenjian; Gu, Yu; Li, Yaohang Efficient randomized algorithms for the fixed-precision low-rank matrix approximation. (English) Zbl 1405.65063 SIAM J. Matrix Anal. Appl. 39, No. 3, 1339-1359 (2018). Reviewer: Juan Ramon Torregrosa Sanchez (Valencia) MSC: 65F30 15A18 15A23 60B20 65F15 68W20 PDFBibTeX XMLCite \textit{W. Yu} et al., SIAM J. Matrix Anal. Appl. 39, No. 3, 1339--1359 (2018; Zbl 1405.65063) Full Text: DOI arXiv
Hesthaven, J. S.; Ubbiali, S. Non-intrusive reduced order modeling of nonlinear problems using neural networks. (English) Zbl 1398.65330 J. Comput. Phys. 363, 55-78 (2018). MSC: 65N99 68T05 68W27 35B30 76D05 PDFBibTeX XMLCite \textit{J. S. Hesthaven} and \textit{S. Ubbiali}, J. Comput. Phys. 363, 55--78 (2018; Zbl 1398.65330) Full Text: DOI Link