Mora, Carlos; Eweis-Labolle, Jonathan Tammer; Johnson, Tyler; Gadde, Likith; Bostanabad, Ramin Probabilistic neural data fusion for learning from an arbitrary number of multi-fidelity data sets. (English) Zbl 07736323 Comput. Methods Appl. Mech. Eng. 415, Article ID 116207, 29 p. (2023). MSC: 68-XX 92-XX PDF BibTeX XML Cite \textit{C. Mora} et al., Comput. Methods Appl. Mech. Eng. 415, Article ID 116207, 29 p. (2023; Zbl 07736323) Full Text: DOI arXiv
Aamari, Eddie; Berenfeld, Clément; Levrard, Clément Optimal reach estimation and metric learning. (English) Zbl 07732740 Ann. Stat. 51, No. 3, 1086-1108 (2023). MSC: 62G05 62C20 68U05 PDF BibTeX XML Cite \textit{E. Aamari} et al., Ann. Stat. 51, No. 3, 1086--1108 (2023; Zbl 07732740) Full Text: DOI arXiv Link
Landa, Boris; Cheng, Xiuyuan Robust inference of manifold density and geometry by doubly stochastic scaling. (English) Zbl 07732334 SIAM J. Math. Data Sci. 5, No. 3, 589-614 (2023). MSC: 62R07 62Gxx PDF BibTeX XML Cite \textit{B. Landa} and \textit{X. Cheng}, SIAM J. Math. Data Sci. 5, No. 3, 589--614 (2023; Zbl 07732334) Full Text: DOI arXiv
Hamm, Keaton; Henscheid, Nick; Kang, Shujie Wassmap: Wasserstein isometric mapping for image manifold learning. (English) Zbl 07726190 SIAM J. Math. Data Sci. 5, No. 2, 475-501 (2023). MSC: 68T10 49Q22 PDF BibTeX XML Cite \textit{K. Hamm} et al., SIAM J. Math. Data Sci. 5, No. 2, 475--501 (2023; Zbl 07726190) Full Text: DOI arXiv
Szalai, Robert Data-driven reduced order models using invariant foliations, manifolds and autoencoders. (English) Zbl 07724681 J. Nonlinear Sci. 33, No. 5, Paper No. 75, 49 p. (2023). MSC: 37M10 37M21 37C86 68T09 PDF BibTeX XML Cite \textit{R. Szalai}, J. Nonlinear Sci. 33, No. 5, Paper No. 75, 49 p. (2023; Zbl 07724681) Full Text: DOI arXiv
Wang, Li; Zhang, Lei-Hong; Li, Ren-Cang Trace ratio optimization with an application to multi-view learning. (English) Zbl 07720804 Math. Program. 201, No. 1-2 (A), 97-131 (2023). MSC: 65K05 68Q32 90C26 90C32 PDF BibTeX XML Cite \textit{L. Wang} et al., Math. Program. 201, No. 1--2 (A), 97--131 (2023; Zbl 07720804) Full Text: DOI arXiv
Nguyen, Du Operator-valued formulas for Riemannian gradient and Hessian and families of tractable metrics in Riemannian optimization. (English) Zbl 1515.65169 J. Optim. Theory Appl. 198, No. 1, 135-164 (2023). MSC: 65K10 58C05 49Q12 53C25 57Z20 57Z25 68T05 PDF BibTeX XML Cite \textit{D. Nguyen}, J. Optim. Theory Appl. 198, No. 1, 135--164 (2023; Zbl 1515.65169) Full Text: DOI arXiv
Mitchell-Heggs, Rufus; Prado, Seigfred; Gava, Giuseppe P.; Go, Mary Ann; Schultz, Simon R. Neural manifold analysis of brain circuit dynamics in health and disease. (English) Zbl 07714421 J. Comput. Neurosci. 51, No. 1, 1-21 (2023). MSC: 92B20 92C32 PDF BibTeX XML Cite \textit{R. Mitchell-Heggs} et al., J. Comput. Neurosci. 51, No. 1, 1--21 (2023; Zbl 07714421) Full Text: DOI arXiv
Dereich, Steffen; Kassing, Sebastian Central limit theorems for stochastic gradient descent with averaging for stable manifolds. (English) Zbl 07707073 Electron. J. Probab. 28, Paper No. 57, 48 p. (2023). MSC: 62L20 60J05 65C05 PDF BibTeX XML Cite \textit{S. Dereich} and \textit{S. Kassing}, Electron. J. Probab. 28, Paper No. 57, 48 p. (2023; Zbl 07707073) Full Text: DOI arXiv Link
Jorgensen, Palle; Tian, James Harmonic analysis of network systems via kernels and their boundary realizations. (English) Zbl 07701141 Discrete Contin. Dyn. Syst., Ser. S 16, No. 2, 277-308 (2023). MSC: 46N30 46N50 42C15 46N20 31A15 81S25 PDF BibTeX XML Cite \textit{P. Jorgensen} and \textit{J. Tian}, Discrete Contin. Dyn. Syst., Ser. S 16, No. 2, 277--308 (2023; Zbl 07701141) Full Text: DOI
Ivagnes, Anna; Demo, Nicola; Rozza, Gianluigi Towards a machine learning pipeline in reduced order modelling for inverse problems: neural networks for boundary parametrization, dimensionality reduction and solution manifold approximation. (English) Zbl 07698840 J. Sci. Comput. 95, No. 1, Paper No. 23, 24 p. (2023). MSC: 76M21 76M99 68T05 68T07 PDF BibTeX XML Cite \textit{A. Ivagnes} et al., J. Sci. Comput. 95, No. 1, Paper No. 23, 24 p. (2023; Zbl 07698840) Full Text: DOI arXiv
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 PDF BibTeX XML Cite \textit{F. Romor} et al., J. Sci. Comput. 94, No. 3, Paper No. 74, 39 p. (2023; Zbl 07698834) Full Text: DOI arXiv
Chitour, Yacine; Liao, Zhenyu; Couillet, Romain A geometric approach of gradient descent algorithms in linear neural networks. (English) Zbl 07697850 Math. Control Relat. Fields 13, No. 3, 918-945 (2023). MSC: 68T07 37B35 37D10 PDF BibTeX XML Cite \textit{Y. Chitour} et al., Math. Control Relat. Fields 13, No. 3, 918--945 (2023; Zbl 07697850) Full Text: DOI arXiv
Björklund, Anton; Mäkelä, Jarmo; Puolamäki, Kai SLISEMAP: supervised dimensionality reduction through local explanations. (English) Zbl 07694478 Mach. Learn. 112, No. 1, 1-43 (2023). MSC: 68T05 PDF BibTeX XML Cite \textit{A. Björklund} et al., Mach. Learn. 112, No. 1, 1--43 (2023; Zbl 07694478) Full Text: DOI arXiv
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 07691242 Comput. Mech. 71, No. 6, 1161-1177 (2023). MSC: 74S99 74S60 74H45 68T05 PDF BibTeX XML Cite \textit{O. Ezvan} et al., Comput. Mech. 71, No. 6, 1161--1177 (2023; Zbl 07691242) Full Text: DOI
Evangelou, Nikolaos; Dietrich, Felix; Chiavazzo, Eliodoro; Lehmberg, Daniel; Meila, Marina; Kevrekidis, Ioannis G. Double diffusion maps and their latent harmonics for scientific computations in latent space. (English) Zbl 07690204 J. Comput. Phys. 485, Article ID 112072, 19 p. (2023). MSC: 68Txx 37Cxx 35Kxx PDF BibTeX XML Cite \textit{N. Evangelou} et al., J. Comput. Phys. 485, Article ID 112072, 19 p. (2023; Zbl 07690204) Full Text: DOI arXiv
Praveen, Harshwardhan; Boullé, Nicolas; Earls, Christopher Principled interpolation of Green’s functions learned from data. (English) Zbl 07682851 Comput. Methods Appl. Mech. Eng. 409, Article ID 115971, 22 p. (2023). MSC: 65-XX 68-XX PDF BibTeX XML Cite \textit{H. Praveen} et al., Comput. Methods Appl. Mech. Eng. 409, Article ID 115971, 22 p. (2023; Zbl 07682851) Full Text: DOI arXiv
Cahill, Jameson; Mixon, Dustin G.; Parshall, Hans Lie PCA: density estimation for symmetric manifolds. (English) Zbl 07681448 Appl. Comput. Harmon. Anal. 65, 279-295 (2023). MSC: 62-XX 68-XX PDF BibTeX XML Cite \textit{J. Cahill} et al., Appl. Comput. Harmon. Anal. 65, 279--295 (2023; Zbl 07681448) Full Text: DOI arXiv
Aminu, Muhammad; Ahmad, Noor A. Effective dimensionality reduction using kernel locality preserving partial least squares discriminant analysis. (English) Zbl 07676021 Bull. Malays. Math. Sci. Soc. (2) 46, No. 3, Paper No. 87, 29 p. (2023). MSC: 62H30 68T10 62P10 PDF BibTeX XML Cite \textit{M. Aminu} and \textit{N. A. Ahmad}, Bull. Malays. Math. Sci. Soc. (2) 46, No. 3, Paper No. 87, 29 p. (2023; Zbl 07676021) Full Text: DOI
Bello-Rivas, Juan M.; Georgiou, Anastasia; Guckenheimer, John; Kevrekidis, Ioannis G. Staying the course: iteratively locating equilibria of dynamical systems on Riemannian manifolds defined by point-clouds. (English) Zbl 1515.37090 J. Math. Chem. 61, No. 3, 600-629 (2023). MSC: 37M05 37M21 53Z50 68T05 PDF BibTeX XML Cite \textit{J. M. Bello-Rivas} et al., J. Math. Chem. 61, No. 3, 600--629 (2023; Zbl 1515.37090) Full Text: DOI arXiv
Li, Adam; Perry, Ronan; Huynh, Chester; Tomita, Tyler M.; Mehta, Ronak; Arroyo, Jesus; Patsolic, Jesse; Falk, Ben; Sarma, Sridevi; Vogelstein, Joshua Manifold oblique random forests: towards closing the gap on convolutional deep networks. (English) Zbl 07669888 SIAM J. Math. Data Sci. 5, No. 1, 77-96 (2023). MSC: 68W20 PDF BibTeX XML Cite \textit{A. Li} et al., SIAM J. Math. Data Sci. 5, No. 1, 77--96 (2023; Zbl 07669888) Full Text: DOI arXiv
Foumani, Zahra Zanjani; Shishehbor, Mehdi; Yousefpour, Amin; Bostanabad, Ramin Multi-fidelity cost-aware Bayesian optimization. (English) Zbl 07665593 Comput. Methods Appl. Mech. Eng. 407, Article ID 115937, 31 p. (2023). MSC: 62-XX 81-XX PDF BibTeX XML Cite \textit{Z. Z. Foumani} et al., Comput. Methods Appl. Mech. Eng. 407, Article ID 115937, 31 p. (2023; Zbl 07665593) Full Text: DOI arXiv
Kontolati, Katiana; Goswami, Somdatta; Shields, Michael D.; Karniadakis, George Em On the influence of over-parameterization in manifold based surrogates and deep neural operators. (English) Zbl 07660362 J. Comput. Phys. 479, Article ID 112008, 18 p. (2023). MSC: 65Cxx 68Txx 60Hxx PDF BibTeX XML Cite \textit{K. Kontolati} et al., J. Comput. Phys. 479, Article ID 112008, 18 p. (2023; Zbl 07660362) Full Text: DOI arXiv
Patsatzis, Dimitrios G.; Russo, Lucia; Kevrekidis, Ioannis G.; Siettos, Constantinos Data-driven control of agent-based models: an equation/variable-free machine learning approach. (English) Zbl 07660326 J. Comput. Phys. 478, Article ID 111953, 25 p. (2023). MSC: 68Txx 93Cxx 65-XX PDF BibTeX XML Cite \textit{D. G. Patsatzis} et al., J. Comput. Phys. 478, Article ID 111953, 25 p. (2023; Zbl 07660326) Full Text: DOI arXiv
Rusch, Thomas; Mair, Patrick; Hornik, Kurt Structure-based hyperparameter selection with Bayesian optimization in multidimensional scaling. (English) Zbl 1502.62025 Stat. Comput. 33, No. 1, Paper No. 28, 18 p. (2023). MSC: 62-08 PDF BibTeX XML Cite \textit{T. Rusch} et al., Stat. Comput. 33, No. 1, Paper No. 28, 18 p. (2023; Zbl 1502.62025) Full Text: DOI
Faigenbaum-Golovin, Shira; Levin, David Manifold reconstruction and denoising from scattered data in high dimension. (English) Zbl 1498.65040 J. Comput. Appl. Math. 421, Article ID 114818, 24 p. (2023). MSC: 65D99 PDF BibTeX XML Cite \textit{S. Faigenbaum-Golovin} and \textit{D. Levin}, J. Comput. Appl. Math. 421, Article ID 114818, 24 p. (2023; Zbl 1498.65040) Full Text: DOI
Faigenbaum-Golovin, Shira; Levin, David Approximation of functions on manifolds in high dimension from noisy scattered data. (English) Zbl 07681191 Jaen J. Approx. 13, 43-73 (2022). MSC: 41A63 41-XX 65D99 PDF BibTeX XML Cite \textit{S. Faigenbaum-Golovin} and \textit{D. Levin}, Jaen J. Approx. 13, 43--73 (2022; Zbl 07681191) Full Text: arXiv Link
Puchkin, Nikita; Spokoiny, Vladimir Structure-adaptive manifold estimation. (English) Zbl 07625193 J. Mach. Learn. Res. 23, Paper No. 40, 62 p. (2022). MSC: 68T05 PDF BibTeX XML Cite \textit{N. Puchkin} and \textit{V. Spokoiny}, J. Mach. Learn. Res. 23, Paper No. 40, 62 p. (2022; Zbl 07625193) Full Text: arXiv Link
Sharma, Utkarsh; Kaplan, Jared Scaling laws from the data manifold dimension. (English) Zbl 07625162 J. Mach. Learn. Res. 23, Paper No. 9, 34 p. (2022). MSC: 68T05 PDF BibTeX XML Cite \textit{U. Sharma} and \textit{J. Kaplan}, J. Mach. Learn. Res. 23, Paper No. 9, 34 p. (2022; Zbl 07625162) Full Text: Link
Ma, Xin; Kundu, Suprateek; Stevens, Jennifer Semi-parametric Bayes regression with network-valued covariates. (English) Zbl 07624285 Mach. Learn. 111, No. 10, 3733-3767 (2022). MSC: 68T05 PDF BibTeX XML Cite \textit{X. Ma} et al., Mach. Learn. 111, No. 10, 3733--3767 (2022; Zbl 07624285) Full Text: DOI arXiv
Chen, Shi; Li, Qin; Lu, Jianfeng; Wright, Stephen J. Manifold learning and nonlinear homogenization. (English) Zbl 1498.65218 Multiscale Model. Simul. 20, No. 3, 1093-1126 (2022). MSC: 65N99 65N55 PDF BibTeX XML Cite \textit{S. Chen} et al., Multiscale Model. Simul. 20, No. 3, 1093--1126 (2022; Zbl 1498.65218) Full Text: DOI arXiv
Wang, Li; Zhang, Lei-Hong; Li, Ren-Cang Maximizing sum of coupled traces with applications. (English) Zbl 1505.65221 Numer. Math. 152, No. 3, 587-629 (2022). MSC: 65K05 65H17 90C26 PDF BibTeX XML Cite \textit{L. Wang} et al., Numer. Math. 152, No. 3, 587--629 (2022; Zbl 1505.65221) Full Text: DOI
Cheng, Xiuyuan; Wu, Hau-Tieng Convergence of graph Laplacian with kNN self-tuned kernels. (English) Zbl 1501.05014 Inf. Inference 11, No. 3, 889-957 (2022). MSC: 05C50 05C81 62G07 PDF BibTeX XML Cite \textit{X. Cheng} and \textit{H.-T. Wu}, Inf. Inference 11, No. 3, 889--957 (2022; Zbl 1501.05014) Full Text: DOI arXiv
Fries, William D.; He, Xiaolong; Choi, Youngsoo LaSDI: parametric latent space dynamics identification. (English) Zbl 1507.65078 Comput. Methods Appl. Mech. Eng. 399, Article ID 115436, 25 p. (2022). MSC: 65F15 65P99 PDF BibTeX XML Cite \textit{W. D. Fries} et al., Comput. Methods Appl. Mech. Eng. 399, Article ID 115436, 25 p. (2022; Zbl 1507.65078) Full Text: DOI arXiv
Huang, Yan; Wan, Jiansong Hierarchical analysis of Chinese financial market based on manifold structure. (English) Zbl 1498.91419 Ann. Oper. Res. 315, No. 2, 1135-1150 (2022). MSC: 91G15 62P05 62B11 53Z50 PDF BibTeX XML Cite \textit{Y. Huang} and \textit{J. Wan}, Ann. Oper. Res. 315, No. 2, 1135--1150 (2022; Zbl 1498.91419) Full Text: DOI
Cheng, Xiuyuan; Wu, Nan Eigen-convergence of Gaussian kernelized graph Laplacian by manifold heat interpolation. (English) Zbl 1496.65203 Appl. Comput. Harmon. Anal. 61, 132-190 (2022). MSC: 65N25 68T05 62H30 05C50 58J60 35R01 PDF BibTeX XML Cite \textit{X. Cheng} and \textit{N. Wu}, Appl. Comput. Harmon. Anal. 61, 132--190 (2022; Zbl 1496.65203) Full Text: DOI arXiv
Liao, Wenjing; Maggioni, Mauro; Vigogna, Stefano Multiscale regression on unknown manifolds. (English) Zbl 07575826 Math. Eng. (Springfield) 4, No. 4, Paper No. 28, 25 p. (2022). MSC: 62-XX 68-XX PDF BibTeX XML Cite \textit{W. Liao} et al., Math. Eng. (Springfield) 4, No. 4, Paper No. 28, 25 p. (2022; Zbl 07575826) Full Text: DOI arXiv
Sun, Ke Local measurements of nonlinear embeddings with information geometry. (English) Zbl 07573609 Nielsen, Frank (ed.) et al., Geometry and statistics. Amsterdam: Elsevier/Academic Press. Handb. Stat. 46, 257-281 (2022). MSC: 62H11 60D05 PDF BibTeX XML Cite \textit{K. Sun}, Handb. Stat. 46, 257--281 (2022; Zbl 07573609) Full Text: Link
Otto, Samuel E.; Rowley, Clarence W. Inadequacy of linear methods for minimal sensor placement and feature selection in nonlinear systems: a new approach using secants. (English) Zbl 07570751 J. Nonlinear Sci. 32, No. 5, Paper No. 69, 51 p. (2022). MSC: 62-XX 49-XX 90-XX PDF BibTeX XML Cite \textit{S. E. Otto} and \textit{C. W. Rowley}, J. Nonlinear Sci. 32, No. 5, Paper No. 69, 51 p. (2022; Zbl 07570751) Full Text: DOI arXiv
Wu, Hau-Tieng; Wu, Nan Strong uniform consistency with rates for kernel density estimators with general kernels on manifolds. (English) Zbl 1493.62193 Inf. Inference 11, No. 2, 781-799 (2022). MSC: 62G07 60F15 PDF BibTeX XML Cite \textit{H.-T. Wu} and \textit{N. Wu}, Inf. Inference 11, No. 2, 781--799 (2022; Zbl 1493.62193) Full Text: DOI arXiv
Grementieri, Luca; Fioresi, Rita Model-centric data manifold: the data through the eyes of the model. (English) Zbl 07567499 SIAM J. Imaging Sci. 15, No. 3, 1140-1156 (2022). MSC: 68T07 PDF BibTeX XML Cite \textit{L. Grementieri} and \textit{R. Fioresi}, SIAM J. Imaging Sci. 15, No. 3, 1140--1156 (2022; Zbl 07567499) Full Text: DOI arXiv
Gao, Jia-Xing; Jiang, Da-Quan; Qian, Min-Ping Adaptive manifold density estimation. (English) Zbl 07551356 J. Stat. Comput. Simulation 92, No. 11, 2317-2331 (2022). MSC: 62-XX PDF BibTeX XML Cite \textit{J.-X. Gao} et al., J. Stat. Comput. Simulation 92, No. 11, 2317--2331 (2022; Zbl 07551356) Full Text: DOI
Barnett, Joshua; Farhat, Charbel Quadratic approximation manifold for mitigating the Kolmogorov barrier in nonlinear projection-based model order reduction. (English) Zbl 07540375 J. Comput. Phys. 464, Article ID 111348, 20 p. (2022). MSC: 65Nxx 65Mxx 74Sxx PDF BibTeX XML Cite \textit{J. Barnett} and \textit{C. Farhat}, J. Comput. Phys. 464, Article ID 111348, 20 p. (2022; Zbl 07540375) Full Text: DOI arXiv
Kontolati, Katiana; Loukrezis, Dimitrios; Giovanis, Dimitrios G.; Vandanapu, Lohit; Shields, Michael D. A survey of unsupervised learning methods for high-dimensional uncertainty quantification in black-box-type problems. (English) Zbl 07540357 J. Comput. Phys. 464, Article ID 111313, 30 p. (2022). MSC: 68Txx 65Cxx 62Hxx PDF BibTeX XML Cite \textit{K. Kontolati} et al., J. Comput. Phys. 464, Article ID 111313, 30 p. (2022; Zbl 07540357) Full Text: DOI arXiv
Nguyen, Du Closed-form geodesics and optimization for Riemannian logarithms of Stiefel and flag manifolds. (English) Zbl 1500.53056 J. Optim. Theory Appl. 194, No. 1, 142-166 (2022). MSC: 53C22 14M15 58E10 65K10 58C05 53C25 57Z20 57Z25 68T05 68T45 PDF BibTeX XML Cite \textit{D. Nguyen}, J. Optim. Theory Appl. 194, No. 1, 142--166 (2022; Zbl 1500.53056) Full Text: DOI arXiv
Schonsheck, Stefan C.; Dong, Bin; Lai, Rongjie Parallel transport convolution: deformable convolutional networks on manifold-structured data. (English) Zbl 07535832 SIAM J. Imaging Sci. 15, No. 1, 367-386 (2022). MSC: 68U05 65D18 68T45 PDF BibTeX XML Cite \textit{S. C. Schonsheck} et al., SIAM J. Imaging Sci. 15, No. 1, 367--386 (2022; Zbl 07535832) Full Text: DOI arXiv
Zhou, Jia-Bin; Bai, Yan-Qin; Guo, Yan-Ru; Lin, Hai-Xiang Intuitionistic fuzzy Laplacian twin support vector machine for semi-supervised classification. (English) Zbl 1499.68326 J. Oper. Res. Soc. China 10, No. 1, 89-112 (2022). MSC: 68T05 62H30 PDF BibTeX XML Cite \textit{J.-B. Zhou} et al., J. Oper. Res. Soc. China 10, No. 1, 89--112 (2022; Zbl 1499.68326) Full Text: DOI
Antasik, Aleksander Sampling \(C^1\)-submanifolds of \(\mathbb{H}^n\). (English) Zbl 1492.53012 Colloq. Math. 168, No. 2, 211-228 (2022). MSC: 53A35 53A07 55P10 53Z50 PDF BibTeX XML Cite \textit{A. Antasik}, Colloq. Math. 168, No. 2, 211--228 (2022; Zbl 1492.53012) Full Text: DOI
Pasadakis, Dimosthenis; Alappat, Christie Louis; Schenk, Olaf; Wellein, Gerhard Multiway \(p\)-spectral graph cuts on Grassmann manifolds. (English) Zbl 07510328 Mach. Learn. 111, No. 2, 791-829 (2022). MSC: 68T05 PDF BibTeX XML Cite \textit{D. Pasadakis} et al., Mach. Learn. 111, No. 2, 791--829 (2022; Zbl 07510328) 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 PDF BibTeX XML Cite \textit{F. Dietrich} et al., SIAM J. Math. Data Sci. 4, No. 1, 410--430 (2022; Zbl 07507774) Full Text: DOI arXiv
dos Santos, Ketson R.; Giovanis, Dimitrios G.; Shields, Michael D. Grassmannian diffusion maps-based dimension reduction and classification for high-dimensional data. (English) Zbl 1489.53136 SIAM J. Sci. Comput. 44, No. 2, B250-B274 (2022). MSC: 53Z50 14M15 60J20 58D15 58D10 53B20 53B21 PDF BibTeX XML Cite \textit{K. R. dos Santos} et al., SIAM J. Sci. Comput. 44, No. 2, B250--B274 (2022; Zbl 1489.53136) Full Text: DOI
Little, Anna; McKenzie, Daniel; Murphy, James M. Balancing geometry and density: path distances on high-dimensional data. (English) Zbl 1493.62391 SIAM J. Math. Data Sci. 4, No. 1, 72-99 (2022). MSC: 62H30 68T09 PDF BibTeX XML Cite \textit{A. Little} et al., SIAM J. Math. Data Sci. 4, No. 1, 72--99 (2022; Zbl 1493.62391) Full Text: DOI arXiv
Canducci, M.; Tiño, P.; Mastropietro, M. Probabilistic modelling of general noisy multi-manifold data sets. (English) Zbl 1493.62645 Artif. Intell. 302, Article ID 103579, 29 p. (2022). MSC: 62R30 PDF BibTeX XML Cite \textit{M. Canducci} et al., Artif. Intell. 302, Article ID 103579, 29 p. (2022; Zbl 1493.62645) Full Text: DOI
Kohli, Dhruv; Cloninger, Alexander; Mishne, Gal LDLE: low distortion local eigenmaps. (English) Zbl 07626797 J. Mach. Learn. Res. 22, Paper No. 282, 64 p. (2021). MSC: 68T05 PDF BibTeX XML Cite \textit{D. Kohli} et al., J. Mach. Learn. Res. 22, Paper No. 282, 64 p. (2021; Zbl 07626797) Full Text: arXiv Link
Baek, Mina; Kim, Choongrak A review on spectral clustering and stochastic block models. (English) Zbl 1485.62077 J. Korean Stat. Soc. 50, No. 3, 818-831 (2021). MSC: 62H30 62H22 68T05 PDF BibTeX XML Cite \textit{M. Baek} and \textit{C. Kim}, J. Korean Stat. Soc. 50, No. 3, 818--831 (2021; Zbl 1485.62077) Full Text: DOI
Zhou, Han; Yin, Hongpeng; Li, Yanxia; Chai, Yi Multiview clustering via exclusive non-negative subspace learning and constraint propagation. (English) Zbl 1484.62087 Inf. Sci. 552, 102-117 (2021). MSC: 62H30 68T05 PDF BibTeX XML Cite \textit{H. Zhou} et al., Inf. Sci. 552, 102--117 (2021; Zbl 1484.62087) Full Text: DOI
Cabanes, Yann; Nielsen, Frank Classification in the Siegel space for vectorial autoregressive data. (English) Zbl 1490.53021 Nielsen, Frank (ed.) et al., Geometric science of information. 5th international conference, GSI 2021, Paris, France, July 21–23, 2021. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 12829, 693-700 (2021). MSC: 53B12 94A12 53A35 68T05 15B48 PDF BibTeX XML Cite \textit{Y. Cabanes} and \textit{F. Nielsen}, Lect. Notes Comput. Sci. 12829, 693--700 (2021; Zbl 1490.53021) Full Text: DOI
Abdolali, Maryam; Gillis, Nicolas Beyond linear subspace clustering: a comparative study of nonlinear manifold clustering algorithms. (English) Zbl 1486.68139 Comput. Sci. Rev. 42, Article ID 100435, 24 p. (2021). MSC: 68T05 62H30 62R07 62R30 68T07 62-02 68-02 PDF BibTeX XML Cite \textit{M. Abdolali} and \textit{N. Gillis}, Comput. Sci. Rev. 42, Article ID 100435, 24 p. (2021; Zbl 1486.68139) Full Text: DOI arXiv
Zhou, Wenzhuo; Zhu, Ruoqing; Zeng, Donglin A parsimonious personalized dose-finding model via dimension reduction. (English) Zbl 1478.62352 Biometrika 108, No. 3, 643-659 (2021). MSC: 62P10 PDF BibTeX XML Cite \textit{W. Zhou} et al., Biometrika 108, No. 3, 643--659 (2021; Zbl 1478.62352) Full Text: DOI arXiv
Zeilmann, Alexander; Petra, Stefania; Schnörr, Christoph Learning linear assignment flows for image labeling via exponential integration. (English) Zbl 1484.68310 Elmoataz, Abderrahim (ed.) et al., Scale space and variational methods in computer vision. 8th international conference, SSVM 2021, virtual event, May 16–20, 2021. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 12679, 385-397 (2021). MSC: 68U10 65F60 65L05 PDF BibTeX XML Cite \textit{A. Zeilmann} et al., Lect. Notes Comput. Sci. 12679, 385--397 (2021; Zbl 1484.68310) Full Text: DOI
Han, Xu; Liu, Jie; Chen, Jinlong A manifold learning method for inverse problems with structural multi-source uncertainties. (Chinese. English summary) Zbl 1488.68047 Chin. J. Comput. Mech. 38, No. 4, 523-530 (2021). MSC: 68T05 74G75 PDF BibTeX XML Cite \textit{X. Han} et al., Chin. J. Comput. Mech. 38, No. 4, 523--530 (2021; Zbl 1488.68047) Full Text: DOI
Cecini, Enrico; De Vito, Ernesto; Rosasco, Lorenzo Multi-scale vector quantization with reconstruction trees. (English) Zbl 1493.62638 Inf. Inference 10, No. 3, 955-986 (2021). MSC: 62R07 PDF BibTeX XML Cite \textit{E. Cecini} et al., Inf. Inference 10, No. 3, 955--986 (2021; Zbl 1493.62638) Full Text: DOI arXiv
Wang, Bao; Osher, Stan J. Graph interpolating activation improves both natural and robust accuracies in data-efficient deep learning. (English) Zbl 1505.68039 Eur. J. Appl. Math. 32, No. 3, 540-569 (2021). Reviewer: Hongshan Li (Mountain View) MSC: 68T07 PDF BibTeX XML Cite \textit{B. Wang} and \textit{S. J. Osher}, Eur. J. Appl. Math. 32, No. 3, 540--569 (2021; Zbl 1505.68039) Full Text: DOI arXiv
Wen, Jie; Sun, Huijie; Fei, Lunke; Li, Jinxing; Zhang, Zheng; Zhang, Bob Consensus guided incomplete multi-view spectral clustering. (English) Zbl 1475.62198 Neural Netw. 133, 207-219 (2021). MSC: 62H30 PDF BibTeX XML Cite \textit{J. Wen} et al., Neural Netw. 133, 207--219 (2021; Zbl 1475.62198) Full Text: DOI
Jing, Peiguang; Su, Yuting; Li, Zhengnan; Nie, Liqiang Learning robust affinity graph representation for multi-view clustering. (English) Zbl 1475.68276 Inf. Sci. 544, 155-167 (2021). MSC: 68T05 05C50 05C65 62H30 62R30 PDF BibTeX XML Cite \textit{P. Jing} et al., Inf. Sci. 544, 155--167 (2021; Zbl 1475.68276) Full Text: DOI
Jang, Cheongjae; Noh, Yung-Kyun; Park, Frank Chongwoo A Riemannian geometric framework for manifold learning of non-Euclidean data. (English) Zbl 07433034 Adv. Data Anal. Classif., ADAC 15, No. 3, 673-699 (2021). MSC: 53A35 53B21 58C35 58E20 PDF BibTeX XML Cite \textit{C. Jang} et al., Adv. Data Anal. Classif., ADAC 15, No. 3, 673--699 (2021; Zbl 07433034) Full Text: DOI
Li, Ximing; Wang, Yang; Ouyang, Jihong; Wang, Meng Topic extraction from extremely short texts with variational manifold regularization. (English) Zbl 07432829 Mach. Learn. 110, No. 5, 1029-1066 (2021). MSC: 68T05 PDF BibTeX XML Cite \textit{X. Li} et al., Mach. Learn. 110, No. 5, 1029--1066 (2021; Zbl 07432829) Full Text: DOI
Shi, Dai; Gao, Junbin; Hong, Xia; Boris Choy, S. T.; Wang, Zhiyong Coupling matrix manifolds assisted optimization for optimal transport problems. (English) Zbl 07432812 Mach. Learn. 110, No. 3, 533-558 (2021). MSC: 68T05 PDF BibTeX XML Cite \textit{D. Shi} et al., Mach. Learn. 110, No. 3, 533--558 (2021; Zbl 07432812) Full Text: DOI
Bej, Saptarshi; Davtyan, Narek; Wolfien, Markus; Nassar, Mariam; Wolkenhauer, Olaf LoRAS: an oversampling approach for imbalanced datasets. (English) Zbl 07432803 Mach. Learn. 110, No. 2, 279-301 (2021). MSC: 68T05 PDF BibTeX XML Cite \textit{S. Bej} et al., Mach. Learn. 110, No. 2, 279--301 (2021; Zbl 07432803) Full Text: DOI arXiv
Huang, Gengshi; Ma, Zhengming; Luo, Tianshi Dimensionality reduction based on kCCC and manifold learning. (English) Zbl 07432758 J. Math. Imaging Vis. 63, No. 8, 1010-1035 (2021). MSC: 68-XX 94-XX PDF BibTeX XML Cite \textit{G. Huang} et al., J. Math. Imaging Vis. 63, No. 8, 1010--1035 (2021; Zbl 07432758) Full Text: DOI
Oune, Nicholas; Bostanabad, Ramin Latent map Gaussian processes for mixed variable metamodeling. (English) Zbl 1507.62300 Comput. Methods Appl. Mech. Eng. 387, Article ID 114128, 28 p. (2021). MSC: 62M45 60G15 PDF BibTeX XML Cite \textit{N. Oune} and \textit{R. Bostanabad}, Comput. Methods Appl. Mech. Eng. 387, Article ID 114128, 28 p. (2021; Zbl 1507.62300) Full Text: DOI arXiv
Zhang, Yikun; Chen, Yen-Chi Kernel smoothing, mean shift, and their learning theory with directional data. (English) Zbl 07415097 J. Mach. Learn. Res. 22, Paper No. 154, 92 p. (2021). MSC: 68T05 PDF BibTeX XML Cite \textit{Y. Zhang} and \textit{Y.-C. Chen}, J. Mach. Learn. Res. 22, Paper No. 154, 92 p. (2021; Zbl 07415097) Full Text: arXiv Link
Honda, Hirotada Reservoir computing with an inertial form. (English) Zbl 1481.37097 SIAM J. Appl. Dyn. Syst. 20, No. 3, 1320-1347 (2021). MSC: 37M21 37C75 68T05 PDF BibTeX XML Cite \textit{H. Honda}, SIAM J. Appl. Dyn. Syst. 20, No. 3, 1320--1347 (2021; Zbl 1481.37097) Full Text: DOI
Liang, Shaojun; Zhang, Shirong; Sun, Lanqiong Optimal density direction based isometric mapping dimensionality reduction algorithm. (Chinese. English summary) Zbl 1488.68062 Control Theory Appl. 38, No. 4, 467-478 (2021). MSC: 68T09 62H30 62R07 62R30 PDF BibTeX XML Cite \textit{S. Liang} et al., Control Theory Appl. 38, No. 4, 467--478 (2021; Zbl 1488.68062) Full Text: DOI
Dunson, David B.; Wu, Hau-Tieng; Wu, Nan Spectral convergence of graph Laplacian and heat kernel reconstruction in \(L^\infty\) from random samples. (English) Zbl 1472.62178 Appl. Comput. Harmon. Anal. 55, 282-336 (2021). MSC: 62R30 62M15 62G08 62-08 35K08 PDF BibTeX XML Cite \textit{D. B. Dunson} et al., Appl. Comput. Harmon. Anal. 55, 282--336 (2021; Zbl 1472.62178) Full Text: DOI arXiv
Hu, Junying; Sun, Kai; Zhang, Hai Enhancing performance of the back-propagation algorithm based on a novel regularization method of preserving inter-object-distance of data. (English) Zbl 07384787 Int. J. Wavelets Multiresolut. Inf. Process. 19, No. 3, Article ID 2050081, 20 p. (2021). MSC: 68T07 PDF BibTeX XML Cite \textit{J. Hu} et al., Int. J. Wavelets Multiresolut. Inf. Process. 19, No. 3, Article ID 2050081, 20 p. (2021; Zbl 07384787) Full Text: DOI
Tencer, John; Potter, Kevin A tailored convolutional neural network for nonlinear manifold learning of computational physics data using unstructured spatial discretizations. (English) Zbl 1511.35292 SIAM J. Sci. Comput. 43, No. 4, A2581-A2613 (2021). MSC: 35Q35 35Q68 35Q74 35Q79 92B20 68T07 PDF BibTeX XML Cite \textit{J. Tencer} and \textit{K. Potter}, SIAM J. Sci. Comput. 43, No. 4, A2581--A2613 (2021; Zbl 1511.35292) Full Text: DOI arXiv
Mahler, Barbara I. Analysis of contagion maps on a class of networks that are spatially embedded in a torus. (English) Zbl 1467.91120 SIAM J. Appl. Math. 81, No. 4, 1416-1440 (2021). MSC: 91D30 92D30 55N31 05C82 PDF BibTeX XML Cite \textit{B. I. Mahler}, SIAM J. Appl. Math. 81, No. 4, 1416--1440 (2021; Zbl 1467.91120) Full Text: DOI arXiv
Li, Xiao; Chen, Shixiang; Deng, Zengde; Qu, Qing; Zhu, Zhihui; So, Anthony Man-Cho Weakly convex optimization over Stiefel manifold using Riemannian subgradient-type methods. (English) Zbl 1505.65216 SIAM J. Optim. 31, No. 3, 1605-1634 (2021). MSC: 65K05 90C26 90C06 90C60 PDF BibTeX XML Cite \textit{X. Li} et al., SIAM J. Optim. 31, No. 3, 1605--1634 (2021; Zbl 1505.65216) Full Text: DOI arXiv
Kovachki, Nikola B.; Stuart, Andrew M. Continuous time analysis of momentum methods. (English) Zbl 07370534 J. Mach. Learn. Res. 22, Paper No. 17, 40 p. (2021). MSC: 68T05 PDF BibTeX XML Cite \textit{N. B. Kovachki} and \textit{A. M. Stuart}, J. Mach. Learn. Res. 22, Paper No. 17, 40 p. (2021; Zbl 07370534) Full Text: arXiv Link
Cooper, Yaim Global minima of overparameterized neural networks. (English) Zbl 1483.68288 SIAM J. Math. Data Sci. 3, No. 2, 676-691 (2021). MSC: 68T05 PDF BibTeX XML Cite \textit{Y. Cooper}, SIAM J. Math. Data Sci. 3, No. 2, 676--691 (2021; Zbl 1483.68288) Full Text: DOI arXiv
Zhang, Ruda; Ghanem, Roger Normal-bundle bootstrap. (English) Zbl 1475.62292 SIAM J. Math. Data Sci. 3, No. 2, 573-592 (2021). MSC: 62R30 62G09 37M22 53A07 68T05 PDF BibTeX XML Cite \textit{R. Zhang} and \textit{R. Ghanem}, SIAM J. Math. Data Sci. 3, No. 2, 573--592 (2021; Zbl 1475.62292) Full Text: DOI arXiv
Landa, Boris; Coifman, Ronald R.; Kluger, Yuval Doubly stochastic normalization of the Gaussian kernel is robust to heteroskedastic noise. (English) Zbl 1468.62431 SIAM J. Math. Data Sci. 3, No. 1, 388-413 (2021). MSC: 62R07 62G35 62P10 92D20 PDF BibTeX XML Cite \textit{B. Landa} et al., SIAM J. Math. Data Sci. 3, No. 1, 388--413 (2021; Zbl 1468.62431) 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 PDF BibTeX XML Cite \textit{L. Cowen} et al., SIAM J. Math. Data Sci. 3, No. 1, 142--170 (2021; Zbl 1470.60231) Full Text: DOI arXiv
Athreya, Avanti; Tang, Minh; Park, Youngser; Priebe, Carey E. On estimation and inference in latent structure random graphs. (English) Zbl 07368220 Stat. Sci. 36, No. 1, 68-88 (2021). MSC: 62-XX PDF BibTeX XML Cite \textit{A. Athreya} et al., Stat. Sci. 36, No. 1, 68--88 (2021; Zbl 07368220) Full Text: DOI arXiv
Yang, Ting; Zhu, Hengdong; Ma, Yingcang; Wang, Yirui; Yang, Xiaofei Semi-supervised spectral clustering algorithm based on \({L_{2,1}}\) norm and manifold regularization terms. (Chinese. English summary) Zbl 1474.68288 J. Shandong Univ., Nat. Sci. 56, No. 3, 67-76 (2021). MSC: 68T05 62H30 PDF BibTeX XML Cite \textit{T. Yang} et al., J. Shandong Univ., Nat. Sci. 56, No. 3, 67--76 (2021; Zbl 1474.68288)
Ran, Ruisheng; Ren, Yinshan; Zhang, Shougui; Fang, Bin A novel discriminant locality preserving projections method. (English) Zbl 1515.68270 J. Math. Imaging Vis. 63, No. 5, 541-554 (2021). MSC: 68T05 15A16 15A18 68U10 PDF BibTeX XML Cite \textit{R. Ran} et al., J. Math. Imaging Vis. 63, No. 5, 541--554 (2021; Zbl 1515.68270) Full Text: DOI
Hühnerbein, Ruben; Savarino, Fabrizio; Petra, Stefania; Schnörr, Christoph Learning adaptive regularization for image labeling using geometric assignment. (English) Zbl 1516.68080 J. Math. Imaging Vis. 63, No. 2, 186-215 (2021). MSC: 68T05 49K40 62B11 65D18 65J22 90C31 PDF BibTeX XML Cite \textit{R. Hühnerbein} et al., J. Math. Imaging Vis. 63, No. 2, 186--215 (2021; Zbl 1516.68080) Full Text: DOI arXiv
Kanno, Yoshihiro A kernel method for learning constitutive relation in data-driven computational elasticity. (English) Zbl 1466.90099 Japan J. Ind. Appl. Math. 38, No. 1, 39-77 (2021). MSC: 90C30 93E24 49M37 15A18 PDF BibTeX XML Cite \textit{Y. Kanno}, Japan J. Ind. Appl. Math. 38, No. 1, 39--77 (2021; Zbl 1466.90099) Full Text: DOI
Kalogeris, Ioannis; Papadopoulos, Vissarion Diffusion maps-aided neural networks for the solution of parametrized PDEs. (English) Zbl 1506.65180 Comput. Methods Appl. Mech. Eng. 376, Article ID 113568, 24 p. (2021). MSC: 65M99 68T05 PDF BibTeX XML Cite \textit{I. Kalogeris} and \textit{V. Papadopoulos}, Comput. Methods Appl. Mech. Eng. 376, Article ID 113568, 24 p. (2021; Zbl 1506.65180) Full Text: DOI
Samir, Chafik; Huang, Wen Coordinate descent optimization for one-to-one correspondence and supervised classification of 3D shapes. (English) Zbl 1508.65013 Appl. Math. Comput. 388, Article ID 125539, 14 p. (2021). MSC: 65D17 57N25 65D18 68T10 PDF BibTeX XML Cite \textit{C. Samir} and \textit{W. Huang}, Appl. Math. Comput. 388, Article ID 125539, 14 p. (2021; Zbl 1508.65013) Full Text: DOI
Gao, Tingran The diffusion geometry of fibre bundles: horizontal diffusion maps. (English) Zbl 1464.58011 Appl. Comput. Harmon. Anal. 50, 147-215 (2021). Reviewer: Daniel Beltiţă (Bucureşti) MSC: 58J65 58A30 53C17 PDF BibTeX XML Cite \textit{T. Gao}, Appl. Comput. Harmon. Anal. 50, 147--215 (2021; Zbl 1464.58011) Full Text: DOI arXiv
Pauwels, Edouard; Putinar, Mihai; Lasserre, Jean-Bernard Data analysis from empirical moments and the Christoffel function. (English) Zbl 1461.62234 Found. Comput. Math. 21, No. 1, 243-273 (2021). MSC: 62R07 62H12 62M15 62G05 62G07 68T05 58C35 42C05 46E22 47B32 PDF BibTeX XML Cite \textit{E. Pauwels} et al., Found. Comput. Math. 21, No. 1, 243--273 (2021; Zbl 1461.62234) Full Text: DOI arXiv
Zhou, Zhi-Hua Machine learning. (English) Zbl 1479.68001 Singapore: Springer (ISBN 978-981-15-1966-6/hbk; 978-981-15-1967-3/ebook). xiii, 458 p. (2021). Reviewer: Martin Holeňa (Praha) MSC: 68-01 68T05 68T07 PDF BibTeX XML Cite \textit{Z.-H. Zhou}, Machine learning. Singapore: Springer (2021; Zbl 1479.68001) Full Text: DOI
Sober, Barak; Aizenbud, Yariv; Levin, David Approximation of functions over manifolds: a moving least-squares approach. (English) Zbl 1458.62327 J. Comput. Appl. Math. 383, Article ID 113140, 20 p. (2021). MSC: 62R30 41A58 65D15 62-08 PDF BibTeX XML Cite \textit{B. Sober} et al., J. Comput. Appl. Math. 383, Article ID 113140, 20 p. (2021; Zbl 1458.62327) Full Text: DOI arXiv
Chen, Guangfu; Xu, Chen; Wang, Jingyi; Feng, Jianwen; Feng, Jiqiang Robust non-negative matrix factorization for link prediction in complex networks using manifold regularization and sparse learning. (English) Zbl 07572420 Physica A 539, Article ID 122882, 18 p. (2020). MSC: 82-XX PDF BibTeX XML Cite \textit{G. Chen} et al., Physica A 539, Article ID 122882, 18 p. (2020; Zbl 07572420) Full Text: DOI
Mukhopadhyay, Minerva; Li, Didong; Dunson, David B. Estimating densities with non-linear support by using Fisher-Gaussian kernels. (English) Zbl 07554791 J. R. Stat. Soc., Ser. B, Stat. Methodol. 82, No. 5, 1249-1271 (2020). MSC: 62-XX PDF BibTeX XML Cite \textit{M. Mukhopadhyay} et al., J. R. Stat. Soc., Ser. B, Stat. Methodol. 82, No. 5, 1249--1271 (2020; Zbl 07554791) 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 PDF BibTeX XML Cite \textit{S. E. Ahmed} et al., Physica D 409, Article ID 132471, 16 p. (2020; Zbl 1505.76071) Full Text: DOI arXiv
Fefferman, Charles; Ivanov, Sergei; Lassas, Matti; Narayanan, Hariharan Reconstruction of a Riemannian manifold from noisy intrinsic distances. (English) Zbl 1497.60012 SIAM J. Math. Data Sci. 2, No. 3, 770-808 (2020). MSC: 60D05 53C21 35R30 PDF BibTeX XML Cite \textit{C. Fefferman} et al., SIAM J. Math. Data Sci. 2, No. 3, 770--808 (2020; Zbl 1497.60012) Full Text: DOI arXiv
Mhaskar, H. N. A direct approach for function approximation on data defined manifolds. (English) Zbl 1475.68319 Neural Netw. 132, 253-268 (2020). MSC: 68T07 41A10 41A35 62R30 PDF BibTeX XML Cite \textit{H. N. Mhaskar}, Neural Netw. 132, 253--268 (2020; Zbl 1475.68319) Full Text: DOI arXiv