Vaughn, Ryan; Berry, Tyrus; Antil, Harbir Diffusion maps for embedded manifolds with boundary with applications to PDEs. (English) Zbl 07796943 Appl. Comput. Harmon. Anal. 68, Article ID 101593, 29 p. (2024). MSC: 65N21 58J05 62G07 68T05 PDFBibTeX XMLCite \textit{R. Vaughn} et al., Appl. Comput. Harmon. Anal. 68, Article ID 101593, 29 p. (2024; Zbl 07796943) Full Text: DOI arXiv
Gao, Jia-Xing; Jiang, Da-Quan; Qian, Min-Ping Multivariate locally adaptive kernel density estimation. (English) Zbl 07773973 Commun. Stat., Simulation Comput. 52, No. 9, 4431-4444 (2023). MSC: 62-XX PDFBibTeX XMLCite \textit{J.-X. Gao} et al., Commun. Stat., Simulation Comput. 52, No. 9, 4431--4444 (2023; Zbl 07773973) Full Text: DOI
Jiao, Yuling; Shen, Guohao; Lin, Yuanyuan; Huang, Jian Deep nonparametric regression on approximate manifolds: nonasymptotic error bounds with polynomial prefactors. (English) Zbl 07714177 Ann. Stat. 51, No. 2, 691-716 (2023). MSC: 62G05 62G08 68T07 PDFBibTeX XMLCite \textit{Y. Jiao} et al., Ann. Stat. 51, No. 2, 691--716 (2023; Zbl 07714177) Full Text: DOI arXiv
Davis, Andrew D.; Giannakis, Dimitrios Graph-theoretic algorithms for Kolmogorov operators: approximating solutions and their gradients in elliptic and parabolic problems on manifolds. (English) Zbl 1514.62372 Calcolo 60, No. 1, Paper No. 5, 32 p. (2023). MSC: 62R30 62G07 05C50 62-08 68T05 PDFBibTeX XMLCite \textit{A. D. Davis} and \textit{D. Giannakis}, Calcolo 60, No. 1, Paper No. 5, 32 p. (2023; Zbl 1514.62372) Full Text: DOI arXiv
Chevallier, Emmanuel; Li, Didong; Lu, Yulong; Dunson, David Exponential-wrapped distributions on symmetric spaces. (English) Zbl 1517.62101 SIAM J. Math. Data Sci. 4, No. 4, 1347-1368 (2022). Reviewer: Dongsheng Tu (Kingston) MSC: 62R30 53Z50 53C35 PDFBibTeX XMLCite \textit{E. Chevallier} et al., SIAM J. Math. Data Sci. 4, No. 4, 1347--1368 (2022; Zbl 1517.62101) Full Text: DOI arXiv
Jeon, Jeong Min; Park, Byeong U.; van Keilegom, Ingrid Nonparametric regression on Lie groups with measurement errors. (English) Zbl 07628848 Ann. Stat. 50, No. 5, 2973-3008 (2022). MSC: 62G08 62G20 PDFBibTeX XMLCite \textit{J. M. Jeon} et al., Ann. Stat. 50, No. 5, 2973--3008 (2022; Zbl 07628848) Full Text: DOI
Cleanthous, Galatia; Georgiadis, Athanasios G.; Porcu, Emilio Oracle inequalities and upper bounds for kernel density estimators on manifolds and more general metric spaces. (English) Zbl 07622176 J. Nonparametric Stat. 34, No. 4, 734-757 (2022). MSC: 62G07 62G05 53A35 58J35 PDFBibTeX XMLCite \textit{G. Cleanthous} et al., J. Nonparametric Stat. 34, No. 4, 734--757 (2022; Zbl 07622176) Full Text: DOI
Amoussou, Amour T. Gbaguidi; Moussa, Freedath Djibril; Ogouyandjou, Carlos; Diop, Mamadou Abdoul Nonparametric estimation for stationary and strongly mixing processes on Riemannian manifolds. (English) Zbl 07621108 Commun. Math. Stat. 10, No. 4, 599-621 (2022). MSC: 62G05 62G20 62M09 PDFBibTeX XMLCite \textit{A. T. G. Amoussou} et al., Commun. Math. Stat. 10, No. 4, 599--621 (2022; Zbl 07621108) Full Text: DOI
Webber, James; Hussey, Erika; Miller, Eric; Aeron, Shuchin On non-parametric density estimation on linear and non-linear manifolds using generalized Radon transforms. (English) Zbl 07613959 Commun. Stat., Theory Methods 51, No. 23, 8406-8426 (2022). MSC: 68Q25 68R10 68U05 PDFBibTeX XMLCite \textit{J. Webber} et al., Commun. Stat., Theory Methods 51, No. 23, 8406--8426 (2022; Zbl 07613959) Full Text: DOI arXiv
Arnone, Eleonora; Ferraccioli, Federico; Pigolotti, Clara; Sangalli, Laura M. A roughness penalty approach to estimate densities over two-dimensional manifolds. (English) Zbl 07561889 Comput. Stat. Data Anal. 174, Article ID 107527, 14 p. (2022). MSC: 62-XX PDFBibTeX XMLCite \textit{E. Arnone} et al., Comput. Stat. Data Anal. 174, Article ID 107527, 14 p. (2022; Zbl 07561889) Full Text: DOI
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 PDFBibTeX XMLCite \textit{J.-X. Gao} et al., J. Stat. Comput. Simulation 92, No. 11, 2317--2331 (2022; Zbl 07551356) Full Text: DOI
Divol, Vincent Measure estimation on manifolds: an optimal transport approach. (English) Zbl 07529635 Probab. Theory Relat. Fields 183, No. 1-2, 581-647 (2022). MSC: 62G05 49Q22 62C20 PDFBibTeX XMLCite \textit{V. Divol}, Probab. Theory Relat. Fields 183, No. 1--2, 581--647 (2022; Zbl 07529635) Full Text: DOI arXiv
Ouimet, Frédéric A symmetric matrix-variate normal local approximation for the Wishart distribution and some applications. (English) Zbl 1520.62051 J. Multivariate Anal. 189, Article ID 104923, 17 p. (2022). MSC: 62H10 62E20 62G07 62H12 PDFBibTeX XMLCite \textit{F. Ouimet}, J. Multivariate Anal. 189, Article ID 104923, 17 p. (2022; Zbl 1520.62051) Full Text: DOI arXiv Link
Khardani, Salah; Yao, Anne Françoise Nonparametric recursive regression estimation on Riemannian manifolds. (English) Zbl 1478.62386 Stat. Probab. Lett. 182, Article ID 109274, 10 p. (2022). MSC: 62R30 62G07 62G08 62G20 62L20 PDFBibTeX XMLCite \textit{S. Khardani} and \textit{A. F. Yao}, Stat. Probab. Lett. 182, Article ID 109274, 10 p. (2022; Zbl 1478.62386) Full Text: DOI
Jeon, Jeong Min; Park, Byeong U.; van Keilegom, Ingrid Additive regression for non-Euclidean responses and predictors. (English) Zbl 1486.62109 Ann. Stat. 49, No. 5, 2611-2641 (2021). MSC: 62G08 62G20 62R30 PDFBibTeX XMLCite \textit{J. M. Jeon} et al., Ann. Stat. 49, No. 5, 2611--2641 (2021; Zbl 1486.62109) Full Text: DOI Link
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 PDFBibTeX XMLCite \textit{C. Jang} et al., Adv. Data Anal. Classif., ADAC 15, No. 3, 673--699 (2021; Zbl 07433034) Full Text: DOI
Pewsey, Arthur; García-Portugués, Eduardo Recent advances in directional statistics. (English) Zbl 1474.62467 Test 30, No. 1, 1-58 (2021). MSC: 62R30 62H11 62H30 62M10 62M30 62-02 62-04 PDFBibTeX XMLCite \textit{A. Pewsey} and \textit{E. García-Portugués}, Test 30, No. 1, 1--58 (2021; Zbl 1474.62467) 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 PDFBibTeX XMLCite \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
Berenfeld, Clément; Hoffmann, Marc Density estimation on an unknown submanifold. (English) Zbl 1471.62564 Electron. J. Stat. 15, No. 1, 2179-2223 (2021). MSC: 62R30 62G05 62G07 PDFBibTeX XMLCite \textit{C. Berenfeld} and \textit{M. Hoffmann}, Electron. J. Stat. 15, No. 1, 2179--2223 (2021; Zbl 1471.62564) Full Text: DOI arXiv
Hielscher, Ralf; Lippert, Laura Locally isometric embeddings of quotients of the rotation group modulo finite symmetries. (English) Zbl 1470.62064 J. Multivariate Anal. 185, Article ID 104764, 19 p. (2021). MSC: 62H11 62R40 57R40 PDFBibTeX XMLCite \textit{R. Hielscher} and \textit{L. Lippert}, J. Multivariate Anal. 185, Article ID 104764, 19 p. (2021; Zbl 1470.62064) Full Text: DOI arXiv
Asta, Dena Marie Kernel density estimation on symmetric spaces of non-compact type. (English) Zbl 1461.62245 J. Multivariate Anal. 181, Article ID 104676, 10 p. (2021). MSC: 62R40 62G07 43-04 PDFBibTeX XMLCite \textit{D. M. Asta}, J. Multivariate Anal. 181, Article ID 104676, 10 p. (2021; Zbl 1461.62245) Full Text: DOI
Ki, Dohyeong; Park, Byeong U. Intrinsic Hölder classes of density functions on Riemannian manifolds and lower bounds to convergence rates. (English) Zbl 1456.62059 Stat. Probab. Lett. 169, Article ID 108959, 7 p. (2021). MSC: 62G07 62G20 62R30 PDFBibTeX XMLCite \textit{D. Ki} and \textit{B. U. Park}, Stat. Probab. Lett. 169, Article ID 108959, 7 p. (2021; Zbl 1456.62059) Full Text: DOI
Cleanthous, Galatia; Georgiadis, Athanasios G.; Kerkyacharian, Gerard; Petrushev, Pencho; Picard, Dominique Kernel and wavelet density estimators on manifolds and more general metric spaces. (English) Zbl 1439.62097 Bernoulli 26, No. 3, 1832-1862 (2020). MSC: 62G07 62R30 62R20 35K08 42C40 PDFBibTeX XMLCite \textit{G. Cleanthous} et al., Bernoulli 26, No. 3, 1832--1862 (2020; Zbl 1439.62097) Full Text: DOI arXiv Euclid
Bhattacharya, Rabi; Lin, Lizhen Differential geometry for model independent analysis of images and other non-Euclidean data: recent developments. (English) Zbl 1443.62070 Sidoravicius, Vladas (ed.), Sojourns in probability theory and statistical physics. II. Brownian web and percolation, a festschrift for Charles M. Newman. Singapore: Springer; Shanghai: NYU Shanghai. Springer Proc. Math. Stat. 299, 1-43 (2019). MSC: 62G05 62H35 62R30 57N25 PDFBibTeX XMLCite \textit{R. Bhattacharya} and \textit{L. Lin}, Springer Proc. Math. Stat. 299, 1--43 (2019; Zbl 1443.62070) Full Text: DOI arXiv
Bhattacharya, Rabi; Oliver, Rachel Nonparametric analysis of non-Euclidean data on shapes and images. (English) Zbl 1418.60014 Sankhyā, Ser. A 81, No. 1, 1-36 (2019). MSC: 60F05 62E20 60E05 62G20 PDFBibTeX XMLCite \textit{R. Bhattacharya} and \textit{R. Oliver}, Sankhyā, Ser. A 81, No. 1, 1--36 (2019; Zbl 1418.60014) Full Text: DOI
Lin, Lizhen; Mu, Niu; Cheung, Pokman; Dunson, David Extrinsic Gaussian processes for regression and classification on manifolds. (English) Zbl 1421.62075 Bayesian Anal. 14, No. 3, 887-906 (2019). MSC: 62H30 62H35 60G15 62P10 51M35 PDFBibTeX XMLCite \textit{L. Lin} et al., Bayesian Anal. 14, No. 3, 887--906 (2019; Zbl 1421.62075) Full Text: DOI arXiv Euclid
Brégier, Romain; Devernay, Frédéric; Leyrit, Laetitia; Crowley, James L. Defining the pose of any 3D rigid object and an associated distance. (English) Zbl 1458.68264 Int. J. Comput. Vis. 126, No. 6, 571-596 (2018). MSC: 68U05 68T45 PDFBibTeX XMLCite \textit{R. Brégier} et al., Int. J. Comput. Vis. 126, No. 6, 571--596 (2018; Zbl 1458.68264) Full Text: DOI arXiv
Simo-Serra, Edgar; Torras, Carme; Moreno-Noguer, Francesc 3D human pose tracking priors using geodesic mixture models. (English) Zbl 1458.68252 Int. J. Comput. Vis. 122, No. 2, 388-408 (2017). MSC: 68T45 62H30 62R30 68T05 70B99 PDFBibTeX XMLCite \textit{E. Simo-Serra} et al., Int. J. Comput. Vis. 122, No. 2, 388--408 (2017; Zbl 1458.68252) Full Text: DOI Link
Alonso-Ruiz, P.; Spodarev, E. Estimation of entropy for Poisson marked point processes. (English) Zbl 1426.62282 Adv. Appl. Probab. 49, No. 1, 258-278 (2017). MSC: 62M30 60G55 62G07 62G20 60F05 PDFBibTeX XMLCite \textit{P. Alonso-Ruiz} and \textit{E. Spodarev}, Adv. Appl. Probab. 49, No. 1, 258--278 (2017; Zbl 1426.62282) Full Text: DOI arXiv
Berry, Tyrus; Sauer, Timothy Density estimation on manifolds with boundary. (English) Zbl 1466.62029 Comput. Stat. Data Anal. 107, 1-17 (2017). MSC: 62-08 62G07 68T05 PDFBibTeX XMLCite \textit{T. Berry} and \textit{T. Sauer}, Comput. Stat. Data Anal. 107, 1--17 (2017; Zbl 1466.62029) Full Text: DOI arXiv
Chevallier, Emmanuel; Kalunga, Emmanuel; Angulo, Jesús Kernel density estimation on spaces of Gaussian distributions and symmetric positive definite matrices. (English) Zbl 1422.62136 SIAM J. Imaging Sci. 10, No. 1, 191-215 (2017). MSC: 62G07 62P10 62H10 53Z05 62E15 PDFBibTeX XMLCite \textit{E. Chevallier} et al., SIAM J. Imaging Sci. 10, No. 1, 191--215 (2017; Zbl 1422.62136) Full Text: DOI
Srivastava, Anuj; Turaga, Pavan K. Welcome to Riemannian computing in computer vision. (English) Zbl 1357.68254 Turaga, Pavan K. (ed.) et al., Riemannian computing in computer vision. Cham: Springer (ISBN 978-3-319-22956-0/hbk; 978-3-319-22957-7/ebook). 1-18 (2016). MSC: 68T45 53C21 62H11 PDFBibTeX XMLCite \textit{A. Srivastava} and \textit{P. K. Turaga}, in: Riemannian computing in computer vision. Cham: Springer. 1--18 (2016; Zbl 1357.68254) Full Text: DOI
Pham, Minh-Tri; Woodford, Oliver J.; Perbet, Frank; Maki, Atsuto; Gherardi, Riccardo; Stenger, Björn; Cipolla, Roberto Distances and means of direct similarities. (English) Zbl 1398.68623 Int. J. Comput. Vis. 112, No. 3, 285-306 (2015). MSC: 68U05 68T45 PDFBibTeX XMLCite \textit{M.-T. Pham} et al., Int. J. Comput. Vis. 112, No. 3, 285--306 (2015; Zbl 1398.68623) Full Text: DOI Link
Bates, Jonathan; Mio, Washington Density estimators of Gaussian type on closed Riemannian manifolds. (English) Zbl 1310.62047 J. Math. Imaging Vis. 50, No. 1-2, 53-59 (2014). MSC: 62G07 58A30 58J35 62G20 94A08 94A12 94A15 PDFBibTeX XMLCite \textit{J. Bates} and \textit{W. Mio}, J. Math. Imaging Vis. 50, No. 1--2, 53--59 (2014; Zbl 1310.62047) Full Text: DOI
Bhattacharya, Rabi; Patrangenaru, Vic Rejoinder to the discussion. (English) Zbl 1432.62147 J. Stat. Plann. Inference 145, 42-48 (2014). MSC: 62G99 62R30 62P99 PDFBibTeX XMLCite \textit{R. Bhattacharya} and \textit{V. Patrangenaru}, J. Stat. Plann. Inference 145, 42--48 (2014; Zbl 1432.62147) Full Text: DOI
Bhattacharya, Rabi; Patrangenaru, Vic Statistics on manifolds and landmarks based image analysis: a nonparametric theory with applications. (English) Zbl 1278.62068 J. Stat. Plann. Inference 145, 1-22 (2014). MSC: 62G99 62R30 62P99 PDFBibTeX XMLCite \textit{R. Bhattacharya} and \textit{V. Patrangenaru}, J. Stat. Plann. Inference 145, 1--22 (2014; Zbl 1278.62068) Full Text: DOI
Hielscher, Ralf Kernel density estimation on the rotation group and its application to crystallographic texture analysis. (English) Zbl 1277.62105 J. Multivariate Anal. 119, 119-143 (2013). MSC: 62G07 62G20 82D25 62H99 65C60 PDFBibTeX XMLCite \textit{R. Hielscher}, J. Multivariate Anal. 119, 119--143 (2013; Zbl 1277.62105) Full Text: DOI
Pham, Minh-Tri; Woodford, Oliver J.; Perbet, Frank; Maki, Atsuto; Gherardi, Riccardo; Stenger, Björn; Cipolla, Roberto Scale-invariant vote-based 3D recognition and registration from point clouds. (English) Zbl 1251.68269 Cipolla, Roberto (ed.) et al., Machine learning for computer vision. Selected papers based on the presentations at the international computer vision summer school (ICVSS 2012), Sicily, Italy, July 7–15, 2012. Berlin: Springer (ISBN 978-3-642-28660-5/hbk; 978-3-642-28661-2/ebook). Studies in Computational Intelligence 411, 137-162 (2013). MSC: 68T45 68U05 PDFBibTeX XMLCite \textit{M.-T. Pham} et al., Stud. Comput. Intell. 411, 137--162 (2013; Zbl 1251.68269) Full Text: DOI
Kurtek, Sebastian; Srivastava, Anuj; Klassen, Eric; Ding, Zhaohua Statistical modeling of curves using shapes and related features. (English) Zbl 1443.62389 J. Am. Stat. Assoc. 107, No. 499, 1152-1165 (2012). MSC: 62P10 PDFBibTeX XMLCite \textit{S. Kurtek} et al., J. Am. Stat. Assoc. 107, No. 499, 1152--1165 (2012; Zbl 1443.62389) Full Text: DOI
Caseiro, Rui; Martins, Pedro; Henriques, João F.; Batista, Jorge A nonparametric Riemannian framework on tensor field with application to foreground segmentation. (English) Zbl 1242.68348 Pattern Recognition 45, No. 11, 3997-4017 (2012). MSC: 68T45 62G07 68U05 PDFBibTeX XMLCite \textit{R. Caseiro} et al., Pattern Recognition 45, No. 11, 3997--4017 (2012; Zbl 1242.68348) Full Text: DOI
Fajardo, Jesús A.; Ríos, Ricardo R.; Rodríguez, Luis A. Properties of convergence of a fuzzy set estimator of the density function. (English) Zbl 1235.62038 Braz. J. Probab. Stat. 26, No. 2, 208-217 (2012). MSC: 62G07 62G86 60F15 62G20 PDFBibTeX XMLCite \textit{J. A. Fajardo} et al., Braz. J. Probab. Stat. 26, No. 2, 208--217 (2012; Zbl 1235.62038) Full Text: DOI Euclid
Hall, Peter; Yatchew, Adonis Nonparametric least squares estimation in derivative families. (English) Zbl 1431.62156 J. Econom. 157, No. 2, 362-374 (2010). MSC: 62G08 62G05 62G20 PDFBibTeX XMLCite \textit{P. Hall} and \textit{A. Yatchew}, J. Econom. 157, No. 2, 362--374 (2010; Zbl 1431.62156) Full Text: DOI
Henry, Guillermo; Rodriguez, Daniela Kernel density estimation on Riemannian manifolds: asymptotic results. (English) Zbl 1490.62513 J. Math. Imaging Vis. 34, No. 3, 235-239 (2009). MSC: 62R30 62G07 62E20 PDFBibTeX XMLCite \textit{G. Henry} and \textit{D. Rodriguez}, J. Math. Imaging Vis. 34, No. 3, 235--239 (2009; Zbl 1490.62513) Full Text: DOI
Subbarao, Raghav; Meer, Peter Nonlinear mean shift over Riemannian manifolds. (English) Zbl 1477.68426 Int. J. Comput. Vis. 84, No. 1, 1-20 (2009). MSC: 68T45 62G07 62R30 68U10 PDFBibTeX XMLCite \textit{R. Subbarao} and \textit{P. Meer}, Int. J. Comput. Vis. 84, No. 1, 1--20 (2009; Zbl 1477.68426) Full Text: DOI
Baldi, P.; Kerkyacharian, G.; Marinucci, D.; Picard, D. Adaptive density estimation for directional data using needlets. (English) Zbl 1369.62061 Ann. Stat. 37, No. 6A, 3362-3395 (2009). MSC: 62G07 62G20 65T60 PDFBibTeX XMLCite \textit{P. Baldi} et al., Ann. Stat. 37, No. 6A, 3362--3395 (2009; Zbl 1369.62061) Full Text: DOI arXiv
Henry, Guillermo; Rodriguez, Daniela Robust nonparametric regression on Riemannian manifolds. (English) Zbl 1165.62030 J. Nonparametric Stat. 21, No. 5, 611-628 (2009). MSC: 62G08 62G35 53B21 65C05 62G20 PDFBibTeX XMLCite \textit{G. Henry} and \textit{D. Rodriguez}, J. Nonparametric Stat. 21, No. 5, 611--628 (2009; Zbl 1165.62030) Full Text: DOI