Jeon, Jeong Min; Lee, Young Kyung; Mammen, Enno; Park, Byeong U. Locally polynomial Hilbertian additive regression. (English) Zbl 07526616 Bernoulli 28, No. 3, 2034-2066 (2022). MSC: 62Gxx 62Hxx 62Pxx PDF BibTeX XML Cite \textit{J. M. Jeon} et al., Bernoulli 28, No. 3, 2034--2066 (2022; Zbl 07526616) Full Text: DOI Link OpenURL
Antasik, Aleksander Sampling \(C^1\)-submanifolds of \(\mathbb{H}^n\). (English) Zbl 07523204 Colloq. Math. 168, No. 2, 211-228 (2022). MSC: 53A35 55P10 53Z50 PDF BibTeX XML Cite \textit{A. Antasik}, Colloq. Math. 168, No. 2, 211--228 (2022; Zbl 07523204) Full Text: DOI OpenURL
Zhang, Jingru; Chen, Hao Graph-based two-sample tests for data with repeated observations. (English) Zbl 07484124 Stat. Sin. 32, No. 1, 391-415 (2022). MSC: 62-XX PDF BibTeX XML Cite \textit{J. Zhang} and \textit{H. Chen}, Stat. Sin. 32, No. 1, 391--415 (2022; Zbl 07484124) Full Text: DOI arXiv OpenURL
Lin, Zhenhua; Müller, Hans-Georg Total variation regularized Fréchet regression for metric-space valued data. (English) Zbl 07470045 Ann. Stat. 49, No. 6, 3510-3533 (2021). MSC: 62R20 62R30 62G08 62H12 62G20 94A08 PDF BibTeX XML Cite \textit{Z. Lin} and \textit{H.-G. Müller}, Ann. Stat. 49, No. 6, 3510--3533 (2021; Zbl 07470045) Full Text: DOI arXiv OpenURL
Jeon, Jeong Min; Park, Byeong U.; van Keilegom, Ingrid Additive regression for non-Euclidean responses and predictors. (English) Zbl 07438262 Ann. Stat. 49, No. 5, 2611-2641 (2021). MSC: 62G08 62G20 62R30 PDF BibTeX XML Cite \textit{J. M. Jeon} et al., Ann. Stat. 49, No. 5, 2611--2641 (2021; Zbl 07438262) Full Text: DOI Link OpenURL
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 OpenURL
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 PDF BibTeX XML Cite \textit{D. M. Asta}, J. Multivariate Anal. 181, Article ID 104676, 10 p. (2021; Zbl 1461.62245) Full Text: DOI OpenURL
Jeon, Jeong Min; Park, Byeong U. Additive regression with Hilbertian responses. (English) Zbl 1471.62328 Ann. Stat. 48, No. 5, 2671-2697 (2020). Reviewer: Joseph Melamed (Los Angeles) MSC: 62G08 62G20 PDF BibTeX XML Cite \textit{J. M. Jeon} and \textit{B. U. Park}, Ann. Stat. 48, No. 5, 2671--2697 (2020; Zbl 1471.62328) Full Text: DOI Euclid OpenURL
Saji, Kentaro; Teramoto, Keisuke Dualities of differential geometric invariants on cuspidal edges on flat fronts in the hyperbolic space and the De Sitter space. (English) Zbl 1444.53016 Mediterr. J. Math. 17, No. 2, Paper No. 42, 20 p. (2020). Reviewer: Joseph Malkoun (Hazmieh) MSC: 53A35 53A55 53C42 57R45 PDF BibTeX XML Cite \textit{K. Saji} and \textit{K. Teramoto}, Mediterr. J. Math. 17, No. 2, Paper No. 42, 20 p. (2020; Zbl 1444.53016) Full Text: DOI arXiv OpenURL
Chen, Hao Sequential change-point detection based on nearest neighbors. (English) Zbl 1419.62201 Ann. Stat. 47, No. 3, 1381-1407 (2019). Reviewer: Wiesław Dziubdziela (Miedziana Góra) MSC: 62L10 62G10 60K35 62P25 91D30 PDF BibTeX XML Cite \textit{H. Chen}, Ann. Stat. 47, No. 3, 1381--1407 (2019; Zbl 1419.62201) Full Text: DOI arXiv Euclid OpenURL
Chu, Lynna; Chen, Hao Asymptotic distribution-free change-point detection for multivariate and non-Euclidean data. (English) Zbl 1417.62114 Ann. Stat. 47, No. 1, 382-414 (2019). Reviewer: Wiesław Dziubdziela (Miedziana Góra) MSC: 62G10 62H15 62E20 PDF BibTeX XML Cite \textit{L. Chu} and \textit{H. Chen}, Ann. Stat. 47, No. 1, 382--414 (2019; Zbl 1417.62114) Full Text: DOI arXiv Euclid OpenURL
Dore, Luiz H. G.; Amaral, Getulio J. A.; Cruz, Jorge T. M.; Wood, Andrew T. A. Bias-corrected maximum likelihood estimation of the parameters of the complex Bingham distribution. (English) Zbl 1381.62049 Braz. J. Probab. Stat. 30, No. 3, 385-400 (2016). MSC: 62F10 60E05 62H11 PDF BibTeX XML Cite \textit{L. H. G. Dore} et al., Braz. J. Probab. Stat. 30, No. 3, 385--400 (2016; Zbl 1381.62049) Full Text: DOI Euclid OpenURL
Pigoli, Davide; Menafoglio, Alessandra; Secchi, Piercesare Kriging prediction for manifold-valued random fields. (English) Zbl 1331.62270 J. Multivariate Anal. 145, 117-131 (2016). MSC: 62H11 62F30 PDF BibTeX XML Cite \textit{D. Pigoli} et al., J. Multivariate Anal. 145, 117--131 (2016; Zbl 1331.62270) Full Text: DOI OpenURL
Nodehi, A.; Golalizadeh, M.; Heydari, A. Dihedral angles principal geodesic analysis using nonlinear statistics. (English) Zbl 07269670 J. Appl. Stat. 42, No. 9, 1962-1972 (2015). MSC: 62-XX PDF BibTeX XML Cite \textit{A. Nodehi} et al., J. Appl. Stat. 42, No. 9, 1962--1972 (2015; Zbl 07269670) Full Text: DOI OpenURL
Fotouhi, H.; Golalizadeh, M. Highly resistant gradient descent algorithm for computing intrinsic mean shape on similarity shape spaces. (English) Zbl 1364.62122 Stat. Pap. 56, No. 2, 391-410 (2015). MSC: 62H11 PDF BibTeX XML Cite \textit{H. Fotouhi} and \textit{M. Golalizadeh}, Stat. Pap. 56, No. 2, 391--410 (2015; Zbl 1364.62122) Full Text: DOI OpenURL
Chen, Hao; Zhang, Nancy Graph-based change-point detection. (English) Zbl 1308.62090 Ann. Stat. 43, No. 1, 139-176 (2015). MSC: 62G10 62H99 PDF BibTeX XML Cite \textit{H. Chen} and \textit{N. Zhang}, Ann. Stat. 43, No. 1, 139--176 (2015; Zbl 1308.62090) Full Text: DOI arXiv Euclid OpenURL
Xu, Weiping; Hancock, Edwin R.; Wilson, Richard C. Ricci flow embedding for rectifying non-Euclidean dissimilarity data. (English) Zbl 1373.68359 Pattern Recognition 47, No. 11, 3709-3725 (2014). MSC: 68T10 53C44 68U05 PDF BibTeX XML Cite \textit{W. Xu} et al., Pattern Recognition 47, No. 11, 3709--3725 (2014; Zbl 1373.68359) Full Text: DOI Link OpenURL
Epifanio, Irene H-plots for displaying nonmetric dissimilarity matrices. (English) Zbl 07260357 Stat. Anal. Data Min. 6, No. 2, 136-143 (2013). MSC: 62-XX 68-XX PDF BibTeX XML Cite \textit{I. Epifanio}, Stat. Anal. Data Min. 6, No. 2, 136--143 (2013; Zbl 07260357) Full Text: DOI Link OpenURL
Bigot, Jérémie; Gendre, Xavier Minimax properties of Fréchet means of discretely sampled curves. (English) Zbl 1360.62169 Ann. Stat. 41, No. 2, 923-956 (2013). MSC: 62G08 62G07 62G20 PDF BibTeX XML Cite \textit{J. Bigot} and \textit{X. Gendre}, Ann. Stat. 41, No. 2, 923--956 (2013; Zbl 1360.62169) Full Text: DOI arXiv Euclid OpenURL
Pigoli, Davide; Secchi, Piercesare Estimation of the mean for spatially dependent data belonging to a Riemannian manifold. (English) Zbl 1295.62055 Electron. J. Stat. 6, 1926-1942 (2012). MSC: 62H11 62H12 60B05 60B20 62M40 62P12 PDF BibTeX XML Cite \textit{D. Pigoli} and \textit{P. Secchi}, Electron. J. Stat. 6, 1926--1942 (2012; Zbl 1295.62055) Full Text: DOI Euclid OpenURL
Bhattacharya, Abhishek; Dunson, David Nonparametric Bayes classification and hypothesis testing on manifolds. (English) Zbl 1281.62033 J. Multivariate Anal. 111, 1-19 (2012). MSC: 62C10 62F15 62G10 62G20 PDF BibTeX XML Cite \textit{A. Bhattacharya} and \textit{D. Dunson}, J. Multivariate Anal. 111, 1--19 (2012; Zbl 1281.62033) Full Text: DOI OpenURL
Kenobi, Kim; Dryden, Ian L.; Le, Huiling Shape curves and geodesic modelling. (English) Zbl 1195.62110 Biometrika 97, No. 3, 567-584 (2010). MSC: 62H99 62H11 62H25 62H12 62H10 62P10 PDF BibTeX XML Cite \textit{K. Kenobi} et al., Biometrika 97, No. 3, 567--584 (2010; Zbl 1195.62110) Full Text: DOI OpenURL
Laub, Julian; Roth, Volker; Buhmann, Joachim M.; Müller, Klaus-Robert On the information and representation of non-Euclidean pairwise data. (English) Zbl 1096.68721 Pattern Recognition 39, No. 10, 1815-1826 (2006). MSC: 68T10 68P05 PDF BibTeX XML Cite \textit{J. Laub} et al., Pattern Recognition 39, No. 10, 1815--1826 (2006; Zbl 1096.68721) Full Text: DOI OpenURL
Healy, Dennis M. jun.; Kim, Peter T. An empirical Bayes approach to directional data and efficient computation on the sphere. (English) Zbl 0856.62010 Ann. Stat. 24, No. 1, 232-254 (1996). MSC: 62C12 62G05 65T50 58J50 62H11 PDF BibTeX XML Cite \textit{D. M. Healy jun.} and \textit{P. T. Kim}, Ann. Stat. 24, No. 1, 232--254 (1996; Zbl 0856.62010) Full Text: DOI OpenURL
Ellis, Steven P. Topological aspects of the location problem for directional and axial data. (English) Zbl 0743.62001 Int. Stat. Rev. 59, No. 3, 389-394 (1991). MSC: 62-07 62H99 PDF BibTeX XML Cite \textit{S. P. Ellis}, Int. Stat. Rev. 59, No. 3, 389--394 (1991; Zbl 0743.62001) Full Text: DOI OpenURL
Phillips, Ralph; Wiskott, Bettina; Woo, Alex Scattering theory for the wave equation on a hyperbolic manifold. (English) Zbl 0657.35105 J. Funct. Anal. 74, 346-398 (1987). MSC: 35P25 35B30 35B20 PDF BibTeX XML Cite \textit{R. Phillips} et al., J. Funct. Anal. 74, 346--398 (1987; Zbl 0657.35105) Full Text: DOI OpenURL
Farebrother, R. W. Three theorems with applications to Euclidean distance matrices. (English) Zbl 0627.15008 Linear Algebra Appl. 95, 11-16 (1987). MSC: 15B57 62H30 PDF BibTeX XML Cite \textit{R. W. Farebrother}, Linear Algebra Appl. 95, 11--16 (1987; Zbl 0627.15008) Full Text: DOI OpenURL
Gower, J. C. Properties of Euclidean and non-Euclidean distance matrices. (English) Zbl 0569.15016 Linear Algebra Appl. 67, 81-97 (1985). Reviewer: N.Young MSC: 15B57 62H30 PDF BibTeX XML Cite \textit{J. C. Gower}, Linear Algebra Appl. 67, 81--97 (1985; Zbl 0569.15016) Full Text: DOI OpenURL
Kaplunovich, G. Ya. Existence of a convex surface with the given density of integral extrinsic curvature in an elliptic space. (Russian) Zbl 0544.53008 Modern geometry (Investigations on differential geometry), Interuniv. Collect. sci. Works, Leningrad 1981, 89-96 (1981). Reviewer: V.Oliker MSC: 53A35 53C45 PDF BibTeX XML OpenURL
Kaplunovich, G. Ya. On the question of existence of a regular convex surface with the given integral extrinsic curvature in an elliptic space. (Russian) Zbl 0544.53007 Modern geometry (Investigations on differential geometry), Interuniv. Collect. sci. Works, Leningrad 1981, 85-88 (1981). Reviewer: V.Oliker MSC: 53A35 53C45 PDF BibTeX XML OpenURL