Probability, Convexity, and Harmonic Maps with Small Image I: Uniqueness and Fine Existence

On an intrinsic bias measure

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Reflected BSDEs in non-convex domains

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MOSHFIT: Algorithms for occlusion-tolerant mean shape and rigid motion from 3D movement data

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Exit probability estimates for martingales in geodesic balls, using curvature

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Two-stage appearance-based re-identification of humans in low-resolution videos

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Differential Geometry for Model Independent Analysis of Images and Other Non-Euclidean Data: Recent Developments

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Nonparametric Analysis of Non-Euclidean Data on Shapes and Images

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A Nonparametric Theory of Statistics on Manifolds

Bhattacharya, R. N. (2013) · Springer proceedings in mathematics & statistics · doi:10.1007/978-3-642-36068-8_9 · Cited by 3

Variational regularization of inverse problems for manifold-valued data

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Sequence Dependent Elasticity of DNA

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Intrinsic Location Parameter of a Diffusion Process

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Statistical models and probabilistic methods on Riemannian manifoldsPreprint

Said, S. (2021) · arXiv (Cornell University) · doi:10.48550/arxiv.2101.10855 · Cited by 3

Differential Privacy Over Riemannian ManifoldsPreprint

Reimherr, M. L., Bharath, K., & Soto, C. J. (2021) · arXiv (Cornell University) · doi:10.48550/arxiv.2111.02516 · Cited by 3

Statistical shape analysis of the anatomical variability of the human hippocampus in large populations.

Cury, C. (2015) · theses.fr (ABES) · doi:10.70675/e41d9131z7987z416bza018z316cdcb7ec4a · Cited by 3

Statistics on Lie groups: A need to go beyond the pseudo-Riemannian framework

Miolane, N., & Pennec, X. (2015) · AIP conference proceedings · doi:10.1063/1.4905963 · Cited by 2

A probabilistic representation for heat flow of harmonic map on manifolds with time-dependent Riemannian metric

Chen, X., & Ye, W. (2021) · Statistics & Probability Letters · doi:10.1016/j.spl.2021.109165 · Cited by 2

Liouville theorems for harmonic map heat flow along ancient super Ricci flow via reduced geometry

Kunikawa, K., & Sakurai, Y. (2021) · Calculus of Variations and Partial Differential Equations · doi:10.1007/s00526-021-02079-2 · Cited by 2

Tangent Phylogenetic PCA

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Regularizing Orientation Estimation in Cryogenic Electron Microscopy Three-Dimensional Map Refinement through Measure-Based Lifting over Riemannian Manifolds

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On the Spherical Laplace Distribution

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Liouville theorem for V -harmonic maps under non-negative (m,V) -Ricci curvature for non-positive m

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Segmentation on statistical manifold with watershed transform

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Properties of complex-valued power means of random variables and their applications

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Robust tracking of people in crowds with covariance descriptors

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Geodesic Regression and Its Application to Shape Analysis

Fletcher, P. T. (2012) · Mathematics and visualization · doi:10.1007/978-3-642-34141-0_2 · Cited by 2

Topologically Constrained Template Estimation via Morse--Smale Complexes Controls Its Statistical Consistency

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Short retractions of CAT(1) spaces

Lytchak, A., & Petrunin, A. (2020) · Proceedings of the American Mathematical Society · doi:10.1090/proc/15268 · Cited by 2

A characterization of solutions of quadratic BSDEs and a new approach to existence

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Non-smooth Variational Regularization for Processing Manifold-Valued Data

Höller, M., & Weinmann, A. (2020) · Springer eBooks · doi:10.1007/978-3-030-31351-7_2 · Cited by 2

Quasiconformal harmonic maps into negatively curved manifolds

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Some properties of Fréchet medians in Riemannian manifoldsPreprint

Yang, L. (2011) · arXiv (Cornell University) · doi:10.48550/arxiv.1110.3899 · Cited by 2

Riemannian simplices and triangulationsPreprint

Dyer, R., Vegter, G., & Wintraecken, M. (2014) · arXiv (Cornell University) · doi:10.48550/arxiv.1406.3740 · Cited by 2

Quotient Geometry of Bounded or Fixed-Rank Correlation Matrices

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Learning over von Mises–Fisher distributions via a Wasserstein-like geometry

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Search using social media structures

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A comment to “Statistics on manifolds and landmark based image analysis: A nonparametric theory with applications”

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Computations on the grassmann manifold and affine-permutation invariance in shape representation

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Asymptotics for High Dimension, Low Sample Size data and Analysis of Data on Manifolds

Jung, S. (2019) · Carolina Digital Repository (University of North Carolina at Chapel Hill) · doi:10.17615/hj79-y184 · Cited by 1

Intrinsic point-based surface processing

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Efficient recursive estimation of the Riemannian barycenter on the hypersphere and the special orthogonal group with applications

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SHORT RETRACTIONS OF CAT(1) SPACES

Lytchak, A., & Petrunin, A. (2021) · Kölner Universitäts PublikationsServer (Universität zu Köln) · Cited by 1

Coupling, Regularity and Curvature

Sturm, K. (2005) · Springer eBooks · doi:10.1007/3-540-27110-4_14 · Cited by 1

Intrinsic semi-parametric regression model on Grassmannian manifolds with applications

Sheng, X., Xiong, D., & Ying, S. (2022) · Communications in Statistics - Simulation and Computation · doi:10.1080/03610918.2022.2112961 · Cited by 1

Nonparametric Statistics on Manifolds and Beyond

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Comments on: Recent advances in directional statistics

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Human detection in MOUT scenarios using covariance descriptors and supervised manifold learning

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Means in complete manifolds: uniqueness and approximationPreprint

Arnaudon, M., & Miclo, L. (2012) · arXiv (Cornell University) · doi:10.48550/arxiv.1207.3232 · Cited by 1

Nonparametric Bayesian Models for Supervised Dimension Reduction and Regression

Mao, K. (2009) · DukeSpace (Duke University) · Cited by 1

Statistics on Placenta Shapes

Bhattacharya, A. (2007) · Cited by 1

Intrinsic computation of voronoi diagrams on surfaces and its application

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Intrinsic Variance Lower Bound (IVLB) for Unbiased Estimators on Riemannian Manifolds. Part I: Theory

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Jensen's inequality in geodesic spaces with lower bounded curvaturePreprint

Paris, Q. (2020) · arXiv (Cornell University) · doi:10.48550/arxiv.2011.08597 · Cited by 1

Contributions à la segmentation non supervisée d'images hyperspectrales : trois approches algébriques et géométriques

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Markov Semigroups and Harmonic Maps

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Rejoinder to the Discussion

Bhattacharya, R. N., & Patrangenaru, V. (2013) · Journal of Statistical Planning and Inference · doi:10.1016/j.jspi.2013.08.006

POLYNOMIAL GROWTH HARMONIC MAPS ON COMPLETE RIEMANNIAN MANIFOLDS

Lee, Y.-H. (2004) · Bulletin of the Korean Mathematical Society · doi:10.4134/bkms.2004.41.3.521

NONPARAMETRIC INFERENCE ON NON-EUCLIDEAN SPACESPreprint

Bhattacharya, R. N., & Lin, L. (2015) · arXiv (Cornell University)

Riemannian Optimization for Averaging Positive Definite

Jeuris, B., Vandebril, R., & Nicaise, J. (2015)

Mouvements browniens et applications harmoniques

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Bayesian models on manifolds for image registration and statistical shape analysis

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Barycentric Subspaces Analysis on Spheres

Pennec, X. (2015) · HAL

Discrete-time gradient flows and law of large numbers in Alexandrov spacesPreprint

Ohta, S., & Pálfia, M. (2014) · arXiv (Cornell University) · doi:10.48550/arxiv.1402.1629

Uniqueness of the Boundary Value Problem of Harmonic Maps via Harmonic Boundary

Lee, Y. H. (2019) · Bulletin of the Malaysian Mathematical Sciences Society · doi:10.1007/s40840-019-00830-9

A Geometric Approach to Average Problems on Multinomial and Negative Multinomial Models

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Harmonic Map Heat Flow generated by Markovian Semigroups

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Persistent Homology

Patrangenaru, V., & Ellingson, L. (2015) · CRC Press eBooks · doi:10.1201/b18969-33

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