Nonparametric Bayesian density estimation on manifolds with applications to planar shapes
From MaRDI portal
Publication:3067012
DOI10.1093/biomet/asq044zbMath1204.62053OpenAlexW2083599041WikidataQ36021770 ScholiaQ36021770MaRDI QIDQ3067012
Abhishek Bhattacharya, David B. Dunson
Publication date: 20 January 2011
Published in: Biometrika (Search for Journal in Brave)
Full work available at URL: http://europepmc.org/articles/pmc3371720
discriminant analysisRiemannian manifoldmetric spacenonparametric BayesDirichlet process mixtureposterior consistencyKullback-Leibler propertyplanar shape space
Density estimation (62G07) Classification and discrimination; cluster analysis (statistical aspects) (62H30) Nonparametric estimation (62G05) Bayesian inference (62F15)
Related Items
Nonparametric density estimation and bandwidth selection with B-spline bases: a novel Galerkin method, Strong consistency of nonparametric Bayes density estimation on compact metric spaces with applications to specific manifolds, Statistics on manifolds and landmarks based image analysis: a nonparametric theory with applications, Rejoinder to the discussion, Adaptive rates of contraction of posterior distributions in Bayesian wavelet regression, Superiority of Bayes estimators over the MLE in high dimensional multinomial models and its implication for nonparametric Bayes theory, A global-local approach for detecting hotspots in multiple-response regression, Multivariate and regression models for directional data based on projected Pólya trees, Nonparametric Bayes classification and hypothesis testing on manifolds, Thomas Bayes' walk on manifolds, Differential Geometry for Model Independent Analysis of Images and Other Non-Euclidean Data: Recent Developments, Latent marked Poisson process with applications to object segmentation, Distance-based tests for planar shape, Nonparametric Bayes Models of Fiber Curves Connecting Brain Regions, Extrinsic Gaussian processes for regression and classification on manifolds, Nonparametric analysis of non-Euclidean data on shapes and images, Density estimation for mixed Euclidean and non-Euclidean data in the presence of measurement error, Shape modeling with spline partitions, Nonparametric regression on Lie groups with measurement errors
