A two-stage Bayesian semiparametric model for novelty detection with robust prior information

DOI10.1007/s11222-021-10017-7zbMath1475.62027arXiv2006.09012OpenAlexW3034724237MaRDI QIDQ2058768

Andrea Cappozzo, Francesca Greselin, Francesco Denti

Publication date: 9 December 2021

Published in: Statistics and Computing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2006.09012

zbMATH Keywords

Bayesian nonparametricsnovelty detectionslice samplerBayesian mixture modelminimum regularized covariance determinant

Mathematics Subject Classification ID

Computational methods for problems pertaining to statistics (62-08) Nonparametric estimation (62G05) Bayesian inference (62F15)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• The minimum regularized covariance determinant estimator
• Model-based clustering based on sparse finite Gaussian mixtures
• Asymptotic Behaviour of the Posterior Distribution in Overfitted Mixture Models
• Adaptive mixture discriminant analysis for supervised learning with unobserved classes
• Central limit theorem and influence function for the MCD estimators at general multivariate distributions
• Functional clustering in nested designs: modeling variability in reproductive epidemiology studies
• Slice sampling mixture models
• On a class of Bayesian nonparametric estimates: I. Density estimates
• Fast and robust discriminant analysis
• Variable selection and updating in model-based discriminant analysis for high dimensional data with food authenticity applications
• Best approximations to random variables based on trimming procedures
• Asymptotics for the minimum covariance determinant estimator
• The two-parameter Poisson-Dirichlet distribution derived from a stable subordinator
• Bayesian nonparametric classification for spectroscopy data
• Bayesian cluster analysis: point estimation and credible balls (with discussion)
• Robust and efficient estimation of multivariate scatter and location
• Exchangeable and partially exchangeable random partitions
• Influence function and efficiency of the minimum covariance determinant scatter matrix estimator
• Anomaly and novelty detection for robust semi-supervised learning
• On the inferential implications of decreasing weight structures in mixture models
• Comparing clusterings -- an information based distance
• Semiparametric Bayes hierarchical models with mean and variance constraints
• Functional data analysis.
• A Bayesian analysis of some nonparametric problems
• Hybrid Dirichlet Mixture Models for Functional Data
• Bayesian Hierarchical Functional Data Analysis Via Contaminated Informative Priors
• Least Median of Squares Regression
• Bayesian cluster analysis
• Unsupervised Curve Clustering using B‐Splines
• Gibbs Sampling Methods for Stick-Breaking Priors
• Bayesian Density Estimation and Inference Using Mixtures
• Bayesian Semiparametric Joint Models for Functional Predictors
• On the Pitman–Yor process with spike and slab base measure
• A practical guide to splines.

This page was built for publication: A two-stage Bayesian semiparametric model for novelty detection with robust prior information