Posterior asymptotics in Wasserstein metrics on the real line
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Publication:2233550
DOI10.1214/21-EJS1869zbMath1471.62281arXiv2003.05599OpenAlexW3183208998MaRDI QIDQ2233550
Minwoo Chae, Pierpaolo De Blasi, Stephen G. Walker
Publication date: 11 October 2021
Published in: Electronic Journal of Statistics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2003.05599
nonparametric Bayesian inferenceDirichlet process mixtureWasserstein metricsposterior consistencyposterior convergence rate
Density estimation (62G07) Asymptotic properties of nonparametric inference (62G20) Bayesian inference (62F15)
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- Constructive quantization: approximation by empirical measures
- Long history of the Monge-Kantorovich transportation problem
- The semiparametric Bernstein-von Mises theorem
- On the Bernstein-von Mises phenomenon for nonparametric Bayes procedures
- On the rate of convergence in Wasserstein distance of the empirical measure
- Slice sampling mixture models
- Bernstein-von Mises theorem for linear functionals of the density
- On adaptive posterior concentration rates
- A Bernstein-von Mises theorem for smooth functionals in semiparametric models
- Posterior convergence rates of Dirichlet mixtures at smooth densities
- The tails of probabilities chosen from a Dirichlet prior
- A class of Wasserstein metrics for probability distributions
- Invariance principles in probability for triangular arrays of B-valued random vectors and some applications
- A novel approach to Bayesian consistency
- Perturbation theory for Markov chains via Wasserstein distance
- Bayesian consistency for a nonparametric stationary Markov model
- New approaches to Bayesian consistency
- Posterior consistency of Dirichlet mixtures in density estimation
- Convergence rates of posterior distributions.
- Convergence of latent mixing measures in finite and infinite mixture models
- The consistency of posterior distributions in nonparametric problems
- Wasserstein upper bounds of the total variation for smooth densities
- Some theoretical properties of GANs
- Sharp asymptotic and finite-sample rates of convergence of empirical measures in Wasserstein distance
- On posterior consistency of tail index for Bayesian kernel mixture models
- \(L_1\)-quantization and clustering in Banach spaces
- On the Performance of Clustering in Hilbert Spaces
- On Choosing and Bounding Probability Metrics
- The semi-parametric Bernstein-von Mises theorem for regression models with symmetric errors
- Approximate Bayesian Computation with the Wasserstein Distance
- One-dimensional empirical measures, order statistics, and Kantorovich transport distances
- Probability Inequalities for Sums of Bounded Random Variables
- Adaptive Bayesian multivariate density estimation with Dirichlet mixtures
- On Bayes procedures
- Fundamentals of Nonparametric Bayesian Inference