Distribution's template estimate with Wasserstein metrics
From MaRDI portal
Publication:2348724
DOI10.3150/13-BEJ585zbMath1320.62107arXiv1111.5927MaRDI QIDQ2348724
Thibaut Le Gouic, Emmanuel Boissard, Jean-Michel Loubes
Publication date: 15 June 2015
Published in: Bernoulli (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1111.5927
Related Items
Existence and consistency of Wasserstein barycenters, Amplitude and phase variation of point processes, Bayesian semiparametric modelling of phase-varying point processes, Limit laws of the empirical Wasserstein distance: Gaussian distributions, Stochastic approximation versus sample average approximation for Wasserstein barycenters, Discrete Wasserstein barycenters: optimal transport for discrete data, Upper and lower risk bounds for estimating the Wasserstein barycenter of random measures on the real line, Stochastic saddle-point optimization for the Wasserstein barycenter problem, Unbalanced optimal total variation transport problems and generalized Wasserstein barycenters, Convergence rates for empirical barycenters in metric spaces: curvature, convexity and extendable geodesics, Gaussian processes with multidimensional distribution inputs via optimal transport and Hilbertian embedding, Decentralized convex optimization on time-varying networks with application to Wasserstein barycenters, Fast convergence of empirical barycenters in Alexandrov spaces and the Wasserstein space, Quantum Wasserstein isometries on the qubit state space, Quantitative stability of barycenters in the Wasserstein space, Inference for Empirical Wasserstein Distances on Finite Spaces, Wide consensus aggregation in the Wasserstein space. Application to location-scatter families, Characterization of barycenters in the Wasserstein space by averaging optimal transport maps, Isometric study of Wasserstein spaces – the real line, Barycenters in the Hellinger-Kantorovich space, Fréchet means and Procrustes analysis in Wasserstein space, Spatial prediction and spatial dependence monitoring on georeferenced data streams, Central limit theorem and bootstrap procedure for Wasserstein's variations with an application to structural relationships between distributions, A parametric registration model for warped distributions with Wasserstein's distance, Wasserstein Dictionary Learning: Optimal Transport-Based Unsupervised Nonlinear Dictionary Learning, Network Consensus in the Wasserstein Metric Space of Probability Measures, On clustering uncertain and structured data with Wasserstein barycenters and a geodesic criterion for the number of clusters, On the analysis of adaptability in multi-source domain adaptation, Robust clustering tools based on optimal transportation
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A Robbins-Monro procedure for estimation in semiparametric regression models
- Non parametric estimation of the structural expectation of a stochastic increasing function
- Intrinsic statistics on Riemannian manifolds: Basic tools for geometric measurements
- Exponential inequalities for sums of random vectors
- Notes on the Wasserstein metric in Hilbert spaces
- A convexity principle for interacting gases
- Tests of goodness of fit based on the \(L_2\)-Wasserstein distance
- Central limit theorems for the Wasserstein distance between the empirical and the true distributions
- Statistical properties of the quantile normalization method for density curve alignment
- A computational fluid mechanics solution to the Monge-Kantorovich mass transfer problem
- Semi-parametric estimation of shifts
- Semiparametric estimation of shifts on compact Lie groups for image registration
- Functional data analysis.
- Gradient flows with metric and differentiable structures, and applications to the Wasserstein space
- Metamorphoses through Lie group action
- An Efficient Numerical Method for the Solution of the $L_2$ Optimal Mass Transfer Problem
- Barycenters in the Wasserstein Space
- Trimmed Comparison of Distributions
- Polar factorization and monotone rearrangement of vector‐valued functions
- Dynamic programming algorithm optimization for spoken word recognition