Wide consensus aggregation in the Wasserstein space. Application to location-scatter families

DOI10.3150/17-BEJ957zbMath1419.62118MaRDI QIDQ1708997

Pedro C. Álvarez-Esteban, Carlos Matrán, Eustasio del Barrio, Juan Antonio Cuesta-Albertos

Publication date: 27 March 2018

Published in: Bernoulli (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.bj/1522051236

zbMATH Keywords

Wasserstein distanceimpartial trimmingrobust aggregationtrimmed distributionsparallelized inferencetrimmed barycenterwide consensus

Mathematics Subject Classification ID

Nonparametric robustness (62G35) Variational problems in a geometric measure-theoretic setting (49Q20) Convergence of probability measures (60B10)

Related Items (6)

Existence and consistency of Wasserstein barycenters ⋮ Bayesian learning with Wasserstein barycenters ⋮ The Schrödinger problem on the non-commutative Fisher-Rao space ⋮ Statistical inference for Bures-Wasserstein barycenters ⋮ Network Consensus in the Wasserstein Metric Space of Probability Measures ⋮ Robust clustering tools based on optimal transportation

Uses Software

• TCLUST

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