The Phylogenetic Kantorovich–Rubinstein Metric for Environmental Sequence Samples

DOI10.1111/j.1467-9868.2011.01018.xzbMath1411.62317arXiv1005.1699OpenAlexW2139297600WikidataQ36119153 ScholiaQ36119153MaRDI QIDQ4632675

Frederick A. IV Matsen, Steven N. Evans

Publication date: 30 April 2019

Published in: Journal of the Royal Statistical Society Series B: Statistical Methodology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1005.1699

zbMATH Keywords

Wasserstein metricGaussian processMonte Carlo methodsHadamard spacenegative curvaturereproducing kernel Hilbert spacerandomization testoptimal transportpermutation test\(\mathrm{CAT}(\kappa)\) spacephylogeneticsmetagenomicsbarycentre

Mathematics Subject Classification ID

Ridge regression; shrinkage estimators (Lasso) (62J07) Linear regression; mixed models (62J05) Applications of statistics to biology and medical sciences; meta analysis (62P10) Hypothesis testing in multivariate analysis (62H15)

Related Items (18)

Kernel-penalized regression for analysis of microbiome data ⋮ Randomized Wasserstein Barycenter Computation: Resampling with Statistical Guarantees ⋮ Unnamed Item ⋮ Tropical optimal transport and Wasserstein distances ⋮ Optimal Estimation of Wasserstein Distance on a Tree With an Application to Microbiome Studies ⋮ 𝐿₁-distortion of Wasserstein metrics: A tale of two dimensions ⋮ Exact statistical inference for the Wasserstein distance by selective inference. Selective inference for the Wasserstein distance ⋮ Wasserstein distance and metric trees ⋮ Limit distributions and sensitivity analysis for empirical entropic optimal transport on countable spaces ⋮ The ultrametric Gromov-Wasserstein distance ⋮ Inference for Empirical Wasserstein Distances on Finite Spaces ⋮ EMDUniFrac: exact linear time computation of the UniFrac metric and identification of differentially abundant organisms ⋮ Empirical optimal transport on countable metric spaces: distributional limits and statistical applications ⋮ Asymptotic distribution and convergence rates of stochastic algorithms for entropic optimal transportation between probability measures ⋮ A statistical perspective on the challenges in molecular microbial biology ⋮ Kantorovich-Rubinstein distance and barycenter for finitely supported measures: foundations and algorithms ⋮ ENTEROTYPE-LIKE MICROBIOME STRATIFICATION AS EMERGENT STRUCTURE IN COMPLEX ADAPTIVE SYSTEMS: A MATHEMATICAL MODEL ⋮ Empirical Regularized Optimal Transport: Statistical Theory and Applications

This page was built for publication: The Phylogenetic Kantorovich–Rubinstein Metric for Environmental Sequence Samples