The Kantorovich metric for probability measures on the circle

DOI10.1016/0377-0427(93)E0213-6zbMath0819.60001OpenAlexW2162104217MaRDI QIDQ1893595

Ursula M. Molter, Carlos A. Cabrelli

Publication date: 4 July 1995

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0377-0427(93)e0213-6

zbMATH Keywords

pattern recognitionprobability metricsHutchinson distanceKantorovich distance between probability measures on the circleminimal matching problemtexture metrics

Mathematics Subject Classification ID

Probability measures on topological spaces (60B05) Probabilistic measure theory (60A10)

Related Items (16)

Rigidity of the Pu inequality and quadratic isoperimetric constants of normed spaces ⋮ Kantorovich distance on finite metric spaces: Arens-Eells norm and CUT norms ⋮ Computing the Monge-Kantorovich distance ⋮ A linear time algorithm for a matching problem on the circle ⋮ Best finite constrained approximations of one-dimensional probabilities ⋮ Transportation distances on the circle ⋮ Circling the uniform distribution ⋮ Cramér distance and discretisations of circle expanding maps I: theory ⋮ Solving lonely runner conjecture through differential geometry ⋮ Atomic norm minimization for decomposition into complex exponentials and optimal transport in Fourier domain ⋮ Permanence of a stochastic delay competition model with Levy jumps ⋮ Stability of a stochastic one-predator-two-prey population model with time delays ⋮ Spectral truncations in noncommutative geometry and operator systems ⋮ Quantization and clustering on Riemannian manifolds with an application to air traffic analysis ⋮ Majorization by hemispheres and quadratic isoperimetric constants ⋮ A note on the distributions of \((\log n) \bmod 1\)

Cites Work

• Weighted median algorithms for \(L_ 1\) approximation
• An algorithm for the computation of the Hutchinson distance
• A linear selection algorithm for sets of elements with weights
• The Wasserstein distance and approximation theorems
• Probability Metrics
• The Monge–Kantorovich Mass Transference Problem and Its Stochastic Applications
• Bipartite graph matching for points on a line or a circle
• Calculation of the Wasserstein Distance Between Probability Distributions on the Line
• Selecting the Kth Element in $X + Y$ and $X_1 + X_2 + \cdots + X_m $
• Mass transhipment problems and ideal metrics
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: The Kantorovich metric for probability measures on the circle