Comparing weighted difference and Earth mover's distance via Young diagrams

DOI10.1016/j.disc.2023.113667zbMath1525.05196arXiv2104.07273MaRDI QIDQ6080126

William Q. Erickson

Publication date: 30 October 2023

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2104.07273

zbMATH Keywords

generating functionsYoung diagramsplane partitionsEarth mover's distance

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Partitions of sets (05A18) Combinatorial aspects of algebraic geometry (05E14) Algebraic statistics (62R01)

Cites Work

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• A Monge property for the \(d\)-dimensional transportation problem
• The earth mover's distance as a metric for image retrieval
• Transportation distances on the circle
• 1-Wasserstein distance on the standard simplex
• A generalization for the expected value of the earth mover's distance
• Expected value of the one-dimensional earth mover's distance
• Plane partitions in the work of Richard Stanley and his school

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