Geometric Characteristics of the Wasserstein Metric on SPD(n) and Its Applications on Data Processing

Geometric Characteristics of the Wasserstein Metric on SPD(n) and Its Applications on Data Processing

The Wasserstein distance, especially among symmetric positive-definite matrices, has broad and deep influences on the development of artificial intelligence (AI) and other branches of computer science. In this paper, by involving the Wasserstein metric on <inline-formula><math xmlns="h...

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Bibliographic Details
Main Authors: Yihao Luo, Shiqiang Zhang, Yueqi Cao, Huafei Sun
Format: Article
Language:English
Published: MDPI AG 2021-09-01
Series:Entropy
Subjects:
symmetric positive-definite matrix
Wasserstein metric
curvature
point cloud denoising
image edge detecting
Online Access:https://www.mdpi.com/1099-4300/23/9/1214

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