2017/01/08 by Bernhard Schmitzer, Schmitzer, Bernhard, Benedikt Wirth +1
Mathematics · Medicine · #Bone health and osteoporosis research #Computer Vision and Pattern Recognition (cs.CV) #FOS: Computer and information sciences #FOS: Mathematics #Geometric Analysis and Curvature Flows #Numerical Analysis (math.NA) #Optimization and Control (math.OC) #Point processes and geometric inequalities
paper · pdf · doi:10.48550/arxiv.1701.01945
openalex publication_date 2017/01/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01
We propose a unifying framework for generalising the Wasserstein-1 metric to a discrepancy measure between nonnegative measures of different mass. This generalization inherits the convexity and computational efficiency from the Wasserstein-1 metric, and it includes several previous approaches from the literature as special cases. For various specific instances of the generalized Wasserstein-1 metric we furthermore demonstrate their usefulness in applications by numerical experiments.