A Machine Learning Framework for Geodesics Under Spherical Wasserstein–Fisher–Rao Metric and Its Application for Weighted Sample Generation

Y Jing, J Chen, L Li, J Lu - Journal of Scientific Computing, 2024 - Springer
Abstract Wasserstein–Fisher–Rao (WFR) distance is a family of metrics to gauge the
discrepancy of two Radon measures, which takes into account both transportation and …

The quadratic Wasserstein metric with squaring scaling for seismic velocity inversion

Z Li, Y Tang, J Chen, H Wu - arXiv preprint arXiv:2201.11305, 2022 - arxiv.org
The quadratic Wasserstein metric has shown its power in measuring the difference between
probability densities, which benefits optimization objective function with better convexity and …

Square Root Normal Fields for Lipschitz Surfaces and the Wasserstein Fisher Rao Metric

E Hartman, M Bauer, E Klassen - SIAM Journal on Mathematical Analysis, 2024 - SIAM
The square root normal field (SRNF) framework is a method in the area of shape analysis
that defines a (pseudo) distance between unparametrized surfaces. For piecewise linear …