The Linearized Hellinger--Kantorovich Distance

Cai, Tianji; Cheng, Junyi; Schmitzer, Bernhard; Thorpe, Matthew

doi:10.1137/21m1400080

The Linearized Hellinger--Kantorovich Distance

Journal Article · 04 January 2022 · SIAM Journal on Imaging Sciences

DOI:https://doi.org/10.1137/21m1400080· OSTI ID:1980770

^[1]; Cheng, Junyi; Schmitzer, Bernhard; Thorpe, Matthew

OSTI

Not provided.

Research Organization:: Univ. of California, Santa Barbara, CA (United States)

Sponsoring Organization:: USDOE Office of Science (SC)

DOE Contract Number:: SC0011702

OSTI ID:: 1980770

Journal Information:: SIAM Journal on Imaging Sciences, Journal Name: SIAM Journal on Imaging Sciences Journal Issue: 1 Vol. 15; ISSN 1936-4954

Publisher:: Society for Industrial and Applied Mathematics (SIAM)

Country of Publication:: United States

Language:: English

References (23)

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Geometric properties of cones with applications on the Hellinger–Kantorovich space, and a new distance on the space of probability measures Laschos, Vaios; Mielke, Alexander Journal of Functional Analysis, Vol. 276, Issue 11 https://doi.org/10.1016/j.jfa.2018.12.013	journal	June 2019
Free boundaries in optimal transport and Monge-Ampère obstacle problems Caffarelli, Luis; McCann, Robert Annals of Mathematics, Vol. 171, Issue 2 https://doi.org/10.4007/annals.2010.171.673	journal	January 2010
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Optimal Entropy-Transport problems and a new Hellinger–Kantorovich distance between positive measures Liero, Matthias; Mielke, Alexander; Savaré, Giuseppe Inventiones mathematicae, Vol. 211, Issue 3 https://doi.org/10.1007/s00222-017-0759-8	journal	December 2017
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Barycenters in the Hellinger–Kantorovich Space Chung, Nhan-Phu; Phung, Minh-Nhat Applied Mathematics & Optimization, Vol. 84, Issue 2 https://doi.org/10.1007/s00245-020-09695-y	journal	June 2020
Metric Space of Collider Events Komiske, Patrick T.; Metodiev, Eric M.; Thaler, Jesse Physical Review Letters, Vol. 123, Issue 4 https://doi.org/10.1103/PhysRevLett.123.041801	journal	July 2019
Linearized optimal transport for collider events Cai, Tianji; Cheng, Junyi; Craig, Nathaniel Physical Review D, Vol. 102, Issue 11 https://doi.org/10.1103/PhysRevD.102.116019	journal	December 2020
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On Hölder continuity-in-time of the optimal transport map towards measures along a curve Gigli, Nicola Proceedings of the Edinburgh Mathematical Society, Vol. 54, Issue 2 https://doi.org/10.1017/S001309150800117X	journal	March 2011
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