publication . Other literature type . Preprint . Article . 2020

A Vectorial Approach to Unbalanced Optimal Mass Transport

Jiening Zhu; Rena Elkin; Jung Hun Oh; Joseph O. Deasy; Allen Tannenbaum;
Open Access English
  • Published: 06 Aug 2020
Abstract
Unbalanced optimal mass transport (OMT) seeks to remove the conservation of mass constraint by adding a source term to the standard continuity equation in the Benamou-Brenier formulation of OMT. In this study, we show how the unbalanced case fits into the vector-valued OMT framework simply by adding an auxiliary source layer and taking the flow between the source layer and the original layer(s) as the source term. This allows for unbalanced models both in the scalar and vector-valued density settings. The results are demonstrated on a number of synthetic and real vector-valued data sets.
Subjects
free text keywords: Article, Mathematics - Optimization and Control, Mathematical Physics, Mathematics - Functional Analysis, General Engineering, General Materials Science, General Computer Science
Funded by
NIH| Glymphatic function in a transgenic rat model of Alzheimer's disease
Project
  • Funder: National Institutes of Health (NIH)
  • Project Code: 5R01AG048769-04
  • Funding stream: NATIONAL INSTITUTE ON AGING
,
NIH| MOUSE GENETICS
Project
  • Funder: National Institutes of Health (NIH)
  • Project Code: 2P30CA008748-43
  • Funding stream: NATIONAL CANCER INSTITUTE
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Other literature type . 2020
IEEE Access
Article . 2020
Provider: Crossref
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