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A Vectorial Approach to Unbalanced Optimal Mass Transport

Optimization and Control 2020-12-18 v1 Mathematical Physics Functional Analysis math.MP
Authors: Jiening Zhu , Rena Elkin , Jung Hun Oh , Joseph O. Deasy , Allen Tannenbaum
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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 note, we show how the addition of the source fits into the vector-valued OMT framework.

Keywords

unbalanced optimal mass transport continuity equation benamou-brenier formulation source term vector-valued framework

Cite

@article{arxiv.2008.02909,
  title  = {A Vectorial Approach to Unbalanced Optimal Mass Transport},
  author = {Jiening Zhu and Rena Elkin and Jung Hun Oh and Joseph O. Deasy and Allen Tannenbaum},
  journal= {arXiv preprint arXiv:2008.02909},
  year   = {2020}
}

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