Optimal Mass Transport for Statistical Estimation, Image Analysis, Information Geometry, and Control
Technical Report,15 Jun 2012,15 Sep 2016
Regents of the University of Minnesota Minneapolis United States
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We developed several new directions in the theory and applications of Optimal Mass Transport OMT. OMT has its origins in civil engineering Monge 1781 and economics Kantorovich 1942, but in recent years has increasingly impacted a large number of other fields probability theory, partial differential equations, physics, meteorology. We have addressed computational aspects of the problem and the need for further expanding the arsenal of computational tools. We considered a wide range of generalizations and insights for the purpose of tackling problems of AFOSR interest. These include matrix-valued statistics and fusion of information, optical flow, controlled active vision, tracking and dynamic textures.
- Operations Research