Optimal Mass Transport for Statistical Estimation, Image Analysis, Information Geometry, and Control

Abstract

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.

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Document Details

Document Type
Technical Report
Publication Date
Jan 10, 2017
Accession Number
AD1025343

Entities

People

  • Allen R. Tannenbaum
  • Tryphon T. Georgiou

Organizations

  • Regents of the University of Minnesota

Tags

Communities of Interest

  • Biomedical
  • Weapons Technologies

DTIC Thesaurus Topics

  • Brain Injuries
  • Civil Engineering
  • Computational Fluid Dynamics
  • Computational Science
  • Data Science
  • Differential Equations
  • Engineering
  • Equations
  • Fluid Dynamics
  • Fluid Flow
  • Geometry
  • Health Services
  • Information Science
  • Mass Spectrometry
  • Medical Personnel
  • Signal Processing
  • Statistics

Readers

  • Academic Conference Management
  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)