Information-Geometric and Information-Theoretic Foundations of Information Collection and Fusion

Project: Research project

Project Details

Description

Achieving envisioned capabilities in situational awareness across a wide range of defense and national security applications hinges on fundamental advances in information sciences. Central among these is control of accessible degrees of freedom in sensing systems and other information collection resources to persistently gather the most valuable information available in the presence of dynamic requirements and resources. This proposal sets forth two related veins of foundational research that address key open issues in establishing a holistic and rigorous science for control of information resources. The first of these examines the use of the principle of maximum entropy as the basis of new methodology for efficient representation of information state in multi-stage closed-loop information collection. The other extends concepts from differential geometry to characterize optimal trajectories in sensor configuration space as geodesic curves in a Riemannian manifold. Both of these approaches seek mathematical insight into the crucial question of which information sources among a generally infinite set of possibilities are most worthy of attention, in view of the objective to be achieved and what is already known. The proposal outlines a five-year plan of basic mathematical and algorithmic research to dramatically solidify the foundations of controlled information collection and fusion. The proposed research builds on recent preliminary results of the PI and his collaborators, summarized in this proposal, that establish the viability of both veins of research described above. The proposed project will be carried out by Douglas Cochran, a faculty member in the School of Electrical, Computer, and Energy Engineering and the School of Mathematical and Statistical Sciences at Arizona State University. Professor Cochran has a long track record of successful DoD-sponsored basic and applied research in mathematical and statistical aspects of sensing. The project will be performed in collaboration with Professor William Moran and Dr. Stephen Howard through a sub-award to the University of Melbourne. It will also be closely coordinated with an ongoing AFOSR-managed MURI effort led by Professor Daniel Koditschek at the University of Pennsylvania.
StatusFinished
Effective start/end date8/1/127/31/17

Funding

  • DOD-USAF-AFRL: Air Force Office of Scientific Research (AFOSR): $1,674,562.00

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