Advanced Mathematical Methods for Processing Large Data Sets

Abstract

Research on this contract was directed towards areas of mathematics and numerical computation which have applications to image/signal processing. The research can be broadly classified into the following areas: (1) compressed sensing, (2) sparse representation and encoding for digital elevation maps, (3) learning theory, and (4) high dimensional approximation. In addition to solving several fundamental mathematical questions in these areas, this work has developed numerical algorithms and software for encoding digital elevation maps which perform at the highest compression rates. Additionally, ground has been broken on new methods in the emerging field of compressed sensing.

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Document Details

Document Type
Technical Report
Publication Date
Oct 09, 2008
Accession Number
ADA499985

Entities

People

  • Peter G. Binev
  • Robert C. Sharpley
  • Ronald A. Devore

Organizations

  • University of South Carolina

Tags

Communities of Interest

  • Autonomy
  • Human Systems
  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Algorithms
  • Coders
  • Coding
  • Compressed Sensing
  • Computational Complexity
  • Contracts
  • Data Sets
  • Engineering
  • Information Science
  • Information Theory
  • Machine Learning
  • Mathematics
  • Micro Air Vehicles
  • Probability
  • Signal Processing
  • Students
  • Supervised Machine Learning

Readers

  • Coastal Oceanography
  • Defense Technology Research and Development.
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)