Topological Analysis of Partially Ordered Data

Abstract

The DARPA Topological Data Analysis program has supported the development of topological methods for analyzing large sets of points in metric spaces [1-5]. The goal of this project is to develop similar methods for data sets on which the natural structure is not a metric, but rather a partial order. These methods are being developed for application to Boolean data, i.e., sets of bit strings, and to geometrical data, e.g., points in Lorentzian manifolds.

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Document Details

Document Type
Technical Report
Publication Date
Jun 01, 2010
Accession Number
ADA528753

Entities

People

  • David A. Meyer

Organizations

  • University of California, San Diego

Tags

Communities of Interest

  • C4I

DTIC Thesaurus Topics

  • Boolean Algebra
  • Boundaries
  • Computer Science
  • Construction
  • Data Analysis
  • Data Sets
  • Filtration
  • Geometry
  • International Relations
  • Intervals
  • Mathematics
  • Minkowski Space
  • Political Science
  • Statistics
  • Students
  • Topology
  • Universities

Readers

  • Distributed Systems and Data Platform Development
  • Graph Algorithms and Convex Optimization.

Technology Areas

  • Space