Accession Number:

ADA528753

Title:

Topological Analysis of Partially Ordered Data

Descriptive Note:

Final rept. Aug 2006-Mar 2010

Corporate Author:

CALIFORNIA UNIV SAN DIEGO LA JOLLA DEPT OF MATHEMATICS

Personal Author(s):

Report Date:

2010-06-01

Pagination or Media Count:

104.0

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.

Subject Categories:

  • Theoretical Mathematics
  • Statistics and Probability

Distribution Statement:

APPROVED FOR PUBLIC RELEASE