Topological Analysis of Partially Ordered Data
Final rept. Aug 2006-Mar 2010
CALIFORNIA UNIV SAN DIEGO LA JOLLA DEPT OF MATHEMATICS
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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.
- Theoretical Mathematics
- Statistics and Probability