Technical Report,01 Oct 2015,31 Oct 2019
AIR FORCE RESEARCH LAB ROME NY ROME United States
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This report summarizes the results of the TOPEX project. The Topological Exploitation project TOPEX initially aimed at understanding and studying recent methods in topological data analysis TDA. The research contained is intended to provide a basic under-standing of TDA and the type of signal information that TDA tools provide, with the aim of providing methods to facilitate unsupervised detection of structure within data. Additionally, additional tools are investigated to perform structure detection in signal processing and data analysis e.g. covariance distance measures and singular value analysis. Lastly, some high-level applications are explored. For example, the utility of TDA for opportunistic data mining is briefly analyzed, along with some of the general issues relating to data mining.
- Electrical and Electronic Equipment