Topological Exploitation

Abstract

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.

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Document Details

Document Type
Technical Report
Publication Date
May 01, 2020
Accession Number
AD1100477

Entities

People

  • John Kelly

Organizations

  • Rome Laboratory

Tags

Communities of Interest

  • Energy and Power Technologies
  • Materials and Manufacturing Processes
  • Sensors

DTIC Thesaurus Topics

  • Air Force
  • Air Force Research Laboratories
  • Algebraic Topology
  • Change Detection
  • Data Analysis
  • Data Mining
  • Data Science
  • Detection
  • Dimensionality Reduction
  • Distribution Functions
  • Information Processing
  • Information Science
  • Network Science
  • Neural Networks
  • Pattern Recognition
  • Signal Processing
  • Three Dimensional

Readers

  • Atmospheric Science/Meteorology
  • Distributed Systems and Data Platform Development
  • Technical Research and Report Writing.

Technology Areas

  • AI & ML