Topological Privacy: Lattice Structures and Information Bubbles for Inference and Obfuscation

Abstract

Information has intrinsic geometric and topological structure, arising from relative relationships beyond absolute values or types. For instance, the fact that two people did or did not share a meal describes a relationship independent of the meal's ingredients. Such relationships give rise to lattices. Lattices have topology. That topology informs the ways in which information may be observed, hidden, inferred, and dissembled. Privacy preservation may be understood as finding isotropic topologies, in which relationships appear homogeneous. Moreover, the underlying lattice structure of those topologies has a temporal aspect, which reveals how isotropy may degrade over time, thereby puncturing privacy.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Dec 19, 2016
Accession Number
AD1028101

Entities

People

  • Michael A. Erdmann

Organizations

  • Carnegie Mellon University

Tags

Communities of Interest

  • Biomedical
  • C4I

DTIC Thesaurus Topics

  • Air Force Research Laboratories
  • Boolean Algebra
  • Computations
  • Contracts
  • Coordinate Systems
  • Data Sets
  • Databases
  • Electronic Mail
  • Geometry
  • Identification
  • Information Operations
  • Probability
  • Probability Distributions
  • Recognition
  • Teamwork
  • Topology
  • Two Dimensional

Readers

  • Artificial Intelligence
  • Cybersecurity.
  • Quantum spin resonance or Electron Paramagnetic Resonance spectroscopy.

Technology Areas

  • AI & ML