Accession Number:

AD1028101

Title:

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

Descriptive Note:

Technical Report,15 Oct 2013,14 Oct 2016

Corporate Author:

Carnegie Mellon University Pittsburgh United States

Personal Author(s):

• Erdmann,Michael A.

Report Date:

2016-12-19

Pagination or Media Count:

144.0

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 meals 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.

Descriptors:

• topology
• Inference

Subject Categories:

• Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE