Bell Inequalities for Complex Networks

Abstract

This effort studied new methods to understand the effect of hidden variables affecting complex systems. Bell inequalities are a famous example of a hidden variable test in quantum physics that provides the strongest evidence for that theory. Initial work in this project extended the mathematical formulations of Bell inequalities to design new hidden variable tests that were able to account for confounding effects in complex systems including human social networks. These tests solved an open question about the identifiability of contagion in social network studies. Subsequent work moved beyond identification of hidden variables to develop a new information-theoretic framework capable of reconstructing hidden variables explaining the multivariate dependencies in complex systems. These methods have demonstrated value on diverse problems including human behavior, language, neuroscience, and gene expression.

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Document Details

Document Type
Technical Report
Publication Date
Oct 26, 2015
Accession Number
ADA623654

Entities

People

  • Greg L. Ver Steeg

Organizations

  • University of Southern California

Tags

Communities of Interest

  • Autonomy
  • Biomedical
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Air Force Research Laboratories
  • Algebraic Geometry
  • Artificial Intelligence
  • Complex Systems
  • Computational Science
  • Contracts
  • Electronic Mail
  • Geometry
  • Information Processing
  • Information Science
  • Machine Learning
  • Probability
  • Probability Distributions
  • Social Media
  • Social Networks
  • Statistical Tests
  • Statistics

Readers

  • Mathematical Modeling and Probability Theory.
  • Systems Analysis and Design
  • Theoretical Analysis.

Technology Areas

  • Quantum Computing