Joint Detection and Communication over Type-Sensitive Networks

Abstract

Due to the difficulty of decentralized inference with conditional dependent observations, and motivated by large-scale heterogeneous networks, we formulate a framework for decentralized detection with coupled observations. Each agent has a state, and the empirical distribution of all agents’ states or the type of network dictates the individual agents’ behavior. In particular, agents’ observations depend on both the underlying hypothesis as well as the empirical distribution of the agents’ states. Hence, our framework captures a high degree of coupling, in that an individual agent’s behavior depends on both the underlying hypothesis and the behavior of all other agents in the network. Considering this framework, the method of types, and a series of equicontinuity arguments, we derive the error exponent for the case in which all agents are identical and show that this error exponent depends on only a single empirical distribution. The analysis is extended to the multi-class case, and numerical results with state-dependent agent signaling and state-dependent channels highlight the utility of the proposed framework for analysis of highly coupled environments.

Document Details

Document Type
Pub Defense Publication
Publication Date
Sep 08, 2023
Source ID
10.3390/e25091313

Entities

People

  • Joni Shaska
  • Urbashi Mitra

Organizations

  • Army Research Office
  • National Science Foundation
  • Office of Naval Research
  • Swedish Research Council
  • United States Department of Energy
  • University of Southern California

Tags

Readers

  • Computer Networking
  • Mathematical Modeling and Probability Theory.
  • Regression Analysis.

Technology Areas

  • AI & ML
  • AI & ML - Bayesian Inference