Deterministic Bayesian Information Fusion and the Analysis of its Performance
Abstract
This paper develops a mathematical and computational framework for analyzing the expected performance of Bayesian data fusion, or joint statistical inference, within a sensor network. We use variational techniques to obtain the posterior expectation as the optimal fusion rule under a deterministic constraint and a quadratic cost, and study the smoothness and other properties of its classification performance. For a certain class of fusion problems, we prove that this fusion rule is also optimal in a much wider sense and satisfies strong asymptotic convergence results. We show how these results apply to a variety of examples with Gaussian, exponential and other statistics, and discuss computational methods for determining the fusion system's performance in more general, large-scale problems. These results are motivated by studying the performance of fusing multi-modal radar and acoustic sensors for detecting explosive substances, but have broad applicability to other Bayesian decision problems.
Cite
@article{arxiv.1311.3755,
title = {Deterministic Bayesian Information Fusion and the Analysis of its Performance},
author = {Gaurav Thakur},
journal= {arXiv preprint arXiv:1311.3755},
year = {2016}
}