Accession Number:

ADA617548

Title:

The Cauchy-Schwarz Divergence for Assessing Situational Information Gain

Descriptive Note:

Conference paper

Corporate Author:

AIR FORCE RESEARCH LAB KIRTLAND AFB NM

Report Date:

2012-07-01

Pagination or Media Count:

9.0

Abstract:

In this paper, we consider the evaluation of information divergence and information gain as they apply to a hybrid random variable i.e. a random variable which has both discrete and continuous elements for multi-target tracking problems. In particular, we develop a closed-form solution for the Cauchy- Schwarz information divergence under the assumption that the continuous element of the random variable may be represented by a Gaussian mixture distribution and present the associated relationships for evaluating the Cauchy-Schwarz information gain. The developed information gain relationships are applied to a 0-1 target tracking problem common to space object tracking to determine the sensitivities to the information gain due to probability of detection, prior probability of object existence and measurement noise.

Subject Categories:

  • Astronomy

Distribution Statement:

APPROVED FOR PUBLIC RELEASE