A local approach for Bayesian fusion: Mathematical analysis and agent based conception

An agent based architecture that is modelled on a successfully operating process of the real world - criminal investigation - circumvents high computational costs caused by Bayesian fusion by realising a distributed local Bayesian fusion approach. The idea underlying local Bayesian fusion approaches is to perform Bayesian fusion at least not in detail on the whole space that is spanned by the Properties-of-Interest. Local Bayesian fusion is mainly based on coarsening and restriction techniques. Here, we focus on coarsening. We give an overview over the agent based conception and translate the proposed ideas in a formal mathematical framework.