Multi-Context Models for Reasoning under Partial Knowledge: Generative Process and Inference Grammar

Ardavan Salehi Nobandegani; Ioannis N. Psaromiligkos

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arXiv · 1412.4271

Multi-Context Models for Reasoning under Partial Knowledge: Generative Process and Inference Grammar

Ardavan Salehi Nobandegani·Ioannis N. Psaromiligkos

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Abstract

Arriving at the complete probabilistic knowledge of a domain, i.e., learning how all variables interact, is indeed a demanding task. In reality, settings often arise for which an individual merely possesses partial knowledge of the domain, and yet, is expected to give adequate answers to a variety of posed queries. That is, although precise answers to some queries, in principle, cannot be achieved, a range of plausible answers is attainable for each query given the available partial knowledge. In this paper, we propose the Multi-Context Model (MCM), a new graphical model to represent the state of partial knowledge as to a domain. MCM is a middle ground between Probabilistic Logic, Bayesian Logic, and Probabilistic Graphical Models. For this model we discuss: (i) the dynamics of constructing a contradiction-free MCM, i.e., to form partial beliefs regarding a domain in a gradual and probabilistically consistent way, and (ii) how to perform inference, i.e., to evaluate a probability of interest involving some variables of the domain.

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BibTeX RIS

Ardavan Salehi Nobandegani, Ioannis N. Psaromiligkos. 2014-12-13. Multi-Context Models for Reasoning under Partial Knowledge: Generative Process and Inference Grammar. https://arxiv.org/abs/1412.4271

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