Heuristic Ranking in Tightly Coupled Probabilistic Description Logics

<p>The Semantic Web effort has steadily been gaining traction in the recent years. In particular,Web search companies are recently realizing that their products need to evolve towards having richer semantic search capabilities. Description logics (DLs) have been adopted as the formal underpinn...

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Main Authors: Lukasiewicz, T, Martinez, M, Orsi, G, Simari, G
Format: Conference item
Published: AUAI Press 2012
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author Lukasiewicz, T
Martinez, M
Orsi, G
Simari, G
author_facet Lukasiewicz, T
Martinez, M
Orsi, G
Simari, G
author_sort Lukasiewicz, T
collection OXFORD
description <p>The Semantic Web effort has steadily been gaining traction in the recent years. In particular,Web search companies are recently realizing that their products need to evolve towards having richer semantic search capabilities. Description logics (DLs) have been adopted as the formal underpinnings for Semantic Web languages used in describing ontologies. Reasoning under uncertainty has recently taken a leading role in this arena, given the nature of data found on the Web. In this paper, we present a probabilistic extension of the DL EL++ (which underlies the OWL2 EL profile) using Markov logic networks (MLNs) as probabilistic semantics. This extension is tightly coupled, meaning that probabilistic annotations in formulas can refer to objects in the ontology. We show that, even though the tightly coupled nature of our language means that many basic operations are data-intractable, we can leverage a sublanguage of MLNs that allows to rank the atomic consequences of an ontology relative to their probability values (called ranking queries) even when these values are not fully computed. We present an anytime algorithm to answer ranking queries, and provide an upper bound on the error that it incurs, as well as a criterion to decide when results are guaranteed to be correct.</p>
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spelling oxford-uuid:6a0edc22-8540-4038-96c3-47073266f0312022-03-26T18:55:02ZHeuristic Ranking in Tightly Coupled Probabilistic Description LogicsConference itemhttp://purl.org/coar/resource_type/c_5794uuid:6a0edc22-8540-4038-96c3-47073266f031Department of Computer ScienceAUAI Press2012Lukasiewicz, TMartinez, MOrsi, GSimari, G<p>The Semantic Web effort has steadily been gaining traction in the recent years. In particular,Web search companies are recently realizing that their products need to evolve towards having richer semantic search capabilities. Description logics (DLs) have been adopted as the formal underpinnings for Semantic Web languages used in describing ontologies. Reasoning under uncertainty has recently taken a leading role in this arena, given the nature of data found on the Web. In this paper, we present a probabilistic extension of the DL EL++ (which underlies the OWL2 EL profile) using Markov logic networks (MLNs) as probabilistic semantics. This extension is tightly coupled, meaning that probabilistic annotations in formulas can refer to objects in the ontology. We show that, even though the tightly coupled nature of our language means that many basic operations are data-intractable, we can leverage a sublanguage of MLNs that allows to rank the atomic consequences of an ontology relative to their probability values (called ranking queries) even when these values are not fully computed. We present an anytime algorithm to answer ranking queries, and provide an upper bound on the error that it incurs, as well as a criterion to decide when results are guaranteed to be correct.</p>
spellingShingle Lukasiewicz, T
Martinez, M
Orsi, G
Simari, G
Heuristic Ranking in Tightly Coupled Probabilistic Description Logics
title Heuristic Ranking in Tightly Coupled Probabilistic Description Logics
title_full Heuristic Ranking in Tightly Coupled Probabilistic Description Logics
title_fullStr Heuristic Ranking in Tightly Coupled Probabilistic Description Logics
title_full_unstemmed Heuristic Ranking in Tightly Coupled Probabilistic Description Logics
title_short Heuristic Ranking in Tightly Coupled Probabilistic Description Logics
title_sort heuristic ranking in tightly coupled probabilistic description logics
work_keys_str_mv AT lukasiewiczt heuristicrankingintightlycoupledprobabilisticdescriptionlogics
AT martinezm heuristicrankingintightlycoupledprobabilisticdescriptionlogics
AT orsig heuristicrankingintightlycoupledprobabilisticdescriptionlogics
AT simarig heuristicrankingintightlycoupledprobabilisticdescriptionlogics