Shapley Value Computation in Ontology-Mediated Query Answering - Archive ouverte HAL
Proceedings/Recueil Des Communications Année : 2024

Shapley Value Computation in Ontology-Mediated Query Answering

Résumé

The Shapley value, originally introduced in cooperative game theory for wealth distribution, has found use in KR and databases for the purpose of assigning scores to formulas and database tuples based upon their contribution to obtaining a query result or inconsistency. In the present paper, we explore the use of Shapley values in ontology-mediated query answering (OMQA) and present a detailed complexity analysis of Shapley value computation (SVC) in the OMQA setting. In particular, we establish a PF/#P-hard dichotomy for SVC for ontology-mediated queries (T,q) composed of an ontology T formulated in the description logic ELHI_\bot and a connected constant-free homomorphism-closed query q. We further show that the #P-hardness side of the dichotomy can be strengthened to cover possibly disconnected queries with constants. Our results exploit recently discovered connections between SVC and probabilistic query evaluation and allow us to generalize existing results on probabilistic OMQA.

Dates et versions

hal-04687780 , version 1 (04-09-2024)

Identifiants

Citer

Meghyn Bienvenu, Diego Figueira, Pierre Lafourcade. Shapley Value Computation in Ontology-Mediated Query Answering. International Conference on Principles of Knowledge Representation and Reasoning (KR), 2024. ⟨hal-04687780⟩

Collections

CNRS UNIV-BORDEAUX
12 Consultations
0 Téléchargements

Altmetric

Partager

More