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We study the problem of learning description logic (DL) ontologies in Angluin et al.'s framework of exact learning via queries. We admit membership queries ("is a given subsumption entailed by the target ontology?") and equivalence queries…

Machine Learning · Computer Science 2017-09-22 Boris Konev , Carsten Lutz , Ana Ozaki , Frank Wolter

We investigate the problem of learning description logic ontologies from entailments via queries, using epistemic reasoning. We introduce a new learning model consisting of epistemic membership and example queries and show that polynomial…

Artificial Intelligence · Computer Science 2019-02-12 Ana Ozaki , Nicolas Troquard

We investigate the complexity of learning query inseparable ELH ontologies in a variant of Angluin's exact learning model. Given a fixed data instance A* and a query language Q, we are interested in computing an ontology H that entails the…

Artificial Intelligence · Computer Science 2020-06-19 Ana Ozaki , Cosimo Persia , Andrea Mazzullo

We study ELI queries (ELIQs) in the presence of ontologies formulated in the description logic DL-Lite. For the dialect DL-LiteH, we show that ELIQs have a frontier (set of least general generalizations) that is of polynomial size and can…

Artificial Intelligence · Computer Science 2022-05-02 Maurice Funk , Jean Christoph Jung , Carsten Lutz

We aim to determine which temporal instance queries can be uniquely characterised by a (polynomial-size) set of positive and negative temporal data examples. We start by considering queries formulated in fragments of propositional linear…

Logic in Computer Science · Computer Science 2022-05-04 Marie Fortin , Boris Konev , Vladislav Ryzhikov , Yury Savateev , Frank Wolter , Michael Zakharyaschev

We define and study the problem of modular concept learning, that is, learning a concept that is a cross product of component concepts. If an element's membership in a concept depends solely on it's membership in the components, learning…

Machine Learning · Computer Science 2019-11-11 Benjamin Caulfield , Sanjit A. Seshia

This note serves three purposes: (i) we provide a self-contained exposition of the fact that conjunctive queries are not efficiently learnable in the Probably-Approximately-Correct (PAC) model, paying clear attention to the complicating…

Databases · Computer Science 2023-07-28 Balder ten Cate , Maurice Funk , Jean Christoph Jung , Carsten Lutz

We study the problem of fitting a description logic (DL) ontology to a given set of positive and negative examples that take the form of an ABox and a Boolean query. While previous work has investigated this problem for the expressive DLs…

Logic in Computer Science · Computer Science 2026-05-01 Marvin Grosser , Carsten Lutz

Active learning (AL) is a learning paradigm where an active learner has to train a model (e.g., a classifier) which is in principal trained in a supervised way, but in AL it has to be done by means of a data set with initially unlabeled…

Machine Learning · Computer Science 2015-12-23 Adrian Calma , Tobias Reitmaier , Bernhard Sick , Paul Lukowicz , Mark Embrechts

We introduce new combinatorial quantities for concept classes, and prove lower and upper bounds for learning complexity in several models of query learning in terms of various combinatorial quantities. Our approach is flexible and powerful…

Machine Learning · Computer Science 2019-04-24 Hunter Chase , James Freitag

A major problem in computational learning theory is whether the class of formulas in conjunctive normal form (CNF) is efficiently learnable. Although it is known that this class cannot be polynomially learned using either membership or…

Machine Learning · Computer Science 2016-09-13 Montserrat Hermo , Ana Ozaki

We investigate learnability of possibilistic theories from entailments in light of Angluin's exact learning model. We consider cases in which only membership, only equivalence, and both kinds of queries can be posed by the learner. We then…

Logic in Computer Science · Computer Science 2020-05-08 Cosimo Persia , Ana Ozaki

Integrating human expertise into machine learning systems often reduces the role of experts to labeling oracles, a paradigm that limits the amount of information exchanged and fails to capture the nuances of human judgment. We address this…

Human-Computer Interaction · Computer Science 2026-02-18 Belén Martín-Urcelay , Yoonsang Lee , Matthieu R. Bloch , Christopher J. Rozell

We exhibit a family of computably enumerable sets which can be learned within polynomial resource bounds given access only to a teacher, but which requires exponential resources to be learned given access only to a membership oracle. In…

Logic · Mathematics 2019-09-18 Achilles A. Beros , Colin de la Higuera

The empirical risk minimization (ERM) principle has been highly impactful in machine learning, leading both to near-optimal theoretical guarantees for ERM-based learning algorithms as well as driving many of the recent empirical successes…

Machine Learning · Computer Science 2025-02-25 Constantinos Daskalakis , Noah Golowich

In active learning, membership queries (MQs) allow a learner to pose questions to a teacher, such as ''Is every apple a fruit?'', to which the teacher responds correctly with yes or no. These MQs can be viewed as subsumption tests with…

Artificial Intelligence · Computer Science 2026-04-21 Haoruo Zhao , Wenshuo Tang , Duncan Guthrie , Michele Sevegnani , David Flynn , Paul Harvey

So-called combined approaches answer a conjunctive query over a description logic ontology in three steps: first, they materialise certain consequences of the ontology and the data; second, they evaluate the query over the data; and third,…

Artificial Intelligence · Computer Science 2013-04-02 Giorgio Stefanoni , Boris Motik , Ian Horrocks

We study the enumeration of answers to ontology-mediated queries (OMQs) where the ontology is a set of guarded TGDs or formulated in the description logic ELI and the query is a conjunctive query (CQ). In addition to the traditional notion…

Databases · Computer Science 2022-03-18 Carsten Lutz , Marcin Przybyłko

Active learning agents typically employ a query selection algorithm which solely considers the agent's learning objectives. However, this may be insufficient in more realistic human domains. This work uses imitation learning to enable an…

Machine Learning · Computer Science 2019-07-02 Kalesha Bullard , Yannick Schroecker , Sonia Chernova

We investigate an approach for extracting knowledge from trained neural networks based on Angluin's exact learning model with membership and equivalence queries to an oracle. In this approach, the oracle is a trained neural network. We…

Machine Learning · Computer Science 2023-09-14 Sophie Blum , Raoul Koudijs , Ana Ozaki , Samia Touileb
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