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Efficient Concept Induction for Description Logics

arXiv 1812.03243 ↗First posted 8 Dec 2018cs.AI cs.LOcited by 17

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Abstract (arXiv)

Concept Induction refers to the problem of creating complex Description Logic class descriptions (i.e., TBox axioms) from instance examples (i.e., ABox data). In this paper we look particularly at the case where both a set of positive and a set of negative instances are given, and complex class expressions are sought under which the positive but not the negative examples fall. Concept induction has found applications in ontology engineering, but existing algorithms have fundamental performance issues in some scenarios, mainly because a high number of invokations of an external Description Logic reasoner is usually required. In this paper we present a new algorithm for this problem which drastically reduces the number of reasoner invokations needed. While this comes at the expense of a more limited traversal of the search space, we show that our approach improves execution times by up to several orders of magnitude, while output correctness, measured in the amount of correct coverage of the input instances, remains reasonably high in many cases. Our approach thus should provide a strong alternative to existing systems, in particular in settings where other systems are prohibitively slow.

Key facts. Cited by 17 papers in the map (data through 7 Oct 2026). First posted on arXiv 8 Dec 2018.

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Citing papers per year: 2021: 3; 2022: 2; 2023: 5; 2024: 3; 2025: 1; 2026: 3.

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  1. 2021EXplainable Neural-Symbolic Learning (X-NeSyL) methodology to fuse deep learning representations with expert knowledge graphs: the MonuMAI cultural heritage use casecited by 30
  2. 2021Learning Concept Lengths Accelerates Concept Learning in ALCcited by 10
  3. 2021Neural Class Expression Synthesiscited by 6
  4. 2022Towards Human-Compatible XAI: Explaining Data Differentials with Concept Induction over Background Knowledgecited by 6
  5. 2024On the Value of Labeled Data and Symbolic Methods for Hidden Neuron Activation Analysiscited by 6
  6. 2024Ontology Completion with Natural Language Inference and Concept Embeddings: An Analysiscited by 4
  7. 2022Frontiers and Exact Learning of ELI Queries under DL-Lite Ontologiescited by 3
  8. 2023Explaining Deep Learning Hidden Neuron Activations using Concept Inductioncited by 2
  9. 2023Understanding CNN Hidden Neuron Activations Using Structured Background Knowledge and Deductive Reasoningcited by 2
  10. 2025Ontolearn-A Framework for Large-scale OWL Class Expression Learning in Pythoncited by 2
  11. 2023Learning Permutation-Invariant Embeddings for Description Logic Conceptscited by 1
  12. 2023Reverse Engineering of Temporal Queries Mediated by LTL Ontologiescited by 1
5 more
  1. 2026A Case Study on Concept Induction for Neuron-Level Interpretability in CNNcited by 1
  2. 2023Explaining ELH Concept Descriptions through Counterfactual Reasoningcited by 0
  3. 2024ConceptLens: from Pixels to Understandingcited by 0
  4. 2026Semantics-Aware Caching for Concept Learningcited by 0
  5. 2026Do CNNs Internally Represent Real and Fake Images Differently? A Hidden-Layer Analysiscited by 0