7 found
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  1.  53
    Perceptron Connectives in Knowledge Representation.Pietro Galliani, Guendalina Righetti, Daniele Porello, Oliver Kutz & Nicolas Toquard - 2020 - In Knowledge Engineering and Knowledge Management - 22nd International Conference, {EKAW} 2020, Bolzano, Italy, September 16-20, 2020, Proceedings. Lecture Notes in Computer Science 12387. pp. 183-193.
    We discuss the role of perceptron (or threshold) connectives in the context of Description Logic, and in particular their possible use as a bridge between statistical learning of models from data and logical reasoning over knowledge bases. We prove that such connectives can be added to the language of most forms of Description Logic without increasing the complexity of the corresponding inference problem. We show, with a practical example over the Gene Ontology, how even simple instances of perceptron connectives are (...)
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  2.  28
    Pink Panthers and Toothless Tigers: Three Problems in Classification.Guendalina Righetti, Daniele Porello, Oliver Kutz, Nicolas Troquard & Claudio Masolo - 2019 - In Proceedings of the 7th International Workshop on Artificial Intelligence and Cognition, Manchester, UK, September 10-11, 2019. {CEUR} Workshop Proceedings 2483. pp. 39-53.
    Many aspects of how humans form and combine concepts are notoriously difficult to capture formally. In this paper, we focus on the representation of three particular such aspects, namely overexten- sion, underextension, and dominance. Inspired in part by the work of Hampton, we consider concepts as given through a prototype view, and by considering the interdependencies between the attributes that define a concept. To approach this formally, we employ a recently introduced family of operators that enrich Description Logic languages. These (...)
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  3.  82
    Asymmetric Hybrids: Dialogues for Computational Concept Combination.Guendalina Righetti, Daniele Porello, Nicolas Troquard, Oliver Kutz, Maria Hedblom & Pietro Galliani - 2022 - In Fabian Neuhaus & Boyan Brodaric (eds.), Formal Ontology in Information Systems - Proceedings of the Twelfth International Conference, {FOIS} 2021, Bozen-Bolzano, Italy, September 11-18, 2021. Frontiers in Artificial Intelligence and Applications. IOS Press. pp. 81-96.
    When people combine concepts these are often characterised as “hybrid”, “impossible”, or “humorous”. However, when simply considering them in terms of extensional logic, the novel concepts understood as a conjunctive concept will often lack meaning having an empty extension (consider “a tooth that is a chair”, “a pet flower”, etc.). Still, people use different strategies to produce new non-empty concepts: additive or integrative combination of features, alignment of features, instantiation, etc. All these strategies involve the ability to deal with conflicting (...)
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  4. A Toothful of Concepts: Towards a Theory of Weighted Concept Combination.Daniele Porello, Oliver Kutz, Guendalina Righetti, Nicolas Troquard, Pietro Galliani & Claudio Masolo - 2019 - In Mantas Simkus & Grant E. Weddell (eds.), Proceedings of the 32nd International Workshop on Description Logics, Oslo, Norway, June 18-21, 2019.
    We introduce a family of operators to combine Description Logic concepts. They aim to characterise complex concepts that apply to instances that satisfy \enough" of the concept descriptions given. For instance, an individual might not have any tusks, but still be considered an elephant. To formalise the meaning of "enough", the operators take a list of weighted concepts as arguments, and a certain threshold to be met. We commence a study of the formal properties of these operators, and study some (...)
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  5.  71
    Towards Knowledge-Driven Distillation and Explanation of Black-Box Models.Roberto Confalonieri, Guendalina Righetti, Pietro Galliani, Nicolas Toquard, Oliver Kutz & Daniele Porello - 2021 - In Proceedings of the Workshop on Data meets Applied Ontologies in Explainable {AI} {(DAO-XAI} 2021) part of Bratislava Knowledge September {(BAKS} 2021), Bratislava, Slovakia, September 18th to 19th, 2021. CEUR 2998.
    We introduce and discuss a knowledge-driven distillation approach to explaining black-box models by means of two kinds of interpretable models. The first is perceptron (or threshold) connectives, which enrich knowledge representation languages such as Description Logics with linear operators that serve as a bridge between statistical learning and logical reasoning. The second is Trepan Reloaded, an ap- proach that builds post-hoc explanations of black-box classifiers in the form of decision trees enhanced by domain knowledge. Our aim is, firstly, to target (...)
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  6.  39
    Concept Combination in Weighted Logic.Guendalina Righetti, Claudio Masolo, Nicolas Toquard, Oliver Kutz & Daniele Porello - 2021 - In Proceedings of the Joint Ontology Workshops 2021 Episode {VII:} The Bolzano Summer of Knowledge co-located with the 12th International Conference on Formal Ontology in Information Systems {(FOIS} 2021), and the 12th Internati.
    We present an algorithm for concept combination inspired and informed by the research in cognitive and experimental psychology. Dealing with concept combination requires, from a symbolic AI perspective, to cope with competitive needs: the need for compositionality and the need to account for typicality effects. Building on our previous work on weighted logic, the proposed algorithm can be seen as a step towards the management of both these needs. More precisely, following a proposal of Hampton [1], it combines two weighted (...)
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  7.  23
    Towards Even More Irresistible Axiom Weakening.Roberto Confalonieri, Pietro Galliani, Oliver Kutz, Daniele Porello, Guendalina Righetti & Nicolas Toquard - 2020 - In Proceedings of the 33rd International Workshop on Description Logics {(DL} 2020) co-located with the 17th International Conference on Principles of Knowledge Representation and Reasoning {(KR} 2020), Online Event, Rhodes, Greece.
    Axiom weakening is a technique that allows for a fine-grained repair of inconsistent ontologies. Its main advantage is that it repairs on- tologies by making axioms less restrictive rather than by deleting them, employing the use of refinement operators. In this paper, we build on pre- viously introduced axiom weakening for ALC, and make it much more irresistible by extending its definitions to deal with SROIQ, the expressive and decidable description logic underlying OWL 2 DL. We extend the definitions of (...)
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