A Metric Conceptual Space Algebra

Adams, Benjamin; Raubal, Martin

doi:10.1007/978-3-642-03832-7_4

Cited by 40 publications

(62 citation statements)

References 21 publications

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“…In general, conceptual spaces can be used to compute the proximity between any two entities, and between entities and prototypes. In order to compute the distance between two points p 1 , p 2 we use Euclidean metrics to calculate within-domain distance, while for dimensions from different domains we use the Manhattan distance metrics, as suggested in (Adams and Raubal, 2009;Gärdenfors, 2000). The weighted Euclidean distance dist E is computed as follows…”

Section: S1-s2: Conceptual Spaces and Ontologiesmentioning

confidence: 99%

Dual PECCS: a cognitive system for conceptual representation and categorization

Lieto

Radicioni

Rho

2016

Journal of Experimental & Theoretical Artificial Intelligen

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In this article we present an advanced version of Dual-PECCS, a cognitively-inspired knowledge representation and reasoning system aimed at extending the capabilities of artificial systems in conceptual categorization tasks. It combines different sorts of common-sense categorization (prototypical and exemplars-based categorization) with standard monotonic categorization procedures. These different types of inferential procedures are reconciled according to the tenets coming from the dual process theory of reasoning. On the other hand, from a representational perspective, the system relies on the hypothesis of conceptual structures represented as heterogeneous proxytypes. Dual-PECCS has been experimentally assessed in a task of conceptual categorization where a target concept illustrated by a simple common-sense linguistic description had to be identified by resorting to a mix of categorization strategies, and its output has been compared to human responses. The obtained results suggest that our approach can be beneficial to improve the representational and reasoning conceptual capabilities of standard cognitive artificial systems, and -in addition-that it may be plausibly applied to different general computational models of cognition. The current version of the system, in fact, extends our previous work, in that Dual-PECCS is now integrated and tested into two cognitive architectures, ACT-R and CLARION, implementing different assumptions on the underlying invariant structures governing human cognition. Such integration allowed us to extend our previous evaluation.

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Section: S1-s2: Conceptual Spaces and Ontologiesmentioning

confidence: 99%

Dual PECCS: a cognitive system for conceptual representation and categorization

Lieto

Radicioni

Rho

2016

Journal of Experimental & Theoretical Artificial Intelligen

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“…To compute the distance between two points p 1 , p 2 we apply a distance metrics based on the combination of the Euclidean distance and the angular distance intervening between the points. Namely, we use Euclidean metrics to compute within-domain distance, while for dimensions from different domains we use the Manhattan distance metrics, as suggested in (Gärdenfors, 2000;Adams and Raubal, 2009). Weights assigned to domain dimensions are affected by the context, too, so the resulting weighted Euclidean distance dist E is computed as follows…”

Section: The S1 and S2 Componentsmentioning

confidence: 99%

A Dual Process Architecture for Ontology-based Systems

Lieto¹,

Minieri

Piana

et al. 2014

Proceedings of the International Conference on Knowledge Engineering and Ontology Development

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Abstract:In this work we present an ontology-based system equipped with a hybrid architecture for the representation of conceptual information. The proposed system aims at extending the representational and reasoning capabilities of classical ontology-based systems towards more realistic and cognitively grounded scenarios, such as those envisioned by the prototype theory. The resulting system attempts to reconcile the heterogeneous approach to the concepts in Cognitive Science and the dual process theories of reasoning and rationality. The system has been experimentally assessed in a conceptual categorization task where common sense linguistic descriptions were given in input, and the corresponding target concepts had to be identified. The results show that the proposed solution substantially improves on the representational and reasoning "conceptual" capabilities of standard ontology-based systems.

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“…Now follows a non-technical summary of conceptual spaces. Rigorous treatments are Aisbett & Gibbon (2001) or Adams & Raubal (2009).…”

Section: Conceptual Spacesmentioning

confidence: 99%

From Features via Frames to Spaces: Modeling Scientific Conceptual Change Without Incommensurability or Aprioricity

Zenker

2013

Studies in Linguistics and Philosophy

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The (dynamic) frame model, originating in artificial intelligence and cognitive psychology, has recently been applied to change-phenomena traditionally studied within history and philosophy of science. Its application purpose is to account for episodes of conceptual dynamics in the empirical sciences (allegedly) suggestive of incommensurability as evidenced by "ruptures" in the symbolic forms of historically successive empirical theories with similar classes of applications. This article reviews the frame model and traces its development from the feature list model. Drawing on extant literature, examples of framereconstructed taxonomic change are presented. This occurs for purposes of comparison with an alternative tool, conceptual spaces. The main claim is that conceptual spaces save the merits of the frame model and provide a powerful model for conceptual change in scientific knowledge, since distinctions arising in measurement theory are native to the model. It is suggested how incommensurability as incomparability of theoretical frameworks might be avoided (thus coming on par with a key-result of applying frames). Moreover, as non(inter-)translatability of world-views, it need not to be treated as a genuine problem of conceptual representation. The status of laws vis à vis their dimensional bases as well as diachronic similarity measures are (inconclusively) discussed.

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A Metric Conceptual Space Algebra

Cited by 40 publications

References 21 publications

Dual PECCS: a cognitive system for conceptual representation and categorization

Dual PECCS: a cognitive system for conceptual representation and categorization

A Dual Process Architecture for Ontology-based Systems

From Features via Frames to Spaces: Modeling Scientific Conceptual Change Without Incommensurability or Aprioricity

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