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The highly influential framework of conceptual spaces provides a geometric way of representing knowledge. Instances are represented by points in a high-dimensional space and concepts are represented by regions in this space. In this…

Artificial Intelligence · Computer Science 2018-11-15 Lucas Bechberger , Kai-Uwe Kühnberger

The highly influential framework of conceptual spaces provides a geometric way of representing knowledge. Instances are represented by points and concepts are represented by regions in a (potentially) high-dimensional space. Based on our…

Artificial Intelligence · Computer Science 2018-04-25 Lucas Bechberger , Kai-Uwe Kühnberger

The highly influential framework of conceptual spaces provides a geometric way of representing knowledge. Instances are represented by points in a similarity space and concepts are represented by convex regions in this space. After pointing…

Artificial Intelligence · Computer Science 2019-07-02 Lucas Bechberger , Kai-Uwe Kühnberger

The highly influential framework of conceptual spaces provides a geometric way of representing knowledge. Instances are represented by points in a high-dimensional space and concepts are represented by convex regions in this space. After…

Artificial Intelligence · Computer Science 2017-09-22 Lucas Bechberger , Kai-Uwe Kühnberger

The highly influential framework of conceptual spaces provides a geometric way of representing knowledge. It aims at bridging the gap between symbolic and subsymbolic processing. Instances are represented by points in a high-dimensional…

Artificial Intelligence · Computer Science 2017-11-22 Lucas Bechberger , Kai-Uwe Kühnberger

This paper presents a geometric approach to the problem of modelling the relationship between words and concepts, focusing in particular on analogical phenomena in language and cognition. Grounded in recent theories regarding geometric…

Computation and Language · Computer Science 2016-08-05 Stephen McGregor , Matthew Purver , Geraint Wiggins

The cognitive framework of conceptual spaces [3] provides geometric means for representing knowledge. A conceptual space is a high-dimensional space whose dimensions are partitioned into so-called domains. Within each domain, the Euclidean…

Artificial Intelligence · Computer Science 2017-09-25 Lucas Bechberger

Despite the centrality of the notion of representation in neuroscience, the field lacks a unified framework for the concepts used to characterize representation, leading to disparate use of both terminology and measures associated with it.…

Neurons and Cognition · Quantitative Biology 2026-04-27 Stephan Pohl , Edgar Y. Walker , David L. Barack , Jennifer Lee , Rachel N. Denison , Ned Block , Florent Meyniel , Wei Ji Ma

Conceptual spaces are geometric representations of conceptual knowledge, in which entities correspond to points, natural properties correspond to convex regions, and the dimensions of the space correspond to salient features. While…

Artificial Intelligence · Computer Science 2017-10-26 Shoaib Jameel , Steven Schockaert

A central question in cognitive science is whether conceptual representations converge onto a shared manifold to support generalization, or diverge into orthogonal subspaces to minimize task interference. While prior work has discovered…

Computation and Language · Computer Science 2026-02-09 Zhimin Hu , Lanhao Niu , Sashank Varma

Formal definitions of quantities, quantity spaces, dimensions and dimension groups are introduced. Based on these concepts, a theoretical framework and a practical algorithm for dimensional analysis are developed, and examples of…

History and Overview · Mathematics 2015-04-20 Dan Jonsson

Words (phrases or symbols) play a key role in human life. Word (phrase or symbol) representation is the fundamental problem for knowledge representation and understanding. A word (phrase or symbol) usually represents a name of a category.…

Artificial Intelligence · Computer Science 2015-12-07 Jian Yu

The concepts of precision, and accuracy are domain and problem dependent. The simplified numeric hard and soft measures used in the fields of statistical learning, many types of machine learning, and binary or multiclass classification…

Artificial Intelligence · Computer Science 2024-10-28 A Mani

Measurement is an integral part of modern science, providing the fundamental means for evaluation, comparison, and prediction. In the context of visualization, several different types of measures have been proposed, ranging from approaches…

Graphics · Computer Science 2019-09-13 Fabian Bolte , Stefan Bruckner

Existing discourse formalisms use different taxonomies of discourse relations, which require expert knowledge to understand, posing a challenge for annotation and automatic classification. We show that discourse relations can be effectively…

Computation and Language · Computer Science 2023-11-02 Yingxue Fu

Several recently proposed methods aim to learn conceptual space representations from large text collections. These learned representations asso- ciate each object from a given domain of interest with a point in a high-dimensional Euclidean…

Artificial Intelligence · Computer Science 2018-05-07 Zied Bouraoui , Steven Schockaert

Psychology has had difficulty accounting for the creative, context-sensitive manner in which concepts are used. We believe this stems from the view of concepts as identifiers rather than bridges between mind and world that participate in…

Adaptation and Self-Organizing Systems · Physics 2013-08-26 Liane Gabora , Eleanor Rosch , Diederik Aerts

The explicit relationship among perception, communication, and design is being discussed in some detail, in order to relate it to characteristic details of the modeling of the world which defines the scientific and artistic activities of…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 R. E. Zimmermann , S. Ley , V. G. Budanov , V. E. Voitsekhovitch

The nouns of our language refer to either concrete entities (like a table) or abstract concepts (like justice or love), and cognitive psychology has established that concreteness influences how words are processed. Accordingly,…

Computation and Language · Computer Science 2025-05-22 Cosimo Iaia , Bhavin Choksi , Emily Wiebers , Gemma Roig , Christian J. Fiebach

The cognitive framework of conceptual spaces bridges the gap between symbolic and subsymbolic AI by proposing an intermediate conceptual layer where knowledge is represented geometrically. There are two main approaches for obtaining the…

Machine Learning · Computer Science 2019-08-08 Lucas Bechberger , Elektra Kypridemou
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