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Concepts in a certain domain of science are linked via intrinsic connections reflecting the structure of knowledge. To get a qualitative insight and a quantitative description of this structure, we perform empirical analysis and modeling of…

Digital Libraries · Computer Science 2021-08-10 Vasyl Palchykov , Mariana Krasnytska , Olesya Mryglod , Yurij Holovatch

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 categorical compositional approach to meaning has been successfully applied in natural language processing, outperforming other models in mainstream empirical language processing tasks. We show how this approach can be generalized to…

Logic in Computer Science · Computer Science 2017-10-02 Joe Bolt , Bob Coecke , Fabrizio Genovese , Martha Lewis , Dan Marsden , Robin Piedeleu

The mathematical formalism of quantum mechanics has been successfully employed in the last years to model situations in which the use of classical structures gives rise to problematical situations, and where typically quantum effects, such…

Artificial Intelligence · Computer Science 2013-01-08 Diederik Aerts , Marek Czachor , Sandro Sozzo

Modelling concept representation is a foundational problem in the study of cognition and linguistics. This work builds on the confluence of conceptual tools from G\"ardenfors semantic spaces, categorical compositional linguistics, and…

Computation and Language · Computer Science 2020-08-07 James Hefford , Vincent Wang , Matthew Wilson

In the last years the debate on complexity has been developing and developing in transdisciplinary way to meet the need of explanation for highly organized collective behaviors and sophisticated hierarchical arrangements in physical,…

General Physics · Physics 2010-04-26 Ignazio Licata

We propose a theory for modeling concepts that uses the state-context-property theory (SCOP), a generalization of the quantum formalism, whose basic notions are states, contexts and properties. This theory enables us to incorporate context…

Quantum Physics · Physics 2010-04-16 Diederik Aerts , Liane Gabora

In this article we present a new modelling framework for structured concepts using a category-theoretic generalisation of conceptual spaces, and show how the conceptual representations can be learned automatically from data, using two very…

Neurons and Cognition · Quantitative Biology 2024-01-18 Sean Tull , Razin A. Shaikh , Sara Sabrina Zemljic , Stephen Clark

Most educational literature on conceptual change concerns the process by which introductory students acquire scientific knowledge. However, with modern developments in science and technology, the social significance of learning successive…

Quantum Physics · Physics 2022-06-01 Giacomo Zuccarini , Massimiliano Malgieri

There are investigated the generalized methods of cognition of the Existing, i.e. everything that is able to influence to the cognizer, and everything differed from the Existing is postulated as indistinguishable from the non-existing and…

General Physics · Physics 2017-08-18 Andrey V. Novikov-Borodin

Concept-based explainability methods provide insight into deep learning systems by constructing explanations using human-understandable concepts. While the literature on human reasoning demonstrates that we exploit relationships between…

Machine Learning · Computer Science 2024-05-29 Naveen Raman , Mateo Espinosa Zarlenga , Mateja Jamnik

We outline the rationale and preliminary results of using the State Context Property (SCOP) formalism, originally developed as a generalization of quantum mechanics, to describe the contextual manner in which concepts are evoked, used, and…

Quantum Physics · Physics 2013-11-02 Liane Gabora , Diederik Aerts

We outline the rationale and preliminary results of using the state context property (SCOP) formalism, originally developed as a generalization of quantum mechanics, to describe the contextual manner in which concepts are evoked, used and…

Neurons and Cognition · Quantitative Biology 2013-11-05 Liane Gabora , Diederik Aerts

The infrastructure upon which the functioning of society depends is composed of complex ecosystems of systems. Consequently, we must reason about the properties of such ecosystems, which requires that we construct models of them. There are…

Logic in Computer Science · Computer Science 2024-11-15 Didier Galmiche , Timo Lang , David Pym

This work aims to formalize some of the ways scientific concepts are formed in the process of theoretical physics discovery. Since this may at first seem like a task beyond the scope of the exact sciences (natural and formal sciences), we…

History and Philosophy of Physics · Physics 2025-09-30 Omar Aguilar , Anthony Aguirre

We elaborate on a new interpretation of quantum mechanics which we introduced recently. The main hypothesis of this new interpretation is that quantum particles are entities interacting with matter conceptually, which means that pieces of…

Quantum Physics · Physics 2011-05-13 Diederik Aerts

Most definitions of ontology, viewed as a "specification of a conceptualization", agree on the fact that if an ontology can take different forms, it necessarily includes a vocabulary of terms and some specification of their meaning in…

Artificial Intelligence · Computer Science 2008-01-09 Christophe Roche

Taxonomies are semantic hierarchies of concepts. One limitation of current taxonomy learning systems is that they define concepts as single words. This position paper argues that contextualized word representations, which recently achieved…

Computation and Language · Computer Science 2019-02-07 Lukas Schmelzeisen , Steffen Staab

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 aim of this article is to represent the general description of an entity by means of its states, contexts and properties. The entity that we want to describe does not necessarily have to be a physical entity, but can also be an entity…

Quantum Physics · Physics 2017-08-23 Diederik Aerts