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The study of representations is of fundamental importance to any form of communication, and our ability to exploit them effectively is paramount. This article presents a novel theory -- Representational Systems Theory -- that is designed to…

Artificial Intelligence · Computer Science 2022-06-08 Daniel Raggi , Gem Stapleton , Mateja Jamnik , Aaron Stockdill , Grecia Garcia Garcia , Peter C-H. Cheng

Language provides simple ways of communicating generalizable knowledge to each other (e.g., "Birds fly", "John hikes", "Fire makes smoke"). Though found in every language and emerging early in development, the language of generalization is…

Computation and Language · Computer Science 2018-12-17 Michael Henry Tessler , Noah D. Goodman

Communication plays a pivotal role in driving change, influencing human behavior, and solving problems. Chapter 2 explores the pragmatic power of communication, drawing examples and research to illustrate its impact on people's perceptions…

Physics and Society · Physics 2025-07-25 A. Fronzetti Colladon. , F. Grippa

The study of complex systems through the lens of category theory consistently proves to be a powerful approach. We propose that cognition deserves the same category-theoretic treatment. We show that by considering a highly-compact cognitive…

Neurons and Cognition · Quantitative Biology 2021-08-04 Sophie Alyx Taylor , Son Cao Tran , Dan V. Nicolau

Categorization is a fundamental function of minds, with wide ranging implications for the rest of the cognitive system. In humans, categories are shared and communicated between minds, thus requiring explanations at the population level. In…

Physics and Society · Physics 2018-10-02 Pablo Andres Contreras Kallens , Rick Dale , Paul E. Smaldino

Although natural language is the default medium for Large Language Models (LLMs), its limited expressive capacity creates a profound bottleneck for complex problem-solving. While recent advancements in AI have relied heavily on scaling,…

Artificial Intelligence · Computer Science 2026-05-13 Zhiqin Yang , Yuhan Liu , Jingwen Fu , Pei Fu , Bo Han , Masashi Sugiyama , Nanning Zheng

Although the notion of a concept as a collection of objects sharing certain properties, and the notion of a conceptual hierarchy are fundamental to both Formal Concept Analysis and Description Logics, the ways concepts are described and…

Logic in Computer Science · Computer Science 2011-07-15 Baris Sertkaya

Natural language understanding applications such as interactive planning and face-to-face translation require extensive inferencing. Many of these inferences are based on the meaning of particular open class words. Providing a…

cmp-lg · Computer Science 2008-02-03 Marc Light , Lenhart Schubert

Despite ample evidence that our concepts, our cognitive architecture, and mathematics itself are all deeply compositional, few models take advantage of this structure. We therefore propose a radically compositional approach to computational…

Neurons and Cognition · Quantitative Biology 2019-11-18 Toby B. St Clere Smithe

Figures are an important channel for scientific communication, used to express complex ideas, models and data in ways that words cannot. However, this visual information is mostly ignored in analyses of the scientific literature. In this…

Digital Libraries · Computer Science 2019-08-21 Sean Yang , Po-shen Lee , Jevin D. West , Bill Howe

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

Biological and artificial information processing systems form representations of the world that they can use to categorize, reason, plan, navigate, and make decisions. How can we measure the similarity between the representations formed by…

Patterns are words with terminals and variables. The language of a pattern is the set of words obtained by uniformly substituting all variables with words that contain only terminals. In their original definition, patterns only allow for…

Formal Languages and Automata Theory · Computer Science 2026-03-31 Klaus Jansen , Dirk Nowotka , Lis Pirotton , Corinna Wambsganz , Max Wiedenhöft

Word embeddings play a significant role in many modern NLP systems. Since learning one representation per word is problematic for polysemous words and homonymous words, researchers propose to use one embedding per word sense. Their…

Computation and Language · Computer Science 2016-10-25 Qi Li , Tianshi Li , Baobao Chang

We consider the problem of communicating a sequence of concepts, i.e., unknown and potentially stochastic maps, which can be observed only through examples, i.e., the mapping rules are unknown. The transmitter applies a learning algorithm…

Information Theory · Computer Science 2023-05-16 Francesco Pase , Szymon Kobus , Deniz Gunduz , Michele Zorzi

Contemporary semantic description of logic is based on the ontology of all possible interpretations, an insufficiently clear metaphysical concept. In this article, logic is described as the internal organization of language. Logical…

Logic · Mathematics 2024-08-23 Boris Čulina

Compositionality in language refers to how much the meaning of some phrase can be decomposed into the meaning of its constituents and the way these constituents are combined. Based on the premise that substitution by synonyms is…

Computation and Language · Computer Science 2017-03-13 Christina Lioma , Niels Dalum Hansen

Concept learning is a form of supervised machine learning that operates on knowledge bases in description logics. State-of-the-art concept learners often rely on an iterative search through a countably infinite concept space. In each…

Machine Learning · Statistics 2026-03-13 Louis Mozart Kamdem Teyou , Caglar Demir , Axel-Cyrille Ngonga Ngomo

Being mathematics a natural language to Mankind and to physics, it must be constantly adapted to our necessities and our natural perception. Then, mathematical concepts are not absolute to reality. Although mathematical theories are…

General Physics · Physics 2007-05-23 Mauricio Ayala

Colour is a key component in the successful dissemination of information. Since many real-world concepts are associated with colour, for example danger with red, linguistic information is often complemented with the use of appropriate…

Computation and Language · Computer Science 2013-09-24 Saif M. Mohammad
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