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A space of goals: the cognitive geometry of informationally bounded agents
Traditionally, Euclidean geometry is treated by scientists as a priori and objective. However, when we take the position of an agent, the problem of selecting a best route should also factor in the abilities of the agent, its embodiment and particularly its cognitive effort. In this paper, we consid...
Autores principales: | , , , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
The Royal Society
2022
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Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9727502/ https://www.ncbi.nlm.nih.gov/pubmed/36483761 http://dx.doi.org/10.1098/rsos.211800 |
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author | Archer, Karen Catenacci Volpi, Nicola Bröker, Franziska Polani, Daniel |
author_facet | Archer, Karen Catenacci Volpi, Nicola Bröker, Franziska Polani, Daniel |
author_sort | Archer, Karen |
collection | PubMed |
description | Traditionally, Euclidean geometry is treated by scientists as a priori and objective. However, when we take the position of an agent, the problem of selecting a best route should also factor in the abilities of the agent, its embodiment and particularly its cognitive effort. In this paper, we consider geometry in terms of travel between states within a world by incorporating information processing costs with the appropriate spatial distances. This induces a geometry that increasingly differs from the original geometry of the given world as information costs become increasingly important. We visualize this ‘cognitive geometry’ by projecting it onto two- and three-dimensional spaces showing distinct distortions reflecting the emergence of epistemic and information-saving strategies as well as pivot states. The analogies between traditional cost-based geometries and those induced by additional informational costs invite a generalization of the notion of geodesics as cheapest routes towards the notion of infodesics. In this perspective, the concept of infodesics is inspired by the property of geodesics that, travelling from a given start location to a given goal location along a geodesic, not only the goal, but all points along the way are visited at optimal cost from the start. |
format | Online Article Text |
id | pubmed-9727502 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2022 |
publisher | The Royal Society |
record_format | MEDLINE/PubMed |
spelling | pubmed-97275022022-12-07 A space of goals: the cognitive geometry of informationally bounded agents Archer, Karen Catenacci Volpi, Nicola Bröker, Franziska Polani, Daniel R Soc Open Sci Computer Science and Artificial Intelligence Traditionally, Euclidean geometry is treated by scientists as a priori and objective. However, when we take the position of an agent, the problem of selecting a best route should also factor in the abilities of the agent, its embodiment and particularly its cognitive effort. In this paper, we consider geometry in terms of travel between states within a world by incorporating information processing costs with the appropriate spatial distances. This induces a geometry that increasingly differs from the original geometry of the given world as information costs become increasingly important. We visualize this ‘cognitive geometry’ by projecting it onto two- and three-dimensional spaces showing distinct distortions reflecting the emergence of epistemic and information-saving strategies as well as pivot states. The analogies between traditional cost-based geometries and those induced by additional informational costs invite a generalization of the notion of geodesics as cheapest routes towards the notion of infodesics. In this perspective, the concept of infodesics is inspired by the property of geodesics that, travelling from a given start location to a given goal location along a geodesic, not only the goal, but all points along the way are visited at optimal cost from the start. The Royal Society 2022-12-07 /pmc/articles/PMC9727502/ /pubmed/36483761 http://dx.doi.org/10.1098/rsos.211800 Text en © 2022 The Authors. https://creativecommons.org/licenses/by/4.0/Published by the Royal Society under the terms of the Creative Commons Attribution License http://creativecommons.org/licenses/by/4.0/ (https://creativecommons.org/licenses/by/4.0/) , which permits unrestricted use, provided the original author and source are credited. |
spellingShingle | Computer Science and Artificial Intelligence Archer, Karen Catenacci Volpi, Nicola Bröker, Franziska Polani, Daniel A space of goals: the cognitive geometry of informationally bounded agents |
title | A space of goals: the cognitive geometry of informationally bounded agents |
title_full | A space of goals: the cognitive geometry of informationally bounded agents |
title_fullStr | A space of goals: the cognitive geometry of informationally bounded agents |
title_full_unstemmed | A space of goals: the cognitive geometry of informationally bounded agents |
title_short | A space of goals: the cognitive geometry of informationally bounded agents |
title_sort | space of goals: the cognitive geometry of informationally bounded agents |
topic | Computer Science and Artificial Intelligence |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9727502/ https://www.ncbi.nlm.nih.gov/pubmed/36483761 http://dx.doi.org/10.1098/rsos.211800 |
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