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Dynamical system with plastic self-organized velocity field as an alternative conceptual model of a cognitive system
It is well known that architecturally the brain is a neural network, i.e. a collection of many relatively simple units coupled flexibly. However, it has been unclear how the possession of this architecture enables higher-level cognitive functions, which are unique to the brain. Here, we consider the...
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2017
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Online Access: | https://hdl.handle.net/2134/27713 |
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author | Natalia Janson Christopher J. Marsden |
author_facet | Natalia Janson Christopher J. Marsden |
author_sort | Natalia Janson (1247694) |
collection | Figshare |
description | It is well known that architecturally the brain is a neural network, i.e. a collection of many relatively simple units coupled flexibly. However, it has been unclear how the possession of this architecture enables higher-level cognitive functions, which are unique to the brain. Here, we consider the brain from the viewpoint of dynamical systems theory and hypothesize that the unique feature of the brain, the self-organized plasticity of its architecture, could represent the means of enabling the self-organized plasticity of its velocity vector field. We propose that, conceptually, the principle of cognition could amount to the existence of appropriate rules governing self-organization of the velocity field of a dynamical system with an appropriate account of stimuli. To support this hypothesis, we propose a simple non-neuromorphic mathematical model with a plastic self-organized velocity field, which has no prototype in physical world. This system is shown to be capable of basic cognition, which is illustrated numerically and with musical data. Our conceptual model could provide an additional insight into the working principles of the brain. Moreover, hardware implementations of plastic velocity fields self-organizing according to various rules could pave the way to creating artificial intelligence of a novel type. |
format | Default Article |
id | rr-article-9386234 |
institution | Loughborough University |
publishDate | 2017 |
record_format | Figshare |
spelling | rr-article-93862342017-12-05T00:00:00Z Dynamical system with plastic self-organized velocity field as an alternative conceptual model of a cognitive system Natalia Janson (1247694) Christopher J. Marsden (7159091) Other mathematical sciences not elsewhere classified Applied mathematics Mathematics and computing Mathematical Sciences not elsewhere classified It is well known that architecturally the brain is a neural network, i.e. a collection of many relatively simple units coupled flexibly. However, it has been unclear how the possession of this architecture enables higher-level cognitive functions, which are unique to the brain. Here, we consider the brain from the viewpoint of dynamical systems theory and hypothesize that the unique feature of the brain, the self-organized plasticity of its architecture, could represent the means of enabling the self-organized plasticity of its velocity vector field. We propose that, conceptually, the principle of cognition could amount to the existence of appropriate rules governing self-organization of the velocity field of a dynamical system with an appropriate account of stimuli. To support this hypothesis, we propose a simple non-neuromorphic mathematical model with a plastic self-organized velocity field, which has no prototype in physical world. This system is shown to be capable of basic cognition, which is illustrated numerically and with musical data. Our conceptual model could provide an additional insight into the working principles of the brain. Moreover, hardware implementations of plastic velocity fields self-organizing according to various rules could pave the way to creating artificial intelligence of a novel type. 2017-12-05T00:00:00Z Text Journal contribution 2134/27713 https://figshare.com/articles/journal_contribution/Dynamical_system_with_plastic_self-organized_velocity_field_as_an_alternative_conceptual_model_of_a_cognitive_system/9386234 CC BY 4.0 |
spellingShingle | Other mathematical sciences not elsewhere classified Applied mathematics Mathematics and computing Mathematical Sciences not elsewhere classified Natalia Janson Christopher J. Marsden Dynamical system with plastic self-organized velocity field as an alternative conceptual model of a cognitive system |
title | Dynamical system with plastic self-organized velocity field as an alternative conceptual model of a cognitive system |
title_full | Dynamical system with plastic self-organized velocity field as an alternative conceptual model of a cognitive system |
title_fullStr | Dynamical system with plastic self-organized velocity field as an alternative conceptual model of a cognitive system |
title_full_unstemmed | Dynamical system with plastic self-organized velocity field as an alternative conceptual model of a cognitive system |
title_short | Dynamical system with plastic self-organized velocity field as an alternative conceptual model of a cognitive system |
title_sort | dynamical system with plastic self-organized velocity field as an alternative conceptual model of a cognitive system |
topic | Other mathematical sciences not elsewhere classified Applied mathematics Mathematics and computing Mathematical Sciences not elsewhere classified |
url | https://hdl.handle.net/2134/27713 |