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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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Main Authors: Natalia Janson, Christopher J. Marsden
Format: Default Article
Published: 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.
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institution Loughborough University
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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