Time for Change: Implementation of Aksentijevic-Gibson Complexity in Psychology

Given that complexity is critical for psychological processing, it is somewhat surprising that the field was dominated for a long time by probabilistic methods that focus on the quantitative aspects of the source/output. Although the more recent approaches based on the Minimum Description Length pri...

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Main Authors: Aleksandar Aksentijevic, Anja Mihailovic, Dragutin T. Mihailovic
Format: Article
Language:English
Published: MDPI AG 2020-06-01
Series:Symmetry
Subjects:
Online Access:https://www.mdpi.com/2073-8994/12/6/948
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author Aleksandar Aksentijevic
Anja Mihailovic
Dragutin T. Mihailovic
author_facet Aleksandar Aksentijevic
Anja Mihailovic
Dragutin T. Mihailovic
author_sort Aleksandar Aksentijevic
collection DOAJ
description Given that complexity is critical for psychological processing, it is somewhat surprising that the field was dominated for a long time by probabilistic methods that focus on the quantitative aspects of the source/output. Although the more recent approaches based on the Minimum Description Length principle have produced interesting and useful models of psychological complexity, they have not directly defined the meaning and quantitative unit of complexity measurement. Contrasted to these mathematical approaches are various ad hoc measures based on different aspects of structure, which can work well but suffer from the same problem. The present manuscript is composed of two self-sufficient, yet related sections. In Section 1, we describe a complexity measure for binary strings which satisfies both these conditions (Aksentijevic–Gibson complexity; AG). We test the measure on a number of classic studies employing both short and long strings and draw attention to an important feature—a complexity profile—that could be of interest in modelling the psychological processing of structure as well as analysis of strings of any length. In Section 2 we discuss different factors affecting the complexity of visual form and showcase a 2D generalization of AG complexity. In addition, we provide algorithms in R that compute the AG complexity for binary strings and matrices and demonstrate their effectiveness on examples involving complexity judgments, symmetry perception, perceptual grouping, entropy, and elementary cellular automata. Finally, we enclose a repository of codes, data and stimuli for our example in order to facilitate experimentation and application of the measure in sciences outside psychology.
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spelling doaj.art-b89fa21ca3434f888dd9c587879a1a642023-11-20T02:48:06ZengMDPI AGSymmetry2073-89942020-06-0112694810.3390/sym12060948Time for Change: Implementation of Aksentijevic-Gibson Complexity in PsychologyAleksandar Aksentijevic0Anja Mihailovic1Dragutin T. Mihailovic2Department of Psychology, University of Roehampton, Whitelands College, Holybourne Avenue, London SW154JD, UKIndependent researcher, Železnička 46, 21000 Novi Sad, SerbiaFaculty of Agriculture, University of Novi Sad, 21000 Novi Sad, SerbiaGiven that complexity is critical for psychological processing, it is somewhat surprising that the field was dominated for a long time by probabilistic methods that focus on the quantitative aspects of the source/output. Although the more recent approaches based on the Minimum Description Length principle have produced interesting and useful models of psychological complexity, they have not directly defined the meaning and quantitative unit of complexity measurement. Contrasted to these mathematical approaches are various ad hoc measures based on different aspects of structure, which can work well but suffer from the same problem. The present manuscript is composed of two self-sufficient, yet related sections. In Section 1, we describe a complexity measure for binary strings which satisfies both these conditions (Aksentijevic–Gibson complexity; AG). We test the measure on a number of classic studies employing both short and long strings and draw attention to an important feature—a complexity profile—that could be of interest in modelling the psychological processing of structure as well as analysis of strings of any length. In Section 2 we discuss different factors affecting the complexity of visual form and showcase a 2D generalization of AG complexity. In addition, we provide algorithms in R that compute the AG complexity for binary strings and matrices and demonstrate their effectiveness on examples involving complexity judgments, symmetry perception, perceptual grouping, entropy, and elementary cellular automata. Finally, we enclose a repository of codes, data and stimuli for our example in order to facilitate experimentation and application of the measure in sciences outside psychology.https://www.mdpi.com/2073-8994/12/6/948complexitypattern perceptionperceptual dynamicssymmetryAksentijevic-Gibson complexityKolmogorov complexity
spellingShingle Aleksandar Aksentijevic
Anja Mihailovic
Dragutin T. Mihailovic
Time for Change: Implementation of Aksentijevic-Gibson Complexity in Psychology
Symmetry
complexity
pattern perception
perceptual dynamics
symmetry
Aksentijevic-Gibson complexity
Kolmogorov complexity
title Time for Change: Implementation of Aksentijevic-Gibson Complexity in Psychology
title_full Time for Change: Implementation of Aksentijevic-Gibson Complexity in Psychology
title_fullStr Time for Change: Implementation of Aksentijevic-Gibson Complexity in Psychology
title_full_unstemmed Time for Change: Implementation of Aksentijevic-Gibson Complexity in Psychology
title_short Time for Change: Implementation of Aksentijevic-Gibson Complexity in Psychology
title_sort time for change implementation of aksentijevic gibson complexity in psychology
topic complexity
pattern perception
perceptual dynamics
symmetry
Aksentijevic-Gibson complexity
Kolmogorov complexity
url https://www.mdpi.com/2073-8994/12/6/948
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