A Fisher information study of phase transitions in random Boolean networks

X. Rosalind Wang; Joseph T. Lizier; Mikhail Prokopenko

A Fisher information study of phase transitions in random Boolean networks

X. Rosalind Wang, Joseph T. Lizier, Mikhail Prokopenko

Western Sydney University

Research output: Chapter in Book / Conference Paper › Conference Paper › peer-review

7 Citations (Scopus)

Abstract

![CDATA[We study the order-chaos phase transition in random Boolean networks (RBNs), which have been used as models of gene regulatory networks. In particular we seek to characterise the phase diagram in information-theoretic terms, focussing on the effect of the control parameters (activity level and connectivity). Fisher information, which measures how much system dynamics reveal about its parameters, offers a natural interpretation of the phase diagram in RBNs. We report that this measure is maximised near the critical state in the order-chaos phase transitions in RBNs, since this is the region where the system is most sensitive to its parameters. Furthermore, we use this study of RBNs to clarify the relationship between Shannon and Fisher information measures.]]

Original language	English
Title of host publication	Artificial Life XII: Proceedings of the 12th International Conference on the Synthesis and Simulation of Living Systems, University of Southern Denmark, Odense, August 19 - 23, 2010
Publisher	MIT Press
Pages	305-312
Number of pages	8
ISBN (Print)	9780262290753
Publication status	Published - 2010
Event	International Conference on Artificial Life - Duration: 19 Aug 2010 → …

Conference

Conference	International Conference on Artificial Life
Period	19/08/10 → …

Open Access - Access Right Statement

Licensed under Creative Commons Attribution-NonCommercial-NoDerivs 3.0 United States (https://creativecommons.org/licenses/by-nc-nd/3.0/us/)

Keywords

artificial life
information theory
neural networks (computer science)
phase diagrams

Cite this

@inproceedings{15bee25a5f884e11959a7ef1418a5466,

title = "A Fisher information study of phase transitions in random Boolean networks",

abstract = "![CDATA[We study the order-chaos phase transition in random Boolean networks (RBNs), which have been used as models of gene regulatory networks. In particular we seek to characterise the phase diagram in information-theoretic terms, focussing on the effect of the control parameters (activity level and connectivity). Fisher information, which measures how much system dynamics reveal about its parameters, offers a natural interpretation of the phase diagram in RBNs. We report that this measure is maximised near the critical state in the order-chaos phase transitions in RBNs, since this is the region where the system is most sensitive to its parameters. Furthermore, we use this study of RBNs to clarify the relationship between Shannon and Fisher information measures.]]",

keywords = "artificial life, information theory, neural networks (computer science), phase diagrams",

author = "Wang, {X. Rosalind} and Lizier, {Joseph T.} and Mikhail Prokopenko",

year = "2010",

language = "English",

isbn = "9780262290753",

pages = "305--312",

booktitle = "Artificial Life XII: Proceedings of the 12th International Conference on the Synthesis and Simulation of Living Systems, University of Southern Denmark, Odense, August 19 - 23, 2010",

publisher = "MIT Press",

note = "International Conference on Artificial Life ; Conference date: 19-08-2010",

}

Wang, XR, Lizier, JT & Prokopenko, M 2010, A Fisher information study of phase transitions in random Boolean networks. in Artificial Life XII: Proceedings of the 12th International Conference on the Synthesis and Simulation of Living Systems, University of Southern Denmark, Odense, August 19 - 23, 2010. MIT Press, pp. 305-312, International Conference on Artificial Life, 19/08/10.

A Fisher information study of phase transitions in random Boolean networks. / Wang, X. Rosalind; Lizier, Joseph T.; Prokopenko, Mikhail.
Artificial Life XII: Proceedings of the 12th International Conference on the Synthesis and Simulation of Living Systems, University of Southern Denmark, Odense, August 19 - 23, 2010. MIT Press, 2010. p. 305-312.

Research output: Chapter in Book / Conference Paper › Conference Paper › peer-review

TY - GEN

T1 - A Fisher information study of phase transitions in random Boolean networks

AU - Wang, X. Rosalind

AU - Lizier, Joseph T.

AU - Prokopenko, Mikhail

PY - 2010

Y1 - 2010

N2 - ![CDATA[We study the order-chaos phase transition in random Boolean networks (RBNs), which have been used as models of gene regulatory networks. In particular we seek to characterise the phase diagram in information-theoretic terms, focussing on the effect of the control parameters (activity level and connectivity). Fisher information, which measures how much system dynamics reveal about its parameters, offers a natural interpretation of the phase diagram in RBNs. We report that this measure is maximised near the critical state in the order-chaos phase transitions in RBNs, since this is the region where the system is most sensitive to its parameters. Furthermore, we use this study of RBNs to clarify the relationship between Shannon and Fisher information measures.]]

AB - ![CDATA[We study the order-chaos phase transition in random Boolean networks (RBNs), which have been used as models of gene regulatory networks. In particular we seek to characterise the phase diagram in information-theoretic terms, focussing on the effect of the control parameters (activity level and connectivity). Fisher information, which measures how much system dynamics reveal about its parameters, offers a natural interpretation of the phase diagram in RBNs. We report that this measure is maximised near the critical state in the order-chaos phase transitions in RBNs, since this is the region where the system is most sensitive to its parameters. Furthermore, we use this study of RBNs to clarify the relationship between Shannon and Fisher information measures.]]

KW - artificial life

KW - information theory

KW - neural networks (computer science)

KW - phase diagrams

UR - https://hdl.handle.net/1959.7/uws:54385

M3 - Conference Paper

SN - 9780262290753

SP - 305

EP - 312

BT - Artificial Life XII: Proceedings of the 12th International Conference on the Synthesis and Simulation of Living Systems, University of Southern Denmark, Odense, August 19 - 23, 2010

PB - MIT Press

T2 - International Conference on Artificial Life

Y2 - 19 August 2010

ER -

A Fisher information study of phase transitions in random Boolean networks

Abstract

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Open Access - Access Right Statement

Keywords

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