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Volumn 15, Issue 1, 2009, Pages 11-28

An information-theoretic primer on complexity, self-organization, and emergence

Author keywords

Adaptation; Assortativeness; Complexity; Emergence; Entropy rate; Excess entropy; Information theory; Predictive efficiency; Predictive information; Self organization

Indexed keywords


EID: 70349629569     PISSN: 10762787     EISSN: 10990526     Source Type: Journal    
DOI: 10.1002/cplx.20249     Document Type: Article
Times cited : (232)

References (73)
  • 1
    • 84856043672 scopus 로고
    • A mathematical theory of communication
    • Shannon, C.E. A mathematical theory of communication.The Bell Syst Tech J 1948, 27, 379-423, 623-656.
    • (1948) The Bell Syst Tech J , vol.27
    • Shannon, C.E.1
  • 3
    • 18744389789 scopus 로고    scopus 로고
    • Assortative mixing in networks
    • Newman, M.E.J.Assortative mixing in networks. Phys Rev Lett 2002, 89, 208701.
    • (2002) Phys Rev Lett , vol.89 , pp. 208701
    • Newman, M.E.J.1
  • 4
    • 33644851967 scopus 로고    scopus 로고
    • Information theory of complex networks:on evolution and architectural constraints
    • In, Ben-Naim, E.; Frauenfelder, H.; Toroczkai, Z., Eds., Springer: Berlin
    • Sole, R.V.; Valverde, S. Information theory of complex networks:on evolution and architectural constraints, In Complex Networks, Vol.650: Lecture Notes in Physics; Ben-Naim, E.; Frauenfelder, H.; Toroczkai, Z., Eds.; Springer: Berlin, 2004.
    • (2004) Complex Networks , vol.650
    • Sole, R.V.1    Valverde, S.2
  • 5
    • 12944275674 scopus 로고    scopus 로고
    • Measuring information transfer
    • Schreiber, T. Measuring information transfer. Phys Rev Lett 2000, 85, 461.
    • (2000) Phys Rev Lett , vol.85 , pp. 461
    • Schreiber, T.1
  • 6
    • 40549120311 scopus 로고    scopus 로고
    • Local information transfer as a spatiotemporal filter for complex systems
    • Lizier, J.T.; Prokopenko, M.; Zomaya,A.Y. Local information transfer as a spatiotemporal filter for complex systems. Phys Rev E 2008, 77, 026110.
    • (2008) Phys Rev E , vol.77 , pp. 026110
    • Lizier, J.T.1    Prokopenko, M.2    Zomaya, A.Y.3
  • 7
    • 33750461243 scopus 로고    scopus 로고
    • Mapping information flow in sensorimotor networks
    • Lungarella, M.; Sporns, O. Mapping information flow in sensorimotor networks. PLoS Comput Biol 2006, e144.
    • (2006) PLoS Comput Biol , vol.e144
    • Lungarella, M.1    Sporns, O.2
  • 8
    • 44249118833 scopus 로고    scopus 로고
    • Information flows in causal networks
    • Ay, N.; Polani, D. Information flows in causal networks.Adv Complex Syst 2008, 11, 17-41.
    • (2008) Adv Complex Syst , vol.11 , pp. 17-41
    • Ay, N.1    Polani, D.2
  • 10
    • 7444227653 scopus 로고    scopus 로고
    • Phase transitions in self-organising sensor networks
    • Lecture Notes in Artificial Intelligence; Banzhaf, W.; Christaller, T.; Dittrich, P.; Kim, J.T.; Ziegler, J., Eds.; Springer Verlag: Berlin
    • Foreman, M.; Prokopenko, M.; Wang, P. Phase transitions in self-organising sensor networks, In: Advances in Artificial Life-Proceedings of the 7th European Conference on Artificial Life (ECAL), Vol. 2801: Lecture Notes in Artificial Intelligence; Banzhaf, W.; Christaller, T.; Dittrich, P.; Kim, J.T.; Ziegler, J., Eds.; Springer Verlag: Berlin, 2003, pp. 781-791.
    • (2003) Advances in artificial life-proceedings of the 7th European conference on artificial life (ECAL), Vol. 2801 , pp. 781-791
    • Foreman, M.1    Prokopenko, M.2    Wang, P.3
  • 12
    • 33645958837 scopus 로고    scopus 로고
    • All else being equal be empowered
    • LNCS; Capcarr'ere, M.S.; Freitas,A.A.; Bentley, P.J.; Johnson, C.G.; Timmis, J., Eds.; Springer: Berlin
    • Klyubin, A.S.; Polani, D.; Nehaniv, C.L. All else being equal be empowered. In: Advances in Artificial Life, 8th European Conference, ECAL 2005, Vol. 3630: LNCS; Capcarr'ere, M.S.; Freitas,A.A.; Bentley, P.J.; Johnson, C.G.; Timmis, J., Eds.; Springer: Berlin, 2005, pp. 744-753.
    • (2005) Advances in artificial life, 8th European Conference, ECAL 2005, Vol. 3630 , pp. 744-753
    • Klyubin, A.S.1    Polani, D.2    Nehaniv, C.L.3
  • 14
    • 33749664968 scopus 로고    scopus 로고
    • Evolving spatiotemporal coordination in a modular robotic system
    • In, Rome, Italy, September, Lecture Notes in Computer Science, Nolfi, S., Baldassarre, G., Calabretta, R., Hallam, J., Marocco, D., Meyer, J.-A., Parisi, D., Eds.; Springer Verlag: Berlin, 2006, pp. 558-569
    • Prokopenko, M.; Gerasimov, V.; Tanev, I. Evolving spatiotemporal coordination in a modular robotic system, In: From Animals to Animats 9: 9th International Conference on the Simulation of Adaptive Behavior(SAB2006), Rome, Italy, September 25-29 2006, Vol. 4095: Lecture Notes in Computer Science, Nolfi, S., Baldassarre, G., Calabretta, R., Hallam, J., Marocco, D., Meyer, J.-A., Parisi, D., Eds.; Springer Verlag: Berlin, 2006, pp. 558-569.
    • (2006) From animals to animats 9: 9th international conference on the simulation of adaptive behavior(SAB2006) , vol.4095 , pp. 25-29
    • Prokopenko, M.1    Gerasimov, V.2    Tanev, I.3
  • 20
    • 37349031456 scopus 로고    scopus 로고
    • Mapping the complexity of ecological models
    • Boschetti, F. Mapping the complexity of ecological models. Ecol Complexity 2008, 5, 37-47.
    • (2008) Ecol Complexity , vol.5 , pp. 37-47
    • Boschetti, F.1
  • 23
    • 0016082450 scopus 로고
    • Information-theoretic limitations of formal systems
    • Chaitin, G.J. Information-theoretic limitations of formal systems. J ACM 1974, 21, 403-424.
    • (1974) J ACM , vol.21 , pp. 403-424
    • Chaitin, G.J.1
  • 24
    • 0000909837 scopus 로고
    • Inferring statistical complexity
    • Crutchfield, J.P.; Young, K. Inferring statistical complexity. Phys Rev Lett 1989, 63,105-108.
    • (1989) Phys Rev Lett , vol.63 , pp. 105-108
    • Crutchfield, J.P.1    Young, K.2
  • 25
    • 0042317681 scopus 로고
    • Toward a quantitative theory of selfgenerated complexity
    • Grassberger, P.Toward a quantitative theory of selfgenerated complexity. Int J Theor Phys 1986, 25, 907-938.
    • (1986) Int J Theor Phys , vol.25 , pp. 907-938
    • Grassberger, P.1
  • 26
    • 0000712133 scopus 로고    scopus 로고
    • Predictability:A way to characterize complexity
    • Boffetta, G.; Cencini, M.; Falcioni, M.; Vulpiani,A. Predictability:A way to characterize complexity. Phys Rep 2002, 356, 367-474.
    • (2002) Phys Rep , vol.356 , pp. 367-474
    • Boffetta, G.1    Cencini, M.2    Vulpiani, A.3
  • 27
    • 0035894670 scopus 로고    scopus 로고
    • Complexity through nonextensivity
    • Bialek, W.; Nemenman, I.; Tishby, N. Complexity through nonextensivity. Physica A 2001,302,89-99.
    • (2001) Physica A , vol.302 , pp. 89-99
    • Bialek, W.1    Nemenman, I.2    Tishby, N.3
  • 28
    • 48749145105 scopus 로고
    • Symbolic dynamics of noisy chaos
    • Crutchfield, J.P.; Packard, N.H. Symbolic dynamics of noisy chaos. Physica D 1983, 7, 201-223.
    • (1983) Physica D , vol.7 , pp. 201-223
    • Crutchfield, J.P.1    Packard, N.H.2
  • 29
    • 0000147795 scopus 로고    scopus 로고
    • Statistical complexity of simple one-dimensional spin systems
    • Crutchfield, J.P.; Feldman, D.P. Statistical complexity of simple one-dimensional spin systems. Phys Rev E 1997, 55, R1239-R1243.
    • (1997) Phys Rev E , vol.55
    • Crutchfield, J.P.1    Feldman, D.P.2
  • 31
    • 0003170485 scopus 로고
    • Complexity measures and cellular automata
    • Lindgren, K.; Norhdal, M.G. Complexity measures and cellular automata. Complex Syst 1988, 2, 409-440.
    • (1988) Complex Syst , vol.2 , pp. 409-440
    • Lindgren, K.1    Norhdal, M.G.2
  • 32
    • 0000193029 scopus 로고
    • Structural information in self-organizing systems
    • Eriksson, K-E.; Lindgren, K. Structural information in self-organizing systems. Phys Scripta 1987, 35, 388-397.
    • (1987) Phys Scripta , vol.35 , pp. 388-397
    • Eriksson, K-E.1    Lindgren, K.2
  • 33
    • 0001177156 scopus 로고
    • On the relationship between complexity and entropy for Markov chains and regular languages
    • Li, W. On the relationship between complexity and entropy for Markov chains and regular languages. Complex Syst 1991, 5, 381-399.
    • (1991) Complex Syst , vol.5 , pp. 381-399
    • Li, W.1
  • 34
    • 0002087460 scopus 로고    scopus 로고
    • Information-theoretic analysis of phase transitions
    • Arnold, D. Information-theoretic analysis of phase transitions. Complex Systems 1996, 10, 143-155.
    • (1996) Complex Systems , vol.10 , pp. 143-155
    • Arnold, D.1
  • 35
    • 0035514587 scopus 로고    scopus 로고
    • Predictability, complexity, and learning
    • Bialek, W.; Nemenman, I.; Tishby, N. Predictability, complexity, and learning. Neur Comp 2001, 13, 2409-2463.
    • (2001) Neur Comp , vol.13 , pp. 2409-2463
    • Bialek, W.1    Nemenman, I.2    Tishby, N.3
  • 36
    • 0000651768 scopus 로고    scopus 로고
    • Cosma Rohilla Shalizi Thermodynamic depth of causal states: Objective complexity via minimal representations
    • James P. Crutchfield; Cosma Rohilla Shalizi Thermodynamic depth of causal states: Objective complexity via minimal representations. Phys Rev E 1999, 59, 275-283.
    • (1999) Phys Rev E , vol.59 , pp. 275-283
    • James Crutchfield, P.1
  • 37
    • 0035429965 scopus 로고    scopus 로고
    • Computational mechanics: Pattern and prediction, structure and simplicity
    • Shalizi, C.R.; Crutchfield, J.P. Computational mechanics: Pattern and prediction, structure and simplicity. J Stat Phys 2001, 104, 819-881.
    • (2001) J Stat Phys , vol.104 , pp. 819-881
    • Shalizi, C.R.1    Crutchfield, J.P.2
  • 38
    • 37349130028 scopus 로고    scopus 로고
    • Optimal nonlinear prediction of random fields on networks
    • AB(DMCS)
    • Shalizi, C.R.; Shalizi, K.L. Optimal nonlinear prediction of random fields on networks. Discrete Math Theor Comput Sci 2003,AB(DMCS), 11-30.
    • (2003) Discrete Math Theor Comput Sci , pp. 11-30
    • Shalizi, C.R.1    Shalizi, K.L.2
  • 39
    • 0042993796 scopus 로고    scopus 로고
    • Causal architecture, complexity and self-organization in time series and cellular automata
    • PhD thesis, University of Michigan
    • Shalizi, C. Causal architecture, complexity and self-organization in time series and cellular automata. PhD thesis, University of Michigan, 2001.
    • (2001)
    • Shalizi, C.1
  • 40
    • 26044446018 scopus 로고    scopus 로고
    • Language extraction from ZnS
    • Phd thesis, University of Tennessee
    • Varn, D.P. Language extraction from ZnS. Phd thesis, University of Tennessee, 2001.
    • (2001)
    • Varn, D.P.1
  • 41
    • 33748305440 scopus 로고    scopus 로고
    • Blind construction of optimal nonlinear recursive predictors for discrete sequences
    • In Chickering, M.; Joseph Halpern, J., Eds.; AUAI Press:Arlington,Virginia, pp
    • Shalizi, C.R.; Shalizi, K.L. Blind construction of optimal nonlinear recursive predictors for discrete sequences, In: Uncertainty in Artificial Intelligence: Proceedings of the Twentieth Conference; Chickering, M.; Joseph Halpern, J., Eds.; AUAI Press:Arlington,Virginia, 2004, pp. 504-511.
    • (2004) Uncertainty in artificial intelligence: Proceedings of the twentieth conference , pp. 504-511
    • Shalizi, C.R.1    Shalizi, K.L.2
  • 43
    • 0037357392 scopus 로고    scopus 로고
    • Regularities unseen, randomness observed: Levelsof entropy convergence
    • Crutchfield, J.P.; Feldman, D.P. Regularities unseen, randomness observed: Levelsof entropy convergence. Chaos 2003, 13, 25-54.
    • (2003) Chaos , vol.13 , pp. 25-54
    • Crutchfield, J.P.1    Feldman, D.P.2
  • 44
    • 0001494176 scopus 로고
    • Entropy per unit time as a metric invariant of automorphisms
    • Kolmogorov, A.N. Entropy per unit time as a metric invariant of automorphisms. Doklady Akademii Nauk SSSR 1959, 124, 754-755.
    • (1959) Doklady Akademii Nauk SSSR , vol.124 , pp. 754-755
    • Kolmogorov, A.N.1
  • 45
    • 0031275989 scopus 로고    scopus 로고
    • Prediction and entropy of nonlinear dynamical systems and symbolic sequences with lro
    • Ebeling, W. Prediction and entropy of nonlinear dynamical systems and symbolic sequences with lro. Physica D 1997, 109, 42-52.
    • (1997) Physica D , vol.109 , pp. 42-52
    • Ebeling, W.1
  • 46
    • 42749100435 scopus 로고    scopus 로고
    • Structural information in two-dimensional patterns: Entropy convergence and excess entropy
    • Feldman, D.P.; Crutchfield, J.P. Structural information in two-dimensional patterns: Entropy convergence and excess entropy. Phys Rev E 2003, 67, 051104.
    • (2003) Phys Rev E , vol.67 , pp. 051104
    • Feldman, D.P.1    Crutchfield, J.P.2
  • 48
    • 0000207615 scopus 로고
    • On the strength of connectedness of random graphs
    • Erdos, P.; Renyi,A. On the strength of connectedness of random graphs. Acta Math Sci Hungary 1961, 12, 261-267.
    • (1961) Acta Math Sci Hungary , vol.12 , pp. 261-267
    • Erdos, P.1    Renyi, A.2
  • 51
    • 77649245310 scopus 로고    scopus 로고
    • Emergence versus self-organisation: Different concepts but promising when combined
    • In, Brueckner, S.; Serugendo, G.D.M.; Karageorgos,A.; Nagpal, R., Eds.; Springer: Berlin
    • T De Wolf; Holvoet, T. Emergence versus self-organisation: Different concepts but promising when combined. In: Engineering Self-Organising Systems; Brueckner, S.; Serugendo, G.D.M.; Karageorgos,A.; Nagpal, R., Eds.; Springer: Berlin, 2005, pp. 1-15.
    • (2005) Engineering Self-Organising Systems , pp. 1-15
    • de Wolf, T.1    Holvoet, T.2
  • 52
    • 18144396405 scopus 로고    scopus 로고
    • Quantifying self-organization with optimal predictors
    • Shalizi, C.R.; Shalizi, K.L.; Haslinger, R. Quantifying self-organization with optimal predictors. Phys Rev Lett 2004, 93, 11870114.
    • (2004) Phys Rev Lett , vol.93 , pp. 11870114
    • Shalizi, C.R.1    Shalizi, K.L.2    Haslinger, R.3
  • 54
    • 0003737454 scopus 로고    scopus 로고
    • Oxford University Press: Oxford
    • Kauffman, S.A. Investigations; Oxford University Press: Oxford, 2000.
    • (2000) Investigations
    • Kauffman, S.A.1
  • 56
    • 84924704709 scopus 로고    scopus 로고
    • Robustness and Evolvability in Living Systems
    • Princeton University Press Princeton, NJ
    • Wagner,A. Robustness and Evolvability in Living Systems; Princeton University Press: Princeton, NJ, 2005.
    • (2005)
    • Wagner, A.1
  • 57
    • 34247100299 scopus 로고    scopus 로고
    • Robustness and complexity co-constructed in multimodal signalling networks
    • Ay, N.; Flack, J.; Krakauer, D. Robustness and complexity co-constructed in multimodal signalling networks. Philos Trans R Soc B 2007, 362, 441-447.
    • (2007) Philos Trans R Soc B , vol.362 , pp. 441-447
    • Ay, N.1    Flack, J.2    Krakauer, D.3
  • 60
    • 85020216227 scopus 로고    scopus 로고
    • The re-emergence of "emergence": A venerable concept in search of a theory
    • Corning, P.A. The re-emergence of "emergence":A venerable concept in search of a theory. Complexity 2002, 7, 18-30.
    • (2002) Complexity , vol.7 , pp. 18-30
    • Corning, P.A.1
  • 62
    • 33845297701 scopus 로고
    • The calculi of emergence: Computation, dynamics, and induction
    • Crutchfield, J.The calculi of emergence: Computation, dynamics, and induction. Physica D 1994, 75, 11-54.
    • (1994) Physica D , vol.75 , pp. 11-54
    • Crutchfield, J.1
  • 65
    • 0002403043 scopus 로고
    • Universal Darwinism
    • In, Bendall, D.S., Ed., Cambridge University Press
    • Dawkins, R. Universal Darwinism, In: Evolution from Molecules to Men, Bendall, D.S., Ed.; Cambridge University Press, 1983.
    • (1983) Evolution from molecules to men
    • Dawkins, R.1
  • 66
    • 0036905397 scopus 로고    scopus 로고
    • What is complexity?
    • Adami, C.What is complexity? Bioessays 2002, 24, 1085-1094.
    • (2002) Bioessays , vol.24 , pp. 1085-1094
    • Adami, C.1
  • 70
    • 0345274743 scopus 로고    scopus 로고
    • Genes, Experience and What Makes Us Human; Fourth Estate
    • Ridley, M. Nature Via Nurture: Genes, Experience and What Makes Us Human; Fourth Estate, 2003.
    • (2003) Nature Via Nurture
    • Ridley, M.1
  • 71
    • 0020495993 scopus 로고
    • Universality and complexity in cellular automata
    • Wolfram, S. Universality and complexity in cellular automata. Physica D 1984, 10, 1-35.
    • (1984) Physica D , vol.10 , pp. 1-35
    • Wolfram, S.1
  • 72
    • 84967695713 scopus 로고
    • Chaos, godel and truth
    • Randomness, Prediction, and Explanation in Science; Casti, J.L.; Karlqvist,A., Eds.; CRC Press: London
    • Casti, J.L. Chaos, godel and truth, In: Beyond Belief: Randomness, Prediction, and Explanation in Science; Casti, J.L.; Karlqvist,A., Eds.; CRC Press: London, 1991.
    • (1991) Beyond Belief
    • Casti, J.L.1
  • 73
    • 3042581743 scopus 로고
    • Computation at the edge of chaos: Phase transitions and emergent computation
    • Forest, S. Ed.; MIT: Cambridge, MA
    • Langton, C. Computation at the edge of chaos: Phase transitions and emergent computation, In Emergent Computation; Forest, S. Ed.; MIT: Cambridge, MA, 1991.
    • (1991) Emergent Computation
    • Langton, C.1


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