Toward formal models of biologically inspired, highly parallel machine cognition

References

• Aiello , W. , Chung , F. and Lu , L. 2000 . “ A random graph model for massive graphs ” . In Proceedings of the 32nd Annual ACM Symposium on the Theory of Computing
   Google Scholar
• Albert , R. and Barabasi , A. 2002 . Statistical mechanics of complex networks . Rev. Mod. Phys. , 74 : 47 – 97 .
   Web of Science ®Google Scholar
• K. Asanovic et al., The landscape of parallel computing research: A view from Berkeley (2006). Available at http://www.eecs.berkeley.edu/Pubs/TechRpts/2006/EECS-2006-183.pdf
   Google Scholar
• Ash , R. 1990 . Information Theory , New York : Dover Publications .
   Google Scholar
• Atlan , H. and Cohen , I. 1998 . Immune information, self-organization and meaning . Int. Immunol. , 10 : 711 – 717 .
   PubMed Web of Science ®Google Scholar
• Auslander , L. 1967 . Differential Geometry , New York : Harper and Row .
   Google Scholar
• Baars , B. 1988 . A Cognitive Theory of Consciousness , New York : Cambridge University Press .
   Google Scholar
• Baars , B. 2005 . Global workspace theory of consciousness: Toward a cognitive neuroscience of human experience . Prog. Brain Res. , 150 : 45 – 53 .
   PubMed Web of Science ®Google Scholar
• B. Baars and S. Franklin, How conscious experience and working memory interact, Trends Cogn. Science 7 (2003), pp. 166–172
   Google Scholar
• Bak , A. 2006 . Global actions, groupoid atlases and related topics . J. Homotopy Relat. Struct. , 1 : 1 – 54 . Available from ArXiv depository
   Google Scholar
• Bennett , M. and Hacker , P. 2003 . Philosophical Foundations of Neuroscience , London : Blackwell Publishing .
   Google Scholar
• Binney , J. 1986 . Theory of Critical Phenomena , Oxford : Clarendon Press .
   Google Scholar
• Branke , J. 2006 . “ Organic computing – addressing complexity by controlled self-organization ” . In Proceedings of IsoLA2006 Edited by: Tiziana , M. , Philippou , A. and Steffen , B. 200 – 206 . Paphos, Cyprus
   Google Scholar
• Brown , R. 1987 . From groups to groupoids: A brief survey . Bull. Lond. Math. Soc. , 19 : 113 – 134 .
   Web of Science ®Google Scholar
• Burago , D. , Burago , Y. and Ivanov , S. 2001 . A Course in Metric Geometry , Providence : American Mathematical Society .
   Google Scholar
• Butler , D. 2007 . The petaflop challenge . Nature , 448 : 6 – 7 . 5 July
   Google Scholar
• Byrk , A. and Raudenbusch , S. 2001 . Hierarchical Linear Models: Applications and Data Analysis Methods , New York : Sage Publications .
   Google Scholar
• Cannas Da Silva , A. and Weinstein , A. 1999 . Geometric Models for Noncommutative Algebras , New York : American Mathematical Society .
   Google Scholar
• Cohen , I. 2000 . Tending Adam's Garden: Evolving the Cognitive Immune Self , New York : Academic Press .
   Google Scholar
• Cohen , T. 2006 . A cognitive blueprint of collaboration in context: Distributed cognition in the psychiatric emergency department . Artif. Intell. Med. , 37 : 73 – 83 .
   PubMed Web of Science ®Google Scholar
• Connes , A. 1994 . Noncommutative Geometry , San Diego : Academic Press .
   Google Scholar
• Cover , T. and Thomas , J. 1991 . Elements of Information Theory , New York : John Wiley and Sons .
   Google Scholar
• Dehaene , S. and Naccache , L. 2001 . Towards a cognitive neuroscience of consciousness: Basic evidence and a workspace framework . Cognition , 79 : 1 – 37 .
   PubMed Web of Science ®Google Scholar
• Dehaene , S. and Changeux , J. 2005 . Ongoing spontaneous activity controls access to consciousness: A neuronal model for inattentional blindness . PLOS Biol. , 3 : e141
   PubMedGoogle Scholar
• Dembo , A. and Zeitouni , O. 1998 . Large Deviations: Techniques and Applications , 2nd ed. , New York : Springer .
   Google Scholar
• I. Dobson, Where is the edge for cascading failure?: Challenges and opportunities for quantifying blackout risk, IEEE Power Engineering Society General Meeting. Tampa, FL, USA, June, 2007. Available at Email: [email protected]
   Google Scholar
• Dretske , F. 1981 . Knowledge and the Flow of Information , Cambridge, MA : MIT Press .
   Google Scholar
• Dretske , F. 1988 . Explaining Behavior , Cambridge, MA : MIT Press .
   Google Scholar
• Dretske , F. 1993 . “ Mental events as structuring causes of behavior ” . In Mental Causation , Edited by: Mele , A. and Heil , J. 121 – 136 . Oxford : Oxford University Press .
   Google Scholar
• Dretske , F. 1994 . The explanatory role of information . Philos. Trans. Roy. Soc. A , 349 : 59 – 70 .
   Web of Science ®Google Scholar
• Emery , M. 1989 . Stochastic Calculus in Manifolds , New York : Universitext series, Springer-Verlag .
   Google Scholar
• P. Erdos and A. Renyi, On the evolution of random graphs, reprinted in The Art of Counting, 1973, 574–618 and in Selected Papers of Alfred Renyi, 1976, 482–525 (1960)
   Google Scholar
• Feynman , R. 1996 . Feynman Lectures on Computation , Reading, MA : Addison-Wesley, Reading .
   Google Scholar
• Freeman , W. 2003 . The wave packet: an action potential of the 21st century . J. Integr. Neurosci. , 2 : 3 – 30 .
   Google Scholar
• Fullilove , M. 2004 . Root Shock , New York : Ballantine Books .
   Google Scholar
• J. Glazebrook, Rate distortion manifolds as model spaces for cognitive information, submitted (2007)
   Google Scholar
• Golubitsky , M. and Stewart , I. 2006 . Nonlinear dynamics and networks: The groupoid formalism . Bull. Amer. Math. Soc. , 43 : 305 – 364 .
   Web of Science ®Google Scholar
• Goubault , E. 2003 . Some geometric perspectives in concurrency theory . Homol. Homot. Appl. , 5 : 95 – 136 .
   Google Scholar
• Goubault , E. and Raussen , M. 2002 . “ Dihomotopty as a tool in state space analysis ” . In Lecture Notes in Computer Science , Vol. 2286 , 16 – 37 . New York : Springer . April 2002
   Google Scholar
• Granovetter , M. 1973 . The strength of weak ties . Amer. J. Sociol. , 78 : 1360 – 1380 .
   Google Scholar
• Grimmett , G. and Stacey , A. 1998 . Critical probabilities for site and bond percolation models . Ann. Probab. , 4 : 1788 – 1812 .
   Google Scholar
• Gunderson , L. 2000 . Ecological resilience – in theory and application . Annu. Rev. Ecol. Syst. , 31 : 425 – 439 .
   Google Scholar
• Hartl , D. and Clark , A. 1997 . Principles of Population Genetics , Sunderland, MA : Sinaur Associates .
   Google Scholar
• Hollan , J. , Hutchins , J. and Kirsch , D. 2000 . Distributed cognition: Toward a new foundation for human – computer interaction research . ACM Trans. Comput. Hum. Interact. , 7 : 174 – 196 .
   Google Scholar
• Holling , C. 1973 . Resilience and stability of ecological systems . Annu. Rev. Ecol. Syst. , 4 : 1 – 23 .
   Google Scholar
• Hutchins , E. 1994 . Cognition in the Wild , Cambridge, MA : MIT Press .
   Google Scholar
• Khinchin , A. 1957 . Mathematical Foundations of Information Theory , New York : Dover Publications .
   Google Scholar
• Kinney , R. 2005 . Modeling cascading failures in the North American power grid . Eur. Phys. J. B , 46 : 101 – 107 .
   Web of Science ®Google Scholar
• Kozma , R. 2004 . Neuropercolation: A random cellular automata approach to spatio-temporal neurodynamics . Lect. Notes Comput. Sci. , 3305 : 435 – 443 .
   Google Scholar
• Kozma , R. 2005 . Phase transitions in the neuropercolation model of neural populations with mixed local and non-local interactions . Biol. Cybernet. , 92 : 367 – 379 .
   PubMedGoogle Scholar
• Krebs , P. “ Models of cognition: Neurological possibility does not indicate neurological plausibility ” . In Proceedings of CogSci 2005 Edited by: Bara , B. , Barsalou , L. and Bucciarelli , M. Stresa, Italy, 2005, pp. 1184–1189. Available at http://cogprints.org/4498/
   Google Scholar
• E. Krishnamurthy, Algorithmic entropy, phase transition, and smart systems, Comput. Sci.– ICCS 2003, Part III, Proc. Lect. Notes Comput. Sci.2659 (2003), pp. 333–342
   Google Scholar
• E.Krishnamurthy, Algorithmic entropy and smart systems, Intelligent Sensing and Information Processing, IEEE ISBN 0-7803-8243-9 (2004), pp. 175–180
   Google Scholar
• Krishnamurthy , E. and Murthy , V. 2005 . “ On engineering smart systems ” . In Knowledge-based Intelligent Information and Engineering Systems Vol. 3683 , 505 – 512 . Part 3, Proceedings Lecture Notes in Artificial Intelligence
   Google Scholar
• A. Laxmisan et al., The multitasking clinician; decision-making and cognitive demand during and after team handoffs in emergency care, Int. J. Med. Inform. 76 (2007), pp. 801–811
   Google Scholar
• Lee , J. 2000 . Introduction to Topological Manifolds , New York : Springer .
   Google Scholar
• Luczak , T. 1990 . On the number of sparse connected graphs, Random Struct. Alg. , 1 : 287
   Google Scholar
• Mack , A. 1998 . Inattentional Blindness , Cambridge, MA : MIT Press .
   Google Scholar
• Masuda , T. and Nisbett , R. 2006 . Culture and change blindness . Cogn. Sci. , 30 : 381 – 399 .
   PubMed Web of Science ®Google Scholar
• McCauly , L. 1993 . Chaos, Dynamics, and Fractals: An Algorithmic Approach to Deterministic Chaos , Cambridge : Cambridge University Press .
   Google Scholar
• Mnif , M. and Muller-Schloer , C. 2006 . “ Quantitative emergence ” . In Proceedings of the 2006 IEEE Mountain Workshop on Adaptive and Learning Systems 78 – 84 . IEEE SMCals2006
   Google Scholar
• Molloy , M. and Reed , B. 1995 . A critical point for random graphs with a given degree sequence . Random Struct. Alg. , 6 : 161 – 179 .
   Web of Science ®Google Scholar
• Molloy , M. and Reed , B. 1998 . The size of the giant component of a random graph with a given degree sequence . Comb. Probab. Comput. , 7 : 295 – 305 .
   Web of Science ®Google Scholar
• C. Muller-Schloer, Organic computing – on the feasibility of controlled emergence, CODES+OSSS'04, ACM 1-58113-937-3/04/009 (2004)
   Google Scholar
• Muller-Schloer , C. and Sick , B. 2006 . Emergence in organic computing systems: Discussion of a controversial concept Edited by: Yang . 1 – 16 . ATC 2006, LNCS 4158
   Google Scholar
• M. Newman, Properties of highly clustered networks, arXiv:cond-mat/0303183v1 (2003)
   Google Scholar
• Newman , M. , Strogatz , S. and Watts , D. 2001 . Random graphs with arbitrary degree distributions and their applications . Phys. Rev. E , 64 ( 026118 ) : 1 – 17 .
   Google Scholar
• Patel , V. 1998 . Individual to collaborative cognition: A paradigm shift? . Artif. Intell. Med. , 12 : 93 – 96 .
   Google Scholar
• Pohl , W. 1962 . Differential geometry of higher order . Topology , 1 : 169 – 211 .
   Google Scholar
• V. Pratt, Modeling concurrency with geometry, in Proceedings of the 18th ACM SIGPLAN-SIGACT Symposium on Principles of Programming Languages (1991), pp. 311–322
   Google Scholar
• Richerson , P. and Boyd , R. 2004 . Not by Genes Alone: How Culture Transformed Human Evolution , Chicago : Chicago University Press .
   Google Scholar
• Richter , U. 2006 . “ Towards a generic observer/controller architecture for organic computing ” . In INFORMATIK 2006 , Edited by: Hochberger , C. and Liskowsky , R. 112 Bonn, Germany : Gesllschaft fur Informatik . Lecture Notes in Informatics
   Google Scholar
• Ridley , M. 1996 . Evolution , 2nd ed. , Oxford : Blackwell Science .
   Google Scholar
• J. Savante et al., The birth of the giant component, arXiv:mathPR/9310236v1 (1993)
   Google Scholar
• H. Schmeck, Organic computing – a new vision for distributed embedded systems, in Proceedings of the Eighth IEEE International Symposium on Object-Oriented Real-Time Distributed Computing (ISORC'5), 0-7695-2356-0/05 (2005)
   Google Scholar
• Shirkov , D. and Kovalev , V. 2001 . The Bogoliubov renormalization group and solution symmetry in mathematical physics . Phys. Rep. , 352 : 219 – 249 .
   Google Scholar
• Simons , D. 2000 . Attentional capture and inattentional blindness . Trends Cogn. Sci. , 4 : 147 – 155 .
   PubMed Web of Science ®Google Scholar
• Simons , D. and Chabris , C. 1999 . Gorillas in our midst: Sustained inattentional blindness for dynamic events . Perception , 28 : 1059 – 1074 .
   PubMed Web of Science ®Google Scholar
• Stewart , I. 2004 . Networking opportunity . Nature , 427 : 601 – 604 .
   Google Scholar
• Stewart , I. , Golubitsky , M. and Pivato , M. 2003 . Symmetry groupoids and patterns of synchrony in coupled cell networks . SIAM J. Appl. Dyn. Syst. , 2 : 609 – 646 .
   Web of Science ®Google Scholar
• Tononi , G. 2004 . An information integration theory of consciousness . BMC Neurosci. , 5 : 42
   PubMedGoogle Scholar
• Wallace , R. 2000 . Language and coherent neural amplification in hierarchical systems: Renormalization and the dual information source of a generalized spatiotemporal stochastic resonance . Int. J. Bifur. Chaos , 10 : 493 – 502 .
   Web of Science ®Google Scholar
• Wallace , R. 2002 . Adaptation, punctuation, and information: A rate distortion approach to non-cognitive ‘learning plateaus’ in evolutionary process . Acta Biotheor. , textbf50 : 101 – 116 .
   Google Scholar
• Wallace , R. 2005a . Consciousness: A Mathematical Treatment of the Global Neuronal Workspace Model , New York : Springer .
   Google Scholar
• Wallace , R. 2005b . A global workspace perspective on mental disorders . Theor. Biol. Med. Model. , 2 : 49
   PubMed Web of Science ®Google Scholar
• R.Wallace, The sleep cycle: A mathematical analysis from a global workspace perspective (2005c). Available at http://cogprints.org/4517/
   Google Scholar
• Wallace , R. 2006 . Pitfalls in biological computing: Canonical and idiosyncratic dysfunction of conscious machines . Mind Matter , 4 : 91 – 113 .
   Google Scholar
• Wallace , R. 2007 . Culture and inattentional blindness: A global workspace perspective . J. Theor. Biol. , 245 : 378 – 390 .
   PubMed Web of Science ®Google Scholar
• Wallace , R. and Wallace , R.G. 1998 . Information theory, scaling laws, and the thermodynamics of evolution . J. Theor. Biol. , 192 : 545 – 559 .
   PubMed Web of Science ®Google Scholar
• Wallace , R. and Wallace , R.G. 1999 . Organisms, organizations and interactions: An information theory approach to biocultural evolution . BioSystems , 51 : 101 – 119 .
   Google Scholar
• Wallace , R. 2007 . Collective consciousness and its pathologies: Understanding the failure of AIDS control and treatment in the US . Theor. Biol. Med. Model. , 4 : 10
   Google Scholar
• Wayand , J. , Levin , D. and Alexander Varakin , D. 2005 . Inattentional blindness for a noxious multimodal stimulus . Amer. J. Psychol. , 118 : 339 – 352 .
   Google Scholar
• Weinstein , A. 1996 . Groupoids: Unifying internal and external symmetry . Not. Amer. Math. Assoc. , 43 : 744 – 752 .
   Google Scholar
• Wilson , K. 1971 . Renormalization group and critical phenomena. I. Renormalization group and the Kadanoff scaling picture . Phys. Rev. B , 4 : 3174 – 3183 .
   Web of Science ®Google Scholar