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Time and Self-Similar Structure in Behavior and Interactions: From Sequences to Symmetry and Fractals

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Discovering Hidden Temporal Patterns in Behavior and Interaction

Part of the book series: Neuromethods ((NM,volume 111))

Abstract

This chapter concerns the temporal structure of behavior and interaction amongst individuals as diverse as brain neurons and humans. It suggests a view of behavior and interaction in terms of recurrent self-similar tree structures, T-patterns, which thus have the basic characteristics of fractals and exemplify translation symmetry through the similarity of the recurrence of each, a view that is the basis for the special pattern (T-pattern) detection algorithms implemented in the THEME software especially developed for T-pattern detection. Derived concepts are defined and illustrated with special T-pattern diagrams. Some comparison is made with standard multivariate statistics methods. The analysis of Big Data and Tiny Data using this particular recurrent hierarchical and multiordinal pattern detection approach is discussed, as well as the use of T-pattern Analysis (TPA) to detect experimental effects that often remain hidden to standard statistical methods.

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References

  1. Devlin K (1997) Mathematics: the science of patterns: the search for order in life, mind and the universe. Scientific American Library

    Google Scholar 

  2. Posamentier AS, Lehmann I (2007) The fabulous Fibonacci numbers. Prometheus Books, New York, NY

    Google Scholar 

  3. Magnusson MS (1981) Temporal configuration analysis: detection of a meaningful underlying structure through artificial categorization of a real-time behavioral stream. Workshop on artificial intelligence Uppsala University. Part of a 1983 thesis at the Psychological Laboratory, University of Copenhagen. Communications. http://hbl.hi.is

  4. Magnusson MS (1996) Hidden real-time patterns in intra- and inter-individual behavior: description and detection. Eur J Psychol Assess 12(2):112–123

    Article  Google Scholar 

  5. Magnusson MS (2000) Discovering hidden time patterns in behavior: T-patterns and their detection. Behav Res Meth Instr Comput 32(1):93–110

    Article  CAS  Google Scholar 

  6. Magnusson MS (2004) Repeated patterns in behavior and other biological phenomena. In: Oller DK, Griebel U (eds) Evolution of communication systems: a comparative approach. The MIT Press, Cambridge, pp 111–128

    Google Scholar 

  7. Magnusson MS (2005) Understanding social interaction: discovering hidden structure with model and algorithms. In: Anolli L, Duncan S Jr, Magnusson MS, Riva G (eds) The hidden structure of interaction: from neurons to culture patterns. Volume 7. Emerging communication: studies in new technologies and practices in communication. ISBN: 1-58603-509-6, approx. p 300

    Google Scholar 

  8. Magnusson MS (2006) Structure and communication in interaction. In: Riva G, Anguera MT, Wiederhold BK, Mantovani F (eds) From communication to presence. Ios Press, Amsterdam, pp 127–146

    Google Scholar 

  9. Casarrubea M, Jonsson GK, Faulisi F, Sorbera F, Di Giovanni D, Benigno A, Crescimanno G, Magnusson MS (2015) T-Pattern analysis for the study of temporal structure of animal and human behavior: a comprehensive review. J Neurosci Methods 239:34–46

    Article  CAS  PubMed  Google Scholar 

  10. Nicol AU, Kendrick KM, Magnusson MS (2005) Communication within a neural network. In: Anolli L, Duncan Jr S, Magnusson MS, Riva G. ISBN: 1-58603-509-6, approx. p 300

    Google Scholar 

  11. Nicol AU, Segonds-Pichon A, Magnusson MS (2015) Complex spike patterns in olfactory bulb neuronal networks. J Neurosci Methods 8:4. doi:10.1016/j.jneumeth.2014.09.016

    Google Scholar 

  12. Rees M (1999) Just six numbers: the deep forces that shape the universe. Weidenfeld & Nicolson, London

    Google Scholar 

  13. Schumm BA (2004) Deep down things: the breathtaking beauty of particle physics. Johns Hopkins University Press, Baltimore, MD

    Google Scholar 

  14. Baryshev Y, Teerikorpi P (2002) Discovery of cosmic fractals. World Scientific Publishing, Singapore

    Book  Google Scholar 

  15. Sporns O (2012) Discovering the human connectome. The MIT Press, Cambridge, MA

    Google Scholar 

  16. Eibl-Eibesfeldt I (1970) Ethology, the biology of behavior. Holt, Rinehart and Winston, Austin, TX

    Google Scholar 

  17. Chomsky N (1957) Syntactic structures. De GruyterMouton, Mouton

    Google Scholar 

  18. Bateson PPG, Hinde RA (eds) (1976) Growing points in ethology. Cambridge University Press, Cambridge

    Google Scholar 

  19. Skinner BF (1969) Contingencies of reinforcement: a theoretical analysis. Appleton Century-Crofts, New York, NY

    Google Scholar 

  20. Miller GA, Galanter E, Pribram KH (1960) Plans and the structure of behavior. Henry Holt & Co., New York, NY

    Book  Google Scholar 

  21. McNeill D (2012) How language began: gesture and speech in human evolution. Cambridge University Press, Cambridge

    Book  Google Scholar 

  22. Pike KL (1967) Language in relation to a unified theory of the structure of human behaviour. Mouton, The Hague

    Google Scholar 

  23. Birdwhistell RL (1970) Kinesics and context: essays on body motion communication. Ballantine Books, New York, NY

    Google Scholar 

  24. McQuown N (ed) (1971) The natural history of an interview. Microfilm collection of manuscripts on cultural anthropology. Microfilm Department, Joseph Regenstein Library, University of Chicago, Chicago, IL, pp 95–98

    Google Scholar 

  25. Colgan PW (ed) (1978) Quantitative ethology. John Wiley & Sons, New York. NY

    Google Scholar 

  26. Monge PR, Cappella JN (eds) (1980) Multivariate techniques in human communication research. Academic, New York, NY

    Google Scholar 

  27. Bakeman R, Gottman JM (1986) Observing interaction: an introduction to sequential analysis. Cambridge University Press, Cambridge

    Google Scholar 

  28. Lewin K (1935) A dynamic theory of personality. McGraw Hill Book Company Inc., New York, NY

    Google Scholar 

  29. Tinbergen N (1963) On the aims and methods of ethology. Z Tierpsychol 20:410–433

    Article  Google Scholar 

  30. Tinbergen N (1966) Animal behaviour. Time-Life International Publ, New York, NY

    Google Scholar 

  31. Cosnier J (1971) Clefs pour la psychologie. Segher, Paris

    Google Scholar 

  32. Plety R (1985) Ethologie de l’interaction chez des enfants du 1er cycle de l’enseignement secondaire au cours d’un apprentissage des mathématiques en groupe dans la résolution de problèmes. Doctoral thesis (thèse d’état ès sciences), University Claude Bernard Lyon 1

    Google Scholar 

  33. Blurton Jones N (ed) (1972) Ethological studies of child behavior. Cambridge University Press, Cambridge

    Google Scholar 

  34. McGRew WC (1972) An ethological study of children's behavior. Academic, New York, NY

    Google Scholar 

  35. Montagner H (1971) Les communications interindividuelles dans les sociétés de guêpes. Journal de Psychologie normale et pathologique : intercommunications chez les animaux, nos. 3–4. Presses Universitaires de France, Paris, pp 281–296

    Google Scholar 

  36. Montagner H (2012) L'enfant et la communication: comment gestes, attitudes, vocalisations deviennent des messages. Collection: Enfances, Dunod 2012. EAN13:9782100577309, p 320

    Google Scholar 

  37. Montagner H, Magnusson M, Casagrande C, Restoin A, Bel JP, Nguyen Hoang P, Ruiz V, Delcourt S, Gauffier G, Epoulet B (1990) Une nouvelle méthode pour l’étude des organisateurs de comportement et des systèmes d’interaction du jeune enfant. Les premières données La Psychiatrie de l’Enfant 33:391–456

    CAS  Google Scholar 

  38. Filiatre J-C (1986) Contribution à l’étude des systèmes de communication intra et interspécifiques chez un canide, Canis familiaris. Doctoral thesis, Faculty of Science and Technology, University of Franche-Comté, Besançon, France

    Google Scholar 

  39. Casagrande C (1995) Organisation des interactions sociales dyadiques de nourrissons de 4/5 mois. Contribution a une nouvelle méthode d'étude. Doctoral thesis in biological and fundamental sciences, psychology. University of Franche-Comté, Besançon. www.theses.fr/1995BESA2058

  40. Chomsky N (1959) Review of skinner, verbal behavior. Language 35:26–58

    Article  Google Scholar 

  41. Magnusson MS (1975) Social organization and communication in social insects and primates (humans included). B.A. thesis (in Danish) at the Psychological Laboratory, University of Copenhagen, p 80. http://hbl.hi.is

  42. Magnusson MS (1978) The human ethological probabilistic structural multivariate approach to the study of children’s nonverbal communication. Thesis (in Danish), University of Copenhagen’s Silver Medal, University of Copenhagen Library. http://hbl.hi.is

  43. Haynal-Reymond V, Jonsson G, Magnusson M (2005) Non-verbal communication in doctor-suicidal patient interview. In: Anolli L, Duncan S Jr, Magnusson MS, Riva G (eds) The hidden structure of interaction: from neurons to culture patterns. Ios Press, Amsterdam

    Google Scholar 

  44. Merten J, Schwab F (2005) Facial expression patterns in common and psychotherapeutic situations. In: Anolli L, Duncan S, Magnusson MS, Riva G (eds) The hidden structure of interaction: from neurons to culture patterns. Ios Press, Amsterdam

    Google Scholar 

  45. Duncan SD Jr, Fiske DW (1977) Face-to-face interaction: research, methods and theory. Lawrence Erlbaum Associates, Hillsdale, NJ

    Google Scholar 

  46. Duncan SD Jr (1973) Toward a grammar for dyadic conversations. Semiotica 9:29–46

    Article  Google Scholar 

  47. Hardway C, Duncan S Jr (2005) Me first! Structure and dynamics of a four-way family conflict. In: Anolli L, Duncan S, Magnusson MS, Riva G (eds) The hidden structure of interaction: from neurons to culture patterns. Ios Press, Amsterdam

    Google Scholar 

  48. Magnusson MS, Beaudichon J (1997) Detection de “marqueurs" dans la communication referentielle entre enfants. In: Bernicot J, CaronPargue J, Trognon A (eds) Conversation, interaction et fonctionnement cognitif. Presse Universitaire de Nancy, Nancy, pp 315–335

    Google Scholar 

  49. Bonasera SJ, Schenk AK, Luxenberg EJ, Tecott LH (2008) A novel method for automatic quantification of psychostimulant-evoked route-tracing stereotypy: application to Mus musculus. Psychopharmacology (Berl) 196:591–602

    Article  CAS  Google Scholar 

  50. Vishnevskiy VV, Vetrov DP (2010) The algorithm for detection of fuzzy behavioral patterns. In: Spink AJ, Grieco F, Krips OE, Loijens LWS, Noldus LPJJ, Zimmerman PH (eds) Proceedings of measuring behavior 2010. Eindhoven, The Netherlands, p 166

    Google Scholar 

  51. Livio M (2006) The equation that couldn't be solved: how mathematical genius discovered the language of symmetry. Simon & Schuster, New York, NY

    Google Scholar 

  52. Stewart I (2007) Why beauty is truth: the history of symmetry. Basic books, first trade paper edn

    Google Scholar 

  53. Mandelbrot BB (1982) The fractal geometry of nature. W. H. Freeman and Company, New York, NY

    Google Scholar 

  54. Kautz R (2011) Chaos: the science of predictable random motion. OUP, Oxford

    Google Scholar 

  55. Pentland A (2014) Social physics. The Penguin Press, New York, NY

    Google Scholar 

  56. Buchanan M (2007) The social atom: why the rich get richer, cheaters get caught, and your neighbor usually looks like you. Bloomsbury, New York, NY

    Google Scholar 

  57. Schelling TC (1971) Dynamic models of segregation. J Math Sociol 1:143–186

    Article  Google Scholar 

  58. Anolli L, Duncan S, Magnusson MS, Riva G (2005) The hidden structure of interaction: from neurons to culture patterns. Ios Press, Amsterdam

    Google Scholar 

  59. Hirschenhauser K, Frigerio D, Grammer K, Magnusson MS (2002) Monthly patterns of testosterone and behavior in prospective fathers. Horm Behav 42:172–181

    Article  CAS  PubMed  Google Scholar 

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Author information

Authors and Affiliations

  1. Human Behavior Laboratory, University of Iceland, Dunhagi 5, Reykjavik, 107, Iceland

    Magnus S. Magnusson Ph.D.

Authors
  1. Magnus S. Magnusson Ph.D.
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Correspondence to Magnus S. Magnusson Ph.D. .

Editor information

Editors and Affiliations

  1. University of Iceland, Reykjavik, Iceland

    Magnus S. Magnusson

  2. University of Arizona, Tucson, AZ, USA

    Judee K. Burgoon

  3. Department of Bio.Ne.C., University of Palermo, Palermo, Italy

    Maurizio Casarrubea

Appendix: Meaning of Codes

Appendix: Meaning of Codes

Toddlers X and Y playing with a viewer

Categories mostly those of McGrew [34]

Auto manipulate: touching something without looking at what is being touched.

View,long: viewing something for more than 3 s.

Glance at partner: a short glance at the other.

x or y, b or e, haveviewer: the viewer begins or ends being on the side of, respectively, x or y.

Immobile: being completely still, silent and not moving at all

Headtilt: tilting the head clearly to one side; a category much studied by Montagner [24] with results providing much inspiration for the present methodological development of T-patterns and Theme. It seems to function often as a part of effective begging behavior and/or be soothing for the receiver.

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Magnusson, M.S. (2016). Time and Self-Similar Structure in Behavior and Interactions: From Sequences to Symmetry and Fractals. In: Magnusson, M., Burgoon, J., Casarrubea, M. (eds) Discovering Hidden Temporal Patterns in Behavior and Interaction. Neuromethods, vol 111. Springer, New York, NY. https://doi.org/10.1007/978-1-4939-3249-8_1

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  • DOI: https://doi.org/10.1007/978-1-4939-3249-8_1

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  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4939-3248-1

  • Online ISBN: 978-1-4939-3249-8

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