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The new science of complex systems through ultrametric analysis: Application to search and discovery, to narrative and to thinking

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Abstract

We summarize some areas of great potential for data analytics based on ultrametric topology. These areas include search and discovery, in a way that is computationally efficient and scalable, as well as with demonstrated effectiveness. Further areas discussed are the analysis and synthesis of narrative. We conclude with a preliminary description of work on emotion that has developed out of our work on narrative.

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References

  1. P. Contreras and F. Murtagh, “Fast, linear time hierarchical clustering using the Baire metric,” J. Classification 29, 118–143 (2012).

    Article  MathSciNet  Google Scholar 

  2. Tim Cooks, “Delivery,” http://amazon.co.uk/o/ASIN/B004PLNO08/ (June 2009).

    Google Scholar 

  3. Tim Cooks, “The deception of success,” http://amazon.com/o/ASIN/B006LLEY2M/ (December 2011).

    Google Scholar 

  4. Tim Cooks, “Playing with controversy,” http://amazon.com/o/ASIN/B008I2LDG2/ (February 2012).

    Google Scholar 

  5. Tim Cooks, “Roadkill Casserole,” http://amazon.com/o/ASIN/B0076IJPT6/ (February 2012).

    Google Scholar 

  6. R. D’Abrusco, A. Staiano, G. Longo, E. De Filippis, M. Brescia, M. Paolillo and E. De Filippis, “Mining the SDSS archive. I. Photometric redshift in the nearby universe,” Astrophys. J. 663, 752–764 (2007).

    Article  Google Scholar 

  7. DreamBank, “Repository of dream reports”, www.dreambank.net (2004).

    Google Scholar 

  8. P. Hall, J. S. Marron and A. Neeman, “Geometric representation of high dimension low sample size data,” J. Royal Statist. Society Series B 67, 427–444 (2005).

    Article  MathSciNet  MATH  Google Scholar 

  9. Hongbo Chen and Ben He, “Automated essay scoring by capturing relative writing quality,” Computer J., in press, (published online 15 October 2013).

  10. S. C. Johnson, “Hierarchical clustering schemes,” Psychometrika 2, 241–254 (1967).

    Article  Google Scholar 

  11. A. Yu. Khrennikov, Information Dynamics in Cognitive, Psychological, Social and Anomalous Phenomena (Kluwer, 2004).

    Book  MATH  Google Scholar 

  12. B. Le Roux and H. Rouanet, Geometric Data Analysis: From Correspondence Analysis to Structured Data Analysis (Kluwer Academic Publ., Dordrecht, 2004).

    Google Scholar 

  13. A. Levy, Basic Set Theory (Dover, 1979, reprinted 2002).

    Book  MATH  Google Scholar 

  14. J. Mayika et al., “Big data: The next frontier for innovation, competition, and productivity,” pp. 156 (McKinsey Global Institute, May 2011).

    Google Scholar 

  15. R. McKee, Story: Substance, Structure, Style, and the Principles of Screenwriting (Methuen, 1999).

    Google Scholar 

  16. F. Murtagh, “On ultrametricity, data coding, and computation,” J. Classification 21, 167–184 (2004).

    Article  MathSciNet  MATH  Google Scholar 

  17. F. Murtagh, Correspondence Analysis and Data Coding with R and Java (Chapman and Hall/CRC Press, 2005).

    Book  Google Scholar 

  18. F. Murtagh, “Identifying the ultrametricity of time series,” Europ. Phys. J. B 43, 573–579 (2005).

    Article  Google Scholar 

  19. F. Murtagh, “Symmetry in data mining and analysis: a unifying view based on hierarchy,” Proc. Steklov Inst. Math. 265, 177–198 (2009).

    Article  MathSciNet  MATH  Google Scholar 

  20. F. Murtagh, “Ultrametric model of mind, II: Application to text content analysis,” p-Adic Numbers Ultram. Anal. Appl. 4(3), 207–221 (2012).

    Article  MathSciNet  Google Scholar 

  21. F. Murtagh, “Mapping of emotion,” video based on Scene 43 of Casablanca movie, YouTube (2012); http://www.youtube.com/watch?v=J4EFLp4yGZo.

    Google Scholar 

  22. F. Murtagh, “Ultrametric component analysis with application to text analysis,” report, 48 pp. (2013).

    Google Scholar 

  23. F. Murtagh, G. Downs and P. Contreras, “Hierarchical clustering of massive, high dimensional data sets by exploiting ultrametric embedding,” SIAM J. Scient. Comput. 30(2), 707–730 (2008).

    Article  MathSciNet  MATH  Google Scholar 

  24. F. Murtagh, A. Ganz and S. McKie, “The structure of narrative: the case of film scripts,” Pattern Recogn. 42, 302–312 (2009).

    Article  MATH  Google Scholar 

  25. F. Murtagh, A. Ganz, S. McKie, J. Mothe and K. Englmeier, “Tag clouds for displaying semantics: The Case of filmscripts,” Inform. Visual. J. 9, 253–262 (2010).

    Article  Google Scholar 

  26. F. Murtagh, A. Ganz and J. Reddington, “New methods of analysis of narrative and semantics in support of interactivity,” Entertainment Comput. 2, 115–121 (2011).

    Article  Google Scholar 

  27. F. Murtagh and P. Contreras, “Fast, linear time, m-adic hierarchical clustering for search and retrieval using the Baire metric, with linkages to generalized ultrametrics, hashing, formal concept analysis, and precision of data measurement,” p-Adic Numbers Ultram. Anal. Appl. 4, 45–56 (2012).

    MathSciNet  Google Scholar 

  28. J. Reddington, F. Murtagh and D. Cowie, “Computational properties of fiction writing and collaborative work,” Advances in Intelligent Data Analysis XII, Lecture Notes in Computer Science 8207, 369–379 (Springer, 2013).

    Article  Google Scholar 

  29. J. Séguéla and G. Saporta, “A comparison between latent semantic analysis and correspondence analysis”, presentation, CARME Conferences (Rennes, France, 9 February 2011); http//carme2011.agrocampus-ouest.fr/slides/Seguela_Saporta.pdf.

  30. H. A. ’Simon, The Sciences of the Artificial (MIT Press, 3rd edn., 1996).

    Google Scholar 

  31. Apache Solr, open source enterprise search platform from the Apache Lucene project, http://lucene.apache.org/solr.

  32. M. Tonti, Emotions and the Unconscious: Modeling and Measuring the Affective Salience of the Mind (PhD, Università del Salento, 2012).

    Google Scholar 

  33. T. Veale, Exploding the Creativity Myth: The Computational Foundations of Linguistic Creativity (Bloomsbury Academic, 2012).

    Google Scholar 

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Correspondence to F. Murtagh.

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Based on talk at the International Workshop on p-Adic Methods for Modelling of Complex Systems, Bielefeld, April 15–19, 2013.

The text was submitted by the author in English.

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Murtagh, F. The new science of complex systems through ultrametric analysis: Application to search and discovery, to narrative and to thinking. P-Adic Num Ultrametr Anal Appl 5, 326–337 (2013). https://doi.org/10.1134/S2070046613040067

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