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Probabilistic Programs for Investigating Contextuality in Human Information Processing

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Quantum Interaction (QI 2018)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 11690))

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Abstract

This article presents a framework for analysing contextuality in human information processing. In the quantum cognition community there has been ongoing speculation that quantum-like contextuality may be present in human cognition. The framework aims to provide a convenient means of designing experiments and performing contextuality analysis in order to ascertain whether this speculation holds. Experimental designs are expressed as probabilistic programs. The semantics of a program are composed from hypergraphs called contextuality scenarios, which, in turn, are used to determine whether the cognitive phenomenon being studied is contextual. Examples are provided illustrate the framework as well as some reflection about its broader application to quantum physics.

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References

  1. Abramsky, S., Brandenburger, A.: The sheaf-theoretic structure of non-locality and contextuality. New J. Phys. 13, 113036 (2011)

    Article  Google Scholar 

  2. Acin, A., Fritz, T., Leverrier, A., Sainz, A.: A combinatorial apporoach to nonlocality and contextuality. Commun. Math. Phys. 334, 533–628 (2015)

    Article  Google Scholar 

  3. Aerts, D., Gabora, L., Sozzo, S.: Concept combination, entangled measurements, and prototype theory. Top. Cogn. Sci. 6, 129–137 (2014)

    Article  Google Scholar 

  4. Asano, M., Hashimoto, T., Khrennikov, A., Ohya, M., Tanaka, Y.: Violation of contextual generalization of the Leggett–Garg inequality for recognition of ambiguous figures. Physica Scripta (T163), 014006 (2014)

    Article  Google Scholar 

  5. Atmanspacher, H., Filk, T.: A proposed test of temporal nonlocality in bistable perception. J. Math. Psychol. 54, 314–321 (2010)

    Article  MathSciNet  Google Scholar 

  6. Bruza, P.D.: Syntax and operational semantics of a probabilistic programming language with scopes. J. Math. Psychol. 74, 46–57 (2016)

    Article  MathSciNet  Google Scholar 

  7. Bruza, P.D.: Modelling contextuality by probabilistic programs with hypergraph semantics. Theor. Comput. Sci. 752, 56–70 (2017)

    Article  MathSciNet  Google Scholar 

  8. Bruza, P., Fell, S.: Are decisions of image trustworthiness contextual? A pilot study. In: Lambert-Mogiliansky, A., Coecke, B. (eds.) Quantum Interaction: 11th International Conference (QI 2018). Lecture Notes in Computer Science. Springer, Heidelberg (2018)

    Google Scholar 

  9. Bruza, P., Kitto, K., Ramm, B., Sitbon, L.: A probabilistic framework for analysing the compositionality of conceptual combinations. J. Math. Psychol. 67, 26–38 (2015)

    Article  MathSciNet  Google Scholar 

  10. Cervantes, V., Dzhafarov, E.: Snow queen is evil and beautiful: experimental evidence for probabilistic contextuality in human choices. arXiv:1711.00418v2

  11. Chaves, R., Kueng, R., Brask, J.B., Gross, D.: Unifying framework for relaxations of the causal assumptions in Bell’s theorem. Phys. Rev. Lett. 114(14), 140403 (2015)

    Article  Google Scholar 

  12. Dzhafarov, E., Kujala, J.: Probabilistic contextuality in EPR/Bohm-type systems with signaling allowed. In: Dzhafarov, E. (ed.) Contextuality from Quantum Physics to Psychology, chap. 12, pp. 287–308. World Scientific Press (2015)

    Google Scholar 

  13. Dzhafarov, E., Kujala, J., Larsson, J.: Contextuality in three types of quantum-mechanical systems. Found. Phys. 7, 762–782 (2015)

    Article  MathSciNet  Google Scholar 

  14. Dzhafarov, E., Zhang, R., Kujala, J.: Is there contextuality in behavioral and social systems? Philos. Trans. Roy. Soc. A 374, 20150099 (2015)

    Article  MathSciNet  Google Scholar 

  15. Goodman, N.D., Stuhlmüller, A.: The design and implementation of probabilistic programming languages (2014). http://dippl.org. Accessed 14 Sept 2017

  16. Goodman, N.D., Tenenbaum, J.B.: Probabilistic Models of Cognition (2016). http://probmods.org/v2. Accessed 5 June 2017

  17. Gordon, A., Henzinger, T., Nori, A., Rajamani, S.: Probabilistic programming. In: Proceedings of the on Future of Software Engineering (FOSE 2014), pp. 167–181 (2014)

    Google Scholar 

  18. Gronchi, G., Strambini, E.: Quantum cognition and Bell’s inequality: a model for probabilistic judgment bias. J. Math. Psychol. 78, 65–75 (2016)

    Article  MathSciNet  Google Scholar 

  19. Henson, J., Sainz, A.: Macroscopic noncontextuality as a principle for almost-quantum correlations. Phyical Rev. A 91, 042114 (2015)

    Article  Google Scholar 

  20. Obeid, A., Bruza, P.D., Wittek, P.: Evaluating probabilistic programming languages for simulating quantum correlations. PLoS One 14(1), e0208555 (2019)

    Article  Google Scholar 

  21. Oreshkov, O., Costa, F., Brukner, C.: Quantum correlations with no causal order. Nat. Commun. 3, 1092 (2012)

    Article  Google Scholar 

  22. Sainz, A., Wolfe, E.: Multipartite composition of contextuality scenarios. arXiv:1701.05171 [quant-ph] (2017)

  23. Zhang, R., Dzhafarov, E.N.: Testing contextuality in cyclic psychophysical systems of high ranks. In: de Barros, J.A., Coecke, B., Pothos, E. (eds.) QI 2016. LNCS, vol. 10106, pp. 151–162. Springer, Cham (2017). https://doi.org/10.1007/978-3-319-52289-0_12

    Chapter  Google Scholar 

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Acknowledgements

This research was supported by the Asian Office of Aerospace Research and Development (AOARD) grant: FA2386-17-1-4016.

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Correspondence to Peter D. Bruza .

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Bruza, P.D., Wittek, P. (2019). Probabilistic Programs for Investigating Contextuality in Human Information Processing. In: Coecke, B., Lambert-Mogiliansky, A. (eds) Quantum Interaction. QI 2018. Lecture Notes in Computer Science(), vol 11690. Springer, Cham. https://doi.org/10.1007/978-3-030-35895-2_4

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  • DOI: https://doi.org/10.1007/978-3-030-35895-2_4

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-35894-5

  • Online ISBN: 978-3-030-35895-2

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