Skip to main content

Non-separability Effects in Cognitive Semantic Retrieving

  • Chapter
  • First Online:
Quantum-Like Models for Information Retrieval and Decision-Making

Abstract

This paper discusses a Bell test analogue known in quantum physics, which allows determining the presence of non-separability features by using semantic search of information and document ranking for articles in Russian. The model of Bell test in semantics is based on hyperspace analogue to language (HAL) algorithm provides to obtain vector representation of words (in Hilbert space) using the dictionary index and considering the word order. We show the existence of certain quantum-like correlations between two words of the user’s query; these correlations cannot be taken into account in the classical probabilistic description. We predict that the contextuality revealed can be regarded as human cognitive level both while writing of certain texts and queries to them.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 119.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 159.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 159.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. Alodjants, A. P., & Arakelian, S. M. (1999). Quantum phase measurements and nonclassical polarization states of light. Journal of Modern Optics, 46(3), 475–507.

    Article  MathSciNet  Google Scholar 

  2. Busemeyer, J. R., & Bruza, P. D. (2012). Quantum models of cognition and decision (p. 408). Cambridge: Cambridge University Press.

    Book  Google Scholar 

  3. Cirel’son, B. S. (1980). Quantum Generalizations of Bell’s Inequality. Letters in Mathematical Physics, 4, 93.

    Article  MathSciNet  Google Scholar 

  4. Gurevich, I. I., & Feigenberg, I. M. (1977). What probabilities work in psychology? Probabilistic forecasting of human activity (pp. 9–21). Moscow: Science.

    Google Scholar 

  5. Khrennikov, A. Yu. (2010). Ubiquitous quantum structure. From psychology to finance (p. 216). Berlin: Springer.

    Book  Google Scholar 

  6. Melucci, M. (2015). Introduction to information retrieval and quantum mechanics. The information retrieval series (Vol. 35, p. 232). Berlin: Springer.

    Book  Google Scholar 

  7. Peres, A. (2002). Quantum theory: Concepts and methods (p. 464). Dordrecht: Kluwer.

    Book  Google Scholar 

  8. Piwowarski, B., Frommholz, I., Lalmas, M., & van Rijsbergen, C. J. (2010). What can quantum theory bring to information retrieval. In Proceedings of the 19th ACM International Conference on Information and Knowledge Management (pp. 59–68). New York, NY: ACM.

    Google Scholar 

  9. Van Rijsbergen, C. J. (2004). The geometry of information retrieval (p. 150). New York, NY: Cambridge University Press.

    Book  Google Scholar 

  10. Wheeler, J. A., & Zurek W. (Eds.) (1983). Quantum theory and measurement (p. 811). Princeton, NJ: Princeton University Press.

    Google Scholar 

  11. Zhang, P., Li, J., Wang, B., Zhao, X., Song, D., Hou, Yu., et al. (2016). A quantum query expansion approach for session search. Entropy, 18, 146.

    Article  Google Scholar 

  12. Zhang, P., Song, D., Zhao, X., & Hou, Y. (2011). Investigating query-drift problem from a novel perspective of photon polarization. in Proceedings of the Conference on the Theory of Information Retrieval (pp. 332–336). Berlin: Springer.

    Google Scholar 

  13. Zuccon, G., & Azzopardi, L. (2010). Using the quantum probability ranking principle to rank interdependent documents. In: Proceedings of the European Conference on Information Retrieval (pp. 357–369). Berlin: Springer.

    Google Scholar 

Download references

Acknowledgements

This work was financially supported by the Government of the Russian Federation, Grant 08-08. The authors are grateful to Prof. Andrei Khrennikov and Dr. Ilya Surov for fruitful discussions.

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2019 Springer Nature Switzerland AG

About this chapter

Check for updates. Verify currency and authenticity via CrossMark

Cite this chapter

Platonov, A.V., Bessmertny, I.A., Semenenko, E.K., Alodjants, A.P. (2019). Non-separability Effects in Cognitive Semantic Retrieving. In: Aerts, D., Khrennikov, A., Melucci, M., Toni, B. (eds) Quantum-Like Models for Information Retrieval and Decision-Making. STEAM-H: Science, Technology, Engineering, Agriculture, Mathematics & Health. Springer, Cham. https://doi.org/10.1007/978-3-030-25913-6_2

Download citation

Publish with us

Policies and ethics