IDEAS home Printed from https://ideas.repec.org/a/wsi/ijitdm/v17y2018i05ns0219622018500268.html
   My bibliography  Save this article

Category Theoretic Analysis of Photon-Based Decision Making

Author

Listed:
  • Makoto Naruse

    (Network System Research Institute, National Institute of Information and Communications Technology, 4-2-1 Nukui-Kita, Koganei, Tokyo 184-8795, Japan2Université Grenoble Alpes, CNRS, Institut Néel, 38000 Grenoble, France)

  • Song-Ju Kim

    (Graduate School of Media and Governance Keio University, 5322 Endo, Fujisawa, Kanagawa 252-0882, Japan)

  • Masashi Aono

    (Faculty of Environment and Information Studies, Keio University, 5322 Endo, Fujisawa, Kanagawa 252-0882, Japan)

  • Martin Berthel

    (Université Grenoble Alpes, CNRS, Institut Néel, 38000 Grenoble, France)

  • Aurélien Drezet

    (Université Grenoble Alpes, CNRS, Institut Néel, 38000 Grenoble, France)

  • Serge Huant

    (Université Grenoble Alpes, CNRS, Institut Néel, 38000 Grenoble, France)

  • Hirokazu Hori

    (Interdisciplinary Graduate School, University of Yamanashi, Takeda, Kofu, Yamanashi 400-8511, Japan)

Abstract

Decision making is a vital function in the age of machine learning and artificial intelligence; however, its physical realization and theoretical fundamentals are not yet well understood. In our former study, we demonstrated that single photons can be used to make decisions in uncertain, dynamically changing environments. The two-armed bandit problem was successfully solved using the dual probabilistic and particle attributes of single photons. In this study, we present a category theoretic modeling and analysis of single-photon-based decision making, including a quantitative analysis that agrees well with the experimental results. The category theoretic model unveils complex interdependencies of the entities of the subject matter in the most simplified manner, including a dynamically changing environment. In particular, the octahedral structure and the braid structure in triangulated categories provide better understandings and quantitative metrics of the underlying mechanisms for the single-photon decision maker. This study provides insight and a foundation for analyzing more complex and uncertain problems for machine learning and artificial intelligence.

Suggested Citation

  • Makoto Naruse & Song-Ju Kim & Masashi Aono & Martin Berthel & Aurélien Drezet & Serge Huant & Hirokazu Hori, 2018. "Category Theoretic Analysis of Photon-Based Decision Making," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 17(05), pages 1305-1333, September.
    • Handle: RePEc:wsi:ijitdm:v:17:y:2018:i:05:n:s0219622018500268
    DOI: 10.1142/S0219622018500268
    as

    Download full text from publisher

    File URL: http://www.worldscientific.com/doi/abs/10.1142/S0219622018500268
    Download Restriction: Access to full text is restricted to subscribers
    File URL: https://libkey.io/10.1142/S0219622018500268?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Nathaniel D. Daw & John P. O'Doherty & Peter Dayan & Ben Seymour & Raymond J. Dolan, 2006. "Cortical substrates for exploratory decisions in humans," Nature, Nature, vol. 441(7095), pages 876-879, June.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Hayato Saigo & Makoto Naruse & Kazuya Okamura & Hirokazu Hori & Izumi Ojima, 2019. "Analysis of Soft Robotics Based on the Concept of Category of Mobility," Complexity, Hindawi, vol. 2019, pages 1-12, March.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Yongping Bao & Ludwig Danwitz & Fabian Dvorak & Sebastian Fehrler & Lars Hornuf & Hsuan Yu Lin & Bettina von Helversen, 2022. "Similarity and Consistency in Algorithm-Guided Exploration," CESifo Working Paper Series 10188, CESifo.
    2. Peter S. Riefer & Bradley C. Love, 2015. "Unfazed by Both the Bull and Bear: Strategic Exploration in Dynamic Environments," Games, MDPI, vol. 6(3), pages 1-11, August.
    3. Makoto Naruse & Eiji Yamamoto & Takashi Nakao & Takuma Akimoto & Hayato Saigo & Kazuya Okamura & Izumi Ojima & Georg Northoff & Hirokazu Hori, 2018. "Why is the environment important for decision making? Local reservoir model for choice-based learning," PLOS ONE, Public Library of Science, vol. 13(10), pages 1-17, October.
    4. Christina Fang & Daniel Levinthal, 2009. "Near-Term Liability of Exploitation: Exploration and Exploitation in Multistage Problems," Organization Science, INFORMS, vol. 20(3), pages 538-551, June.
    5. Hu, Yingyao & Kayaba, Yutaka & Shum, Matthew, 2013. "Nonparametric learning rules from bandit experiments: The eyes have it!," Games and Economic Behavior, Elsevier, vol. 81(C), pages 215-231.
    6. Elise Payzan-LeNestour & Peter Bossaerts, 2011. "Risk, Unexpected Uncertainty, and Estimation Uncertainty: Bayesian Learning in Unstable Settings," PLOS Computational Biology, Public Library of Science, vol. 7(1), pages 1-14, January.
    7. Ian Krajbich & Todd Hare & Björn Bartling & Yosuke Morishima & Ernst Fehr, 2015. "A Common Mechanism Underlying Food Choice and Social Decisions," PLOS Computational Biology, Public Library of Science, vol. 11(10), pages 1-24, October.
    8. Maël Lebreton & Karin Bacily & Stefano Palminteri & Jan B Engelmann, 2019. "Contextual influence on confidence judgments in human reinforcement learning," PLOS Computational Biology, Public Library of Science, vol. 15(4), pages 1-27, April.
    9. repec:cup:judgdm:v:17:y:2022:i:4:p:691-719 is not listed on IDEAS
    10. Ahmed H. Alsharif & Nor Zafir Md Salleh & Rohaizat Baharun & Alharthi Rami Hashem E & Aida Azlina Mansor & Javed Ali & Alhamzah F. Abbas, 2021. "Neuroimaging Techniques in Advertising Research: Main Applications, Development, and Brain Regions and Processes," Sustainability, MDPI, vol. 13(11), pages 1-25, June.
    11. Aaron J Gruber & Rifat J Hussain & Patricio O'Donnell, 2009. "The Nucleus Accumbens: A Switchboard for Goal-Directed Behaviors," PLOS ONE, Public Library of Science, vol. 4(4), pages 1-10, April.
    12. repec:cup:judgdm:v:15:y:2020:i:5:p:823-850 is not listed on IDEAS
    13. Phanish Puranam & Murali Swamy, 2016. "How Initial Representations Shape Coupled Learning Processes," Organization Science, INFORMS, vol. 27(2), pages 323-335, April.
    14. Daniella Laureiro-Martinez, 2014. "Cognitive Control Capabilities, Routinization Propensity, and Decision-Making Performance," Organization Science, INFORMS, vol. 25(4), pages 1111-1133, August.
    15. Anna P. Giron & Simon Ciranka & Eric Schulz & Wouter Bos & Azzurra Ruggeri & Björn Meder & Charley M. Wu, 2023. "Developmental changes in exploration resemble stochastic optimization," Nature Human Behaviour, Nature, vol. 7(11), pages 1955-1967, November.
    16. Jean-Claude Dreher & Etienne Koechlin & Michael Tierney & Jordan Grafman, 2008. "Damage to the Fronto-Polar Cortex Is Associated with Impaired Multitasking," PLOS ONE, Public Library of Science, vol. 3(9), pages 1-9, September.
    17. repec:jdm:journl:v:17:y:2022:i:4:p:691-719 is not listed on IDEAS
    18. Solnais, Céline & Andreu-Perez, Javier & Sánchez-Fernández, Juan & Andréu-Abela, Jaime, 2013. "The contribution of neuroscience to consumer research: A conceptual framework and empirical review," Journal of Economic Psychology, Elsevier, vol. 36(C), pages 68-81.
    19. Yilmaz Kocer, 2010. "Endogenous Learning with Bounded Memory," Working Papers 1290, Princeton University, Department of Economics, Econometric Research Program..
    20. Chen Wang & Yanliu Huang & Vicki MorwitzEditor & Stijn van OsselaerAssociate Editor, 2018. "“I Want to Know the Answer! Give Me Fish ’n’ Chips!”: The Impact of Curiosity on Indulgent Choice," Journal of Consumer Research, Journal of Consumer Research Inc., vol. 44(5), pages 1052-1067.
    21. Crystal Reeck & Xue Guo & Angelika Dimoka & Paul A. Pavlou, 2024. "Uncovering the Neural Processes of Privacy: A Neurally Informed Behavioral Intervention to Protect Information Privacy," Information Systems Research, INFORMS, vol. 35(2), pages 727-746, June.
    22. Benjamin D. Horne & Natalie M. Rice & Catherine A. Luther & Damian J. Ruck & Joshua Borycz & Suzie L. Allard & Michael Fitzgerald & Oleg Manaev & Brandon C. Prins & Maureen Taylor & R. Alexander Bentl, 2023. "Generational effects of culture and digital media in former Soviet Republics," Palgrave Communications, Palgrave Macmillan, vol. 10(1), pages 1-11, December.
    23. Michelle Rogan & Marie Louise Mors, 2014. "A Network Perspective on Individual-Level Ambidexterity in Organizations," Organization Science, INFORMS, vol. 25(6), pages 1860-1877, December.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:wsi:ijitdm:v:17:y:2018:i:05:n:s0219622018500268. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Tai Tone Lim (email available below). General contact details of provider: http://www.worldscinet.com/ijitdm/ijitdm.shtml .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.