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Adaptive Decision-Making Strategies in the Game with Environment

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Lecture Notes in Data Engineering, Computational Intelligence, and Decision Making (ISDMCI 2022)

Abstract

The problems that occurred during decision-making and supported by the stochastic game model with the environment are investigated and analysed. A method of adaptive choice of solutions based on stimulatory learning and application of Boltzmann distribution is developed. The algorithm and software of the decision-making system in the games with the environment are developed. The computer simulation results of stochastic choice of solutions are analysed and described. The developed decision-making method provides stochastic minimisation of the agent’s mean loss function and is based on adaptive parametric identification of the environment using Q-learning and defining a mixed strategy on the Boltzmann distribution. With proper parameter selection, the method provides close to 1 order of asymptotic convergence, the limit value for a given class of recurrent methods.

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References

  1. Babichev, S., Lytvynenko, V., Osypenko, V.: Implementation of the objective clustering inductive technology based on DBSCAN clustering algorithm. In: Proceedings of the 12th International Scientific and Technical Conference on Computer Sciences and Information Technologies, CSIT 2017, vol. 1, pp. 479–484 (2017). https://doi.org/10.1109/STC-CSIT.2017.8098832

  2. Babichev, S.A., Kornelyuk, A.I., Lytvynenko, V.I., Osypenko, V.V.: Computational analysis of microarray gene expression profiles of lung cancer. Biopol. Cell 32(1), 70–79 (2016). https://doi.org/10.7124/bc.00090F

    Article  Google Scholar 

  3. Bowles, J., Silvina, A.: Model checking cancer automata. In: IEEE-EMBS International Conference on Biomedical and Health Informatics (BHI), pp. 376–379 (2016). https://doi.org/10.1109/BHI.2016.7455913

  4. Flieger, S.: Implementing the patient-centered medical home in complex adaptive systems: becoming a relationship-centered patient-centered medical home. Health Care Manage. Rev. 42(2), 112–121 (2017). https://doi.org/10.1097/HMR.0000000000000100

    Article  Google Scholar 

  5. Fricke, G., Letendre, K., Moses, M., Cannon, J.: Persistence and adaptation in immunity: T cells balance the extent and thoroughness of search. PLoS Comput. Biol. 12(3) (2016). https://doi.org/10.1371/journal.pcbi.1004818

  6. Huang, K., Zheng, X., Cheng, Y., Yang, Y.: Behavior-based cellular automaton model for pedestrian dynamics. Appl. Math. Comput. 292, 417–424 (2017). https://doi.org/10.1016/j.amc.2016.07.002

    Article  MATH  Google Scholar 

  7. Kravets, P., Lytvyn, V., Dobrotvor, I., Sachenko, O., Vysotska, V., Sachenko, A.: Matrix stochastic game with q-learning for multi-agent systems. Lecture Notes on Data Engineering and Communications Technologies 83, 304–314 (2021). https://doi.org/10.1007/978-3-030-80472-5_26

  8. Marasanov, V., Stepanchikov, D., Sharko, A., Sharko, O.: Technology for determining the residual life of metal structures under conditions of combined loading according to acoustic emission measurements. Commun. Comput. Inf. Sci. 1158 (2020). https://doi.org/10.1007/978-3-030-61656-4_13

  9. Mohamed, W., Hamza, A.: Medical image registration using stochastic optimisation. Opt. Lasers Eng. 48(12), 1213–1223 (2010). https://doi.org/10.1016/j.optlaseng.2010.06.011

    Article  Google Scholar 

  10. Narendra, K.S., Thathachar, M.A.L.: Learning automata - a survey. IEEE Trans. Syst. Man Cybern. 4, 323–334 (1974)

    Google Scholar 

  11. Ning, C., You, F.: Data-driven adaptive nested robust optimisation: general modeling framework and efficient computational algorithm for decision making under uncertainty. AIChE J. 63(9), 3790–3817 (2017). https://doi.org/10.1002/aic.15717

    Article  Google Scholar 

  12. Ozcift, A., Gulten, A.: Classifier ensemble construction with rotation forest to improve medical diagnosis performance of machine learning algorithms. Comput. Meth. Program. Biomed. 104(3), 443–451 (2011). https://doi.org/10.1016/j.cmpb.2011.03.018

    Article  Google Scholar 

  13. Robbins, H.: Some aspects of the sequential design of experiments. Bull. Am. Math. Soc. 58(5), 527–535 (1952). https://doi.org/10.1016/j.ins.2020.06.069

    Article  MathSciNet  MATH  Google Scholar 

  14. Stewart, A., Bosch, N., D’mello, S.: Generalizability of face-based mind wandering detection across task contexts. In: The 10th International Conference on Educational Data Mining Society, pp. 88–95 (2017)

    Google Scholar 

  15. Sutton, R., Barto, A.: Reinforcement learning: an introduction (2017). http://incompleteideas.net/book/bookdraft2017nov5.pdf

  16. Tsetlin, M.L.: Automaton Theory and Modeling of Biological Systems. Academic Press Inc., New York (1973)

    Google Scholar 

  17. Wooldridge, M.: An Introduction to Multi-Agent Systems. John Wiley and Sons, Hoboken, New Jersey, U.S. (2009)

    Google Scholar 

  18. Yurtkuran, A., Emel, E.: An adaptive artificial bee colony algorithm for global optimisation. Appl. Math. Comput. 271, 1004–1023 (2015). https://doi.org/10.1016/j.amc.2015.09.064

    Article  MathSciNet  MATH  Google Scholar 

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Correspondence to Victoria Vysotska .

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Kravets, P., Vysotska, V., Lytvyn, V., Chyrun, L. (2023). Adaptive Decision-Making Strategies in the Game with Environment. In: Babichev, S., Lytvynenko, V. (eds) Lecture Notes in Data Engineering, Computational Intelligence, and Decision Making. ISDMCI 2022. Lecture Notes on Data Engineering and Communications Technologies, vol 149. Springer, Cham. https://doi.org/10.1007/978-3-031-16203-9_17

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