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Estimating Supervisor Set Using Machine Learning and Optimal Control

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Advances in Computational Intelligence (IWANN 2019)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 11507))

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Abstract

The paper deals with the problem of finding an estimation of supervisor set and content of machine learning block. We propose a construction of a probability distribution of the learning set using the empirical risk functional defined by Vapnik and applying a new dual dynamic programming ideas to formulate a new optimization problem. As a consequence we state and prove a verification theorem for an approximate probability distribution defining the approximation of the supervisor set.

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References

  1. Vapnik, V.: The Nature of Statistical Learning Theory. Springer, New York (2000). https://doi.org/10.1007/978-1-4757-3264-1

    Book  MATH  Google Scholar 

  2. Vapnik, V., Izmailov, R.: Knowledge transfer in SVM and neural networks. Ann. Math Artif. Intell. 81(1), 3–19 (2017)

    Article  MathSciNet  Google Scholar 

  3. Vapnik, V., Braga, I., Izmailov, R.: Constructive setting for problems of density ratio estimation. Stat. Anal. Data Min. 8(3), 137–146 (2015)

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  4. Nowakowski, A.: The dual dynamic programming. Proc. Am. Math. Soc. 116, 1089–1096 (1992)

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  5. Nowakowski, A.: \(\varepsilon \)-value function and dynamic programming. J. Optim. Theory Appl. 138, 85–93 (2008)

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  6. Galewska, E., Nowakowski, A.: A dual dynamic programming for multidimensional elliptic optimal control problems. Numer. Funct. Anal. Optim. 27, 279–289 (2006)

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  7. Nowakowski, A., Sokolowski, J.: On dual dynamic programming in shape control. Commun. Pure Appl. Anal. 11, 2473–2485 (2012)

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Correspondence to Andrzej Nowakowski .

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Kosmatka, K., Nowakowski, A. (2019). Estimating Supervisor Set Using Machine Learning and Optimal Control. In: Rojas, I., Joya, G., Catala, A. (eds) Advances in Computational Intelligence. IWANN 2019. Lecture Notes in Computer Science(), vol 11507. Springer, Cham. https://doi.org/10.1007/978-3-030-20518-8_44

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  • DOI: https://doi.org/10.1007/978-3-030-20518-8_44

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-20517-1

  • Online ISBN: 978-3-030-20518-8

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