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Tensor Train Neural Networks in Retail Operations

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Advances in Neural Computation, Machine Learning, and Cognitive Research III (NEUROINFORMATICS 2019)

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Abstract

The neural network generalization of Tensor Train decomposition for multidimensional datasets of censored Poisson counts is presented. The model is successfully applied to two important classes of retail operations: sales process under the controlled stock distribution over the retail network, and the optimization of active retailer decisions, such as pricing policy, marketing actions, and discounts. The advantage of proposed Tensor Train Neural Network model is in its ability to capture non-linear relations between similar retail stores and similar consumer goods, as well as jointly estimate sales potential of commodities with wide dynamic range of popularity.

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References

  1. Acar, E., Dunlavy, D.M., Kolda, T.G., Mørup, M.: Scalable tensor factorizations with missing data. (2010). http://www.cs.sandia.gov/dmdunla/publications/AcDuKoMo10.pdf

  2. Oseledets, I.V., Tyrtyshnikov, E.E.: TT-cross approximation for multidimensional arrays. Linear Algebra Appl. 432, 70–88 (2010)

    Article  MathSciNet  Google Scholar 

  3. Tensor Decompositions: Applications and Efficient Algorithms at SIAM CSE 2017. http://perso.ens-lyon.fr/bora.ucar/tensors-cse17/index.html. Accessed 10 Oct 2019

  4. Oseledets, I.V.: Tensor-train decomposition. SIAM J. Sci. Comput. 33, 2295–2317 (2011)

    Article  MathSciNet  Google Scholar 

  5. Novikov, A., Podoprikhin, D., Osokin, A., Vetrov, D.: Tensorizing neural networks. In: Advances in Neural Information Processing Systems 28, NIPS, pp. 442–450 (2015)

    Google Scholar 

  6. Terekhov, S.A.: Tensor decompositions in statistical estimation. In: XIX International Conference Neuroinformatics–2017, Moscow, 2–6 October 2017 (2017). (in Russian)

    Google Scholar 

  7. Terekhov, S.A.: Tensor decompositions in estimation and statistical decision making. In: Conference OpenTalks.ai, Moscow, 7–9 February 2018 (2018). (in Russian)

    Google Scholar 

  8. Terekhov, S.A.: Tensor decompositions in statistical decisions. In: Conference on Artificial Intelligence Problems and Approaches, Moscow, 14 March 2018, pp. 53–58 (2018). http://raai.org/library/books/Konf_II_problem--2018/book1_intellect.pdf. Accessed 10 Oct 2019. (in Russian)

  9. Frolov, E., Oseledets, I.: Tensor methods and recommender systems. arXiv:1603.06038 [cs.LG], 19 March 2016

  10. Kingma, D.P., Ba, J.: Adam: a method for stochastic optimization. arXiv:1412.6980 [cs.LG] (2014)

  11. Zeiler, M.D.: Adadelta: an adaptive learning rate method. arXiv:1212.5701 [cs.LG] (2012)

  12. Igel, C., Husken, M.: Improving the Rprop learning algorithm. In: 2nd ICSC International Symposium Neural Computation, NC 2000, pp. 115–121. ICSC Academic Press (2000). https://pdfs.semanticscholar.org/df9c/6a3843d54a28138a596acc85a96367a064c2.pdf

  13. Cichocki, A., Zdunek, R., Amari, S.: Hierarchical ALS algorithms for nonnegative matrix and 3D tensor factorization. In: Davies, M.E., James, C.J., Abdallah, S.A., Plumbley, M.D. (eds.) Independent Component Analysis and Signal Separation, pp. 169–176. Springer, Heidelberg (2007)

    Chapter  Google Scholar 

  14. Breiman, L.: Bagging predictors. Mach. Learn. 24(2), 123–140 (1996)

    MATH  Google Scholar 

  15. Rhodes, C., Morari, M.: The false nearest neighbors algorithm: an overview. Comput. Chem. Eng. 21, S1149 (1997). https://doi.org/10.1016/S0098-1354(97)87657-0

    Article  Google Scholar 

  16. Ivchenko, G.I., Medvedev, Yu.I.: Mathematical statistics. URSS, Moscow (2018). (in Russian)

    Google Scholar 

  17. Montgomery, D.C.: Design and Analysis of Experiments, 9th edn. Wiley, New Jersey (2017)

    Google Scholar 

  18. Langford, J., Zhang, T.: The epoch-greedy algorithm for contextual multi-armed bandits. In: Advances in Neural Information Processing Systems 20, NIPS, pp. 1096–1103 (2008)

    Google Scholar 

  19. Allesiardo, R., Feraud, R., Bouneffouf, D.: A neural networks committee for the contextual bandit problem. arXiv:1409.8191 [cs.NE], 29 September 2014

  20. Chu, W., Li, L., Reyzin, L., Schapire, R.E.: Contextual bandits with linear payoff functions. In: 14th International Conference on Artificial Intelligence and Statistics, AISTATS, Fort Lauderdale, FL, USA (2011)

    Google Scholar 

  21. Tay, J.K., Friedman, J., Tibshirani, R.: Principal component-guided sparse regression. arXiv:1810.04651 [stat.ME], 24 October 2018

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Correspondence to Serge A. Terekhov .

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Terekhov, S.A. (2020). Tensor Train Neural Networks in Retail Operations. In: Kryzhanovsky, B., Dunin-Barkowski, W., Redko, V., Tiumentsev, Y. (eds) Advances in Neural Computation, Machine Learning, and Cognitive Research III. NEUROINFORMATICS 2019. Studies in Computational Intelligence, vol 856. Springer, Cham. https://doi.org/10.1007/978-3-030-30425-6_2

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