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A Thompson Sampling Approach to Unifying Causal Inference and Bandit Learning

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Advances in Knowledge Discovery and Data Mining (PAKDD 2023)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 13936))

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Abstract

Offline logged data is quite common in many web applications such as recommendation, Internet advertising, etc., which offers great potentials to improve online decision making. It is a non-trivial task to utilize offline logged data for online decision making, because the offline logged data is observational and it may mislead online decision making. The VirUCB is one of the latest notable algorithmic frameworks in this research line. This paper studies how to extend VirUCB from upper confidence bound (UCB) based online decision making to Thompson sampling based online decision making, for the purpose of improving the online decision accuracy. We first show that naively applying Thompson sampling to the VirUCB framework is not effective and we reveal fundamental insights on why it is not effective. Based on these insights, we design a filtering algorithm to filter out the logged data corresponding to the optimal arm. To address the challenge that the optimal arm is unknown, we estimate it through the posterior of the reward mean. Putting them together, we obtain our VirTS-DF algorithm. Extensive experiments on two real-world datasets validate the superior performance of VirTS-DF.

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Notes

  1. 1.

    https://snap.stanford.edu/data/web-Movies.html.

  2. 2.

    https://grouplens.org/datasets/movielens/.

References

  1. Li, Y., Xie, H., Lin, Y., Lui, J.C.: Unifying offline causal inference and online bandit learning for data driven decision. In: WWW (2021)

    Google Scholar 

  2. Imbens, G.W., Rubin, D.B.: Causal inference in statistics, social, and biomedical sciences. Cambridge University Press (2015)

    Google Scholar 

  3. Shivaswamy, P., Joachims, Y.: Multi-armed bandit problems with history. In: AISTAT, pp. 1046–1054 (2012)

    Google Scholar 

  4. Zuo, J., Zhang, X., Joe-Wong, C.: Observe before play: multi-armed bandit with pre-observations. ACM SIGMETRICS Perform. Eval. Rev. 46(2), 89–90 (2019)

    Article  Google Scholar 

  5. Tennenholtz, G., Shalit, U., Mannor, S., Efroni, Y.: Bandits with partially observable offline data. arXiv preprint arXiv:2006.06731 (2020)

  6. Tang, Q., Xie, H.: A robust algorithm to unifying offline causal inference and online multi-armed bandit learning. In: IEEE ICDM (2021)

    Google Scholar 

  7. Lattimore, T., Szepesvári, C.: Bandit algorithms. Cambridge University Press (2020)

    Google Scholar 

  8. Auer, P., Cesa-Bianchi, N., Fischer, P.: Finite-time analysis of the multiarmed bandit problem. Mach. Learn. 47(2–3), 235–256 (2002)

    Article  MATH  Google Scholar 

  9. Russo, D., Van Roy, B., Kazerouni, A., Osband, I., Wen, Z.: A tutorial on Thompson sampling. arXiv preprint arXiv:1707.02038 (2017)

  10. Chen, W., Wang, Y., Yuan, Y.: Combinatorial multi-armed bandit: general framework and applications. In: ICML, pp. 151–159 (2013)

    Google Scholar 

  11. Bistritz, I., Leshem, A.: Distributed multi-player bandits-a game of thrones approach. In: NIPS (2018)

    Google Scholar 

  12. Wang, C.-C., Kulkarni, S.R., Poor, H.V.: Bandit problems with side observations. IEEE TAC 50(3), 338–355 (2005)

    MathSciNet  MATH  Google Scholar 

  13. Sharma, N., Basu, S., Shanmugam, K., Shakkottai, S.: Warm starting bandits with side information from confounded data. arXiv preprint arXiv:2002.08405 (2020)

  14. Yun, D., Proutiere, A., Ahn, S., Shin, J., Yi, Y.: Multi-armed bandit with additional observations. Proceed. ACM Measure. Anal. Comput. Syst. 2(1), 1–22 (2018)

    Article  Google Scholar 

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Acknowledgment

This work was supported in part by Chongqing Talents: Exceptional Young Talents Project (cstc2021ycjhbgzxm0195), the Chinese Academy of Sciences “Light of West China” Program, the Key Cooperation Project of Chongqing Municipal Education Commission (HZ2021008, HZ2021017), and the “Fertilizer Robot” project of Chongqing Committee on Agriculture and Rural Affairs. Hong Xie is the corresponding author.

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Xu, H., Xie, H. (2023). A Thompson Sampling Approach to Unifying Causal Inference and Bandit Learning. In: Kashima, H., Ide, T., Peng, WC. (eds) Advances in Knowledge Discovery and Data Mining. PAKDD 2023. Lecture Notes in Computer Science(), vol 13936. Springer, Cham. https://doi.org/10.1007/978-3-031-33377-4_20

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  • DOI: https://doi.org/10.1007/978-3-031-33377-4_20

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-031-33376-7

  • Online ISBN: 978-3-031-33377-4

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