Competing interests: DeepMind has filed the following patent applications related to this work: PCT/EP2018/063869, US15/280,711, and US15/280,784. managed the project D.S., J.S., T.H., M.Lai, I.A., and D.H. ran experiments and/or analyzed data D.S., T.H., J.S., and D.H. J.S., I.A., T.H., and M.Lai implemented the AlphaZero program T.H., J.S., D.S., M.Lai, I.A., T.G., K.S., D.K., and D.H. designed the AlphaZero algorithm with advice from T.G., A.G., T.L., K.S., M.Lai, L.S., and M.Lan. Author contributions: D.S., J.S., T.H., and I.A. Funding: All research described in this report was funded by DeepMind and Alphabet. Ostrovski for reviewing the paper and the rest of the DeepMind team for their support. Yoon, in Proceedings of the 44th Annual International Symposium on Computer Architecture, Toronto, Canada, 24 to 28 June 2017 (Association for Computing Machinery, 2017), pp.
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