Mastering the Game of Go with Deep Neural Networks and Tree Search David Silver1 *, Aja Huang1 *, Chris J. Maddison1 , Arthur Guez1 , Laurent Sifre1 , George van den Driessche1 , Julian Schrittwieser1 , Ioannis Antonoglou1 , Veda Panneershelvam1 , Marc Lanctot1 , Sander Dieleman1 , Dominik Grewe1 , John Nham2 , Nal Kalchbrenner1 , Ilya Sutskever2 , Timothy Lillicrap1 , Madeleine Leach1 , Koray Ka