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Value Estimation

Play Tic-tac-toe with Arthur Cayley! Part Two: Expansion

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Submitted by Marc on Wed, 02/17/2016 - 23:39

In part 1 of this series, the Tic-tac-toe reinforcement learning task was expressed as a Combinatorial Group with the hypothesis that the expansion of the group into a Cayley Graph could be used to learn its associated game tree. In this instalment, the expansion of the group into a Caley Graph will be examined in a bit more detail. Initially, the Tic-tac-toe group will be set aside in favour of a simpler domain which will offer a more compact and pedagogical representation. However, the expansion of the Tic-tac-toe group should follow the same process, this article will circle back to the Tic-tac-toe domain to highlight the equivalences which should ensure that this is so.

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