As far as I know, the state of art in chess is some flavor of alphabeta
(as long as I read stockfish source correctly),
so basically they prove their current esimation is the best one up to a
certain depth.

MCTS has the benefit to enable various depth search depending on how
good the evaluation is.
I believe that related to the way alpha go and alphago zero is, it is
far superior to alphabeta.



Le 16/11/2017 à 16:43, Petr Baudis a écrit :
>   Hi,
>
>   when explaining AlphaGo Zero to a machine learning audience yesterday
>
>       
> (https://docs.google.com/presentation/d/1VIueYgFciGr9pxiGmoQyUQ088Ca4ouvEFDPoWpRO4oQ/view)
>
> it occurred to me that using MCTS in this setup is actually such
> a kludge!
>
>   Originally, we used MCTS because with the repeated simulations,
> we would be improving the accuracy of the arm reward estimates.  MCTS
> policies assume stationary distributions, which is violated every time
> we expand the tree, but it's an okay tradeoff if all you feed into the
> tree are rewards in the form of just Bernoulli trials.  Moreover, you
> could argue evaluations are somewhat monotonic with increasing node
> depths as you are basically just fixing a growing prefix of the MC
> simulation.
>
>   But now, we expand the nodes literally all the time, breaking the
> stationarity possibly in drastic ways.  There are no reevaluations that
> would improve your estimate.  The input isn't binary but an estimate in
> a continuous space.  Suddenly the Multi-armed Bandit analogy loses a lot
> of ground.
>
>   Therefore, can't we take the next step, and do away with MCTS?  Is
> there a theoretical viewpoint from which it still makes sense as the best
> policy improvement operator?
>
>   What would you say is the current state-of-art game tree search for
> chess?  That's a very unfamiliar world for me, to be honest all I really
> know is MCTS...
>

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