Many Faces does this.

> 
> This is kind of interesting. Is anybody measuring their playout
> performance in real-time at the moment and performing this sort of
> computation, to check if overtaking the leading move is mathematically
> impossible?
> 
> 
> Christian
> 
> 
> Don Dailey wrote:
> >
> >
> > 2009/6/6 <[email protected] <mailto:[email protected]>>
> >
> >     I think this is one of those design decisions that nobody takes on
> >     faith. We all wind up testing it both ways and in various
> >     combinations.
> >
> >     An additional advantage of using the number of visits is that
> >     branches at the root become mathematically eliminated and can be
> >     pruned away. It often also allows the search to be stopped early.
> >     It can save a lot of time for forced moves.
> >
> >
> > Let me see if I understand what you are saying here.
> >
> > If you have set a goal time for thinking of 10 seconds,  and let's say
> > 6 seconds have progressed,   then it might be possible to stop the
> > search early if you do the math and see that it's not possible for any
> > other move to have more visits given an additional 4 seconds?
> >
> > So when there is a position that has only a single clearly best move,
> > perhaps a capture that cannot wait or a necessary atari defense,  then
> > you can probably save as much (or close to) as half the thinking time
> > on that move.    Is this correct?
> >
> > So if this understanding is correct, then it still makes sense to do
> > the "pebbles" test at this point and check to see if another move has
> > a higher score before stopping the search.    If the move really is
> > forced and necessary,  then the answer will be no and you can stop
> > early.  If there is a move that currently appears better but with a
> > "too small" sample,  then it seems foolish to stop early.    If the
> > move is a result of just a few lucky playouts, then it will quickly be
> > revealed and you can still stop early.
> >
> > - Don
> >
> >
> >
> >
> >
> >     - Dave Hillis
> >
> >
> >
> >     -----Original Message-----
> >     From: Michael Williams <[email protected]
> >     <mailto:[email protected]>>
> >     To: computer-go <[email protected]
> >     <mailto:[email protected]>>
> >     Sent: Sat, 6 Jun 2009 5:07 pm
> >     Subject: Re: [computer-go] Tweak to MCTS selection criterion
> >
> >     Another strategy to be considered is to not allow the thinking to
> >     cease until the maximum win rate and the maximum visit count agree
> >     on the same move. Obviously this requires some extra code to make
> >     sure you don't lose on time, etc.
> >
> >     Brian Sheppard wrote:
> >     > When a UCT search is completed, the usual selection criterion is
> >     > "choose the move that has the most trials." This is more stable
> >     > than choosing the move that has the highest percentage of wins,
> >     > since it is possible to have an unreliably high percentage if the
> >     > number of trials is small.
> >     > > I have a small tweak to that criterion. Pebbles uses "choose the
> >     > move that has the most wins." This rule selects the same move as
> >     > the conventional criterion in almost every case. The reason why
> >     > Pebbles' rule is superior is revealed in the case where the moves
> >     > differ.
> >     > > When Pebbles chooses a different move than the conventional
> >     criterion,
> >     > it is because Pebbles move has more wins in fewer trials. When
that
> >     > happens, Pebbles move would inevitably become the move with the
> >     most
> >     > trials if searching were to continue. So there is actually no
> >     downside.
> >     > Of course, the upside is minor, too.
> >     > > For validation, Pebbles has been using both strategies on CGOS
> >     games.
> >     > At present, the conventional selection strategy has won 341/498
> >     = 68.47%.
> >     > Pebbles strategy has won 415/583 = 71.18%. This isn't
statistically
> >     > conclusive or anything (0.7 standard deviations; we would need 4
> >     to 8
> >     > times as many trials for strong statistical evidence). But
Pebbles'
> >     > strategy should be better by a small amount, and it has been, so I
> >     > present it to you with confidence.
> >     > > Best,
> >     > Brian
> >     > > _______________________________________________
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