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> Do duplicate dice reduce the variance compared to random dice, and if so,
> by how much?"
I investigated this with JF rollouts, and my results were that duplicate
dice didn't help at all.
Fredrik told me that "these techniques are far less effective than
you might think," but he was surprised that I didn't find any benefit.
He felt that the benefit for races and priming games should be pretty
big.
My experiments were pretty crude, but I don't think duplicate dice
are worth much for most positions.
However, there is one situation where they have a lot more promise.
This is when you are going to roll out the *same* play at different
match scores. As Chuck wrote, the problem with using duplicate dice
for play vs play rollouts is that the positions quickly diverge, and
so what is lucky in one position may be unlucky in the other.
However, if we are rolling out the same position at two different match
scores, we might expect that the two rollouts would diverge much more
slowly, since they start out the same, and very often the correct play
at one score will also be correct at the other.
David Montgomery
monty@cs.umd.edu
monty on FIBS
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