-------- Original-Nachricht --------
> Datum: Fri, 17 Jun 2011 11:58:45 +0100


Von: "Jacques Basaldúa" <[email protected]>
> ...
> When I was experimenting with learning playout weights
> using GAs (something abandoned I have something much
> better in progress) I found easy to make a chain where:
> 
> B is 50 Elo point stronger than A
> C is 50 Elo point stronger than B, D than C, E than D
> 
> And when you confront E vs A and expect the difference
> to to be 200-ish it is only 30 points. 

I am not a go programmer, but in experiments with very
simple model games I found the following phenomenon,
when looking at the "basic" Monte Carlo algorithm in
3 levels: MC(1), MC(2), MC(4).
[Here MC(k) is the version which makes k random games for each candidate move.]

I found several cases (more than 30 % of the games analysed this way)
with the following phenomenon:
Elo difference between MC(1) and MC(2) = k(1,2)
Elo difference between MC(2) and MC(4) = k(2,4).
Elo difference between MC(1) and MC(4) > k(1,2) + k(2,4)

The games under investigation were so simple that I was able to run
100,000 matches in selfplay (or even more), and the inequality above
( k(1,4) > k(1,2) + k(2,4) ) was statistically significant.

Ingo

PS. In this context I would also like to mention (once more) my
technical report on the basin structures in self-play. See at
http://www.althofer.de/monte-carlo-basins-althoefer.pdf
So, the winning quota at double resources does not behave monotonically
(for very quick searches).
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