Crazy Shadows in
Monte Carlo Go Histograms
Crazy Analysis by CrazyStone, programmer: Remi Coulom.
The site shows examples from the bot "Crazy Stone, 2012 Edition".
In each diagram the x-axis means the outcome of the random
games, given in absolute points.
In most diagrams it ranges from about +150 to -150 points.
Wins for White are given on the left side in the diagrams:
in white; in some diagrams I changed the colour to red for artistic
reasons. Wins for Black are on the right side, given in colour black.
The y-axis shows the frequencie by which the corresponding results
Special human weapon against bots: produce multiple
In a "normal" go game the outcomes of random games are distributed
like in these Gauss-shaped histograms. These are from a game
won by bot "Crazy Stone" against Catalin Taranu (5p), where the
bot had 4 handicap stones.
Bots can run in evaluation problems when the position has some
local fights which are not fully resolved, yet. Here, "not fully
resolved" can mean that the outcomes of the fights are obvious
for humans but not for bots who rely on random games.
The diagrams in this picture are from another game between Crazy
Stone and Catalin Taranu, where the human successfully created
a position which were difficult to evaluate for Monte Carlo
with its random game evaluations.
One more example from the small 13x13-board. This is from one of
only two games lost by bot Pachi in the Congress tournament.
(The other lost game happened due to the fact that the bot acted
according to a wrong komi value.) Alex Ketelaars, a
strong 1-dan from the Netherlands, was White and managed to bring
Pachi in a position
with several local fights that were formally not resolved...
All three games were played during the European Go Congress
in Bonn, July and August 2012. The numbers in the diagrams
are the move numbers after which the statistics were taken.
The histograms were generated by the nice analysis tool of
Warning: This approach does not work in every single game
of a human against a Monte Carlo bot!
Side effect: some of the pictures look really nice.
When I meditated about the diagrams for some time I finally
got the idea to call them "Crazy Shadows".
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