Author: Wylie Garvin
Date: 14:25:48 02/03/02
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On February 03, 2002 at 13:32:42, William H Rogers wrote: >Here is an item from Chess Skill in Man and Machine >One of the first programs written for computers and later turned into Deep Blue >well, I least I think that it lead to Deep Blue. >The ran a series of 300 games, playing the program against itself with only >different ply settings to see the difference in playing strength. >Here are the results: > > Rate P4 P5 P6 P7 P8 P9 >P4 1235 -- 5.0 .5 0 0 >P5 1570 15 -- 3.5 3.0 .5 0 >P6 1826 19.5 16.5 --- 4.0 1.5 1.5 >P7 2031 20 17 16 --- 5.0 4.0 >P8 2208 20 19.5 18.5 15.0 --- 5.5 >P9 2328 20 20 18.5 16.0 14.5 --- > >As you can see in the lower ply numbers the program gained the most strenght, >but as the ply level got higher the rating increase became smaller and smaller. >It would be nice to see some math on a curve to estimate the over all effects. >Bill Hi, There's a 1997 paper by Schaeffer et. al. that refutes the idea that the increase in strength is constant per ply at high search depths. They suggest that there are diminishing returns for deeper search, and that previous research didn't reveal it simply because chess programs make lots of evaluation mistakes. http://citeseer.nj.nec.com/junghanns97diminishing.html http://citeseer.nj.nec.com/rd/0%2C17407%2C1%2C0.25%2CDownload/http%253A%252F%252Fciteseer.nj.nec.com/compress/0/papers/cs/1444/http%253AzSzzSzwww.cs.ualberta.cazSz%257EandreaszSzPaperszSzdim.ps.gz/junghanns97diminishing.ps regards, Wylie
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