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Subject: Re: tactical sufficiency threshold

Author: Dann Corbit

Date: 23:30:17 01/20/00

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On January 21, 2000 at 02:24:15, Peter Kappler wrote:

>On January 21, 2000 at 01:16:56, Will Singleton wrote:
>
>>On January 20, 2000 at 22:25:42, Peter Kappler wrote:
>>
>>>>I think that more speed is not the answer, because at 15+ plies, you're already
>>>faced with with seriously diminishing returns per extra ply.  Any tactics that
>>>exist in the position (or that a human would ever have a prayer of finding) have
>>>long since been discovered, so the computer's positional evaluation starts to
>>>become the limiting factor.  And computer chess still has a long, long way to go
>>>in that area.  As you've stated yourself in other threads, the GMs are getting
>>>better at exploiting these weaknesses.
>>>
>>>--Peter
>>
>>I'd have to disagree here.  I don't see the diminishing returns as depth
>>increases.  There are certainly tactics present at any depth, and one can
>>imagine a positional advantage at 18 ply that couldn't be seen at 17.
>>
>
>Imagine a slow chess program that can only search 5 plies in the middlegame.
>Even simple combinations will be beyond its search horizon.  Now, take the same
>code, and put it on a much faster machine that can search 8 plies.  The 8 ply
>machine will destroy the 5 ply machine.  It won't even be close.  The 8 ply
>searcher would probably win every game.  At shallow depths, tactics are
>everything.
>
>Now lets imagine the same scenario, but with 15 plies vs 18 plies.  The 18 ply
>machine will be stronger, but I think the games would be very closely contested,
>with lots of draws, and a few wins for the 18 ply machine.  The concept I'm
>trying to illustrate is something that others have described as a "tactical
>sufficiency threshhold".  It's a point (depth) beyond which forced tactical
>sequences are extremely unlikely.
>
>In short, if you compare an n-ply searcher to an n+3 ply searcher, the
>difference in strength will certainly diminish as n grows.

This statement is false, according to experimentation.  Both Robert Hyatt and
Ernst Heinz have shown experimental evidence that there is *NO* drop-off in
value for additional plies.  See the "Crafty Goes Deep" and "DarkThought Goes
Deep" for experimental proof of the opposite of what you just said.

>>So, in the arena of comp vs human, speed is really the only answer.  Or, more to
>>the point, in the absence of improved algorithms, speed would still do the job.
>
>Speed always helps.  Beyond a certain depth, I just think knowledge helps much
>more.
What is knowlege in this case except understanding of the future?  That is
*exactly* what additional plies of search give.  Given enough depth, a tactical
program would be thinking strategically.  Imagine a program that gets 60 plies.
It is thinking 30 full moves into the future.  That, my good man, *is* strategy.

There may be superior ways to achieve a vision of the future.  I am not
disputing that a knowlege based engine may have a clear advantage over brute
force at some point.  But additional plies never "wear off" as not only
experimentation provides, but also simple induction.




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