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Subject: Re: tactical sufficiency threshold

Author: Peter Kappler

Date: 00:18:49 01/21/00

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On January 21, 2000 at 02:30:17, Dann Corbit wrote:

>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.
>

I have read that article, too,  and all I can say is that you and I interpreted
it very differently.

Do you really think that the difference between 5 and 8 plies is the same as the
difference between 15 and 18 plies?  Or 27 vs 30 plies?  Or 57 vs 60 plies?
Think about it...


>>>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?

knowledge == better static evaluation == less dependency on search


> That is
>*exactly* what additional plies of search give.

I agree.  It's a question of efficiency, I guess.  I'd rather have 18 plies with
a smart eval instead of 20 plies with a dumb one.  Remember that we started this
as a discussion of how to improve Deep Blue.


>  Given enough depth, a tactical
>program would be thinking strategically.

I agree with this, too.


--Peter



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