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Subject: Re: Could you "BUY" the world championship

Author: Drexel,Michael

Date: 11:11:57 07/22/03

Go up one level in this thread


On July 22, 2003 at 07:13:06, Uri Blass wrote:

>On July 22, 2003 at 05:30:19, Drexel,Michael wrote:
>
>>On July 22, 2003 at 02:27:31, Dann Corbit wrote:
>>
>>>On July 22, 2003 at 02:22:44, Omid David Tabibi wrote:
>>>
>>>>On July 22, 2003 at 00:04:58, Dann Corbit wrote:
>>>>
>>>>>On July 21, 2003 at 23:50:38, Omid David Tabibi wrote:
>>>>>
>>>>>>On July 21, 2003 at 23:47:12, Derek Paquette wrote:
>>>>>>
>>>>>>>Hey, while I agree it would cost  A LOT
>>>>>>>i have to disagree with you on the point that it "isn't" possible.
>>>>>>>While all wins might seem crazy,
>>>>>>>If 15 million dollars was invested into it,
>>>>>>>a machine that dwarfed deep blue,
>>>>>>>with much larger openning books, (only 4000 lines for deep blue, and people
>>>>>>>think DJ8 that has hundreds of thousands was just as strong? dont' get that, but
>>>>>>>neway)
>>>>>>>
>>>>>>>
>>>>>>>if its looking at a TRUE 20 ply ahead, I don't see how it could lose with that
>>>>>>>much invested.
>>>>>>
>>>>>>It will lose very rarely, but will still draw quite frequently...
>>>>>
>>>>>Let's suppose that though a titanic bucket of money, the speed of Deep Blue were
>>>>>increased thusly:
>>>>>
>>>>>Per-CPU speedup 100x (already achieved 10x, I think -- 100x should be doable)
>>>>>CPU number increase 10x (480 to 4,800)
>>>>>
>>>>>so we have 1000x power increase.  That would correspond to about 10 doublings in
>>>>>power.
>>>>>That would be 500 ELO.
>>>>
>>>>How did you calculate this?
>>>>
>>>>Assuming a branching factor of 3, log(1000)/log(3) is about 6 plies. 6
>>>>additional plies will increase the strength significantly, but not more than 200
>>>>Elo in my opinion (diminishing returns, etc).
>>>
>>>50 ELO per doubling of speed is the lower end of the standard estimates (50-70
>>>ELO is the heuristic figure).
>>
>>This estimate is for comp-comp. Contrary to popular believe the increase is less
>>than 15 ELO against humans. There is of course the psychological factor.
>>Chess players with no experience in Computer Chess might be scared playing the
>>Super Computer and play much weaker (passive) as they would play against a mere
>>PC.
>>
>>>
>>>As far as diminishing returns go, it has been demonstrated by one study and
>>>refuted by another.
>>>
>>>>Computers are already stronger than humans in tactics, so 6 additional plies
>>>>will just be an overkill. On the other hand, those 6 additional plies will
>>>>hardly make up for the program's inferior positional understanding in comparison
>>>>to humans.
>>>
>>>With 6 more plies, tactics become strategy.  If a program that can consider 12
>>>plies (6 full moves) can now consider 18 plies, that is 9 fullmoves ahead.
>>
>>9 fullmoves? This is almost nothing in a closed position. It wont help you a
>>thing to find better moves in the Kings Indian defence for example.
>
>I do not think that you are tight here:
>1)finding better moves in a lost position is also important because the opponent
>with the advantage may fail to win the game.

What do you mean with better moves? For a computer is a better move in a lost
position always the move with the best (least worse) score. This move however
might lead to a position the human is happy to play because win is easy and only
a matter of time. Very often it is much better to choose a move which loses
immediately but only due to complicated tactics (or due to a move which seems to
be not logical at first sight) so that a human might miss the win.

>
>2)programs may avoid part of the blunders that they do if they search deeper.
>They do not need to see that the blunder is losing and it is enough if they see
>that another move is better.
>If they are too optimistic they may reject the wrong move because the opponent
>can force a draw.

Of course it is always better to search deeper but it in some positions it is by
far not deep enough.

Michael

>
>Uri



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