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Subject: Re: Which Algorithm is considered the best ?

Author: Andrew Williams

Date: 02:46:40 08/07/00

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On August 06, 2000 at 20:26:06, Vincent Diepeveen wrote:

>On August 06, 2000 at 20:15:46, Vincent Diepeveen wrote:
>
>>On August 06, 2000 at 16:48:16, Andrew Williams wrote:
>>
>>>On August 06, 2000 at 16:36:15, Vincent Diepeveen wrote:
>>>
>>>>Show me an MTD program that uses less nodes a ply as DIEP does.
>>>>
>>>
>>>I've no idea if Diep uses fewer nodes than others. However, even
>>>if it does, would you say this is due purely to the superiority
>>>of PVS over MTD? Surely your evaluation is different to other
>>>programs too?
>>>
>>>The point I want to make is that it's not helpful to Larry (or anyone
>>>anyone else) if you just say "MTD(f) sux! PVS rox!" UNLESS you provide
>>>some rationale for your opinion.
>>
>>DIEP uses hell of a lot nodes more if i use MTD.
>>
>>A pawn in DIEP is 1000 points worth.
>>
>>So correct me if i'm wrong:
>>
>>If this iteration i'm at +0.300 next iteration i'm at +0.600 with PVS,
>>then how many researches do i need with MTD?
>
>Now you'll answer probably: IF no other node is above 0.300 then it'll
>directly figure that out and you can skip ply. Ok there you get away.
>
>As i mentionned th eproblem aren't scores getting a bit higher.
>
>Actually MTD is great for testsets. MTD is having a huge problem if
>you start playing games with it however and the vice versa happens.
>
>If i'm at 0.600 now with PVS at iteration is 8, and the chess prog
>starts smelling trouble, then suppose we fail low to 0.300, now
>aren't that 300 researches with MTD?
>
> THREEHUNDERD RESEARCHES?
>
>Or how do you tackle that problem?

We've already had this debate, I think. What my program does is to accelerate
the steps. So it sees how many steps it has made in a particular direction then
reduces the guess by steps*steps. In the old days, I was a bit more creative
about this. Once I'd dropped more than 50 centipawns, I assumed I was losing a
pawn, so went straight to (guess-100) in the hope that I would have straddled
the real score. I wasn't completely convinced that that was better, so I went
for the simpler approach.

>
>If you jump BINARY to that value 0.300 from 0.600, then you also needed
>a lot of researches still and basically you don't profit from the MTD
>idea. Now DIEP stores with 8 probes a lot in the hashtable, so actually
>too many new nodes don't need to be searched, but if you fail low,
>knowing you still need another 3 ply to search in a game to get that 11 ply,
>and each ply you fail low with the next concept.
>

I'm not sure I fully understand this. Are you saying that your 8-probe HT
approach means that your researches are less of a problem than mine? If that's
what you mean, what has that to do with MTD?

>Move A gets best at ply n, then move A fails at ply n+1, there another
>2 new moves pop up before getting to ply = n+1, there the process repeats
>so a lot of researches till you get say 11 or 12 ply, if you ever get it.
>
>In the end you see huge depth differences with MTD, then i simply use my
>lemma: "chess is a game where the weakest chain counts". In contradictoin
>to throwing dices, where only 1 throw needs to be a hell of an end and
>a valid throw, we are not throwing to get a local maximum.
>
>If you search 40 moves, from which 10 moves are searched to 8 ply,
>and 30 are searched to 12 ply, then that sucks in my eyes bigtime
>using the above lemma compared to 40 searches of each 10 ply.
>
>Now in scientific magazines you quickly conclude: "that's a total of
>400 plies searched for the "weakest link approach", but for me as a
>researcher i see i did much more: 12*30 + 10 * 8 = 360 + 80 = 440.
>
>So if we look just to numbers: in positions where we fail high plies
>jump to huge numbers, but in positions where doubt rules, there the
>problem appears bigtime.
>
>So the data we had on our output is probably the same, but is chess
>a game of solving testsets as quick as possible?
>

Maybe it's because I don't understand some of what you are writing, but
I am unconvinced by your evidence. Let me be clear about what *I* am claiming:
you have not presented any evidence to suggest that MTD is inferior to PVS.
Note that I am not claiming that MTD is better than PVS; my view would be
that I just don't know. If forced to guess, I would say that I don't think
that the difference between the two approaches would be significant. In other
words, if I ripped out my mtdf() loop from PostModernist and replaced it with
a PVS implementation and worked on it for a couple of years, I would end up with
a program which was approximately as good as what I've already got. You seem
to be trying to make a much stronger claim, namely that if I replaced MTD with
PVS, I would end up with something significantly stronger than what I've already
got. I don't think you (or anyone else) has any evidence to support that claim.


Andrew


>>>Andrew
>>>
>>>PS Your "there are no commercial programs using MTD" argument doesn't
>>>really represent a rationale, in my opinion.
>>>
>>>
>>>>What diep is doing is very simple in search:
>>>>
>>>>  PVS (starting with -infinite)
>>>>  check extensions
>>>>  checks in qsearch
>>>>  nullmove R=3
>>>>  no other crap. no pruning. Perhaps at WMCC i prune a bit,
>>>>  but that's because against computers playing is different.
>>>>
>>>>  Yet i'm missing programs using less nodes a ply with MTD.
>>>>  I"m missing *any* deep searching program that uses MTD actually.
>>>>
>>>>On August 06, 2000 at 10:31:58, An
>>>>
>>>>
>>>>
>>>>drew Williams wrote:
>>>>
>>>>>On August 06, 2000 at 09:38:18, Vincent Diepeveen wrote:
>>>>>
>>>>>>On August 05, 2000 at 11:37:01, Larry Griffiths wrote:
>>>>>>
>>>>>>>Which Algorithm is considered the best now-adays.
>>>>>>
>>>>>>Depends upon what kind of program you make.
>>>>>>
>>>>>>If you have an evaluation function that has patterns which all deliver
>>>>>>very small penalties and bonusses, from which the summation also adds up
>>>>>>to a near to material only evaluation, then MTD is an interesting
>>>>>>alternative.
>>>>>
>>>>>PostModernist uses MTD. It would be incorrect to describe its evaluation
>>>>>as being "near to material-only". This opinion (on MTD) is one that Vincent
>>>>>has expounded before, without much in the way of supporting evidence.
>>>>>
>>>>>>
>>>>>>If the evaluation function is either big, using a pawn as being
>>>>>>worth 1000 points instead of 1 point, the eval is huge, or having high scores
>>>>>>for for example king safety and or passers,
>>>>>>then you have only 1 option that outperforms
>>>>>>*anything*, and that's nullwindow search also called principal variation
>>>>>>search which is pretty easy to implement.
>>>>>>
>>>>>>Usually at the start of your program MTD looks interesting, if your
>>>>>>program gets better (more knowledge in eval, less bugs in search and
>>>>>>better move ordering), then PVS usually outperforms anything.
>>>>>>
>>>>>
>>>>>I don't think there is any evidence anywhere that supports Vincent's opinion
>>>>>about MTD. Just stating an opinion does not make it true :-)
>>>>>
>>>>>>My advice is to start with PVS and not look to the rest.
>>>>>>
>>>>>>>NegaScout? MTD? PVS? Others?  I am looking to implement one of the best search
>>>>>>>type algorithms in my program.  I would like to get it into the 2000 rated range
>>>>>>>as this has been my lifetime goal.  Then, maybe install winboard or something so
>>>>>>>it can compete against other programs to get a rating.
>>>>>>>I dont like MTD as it seems to be complex.
>>>>>>>
>>>>>>>Larry.
>>>>>
>>>>>My advice would be to get a straight alpha-beta search working, starting
>>>>>with bounds of -inf..+inf. This won't be terribly competitive, but you
>>>>>can use it as a stable reference when you move on to more sophisticated
>>>>>approaches. When you're happy with your alpha-beta search, try implementing
>>>>>an aspiration-search, which is like alpha-beta except that you start with
>>>>>bounds of score-50 .. score+50, where score is the value returned from the
>>>>>previous iteration. You will need to provide some way of handling the case
>>>>>where the returned score from *this* search falls outside this "window".
>>>>>Once you've got your aspiration search working properly, you'll be in a
>>>>>strong position to decide where you want to go with your program.
>>>>>
>>>>>Above all, have fun with your program!
>>>>>
>>>>>Andrew Williams



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