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Subject: Re: Which Algorithm is considered the best ?

Author: Andrew Williams

Date: 08:22:44 08/14/00

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On August 11, 2000 at 07:55:47, Vincent Diepeveen wrote:

>On August 08, 2000 at 09:10:47, Andrew Williams wrote:
>
>>On August 08, 2000 at 08:26:03, Vincent Diepeveen wrote:
>>
>>>On August 07, 2000 at 05:46:40, Andrew Williams wrote:
>>>
>>>>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
>>>
>>>So i must give huge evidence, though it's dead obvious, here
>>>the average research thinking a new idea out, only need to proof
>>>his search algorithms at a testset of 24 positions, from which a
>>>bunch are mate in 2, and where all other positions each ply fail high
>>>more?
>>>
>>
>>You can either give "huge evidence", OR you can refrain from making
>>statements with nothing to back them up :-)  Remember, my point is
>>not that my way is better than yours, rather it is that there is not
>>enough evidence to make sweeping generalizations.
>>
>>
>>>On the other hand my proof is quite evident: in important positions
>>>in your game, always middlegame or start of an endgame,
>>>there you don't search that deep as for the easy moves in your game,
>>>like recaptures.
>>>
>>>Exactly there the score is flipping up and down. That happens each
>>>iteration.
>>>
>>>Now what would be the best search algorithm in such positions?
>>>Something that needs 10 researches to get a new PV?
>>>
>>>That for several moves each iteration?
>>>
>>>Or using PVS with at most 1 research?
>>>
>>
>>But this is the whole point of the question, isn't it? It's
>>difficult to compare 10 zero-window re-searches with one
>>re-search with a wide open window. Surely you have to agree
>>with this? Otherwise, why use PVS?
>>
>>Cheers
>>
>>Andrew
>
>No i do 1 search with zero-window. only the RESEARCH i do with
>open window. If you research that's needed.
>
>Note that the NUMBER of nodes that don't have a zerowindow
>is very very little.
>
>Now that can have to do with a good fliprate in DIEP (chance is
>very little that a node <= alfa flips to >= beta) but i'm sure
>that doing tens of zero window searches which mess up my hashtable
>(which is 8 probes by the way so don't blame my hashtable as it's
>better working as most progs hashtable as i'm using more probes!)
>bigtime. Every time you research a new tree, where in DIEP i'm
>used to search every time the SAME tree. The number of new nodes
>that DIEP sees each search is very small. So i just can't afford
>doing tens of researches.
>
>I still wonder how MTD objectively could work in cilkchess,
>as they original did only a single probe in hashtable, which is
>extremely bad for MTD. I just
>can't believe that MTD works then, but Don assured me it did.
>
>It has to do with the simple eval i guess, because my point is
>real simple:
>
>How in the world can you afford tens of searches, where i for 99.9999% of
>all nodes only need a single one?
>
>I'm sure that you measured in a period where some bugs were in the
>program. No objectively good testing person i know can use MTD.
>
>

I don't think that is a meaningful assertion.

Let me ask you a couple of questions: Do you believe that replacing MTD(f) by
PVS is going to make a significant difference to the play of a program? In other
words, do you think that SOS, PostModernist and AnMon would all be improved by
replacing MTD(f) with PVS? As I said before, I don't think there would be a
measurable difference.

Andrew

PS Sorry I've taken a while to get back to this. I've been away for a few days.

>
>>
>>>
>>>
>>>>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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