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Subject: Re: The law of diminishing returns

Author: Rolf Tueschen

Date: 14:16:05 07/13/02

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On July 13, 2002 at 16:57:51, José Carlos wrote:

>On July 13, 2002 at 15:09:18, Rolf Tueschen wrote:
>
>>On July 13, 2002 at 08:02:09, José Carlos wrote:
>>
>>>On July 13, 2002 at 07:15:53, Rolf Tueschen wrote:
>>>
>>>>On July 13, 2002 at 07:09:02, José Carlos wrote:
>>>>
>>>>>On July 13, 2002 at 05:35:24, Uri Blass wrote:
>>>>>
>>>>>>On July 12, 2002 at 19:16:31, José Carlos wrote:
>>>>>>
>>>>>>>On July 12, 2002 at 14:56:11, Ed Schröder wrote:
>>>>>>>
>>>>>>>>Hi CCC,
>>>>>>>>
>>>>>>>>In Rebel I maintain a statistic file, on every iteration a counter is
>>>>>>>>incremented with 1 (see column 2) representing the iteration depths Rebel has
>>>>>>>>searched. When a new best move is found a second counter is incremented with 1
>>>>>>>>(see column 3) representing how many times a new best move has been found on the
>>>>>>>>given iteration depth, between brackets the percentage is calculated.
>>>>>>>>
>>>>>>>>As you can see the very first plies Rebel often changes to new best moves,
>>>>>>>>however when the depth increases and increases the chance Rebel will change its
>>>>>>>>mind drops and drops. From 16 plies on the chance a new better move is found is
>>>>>>>>below 2%.
>>>>>>>>
>>>>>>>>I wonder what this all means, it is still said (and believed by many) that a
>>>>>>>>doubling in computer speed gives 30-50-70 elo. That could be very well true for
>>>>>>>>lower depths but the below statistic seem to imply something totally different,
>>>>>>>>a sharp diminishing return on deeper depths.
>>>>>>>>
>>>>>>>>Interesting also is colum 4 (Big Score Changes), whenever a big score difference
>>>>>>>>is measured (0.50 up or down) the percentage is calculated. This item seems to
>>>>>>>>be less sensitive than the change in best move. However the maintained "Big
>>>>>>>>Score Changes" statistic is not fully reliable as it also counts situations like
>>>>>>>>being a rook or queen up (or down) in positions and naturally you get (too) many
>>>>>>>>big score fluctuations. I have changed that and have limit the system to scores
>>>>>>>>in the range of -2.50 / +2.50 but for the moment have too few games played to
>>>>>>>>show the new statistic.
>>>>>>>>
>>>>>>>>Anyway the number of positions calculated seem to be more than sufficient (over
>>>>>>>>100,000) to be reliable. The origin came from extensive testing the latest Rebel
>>>>>>>>via self-play at various time controls.
>>>>>>>
>>>>>>>  Hi Ed, if I get this right, the second column (moves searched) is the number
>>>>>>>of positions in which the program has reached the depth given by column 1. If it
>>>>>>>was really "moves", there would be about 3x in depth 2 than in depth 1.
>>>>>>>  Then the idea is that many more changes happen in low depths because the
>>>>>>>program is there many more times, so I (ignoring "Big Changes") calculated a
>>>>>>>couple of other numbers:
>>>>>>>  The ratio moves changes / moves searched and the relative % of changes from
>>>>>>>ply to ply:
>>>>>>>
>>>>>>>                 SEARCH OVERVIEW
>>>>>>>                 ===============
>>>>>>>
>>>>>>>  (A)     (B)            (C)           (D)             (E)
>>>>>>>Depth    Moves          Moves     Moves Changed /   rel % of changes from
>>>>>>>       Searched        Changed    Moves Searched    ply n-1 to n
>>>>>>>
>>>>>>> 1     113768         0 =  0.0%        0
>>>>>>> 2     113768     44241 = 38.9%    0.388870333
>>>>>>> 3     113768     34262 = 30.1%    0.30115674        77.44%
>>>>>>> 4     113194     32619 = 28.8%    0.288168984       95.69%
>>>>>>> 5     113191     30697 = 27.1%    0.271196473       94.11%
>>>>>>> 6     108633     28516 = 26.2%    0.262498504       96.79%
>>>>>>> 7     108180     25437 = 23.5%    0.235135885       89.58%
>>>>>>> 8     102782     22417 = 21.8%    0.218102391       92.76%
>>>>>>> 9      82629     15400 = 18.6%    0.186375244       85.45%
>>>>>>>10      59032      9144 = 15.5%    0.154899038       83.11%
>>>>>>>11      39340      5183 = 13.2%    0.131748856       85.05%
>>>>>>>12      23496      2350 = 10.0%    0.100017024       75.91%
>>>>>>>13      12692       957 =  7.5%    0.075401828       75.39%
>>>>>>>14       6911       396 =  5.7%    0.057299957       75.99%
>>>>>>>15       4032       193 =  4.8%    0.047867063       83.54%
>>>>>>>16       2471        72 =  2.9%    0.029138001       60.87%
>>>>>>>17       1608        26 =  1.6%    0.016169154       55.49%
>>>>>>>18       1138        17 =  1.5%    0.014938489       92.39%
>>>>>>>19        921         6 =  0.7%    0.006514658       43.61%
>>>>>>>20        795         7 =  0.9%    0.008805031      135.16%
>>>>>>>21        711         1 =  0.1%    0.00140647        15.97%
>>>>>>>22        636         2 =  0.3%    0.003144654      223.58%
>>>>>>>23        574         5 =  0.9%    0.008710801      277.00%
>>>>>>>24        507         1 =  0.2%    0.001972387       22.64%
>>>>>>>25        451         3 =  0.7%    0.006651885      337.25%
>>>>>>>26        394         1 =  0.3%    0.002538071       38.16%
>>>>>>>27        343         2 =  0.6%    0.005830904      229.74%
>>>>>>>28        296         2 =  0.7%    0.006756757      115.88%
>>>>>>>29        269         0 =  0.0%    0                  0.00%
>>>>>>>
>>>>>>>  Column (D) means the probability at a certain position at a certain depth to
>>>>>>>get a change, according to your data, for a random position (I assume you chose
>>>>>>>random positions, because this data comes from real games).
>>>>>>
>>>>>>No
>>>>>>
>>>>>>I assume that the positions that was searched to big depthes like 16 are only
>>>>>>positions that the program had enough time to search in the game to depth 16.
>>>>>>
>>>>>>These positions are not random positions from games.
>>>>>>I expect in random positions from games to see at least 10% changes at depth 16.
>>>>>>
>>>>>>Uri
>>>>>
>>>>>  It's interesting that Ed, who has been doing chess programming for a lot of
>>>>>years rely on statistical data, and you, absolute newbie to chess programming
>>>>>can 'expect'. Quite amazing.
>>>>>
>>>>>  José C.
>>>>
>>>>Very telling about your lack of knowledge about interdisciplinary thinking.
>>>>
>>>>Rolf Tueschen
>>>
>>>  Well, you needed several hundred posts from Dann to understand the simple
>>>concept of elo ratings. Lack of knowledge is easy to solve, while lack of
>>>intelligence is a real problem.
>>>  BTW, interdisciplinary thinking has nothing to do with validating intuitions
>>>through experiments.
>>>
>>>  José C.
>>
>>Your habits are a bit strange for CCC. You want to insult people for their
>>intelligence? Didn't you know that this is out of fashion?
>
>  Did you feel insulted? Oh, sorry, I didn't insult you, really.
>
>>Also you cannot prove
>>your visions.
>
>  Visions? I don't have visions. Maybe you take me for someone else ?!
>
>>But I can prove where you lack of knowledge. Look at this:
>>
>>How do you know if or when I understood Elo system? Dann didn't
>>explain anything to _me_,
>
>  Don't feel bad because Dann had to explain that to you. It can happen to
>everybody.
>
>>He was the only one having the courage to give his verdict about SSDF
>>Elo system - _with_ me! We two the only ones. And you were dreaming of his role
>>as _my_ teacher? That's funny.
>
>  I'm glad you enjoied Dann's lessons. Dann is very good at that. I also always
>enjoy his posts.
>
>>You do not  understand what validity means... ;-)
>
>  Good argument!
>
>>You have no idea of what interdisciplinary means too.
>
>  Damn, you leave me without words!
>
>>You are the typical expert
>>with narrow views.
>
>  Thanks for calling me expert... bah, just a little degree in computer science
>and a few publications don't make me an expert...
>
>>Do not insult Uri.
>
>  I didn't. He knows it.
>  BTW, do you feel the need to defend him? Don't you think he is capable to
>defend himself? I think it's you who is insulting Uri.
>
>>Because he knows a lot about chess.
>
>  The first thing where we agree! Cheers!
>
>>Know
>>what I mean? Chess is the basis for computerchess. :)
>
>  Words of wisdom...
>
>>Only interdisciplinary help could enlighten you. If you have questions, please
>>tell me, I'll try to do my best for you.
>>
>>Rolf Tueschen
>
>  Thank you very much. I'll ask you anything I don't understand.
>
>  José C.

No reason to become so upset only because I told you not to insult Uri. You have
insulted him on his lack of intelligence and your argument was a very weak one.
Uri must be wrong because he told you something different to Ed Schröder. As I
told you then - you should take some lessons in interdisciplinary interactions.
That would also cure you from the hybris of seeing yourself better (or perhaps
on the top) than Uri only because you have "programmed" a few things.

BTW since when you believe in the magic of getting rid of some false guesses,
you wrote, just with a little irony? Are you no longer responsible then for what
you've said? Who taught you such strange nonsense? ;-)

Rolf Tueschen



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