In one of my posts I'm pretty sure I published the raw data.    

Nevertheless, I will see if I can find the data.  Whenever I upgrade my
computer I tend to archive everything off onto an obscure drive in some
obscure place I can never find - but I'm pretty sure I have this all
somewhere.

- Don


Nick Wedd wrote:
> In message <[EMAIL PROTECTED]>, Don Dailey <[EMAIL PROTECTED]>
> writes
>>
>>
>> Michael Williams wrote:
>>> It is a very nice graph.  I wish we could see the next 11 doublings.
>>
>> You and me both!
>>
>> Just a couple of other comments:
>>
>> The graph was smoothed with gnuplot's smooth bezier function - but the
>> raw graph looks very similar - just a little more jagged.
>
> And you erased the data points themselves.  I would consider the raw
> data points much more informative than a curve that has been fitted to
> them.  Can we please see the graph with the data points left in?
>
> Nick
>
>> If you straighten out the line - you get about 160 ELO per doubling,
>> just looking at the graph.   This is being a bit conservative and
>> rounding down.     I am pretty confident that you would continue to get
>> well over 100 per doubling for many more doublings and that this curve
>> would gradually taper off.
>>
>> I am also confident that if we could run this at 5 or 6 more doublings
>> and play 9x9 matches and this could be done at a reasonable time
>> control,    the program would give high dan players a difficult
>> time.       This is one of those claims that sounds ludicrous to most
>> players probably.   But when chess programs were only 2000 ELO
>> strength,  projections were made about what it would take to play
>> grandmaster strength.   Those projections were laughed at because nobody
>> believed such a silly thing could happen,  but if anything the
>> projections were conservative and by no means exaggerated.    It
>> actually happened very quickly due to Moores law.    The programs
>> responded dutifully to each new generation of computer with about 80 ELO
>> per doubling or so.
>>
>> Computers are now our masters in chess - matches are only given now with
>> handicaps so that the humans will have a chance.     The big surprise is
>> that a doubling is STILL worth about 60 ELO points,   the curve seems to
>> be tapering off but it's very gradual.     I expect exactly the same in
>> computer go.     This assumes the laws of physics and our ingenuity can
>> keep Moores law working for a few more doubling's!
>>
>> I also did enough of a study on 19x19 UCT GO programs to see that the
>> improvement is substantial.   It seems to be at least as much as in
>> 9x9.     I don't expect the 19x19 curve to taper off for a very long
>> time and I am confident that if Moores law can hang on for just a few
>> more years,   we will also be seeing at least mid dan go programs
>> playing 19x19 Go in a few years - assuming they are playing about 3 kyu
>> now and don't improve.
>>
>> Of course a little ingenuity on our part could speed this up!
>>
>> - Don
>>
>>
>>
>>
>>
>>>
>>>
>>> Don Dailey wrote:
>>>> I found the graph,  but I can't find the data and the details, 
>>>> although
>>>> it will be on one of the postings.  I think this was at least a year
>>>> ago, perhaps 2.
>>>> Here is what I remember:
>>>>
>>>> I played 11 different levels,  each a doubling of the previous.   The
>>>> weakest level I think was just 1024 play-outs.    I ran the study for
>>>> weeks in order to get substantial data points even from the highest
>>>> levels.    The highest level,  took a significant time to play a
>>>> single
>>>> game,  several times longer than the CGOS time control which was 10
>>>> minutes at the time.
>>>> The conditions were CGOS 9x9 conditions - komi 7.5,  and so on, just
>>>> like CGOS 9x9.
>>>>
>>>> I actually tested 2 basic versions,  one with heavy play-outs and one
>>>> with light play-outs.   The light play-out version basically plays
>>>> random games.
>>>>
>>>> Both programs were reasonably strong UCT programs - versions of
>>>> Lazarus
>>>> which probably would play at least 2100 strength on my current
>>>> computer
>>>> on the current 5 minute server.
>>>> See if this link works to see the graph:
>>>>
>>>>     http://greencheeks.homelinux.org:8015/~drd/study.jpg
>>>> The X axis represents the number of doublings and ELO ratings are
>>>> on the
>>>> Y axis.
>>>>
>>>> - Don
>>>>
>>>>
>>>>
>>>>
>>>>
>>>>
>>>> Michael Williams wrote:
>>>>> Don Dailey wrote:
>>>>>> Mark,
>>>>>>
>>>>>> I wasn't stating a precise value for a doubling when I said 100
>>>>>> ELO.    But it appears that it is actually worth a bit more than 100
>>>>>> ELO for a
>>>>>> doubling.        I did a massive study of this at one point a
>>>>>> year or
>>>>>> more ago with thousands of games with UCT based Lazarus program and
>>>>>> the
>>>>>> strength improvement per doubling was very  clear and impressive.
>>>>> Don, what komi did you use when you did that study?  Looking in the
>>>>> archives, all I can find is you saying that komi=9 is correct.  So
>>>>> does that mean 8.5 or 9.5?  Or did you allow draws?
>>>>>
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