RE: [computer-go] Analysis of 6x6 Go

2008-09-29 Thread dave.devos
Sorry, I just realized this is about 6x6 go. Please ignore my previous response.
 
Dave



Van: [EMAIL PROTECTED]
Verzonden: ma 29-9-2008 20:09
Aan: [EMAIL PROTECTED]; computer-go; computer-go
Onderwerp: RE: [computer-go] Analysis of 6x6 Go


I (EGF 4d) am probably not strong enough to give well founded comments on 9x9 
games, but already move 2 at D3 seems strange from a shape point of view 
(whatever that may be worth on 9x9)
The continuation B C3 B4 D5 seems the most natural continuation once D3 is 
played, but on 19x19 this is kind of exchange is usually bad for white (he gets 
a hane on the head of two stones).
Black's last move at D5 would definitely be better than D2 on 19x19 and I would 
be very surpised if D2 would be better on 9x9.
 
I'm speculating Leela's tendency to respond B C4 at D3 to be the cause of the 
discrepancy between the 2.0 komi from Leela and the 4.0 komi from Erik. 
Might W D3 be 2 points worse then the optimal white move (unknown to me)?
 
Is there any support for W D3 being good from professional 9x9 games? I've 
never seen it in professional play, but I'm not a specialist on 9x9.
 
Dave



Van: [EMAIL PROTECTED] namens Don Dailey
Verzonden: do 25-9-2008 22:14
Aan: computer-go
Onderwerp: Re: [computer-go] Analysis of 6x6 Go



On Wed, 2008-09-24 at 19:48 +0200, Erik van der Werf wrote:
> On Wed, Sep 24, 2008 at 6:30 PM, Don Dailey <[EMAIL PROTECTED]> wrote:
> > I don't know if even size boards are special, but it seems to me that
> > such small boards should have very high komi's.   4.0 seems pretty low
> > but then I'm really no expert on komi's and I'm a pretty weak player so
> > I'm not in any position to really say.
>
> The center is the best opening move for all small odd size boards.
> Small even size boards have a lower komi because there is no center
> point.
>
> I'm quite confident that 4.0 is the correct komi for 6x6.

I am playing games with Leela at 5 minutes per side on a loaded core 2
duo computer. 

>From the evidence I have now, which I admit is not enough to base a
solid conclusion on,  it looks like 2.0 is the correct komi.

When I set komi to 1.5,  black has won 10 out of 10 games.

When I set komi to 2.5, black onl wins 16.667% or 2 out of 12 games. 

When I did the 7x7 study over a year ago (or maybe 2) I noticed that at
reasonably strong levels it tended to be very one sided in one direction
or other based on how you set komi. 

My plan is to run a LOT of games at 2.5 komi and then analyze the
results based on the move sequences looking to see if some common early
black blunder is preventing wins for black at 2.5 komi.  

When I do this I will try to reorient the move sequence to some
canonical representation so that we are not looking at too many
equivalent games with different orientations. 

Superficially, I noticed this:

  1 W C4 D3 C3 D4 D2 E2
  1 B C4 D3 C3 D4 D5 C2

Which means when black played D5 on move 5 he won, but when he played D2
he lost.

   1 B C4 D3 C3 D4 D2 E2 D5 E5 E3
   1 W C4 D3 C3 D4 D2 E2 D5 E5 E4

Same above - Black played 2 different moves and got two different
results.


The other games vary before this but could be transpositions of these
positions - I don't have the time right now to compute all the
transpositions to check this out.

I didn't actually look at those moves so I don't know if they are game
changing or not.   Are there any strong players willing to comment on
these 2 diversions?

The other possibility is that white is supposed to WIN all those games
and is making the occasional error.   The results indicate that is a
more likely possibility.


Here is the complete list of games up to the 9th move.  The first column
is the number of times this exact result/sequence was played.

  1 W D4 C3 C4 D3 B3 B2 D2 C2 E4
  1 W D4 C3 D3 C4 C5 B5 B3 C2 D6
  1 B C4 D3 C3 D4 D2 E2 D5 E5 E3
  1 W C4 D3 C3 D4 D2 E2 D5 E5 E4
  1 B C4 D3 C3 D4 D5 C2 E5 B2 D2
  1 W C4 D3 C3 D4 D5 E5 D2 E2 E4
  1 W C4 D3 D4 C3 B3 B2 E3 E2 D2
  1 W C3 D4 C4 D3 D2 C5 E2 B5 E4
  1 W C3 D4 C4 D3 D2 E2 D5 E5 E4
  2 W C3 D4 C4 D3 D5 E5 D2 E2 E4
  1 W C3 D4 D3 C4 B3 E3 E2 E4 B5
  1 W C3 D4 D3 C4 B4 B5 D5 B3 B2
  2 W C3 D4 D3 C4 B4 B5 E4 E5 D5




- Don





  1 W C4 D3 C3 D4 D2 E2
  1 B C4 D3 C3 D4 D5 C2



But for now, perhaps you stronger go players can look at the following 6
moves sequences that represent the games.   The first column is how many
times this exact result/sequence occurred.   For instance you see that
white won 3 times when the game started "C3 D4 D3 C4 B4 B5"

Does anyone see any obviously bad moves for black?

  1 W D4 C3 C4 D3 B3 B2
  1 W D4 C3 D3 C4 C5 B5
  1 B C4 D3 C3 D4 D2 E2
  1 W C4 D3 C3 D4 D2 E2
  1 B C4 D3 C3 D4 D5 C2
  1 W C4 D3 C3 D4 

RE: [computer-go] Analysis of 6x6 Go

2008-09-29 Thread dave.devos
I (EGF 4d) am probably not strong enough to give well founded comments on 9x9 
games, but already move 2 at D3 seems strange from a shape point of view 
(whatever that may be worth on 9x9)
The continuation B C3 B4 D5 seems the most natural continuation once D3 is 
played, but on 19x19 this is kind of exchange is usually bad for white (he gets 
a hane on the head of two stones).
Black's last move at D5 would definitely be better than D2 on 19x19 and I would 
be very surpised if D2 would be better on 9x9.
 
I'm speculating Leela's tendency to respond B C4 at D3 to be the cause of the 
discrepancy between the 2.0 komi from Leela and the 4.0 komi from Erik. 
Might W D3 be 2 points worse then the optimal white move (unknown to me)?
 
Is there any support for W D3 being good from professional 9x9 games? I've 
never seen it in professional play, but I'm not a specialist on 9x9.
 
Dave



Van: [EMAIL PROTECTED] namens Don Dailey
Verzonden: do 25-9-2008 22:14
Aan: computer-go
Onderwerp: Re: [computer-go] Analysis of 6x6 Go



On Wed, 2008-09-24 at 19:48 +0200, Erik van der Werf wrote:
> On Wed, Sep 24, 2008 at 6:30 PM, Don Dailey <[EMAIL PROTECTED]> wrote:
> > I don't know if even size boards are special, but it seems to me that
> > such small boards should have very high komi's.   4.0 seems pretty low
> > but then I'm really no expert on komi's and I'm a pretty weak player so
> > I'm not in any position to really say.
>
> The center is the best opening move for all small odd size boards.
> Small even size boards have a lower komi because there is no center
> point.
>
> I'm quite confident that 4.0 is the correct komi for 6x6.

I am playing games with Leela at 5 minutes per side on a loaded core 2
duo computer. 

>From the evidence I have now, which I admit is not enough to base a
solid conclusion on,  it looks like 2.0 is the correct komi.

When I set komi to 1.5,  black has won 10 out of 10 games.

When I set komi to 2.5, black onl wins 16.667% or 2 out of 12 games. 

When I did the 7x7 study over a year ago (or maybe 2) I noticed that at
reasonably strong levels it tended to be very one sided in one direction
or other based on how you set komi. 

My plan is to run a LOT of games at 2.5 komi and then analyze the
results based on the move sequences looking to see if some common early
black blunder is preventing wins for black at 2.5 komi.  

When I do this I will try to reorient the move sequence to some
canonical representation so that we are not looking at too many
equivalent games with different orientations. 

Superficially, I noticed this:

  1 W C4 D3 C3 D4 D2 E2
  1 B C4 D3 C3 D4 D5 C2

Which means when black played D5 on move 5 he won, but when he played D2
he lost.

   1 B C4 D3 C3 D4 D2 E2 D5 E5 E3
   1 W C4 D3 C3 D4 D2 E2 D5 E5 E4

Same above - Black played 2 different moves and got two different
results.


The other games vary before this but could be transpositions of these
positions - I don't have the time right now to compute all the
transpositions to check this out.

I didn't actually look at those moves so I don't know if they are game
changing or not.   Are there any strong players willing to comment on
these 2 diversions?

The other possibility is that white is supposed to WIN all those games
and is making the occasional error.   The results indicate that is a
more likely possibility.


Here is the complete list of games up to the 9th move.  The first column
is the number of times this exact result/sequence was played.

  1 W D4 C3 C4 D3 B3 B2 D2 C2 E4
  1 W D4 C3 D3 C4 C5 B5 B3 C2 D6
  1 B C4 D3 C3 D4 D2 E2 D5 E5 E3
  1 W C4 D3 C3 D4 D2 E2 D5 E5 E4
  1 B C4 D3 C3 D4 D5 C2 E5 B2 D2
  1 W C4 D3 C3 D4 D5 E5 D2 E2 E4
  1 W C4 D3 D4 C3 B3 B2 E3 E2 D2
  1 W C3 D4 C4 D3 D2 C5 E2 B5 E4
  1 W C3 D4 C4 D3 D2 E2 D5 E5 E4
  2 W C3 D4 C4 D3 D5 E5 D2 E2 E4
  1 W C3 D4 D3 C4 B3 E3 E2 E4 B5
  1 W C3 D4 D3 C4 B4 B5 D5 B3 B2
  2 W C3 D4 D3 C4 B4 B5 E4 E5 D5




- Don





  1 W C4 D3 C3 D4 D2 E2
  1 B C4 D3 C3 D4 D5 C2



But for now, perhaps you stronger go players can look at the following 6
moves sequences that represent the games.   The first column is how many
times this exact result/sequence occurred.   For instance you see that
white won 3 times when the game started "C3 D4 D3 C4 B4 B5"

Does anyone see any obviously bad moves for black?

  1 W D4 C3 C4 D3 B3 B2
  1 W D4 C3 D3 C4 C5 B5
  1 B C4 D3 C3 D4 D2 E2
  1 W C4 D3 C3 D4 D2 E2
  1 B C4 D3 C3 D4 D5 C2
  1 W C4 D3 C3 D4 D5 E5
  1 W C4 D3 D4 C3 B3 B2
  1 W C3 D4 C4 D3 D2 C5
  1 W C3 D4 C4 D3 D2 E2
  1 W C3 D4 C4 D3 D5 E5
  1 W C3 D4 D3 C4 B3 E3
  3 W C3 D4 D3 C4 B4 B5

What I see that is slightly interesting (just from this data, not
looking at the actual position) is 

Re: [computer-go] Analysis of 6x6 Go

2008-09-27 Thread Vincent Diepeveen

You guess also in go: side who begins wins game?

Vincent

On Sep 22, 2008, at 9:08 PM, Erik van der Werf wrote:

On Mon, Sep 22, 2008 at 7:14 PM, "Ingo Althöfer" <3-Hirn- 
[EMAIL PROTECTED]> wrote:

>>> Does someone here know of other (documented) attempts
>>> to solve 6x6 Go?
>>
>> Didn't Erik van der Werf do it under his rules?
>
> He did it for 5x5-Go, see at
> http://erikvanderwerf.tengen.nl/5x5/5x5solved.html
>

Several 6x6 positions were solved, but not the empty board. E.g.,  
for the following position we could prove a Black win by at least 2  
points (which took about 13 days in 2002).


. . . . . .
. . . # O .
. . # O . .
. . # O . .
. . . # O .
. . . . . .


Optimal play on 6x6 under Chinese rules is expected to give a Black  
win by 4 points.


Erik


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Re: [computer-go] Analysis of 6x6 Go

2008-09-27 Thread Gian-Carlo Pascutto
Don Dailey wrote:

> The only thing I know to check is to see if I am sending the proper komi
> to the programs.The only other possible glitch is that the version
> of leela I am using is ignoring the komi I send - but I don't think this
> is the case.   

The problem was that Leela reset the komi on a boardsize command, which
is against the GTP spec.

-- 
GCP
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Re: [computer-go] Analysis of 6x6 Go

2008-09-27 Thread steve uurtamo
even-sized boards have the disability that there's no
tengen.  i think that this makes mirror go functional
until fairly late in the game.

s.
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Re: [computer-go] Analysis of 6x6 Go

2008-09-27 Thread Don Dailey
Ok,  I resolved what I believe is the problem, it's an interface issue.

I'm now testing komi 3.5 to see what happens.   If 4.0 is the correct
komi, we should expect to see black win the majority of the games.If
this happens I'll try switching to 4.5 komi.   If white then wins,  it
will be empirical evidence that 4.0 is indeed the correct komi.  

- Don





On Thu, 2008-09-25 at 10:48 -0400, Don Dailey wrote:
> On Wed, 2008-09-24 at 19:48 +0200, Erik van der Werf wrote:
> > On Wed, Sep 24, 2008 at 6:30 PM, Don Dailey <[EMAIL PROTECTED]> wrote:
> > > I don't know if even size boards are special, but it seems to me that
> > > such small boards should have very high komi's.   4.0 seems pretty low
> > > but then I'm really no expert on komi's and I'm a pretty weak player so
> > > I'm not in any position to really say.
> > 
> > The center is the best opening move for all small odd size boards.
> > Small even size boards have a lower komi because there is no center
> > point.
> > 
> > I'm quite confident that 4.0 is the correct komi for 6x6.
> 
> I'm playing a series of games with Leela to see what Leela thinks is the
> correct komi for 6x6 boards.   
> 
> I must be doing something wrong, but I cannot figure out what it is.  I
> tried a bunch of 3.5 komi games and white won all 12 of them.
> 
> So I tried 2.5 and white won the first game.
> 
> So I tried 0.5 komi and white won 2 games!  
> 
> The only thing I know to check is to see if I am sending the proper komi
> to the programs.The only other possible glitch is that the version
> of leela I am using is ignoring the komi I send - but I don't think this
> is the case.   I can test that on a bigger board.
> 
> Here are the two 0.5 komi games:
> 
> (;GM[1]FF[4]CA[UTF-8]
> RU[Chinese]SZ[6]KM[0.5]
> PW[LeeA]PB[LeeB]DT[2008-09-25]PC[Autotest]RE[W+Resign]GN[1]
> ;B[cd]
> ;W[dc]
> ;B[dd]
> ;W[cc]
> ;B[db]
> ;W[ed]
> ;B[bc]
> ;W[cb]
> ;B[eb]
> ;W[ec]
> ;B[bb]
> ;W[ce]
> ;B[ee]
> ;W[de]
> ;B[bd]
> ;W[fe]
> ;B[ef]
> ;W[df]
> )
> 
> (;GM[1]FF[4]CA[UTF-8]
> RU[Chinese]SZ[6]KM[0.5]
> PW[LeeB]PB[LeeA]DT[2008-09-25]PC[Autotest]RE[W+Resign]GN[2]
> ;B[dd]
> ;W[cc]
> ;B[cd]
> ;W[dc]
> ;B[ec]
> ;W[eb]
> ;B[ca]
> ;W[ed]
> ;B[ee]
> ;W[bd]
> ;B[fc]
> ;W[bb]
> ;B[be]
> ;W[ae]
> )
> 
> 
> 
> - Don
> 
> 
> 
> 
> 
> 
> 
> > 
> > Erik
> > ___
> > computer-go mailing list
> > computer-go@computer-go.org
> > http://www.computer-go.org/mailman/listinfo/computer-go/
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Re: [computer-go] Analysis of 6x6 Go

2008-09-27 Thread Don Dailey
On Wed, 2008-09-24 at 19:48 +0200, Erik van der Werf wrote:
> On Wed, Sep 24, 2008 at 6:30 PM, Don Dailey <[EMAIL PROTECTED]> wrote:
> > I don't know if even size boards are special, but it seems to me that
> > such small boards should have very high komi's.   4.0 seems pretty low
> > but then I'm really no expert on komi's and I'm a pretty weak player so
> > I'm not in any position to really say.
> 
> The center is the best opening move for all small odd size boards.
> Small even size boards have a lower komi because there is no center
> point.
> 
> I'm quite confident that 4.0 is the correct komi for 6x6.

I am playing games with Leela at 5 minutes per side on a loaded core 2
duo computer.  

From the evidence I have now, which I admit is not enough to base a
solid conclusion on,  it looks like 2.0 is the correct komi.

When I set komi to 1.5,  black has won 10 out of 10 games.

When I set komi to 2.5, black onl wins 16.667% or 2 out of 12 games.  

When I did the 7x7 study over a year ago (or maybe 2) I noticed that at
reasonably strong levels it tended to be very one sided in one direction
or other based on how you set komi.  

My plan is to run a LOT of games at 2.5 komi and then analyze the
results based on the move sequences looking to see if some common early
black blunder is preventing wins for black at 2.5 komi.   

When I do this I will try to reorient the move sequence to some
canonical representation so that we are not looking at too many
equivalent games with different orientations.  

Superficially, I noticed this:

  1 W C4 D3 C3 D4 D2 E2 
  1 B C4 D3 C3 D4 D5 C2 

Which means when black played D5 on move 5 he won, but when he played D2
he lost.

   1 B C4 D3 C3 D4 D2 E2 D5 E5 E3
   1 W C4 D3 C3 D4 D2 E2 D5 E5 E4

Same above - Black played 2 different moves and got two different
results.


The other games vary before this but could be transpositions of these
positions - I don't have the time right now to compute all the
transpositions to check this out.

I didn't actually look at those moves so I don't know if they are game
changing or not.   Are there any strong players willing to comment on
these 2 diversions?

The other possibility is that white is supposed to WIN all those games
and is making the occasional error.   The results indicate that is a
more likely possibility.


Here is the complete list of games up to the 9th move.  The first column
is the number of times this exact result/sequence was played.

  1 W D4 C3 C4 D3 B3 B2 D2 C2 E4
  1 W D4 C3 D3 C4 C5 B5 B3 C2 D6
  1 B C4 D3 C3 D4 D2 E2 D5 E5 E3
  1 W C4 D3 C3 D4 D2 E2 D5 E5 E4
  1 B C4 D3 C3 D4 D5 C2 E5 B2 D2
  1 W C4 D3 C3 D4 D5 E5 D2 E2 E4
  1 W C4 D3 D4 C3 B3 B2 E3 E2 D2
  1 W C3 D4 C4 D3 D2 C5 E2 B5 E4
  1 W C3 D4 C4 D3 D2 E2 D5 E5 E4
  2 W C3 D4 C4 D3 D5 E5 D2 E2 E4
  1 W C3 D4 D3 C4 B3 E3 E2 E4 B5
  1 W C3 D4 D3 C4 B4 B5 D5 B3 B2
  2 W C3 D4 D3 C4 B4 B5 E4 E5 D5




- Don





  1 W C4 D3 C3 D4 D2 E2 
  1 B C4 D3 C3 D4 D5 C2 



But for now, perhaps you stronger go players can look at the following 6
moves sequences that represent the games.   The first column is how many
times this exact result/sequence occurred.   For instance you see that
white won 3 times when the game started "C3 D4 D3 C4 B4 B5"

Does anyone see any obviously bad moves for black?

  1 W D4 C3 C4 D3 B3 B2 
  1 W D4 C3 D3 C4 C5 B5 
  1 B C4 D3 C3 D4 D2 E2 
  1 W C4 D3 C3 D4 D2 E2 
  1 B C4 D3 C3 D4 D5 C2 
  1 W C4 D3 C3 D4 D5 E5 
  1 W C4 D3 D4 C3 B3 B2 
  1 W C3 D4 C4 D3 D2 C5 
  1 W C3 D4 C4 D3 D2 E2 
  1 W C3 D4 C4 D3 D5 E5 
  1 W C3 D4 D3 C4 B3 E3 
  3 W C3 D4 D3 C4 B4 B5 

What I see that is slightly interesting (just from this data, not
looking at the actual position) is that  C4 D3 C3 D4 D2



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Re: [computer-go] Analysis of 6x6 Go

2008-09-25 Thread Don Dailey
On Wed, 2008-09-24 at 19:48 +0200, Erik van der Werf wrote:
> On Wed, Sep 24, 2008 at 6:30 PM, Don Dailey <[EMAIL PROTECTED]> wrote:
> > I don't know if even size boards are special, but it seems to me that
> > such small boards should have very high komi's.   4.0 seems pretty low
> > but then I'm really no expert on komi's and I'm a pretty weak player so
> > I'm not in any position to really say.
> 
> The center is the best opening move for all small odd size boards.
> Small even size boards have a lower komi because there is no center
> point.
> 
> I'm quite confident that 4.0 is the correct komi for 6x6.

I'm playing a series of games with Leela to see what Leela thinks is the
correct komi for 6x6 boards.   

I must be doing something wrong, but I cannot figure out what it is.  I
tried a bunch of 3.5 komi games and white won all 12 of them.

So I tried 2.5 and white won the first game.

So I tried 0.5 komi and white won 2 games!  

The only thing I know to check is to see if I am sending the proper komi
to the programs.The only other possible glitch is that the version
of leela I am using is ignoring the komi I send - but I don't think this
is the case.   I can test that on a bigger board.

Here are the two 0.5 komi games:

(;GM[1]FF[4]CA[UTF-8]
RU[Chinese]SZ[6]KM[0.5]
PW[LeeA]PB[LeeB]DT[2008-09-25]PC[Autotest]RE[W+Resign]GN[1]
;B[cd]
;W[dc]
;B[dd]
;W[cc]
;B[db]
;W[ed]
;B[bc]
;W[cb]
;B[eb]
;W[ec]
;B[bb]
;W[ce]
;B[ee]
;W[de]
;B[bd]
;W[fe]
;B[ef]
;W[df]
)

(;GM[1]FF[4]CA[UTF-8]
RU[Chinese]SZ[6]KM[0.5]
PW[LeeB]PB[LeeA]DT[2008-09-25]PC[Autotest]RE[W+Resign]GN[2]
;B[dd]
;W[cc]
;B[cd]
;W[dc]
;B[ec]
;W[eb]
;B[ca]
;W[ed]
;B[ee]
;W[bd]
;B[fc]
;W[bb]
;B[be]
;W[ae]
)



- Don







> 
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Re: [computer-go] Analysis of 6x6 Go

2008-09-24 Thread Don Dailey
On Wed, 2008-09-24 at 19:48 +0200, Erik van der Werf wrote:
> On Wed, Sep 24, 2008 at 6:30 PM, Don Dailey <[EMAIL PROTECTED]> wrote:
> > I don't know if even size boards are special, but it seems to me that
> > such small boards should have very high komi's.   4.0 seems pretty low
> > but then I'm really no expert on komi's and I'm a pretty weak player so
> > I'm not in any position to really say.
> 
> The center is the best opening move for all small odd size boards.
> Small even size boards have a lower komi because there is no center
> point.
> 
> I'm quite confident that 4.0 is the correct komi for 6x6.

I'm sure you know more about this than I do.

- Don


> 
> Erik
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Re: [computer-go] Analysis of 6x6 Go

2008-09-24 Thread Don Dailey
On Wed, 2008-09-24 at 09:42 -0700, terry mcintyre wrote:
> To satisfy my standards of proof, games would have to be post-analyzed to 
> determine whether either side could have made better moves. Duplicate games 
> would be thrown out; games with inferior play would be tossed. We might not 
> have the resources to completely solve the game, but we could improve the 
> quality of the estimate. At this date, computer-vs-computer matches still 
> tend to have gross errors in the evaluation of seki, nakade, etc. Programs 
> think they are ahead when the real result is the opposite.

Yes,  as I mentioned this is not a proof.  Neither is post-analysis, but
it would at least add some confidence.  

There is always the possibility that some nakade glitch or something
makes it return the wrong results.   

Also, the possibility that some difficult to find key move masks the
true result.  

It's also possible that a strong go program is more likely to return a
false result due to having more idiosyncrasies.   

On 5x5 and 7x7 it DID return what is believed by humans to be the
correct komi,  but that doesn't mean it will at any other board size.

I like the idea of playing thousands of games and building a tree for
later inspection.   If anything looks really wrong,  it can be further
analyzed.  

- Don

 


>  Terry McIntyre <[EMAIL PROTECTED]>
> 
> 
> "Go is very hard. The more I learn about it, the less I know." -Jie Li, 9 dan
> 
> 
>   
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Re: [computer-go] Analysis of 6x6 Go

2008-09-24 Thread Erik van der Werf
On Wed, Sep 24, 2008 at 6:30 PM, Don Dailey <[EMAIL PROTECTED]> wrote:
> I don't know if even size boards are special, but it seems to me that
> such small boards should have very high komi's.   4.0 seems pretty low
> but then I'm really no expert on komi's and I'm a pretty weak player so
> I'm not in any position to really say.

The center is the best opening move for all small odd size boards.
Small even size boards have a lower komi because there is no center
point.

I'm quite confident that 4.0 is the correct komi for 6x6.

Erik
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Re: [computer-go] Analysis of 6x6 Go

2008-09-24 Thread terry mcintyre
To satisfy my standards of proof, games would have to be post-analyzed to 
determine whether either side could have made better moves. Duplicate games 
would be thrown out; games with inferior play would be tossed. We might not 
have the resources to completely solve the game, but we could improve the 
quality of the estimate. At this date, computer-vs-computer matches still tend 
to have gross errors in the evaluation of seki, nakade, etc. Programs think 
they are ahead when the real result is the opposite.

 Terry McIntyre <[EMAIL PROTECTED]>


"Go is very hard. The more I learn about it, the less I know." -Jie Li, 9 dan


  
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Re: [computer-go] Analysis of 6x6 Go

2008-09-24 Thread Don Dailey
On Wed, 2008-09-24 at 15:17 +0200, "Ingo Althöfer" wrote:
> Don Dailey wrote:
> > I think a better way to do this is to self-play a few hundred games with
> > various komi values.   
> 
> Do you mean HUMAN self-play or COMPUTER self-/auto-play?
> 
> When you mean human self-play, I am not sure that
> this is a safer way for such small boards.

I am talking about computer self-play on small boards - I think it gives
a very reliable way to determine komi (on small boards.)   It's of
course not a proof, just as your method is not a proof.

Somewhere in the archives I posted data based on a lot of games at 7x7
using 9.5 and 8.5 komi.   I used Lazarus,  not a particularly strong
program, but not a weak program either (about 2200 ELO on CGOS.)  

I don't have the numbers in front of me, but it was ridiculously
one-sided.  I did not have to set Lazarus to a very high level in order
to get almost 100% win results with white using 9.5 komi.

When I went to 8.5 komi,  Black wins almost every single game.  My
empirical conclusion is that the correct komi is probably 9.0 for the
7x7 board size.

This method I propose doesn't give a proof.  However, you can improve
your confidence like this:

Play (let's say) 1000 games for each komi we are testing, then do a
statistical analysis of the results.   If for instance it looks like
black wins 98% of the games with some komi,  we could take a look at the
2% he lost and try to determine if black just made a stupid move,  or
white happened to find a very difficult move which actually leads to a
win regardless of black does.If there is some evidence that white
found a very difficult move which changes things,  we could do a further
analysis based on the same methodology, but from this new starting
position.

I would like to do this test but Lazarus doesn't support even size
boards (although I might be able to fix this without a lot of trouble)
and I don't have a copy of Leela although I might convince Gian Carlo to
send me a copy.I'm not sure what mogo supports.  



> > The correct komi will be clear from those games.
> > This worked on 7x7 
> 
> Are such 7x7-games documented somewhere, for
> instance in the internet?

Yes, I posted my results some time ago.  This may go back a couple of
years or more.   I will look for it.


> > so I assume it would work on 6x6.   Of course this
> > cannot be considered a "proof."
> 
> Right. 
> What I did is a computer-aided (incomplete) analysis:
> running repeated Monte-Carlo searches where the komis
> for both sides differ by 1.

I don't know if even size boards are special, but it seems to me that
such small boards should have very high komi's.   4.0 seems pretty low
but then I'm really no expert on komi's and I'm a pretty weak player so
I'm not in any position to really say.

- Don




> 
> Ingo.


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[computer-go] Analysis of 6x6 Go

2008-09-24 Thread Ingo Althöfer
Don Dailey wrote:
> I think a better way to do this is to self-play a few hundred games with
> various komi values.   

Do you mean HUMAN self-play or COMPUTER self-/auto-play?

When you mean human self-play, I am not sure that
this is a safer way for such small boards.

> The correct komi will be clear from those games.
> This worked on 7x7 

Are such 7x7-games documented somewhere, for
instance in the internet?

> so I assume it would work on 6x6.   Of course this
> cannot be considered a "proof."

Right. 
What I did is a computer-aided (incomplete) analysis:
running repeated Monte-Carlo searches where the komis
for both sides differ by 1.

Ingo.
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Re: [computer-go] Analysis of 6x6 Go

2008-09-24 Thread Don Dailey
I think a better way to do this is to self-play a few hundred games with
various komi values.   The correct komi will be clear from those games.
This worked on 7x7 so I assume it would work on 6x6.   Of course this
cannot be considered a "proof."

- Don



On Wed, 2008-09-24 at 09:53 +0200, "Ingo Althöfer" wrote:
> Erik van der Werf wrote:
> > ...
> > Optimal play on 6x6 under Chinese rules is expected 
> > to give a Black win by 4 points.
> 
> I want to lay open, why my expectation for
> 6x6-Go under Chinese rules is +2 for Black.
> 
> With Leela, I played two games (or game fragments)
> in analysis mode, starting the machine from fresh
> in each situation, and stopping analysis after
> 500,000 nodes.
> 
> Game 1: 
> Whenever it was Black's turn, komi was set to 3.5 .
> Whenever it was White's turn, komi was set to 4.5 .
> The numbers in brackets are the win percentages, as
> shown by Leela after 500,000 nodes.
> 1.c3 (39.9)  2.d4 (73.7)
> 3.c4 (46.0)  4.d3 (77.0)
> 5.d5 (55.3)  6.e5 (85.6)
> 7.d2 (42.0)  8.e2 (91.8)
> 9.e4 (24.5) 10.e3 (96.1)
> 11.e6(17.6)
> Resigned on behalf of Black.
> 
> Game 2: 
> Whenever it was Black's turn, komi was set to 1.5 .
> Whenever it was White's turn, komi was set to 2.5 .
> The numbers in brackets are the win percentages, as
> shown by Leela after 500,000 nodes.
>  1.c3 (71.5)  2.d4 (55.5)
>  3.d3 (75.4)  4.c4 (60.2)
>  5.b3 (64.1)  6.e3 (74.5)
>  7.e2 (59.2)  8.e4 (68.2)
>  9.b5 (58.9) 10.b4 (73.3)
> 11.a4 (53.3) 12.a5 (73.6)
> 13.a3 (65.2) 14.c5 (72.6)
> 15.a6 (77.1) 16.f2 (81.6)
> 17.e1 (81.7) 18.c6 (76.6)
> 19.a5 (81.4) 20.e5 (94.3)
> 21.c1 (98.6)
> So, both sides are optimistic to reach their respecitve goals.
> 
> Conclusion: From the viewpoint of Leela (at 500,000 nodes),
> komi=2.0 is in the "habitable zone" for the
> the starting position of 6x6-Go, whereas komi=4.0 is not.
> 
> When instead fair komi would be 4, each of the games above
> should contain errors.
> 
> Ingo.


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[computer-go] Analysis of 6x6 Go

2008-09-24 Thread Ingo Althöfer

Erik van der Werf wrote:
> ...
> Optimal play on 6x6 under Chinese rules is expected 
> to give a Black win by 4 points.

I want to lay open, why my expectation for
6x6-Go under Chinese rules is +2 for Black.

With Leela, I played two games (or game fragments)
in analysis mode, starting the machine from fresh
in each situation, and stopping analysis after
500,000 nodes.

Game 1: 
Whenever it was Black's turn, komi was set to 3.5 .
Whenever it was White's turn, komi was set to 4.5 .
The numbers in brackets are the win percentages, as
shown by Leela after 500,000 nodes.
1.c3 (39.9)  2.d4 (73.7)
3.c4 (46.0)  4.d3 (77.0)
5.d5 (55.3)  6.e5 (85.6)
7.d2 (42.0)  8.e2 (91.8)
9.e4 (24.5) 10.e3 (96.1)
11.e6(17.6)
Resigned on behalf of Black.

Game 2: 
Whenever it was Black's turn, komi was set to 1.5 .
Whenever it was White's turn, komi was set to 2.5 .
The numbers in brackets are the win percentages, as
shown by Leela after 500,000 nodes.
 1.c3 (71.5)  2.d4 (55.5)
 3.d3 (75.4)  4.c4 (60.2)
 5.b3 (64.1)  6.e3 (74.5)
 7.e2 (59.2)  8.e4 (68.2)
 9.b5 (58.9) 10.b4 (73.3)
11.a4 (53.3) 12.a5 (73.6)
13.a3 (65.2) 14.c5 (72.6)
15.a6 (77.1) 16.f2 (81.6)
17.e1 (81.7) 18.c6 (76.6)
19.a5 (81.4) 20.e5 (94.3)
21.c1 (98.6)
So, both sides are optimistic to reach their respecitve goals.

Conclusion: From the viewpoint of Leela (at 500,000 nodes),
komi=2.0 is in the "habitable zone" for the
the starting position of 6x6-Go, whereas komi=4.0 is not.

When instead fair komi would be 4, each of the games above
should contain errors.

Ingo.
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Re: [computer-go] Analysis of 6x6 Go

2008-09-22 Thread Erik van der Werf
On Mon, Sep 22, 2008 at 7:14 PM, "Ingo Althöfer" <[EMAIL PROTECTED]>
wrote:
>>> Does someone here know of other (documented) attempts
>>> to solve 6x6 Go?
>>
>> Didn't Erik van der Werf do it under his rules?
>
> He did it for 5x5-Go, see at
> http://erikvanderwerf.tengen.nl/5x5/5x5solved.html
>

Several 6x6 positions were solved, but not the empty board. E.g., for the
following position we could prove a Black win by at least 2 points (which
took about 13 days in 2002).

. . . . . .
. . . # O .
. . # O . .
. . # O . .
. . . # O .
. . . . . .


Optimal play on 6x6 under Chinese rules is expected to give a Black win by 4
points.

Erik
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[computer-go] Analysis of 6x6 Go

2008-09-22 Thread Ingo Althöfer
Hello Robert,

thx for the feedback.


>> Does someone here know of other (documented) attempts 
>> to solve 6x6 Go?
>
> Didn't Erik van der Werf do it under his rules?

He did it for 5x5-Go, see at
http://erikvanderwerf.tengen.nl/5x5/5x5solved.html

Ingo.
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Re: [computer-go] Analysis of 6x6 Go

2008-09-22 Thread Robert Jasiek

Ingo Althöfer wrote:

Stefan Reisz is the author of the website
http://www.reisz.de/gohome.htm

There he claims to have a solution for 6x6-Go
with Japanese rules.


This is not a "solution" in a mathematical sense because
- it is not specified which Japanese rules are used
- during the scoring, the rules are applied without showing exactly that
- during the scoring, the number of studied hypothetical-sequences is 
zero instead of huge or infinite
- in every move-sequence, the game is not ended by successive passes 
properly
- MANY other possible moves are missing (and my manual study of some 
simplistic (but arcane) positions under some particular Japanese 
rulesets has convinced me that there are more unexpected but correct 
plays or passes than one fears)


Too often the word solution is abused. "preliminary study" is more 
appropriate.


The largest board for that I could solve Go under Japanese 2003 Rules 
manually was 1x1. Already 1x2 was too tough: While it is still possible 
to denote all hypothetical-sequences, listing all 
hypothetical-strategies is clearly no fun. Possible if one spends 
several days or weeks. But if somebody or a program claims to have 
solved under some Japanese ruleset, I am more than sceptical and want to 
see mathematical proofs. Although I have done preliminary studies of how 
to formulate and prove useful propositions, this is work for months. It 
doesn't matter whether proving scoring propositions is done manually or 
by algorithm. Only those board sizes that allow killing all are simpler 
because all you have to do is to prove just that. There are exceptional 
tiny board sizes that allow other types of elegant proofs, but they 
won't help much for bigger boards.


Solving(!) Go under whichever Japanese ruleset is for the rules experts 
rather than for computer go.


Does someone here know of other (documented) attempts 
to solve 6x6 Go?


Didn't Erik van der Werf do it under his rules?

--
robert jasiek
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[computer-go] Analysis of 6x6 Go

2008-09-22 Thread Ingo Althöfer
Stefan Reisz is the author of the website
http://www.reisz.de/gohome.htm

There he claims to have a solution for 6x6-Go
with Japanese rules. The outcome of his handmade 
analysis is that komi=3 would be fair.
The analysis may be downloaded from the site, 
as sgf file.

Does someone here know of other (documented) attempts 
to solve 6x6 Go?

Ingo Althofer.

PS: After some hours of interactive analysis with Leela my impression
is that in case of Chinese rules the value of 6x6-Go might be +2.
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