[computer-go] Correct Komi for 6x6 is 2.0

2008-10-01 Thread Ingo Althöfer
Magnus Persson wrote:
 Ingo Althofer wrote:
 But ... when White instead of passing continues wC2,
 the game should go on with
 bB2 wF1 bPass wF2, and now the score is B+2.

 Black ignores w C2 and plays F1. 

F1 by Black would be a huge blunder, because
then White plays B1 and kills the black group
in the lower right corner.
So, Black has to react on the quasi-Ko-thread c2,
giving White time to occupy F1.

Ingo.
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Re: [computer-go] Correct Komi for 6x6 is 2.0

2008-10-01 Thread Magnus Persson
I fear we are not talking about the same game. In case I made a  
mistake in my email you get the sgf here:


(;FF[4]CA[UTF-8]AP[GoGui:1.1]SZ[6]
KM[2.5]DT[2008-09-30]RE[B+Resign]
;B[cc];W[dd];B[cd];W[dc];B[db];W[eb];B[de];W[ee];B[ed];W[ec]
;B[ef];W[fd];B[ce];W[cb];B[bb];W[da];B[ba];W[ff];B[fe];W[ca]
;B[bc];W[ff];B[ea];W[fa];B[fe];W[ed];B[df];W[ff];B[fb];W[fc]
;B[fe];W[];B[ff])

There is only one black group and it cannot be killed because there  
are no cutting poits and the eyspace is too large.


-Magnus

Quoting Ingo Althöfer [EMAIL PROTECTED]:


F1 by Black would be a huge blunder, because
then White plays B1 and kills the black group
in the lower right corner.
So, Black has to react on the quasi-Ko-thread c2,
giving White time to occupy F1.


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[computer-go] Correct Komi for 6x6 is 2.0

2008-10-01 Thread Ingo Althöfer
Hello Magnus,

there was indeed a notation error in your original posting.
There you give 13.C1 (see last line below)  and not 13.C2
as in the sgf.

Ingo.

 I have been trying to see what Valkyria does. But it is a little  
 unstable when it reads deep at 6x6. It should not be a problem for  
 Valkyria but I have not had any time to search for the bug.

 Anyway the 2.5 komi black should lose if Don is right. So I have the  
 following very cute complete game sequence:

 bC4 wD3 bC3 wD4 bD5 wE5 bD2 wE2 ...

 The beginning is very natural, and although I did not check carefully  
 all what Don reported but I think there is agreement that this is a  
 strong seqence for both colors.

 ... bE3 wE4 bE1 wF3!!!...

 Normally wF2 is played in the corner. But with wF3 white has the  
 option to play aggresively with wF1 which usually is a bad idea  
 because the ko fight risk to much. But on a small board things are not  
 normal...

 ... bC1 wC5 bB5 wD6 bB6 wF1!...


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Re: [computer-go] Correct Komi for 6x6 is 2.0

2008-10-01 Thread Magnus Persson

Great! Mystery solved.

Magnus

Quoting Ingo Althöfer [EMAIL PROTECTED]:


Hello Magnus,

there was indeed a notation error in your original posting.
There you give 13.C1 (see last line below)  and not 13.C2
as in the sgf.

Ingo.


I have been trying to see what Valkyria does. But it is a little
unstable when it reads deep at 6x6. It should not be a problem for
Valkyria but I have not had any time to search for the bug.

Anyway the 2.5 komi black should lose if Don is right. So I have the
following very cute complete game sequence:

bC4 wD3 bC3 wD4 bD5 wE5 bD2 wE2 ...

The beginning is very natural, and although I did not check carefully
all what Don reported but I think there is agreement that this is a
strong seqence for both colors.

... bE3 wE4 bE1 wF3!!!...

Normally wF2 is played in the corner. But with wF3 white has the
option to play aggresively with wF1 which usually is a bad idea
because the ko fight risk to much. But on a small board things are not
normal...

... bC1 wC5 bB5 wD6 bB6 wF1!...



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Re: [computer-go] Correct Komi for 6x6 is 2.0

2008-10-01 Thread ndkrempel
See comments below...

 ... bE3 wE4 bE1 wF3!!!...

 Normally wF2 is played in the corner. But with wF3 white has the
 option to play aggresively with wF1 which usually is a bad idea
 because the ko fight risk to much. But on a small board things are not
 normal...

Can I ask which ruleset this is played with?

For example, in Japanese or similar rulesets where dame are not worth
anything, white cannot gain any benefit by starting the F1 ko. So I will
assume it's some sort of area counting until told otherwise...


 ... bC1 wC5 bB5 wD6 bB6 wF1!...

 white starts a ko. If white first plays wC6 bF1 wins the game right away.

To clarify, that would be B+1.5 (with your 2.5 komi) right?

This wF1 can be a skillful play to try to steal the last dame, but doesn't
your sequence below show it to be a failure (B+3.5)? I agree that bB4
(filling in your own territory) is optimal - nice move :)

After looking at the various games posted here and a number of variations
of my own, I'm inclined to think the correct komi is 4 (for area
counting.)
Here is an interesting variation that noone has mentioned, maybe someone
can find a flaw:

bC3 wD4 bC4 wD3 bC2
wC5 bB5 wD5 bE2 wD2 bD1
wB6 bE3 wB4 bB3 wA5
bE4 wE5 bF5 wA3 bA2 wA4
bF4 wE6 bF6
(B+4)

I'd be interested to see variations that claim to prove correct komi is
2... The sequences Don gave earlier are the standard B+4 ones as far as
they go (esp. now that you've ruled out this clever endgame ko for white.)



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Re: [computer-go] Correct Komi for 6x6 is 2.0

2008-10-01 Thread Michael Williams

Does anyone have any komi data for 4x5 or 5x6?  I'm trying to reproduce these 
numbers using my own engine and 6x6 is still a bit large.

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Re: [computer-go] Correct Komi for 6x6 is 2.0

2008-10-01 Thread Don Dailey
Yes, and that harmonizes with my line too.

- Don


On Wed, 2008-10-01 at 09:31 +0200, Magnus Persson wrote:
 Great! Mystery solved.
 
 Magnus
 
 Quoting Ingo Althöfer [EMAIL PROTECTED]:
 
  Hello Magnus,
 
  there was indeed a notation error in your original posting.
  There you give 13.C1 (see last line below)  and not 13.C2
  as in the sgf.
 
  Ingo.
 
  I have been trying to see what Valkyria does. But it is a little
  unstable when it reads deep at 6x6. It should not be a problem for
  Valkyria but I have not had any time to search for the bug.
 
  Anyway the 2.5 komi black should lose if Don is right. So I have the
  following very cute complete game sequence:
 
  bC4 wD3 bC3 wD4 bD5 wE5 bD2 wE2 ...
 
  The beginning is very natural, and although I did not check carefully
  all what Don reported but I think there is agreement that this is a
  strong seqence for both colors.
 
  ... bE3 wE4 bE1 wF3!!!...
 
  Normally wF2 is played in the corner. But with wF3 white has the
  option to play aggresively with wF1 which usually is a bad idea
  because the ko fight risk to much. But on a small board things are not
  normal...
 
  ... bC1 wC5 bB5 wD6 bB6 wF1!...
 
 
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Re: [computer-go] Correct Komi for 6x6 is 2.0

2008-10-01 Thread Magnus Persson

Quoting [EMAIL PROTECTED]:


See comments below...


... bE3 wE4 bE1 wF3!!!...

Normally wF2 is played in the corner. But with wF3 white has the
option to play aggresively with wF1 which usually is a bad idea
because the ko fight risk to much. But on a small board things are not
normal...


Can I ask which ruleset this is played with?


All the computer go engines here based on MCTS methods assumes area  
scoring rules. So unless stated otherwise you can see area scoring as  
default.



For example, in Japanese or similar rulesets where dame are not worth
anything, white cannot gain any benefit by starting the F1 ko. So I will
assume it's some sort of area counting until told otherwise...


Maybe F1 simply speaking is a trick move. Right now (on a new computer  
in office) I have to visualize the game in my head... so take any  
answers to your question with a grain of salt.




... bC1 wC5 bB5 wD6 bB6 wF1!...

white starts a ko. If white first plays wC6 bF1 wins the game right away.


To clarify, that would be B+1.5 (with your 2.5 komi) right?

This wF1 can be a skillful play to try to steal the last dame, but doesn't
your sequence below show it to be a failure (B+3.5)? I agree that bB4
(filling in your own territory) is optimal - nice move :)


Initially Valkyria (my program) and myself thought starting the ko was  
correct. But cutting as a first ko threat also creates a lot of  
kothreats. So of course it is a failure, but I am sure you could beat  
strong opponents with it. It is a good trick to try. But technically  
all moves for white are losing moves anyways since the komi is only  
2.5. In other words it is a difficult move for both humans and at  
least one computer program.



After looking at the various games posted here and a number of variations
of my own, I'm inclined to think the correct komi is 4 (for area
counting.)
Here is an interesting variation that noone has mentioned, maybe someone
can find a flaw:

bC3 wD4 bC4 wD3 bC2
wC5 bB5 wD5 bE2 wD2 bD1
wB6 bE3 wB4 bB3 wA5
bE4 wE5 bF5 wA3 bA2 wA4
bF4 wE6 bF6
(B+4)


I played it out with paper and pencil and it looks reasonable to me.  
But I need to check it later with Valkyria and Gogui.


-Magnus
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Re: [computer-go] Correct Komi for 6x6 is 2.0

2008-09-30 Thread Don Dailey
I would be very interested in various opinions on this.   Is the correct
komi for 6x6 (under CGOS type rules)  2.0? 

Especially would I like to see some strong players review my (actually
Leela's) analysis and weight in on this.

Do you think we can say with relatively high confidence that 2.0 is the
correct komi for 6x6 go?  

I may later crank up the level for Leela (for this study I left it at
the default which was game in 5 minutes) on a loaded core 2 duo machine
which typically had a load of 3-5 during the tests.  

- Don




On Mon, 2008-09-29 at 15:10 -0400, Don Dailey wrote:
 On Wed, 2008-09-24 at 19:48 +0200, Erik van der Werf wrote:
  I'm quite confident that 4.0 is the correct komi for 6x6.
 
 I am quite confident that it is 2.0 :-)
 
 I admit there is some room for error on my part, but I have just done a
 fairly significant study of 6x6 Go using Leela.   My primary room for
 doubt is if there is some kind of end of game issue (in programs like
 Leela) such as seki that causes a gross and systematic error.
 
 Here is why I think komi should be 2.0 and if you can prove me wrong,  I
 think we will probably both have learned something interesting - I hope
 you can.
 
 Here is my analysis:
 
 
 I did an analysis of 784 6x6 leela games.  These games were played at
 2.5 komi and white tends to win most of the games.  
 
 After converting all the game to a canonical representation, I
 discovered that Leela always plays the  first 4 moves the equivalent of
 this:
 
   C3 D4 C4 D3  - all 784 games started like this or the equivalent
 
 
 After this, BLACK varied significantly:
 
   BLACK WINS/GAMES PERCENTAGE
   - -
   C3 D4 C4 D3 C20 out of6 = 0.000 percent
   C3 D4 C4 D3 C51 out of4 =25.000 percent
   C3 D4 C4 D3 D2  103 out of  428 =24.065 percent
   C3 D4 C4 D3 D5   82 out of  339 =24.189 percent
   C3 D4 C4 D3 E30 out of4 = 0.000 percent
   C3 D4 C4 D3 E40 out of2 = 0.000 percent
   C3 D4 C4 D3 E50 out of1 = 0.000 percent
 
 For the rest of this discussion,  the Wins and Percentage are ALWAYS
 from BLACK'S point of view.
 
 In this sequence, the only statistically interesting moves are D2 and
 D5 for black, because these 2 choice constitute the vast majority of
 the games. (It might be slightly more interesting if other moves showed
 black doing well, but in the minor lines of play black is losing.)  The
 2 good moves appear to be approximately equal in value ... however,
 let's check that out.
 
 
 Let's consider D2 first.  If black plays D2 white plays either E2 or
 C5.  C5 appears to be a mistake.  When white plays C5 black wins 70%
 of the games.  However, Leela only played that move 20 times.  408
 times it played E2 doing quite well - holding black to about 22%
 
 
BLACK WINS/GAMES PERCENTAGE
- -
 C3 D4 C4 D3 D2 E2   89 out of  408 =21.814 percent
 C3 D4 C4 D3 D2 C5   14 out of   20 =70.000 percent
 
 
 Let us assume that C5 is a blunder and with correct play 
 black aways wins (all of this assume 2.5 komi.) 
 
 AT this point black plays 3 different moves, all of them
 losing:
 
 
 C3 D4 C4 D3 D2 E2 C20 out of7 = 0.000 percent
 C3 D4 C4 D3 D2 E2 E41 out of   42 = 2.381 percent
 C3 D4 C4 D3 D2 E2 D5   88 out of  359 =24.513 percent
 
 Again, the only interesting move here is D5 for black.
 
 White responds with E5 or C2.  C2 appears to be a blunder and Leela
 played it 15 times, losing every time as white.   However, E5 keeps
 black down to 21.221 percent:
  
   C3 D4 C4 D3 D2 E2 D5 E5   73 out of  344 =21.221 percent
   C3 D4 C4 D3 D2 E2 D5 C2   15 out of   15 =   100.000 percent
 
 
 At this point we seem to be well into the 6x6 game and none of blacks
 responses seem to be game winning.   
 
 Carrying this out 1 pair of moves farther (which I am not including
 here), I see more of the same - there is nothing that indicates 
 that black has a surprise game winning move that white cannot avoid.  
 
 
 Ok.  So let's go back to our other early black choice,  5. D5
 
   C3 D4 C4 D3 D5   82 out of  339 =24.189 percent
 
 Leela played 2 moves here,  again, one of them may be a blunder because
 it allows black to win 81% of the games:
 
  C3 D4 C4 D3 D5 C2   13 out of   16 =81.250 percent
  C3 D4 C4 D3 D5 E5   69 out of  323 =21.362 percent
 
 So let's see if E5 is interesting.   If it is, we might be able to
 furnish empirical proof that black can win a 2.5 komi:
 
C3 D4 C4 D3 D5 E5 D2   69 out of  284 =24.296 percent
C3 D4 C4 D3 D5 E5 F50 out of1 = 0.000 percent
C3 D4 C4 D3 D5 E5 C50 out of4 = 0.000 percent
C3 D4 C4 D3 D5 E5 E30 out of   34 = 0.000 percent
 
 Apparently, only 1 black choice here is reasonable,  D2.
 
 After Black plays D2,  Leela probably loses after white 

Re: [computer-go] Correct Komi for 6x6 is 2.0

2008-09-30 Thread Magnus Persson
I have been trying to see what Valkyria does. But it is a little  
unstable when it reads deep at 6x6. It should not be a problem for  
Valkyria but I have not had any time to search for the bug.


Anyway the 2.5 komi black should lose if Don is right. So I have the  
following very cute complete game sequence:


bC4 wD3 bC3 wD4 bD5 wE5 bD2 wE2 ...

The beginning is very natural, and although I did not check carefully  
all what Don reported but I think there is agreement that this is a  
strong seqence for both colors.


... bE3 wE4 bE1 wF3!!!...

Normally wF2 is played in the corner. But with wF3 white has the  
option to play aggresively with wF1 which usually is a bad idea  
because the ko fight risk to much. But on a small board things are not  
normal...


... bC1 wC5 bB5 wD6 bB6 wF1!...

white starts a ko. If white first plays wC6 bF1 wins the game right away.

...bF2 wC6 bB4!

if I understand this move it is a truly cool move. If black plays the  
larg ko at E3 as most people would instinctively do including myself  
white cuts at B4 and get a lot of kothreats and wins the game. With  
bB4 white has no ko threats.


...wF1 bE6 wF6 bF2 wE3 bD1 wF1 bF5 wF4 bF2 wPass bF1 B+3.5

So komi should be larger unless there are a mistakes by white in this  
sequence.


Valkyria should have the credit for all strong moves here but they are  
not always found, so this analysis is also shaky. At short time  
controls I do not think any existing MC programs will get these things  
right.


Even if it is wrong I found some of the moves really fascinating. The  
search behavior of Valkyria jumps up and down between 25-75% all the  
time as these moves are found. If it had been more stable maybe I  
could just let it run for a long time and find out stuff more or less  
for sure. But I hope this sequence adds some understanding at least.


-Magnus


Quoting Don Dailey [EMAIL PROTECTED]:


I would be very interested in various opinions on this.   Is the correct
komi for 6x6 (under CGOS type rules)  2.0?

Especially would I like to see some strong players review my (actually
Leela's) analysis and weight in on this.

Do you think we can say with relatively high confidence that 2.0 is the
correct komi for 6x6 go?


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Re: [computer-go] Correct Komi for 6x6 is 2.0

2008-09-30 Thread Don Dailey
Magnus,

It seems I didn't go deep enough into the game.  I assumed that after
quite a few moves we could reach some tentative conclusion that was
likely to be correct, but it looks like there is a good chance it is not
correct!

What I should have done was to take the time to mini-max the statistics.
What I'm doing is more tedious than just writing a program to do it for
me.  

I found another line of play too.   See my responses to your stuff
below:

On Tue, 2008-09-30 at 22:09 +0200, Magnus Persson wrote:
 I have been trying to see what Valkyria does. But it is a little  
 unstable when it reads deep at 6x6. It should not be a problem for  
 Valkyria but I have not had any time to search for the bug.
 
 Anyway the 2.5 komi black should lose if Don is right. So I have the  
 following very cute complete game sequence:
 
 bC4 wD3 bC3 wD4 bD5 wE5 bD2 wE2 ...
 
 The beginning is very natural, and although I did not check carefully  
 all what Don reported but I think there is agreement that this is a  
 strong seqence for both colors.
 
 ... bE3 wE4 bE1 wF3!!!...

In my data from Leela,  F3 is looked at 100 times here and Leela
considers it the best move too:

b  w  b  w  b  w  b  w  b  w  b  w
C3 D4 C4 D3 D5 E5 D2 E2 E3 E4 E1 F3   24 out of  110 =21.818 percent
C3 D4 C4 D3 D5 E5 D2 E2 E3 E4 E1 C56 out of   18 =33.333 percent


 
 Normally wF2 is played in the corner. But with wF3 white has the  
 option to play aggresively with wF1 which usually is a bad idea  
 because the ko fight risk to much. But on a small board things are not  
 normal...
 
 ... bC1 wC5 bB5 wD6 bB6 wF1!...

It's interesting that Leela considers C1 a losing move!  However, C2
actually wins more than half the time in the games.  (Just because Leela
doesn't like bC1 doesn't mean it isn't correct however.)

I have further analysis that shows that C2 works:

  b  w  b  w  b  w  b  w  b  w  b  w
After C3 D4 C4 D3 D5 E5 D2 E2 E3 E4 E1 F3 

C10 out of   10 = 0.000 percent
F20 out of5 = 0.000 percent
B20 out of   18 = 0.000 percent
C2   24 out of   44 =54.545 percent
D10 out of   33 = 0.000 percent


I had to follow this analysis pretty deep as the next several moves
appear forced from Leela point of view.   There were a few games thrown
away where black played something stupid, so I'm not including them.   I
eventually get this which I will call Leela's principal variation:

  b  w  b  w  b  w  b  w  b  w  b  w
After C3 D4 C4 D3 D5 E5 D2 E2 E3 E4 E1 F3 

b  w  b  w  b  w  b  w
C2 C5 B5 D6 B6 F1 F2 C6   24/35 = 68.571 percent


I don't know about your line, but it appears that maybe black DOES win
with this line (and perhaps your line too) unless we can find a white
improvement.   

So it may very well be that we should test 3.5 komi!   It appears that
black had the choices - so unless we can find a white improvement I am
inclined to believe that 3.5 komi is closer to the truth.  

The lesson here seems to be that even 6x6 is deep for very strong
computer programs.   Even in 6x6 after getting out 20 moves Leela is not
sure this is a win for black.  (I'm not sure either,  I am just assuming
that 24/35 = 68.571 percent represents a win for black.)

- Don




 
 white starts a ko. If white first plays wC6 bF1 wins the game right away.
 
 ...bF2 wC6 bB4!
 
 if I understand this move it is a truly cool move. If black plays the  
 larg ko at E3 as most people would instinctively do including myself  
 white cuts at B4 and get a lot of kothreats and wins the game. With  
 bB4 white has no ko threats.
 
 ...wF1 bE6 wF6 bF2 wE3 bD1 wF1 bF5 wF4 bF2 wPass bF1 B+3.5
 
 So komi should be larger unless there are a mistakes by white in this  
 sequence.
 
 Valkyria should have the credit for all strong moves here but they are  
 not always found, so this analysis is also shaky. At short time  
 controls I do not think any existing MC programs will get these things  
 right.
 
 Even if it is wrong I found some of the moves really fascinating. The  
 search behavior of Valkyria jumps up and down between 25-75% all the  
 time as these moves are found. If it had been more stable maybe I  
 could just let it run for a long time and find out stuff more or less  
 for sure. But I hope this sequence adds some understanding at least.
 
 -Magnus
 
 
 Quoting Don Dailey [EMAIL PROTECTED]:
 
  I would be very interested in various opinions on this.   Is the correct
  komi for 6x6 (under CGOS type rules)  2.0?
 
  Especially would I like to see some strong players review my (actually
  Leela's) analysis and weight in on this.
 
  Do you think we can say with relatively high confidence that 2.0 is the
  correct komi for 6x6 go?
 
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Re: [computer-go] Correct Komi for 6x6 is 2.0

2008-09-30 Thread Don Dailey
On Tue, 2008-09-30 at 16:58 -0400, Don Dailey wrote:
 In my data from Leela,  F3 is looked at 100 times here and Leela
 considers it the best move too:
 
 b  w  b  w  b  w  b  w  b  w  b  w
 C3 D4 C4 D3 D5 E5 D2 E2 E3 E4 E1 F3   24 out of  110 =21.818
 percent
 C3 D4 C4 D3 D5 E5 D2 E2 E3 E4 E1 C56 out of   18 =33.333
 percent


Of course I didn't mention this,  but wC5 should be checked out too
since it is a white move and Leela still sees it as a win. 

- Don



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[computer-go] Correct Komi for 6x6 is 2.0

2008-09-30 Thread Ingo Althöfer
Hello Magnus,

interesting and strange.
I went through your constructed game (it is repeated here
without the in-between text)

 bC4 wD3 bC3 wD4 bD5 wE5 bD2 wE2 ...
 ... bE3 wE4 bE1 wF3!!!...
 ... bC1 wC5 bB5 wD6 bB6 wF1!...
 ...bF2 wC6 bB4!
 ...wF1 bE6 wF6 bF2 wE3 bD1 wF1 bF5 wF4 
 bF2 wPass bF1 B+3.5

Here I do not understand your counting:
Black has control over 21 sqaures, White over 15.
So, the final score of your game would be B+6.

But ... when White instead of passing continues wC2,
the game should go on with
bB2 wF1 bPass wF2, and now the score is B+2.

Or did I miss something?

By the way, in my experimental runs with Leela it was
really strange to see the evaluation switching between
rather extremes - on this little board.

Ingo.



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Re: [computer-go] Correct Komi for 6x6 is 2.0

2008-09-30 Thread Magnus Persson

Quoting Ingo Althöfer [EMAIL PROTECTED]:


Hello Magnus,

interesting and strange.
I went through your constructed game (it is repeated here
without the in-between text)


bC4 wD3 bC3 wD4 bD5 wE5 bD2 wE2 ...
... bE3 wE4 bE1 wF3!!!...
... bC1 wC5 bB5 wD6 bB6 wF1!...
...bF2 wC6 bB4!
...wF1 bE6 wF6 bF2 wE3 bD1 wF1 bF5 wF4
bF2 wPass bF1 B+3.5


Here I do not understand your counting:
Black has control over 21 sqaures, White over 15.
So, the final score of your game would be B+6.


I am assuming a komi of 2.5 that is 6-2.5=3.5.


But ... when White instead of passing continues wC2,
the game should go on with
bB2 wF1 bPass wF2, and now the score is B+2.


Black ignores w C2 and plays F1. I added the pass only because it  
gives us the shortest game with the correct score for this variation.




Or did I miss something?

By the way, in my experimental runs with Leela it was
really strange to see the evaluation switching between
rather extremes - on this little board.


I think it is completely normal and expected. MCTS is so strong on  
small boards that most of the time it searches variations with a  
certain outcome. But when the search discovers overlooked moves the  
score quickly change. Much more so than on larger boards.


-Magnus


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Re: [computer-go] Correct Komi for 6x6 is 2.0

2008-09-30 Thread Magnus Persson
I stubbornly always use x.5 komi because I do not like Jigo. in this  
case it was 2.5. I do that simply because Valkyria is coded like that,  
it cannot play with integer komi.


Quoting Christoph Birk [EMAIL PROTECTED]:


On Tue, 30 Sep 2008, Magnus Persson wrote:

...wF1 bE6 wF6 bF2 wE3 bD1 wF1 bF5 wF4 bF2 wPass bF1 B+3.5


I guess you mean B+4.
Couln't black win by just refusing to play the ko?
I could B+4 in that case too.

Christoph

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Re: [computer-go] Correct Komi for 6x6 is 2.0

2008-09-30 Thread Gian-Carlo Pascutto
Don Dailey wrote:

   4. I believe Leela, at a higher level and with a correction book
  would play perfect or very close to perfect on 6x6.  This may
  depend on seki issues however, it may not be possible for Leela
  (or other Go programs) to play perfectly without some minor
  adjustments to handle the weird corner cases.

It probably makes sense to force a bit more exploration for this kind of
analysis. I can make a version like that if you want.

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Re: [computer-go] Correct Komi for 6x6 is 2.0

2008-09-30 Thread Don Dailey
On Wed, 2008-10-01 at 05:55 +0200, Gian-Carlo Pascutto wrote:
 Don Dailey wrote:
 
4. I believe Leela, at a higher level and with a correction book
   would play perfect or very close to perfect on 6x6.  This may
   depend on seki issues however, it may not be possible for Leela
   (or other Go programs) to play perfectly without some minor
   adjustments to handle the weird corner cases.
 
 It probably makes sense to force a bit more exploration for this kind of
 analysis. I can make a version like that if you want.

Yes, I would like that.   I'll run it at a higher level too - and
mini-max the game results.

- Don



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[computer-go] Correct Komi for 6x6 is 2.0

2008-09-29 Thread Don Dailey

On Wed, 2008-09-24 at 19:48 +0200, Erik van der Werf wrote:
 I'm quite confident that 4.0 is the correct komi for 6x6.

I am quite confident that it is 2.0 :-)

I admit there is some room for error on my part, but I have just done a
fairly significant study of 6x6 Go using Leela.   My primary room for
doubt is if there is some kind of end of game issue (in programs like
Leela) such as seki that causes a gross and systematic error.

Here is why I think komi should be 2.0 and if you can prove me wrong,  I
think we will probably both have learned something interesting - I hope
you can.

Here is my analysis:


I did an analysis of 784 6x6 leela games.  These games were played at
2.5 komi and white tends to win most of the games.  

After converting all the game to a canonical representation, I
discovered that Leela always plays the  first 4 moves the equivalent of
this:

  C3 D4 C4 D3  - all 784 games started like this or the equivalent


After this, BLACK varied significantly:

  BLACK WINS/GAMES PERCENTAGE
  - -
  C3 D4 C4 D3 C20 out of6 = 0.000 percent
  C3 D4 C4 D3 C51 out of4 =25.000 percent
  C3 D4 C4 D3 D2  103 out of  428 =24.065 percent
  C3 D4 C4 D3 D5   82 out of  339 =24.189 percent
  C3 D4 C4 D3 E30 out of4 = 0.000 percent
  C3 D4 C4 D3 E40 out of2 = 0.000 percent
  C3 D4 C4 D3 E50 out of1 = 0.000 percent

For the rest of this discussion,  the Wins and Percentage are ALWAYS
from BLACK'S point of view.

In this sequence, the only statistically interesting moves are D2 and
D5 for black, because these 2 choice constitute the vast majority of
the games. (It might be slightly more interesting if other moves showed
black doing well, but in the minor lines of play black is losing.)  The
2 good moves appear to be approximately equal in value ... however,
let's check that out.


Let's consider D2 first.  If black plays D2 white plays either E2 or
C5.  C5 appears to be a mistake.  When white plays C5 black wins 70%
of the games.  However, Leela only played that move 20 times.  408
times it played E2 doing quite well - holding black to about 22%


   BLACK WINS/GAMES PERCENTAGE
   - -
C3 D4 C4 D3 D2 E2   89 out of  408 =21.814 percent
C3 D4 C4 D3 D2 C5   14 out of   20 =70.000 percent


Let us assume that C5 is a blunder and with correct play 
black aways wins (all of this assume 2.5 komi.) 

AT this point black plays 3 different moves, all of them
losing:


C3 D4 C4 D3 D2 E2 C20 out of7 = 0.000 percent
C3 D4 C4 D3 D2 E2 E41 out of   42 = 2.381 percent
C3 D4 C4 D3 D2 E2 D5   88 out of  359 =24.513 percent

Again, the only interesting move here is D5 for black.

White responds with E5 or C2.  C2 appears to be a blunder and Leela
played it 15 times, losing every time as white.   However, E5 keeps
black down to 21.221 percent:
 
  C3 D4 C4 D3 D2 E2 D5 E5   73 out of  344 =21.221 percent
  C3 D4 C4 D3 D2 E2 D5 C2   15 out of   15 =   100.000 percent


At this point we seem to be well into the 6x6 game and none of blacks
responses seem to be game winning.   

Carrying this out 1 pair of moves farther (which I am not including
here), I see more of the same - there is nothing that indicates 
that black has a surprise game winning move that white cannot avoid.  


Ok.  So let's go back to our other early black choice,  5. D5

  C3 D4 C4 D3 D5   82 out of  339 =24.189 percent

Leela played 2 moves here,  again, one of them may be a blunder because
it allows black to win 81% of the games:

 C3 D4 C4 D3 D5 C2   13 out of   16 =81.250 percent
 C3 D4 C4 D3 D5 E5   69 out of  323 =21.362 percent

So let's see if E5 is interesting.   If it is, we might be able to
furnish empirical proof that black can win a 2.5 komi:

   C3 D4 C4 D3 D5 E5 D2   69 out of  284 =24.296 percent
   C3 D4 C4 D3 D5 E5 F50 out of1 = 0.000 percent
   C3 D4 C4 D3 D5 E5 C50 out of4 = 0.000 percent
   C3 D4 C4 D3 D5 E5 E30 out of   34 = 0.000 percent

Apparently, only 1 black choice here is reasonable,  D2.

After Black plays D2,  Leela probably loses after white plays C5, so E2
is the move of choice for white here:

C3 D4 C4 D3 D5 E5 D2 E2   62 out of  276 =22.464 percent
C3 D4 C4 D3 D5 E5 D2 C57 out of8 =87.500 percent


The 3 lines Leela plays as black are:

  C3 D4 C4 D3 D5 E5 D2 E2 E3   30 out of  128 =23.438 percent
  C3 D4 C4 D3 D5 E5 D2 E2 E4   32 out of  143 =22.378 percent
  C3 D4 C4 D3 D5 E5 D2 E2 E10 out of5 = 0.000 percent

So now we have 2 lines to chase down, E3 and E4.

To make a long story shorter,  skipping ahead to all the variations
and ignoring E1 which loses in all 5 lines we get:


C3 D4 C4 D3 D5 E5 D2 E2 E3 E4 E1   30 out of  128 =23.438 percent
C3 D4 C4 D3 D5 E5 

Re: [computer-go] Correct Komi for 6x6 is 2.0

2008-09-29 Thread Matthew Woodcraft
Don Dailey wrote:
 After converting all the game to a canonical representation, I
 discovered that Leela always plays the  first 4 moves the equivalent of
 this:

   C3 D4 C4 D3  - all 784 games started like this or the equivalent


 After this, BLACK varied significantly:

   BLACK WINS/GAMES PERCENTAGE
   - -
   C3 D4 C4 D3 C20 out of6 = 0.000 percent
   C3 D4 C4 D3 C51 out of4 =25.000 percent
   C3 D4 C4 D3 D2  103 out of  428 =24.065 percent
   C3 D4 C4 D3 D5   82 out of  339 =24.189 percent
   C3 D4 C4 D3 E30 out of4 = 0.000 percent
   C3 D4 C4 D3 E40 out of2 = 0.000 percent
   C3 D4 C4 D3 E50 out of1 = 0.000 percent

 In this sequence, the only statistically interesting moves are D2 and
 D5 for black, because these 2 choice constitute the vast majority of
 the games. (It might be slightly more interesting if other moves showed
 black doing well, but in the minor lines of play black is losing.)  The
 2 good moves appear to be approximately equal in value ... however,
 let's check that out.

They ought to be equal in value, because they're equivalent moves under
reflection.

-M-
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Re: [computer-go] Correct Komi for 6x6 is 2.0

2008-09-29 Thread Don Dailey
You are right, I didn't notice that.

I am doing the 8 transformations of move SEQUENCES, which is not quite
the same as transforming and adjusting the positions themselves which
would be a more powerful way to do this.  

Doing sequences was easier with a quick and dirty script.  

Of course this should not change the conclusion.  

- Don




On Mon, 2008-09-29 at 21:46 +0100, Matthew Woodcraft wrote:
 Don Dailey wrote:
  After converting all the game to a canonical representation, I
  discovered that Leela always plays the  first 4 moves the equivalent of
  this:
 
C3 D4 C4 D3  - all 784 games started like this or the equivalent
 
 
  After this, BLACK varied significantly:
 
BLACK WINS/GAMES PERCENTAGE
- -
C3 D4 C4 D3 C20 out of6 = 0.000 percent
C3 D4 C4 D3 C51 out of4 =25.000 percent
C3 D4 C4 D3 D2  103 out of  428 =24.065 percent
C3 D4 C4 D3 D5   82 out of  339 =24.189 percent
C3 D4 C4 D3 E30 out of4 = 0.000 percent
C3 D4 C4 D3 E40 out of2 = 0.000 percent
C3 D4 C4 D3 E50 out of1 = 0.000 percent
 
  In this sequence, the only statistically interesting moves are D2 and
  D5 for black, because these 2 choice constitute the vast majority of
  the games. (It might be slightly more interesting if other moves showed
  black doing well, but in the minor lines of play black is losing.)  The
  2 good moves appear to be approximately equal in value ... however,
  let's check that out.
 
 They ought to be equal in value, because they're equivalent moves under
 reflection.
 
 -M-
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Re: [computer-go] Correct Komi for 6x6 is 2.0

2008-09-29 Thread Álvaro Begué
On Mon, Sep 29, 2008 at 5:11 PM, Don Dailey [EMAIL PROTECTED] wrote:
 You are right, I didn't notice that.

 I am doing the 8 transformations of move SEQUENCES, which is not quite
 the same as transforming and adjusting the positions themselves which
 would be a more powerful way to do this.

 Doing sequences was easier with a quick and dirty script.

 Of course this should not change the conclusion.

In practice, it shouldn't, but doing it on move sequences is safer.
Doing it from positions could in theory result in problems with the
application of the super-ko rule. It would certainly get you in
trouble if you were analyzing 2x2 go.

Álvaro.
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Re: [computer-go] Correct Komi for 6x6 is 2.0

2008-09-29 Thread Don Dailey
On Mon, 2008-09-29 at 17:14 -0400, Álvaro Begué wrote:
 On Mon, Sep 29, 2008 at 5:11 PM, Don Dailey [EMAIL PROTECTED] wrote:
  You are right, I didn't notice that.
 
  I am doing the 8 transformations of move SEQUENCES, which is not quite
  the same as transforming and adjusting the positions themselves which
  would be a more powerful way to do this.
 
  Doing sequences was easier with a quick and dirty script.
 
  Of course this should not change the conclusion.
 
 In practice, it shouldn't, but doing it on move sequences is safer.
 Doing it from positions could in theory result in problems with the
 application of the super-ko rule. It would certainly get you in
 trouble if you were analyzing 2x2 go.

An interesting hybrid approach that is also safe in the sense you are
talking about is to match positions but only if the canonical boards up
to this point matched.   In other words the canonical position must
match and also the canonical history.   This is almost, but not quite
the best of both worlds (it doesn't pick up transpositions.)
  
The hybrid approach would have at least picked up the position that
Matthew noticed.  

- Don




 
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