[computer-go] Big board

[David Doshay]

On 21, Feb 2007, at 4:41 PM, Chris Fant wrote:

>> Can you please replace each 3x3 block of pixels with a single
>> pixel? My mind can't do the transformation visually. I really do
>> want each lattice to be smaller than the previous, but at the
>> same pixel scale.
>>
>> What I am looking for is how much the renormalized lattice looks
>> like a piece of the original lattice. How the changes progress can
>> give me a guess at how far the system is from the equivalent of
>> the transition temp.
>
> The images are up:
>
> http://fantius.com/0.bmp
> http://fantius.com/1.bmp
> http://fantius.com/2.bmp
> http://fantius.com/3.bmp
> http://fantius.com/4.bmp
>
> The renormalized lattice does not look like the original lattice.  The
> features get smaller with each renormalization.  I think you can
> expect this result based on the chart of numbers I gave yesterday.
> Since the average chain size does not grow as board size grows, we are
> not at the right temperature.  Correct?

It is pretty clear to me that, if the analogy to MC simulations in  
magnets
is of any value, the temperature of the Go game you show is hotter than
optimal.

If the temperature were at the transition temperature, then each of the
renormalized lattices would look just like a piece that size cut from  
the
original. Because the details all get smaller, the original lattice  
is on the
random, or hotter, side of the transition.

Thank you very much for this work. I am mulling this over ... how to
cool the Go simulation slightly from the pure MC that you did.

It would be great to see a similar very large board simulation from  
MoGo.
I am wondering if the combination of UCT and patterns (and obviously
the better play) shows better scaling across the renormalizations.

FUN!

Cheers,
David