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Subject: Re: Chess programming: A statistical approach

Author: Uri Blass

Date: 23:28:32 04/05/04

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On April 05, 2004 at 17:09:29, Dieter Buerssner wrote:

>On April 05, 2004 at 10:51:06, Tim Foden wrote:
>
>>I've used multi-variate linear regression to generate a set of evaluation
>>values, but I have some bugs in the implementation (as pointed out by Dave
>>Gomboc when I spoke to him in Graz), and I haven't tested the values at all.  I
>>still plan to pursue this some more when I have the time and the inclination.
>
>How are you doing the fitting technically. As I understand it, the values are
>not linear independent. For example, you would get the same result, if you gave
>knight material 0.5 less, and all knight mobility values 0.5 more.
>If I recall, how this was done, in one step there is an inversion (half way) of
>a matrix.
>Using the Gauss Jordan method, this will leave you with a zero pivot element.
>Or are you using some more sophisticated methods like SVD decomposition?
>
>>  "knight material value"            3.567    3.1712    3.1393    3.0996
>>  "bishop material value"           4.1172     3.533    3.3734    3.2835
>
>>  "queen material value"            7.1422    9.5802    9.4663    9.1281
>                                     ^^^^^^
>
>Can this be correct? Q less than N+B in he opening.
>
>Regards,
>Dieter

I guess that it is dependent on more positional scores.
I can imagine that it is possible that practically the queen get a big
positional bonus in the opening thanks to other factors.

Uri



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