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Subject: Re: Chess programming: A statistical approach

Author: Dieter Buerssner

Date: 14:09:29 04/05/04

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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




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