Hi, On 1/30/07, Don Dailey <[EMAIL PROTECTED]> wrote:
It would be interesting if it would be possible to construct a 2 dimensional model statistically. A 2 dimensional system would not be a perfect fit either, but would simply be a better approximation. So in some way a players "strength" could be expressed by 2 numbers instead of 1, and the 2 numbers together would predict your chances of beating another (2 dim) player more accurately that a 1 dimension system could. And of course you could extend this. But I don't have a clue how one would construct such a system or if it's even possible - but it seems like more information should be better than less.
Unfortunately, having more than one dimensions makes comparisons impossible - if an ordering relation is defined over the domain, then this domain is "one-dimensional" with regard to that relation. In other words, one can't compare vectors, just scalars. So the multi-dimensional "strength vector" has to be turned into a scalar (by for example a weighted sum) and we're back where we started... best regards, Vlad (master of the obvious :-) _______________________________________________ computer-go mailing list computer-go@computer-go.org http://www.computer-go.org/mailman/listinfo/computer-go/
