Re: BISC: resend


Subject: Re: BISC: resend
From: H. Mark Hubey (HubeyH@mail.montclair.edu)
Date: Sun Jul 23 2000 - 21:19:52 MET DST


"Michelle T. Lin" wrote:
>
> *********************************************************************
> Berkeley Initiative in Soft Computing (BISC)
> *********************************************************************
>
> To: BISC Group
> From: L. A. Zadeh <zadeh@cs.berkeley.edu>
>
> A Challenge to Data Miners: The Soccer Problem
> ----------------------------------------------
>
> Recently, I was watching the soccer match between France and
> Portugal. I noticed that most of the time the ball was in the vicinity
> of the goal of Portugal. This observation suggested the following
> hypothesis, call it H.
>
> For generality, let the opposing sides be labeled A and B. Let
> r be the fraction of time the ball spends in the vicinity of the goal
> of A. The hypothesis is that the closer the value of r is to 1, the
> higher the probability that B will win.
>
> To make the hypothesis more concrete, assume that r is
> measured as follows. Let the playing field be partitional into zones
> R1,...Rn, with R1 being nearest to the goal of A and Rn the farthest.
> Let ri be the fraction of time the ball spends in Ri, i=1,..,n. Let
> wi, i=1,..,n be weights ranging in magnitude from 0 to 1. Then
> r=w1r1+...+wnrn.
>
> Does there exist a choice of the Ri and this wi such that H is
> true? This is the crux of the problem. The assumption is that we
> analyze N games, with r computed at the end of each game. The result
> for game j, j=1,..,N, will be W(j) (win), D(j) (draw) and L(j) (lose),
> with r being r(j), j=1,..,N. These data, then, would serve as a basis
> for testing H.
>
> The soccer problem is an instance of a problem in data mining
> in which a hypothesis, H, is (a) generated; (b) tested; and (c)
> modified. In my view, it is a challenging problem because how to
> choose and adjust the Ri and wi is not a simple matter.

It seems like this can be solved using the method in my paper
named Curse.pdf.

It's just that instead of a weighted average kind of a solution
we might get a nonlinear product-sum kind of a solution.

-- 
Regards, Mark
/\/\/\/\/\....I love humanity. It's people I can't stand...../\/\/\/\/\
==-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-==
hubeyh@mail.montclair.edu =-=-=-=-=-= http://www.csam.montclair.edu/~hubey

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