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this achieved the maximum entropy principle

This achieved the maximum entropy principle

22 FRONTIERS OF EVOLUTIONARY COMPUTATION

a conditional probability computer would allow to compute all logical infer­ences, if we identify “from y follows z” by the condition The drawback of this proposal is that it needs units.Thus the computation is exponential in time and space.

In both papers the assumption is made that all are independent. This is

Definition 2 A probabilistic statement that z is true given y is a conditional probability with “truth” value

tation. Let be the number of binary concepts. In addition let a number of

But unique P-models are unrealistic. The specification has to set all of the

variables defining the distribution. Consequently, for incomplete specifi­cations the missing information must be added by some automatic completion procedure. This is achieved by the maximum entropy principle. The entropy of a distribution is defined by

Maximum entropy principle: Find the maximal entropy distribution for

which satisfies the given marginals.

Then the maximum entropy solution gives, for instance

cluster on the unique path between

and in the junction tree the relation

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