Belief Operations

Various belief operations tell the belief nodes in the inference network how to score (or if to even score) various terms. The belief operations are:

Belief Operations:

name || Example || Behavior
------- | ------- | -------
combine | #combine(dog train) | 0.5 log( b(dog) ) + 0.5 log( b(train) )
weight, weighted and | #weight(1.0 dog 0.5 train) | 0.67 log( b(dog) ) + 0.33 log( b(train) )
weighted sum | #wsum(1.0 dog 0.5 dog.(title)) | log( 0.67 b(dog) + 0.33 b(dog.(title)) )
not | #not(dog) | log( 1 - b(dog) )
max | #max(dog train) | returns maximum of b(dog) and b(train)
or | #or(dog cat) | log(1 - (1 - b(dog)) * (1 - b(cat))) ||

[ChanBen]

Hello,

Can you tell me please, what does mean the "b" in each equation ??
And can we consider the "#combine" as an "AND" operator ??

[David Fisher]

b() is the belief operator. Typically an estimated probability. #combine is an OR operator