what's the relationship with log(sum) and sum(log)?
hi I'm a little confused about the log(sum) function and sum(log) function. In special, what's the relationship between these two terms?
given a negative log-likelihood of an observation set:
where C is the constant parameter. +=1 are proportion of the two component, given the instance
given the constraint, that for each ,
Then how to prove:
Minimize equals minimize ?
then the next step is how to prove the relationship between and ?