## Brute-force bayes concept learning free

Brute Force Bayes Concept Learning BruteForce MAP Learning algorithm: For each hypothesis h in H, calculate the posterior probability P ( h D ) P ( D h ) P ( h ) P ( D ) where D ( d 1 d m ) is the set of target values from the set of examples X ( ( x 1, d 1 ) ( x m, d m ) ).

BruteForce MAP LEARNING BruteForce MAP LEARNING in order to specify a learning problem for the algorithm, values for P(h) and P(Djh) must be specied assumptions 1 training data D is noise free (i. e. , d i c(x i)) 2 target concept c is contained in H (i. e. (9h 2H)[(8x 2X)[h(x) c(x)) 3 no reason to believe that any hypothesis is more probable than any

BruteForce Bayes Concept Learning A ConceptLearning algorithm considers a finite hypothesis space H defined over an instance space X The task is to learn the target concept(a function) c: X 0, 1. The learner gets a set of training examples(. . . )

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BruteForce MAP Learning algorithm: For each hypothesis h in H, calculate the posterior probability \[ P(h\, \, D) \fracP(D\, \, h) P(h)P(D)\ where D (d1

Naive Bayes learning algorithm Expectation Maximization (EM) learning algorithm (scheme): learning in the presence of unobserved variables Bayesian Belief Network learning 2. Provides a useful conceptual framework Serves for evaluating other learning algorithms, e. g. concept learning through generaltospecic hypotheses ordering

BruteForce Bayes Concept Learning For each hypothesis h in H, calculate the posterior probability Output the hypothesis h MAP with the highest posterior probability BruteForce Bayes Concept Learning Given no prior knowledge that one hypothesis is more likely than another, what values should we specify for P(h)?

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