How many distinct hypotheses are there in H?
There are 973 (= 1 + 4.3. 3.3. 3.3) semantically distinct hypotheses in H. – Only one more value for attributes: ?, and one hypothesis representing empty set of instances.
How can partially learned concepts be used?
We could define an unbiased hypothesis space by allowing arbitrary conjunctions, disjunctions, and negations. If we use a partially-learned concept, then exactly half of the hypotheses will vote positive and half negative for every unseen example.
What is general to specific ordering in machine learning?
By taking advantage of naturally occurring structure, we can design learning algorithms that exhaustively search even infinite hypothesis spaces without explicitly enumerating every hypothesis. More-general-than and more-specific-than are also useful.
How do you calculate syntactically distinct hypotheses?
(Φ) null so your “syntactically distinct hypotheses” would be 4*5*5 = 100. A little more, if you have only wild card for each feature and one instance for the empty set (Φ) you get “semantically distinct hypotheses” i.e. 3*4*4 + 1 = 49. Hope this helps.
What is maximally specific hypothesis?
Begin with the most specific possible hypothesis in , generalize this hypothesis each time it fails to cover an observed positive training example. Find-S algorithm ignores negative examples.
How are the attributes of a hypothesis specified?
Let each hypothesis be a vector of six constraints, specifying the values of the six attributes . In hypothesis representation, value of each attribute could be either
How many hypotheses are there in concept learning?
• There are 973 (= 1 + 4.3.3.3.3.3) semantically distinct hypothesesin H. – Only one more value for attributes: ?, and one hypothesis representing empty set of instances.
Which is hypothesis classifies the instance X as positive?
Hypothesis h1 and h2 classifies the instance x as positive can written as h1 (x) = 1 and h2 (x) = 1. Now h2 is more general than h1, so it can be written as if h1 (x) = 1 implies h2 (x) = 1.
How is the search organized in the hypothesis space?
The hypothesis space has a general-to-specific orderingof hypotheses, and the search can be efficiently organized by taking advantage of a naturally occurring structure over the hypothesis space.