6.3. Consider the concept learning algorithm Find G, which outputs a maximally general consistent hypothesis (e.g., some maximally general member of the version space). (a) Give a distribution for P(h) and P(D|h) under which FindG is guaranteed to output a MAP hypothesis. (b) Give a distribution for P(h) and P(D|h) under which FindG is not guaranteed to output a MAР Һурothesis. (c) Give a distribution for P(h) and P(D|h) under which FindG is guaranteed to output a ML hypothesis but not a MAP hypothesis.

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Chapter1: Combinatorial Analysis
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6.3. Consider the concept learning algorithm Find G, which outputs a maximally general
consistent hypothesis (e.g., some maximally general member of the version space).
(a) Give a distribution for P(h) and P(D|h) under which FindG is guaranteed to
output a MAP hypothesis.
(b) Give a distribution for P(h) and P(D|h) under which FindG is not guaranteed
to output a MAР Һурothesis.
(c) Give a distribution for P(h) and P(D|h) under which FindG is guaranteed to
output a ML hypothesis but not a MAP hypothesis.
Transcribed Image Text:6.3. Consider the concept learning algorithm Find G, which outputs a maximally general consistent hypothesis (e.g., some maximally general member of the version space). (a) Give a distribution for P(h) and P(D|h) under which FindG is guaranteed to output a MAP hypothesis. (b) Give a distribution for P(h) and P(D|h) under which FindG is not guaranteed to output a MAР Һурothesis. (c) Give a distribution for P(h) and P(D|h) under which FindG is guaranteed to output a ML hypothesis but not a MAP hypothesis.
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