16.2 VC-dimension of nite automata. (a) What is the VC-dimension of the family of all nite automata?

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16.2 VC-dimension of nite automata.

(a) What is the VC-dimension of the family of all nite automata? What does that imply for PAC-learning of nite automata? Does this result change if we restrict ourselves to learning acyclic automata (automata with no cycles)?

(b) Show that the VC-dimension of the family of DFAs with at most n states is bounded by O(jjn log n).

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Foundations Of Machine Learning

ISBN: 9780262351362

2nd Edition

Authors: Mehryar Mohri, Afshin Rostamizadeh

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