Limit-average automata are not PAC-learnable passively (NP-complete to fit samples) but can be learned almost-exactly in polynomial time via active queries under uniform distribution.
The minimum consistent DFA problem cannot be approximated within any polynomial
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Approximate Learning of Limit-Average Automata
Limit-average automata are not PAC-learnable passively (NP-complete to fit samples) but can be learned almost-exactly in polynomial time via active queries under uniform distribution.