| On Learning Bounded-Width Branching Programs (1999) | |||||||||||||||
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| In this paper, we study PAC-learning algorithms for specialized classes of deterministic finite automata (DFA). In particular, we study branchingprograms, and we investigate the influence of the width of the branching program on the difficulty of the learning problem. We first present a distribution-free algorithm for learning width-2 branching programs. We also give an algorithm for the proper learning of width-2 branching programs under uniform distribution on labeled samples. We then show that the existence of an efficient algorithm for learning width-3 branching programs would imply the existence of an efficient algorithm for learning DNF, which is not known to be the case. Finally, we show that the existence of an algorithm for learning width-3 branching programs would also yield an algorithm for learning a very restricted version of parity with noise. 1 Introduction The problem of learning deterministic finite state automata (DFA) has been well studied in recent years. In genera... | |||||||||||||||
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