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- W1584711551 abstract "We study computational complexity of learning read-once formulas over different boolean bases. In particular we design a polynomial time algorithm for learning read-once formulas over a threshold basis. The algorithm works in time $O(n^3)$ using $O(n^3)$ membership queries. By the result of [Angluin, Hellerstein, Karpinski, 1989] on the corresponding unate class of boolean functions, this gives a polynomial time learning algorithm for arbitrary read-once formulas over a threshold basis with negation using membership and equivalence queries. Furthermore we study the structural notion of nondegeneracy in the threshold formulas generalizing the result of [Heiman, Newman, Wigderson, 1990] on the uniqueness of read-once formulas over different boolean bases and derive a negative result on learnability of nondegenerate read-once formulas over the basis (AND,~XOR)." @default.
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- W1584711551 date "1990-11-01" @default.
- W1584711551 modified "2023-09-23" @default.
- W1584711551 title "Computational Complexity of Learning Read-Once Formulas over Different Bases" @default.
- W1584711551 hasPublicationYear "1990" @default.
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