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Separating Distribution-Free And Mistake-Bound Learning Models Over The Boolean Domain (1990)

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by Avrim L. Blum
Venue:SIAM J. COMPUT
Citations:21 - 2 self
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BibTeX

@ARTICLE{Blum90separatingdistribution-free,
    author = {Avrim L. Blum},
    title = {Separating Distribution-Free And Mistake-Bound Learning Models Over The Boolean Domain},
    journal = {SIAM J. COMPUT},
    year = {1990},
    volume = {23},
    pages = {211--218}
}

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Abstract

Two of the most commonly used models in computational learning theory are the distribution-free model in which examples are chosen from a fixed but arbitrary distribution, and the absolute mistake-bound model in which examples are presented in an arbitrary order. Over the Boolean domain , it is known that if the learner is allowed unlimited computational resources then any concept class learnable in one model is also learnable in the other. In addition, any polynomial-time learning algorithm for a concept class in the mistake-bound model can be transformed into one that learns the class in the distribution-free model. This paper

Citations

1515 A Theory of the Learnable - Valiant - 1984
601 A pseudorandom generator from any one-way function - H˚astad, Impagliazzo, et al. - 1999
554 The strenght of weak learnability - Schapire - 1990
544 How to construct random functions - Goldreich, Goldwasser, et al. - 1986
533 How to generate cryptographically strong sequences of pseudorandom bits - Blum, Micali - 1984
453 Theory and applications of trapdoor functions - Yao - 1982
439 Learning regular sets from queries and counterexamples - Angluin - 1987
347 Learning decision lists - Rivest - 1987
279 Cryptographic limitations on learning boolean formulae and finite automata - Kearns, Valiant - 1994
185 A simple unpredictable pseudo-random number generator - Blum, Shub - 1986
155 On the Learnability of Boolean Formula - Kearns, Li, et al. - 1987
117 One-way functions and pseudorandom generators - Levin - 1987
107 When won’t membership queries help - Angluin, Kharitonov - 1991
100 Learning when irrelevant attributes abound: A new linear-threshold algorithm - Littlestone - 1988
89 Equivalence of models for polynomial learnability - HAUSSLER, KEARNS, et al. - 1991
56 The Computational Complexity of Machine Learning - Kearns - 1990
49 Pseudorandom Generation under Uniform Assumptions - H˚astad - 1990
44 Predicting {0, 1}-functions on randomly drawn points - HAUSSLER, LITTLESTONE, et al. - 1994
34 Exact Learning of Read-Twice DNF formulas - Aizenstein, Pitt - 1991
33 Learning nested differences of intersection-closed concept classes - Helmbold, Sloan, et al. - 1989
30 On the complexity of learning from counterexamples - Turan - 1989
4 Learning 2µ DNF formulas and kµ decision trees - Hancock - 1991
1 concept learning - Queries - 1988
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