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Sample-efficient Strategies for Learning in the Presence of Noise (1999)  (Make Corrections)  
Nicolò Cesa-Bianchi, Eli Dichterman, Paul Fischer, Eli Shamir, Hans Ulrich Simon
Journal of the ACM



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Abstract: In this paper we prove various results about PAC learning in the presence of malicious noise. Our main interest is the sample size behaviour of learning algorithms. We prove the first nontrivial sample complexity lower bound in this model by showing that order of "=\Delta 2 + d=\Delta (up to logarithmic factors) examples are necessary for PAC learning any target class of f0; 1g-valued functions of VC dimension d, where " is the desired accuracy and j = "=(1 + ") \Gamma \Delta the... (Update)

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BibTeX entry:   (Update)

@article{ cesabianchi99sampleefficient,
    author = "Nicol{\`o} Cesa-Bianchi and Eli Dichterman and Paul Fischer and Eli Shamir and Hans Ulrich Simon",
    title = "Sample-efficient strategies for learning in the presence of noise",
    journal = "Journal of the ACM",
    volume = "46",
    number = "5",
    pages = "684--719",
    year = "1999",
    url = "citeseer.ist.psu.edu/article/cesa-bianchi99sampleefficient.html" }
Citations (may not include all citations):
493   Communications of the ACM (context) - Valiant, of et al. - 1984
348   Estimation of Dependences Based on Empirical Data (context) - Vapnik - 1982
151   A general lower bound on the number of examples needed for l.. (context) - Ehrenfeucht, Haussler et al. - 1989
115   Efficient distribution-free learning of probabilistic concep.. - Kearns, Schapire - 1994
115   the Density of Families of Sets (context) - Sauer - 1972
102   Toward efficient agnostic learning - Kearns, Schapire et al. - 1994
94   Learning in the presence of malicious errors - Kearns, Li - 1993
52   Learning from good and bad data (context) - Laird - 1988
12   Stability and Order for Models and Theories in Infinitary La.. (context) - Shelah, Problem - 1972
9   General bounds on the number of examples needed for learning.. (context) - Simon - 1993
8   Some approximations to the binomial distribution function (context) - Bahadur - 1960
7   Monotone convergence of binomial probabilities and a general.. (context) - Jogdeo, Samuels - 1968

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