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A Polynomial-time Algorithm for Learning Noisy Linear Threshold Functions (1996)  (Make Corrections)  (26 citations)
Avrim Blum, Alan Frieze, Ravi Kannan, Santosh Vempala
IEEE Symposium on Foundations of Computer Science



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Abstract: In this paper we consider the problem of learning a linear threshold function (a halfspace in n dimensions, also called a "perceptron"). Methods for solving this problem generally fall into two categories. In the absence of noise, this problem can be formulated as a Linear Program and solved in polynomial time with the Ellipsoid Algorithm or Interior Point methods. Alternatively, simple greedy algorithms such as the Perceptron Algorithm are often used in practice and have certain provable... (Update)

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BibTeX entry:   (Update)

A. Blum, A. Frieze, R. Kannan, and S. Vempala. A polynomial-time algorithm for learning noisy linear threshold functions. In Proc. 37th IEEE Annual Symposium on Foundations of Computer Science, 1996. http://citeseer.ist.psu.edu/blum96polynomialtime.html   More

@inproceedings{ blum96polynomialtime,
    author = "Avrim Blum and Alan M. Frieze and Ravi Kannan and Santosh Vempala",
    title = "A Polynomial-Time Algorithm for Learning Noisy Linear Threshold Functions",
    booktitle = "{IEEE} Symposium on Foundations of Computer Science",
    pages = "330-338",
    year = "1996",
    url = "citeseer.ist.psu.edu/blum96polynomialtime.html" }
Citations (may not include all citations):
454   the uniform convergence of relative frequencies of events to.. (context) - Vapnik, Ya et al. - 1971
448   A new polynomial-time algorithm for linear programming (context) - Karmarkar - 1984  ACM   DBLP
273   The strength of weak learnability - Schapire - 1990
248   An Introduction to Computational Learning Theory (context) - Kearns, Vazirani - 1994  ACM
221   Perceptrons: An Introduction to Computational Geometry (context) - Minsky, Papert - 1969
174   Principles of Neurodynamics (context) - Rosenblatt - 1962
129   A polynomial algorithm in linear programming (context) - Khachiyan - 1979
107   Efficient noise-tolerant learning from statistical queries - Kearns - 1993  ACM   DBLP
102   Neurocomputing: Foundations of Research (context) - Anderson, Rosenfeld - 1988  ACM
77   Perceptron-based learning algorithms (context) - Gallant - 1990
56   The expressive power of voting polynomials - Aspnes, Beigel et al. - 1991  ACM   DBLP
37   An improved boosting algorithm and its implications on learn.. (context) - Freund - 1992  ACM   DBLP
33   General bounds on statistical query learning and PAC learnin.. - Aslam, Decatur - 1993  ACM   DBLP
31   The relaxation method for linear inequalities (context) - Agmon - 1954
30   the complexity of learning from counterexamples (context) - Maass, Tur'an - 1989
14   Learning linear threshold functions in the presence of class.. - Bylander - 1994  ACM   DBLP
14   From finding maximum feasible subsystems of linear systems t.. (context) - Amaldi - 1994
8   Improved noise-tolerant learning and generalized statistical.. - Aslam, Decatur - 1994
7   Polynomial learnability of linear threshold approximations - Bylander - 1993  ACM   DBLP



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