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Abstract: this article, will be either
the boolean alphabet f0; 1g, or the real alphabet R. We denote the set of n-tuples of
elements of by (Update)
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.... hardness results hold for neural networks was first shown by Judd [66] In this section we shall prove a simple hardness result from [10, 11] along the lines of one due to Blum and Rivest [36] Neural Computing Surveys 1, 1 47, 1997, http: www.icsi.berkeley.edu jagota NCS...
...to (multilayer) feedforward networks with binary single output. A number of extensions and variations on the basic PAC model have been made [2]. There are extensions for analyzing feedforward linear threshold networks having more than one output node [9] or artificial neural...
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BibTeX entry: (Update)
M. Anthony and N. Biggs. Computational learning theory for artificial neural networks. In J. Taylor, editor, Mathematical Approaches to Neural Networks, North Holland Mathematical Library (51), pages 25--62. Elsevier Science Publishers B. V., Amsterdam, 1993. http://citeseer.ist.psu.edu/article/anthony93computational.html More
@misc{ anthony93computational,
author = "M. Anthony and N. Biggs",
title = "Computational learning theory for artificial neural networks",
text = "M. Anthony and N. Biggs. Computational learning theory for artificial neural
networks. In J. Taylor, editor, Mathematical Approaches to Neural Networks,
North Holland Mathematical Library (51), pages 25--62. Elsevier Science
Publishers B. V., Amsterdam, 1993.",
year = "1993",
url = "citeseer.ist.psu.edu/article/anthony93computational.html" }
Citations (may not include all citations):
3972
Introduction to Algorithms (context) - Leiserson, Cormen et al. - 1990
493
Communications of the ACM (context) - Valiant, of et al.
466
Probability and Measure (context) - Billingsley - 1986
454
the uniform convergence of relative frequencies of events to.. (context) - Chervonenkis, Vapnik et al. - 1971
441
Queries and concept learning (context) - Angluin - 1988
348
Estimation of Dependences Based on Empirical Data (context) - Vapnik - 1982
318
Convergence of Stochastic Processes (context) - Pollard - 1984
203
What size net gives valid generalization (context) - Haussler, Baum et al. - 1989
151
A general lower bound on the number of examples needed for l.. (context) - Ehrenfeucht, Haussler et al. - 1989
146
Computers and Intractibility: A Guide to the Theory of NP-Co.. (context) - Johnson, Garey et al. - 1979
144
Computational limitations on learning from examples (context) - Valiant, Pitt et al. - 1988
115
the density of families of sets (context) - Sauer - 1972
107
Convex Polytopes (context) - Grunbaum - 1967
92
Machine Learning: A Theoretical Approach (context) - Natarajan - 1991
76
A course on empirical processes (context) - Dudley - 1984
66
Computational learning theory: survey and selected bibliogra.. (context) - Angluin - 1992
66
Constant depth circuits (context) - Mansour, Linial et al. - 1989
43
Neural net algorithms that learn in polynomial time from exa.. (context) - Baum - 1991
42
Computational Learning Theory: an Introduction (context) - Biggs, Anthony et al. - 1992
40
Lower bound methods and separation results for on-line learn.. (context) - Turan, Maass et al. - 1992
24
Bounding sample size with the Vapnik-Chervonenkis dimension (context) - Anthony, Shawe-Taylor et al. - 1993
20
Algorithms and Complexity
- Wilf - 1986
19
the complexity of learning from counterexamples and membersh.. (context) - Turan, Maass et al. - 1990
16
Characterizations of learnability for classes of f0; : : : ;.. (context) - Cesa-Bianchi, Ben-David et al. - 1992
16
The learnability of formal concepts (context) - Biggs, Anthony et al. - 1990
14
Polynomial time algorithms for learning neural nets (context) - Baum - 1990
14
A theory of learning simple concepts under simple distributi.. (context) - Vitanyi, Li et al. - 1989
12
Sample sizes for multiple output threshold networks (context) - Anthony, Shawe-Taylor et al. - 1991
12
Learning in neural networks (context) - Judd - 1988
11
Ecient distribution-free learning of probabilistic concepts (context) - Schapire, Kearns et al. - 1990
11
Lower bounds on the Vapnik-Chervonenkis Dimension of multi-l..
- Bartlett - 1992
8
A parameterization scheme for classifying models of learnabi.. (context) - Benedek, Ben-David et al. - 1989
7
Cryptographic hardness of distribution specic learning (context) - Kharitonov - 1993
7
Necessary and sucient conditions for the uniform convergence.. (context) - Chervonenkis, Vapnik et al. - 1981
6
Dominating distributions and learnability (context) - Itai, Benedek et al. - 1992
6
Polynomial uniform convergence and polynomial sample learnab..
- Bertoni, Campadelli et al. - 1992
4
Philosophical Transactions of the Royal Society of London (context) - Valiant, learning
3
Learnability with respect to xed distributions (context) - Itai, Benedek et al. - 1991
2
Learning stochastic functions by smooth simultaneous estimat.. (context) - Kumar, Buescher et al. - 1992
2
Royal Holloway and Bedford New College (context) - Shawe-Taylor, Anthony et al. - 1990
2
Finiteness results for sigmoidal \neural (context) - Sontag, Macintyre et al. - 1993
1
Learnability by xed distributions (context) - Itai, Benedek et al. - 1988
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