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Computational Complexity Of Neural Networks: A Survey (1994)  (Make Corrections)  (7 citations)
Pekka Orponen
Nordic Journal of Computing



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Abstract: We survey some of the central results in the complexity theory of discrete neural networks, with pointers to the literature. Our main emphasis is on the computational power of various acyclic and cyclic network models, but we also discuss briefly the complexity aspects of synthesizing networks from examples of their behavior. 1 Introduction The currently again very active field of computation by "neural" networks has opened up a wealth of fascinating research topics in the computational... (Update)

Context of citations to this paper:   More

.... Alur et al. 1995] hybrid systems) Bournez and Cosnard, 1996] Moore, 1998] Turing machine as dynamical systems) and [Orponen, 1994] (recurrent neural networks) Some open problems related to the computational complexity of control questions are proposed in...

.... networks has intimate connections to the classical theory of Boolean circuit complexity [53] and is surveyed brie y in the articles [36, 40], and at greater depth in the books [41, 43, 52] 2. BASIC NOTIONS AND RESULTS With the brief exception of Section 6 on continuous time...

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Energy-Based Computation with Symmetric Hopfield Nets - Sima   (Correct)
A Computational Taxonomy and Survey of Neural Network Models - Sima, Orponen (2001)   (Correct)
The Computational Theory of Neural Networks - Sima (2000)   (Correct)

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6:   Circuit Complexity and Neural Networks (context) - Parberry - 1994
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BibTeX entry:   (Update)

Orponen, P. Computational complexity of neural networks: A survey. Nordic Journal of Computing 1 (1994), 94--110. http://citeseer.ist.psu.edu/orponen94computational.html   More

@article{ orponen94computational,
    author = "Pekka Orponen",
    title = "Computational complexity of neural networks: a survey",
    journal = "Nordic Journal of Computing",
    volume = "1",
    number = "1",
    month = "Spring",
    pages = "94--110",
    year = "1994",
    url = "citeseer.ist.psu.edu/orponen94computational.html" }
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7   Stability and looping in connectionist models with asymmetri.. (context) - Porat - 1989
7   the computational power of discrete Hopfield nets - Orponen - 1993
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6   the capacity of associative memories with linear threshold f.. (context) - Dembo - 1989
6   Pure and Applied Math (context) - Hong - 1988
5   the computational complexity of analyzing Hopfield nets (context) - Flor'een, Orponen - 1989
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4   Center for Research in Parallel and Distributed Computing (context) - Parberry - 1991
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4   Information capacity of associative memories (context) - Kuh, Dickinson - 1989
3   Global dynamics in neural nets II (context) - Garzon, Franklin - 1989
3   Multilayer feedforward nets are universal approximators (context) - Hornik, Stinchcombe et al. - 1989
3   Training a 3-node neural network in NPcomplete (context) - Blum, Rivest - 1992
2   Attraction radii in binary Hopfield nets are hard to compute - Flor'een, Orponen - 1993



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