(Enter summary)
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...
Cited by: More
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)
Similar documents (at the sentence level):
42.5%: Neural Networks and Complexity Theory - Orponen (1992)
(Correct)
Active bibliography (related documents): More All
5.4: Computational Complexity Of Neural Networks: A Survey - Orponen (1995)
(Correct)
2.7: Complexity Issues in Discrete Hopfield Networks - Floréen, Orponen
(Correct)
1.0: The Computational Power of Discrete Hopfield Nets with Hidden Units - Orponen (1996)
(Correct)
Similar documents based on text: More All
0.3: A New Heuristic for Placing Absolute P-Centers on a Cyclic.. - Damle Sule Department
(Correct)
0.3: Report for Publication of the Activity of the Working Group.. - Shawe-Taylor (1997)
(Correct)
0.2: The Perceptron algorithm vs. Winnow: linear vs. logarithmic.. - Kivinen, Warmuth (1997)
(Correct)
Related documents from co-citation: More All
6: Circuit Complexity and Neural Networks (context) - Parberry - 1994
6: Analog computation via neural networks
- Siegelmann, Sontag - 1994
5: A primer on the complexity theory of neural networks (context) - Parberry - 1990
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" }
Citations (may not include all citations):
1056
Introduction to the Theory of Neural Computation (context) - Hertz, Krogh et al. - 1991
700
Self-Organization and Associative Memory (context) - Kohonen - 1989
653
Neural networks and physical systems with emergent collectiv.. (context) - Hopfield - 1982
625
Parallel Distributed Processing: Explorations in the Microst.. (context) - McClelland, Rumelhart - 1986
357
Approximation by superposition of a sigmoidal function (context) - Cybenko - 1989
291
A logical calculus of the ideas immanent in nervous activity (context) - McCulloch, Pitts - 1943
254
Neural computation of decisions in optimization problems (context) - Hopfield, Tank - 1985
235
the approximate realization of continuous mappings by neural.. (context) - Funahashi - 1989
228
Simulated Annealing and Boltzmann Machines (context) - Aarts, Korst - 1989
223
The Organization of Behavior (context) - Hebb - 1949
192
Representation of events in nerve nets and finite automata (context) - Kleene - 1956
177
Computation: Finite and Infinite Machines (context) - Minsky - 1967
167
Structural Complexity (context) - Balc'azar, D'iaz et al. - 1988
138
Learning and relearning in Boltzmann machines (context) - Hinton, Sejnowski
103
Almost optimal lower bounds for small depth circuits
- Hastad - 1989
102
Neurocomputing: Foundations of Research (context) - Anderson, Rosenfeld - 1988
101
Threshold Logic and Its Applications (context) - Muroga - 1971
90
Neural Network Design and the Complexity of Learning (context) - Judd - 1990
75
and the polynomial-time hierarchy (context) - Furst, Saxe et al. - 1984
53
The capacity of the Hopfield associative memory (context) - McEliece, Posner et al. - 1987
44
Bounds for the computational power and learning complexity o..
- Maass - 1993
37
Efficient simulation of finite automata by neural nets (context) - Alon, Dewdney et al. - 1991
37
general weighted threshold gates (context) - Goldmann, Hastad et al. - 1992
36
the computational power of sigmoid versus Boolean threshold .. (context) - Maass, Schnitger et al. - 1991
34
Storing infinite numbers of patterns in a spin-glass model o.. (context) - Amit, Gutfreund et al. - 1985
32
the size of weights for threshold gates
- Hastad
29
Complexity results on learning by neural nets
- Lin, Vitter - 1991
29
Circuit Complexity and Neural Networks (context) - Parberry - 1994
28
Correlation matrix memories (context) - Kohonen - 1972
27
the power of small-depth threshold circuits (context) - Hastad, Goldmann - 1991
26
Decreasing energy functions as a tool for studying threshold.. (context) - Goles, Fogelman et al. - 1985
26
A primer on the complexity theory of neural networks (context) - Parberry - 1990
25
Collective computational properties of neural networks: New .. (context) - Personnaz, Guyon et al. - 1986
25
On Connectionist Models of Natural Language Processing (context) - Pollack - 1987
23
The power of approximating: A comparison of activation funct..
- DasGupta, Schnitger - 1993
23
the complexity of loading shallow neural networks (context) - Judd - 1988
23
Recursive Neural Networks for Associative Memory (context) - Kamp, Hasler - 1990
22
Exponential transient classes of symmetric neural networks f.. (context) - Goles, Mart'inez - 1989
22
Neural computability (context) - Franklin, Garzon - 1990
19
A simple neural network generating an interactive memory (context) - Anderson - 1972
19
Simulating threshold circuits by majority circuits
- Goldmann, Karpinski - 1993
17
A comparison of the computational power of neural networks (context) - Hartley, Szu - 1987
16
Computational power for networks of threshold devices in an .. (context) - Lepley, Miller - 1983
16
the size of weights required for linear-input switching func.. (context) - Myhill, Kautz - 1961
16
Transient length in sequential iterations of threshold funct.. (context) - Fogelman, Goles et al. - 1983
15
Neural and Automata Networks (context) - Goles, Mart'inez - 1990
15
Steepest descent can take exponential time for symmetric con.. (context) - Haken, Luby - 1988
14
Representation of associated data by matrix operations (context) - Kohonen, Ruohonen - 1973
13
Neurocomputing 2: Directions for Research (context) - Anderson, Pellionisz et al. - 1990
13
On characterizations of the class PSPACE/poly (context) - Balc'azar, D'iaz et al. - 1987
12
the Computational Complexity of Finding Stable State Vectors.. (context) - Godbeer, Lipscomb et al. - 1988
12
Theory of majority decision elements (context) - Muroga, Toda et al. - 1961
12
The convergence of symmetric threshold automata (context) - Goles, Olivos - 1981
12
Connectionist networks that need exponential time to stabili.. (context) - Haken - 1989
11
Associatron --- a model of associative memory (context) - Nakano - 1972
11
the convergence properties of the Hopfield model (context) - Bruck - 1990
10
Relating Boltzmann machines to conventional models of comput.. (context) - Parberry, Schnitger - 1989
10
Neural computability II (context) - Garzon, Franklin - 1989
9
Learning in threshold networks (context) - Raghavan - 1988
9
Automata Networks in Computer Science: Theory and Applicatio.. (context) - Fogelman, Robert et al. - 1987
8
The Computational and Learning Complexity of Neural Networks.. (context) - Parberry
7
Stability and looping in connectionist models with asymmetri.. (context) - Porat - 1989
7
the computational power of discrete Hopfield nets
- Orponen - 1993
6
Asynchronous threshold networks (context) - Alon - 1985
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
5
Global dynamics in neural networks (context) - Franklin, Garzon - 1989
4
Center for Research in Parallel and Distributed Computing (context) - Parberry - 1991
4
Analog neural networks of limited precision I: Computing wit.. (context) - Obradovic, Parberry - 1990
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
The graph only includes citing articles where the year of publication is known.
Online articles have much greater impact More about CiteSeer.IST Add search form to your site Submit documents Feedback
CiteSeer.IST - Copyright Penn State and NEC