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General-Purpose Computation with Neural Networks: A Survey of Complexity Theoretic Results
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SYSNO ASEP 0404255 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title General-Purpose Computation with Neural Networks: A Survey of Complexity Theoretic Results Author(s) Šíma, Jiří (UIVT-O) RID, SAI, ORCID
Orponen, P. (FI)Source Title Neural Computation - ISSN 0899-7667
Roč. 15, č. 12 (2003), s. 2727-2778Number of pages 50 s. Language eng - English Country US - United States Keywords computational power ; computational complexity ; perceptrons ; radial basis functions ; spiking neurons ; feedforward networks ; reccurent networks ; probabilistic computation ; analog computation Subject RIV BA - General Mathematics R&D Projects IAB2030007 GA AV ČR - Academy of Sciences of the Czech Republic (AV ČR) GA201/02/1456 GA ČR - Czech Science Foundation (CSF) CEZ 1030915 UT WOS 000186231300001 EID SCOPUS 10744230566 DOI 10.1162/089976603322518731 Annotation We survey and summarize the literature on the computational aspects of neural network models by presenting a detailed taxonomy of the various models according to their complexity theoretic characteristics. The criteria of classification include the architecture of the network (feedforward versus recurrent), time model (discrete versus continuous), state type (binary versus analog), weight constraints (symmetric versus asymmetric), network size (finite nets versus infinite families), and computation type (deterministic vers probabilistic), among others. The underlying results concerning the computational power and complexity issues of perceptron, radial basis function, winner-take-all, and spiking neural networks are briefly surveyed, with pointers to the relevant literature. In our survey, we focus mainly on the digital computation whose inputs and outputs are binary in nature, although their values are quite often encoded as analog neuron states. We omit the important learning issu Workplace Institute of Computer Science Contact Tereza Šírová, sirova@cs.cas.cz, Tel.: 266 053 800 Year of Publishing 2004
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