2001
DOI: 10.1007/3-540-44597-8_34
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Finite-State Computation in Analog Neural Networks: Steps towards Biologically Plausible Models?

Abstract: Abstract. Finite-state machines are the most pervasive models of computation, not only in theoretical computer science, but also in all of its applications to real-life problems, and constitute the best characterized computational model. On the other hand, neural networks -proposed almost sixty years ago by McCulloch and Pitts as a simplified model of nervous activity in living beings-have evolved into a great variety of so-called artificial neural networks. Artificial neural networks have become a very succes… Show more

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Cited by 9 publications
(7 citation statements)
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“…All the remaining vertices (i.e., vertices not in HP, but in RHP) lie on the other side of hyperplane (11):…”
Section: Proofmentioning
confidence: 99%
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“…All the remaining vertices (i.e., vertices not in HP, but in RHP) lie on the other side of hyperplane (11):…”
Section: Proofmentioning
confidence: 99%
“…Construction of innovative methods for BNN learning has been a hot topic of research in the last decade. [6][7][8][9][10] These developments have resulted in new approaches for VLSI 3 implementations, as well as learning theory [11][12][13] and artificial intelligence. 11 The applications of BNNs in these areas have now resulted in well-developed methods.…”
Section: Introductionmentioning
confidence: 99%
“…In addition, the significant increase in computing power exhibited over the past few decades has invigorated the field of machine learning, especially neural networks research. Neural networks are highly parallelized structures based on the workings of nervous systems, which show great potential for modelling biological constructs such as brains [2]. At the same time, neurobiology and human-brain research are progressing at a rapid pace.…”
Section: Introductionmentioning
confidence: 99%
“…Over recent decades, many researchers have explored the relationship between discrete-time recurrent neural networks and finite state machines, either by showing their computational equivalence or by training the former to perform as finite state recognizers [ 1 ]. The relationship between discrete-time recurrent neural networks and finite state machines has very deep roots [ 2 , 3 ].…”
Section: Introductionmentioning
confidence: 99%