1997
DOI: 10.1109/72.641469
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A new synthesis approach for feedback neural networks based on the perceptron training algorithm

Abstract: In this paper, a new synthesis approach is developed for associative memories based on the perceptron training algorithm. The design (synthesis) problem of feedback neural networks for associative memories is formulated as a set of linear inequalities such that the use of perceptron training is evident. The perceptron training in the synthesis algorithms is guaranteed to converge for the design of neural networks without any constraints on the connection matrix. For neural networks with constraints on the diag… Show more

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Cited by 68 publications
(53 citation statements)
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References 31 publications
(105 reference statements)
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“…These patterns were the desired output of the network and the entries for training are the same patterns with a Gaussian noise of 20%. [17] reproduced and compared five different training algorithms for CNNs, among them a method based on perceptrons was developed by [18] The weights W i of (5) are found by the algorithm of perceptron training [15]. The objective of the training of a CNN is to obtain T and B using the perceptron training algorithm and evaluate the stability of x in (2).…”
Section: Cellular Neural Networkmentioning
confidence: 99%
“…These patterns were the desired output of the network and the entries for training are the same patterns with a Gaussian noise of 20%. [17] reproduced and compared five different training algorithms for CNNs, among them a method based on perceptrons was developed by [18] The weights W i of (5) are found by the algorithm of perceptron training [15]. The objective of the training of a CNN is to obtain T and B using the perceptron training algorithm and evaluate the stability of x in (2).…”
Section: Cellular Neural Networkmentioning
confidence: 99%
“…The properties of equilibrium points of neural systems play an important role in some practical problems, such as optimization solvers (Chen, 2000;Forti, 1995;Kennedy, 1988;Tank and Hopfield, 1986;Sudharsanan and Sundareshan, 1991), pattern recognition (Liu and Lu, 1997) and image compression (Venetianer and Roska, 1998). It is well known that an equilibrium point can be viewed as a special periodic solution of continuous-time neural systems with arbitrary period (Zhang, 2002;Feng, 2003, 2004;).…”
Section: Introductionmentioning
confidence: 99%
“…Não se pode provar, portanto, que soluções periódicas ou caóticas não existirão na dinâmica resultante do sistema. Em [Liu & Lu, 1997], por exemplo,é proposta uma modificação do algoritmo de treinamento baseado em Perceptrons, que leva em consideração essa preocupação quanto a estabilidade da rede. No artigo,é apresentado um algoritmo que resulta em uma matriz T simétrica, garantindo, portanto, que apenas pontos de equilíbrios exis-tam na dinâmica da rede.…”
Section: Discussionunclassified
“…O método apresentado nesta seção, proposto por Liu e Lu [Liu & Lu, 1997], se utiliza de um Perceptron [Rosenblatt, 1958] para encontrar a matriz de conexões da rede. Na Seção 6.5.1, o conceito de Perceptroné revisto e na Seção 6.5.2, a estratégia de solução que utiliza este conceitoé apresentada.…”
Section: Método Baseado Em Aprendizado Por Perceptronunclassified
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