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Journal Neurocomputers №4 for 2013 г.
Article in number:
Weight vector jitter in the neural network with Hebb-s algorithm tuning
Keywords: алгоритм Хэбба нейронные сети флуктуации весового вектора корреляционная матрица мощность
Authors:
S.V. Zimina
Abstract:
In this article the results of statistical analysis of neural network (NN) with Hebb-s algorithm tuning for weight vector jitter are represented. The expressions for correlation matrixes of output signals and output powers of neurons of the first, second and third neural network layer are obtained. It is shown, that the weight vector jitter leads to distortions of statistical characteristics of neural network. These distortions depends on number of neural network layer. The results of computer simulation, which confirming the conclusions of theoretical analysis are represented.
Pages: 3-8
References
  1. Haykin S. Neural Networks: A comprehensive Foundation. New York: Macmillan College Publishing Company. 1994.
  2. Diamantaras K.I., Kung S.Y. Principal Component Neural Networks: Theory and Applications. New York: John Wiley&Sons. 1996.
  3. Litvinov O.S., Zimina S.V. Issledovanie kharakteristik algoritma KHehbba v zadachakh obrabotki radiosignalov // Uspekhi sovremennojj radioehlektroniki. 2006. № 6. S. 23-27.
  4. Litvinov O.S., Zimina S.V. Korreljacionnaja funkcija i moshhnost vykhodnogo signala adaptivnojj antennojj reshetki, nastraivajushhejjsja po algoritmu KHehbba, s uchetom fluktuacijj vesovykh koehfficientov // Materialy Vseross. nauchno-tekhn. konf. «Intellektualnye i informacionnye sistemy». Tula: Tulskijj gosudarstvennyjj universitet. 2007. S. 113-115.
  5. Uidrou B., Stirnz S. Adaptivnaja obrabotka signalov. M.: Radio i svjaz. 1989.
  6. Malcev A.A., Zimina S.V. Spektralno-korreljacionnye kharakteristiki vykhodnogo signala adaptivnykh antennykh reshetok s uchetom fluktuacijj vesovogo vektora // Radiotekhnika i ehlektronika. 2001. T. 46. № 11. S. 1350-1355.
  7. Malcev A.A., Zimina S.V. Vlijanie fluktuacijj vesovogo vektora na statisticheskie kharakteristiki adaptivnojj antennojj reshetki s bystrym rekurrentnym algoritmom nastrojjki // Izv. vuzov. Radiofizika, 2002. T. 45. № 8. S. 708-721.