Approximation with activation functions and applications
نویسندگان
چکیده
Function approximation arises in many branches of applied mathematics and computer science, particular numerical analysis, finite element theory more recently data sciences domain. From most common we cite, polynomial, Chebychev Fourier series approximations. In this work establish some approximations a continuous function by activation functions. First, deal with one two dimensional cases. Then, generalize the to multi case. Examples applications these are: interpolation, integration, neural network. Finally, will present results examples above. La théorie d’approximation des fonctions couvre de nombreuses en mathématiques appliquées, informatique et l’ingénieur, particulier analyse numérique, éléments finis plus récemment données. Parmi les fortement utilisées nous citons polynomiale type Lagrange, Hermite ou au sens Chebychev. Nous trouvons aussi l’approximation d’une fonction par une séries Fourier, rationnelle...Dans ce travail, établissons quelques résultats d’approximations continue série activation. traitons d’abord cas à seule puis deux variables, généralisons multidimensionnel. appliquons ces pour l’interpolation l’intégration réseau neuronal. donnons chaque application numériques.
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ژورنال
عنوان ژورنال: ARIMA
سال: 2021
ISSN: ['1638-5713']
DOI: https://doi.org/10.46298/arima.6464