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On the approximation of the step function by some sigmoid functions

Mathematics and Computers in Simulation, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Iliev, A., Kyurkchiev, N., Markov, S.
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A class +1 sigmoidal activation functions for FFANNs

Journal of Economic Dynamics and Control, 2003
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Singh, Yogesh, Chandra, Pravin
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THE SIGMOIDAL INVESTMENT FUNCTION [PDF]

open access: possible, 2008
Based on the investment theory of Abel and Eberly (1994), we develop an analytical model of adjustment costs, which produces a sigmoidal investment function. We also estimate the piecewise linear investment function, which includes as special cases linear models, models with one threshold, the original model of Abel and Eberly, which has two thresholds,
Yuzo Honda, Kazuyuki Suzuki
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Certain Class of Starlike Functions Associated with Modified Sigmoid Function

Bulletin of the Malaysian Mathematical Sciences Society, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Priyanka Goel, S. Sivaprasad Kumar
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Why tanh: choosing a sigmoidal function

[Proceedings 1992] IJCNN International Joint Conference on Neural Networks, 2003
As hardware implementations of backpropagation and related training algorithms are anticipated, the choice of a sigmoidal function should be carefully justified. Attention should focus on choosing an activation function in a neural unit that exhibits the best properties for training. The author argues for the use of the hyperbolic tangent.
B.L. Kalman, S.C. Kwasny
openaire   +1 more source

Generalization in a perceptron with a sigmoid transfer function

Proceedings of 1993 International Conference on Neural Networks (IJCNN-93-Nagoya, Japan), 2005
Learning of layered neural networks is studied using the methods of statistical mechanics. Networks are trained from examples using the Gibbs algorithm. We focus on the generalization curve, i.e. the average generalization error as a function of the number of the examples. We consider perceptron learning with a sigmoid transfer function.
HA, S, KANG, K, OH, JH, KWON, C, PARK, Y
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Functional stenosis of the sigmoid curve of the duodenum in cattle

Veterinary Record, 1983
The symptoms and treatment of 18 cattle suffering from functional stenosis of the sigmoid curve of the duodenum are described. Side to side anastomosis between the proximal part of the duodenum and the descending duodenum is the most successful treatment for this previously undescribed syndrome.
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Polynomial bounds for a class of univalent function involving sigmoid function

2018
Summary: In this work, a new subclass of univalent function was defined using the Sălăgean differential operator involving the modified sigmoid function and the Chebyshev polynomials. The coefficient bounds and the Fekete-Szego functional of this class were obtained using subordination principle.
Fadipe-Joseph, Olubunmi   +3 more
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The new approximation operators with sigmoidal functions

Journal of Applied Mathematics and Computing, 2013
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Zhang, Zhengqiu   +3 more
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Degree of approximation by superpositions of a sigmoidal function

Approximation Theory and its Applications, 1993
Summary: We study the degree of approximation by superpositions of a sigmoidal function. We mainly consider the univariate case. If \(f\) is a continuous function, we prove that for any bounded sigmoidal function \(\sigma\), \(d_{n,\sigma}(f)\leq \|\sigma\| \omega \bigl( f,{1\over{n+1}}\bigr)\). For the Heaviside function \(H(x)\), we prove that \(d_{n,
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