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On explicit formulas of hyperbolic tangent matrix function
Journal of Interdisciplinary MathematicsThe hyperbolic tangent matrix function is a mathematical tool with diverse applications in various fields of mathematics, applied science, and engineering. The hyperbolic tangent matrix th(M), (M ∈ Mr (C)) can be determined through different techniques. In this paper, we establish several explicit formulas for th(tM).
Yassine Laarichi +2 more
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Chaotic Dynamics of a Jerk Function with Hyperbolic Tangent Nonlinearity
2018 Medical Technologies National Congress (TIPTEKNO), 2018This paper analyzes and reports the dynamical behavior of a jerk system used in biomedical modelling applications. This system employs a hyperbolic tangent function as a single source of nonlinearity. The system trajectories, Poincare maps and Lyapunov exponents and spectrum, as well as Bifurcation diagram are presented to verify the chaotic ...
Sibel Ozbal +2 more
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Hardware Implementation of Hyperbolic Tangent Activation Function for Floating Point Formats
2020 24th International Symposium on VLSI Design and Test (VDAT), 2020In this paper, we present the efficient hardware implementation of hyperbolic tangent activation function, which is most widely used in artificial neural networks for accelerating machine learning applications. The proposed design considers the floating point representation of numbers for the first time, the nonlinear nature of the activation function ...
Arvind Thumatti K. R. +5 more
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Hopfield neural network: The hyperbolic tangent and the piecewise-linear activation functions
Neural Networks, 2012This paper reports two-dimensional parameter-space plots for both, the hyperbolic tangent and the piecewise-linear neuron activation functions of a three-dimensional Hopfield neural network. The plots obtained using both neuron activation functions are compared, and we show that similar features are present on them.
Amanda C. Mathias, Paulo C. Rech
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Linear Phase Networks With Hyperbolic Tangent Function and Their Applications
IEEE Transactions on Broadcasting, 1986This paper describes several methods to realize passive and active networks. with linear phase frequency response applicable to the video signal processing circuit especially for the FM transmission system. The methods are based on employing the hyperbolic tangent function realized by using passive LC ladder networks. They are also based on a time base
Takashi Furuhata +3 more
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Neural network operators with hyperbolic tangent functions
Expert Systems with Applications, 2023Behar Baxhaku, Purshottam Narain Agrawal
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A smoothed rank function algorithm based Hyperbolic Tangent function for matrix completion
2012 International Conference on Machine Learning and Cybernetics, 2012The matrix completion problem is to recover the matrix from its partially known samples. A recent convex relaxation of the rank minimization problem minimizes the nuclear norm instead of the rank of the matrix. In this paper, we use a smooth function—Hyperbolic Tangent function to approximate the rank function, and then using gradient projection method
Juan Geng +3 more
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A digital circuit design of hyperbolic tangent sigmoid function for neural networks
2008 IEEE International Symposium on Circuits and Systems (ISCAS), 2008This paper presents a digital circuit design approach for a commonly used activation function, hyperbolic tangent sigmoid functions, for neural networks. Our design concept for such a nonlinear function is to approximate the function of its first-order derivative by piece-wise linear functions first, then to obtain the estimate of the original function
Che-Wei Lin, Jeen-Shing Wang
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Using Hyperbolic Tangent Function for Nonlinear Profile Monitoring
2013For most of the Statistical process control (SPC) applications, the quality of a process or product is measured by one or multiple quality characteristics. In some particular circumstances, quality characteristics depend on the relationship between the response variable and one and/or explanatory variables.
Shu-Kai S. Fan, Tzu-Yi Lee
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Hyperbolic Tangent Sigmoid as a Transformation Function for Image Contrast Enhancement
2023 IEEE Symposium Series on Computational Intelligence (SSCI), 2023Laritza Pérez-Enríquez +3 more
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