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Mathematical approximation of the hyperbolic tangent
2009 6th International Multi-Conference on Systems, Signals and Devices, 2009This paper presents an assimilation of the transfer function of a differential pair of MOS transistors to a hyperbolic tangent function. Also it prove, that the characteristic of transfer function of a MOS differential pair is symmetrical and that is close to the one of the bipolar transistors differential pair (It represent the transfer function of ...
Mohamed Dhieb +2 more
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Inequalities for the hyperbolic tangent
Analysis, 2005SummaryIn this paper we determine the ranges for which the inequalities (1.2) below hold.
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Hyperbolic tangent passive resistive-type neuron
2015 IEEE International Symposium on Circuits and Systems (ISCAS), 2015In this paper, design of a passive resistive-type neuron is proposed to generate the hyperbolic tangent function as the activation function. The proposed resistive-type neuron has the advantage of not needing any biasing voltage and therefore its power consumption is low. The neuron circuit is designed and simulated in 180 nm CMOS technology.
Jafar Shamsi +5 more
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ON SIMPLE BOUNDS FOR INVERSE HYPERBOLIC SINE AND INVERSE HYPERBOLIC TANGENT FUNCTIONS
Jnanabha, 2021We obtain simple algebraic bounds of inverse hyperbolic sine and inverse hyperbolic tangent functions i.e., sinh⁻¹ x and tanh⁻¹ x. The inequalities are obtained on the entire domains of these functions. From our results, we obtain tighter bounds for the same functions.
Ramkrishna M. Dhaigude +3 more
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A Nonconvex Nonsmooth Image Prior Based on the Hyperbolic Tangent Function
Journal of Scientific Computing, 2023Consider the inverse image problem. The paper proposes a nonconvex nonsmooth image based on the hyperbolic tangent function. The authors give an image processing model based on the proposed prior and apply the alternating direction method of the multipliers algorithm to solve it.
Fang Li 0004, Xiao-Guang Lv
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Limiting Behaviors of Randomly Excited Hyperbolic Tangent Systems
Bell System Technical Journal, 1970We investigate the steady-state probability density distribution of a large class of random processes by solving the governing Fokker-Planck equation. The random response statistics of a nonlinear single-degree-of-freedom mechanical model with hyperbolic tangent stiffness are discussed in some detail.
S. C. Liu, D. K. Cohoon
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Notes on the Dynamics of Hyperbolic Tangent Fuzzy Cognitive Maps
2019 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE), 2019Fuzzy cognitive maps (FCMs) are recurrent neural networks applied for modelling complex systems and structures. In this method, the system is represented by a weighted, directed digraph, where the nodes of the network represent the main characteristics of the modelled system, while the weighted and directed edges correspond to the direction and ...
István Á. Harmati, László T. Kóczy
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Support vector classifier with hyperbolic tangent penalty function
2000 IEEE International Conference on Acoustics, Speech, and Signal Processing. Proceedings (Cat. No.00CH37100), 2002The support vector classifier is a new tool to solve classification problems, giving the classification boundary as a linear combination of the training samples. In non-separable problems with highly overlapped classes, the achieved classifiers are oversized.
Fernando Pérez-Cruz +3 more
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Efficient hardware implementation of the hyperbolic tangent sigmoid function
2009 IEEE International Symposium on Circuits and Systems, 2009Efficient implementation of the activation function is important in the hardware design of artificial neural networks. Sigmoid, and hyperbolic tangent sigmoid functions are the most widely used activation functions for this purpose. In this paper, we present a simple and efficient architecture for digital hardware implementation of the hyperbolic ...
Ashkan Hosseinzadeh Namin +4 more
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An autonomous chaotic oscillator based on hyperbolic tangent nonlinearity
2015 15th International Symposium on Communications and Information Technologies (ISCIT), 2015A simple continuous-time chaotic oscillator is described. The oscillator is designed based on widely studied double-scroll chaotic behavior and thought the use of approximating hyperbolic tangent function as a nonlinear part. Gm-C integrators are primarily employed as the simplest component for performing the three-dimensional differential equations of
Chatchai Wannaboon, Masayoshi Tachibana
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