Search Results - Hyperbolic Tangent function Approximation
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Complex-Valued Multivariate Neural Network (MNN) Approximation by Parameterized Half-Hyperbolic Tangent Function
ISSN: 2227-7390, 2227-7390Published: Basel MDPI AG 01.02.2025Published in Mathematics (Basel) (01.02.2025)“…This paper deals with a family of normalized multivariate neural network (MNN) operators of complex-valued continuous functions for a multivariate context on a box of RN¯, N¯∈N…”
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Efficiently inaccurate approximation of hyperbolic tangent used as transfer function in artificial neural networks
ISSN: 0941-0643, 1433-3058Published: London Springer London 01.08.2021Published in Neural computing & applications (01.08.2021)“…We propose the approximation of tanh (i.e. the hyperbolic tangent) by specific formation of cubic splines…”
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Arbitrarily Accurate Spline Based Approximations for the Hyperbolic Tangent Function and Applications
ISSN: 2349-5103, 2199-5796Published: New Delhi Springer India 01.12.2021Published in International journal of applied and computational mathematics (01.12.2021)“… Explicit formulas for the errors in the approximations are specified. Applications are detailed and these include, first, upper and lower bound functions for tanh ( x…”
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Parametrized Half-Hyperbolic Tangent Function-Activated Complex-Valued Neural Network Approximation
ISSN: 2073-8994, 2073-8994Published: Basel MDPI AG 01.12.2024Published in Symmetry (Basel) (01.12.2024)“…In this paper, we create a family of neural network (NN) operators employing a parametrized and deformed half-hyperbolic tangent function as an activation function and a density function produced by the same activation function…”
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Multivariate hyperbolic tangent neural network approximation
ISSN: 0898-1221, 1873-7668Published: Elsevier Ltd 01.02.2011Published in Computers & mathematics with applications (1987) (01.02.2011)“… Our multivariate operators are defined by using a multidimensional density function induced by the hyperbolic tangent function…”
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Echo state network implementation for chaotic time series prediction
ISSN: 0141-9331Published: 01.11.2023Published in Microprocessors and microsystems (01.11.2023)Get full text
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Approximations of Tangent Polynomials, Tangent –Bernoulli and Tangent – Genocchi Polynomials in terms of Hyperbolic Functions
ISSN: 1110-757X, 1687-0042Published: New York Hindawi 29.11.2021Published in Journal of applied mathematics (29.11.2021)“…Asymptotic approximations of Tangent polynomials, Tangent-Bernoulli, and Tangent-Genocchi polynomials are derived using saddle point method and the approximations are expressed in terms of hyperbolic functions…”
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Univariate hyperbolic tangent neural network approximation
ISSN: 0895-7177, 1872-9479Published: Kidlington Elsevier Ltd 01.03.2011Published in Mathematical and computer modelling (01.03.2011)“…Here we study the univariate quantitative approximation of real and complex valued continuous functions on a compact interval or all the real line by quasi-interpolation hyperbolic tangent neural network operators…”
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Asymptotic Approximations of Apostol-Tangent Polynomials in Terms of Hyperbolic Functions
ISSN: 1526-1506Published: 2022Published in Computer modeling in engineering & sciences (2022)Get full text
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Abstract Univariate Neural Network Approximation Using a q-Deformed and λ-Parametrized Hyperbolic Tangent Activation Function
ISSN: 2504-3110, 2504-3110Published: Basel MDPI AG 01.03.2023Published in Fractal and fractional (01.03.2023)“… Our operators are expressed via a density function based on a q-deformed and λ-parameterized hyperbolic tangent activation sigmoid function…”
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The construction and approximation of feedforward neural network with hyperbolic tangent function
ISSN: 1005-1031, 1993-0445Published: Hangzhou Editorial Committee of Applied Mathematics - A Journal of Chinese Universities 01.06.2015Published in Applied Mathematics-A Journal of Chinese Universities (01.06.2015)“…In this paper, we discuss some analytic properties of hyperbolic tangent function and estimate some approximation errors of neural network operators with the hyperbolic tangent activation function…”
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Abstract Univariate Neural Network Approximation Using a Iq/I-Deformed and Iλ/I-Parametrized Hyperbolic Tangent Activation Function
ISSN: 2504-3110, 2504-3110Published: MDPI AG 01.02.2023Published in Fractal and fractional (01.02.2023)“… Our operators are expressed via a density function based on a q-deformed and λ-parameterized hyperbolic tangent activation sigmoid function…”
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q-Deformed and L-parametrized hyperbolic tangent function relied complex valued multivariate trigonometric and hyperbolic neural network approximations
ISSN: 2582-0818, 2582-0818Published: 31.12.2023Published in Annals of Communications in Mathematics (31.12.2023)“…-parametrized hyper-bolic tangent function, which is a sigmoid function. The approximations are pointwise and uniform…”
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Hyperbolic Tangent Like Relied Banach Space Valued Neural Network Multivariate Approximations
ISSN: 1841-3307, 1841-3293, 1841-3307Published: Timisoara Sciendo 01.06.2023Published in Analele Universității din Timișoara. Seria Matematică-informatică (01.06.2023)“… Our multivariate operators are defined by using a multidimensional density function induced by a hyperbolic tangent like sigmoid function…”
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Efficient VLSI Implementation of Neural Networks With Hyperbolic Tangent Activation Function
ISSN: 1063-8210, 1557-9999Published: IEEE 01.01.2014Published in IEEE transactions on very large scale integration (VLSI) systems (01.01.2014)“… In this paper, an efficient approximation scheme for hyperbolic tangent function is proposed. The approximation is based on a mathematical analysis considering the maximum allowable error as design parameter…”
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On the approximation of functions by tanh neural networks
ISSN: 0893-6080, 1879-2782, 1879-2782Published: Elsevier Ltd 01.11.2021Published in Neural networks (01.11.2021)“…We derive bounds on the error, in high-order Sobolev norms, incurred in the approximation of Sobolev-regular as well as analytic functions by neural networks with the hyperbolic tangent activation function…”
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Performance analysis of table-based approximations of the hyperbolic tangent activation function
ISBN: 9781612848563, 1612848567ISSN: 1548-3746Published: IEEE 01.08.2011Published in 2011 IEEE 54th International Midwest Symposium on Circuits and Systems (MWSCAS) (01.08.2011)“… The hyperbolic tangent activation function is the most popular, and many approaches exist to approximate it, with varying trade-offs between area utilization and delay…”
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Conference Proceeding -
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Symmetrized, Perturbed Hyperbolic Tangent-Based Complex-Valued Trigonometric and Hyperbolic Neural Network Accelerated Approximation
ISSN: 2227-7390, 2227-7390Published: Basel MDPI AG 01.05.2025Published in Mathematics (Basel) (01.05.2025)“…-parametrized hyperbolic tangent function, which is a sigmoid function. These accelerated approximations are pointwise and of the uniform norm…”
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Approximation results for neural network operators activated by sigmoidal functions
ISSN: 0893-6080, 1879-2782, 1879-2782Published: Kidlington Elsevier Ltd 01.08.2013Published in Neural networks (01.08.2013)“… The special cases of neural network operators activated by logistic, hyperbolic tangent, and ramp sigmoidal functions are considered…”
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Implementation of PWL and LUT based approximation for hyperbolic tangent activation function in VLSI
ISBN: 1479933570, 9781479933570Published: IEEE 01.04.2014Published in 2014 International Conference on Communication and Signal Processing : 3-5 April 2014 (01.04.2014)“… Good approximation scheme used results in efficient implementation of activation function…”
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