Search Results - Hyperbolic Tangent function Approximation

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  1. 1

    Complex-Valued Multivariate Neural Network (MNN) Approximation by Parameterized Half-Hyperbolic Tangent Function by Karateke, Seda

    ISSN: 2227-7390, 2227-7390
    Published: Basel MDPI AG 01.02.2025
    Published 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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    Journal Article
  2. 2

    Efficiently inaccurate approximation of hyperbolic tangent used as transfer function in artificial neural networks by Simos, T. E., Tsitouras, Ch

    ISSN: 0941-0643, 1433-3058
    Published: London Springer London 01.08.2021
    Published 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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    Journal Article
  3. 3

    Arbitrarily Accurate Spline Based Approximations for the Hyperbolic Tangent Function and Applications by Howard, Roy M.

    ISSN: 2349-5103, 2199-5796
    Published: New Delhi Springer India 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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    Journal Article
  4. 4

    Parametrized Half-Hyperbolic Tangent Function-Activated Complex-Valued Neural Network Approximation by Anastassiou, George A., Karateke, Seda

    ISSN: 2073-8994, 2073-8994
    Published: Basel MDPI AG 01.12.2024
    Published 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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    Journal Article
  5. 5

    Multivariate hyperbolic tangent neural network approximation by Anastassiou, George A.

    ISSN: 0898-1221, 1873-7668
    Published: Elsevier Ltd 01.02.2011
    “… Our multivariate operators are defined by using a multidimensional density function induced by the hyperbolic tangent function…”
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    Journal Article
  6. 6
  7. 7

    Approximations of Tangent Polynomials, Tangent –Bernoulli and Tangent – Genocchi Polynomials in terms of Hyperbolic Functions by Corcino, Cristina B., Corcino, Roberto B., Ontolan, Jay M.

    ISSN: 1110-757X, 1687-0042
    Published: New York Hindawi 29.11.2021
    Published 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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    Journal Article
  8. 8

    Univariate hyperbolic tangent neural network approximation by Anastassiou, George A.

    ISSN: 0895-7177, 1872-9479
    Published: Kidlington Elsevier Ltd 01.03.2011
    Published 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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    Journal Article
  9. 9
  10. 10

    Abstract Univariate Neural Network Approximation Using a q-Deformed and λ-Parametrized Hyperbolic Tangent Activation Function by Anastassiou, George A.

    ISSN: 2504-3110, 2504-3110
    Published: Basel MDPI AG 01.03.2023
    Published 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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    Journal Article
  11. 11

    The construction and approximation of feedforward neural network with hyperbolic tangent function by Chen, Zhi-xiang, Cao, Fei-long

    ISSN: 1005-1031, 1993-0445
    Published: Hangzhou Editorial Committee of 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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    Journal Article
  12. 12

    Abstract Univariate Neural Network Approximation Using a Iq/I-Deformed and Iλ/I-Parametrized Hyperbolic Tangent Activation Function by Anastassiou, George A

    ISSN: 2504-3110, 2504-3110
    Published: MDPI AG 01.02.2023
    Published 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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    Journal Article
  13. 13

    q-Deformed and L-parametrized hyperbolic tangent function relied complex valued multivariate trigonometric and hyperbolic neural network approximations

    ISSN: 2582-0818, 2582-0818
    Published: 31.12.2023
    Published 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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    Journal Article
  14. 14

    Hyperbolic Tangent Like Relied Banach Space Valued Neural Network Multivariate Approximations by Anastassiou, George A.

    ISSN: 1841-3307, 1841-3293, 1841-3307
    Published: Timisoara Sciendo 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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    Journal Article
  15. 15

    Efficient VLSI Implementation of Neural Networks With Hyperbolic Tangent Activation Function by Zamanlooy, Babak, Mirhassani, Mitra

    ISSN: 1063-8210, 1557-9999
    Published: IEEE 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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    Journal Article
  16. 16

    On the approximation of functions by tanh neural networks by De Ryck, Tim, Lanthaler, Samuel, Mishra, Siddhartha

    ISSN: 0893-6080, 1879-2782, 1879-2782
    Published: Elsevier Ltd 01.11.2021
    Published 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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    Journal Article
  17. 17

    Performance analysis of table-based approximations of the hyperbolic tangent activation function by Leboeuf, Karl, Muscedere, Roberto, Ahmadi, Majid

    ISBN: 9781612848563, 1612848567
    ISSN: 1548-3746
    Published: IEEE 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
  18. 18

    Symmetrized, Perturbed Hyperbolic Tangent-Based Complex-Valued Trigonometric and Hyperbolic Neural Network Accelerated Approximation by Anastassiou, George A.

    ISSN: 2227-7390, 2227-7390
    Published: Basel MDPI AG 01.05.2025
    Published 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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    Journal Article
  19. 19

    Approximation results for neural network operators activated by sigmoidal functions by Costarelli, Danilo, Spigler, Renato

    ISSN: 0893-6080, 1879-2782, 1879-2782
    Published: Kidlington Elsevier Ltd 01.08.2013
    Published 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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    Journal Article
  20. 20

    Implementation of PWL and LUT based approximation for hyperbolic tangent activation function in VLSI by Saranya, S., Elango, B.

    ISBN: 1479933570, 9781479933570
    Published: IEEE 01.04.2014
    “… Good approximation scheme used results in efficient implementation of activation function…”
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    Conference Proceeding