Approximation with neural networks activated by ramp sigmoids
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Publication:1958429
DOI10.1016/j.jat.2010.03.004zbMath1203.82069OpenAlexW1968562765MaRDI QIDQ1958429
Publication date: 29 September 2010
Published in: Journal of Approximation Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jat.2010.03.004
Neural nets applied to problems in time-dependent statistical mechanics (82C32) Neural nets and related approaches to inference from stochastic processes (62M45)
Related Items (22)
Approximation theorems for a family of multivariate neural network operators in Orlicz-type spaces ⋮ Approximation by max-product neural network operators of Kantorovich type ⋮ Max-product neural network and quasi-interpolation operators activated by sigmoidal functions ⋮ Multivariate neural network interpolation operators ⋮ Neural network interpolation operators activated by smooth ramp functions ⋮ Neural network operators: constructive interpolation of multivariate functions ⋮ Voronovskaja type theorems and high-order convergence neural network operators with sigmoidal functions ⋮ Asymptotic expansions and Voronovskaja type theorems for the multivariate neural network operators ⋮ Saturation classes for MAX-product neural network operators activated by sigmoidal functions ⋮ Modified neural network operators and their convergence properties with summability methods ⋮ Pointwise and uniform approximation by multivariate neural network operators of the max-product type ⋮ Quantitative estimates for neural network operators implied by the asymptotic behaviour of the sigmoidal activation functions ⋮ Fractional type multivariate neural network operators ⋮ Convergence for a family of neural network operators in Orlicz spaces ⋮ The topology of scale-free networks with an S-shaped nonlinear growth characteristic ⋮ Approximation results for neural network operators activated by sigmoidal functions ⋮ Multivariate neural network operators with sigmoidal activation functions ⋮ Approximation results in Orlicz spaces for sequences of Kantorovich MAX-product neural network operators ⋮ Interpolation by neural network operators activated by ramp functions ⋮ Convergence of a family of neural network operators of the Kantorovich type ⋮ Quantitative estimates involving K-functionals for neural network-type operators ⋮ Approximation by exponential sampling type neural network operators
Cites Work
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