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Approximation by inner functions [PDF]
Pacific Journal of Mathematics, 1969 Let L°°(T) denote the complex Banach algebra of (equivalence classes of) bounded measurable functions on the unit circle T, relative to Lebesgue measure m. The norm 11 /11» of an / in L^iT) is the essential supremum of |/| on T. The collection of all bounded holomorphic functions in the open unit disc U forms a Banach algebra which can be identified ...
Douglas, R. G., Rudin, Walter
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Approximate functional differencing
SERIEs, 2023 AbstractInference on common parameters in panel data models with individual-specific fixed effects is a classic example of Neyman and Scott’s (Econometrica 36:1–32, 1948) incidental parameter problem (IPP). One solution to this IPP is functional differencing (Bonhomme in Econometrica 80(4):1337–1385, 2012), which works when the number of time ...
Geert Dhaene, Martin Weidner
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Rational approximation of discrete data with asymptomatic behaviour [PDF]
This thesis is concerned with the least-squares approximation of discrete data that appear to exhibit asymptotic behaviour. In particular, we consider using rational functions as they are able to display a number of types of asymptotic behaviour.
Cooper, Philip
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Моделирование и анализ информационных систем, 2021 Let $G_{k}$ be defined as $G_{k} = \langle a, b;\ a^{-1}ba = b^{k} \rangle$, where $k \ne 0$. It is known that, if $p$ is some prime number, then $G_{k}$ is residually a finite $p$-group if and only if $p \mid k - 1$. It is also known that, if $p$ and $q$
Elena Alexandrovna Tumanova
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Dual Taylor Series, Spline Based Function and Integral Approximation and Applications
Mathematical and Computational Applications, 2019 In this paper, function approximation is utilized to establish functional series approximations to integrals. The starting point is the definition of a dual Taylor series, which is a natural extension of a Taylor series, and spline based series ...
Roy M. Howard
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Multiple Function Approximation — A New Approach Using Asymmetric Complex Fuzzy Inference System [PDF]
Vietnam Journal of Computer Science, 2019 This paper proposes an asymmetric complex fuzzy inference system (ACFIS) that improves a conventional fuzzy inference system (FIS) in two ways. First, the proposed model uses the novel neural-net-like aim–object parts, making the model flexible, in terms
Chia-Hao Tu, Chunshien Li
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Informatyka, Automatyka, Pomiary w Gospodarce i Ochronie Środowiska, 2023 Artificial neural networks are essential intelligent tools for various learning tasks. Training them is challenging due to the nature of the data set, many training weights, and their dependency, which gives rise to a complicated high-dimensional error ...
Saithip Limtrakul +1 more
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An efficient hardware architecture for a neural network activation function generator [PDF]
, 2006 This paper proposes an efficient hardware architecture for a function generator suitable for an artificial neural network (ANN). A spline-based approximation function is designed that provides a good trade-off between accuracy and silicon area, whilst ...
Daniel Larkin +8 more
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Наука. Инновации. Технологии, 2022 Introduction: the presented work continues the authors' research on the methods of the theory of approximation of functions of a real variable, given approximately, on the basis of their representation by integrals. Materials and methods of research: the
Igor Naats +2 more
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Simple Case Study on Radius of Radial Basis Function Network for Sequential Approximate Optimization
SICE Journal of Control, Measurement, and System Integration, 2017 Radial basis function (RBF) networks are used for various research field. Especially, they make handling easy for classification and function approximation due to their mathematical form.
Yoshiaki Katada
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