Results 1 to 10 of about 93,551 (286)
Homogeneous numerical cubature formulas of interpolatory type
Journal of Numerical Analysis and Approximation Theory, 2002 In this paper we construct homogeneous numerical cubature formulas based on some numerical multivariate interpolation schemes.
Gheorghe Coman, Maria Solomon
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Integrating Interpolation and Extrapolation: A Hybrid Predictive Framework for Supervised Learning
Applied SciencesIn the domain of supervised learning, interpolation and extrapolation serve as crucial methodologies for predicting data points within and beyond the confines of a given dataset, respectively. The efficacy of these methods is closely linked to the nature
Bo Jiang +4 more
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How to compute the constant term of a power of a Laurent polynomial efficiently [PDF]
, 2012 We present an algorithm for efficient computation of the constant term of a power of a multivariate Laurent polynomial. The algorithm is based on univariate interpolation, does not require the storage of intermediate data and can be easily parallelized ...
Metelitsyn, Pavel
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Reconstructing Rational Functions with $\texttt{FireFly}$
, 2019 We present the open-source $\texttt{C++}$ library $\texttt{FireFly}$ for the reconstruction of multivariate rational functions over finite fields. We discuss the involved algorithms and their implementation.
Klappert, Jonas, Lange, Fabian
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Multivariate interval interpolation
Journal of Computational and Applied Mathematics, 1978 AbstractThe problem of multivariate interval interpolation has been defined. Two algorithms for the computation of a multivariate interval interpolating polynomial have been proposed. The algorithms have been compared among themselves with respect to the number of interval arithmetic operations required to compute them and the width of the computed ...
Bhattacharjee, G.P., Majumder, K.L.
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MathematicsIn this article, we study the multivariate quantitative smooth approximation under differentiation of functions. The approximators here are multivariate neural network operators activated by the symmetrized and perturbed hyperbolic tangent activation ...
George A. Anastassiou
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Reduction of decision rule of multivariate interpolation and approximation method in the problem of data classification [PDF]
Компьютерные исследования и моделирование, 2016 This article explores a method of machine learning based on the theory of random functions. One of the main problems of this method is that decision rule of a model becomes more complicated as the number of training dataset examples increases.
Ivan Vladimirovich Kopylov
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BC_n-symmetric polynomials [PDF]
, 2004 We consider two important families of BC_n-symmetric polynomials, namely Okounkov's interpolation polynomials and Koornwinder's orthogonal polynomials.
Rains, Eric M.
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Stochastic collocation on unstructured multivariate meshes
, 2015 Collocation has become a standard tool for approximation of parameterized systems in the uncertainty quantification (UQ) community. Techniques for least-squares regularization, compressive sampling recovery, and interpolatory reconstruction are becoming ...
Narayan, Akil, Zhou, Tao
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Multivariate Refinable Interpolating Functions
Applied and Computational Harmonic Analysis, 1999 The author gives an algorithm for the construction of refinable interpolating functions for an arbitrary dilation matrix. This construction of refinable interpolating functions is an intermediate step in the construction of orthonormal wavelet bases and is of interest in its own right.
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