Výsledky vyhledávání - Algorithms for approximation of functions

An approximation theory framework for measure-transport sampling algorithms

Autoři: Baptista, Ricardo Hosseini, Bamdad Kovachki, Nikola B. a další

Zdroj: Mathematics of Computation. 94:1863-1909

Témata: Optimal transportation, transport map, generative models, Mathematics - Statistics Theory, 02 engineering and technology, Numerical Analysis (math.NA), Statistics Theory (math.ST), stability analysis, 01 natural sciences, Density estimation, Algorithms for approximation of functions, 0202 electrical engineering, electronic engineering, information engineering, FOS: Mathematics, Mathematics - Numerical Analysis, 0101 mathematics, approximation theory

Popis souboru: application/xml

Přístupová URL adresa: http://arxiv.org/abs/2302.13965

Effective by precision algorithms for approximation of functions from the Lipschitz class by Fourier’s series

Autoři: Olena Kolomys Liliya Luts

Zdroj: Physico-Mathematical Modelling and Informational Technologies. :111-115

Efficient Partition-of-Unity Radial-Basis-Function Interpolation for Coupled Problems: Efficient partition-of-unity radial-basis-function interpolation for coupled problems

Autoři: David Schneider Benjamin Uekermann

Zdroj: SIAM Journal on Scientific Computing. 47:B558-B582

Témata: partition-of-unity, Algorithms for approximation of functions, data mapping, radial-basis functions, Numerical interpolation, math software, high-performance computing, multiphysics coupling, Parallel numerical computation

Popis souboru: application/xml

Approximation of BV functions by neural networks: A regularity theory approach.

Autoři: Avelin, Benny Julin, Vesa

Zdroj: Analysis & Applications; Oct2025, Vol. 23 Issue 7, p1129-1179, 51p

Témata: FUNCTIONS of bounded variation, ARTIFICIAL neural networks, APPROXIMATION theory, MATHEMATICAL inequalities, OPTIMIZATION algorithms, LOCALIZATION theory, APPROXIMATION error

Effective by precision algorithms for approximation of functions from the Gelder class by Fourier’s series

Autoři: Olena Kolomys

Zdroj: Physico-mathematical modelling and informational technologies. :159-164

Témata: 0101 mathematics, 01 natural sciences

Přístupová URL adresa: http://www.fmmit.lviv.ua/index.php/fmmit/article/download/179/169

Efficient by Precision Algorithms for Approximating Functions from Some Classes by Fourier Series

Autoři: Olena Kolomys

Zdroj: Кібернетика та комп'ютерні технології, Iss 2, Pp 57-66 (2024)

Témata: function approximation, fourier series, fourier series coefficients, quadrature formulas, approximation error, Cybernetics, Q300-390

Popis souboru: electronic resource

Relation: http://cctech.org.ua/13-vertikalnoe-menyu-en/590-abstract-24-2-6-arte; https://doaj.org/toc/2707-4501; https://doaj.org/toc/2707-451X

Přístupová URL adresa: https://doaj.org/article/7ca48205b7ed416bb21787fa4a2e9b7b

An Efficient DE Sinc Function-Based Approximation Scheme for Non-Local Elliptic Boundary Value Problems.

Autoři: Kumari, Sharda Bin, Sudam Roy, Sourav a další

Zdroj: Computational Mathematics & Mathematical Physics. Aug2025, Vol. 65 Issue 8, p1996-2024. 29p.

Témata: *ORDINARY differential equations, *BOUNDARY value problems, *APPROXIMATION algorithms, *MATHEMATICAL optimization, *APPROXIMATION error, *WHITTAKER functions, *MATHEMATICAL functions

Algorithms for Nonlinear Piecewise Polynomial Approximation: Theoretical Aspects

Autoři: Karaivanov, Borislav Petrushev, Pencho Sharpley, Robert C.

Zdroj: Transactions of the American Mathematical Society, 2003 Jul 01. 355(7), 2585-2631.

Přístupová URL adresa: https://www.jstor.org/stable/1194719

Two dimensional pseudo-Chebyshev wavelets and their application in the theory of approximation of functions belonging to Hölders class

Autoři: Kumar, Susheel Mishra, Sudhir Kumar Awasthi, Aditya Kumar a další

Zdroj: Filomat, 2025 Jan 01. 39(26), 9303-9318.

Přístupová URL adresa: https://www.jstor.org/stable/27424397

An algorithm for discrete approximation by quasi-convex functions on Rm: An algorithm for discrete approximation by quasi-convex functions on \(R^m\)

Autoři: Vasant A. Ubhaya

Zdroj: Computers & Mathematics with Applications. 47:1707-1712

Témata: discrete approximation, computational complexity, Uniform norm, 0211 other engineering and technologies, 02 engineering and technology, quasi-convex function, Algorithm, Computational complexity, Best approximation, Chebyshev systems, Computational Mathematics, Computational Theory and Mathematics, Convex hulls, Algorithms for approximation of functions, Quasi-convex functions, Numerical aspects of computer graphics, image analysis, and computational geometry, Modelling and Simulation, 0202 electrical engineering, electronic engineering, information engineering, Best approximation, Discrete approximation, best approximation

Popis souboru: application/xml

Přístupová URL adresa: https://core.ac.uk/display/82398349
https://www.sciencedirect.com/science/article/pii/S0898122104839841

Smolyak's algorithm for weighted L1-approximation of multivariate functions with bounded rth mixed derivatives over ℝd: Smolyak's algorithm for weighted \(L_1\)-approximation of multivariate functions with bounded \(r\)th mixed derivatives over \(\mathbb R^d\)

Autoři: Piotr Gajda

Zdroj: Numerical Algorithms. 40:401-414

Témata: Spline approximation, Algorithms for approximation of functions, Multidimensional problems, Smolyak's algorithm, piecewise polynomial interpolation, 0101 mathematics, \(L_1\) approximation, unbounded domain, 01 natural sciences

Popis souboru: application/xml

Přístupová URL adresa: https://link.springer.com/content/pdf/10.1007/s11075-005-0411-3.pdf
https://dialnet.unirioja.es/servlet/articulo?codigo=1330644
https://link.springer.com/article/10.1007%2Fs11075-005-0411-3
https://ui.adsabs.harvard.edu/abs/2005NuAlg..40..401G/abstract
https://dblp.uni-trier.de/db/journals/na/na40.html#Gajda05

METHODS OF APPROXIMATION OF FUNCTIONS BY GENERALIZED POLYNOMIALS IN NUMERICAL ANALYSIS PROBLEMS RELATED TO CALCULATIONS ON APPROXIMATE DATA

Autoři: Igor Eduardovich Naats Victoria Igorevna Naats Elena Pavlovna Yartseva

Zdroj: Наука. Инновации. Технологии, Vol 0, Iss 3, Pp 53-64 (2022)

Témata: аппроксимация функции, обобщенные полиномы, регуляризирующие алгоритмы, сингулярные интегралы, вычислительный процесс, задачи прикладного анализа, function approximation, generalized polynomials, regularizing algorithms, singular integrals, computational process, applied analysis problems, Geography (General), G1-922

Popis souboru: electronic resource

Relation: https://scienceit.elpub.ru/jour/article/view/181; https://doaj.org/toc/2308-4758

Přístupová URL adresa: https://doaj.org/article/f7707fb9030c4f0cbe301e70553bf2b7

PSEUDO CHEBYSHEV WAVELETS IN TWO DIMENSIONS AND THEIR APPLICATIONS IN THE THEORY OF APPROXIMATION OF FUNCTIONS BELONGING TO LIPSCHITZ CLASS.

Autoři: Kumar, Susheel Mishra, Gaurav Kumar Mishra, Sudhir Kumar a další

Zdroj: South East Asian Journal of Mathematics & Mathematical Sciences; 2024, Vol. 20 Issue 2, p247-268, 22p

Témata: APPROXIMATION theory, ERROR functions, ORTHOGRAPHIC projection, APPROXIMATION error, ALGORITHMS

Smolyak's Algorithm for Integration and L 1-Approximation of Multivariate Functions with Bounded Mixed Derivatives of Second Order: Smolyak's algorithm for integration and \(L_1\)-approximation of multivariate functions with bounded mixed derivatives of second order

Autoři: Grzegorz W. Wasilkowski Leszek Plaskota

Zdroj: Numerical Algorithms. 36:229-246

Témata: Best approximation, Chebyshev systems, Algorithms for approximation of functions, multivariate integration, Numerical integration, Multidimensional problems, Smolyak's algorithm, 0211 other engineering and technologies, Multivariate approximation, 02 engineering and technology, 0101 mathematics, 01 natural sciences, Approximate quadratures

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/2128416
https://doi.org/10.1023/b:numa.0000040060.56819.a7
https://dblp.uni-trier.de/db/journals/na/na36.html#PlaskotaW04
https://ui.adsabs.harvard.edu/abs/2004NuAlg..36..229P/abstract
https://link.springer.com/article/10.1023/B:NUMA.0000040060.56819.a7
https://rd.springer.com/article/10.1023/B%3ANUMA.0000040060.56819.a7
https://dialnet.unirioja.es/servlet/articulo?codigo=966173

Development of a numerical method for solving optimization problems approximation of the function given approximately and its derivatives based on the variational approach

Autoři: Igor Naats Victoria Igorevna Naats Elena Yartseva

Zdroj: Наука. Инновации. Технологии, Vol 0, Iss 4, Pp 7-20 (2022)

Témata: аппроксимация функции, обобщенные полиномы, регуляризиру-ющие алгоритмы, сингулярные интегралы, вычислительный процесс, задачи прикладного анализа, function approximation, generalized polynomials, regularizing algorithms, singular integrals, computational process, applied analysis problems, Geography (General), G1-922

Popis souboru: electronic resource

Relation: https://scienceit.elpub.ru/jour/article/view/167; https://doaj.org/toc/2308-4758

Přístupová URL adresa: https://doaj.org/article/acff0ba85eb74b2587c17814d8c8024f

SOLVING THE INVERSE PROBLEM FOR FUNCTION/IMAGE APPROXIMATION USING ITERATED FUNCTION SYSTEMS II: ALGORITHM AND COMPUTATIONS: Solving the inverse problem for function/image approximation using iterated function systems. II: Algorithm and computations

Autoři: Bruno Forte Edward R. Vrscay

Zdroj: Fractals. :335-346

Témata: Algorithms for approximation of functions, Linear function spaces and their duals, quadratic programming, image representation, 0101 mathematics, Computing methodologies for image processing, 01 natural sciences, Approximation by other special function classes

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/1192784
https://doi.org/10.1142/s0218348x94000430
https://www.worldscientific.com/doi/10.1142/S0218348X94000430

Approximation of functions by a wavelet neural network built using a hybrid approach based on the genetic algorithm and the Gram-Schmidt Selection method.

Autoři: DAKHL, Abdesselem JEBALI, Maher AMAR, Chokri BEN

Zdroj: Procedia Computer Science. 2023, Vol. 225, p1083-1093. 11p.

Témata: Genetic algorithms, Wavelet transforms

Algorithms for trigonometric polynomial and rational approximation

Autoři: Javed, Mohsin Trefethen, Nick

Přispěvatelé: Javed, Mohsin Trefethen, Nick

Témata: 510, Mathematics, Approximation Theory, Numerical Algorithms, algorithms, numerical algorithms, periodic functions, Hermite integral formula, rational approximations

Přístupová URL adresa: https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.730457

An efficient algorithm for evaluation of derivatives of refinable scale functions.

Autoři: Singh, Debabrata Panja, Madan Mohan

Zdroj: Indian Journal of Pure & Applied Mathematics; Dec2025, Vol. 56 Issue 4, p1285-1292, 8p

Fast Kernel Summation in High Dimensions via Slicing and Fourier Transforms: Fast kernel summation in high dimensions via slicing and Fourier transforms

Autoři: Johannes Hertrich

Zdroj: SIAM Journal on Mathematics of Data Science. 6:1109-1137

Témata: FOS: Computer and information sciences, Computer Science - Machine Learning, Numerical radial basis function approximation, slicing, Numerical Analysis (math.NA), 01 natural sciences, Machine Learning (cs.LG), nonequispaced Fourier transforms, Algorithms for approximation of functions, fast kernel summation, FOS: Mathematics, Mathematics - Numerical Analysis, 0101 mathematics, Numerical methods for discrete and fast Fourier transforms

Popis souboru: application/xml

Přístupová URL adresa: http://arxiv.org/abs/2401.08260
https://zbmath.org/7960206
https://doi.org/10.1137/24m1632085