Search Results - Multivariate function approximation

Constructing Embedded Lattice-Based Algorithms for Multivariate Function Approximation with a Composite Number of Points

Authors: Kuo, Frances Y. Mo, Weiwen Nuyens, Dirk

Source: Constructive Approximation. 61:81-113

Subject Terms: 65D15, 65T40, FOS: Mathematics, Mathematics - Numerical Analysis, Numerical Analysis (math.NA), 0101 mathematics, 01 natural sciences

Access URL: http://arxiv.org/abs/2209.01002
https://lirias.kuleuven.be/handle/20.500.12942/734999
https://doi.org/10.48550/arxiv.2209.01002

Tensor-based multivariate function approximation: methods benchmarking and comparison

Authors: Antoulas, Athanasios C. Gosea, Ion Victor Poussot-Vassal, Charles et al.

Subject Terms: Computational Engineering, Finance, and Science (cs.CE), Software Engineering (cs.SE), FOS: Computer and information sciences, Computer Science - Software Engineering, FOS: Mathematics, Mathematics - Numerical Analysis, Numerical Analysis (math.NA), Computer Science - Computational Engineering, Finance, and Science, 93A15, 93A30, 93B11, 93B15, 93C05, 93C80

Access URL: http://arxiv.org/abs/2506.04791

An Adaptive Sampling and Domain Learning Strategy for Multivariate Function Approximation on Unknown Domains

Authors: Ben Adcock Juan M. Cardenas Nick Dexter

Source: SIAM Journal on Scientific Computing. 45:A200-A225

Subject Terms: FOS: Mathematics, Mathematics - Numerical Analysis, Numerical Analysis (math.NA), 0101 mathematics, 01 natural sciences

Access URL: http://arxiv.org/abs/2202.00144

Near-Optimal Sampling Strategies for Multivariate Function Approximation on General Domains

Authors: Juan M. Cardenas Ben Adcock

Source: SIAM Journal on Mathematics of Data Science. 2:607-630

Subject Terms: FOS: Mathematics, Mathematics - Numerical Analysis, Numerical Analysis (math.NA), 0101 mathematics, 01 natural sciences

Access URL: https://epubs.siam.org/doi/pdf/10.1137/19M1279459
http://arxiv.org/abs/1908.01249
https://epubs.siam.org/doi/pdf/10.1137/19M1279459
https://dblp.uni-trier.de/db/journals/corr/corr1908.html#abs-1908-01249
https://epubs.siam.org/doi/abs/10.1137/19M1279459

Application of Feedforward Neura Networks in Multivariate Function Approximation

Source: Statistics and Application. :1048-1059

Subject Terms: 0202 electrical engineering, electronic engineering, information engineering, 02 engineering and technology, 0101 mathematics, 01 natural sciences

Extending Universal Approximation to Fractional Function Spaces via Neural Network Operators

Authors: Santos, Rômulo Damasclin Chaves dos orcid:0000-0002-9482-

Subject Terms: Neural Network Operators, Stochastic Approximation, Fractional Calculus in Machine Learning, Multivariate Function Approximation

Relation: https://zenodo.org/records/14765634; oai:zenodo.org:14765634; https://doi.org/10.5281/zenodo.14765634

Availability: https://doi.org/10.5281/zenodo.14765634
https://zenodo.org/records/14765634

An Adaptive sampling and domain learning strategy for multivariate function approximation on unknown domains

Authors: Adcock, Ben Cardenas, Juan M. Dexter, Nick

Index Terms: Mathematics - Numerical Analysis, text

URL: http://arxiv.org/abs/2202.00144

Constructing Embedded Lattice-based Algorithms for Multivariate Function Approximation with a Composite Number of Points

Authors: Kuo, Frances Y. Mo, Weiwen Nuyens, Dirk

Index Terms: Mathematics - Numerical Analysis, 65D15, 65T40, text

URL: http://arxiv.org/abs/2209.01002

Approximation of infinitely differentiable multivariate functions is not strongly tractable

Authors: Fanglun Huang Shun Zhang

Source: Journal of Complexity. 23:73-81

Subject Terms: Statistics and Probability, Numerical Analysis, Tractability and strong tractability, Algebra and Number Theory, Control and Optimization, Information-based complexity, Applied Mathematics, 0101 mathematics, 01 natural sciences, Multivariate function approximation

Access URL: https://dblp.uni-trier.de/db/journals/jc/jc23.html#HuangZ07
https://core.ac.uk/display/82183120
https://www.sciencedirect.com/science/article/pii/S0885064X06000422
https://www.sciencedirect.com/science/article/abs/pii/S0885064X06000422

A Randomized Algorithm for Multivariate Function Approximation

Authors: Yeonjong Shin Dongbin Xiu

Source: SIAM Journal on Scientific Computing. 39:A983-A1002

Subject Terms: 0103 physical sciences, 0101 mathematics, 01 natural sciences

Access URL: https://epubs.siam.org/doi/abs/10.1137/16M1075193
http://dblp.uni-trier.de/db/journals/siamsc/siamsc39.html#ShinX17
https://dblp.uni-trier.de/db/journals/siamsc/siamsc39.html#ShinX17
https://locus.siam.org/doi/abs/10.1137/16M1075193

Correcting Data Corruption Errors for Multivariate Function Approximation

Authors: Yeonjong Shin Dongbin Xiu

Source: SIAM Journal on Scientific Computing. 38:A2492-A2511

Subject Terms: 0101 mathematics, 01 natural sciences

Guaranteed Automatic Integration Library (GAIL): An Open-Source MATLAB Library for Function Approximation, Optimization, and Integration

Authors: Xin Tong Sou-Cheng T. Choi Yuhan Ding et al.

Source: Journal of Open Research Software, Vol 10, Iss 1 (2022)

Subject Terms: univariate function approximation, multivariate integration, univariate optimization, adaptive, (quasi-)monte carlo, bayesian cubature, Computer software, QA76.75-76.765

File Description: electronic resource

Relation: https://openresearchsoftware.metajnl.com/articles/381; https://doaj.org/toc/2049-9647

Access URL: https://doaj.org/article/c5de74303c684c8592a54e522d1a87f2

Near-optimal sampling strategies for multivariate function approximation on general domains

Authors: Adcock, Ben Cardenas, Juan M.

Index Terms: Mathematics - Numerical Analysis, text

URL: http://arxiv.org/abs/1908.01249

Constructing Embedded Lattice-Based Algorithms for Multivariate Function Approximation with a Composite Number of Points.

Authors: Kuo, Frances Y. Mo, Weiwen Nuyens, Dirk

Source: Constructive Approximation; Feb2025, Vol. 61 Issue 1, p81-113, 33p

Subject Terms: COMPOSITE numbers, PRIME numbers, COMPOSITE construction, APPROXIMATION error, SPLINES

A novel piecewise multivariate function approximation method via universal matrix representation

Authors: Süha Tuna Burcu Tunga

Source: Journal of Mathematical Chemistry. 51:1784-1801

Subject Terms: 0103 physical sciences, 0101 mathematics, 01 natural sciences

Access URL: https://link.springer.com/article/10.1007/s10910-013-0179-y
https://link.springer.com/content/pdf/10.1007%2Fs10910-013-0179-y.pdf

AN ADAPTIVE SAMPLING AND DOMAIN LEARNING STRATEGY FOR MULTIVARIATE FUNCTION APPROXIMATION ON UNKNOWN DOMAINS.

Authors: ADCOCK, BEN CARDENAS, JUAN M. DEXTER, NICK

Source: SIAM Journal on Scientific Computing; 2023, Vol. 45 Issue 1, pA200-A225, 26p

Subject Terms: LEARNING strategies, SAMPLING (Process), LEAST squares, SMOOTHNESS of functions, POLYNOMIAL chaos, POLYNOMIAL approximation

A constructive method for multivariate function approximation by multilayer perceptrons

Authors: Shlomo Geva Joaquin Sitte

Source: IEEE Transactions on Neural Networks. 3:621-624

Subject Terms: 0209 industrial biotechnology, 0202 electrical engineering, electronic engineering, information engineering, 02 engineering and technology

Access URL: https://pubmed.ncbi.nlm.nih.gov/18276462

Enhanced function approximation and applications to image scaling: A new family of exponential sampling neural network Kantorovich operators.

Authors: Agrawal, P.N. Baxhaku, Behar Berisha, Artan

Source: Applied Soft Computing. Apr2025, Vol. 174, pN.PAG-N.PAG. 1p.

Subject Terms: Standard deviations, Integrable functions, Digital image processing, Asymptotic expansions, Multivariate analysis

Liberating the dimension for function approximation

Authors: Henryk Woniakowski Grzegorz W. Wasilkowski

Source: Journal of Complexity. 27:86-110

Subject Terms: Statistics and Probability, Optimal algorithms, Numerical Analysis, Algebra and Number Theory, Control and Optimization, Applied Mathematics, Tractability, Complexity, Path integration, 0101 mathematics, 01 natural sciences, Multivariate function approximation

Access URL: https://dblp.uni-trier.de/db/journals/jc/jc27.html#WasilkowskiW11
https://doi.org/10.1016/j.jco.2010.08.004
https://core.ac.uk/display/82616850
https://www.sciencedirect.com/science/article/pii/S0885064X10000889

Approximation of multivariate distribution functions / Margus Pihlak.

Authors: Pihlak, Margus.

Source: Bibliogr. s. 73-75.

Access URL: http://katalog.nukat.edu.pl/lib/item?id=chamo:1045827&theme=nukat

Degree: Praca doktorska. University of Tartu, 2006.