Suchergebnisse - "Approximation by arbitrary nonlinear expressions"

A New Analysis of Empirical Interpolation Methods and Chebyshev Greedy Algorithms: A new analysis of empirical interpolation methods and Chebyshev greedy algorithms

Autoren: Li, Yuwen

Quelle: SIAM Journal on Numerical Analysis. 63:931-948

Schlagwörter: reduced basis greedy algorithm, 41A46, 41A65, 65J05, 65M12, Approximation by arbitrary nonlinear expressions, widths and entropy, Numerical Analysis (math.NA), General theory of numerical analysis in abstract spaces, metric entropy numbers, 01 natural sciences, parametrized PDE, Abstract approximation theory (approximation in normed linear spaces and other abstract spaces), dictionary approximation, empirical interpolation method, Chebyshev greedy algorithm, FOS: Mathematics, Mathematics - Numerical Analysis, 0101 mathematics, Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs

Dateibeschreibung: application/xml

Zugangs-URL: http://arxiv.org/abs/2401.13985

Compositional Maps for Registration in Complex Geometries: Compositional maps for registration in complex geometries

Autoren: Taddei T

Quelle: SIAM Journal on Scientific Computing. 47:B220-B251

Schlagwörter: model order reduction, registration in bounded domains, Approximation by arbitrary nonlinear expressions, widths and entropy, FOS: Mathematics, parameterized partial differential equations, Mathematics - Numerical Analysis, Numerical Analysis (math.NA), Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, 41A46, 65N30, 90C26, 35L02, Nonconvex programming, global optimization, First-order hyperbolic equations

Dateibeschreibung: application/xml

Zugangs-URL: http://arxiv.org/abs/2308.15307

Approximation Bounds for Model Reduction on Polynomially Mapped Manifolds: Approximation bounds for model reduction on polynomially mapped manifolds

Autoren: Patrick Buchfink Silke Glas Bernard Haasdonk

Quelle: Comptes Rendus. Mathématique, Vol 362, Iss G13, Pp 1881-1891 (2024)

Schlagwörter: polynomial mappings, polynomial \((n,p)\)-widths, Approximation by arbitrary nonlinear expressions, widths and entropy, polynomial $(n,p)$-widths, Numerical Analysis (math.NA), Abstract approximation theory (approximation in normed linear spaces and other abstract spaces), model order reduction, Approximation by arbitrary linear expressions, QA1-939, FOS: Mathematics, Model Order Reduction, Mathematics - Numerical Analysis, 41A45, 41A46, 41A65, 65L70, 65M15, 65N15, nonlinear manifolds, Mathematics

Dateibeschreibung: application/xml

Zugangs-URL: http://arxiv.org/abs/2312.00724
https://zbmath.org/7962937
https://doi.org/10.5802/crmath.632
https://doaj.org/article/f09aa9efd6ea49c6a9e07db702060c8f
https://research.utwente.nl/en/publications/b064ea0e-9f48-411c-bf6c-8e1ccd77d61f

An iterative method for the solution of Laplace-like equations in high and very high space dimensions

Autoren: Yserentant, Harry

Quelle: Numerische Mathematik. 156:777-811

Schlagwörter: convergence, boundary value problems, 500 Naturwissenschaften und Mathematik::510 Mathematik::510 Mathematik, Numerical Analysis (math.NA), stability, numerical approximation of high-dimensional functions, multidimensional problems, 01 natural sciences, 41A46, 41A63, 65D40, 65N12, numerical methods, FOS: Mathematics, approximation by arbitrary nonlinear expressions, Mathematics - Numerical Analysis, 0101 mathematics, PDEs

Zugangs-URL: http://arxiv.org/abs/2403.00682

An iterative method for the solution of Laplace-like equations in high and very high space dimensions

Autoren: Yserentant, Harry

Schlagwörter: 500 Naturwissenschaften und Mathematik::510 Mathematik::510 Mathematik, approximation by arbitrary nonlinear expressions, multidimensional problems, numerical approximation of high-dimensional functions, stability, numerical methods, PDEs, boundary value problems, convergence

Dateibeschreibung: application/pdf

Verfügbarkeit: https://depositonce.tu-berlin.de/handle/11303/23801
https://doi.org/10.14279/depositonce-22614

Twenty-five years of greedy bases

Autoren: Fernando Albiac José L. Ansorena Vladimir Temlyakov et al.

Weitere Verfasser: Fernando Albiac José L. Ansorena Vladimir Temlyakov et al.

Quelle: Academica-e. Repositorio Institucional de la Universidad Pública de Navarra
Universidad Pública de Navarra
Dialnet CRIS Repositorio institucional de la Universidad de La Rioja
instname
RIUR. Repositorio Institucional de la Universidad de La Rioja
Universidad de La Rioja (UR)

Schlagwörter: 41A65 (Primary) 41A25, 41A46, 41A17, 46B15 (Secondary), Approximation by arbitrary nonlinear expressions, widths and entropy, Summability and bases, functional analytic aspects of frames in Banach and Hilbert spaces, Rate of convergence, degree of approximation, And quasi-greedy basis, nonlinear approximation, Functional Analysis (math.FA), Mathematics - Functional Analysis, and quasi-greedy basis, Abstract approximation theory (approximation in normed linear spaces and other abstract spaces), FOS: Mathematics, greedy, Thresholding greedy algorithm, Almost greedy, thresholding greedy algorithm, Greedy, Nonlinear approximation, Inequalities in approximation (Bernstein, Jackson, Nikol'skiĭ-type inequalities), almost greedy

Dateibeschreibung: application/pdf; application/xml

Zugangs-URL: http://arxiv.org/abs/2405.20939
https://academica-e.unavarra.es/handle/2454/53645
https://ur.portalcientifico.es/documentos/67842b2c05ff3328ea835bac
https://investigacion.unirioja.es/documentos/67842b2c05ff3328ea835bac

Local randomized neural networks with finite difference methods for interface problems

Autoren: Yunlong Li Fei Wang

Quelle: Journal of Computational Physics. 529:113847

Schlagwörter: space-time approach, finite difference, Finite difference methods for initial value and initial-boundary value problems involving PDEs, high-dimensional problems, Approximation by arbitrary nonlinear expressions, widths and entropy, interface problems, randomized neural networks, Artificial neural networks and deep learning

Dateibeschreibung: application/xml

Lower bounds for the error decay incurred by coarse quantization schemes

Autoren: Krahmer, Felix Ward, Rachel

Weitere Verfasser: Krahmer, Felix Ward, Rachel

Quelle: Applied and Computational Harmonic Analysis. 32:131-138

Schlagwörter: FOS: Computer and information sciences, Information and communication, Applied Mathematics, Computer Science - Information Theory, Information Theory (cs.IT), 02 engineering and technology, Rate of convergence, Probability theory – combinatorial probability, Dynamical systems in applications, Circuits, Degree of approximation, Approximation by arbitrary nonlinear expressions, 0202 electrical engineering, electronic engineering, information engineering, Widths and entropy, Best constants, 37N99, 41A25, 41A44, 41A46, 42A61, 60C05, 94C99, Harmonic analysis on Euclidean spaces – probabilistic methods

Zugangs-URL: http://arxiv.org/abs/1004.3517
https://dblp.uni-trier.de/db/journals/corr/corr1004.html#abs-1004-3517
https://arxiv.org/pdf/1004.3517v1
https://ui.adsabs.harvard.edu/abs/2010arXiv1004.3517K/abstract
http://na.math.uni-goettingen.de/pdf/KW10.pdf
https://www.sciencedirect.com/science/article/pii/S1063520311000789
https://arxiv.org/abs/1004.3517
https://resolver.sub.uni-goettingen.de/purl?gro-2/121237

On exact values of quasiwidths for some classes of differentiable periodic functions of two variables

Autoren: M. O. Akobirshoev M. Sh. Shabozov

Quelle: Ukrainian Mathematical Journal. 61:1013-1024

Schlagwörter: Kolmogorov width, differentiable periodic function, linear quasiwidth, Approximation by arbitrary nonlinear expressions, widths and entropy, 0101 mathematics, 01 natural sciences

Dateibeschreibung: application/xml

Zugangs-URL: https://link.springer.com/article/10.1007/s11253-009-0251-8

Greedy algorithm for functions with low mixed smoothness

Autoren: Heping Wang

Quelle: Journal of Approximation Theory. 137:264-276

Schlagwörter: Mathematics(all), Numerical Analysis, Applied Mathematics, Approximation by arbitrary nonlinear expressions, widths and entropy, Rate of convergence, degree of approximation, low smoothness, 01 natural sciences, greedy algorithm, wavelet- type bases, Greedy algorithm, Wavelet-type basis, Sobolev class, 0101 mathematics, Analysis, Functions with low mixed smoothness

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/2244669
https://doi.org/10.1016/j.jat.2005.09.012
https://dblp.uni-trier.de/db/journals/jat/jat137.html#Wang05
https://www.sciencedirect.com/science/article/pii/S0021904505001929
https://dialnet.unirioja.es/servlet/articulo?codigo=1361595
https://core.ac.uk/display/82688016

Some results concerning proximinality and co-proximinality

Autoren: S.M.S. Modarres Hamid Mazaheri

Quelle: Nonlinear Analysis: Theory, Methods & Applications. 62:1123-1126

Schlagwörter: Best approximation, Chebyshev systems, best co-approximation, Approximation by arbitrary nonlinear expressions, widths and entropy, 0211 other engineering and technologies, Chebyshev subspace, 02 engineering and technology, 0101 mathematics, Classical Banach spaces in the general theory, best approximation, 01 natural sciences, Uniqueness of best approximation, co-proximinal subspace

Dateibeschreibung: application/xml

Zugangs-URL: https://www.sciencedirect.com/science/article/abs/pii/S0362546X05004797

On the equivalence of brushlet and wavelet bases

Autoren: Nielsen, Morten Borup, Lasse

Quelle: Nielsen, M & Borup, L 2005, 'On the equivalence of brushlet and wavelet bases', Journal of Mathematical Analysis and Applications, vol. 309, no. 1, pp. 117-135.
Nielsen, M & Borup, L 2005, ' On the equivalence of brushlet and wavelet bases ', Journal of Mathematical Analysis and Applications, vol. 309, no. 1, pp. 117-135 .

Schlagwörter: Applied Mathematics, Approximation by arbitrary nonlinear expressions, widths and entropy, brushlets, Brushlets, Triebel–Lizorkin space, Nontrigonometric harmonic analysis involving wavelets and other special systems, Wavelets, equivalent bases, wavelets, 01 natural sciences, nonlinear approximation, Triebel-Lizorkin space, Equivalent bases, 0101 mathematics, Nonlinear approximation, Sobolev spaces and other spaces of ''smooth' functions, embedding theorems, trace theorems, Besov space, Analysis

Dateibeschreibung: application/xml

Zugangs-URL: https://vbn.aau.dk/da/publications/b7610f60-8d81-11da-8c84-000ea68e967b
https://core.ac.uk/display/82257587
http://ui.adsabs.harvard.edu/abs/2005JMAA..309..117B/abstract
https://www.sciencedirect.com/science/article/pii/S0022247X04010418
https://vbn.aau.dk/da/publications/on-the-equivalence-of-brushlet-and-wavelet-bases(b7610f60-8d81-11da-8c84-000ea68e967b).html
http://www.sciencedirect.com/science/article/pii/S0022247X04010418

On the Orders of Nonlinear Approximations for Classes of Functions of Given Form: On the orders of nonlinear approximations for classes of functions of given form

Autoren: V. N. Konovalov

Quelle: Mathematical Notes. 78:88-104

Schlagwörter: Approximation by rational functions, Spline approximation, pseudodimension, Approximation by arbitrary nonlinear expressions, widths and entropy, rational functions, splines, 0102 computer and information sciences, 0101 mathematics, 01 natural sciences, nonlinear approximation

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/2239725
https://doi.org/10.1007/s11006-005-0102-3
https://rd.springer.com/article/10.1007%2Fs11006-005-0102-3
https://link.springer.com/content/pdf/10.1007/s11006-005-0102-3.pdf
https://link.springer.com/article/10.1007/s11006-005-0102-3

Generalized Approximate Weak Greedy Algorithms: Generalized approximate weak greedy algorithms

Autoren: Vladimir V. Galatenko E. D. Livshits

Quelle: Mathematical Notes. 78:170-184

Schlagwörter: matching pursuit, convergence, pure greedy algorithms, Algorithms for approximation of functions, orthonormal system in Hilbert space, Approximation by arbitrary nonlinear expressions, widths and entropy, 0101 mathematics, General theory of numerical analysis in abstract spaces, 01 natural sciences, nonlinear approximation, dictionary

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/2239736
https://doi.org/10.1007/s11006-005-0113-0
https://link.springer.com/article/10.1007/s11006-005-0113-0

Best Approximations and Widths of Classes of Convolutions of Periodic Functions of High Smoothness: Best approximations and widths of classes of convolutions of periodic functions of high smoothness

Autoren: A. S. Serdyuk

Quelle: Ukrainian Mathematical Journal. 57:1120-1148

Schlagwörter: Best approximation, Chebyshev systems, Bernstein widths, Kolmogorov widths, Approximation by arbitrary nonlinear expressions, widths and entropy, periodic function, 0101 mathematics, linear widths, best approximation, 01 natural sciences

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/5042051
https://doi.org/10.1007/s11253-005-0251-2
https://link.springer.com/article/10.1007/s11253-005-0251-2

Comparison theorems of Kolmogorov type and exact values of 𝑛-widths on Hardy–Sobolev classes: Comparison theorems of Kolmogorov type and exact values of \(n\)-widths on Hardy-Sobolev classes

Autoren: Xuehua Li Gensun Fang

Quelle: Mathematics of Computation. 75:241-258

Schlagwörter: analytic functions, Landau-Kolmogorov inequality, \(n\)-width, Approximation by arbitrary nonlinear expressions, widths and entropy, Hardy-Sobolev class, 0101 mathematics, Approximation in the complex plane, 01 natural sciences, \(H^p\)-classes

Dateibeschreibung: application/xml

Zugangs-URL: https://www.ams.org/mcom/2006-75-253/S0025-5718-05-01765-5/S0025-5718-05-01765-5.pdf
https://zbmath.org/2237940
https://doi.org/10.1090/s0025-5718-05-01765-5
https://dblp.uni-trier.de/db/journals/moc/moc75.html#FangL06
https://doi.org/10.1090/S0025-5718-05-01765-5
https://www.ams.org/mcom/2006-75-253/S0025-5718-05-01765-5/S0025-5718-05-01765-5.pdf
http://ui.adsabs.harvard.edu/abs/2006MaCom..75..241F/abstract
https://www.ams.org/journals/mcom/2006-75-253/S0025-5718-05-01765-5/home.html

Approximation on anisotropic Besov classes with mixed norms by standard information

Autoren: Gensun Fang Huan Li Fred J. Hickernell

Quelle: Journal of Complexity. 21:294-313

Schlagwörter: Statistics and Probability, Numerical optimization and variational techniques, Numerical Analysis, Algebra and Number Theory, Control and Optimization, Applied Mathematics, Approximation by arbitrary nonlinear expressions, widths and entropy, Approximation in the complex plane, Exact order, 01 natural sciences, Interpolation, Abstract approximation theory (approximation in normed linear spaces and other abstract spaces), Information-based complexity, Optimal recovery, 0101 mathematics

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/2184152
https://doi.org/10.1016/j.jco.2004.09.004
https://dblp.uni-trier.de/db/journals/jc/jc21.html#FangHL05
https://doi.org/10.1016/j.jco.2005.01.001
https://www.sciencedirect.com/science/article/abs/pii/S0885064X05000038
https://core.ac.uk/display/82617593
https://www.sciencedirect.com/science/article/pii/S0885064X05000038

On the representation of smooth functions on the sphere using finitely many bits

Autoren: Hrushikesh N. Mhaskar

Quelle: Applied and Computational Harmonic Analysis. 18:215-233

Schlagwörter: Signal theory (characterization, reconstruction, filtering, etc.), Metric entropy, Approximation on the sphere, Applied Mathematics, Approximation by arbitrary nonlinear expressions, widths and entropy, Approximation by operators (in particular, by integral operators), polynomial frames, General harmonic expansions, frames, metric entropy, 01 natural sciences, Local Besov spaces, approximation on the sphere, Polynomial frames, 0101 mathematics, Sobolev spaces and other spaces of ''smooth' functions, embedding theorems, trace theorems

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/2175611
https://doi.org/10.1016/j.acha.2004.11.004
https://www.sciencedirect.com/science/article/abs/pii/S1063520304000831
https://www.sciencedirect.com/science/article/pii/S1063520304000831
https://core.ac.uk/display/82774122

Information-based nonlinear approximation: an average case setting

Autoren: Leszek Plaskota Mark A. Kon

Quelle: Journal of Complexity. 21:211-229

Schlagwörter: Statistics and Probability, Numerical Analysis, average case, Algebra and Number Theory, Control and Optimization, Applied Mathematics, Approximation by arbitrary nonlinear expressions, widths and entropy, 01 natural sciences, nonlinear approximation, Spline approximation, information-based complexity, Information-based complexity, Average case error, 0101 mathematics, Nonlinear approximation, Wiener measure

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/2160149
https://doi.org/10.1016/j.jco.2004.11.001
http://math.bu.edu/people/mkon/rrrr3.pdf
https://dblp.uni-trier.de/db/journals/jc/jc21.html#KonP05
https://www.sciencedirect.com/science/article/pii/S0885064X04001037
https://www.sciencedirect.com/science/article/abs/pii/S0885064X04001037
https://drops.dagstuhl.de/opus/volltexte/2005/150/pdf/04401.PlaskotaLeszek.ExtAbstract.150.pdf
https://doi.org/10.1016/j.jco.2004.11.001

Approximation by local trigonometric splines

Autoren: Valerii Trifonovich Shevaldin K. V. Kostousov

Quelle: Mathematical Notes. 77:326-334

Schlagwörter: Spline approximation, Approximation by arbitrary nonlinear expressions, widths and entropy, widths, monotonicity preservation, 0101 mathematics, 01 natural sciences, spline approximation, Kolmogorov and Konovalov widths

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/2203048
https://doi.org/10.1007/s11006-005-0033-z
https://link.springer.com/article/10.1007/s11006-005-0033-z