Suchergebnisse - Approximation by arbitrary nonlinear expressions

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

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

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

On a Problem of Gr�chenig About Nonlinear Approximation with Localized Frames: On a problem of Gröchenig about nonlinear approximation with localized frames

Autoren: Gribonval, Rémi Nielsen, Morten

Weitere Verfasser: Gribonval, Rémi Nielsen, Morten

Quelle: Gribonval, R & Nielsen, M 2004, 'Letter to the Editor : on a problem of Gröchenig about nonlinear approximation with localized frames', Journal of Fourier Analysis and Applications, vol. 10, no. 4, pp. 433-437.
Gribonval, R & Nielsen, M 2004, ' Letter to the Editor : on a problem of Gröchenig about nonlinear approximation with localized frames ', Journal of Fourier Analysis and Applications, vol. 10, no. 4, pp. 433-437 .

Schlagwörter: Bernstein inequality, [INFO.INFO-TS] Computer Science [cs]/Signal and Image Processing, frame, Approximation by arbitrary nonlinear expressions, widths and entropy, General harmonic expansions, frames, Nontrigonometric harmonic analysis involving wavelets and other special systems, redundant dictionary, 16. Peace & justice, 01 natural sciences, localized frame, Redundant dictionary, nonlinear approximation, Spline approximation, Jackson inequality, 0101 mathematics, Inequalities in approximation (Bernstein, Jackson, Nikol'skiĭ-type inequalities), [SPI.SIGNAL] Engineering Sciences [physics]/Signal and Image processing

Dateibeschreibung: application/xml; application/pdf

Zugangs-URL: https://hal.inria.fr/inria-00567340/file/2004_JFAA_GribonvalNielsen.pdf
https://vbn.aau.dk/da/publications/4ab3b820-2784-11db-8514-000ea68e967b
https://inria.hal.science/inria-00567340v1
https://doi.org/10.1007/s00041-004-3072-z
https://inria.hal.science/inria-00567340v1/document
https://vbn.aau.dk/da/publications/letter-to-the-editor(4ab3b820-2784-11db-8514-000ea68e967b).html
https://dialnet.unirioja.es/servlet/articulo?codigo=970742
https://link.springer.com/article/10.1007/s00041-004-3072-z
https://hal.inria.fr/inria-00567340
https://hal.inria.fr/inria-00567340/document
https://vbn.aau.dk/da/publications/letter-to-the-editor-on-a-problem-of-gröchenig-about-nonlinear-ap

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

Nonlinear Methods of Approximation: Nonlinear methods of approximation

Autoren: Vladimir Temlyakov

Quelle: Foundations of Computational Mathematics. 3:33-107

Schlagwörter: Summability and bases in topological vector spaces, \(m\)-term, Trigonometric approximation, Approximation by arbitrary nonlinear expressions, widths and entropy, Rate of convergence, degree of approximation, General harmonic expansions, frames, General theory of numerical analysis in abstract spaces, 01 natural sciences, Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.), Abstract approximation theory (approximation in normed linear spaces and other abstract spaces), Applications of functional analysis in numerical analysis, Algorithms for approximation of functions, Inner product spaces and their generalizations, Hilbert spaces, greedy, 0101 mathematics, Sobolev spaces and other spaces of ''smooth' functions, embedding theorems, trace theorems, entropy, Inequalities in approximation (Bernstein, Jackson, Nikol'skiĭ-type inequalities), dictionary

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/1942715
https://doi.org/10.1007/s102080010029

Restricted Nonlinear Approximation: Restricted nonlinear approximation

Autoren: Albert Cohen Ronald A. DeVore R. Hochmuth

Quelle: Constructive Approximation. 16:85-113

Schlagwörter: Besov spaces, \(K\)-functionals, Approximation by arbitrary nonlinear expressions, widths and entropy, Rate of convergence, degree of approximation, characterization of approximation classes, restricted approximation, 0101 mathematics, Inequalities in approximation (Bernstein, Jackson, Nikol'skiĭ-type inequalities), 01 natural sciences, nonlinear approximation

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/1419735
https://doi.org/10.1007/s003659910004
https://www.math.tamu.edu/~rdevore/publications/99.pdf
http://www.math.tamu.edu/~rdevore/publications/99.pdf
https://link.springer.com/article/10.1007/s003659910004

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

Projections and Non-Linear Approximation in the Space BV($\mathbb{R}^d$): Projections and nonlinear approximation in the space BV(\({\mathbb R}^d\))

Autoren: Przemysław Wojtaszczyk

Quelle: Proceedings of the London Mathematical Society. 87:471-497

Schlagwörter: Haar approximation, Approximation by arbitrary nonlinear expressions, widths and entropy, Multidimensional problems, bounded variation, projection, 0101 mathematics, 01 natural sciences

Dateibeschreibung: application/xml

Zugangs-URL: https://academic.oup.com/plms/article-abstract/87/2/471/1485646
https://dialnet.unirioja.es/servlet/articulo?codigo=2210404
https://londmathsoc.onlinelibrary.wiley.com/doi/pdf/10.1112/S0024611503014084

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

Continuous Algorithms in n-Term Approximation and Non-Linear Widths: Continuous algorithms in \(n\)-term approximation and nonlinear widths

Autoren: Dinh Dung

Quelle: Journal of Approximation Theory. 102:217-242

Schlagwörter: Mathematics(all), Numerical Analysis, \(n\)-term approximation, Applied Mathematics, Approximation by arbitrary nonlinear expressions, widths and entropy, \(n\)-widths, Rate of convergence, degree of approximation, Vallée Poussin kernel, Research exposition (monographs, survey articles) pertaining to approximations and expansions, 01 natural sciences, Besov spaces, Sobolev spaces, 0101 mathematics, Analysis

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/1423442
https://doi.org/10.1006/jath.1999.3399
https://www.sciencedirect.com/science/article/pii/S0021904599933993
https://www.sciencedirect.com/science/article/abs/pii/S0021904599933993
https://core.ac.uk/display/82599035

Nonlinear piecewise polynomial approximation beyond Besov spaces

Autoren: Pencho Petrushev Borislav Karaivanov

Quelle: Applied and Computational Harmonic Analysis. 15:177-223

Schlagwörter: multivariate splines, Courant elements, Jackson and Bernstein estimates, Applied Mathematics, Multivariate splines, Approximation by arbitrary nonlinear expressions, widths and entropy, nested irregular triangulation, 01 natural sciences, Redundant representations, nonlinear approximation, Nested irregular triangulations, Best approximation, Chebyshev systems, Spline approximation, 0101 mathematics, Nonlinear approximation, Inequalities in approximation (Bernstein, Jackson, Nikol'skiĭ-type inequalities), Interpolation in approximation theory

Dateibeschreibung: application/xml

Non-linear Approximations Using Sets of Finite Cardinality or Finite Pseudo-dimension: Nonlinear approximations using sets of finite cardinality or finite pseudo-dimension

Autoren: Dinh Dung

Quelle: Journal of Complexity. 17:467-492

Schlagwörter: Statistics and Probability, Numerical Analysis, Algebra and Number Theory, Control and Optimization, Applied Mathematics, Approximation by arbitrary nonlinear expressions, widths and entropy, widths, 0101 mathematics, 01 natural sciences

Dateibeschreibung: application/xml

Zugangs-URL: https://core.ac.uk/display/82213617
https://www.sciencedirect.com/science/article/abs/pii/S0885064X01905795
https://dblp.uni-trier.de/db/journals/jc/jc17.html#Dung01
https://doi.org/10.1006/jcom.2001.0579
https://www.sciencedirect.com/science/article/pii/S0885064X01905795

Nonlinear Approximation by Trigonometric Sums: Nonlinear approximation by trigonometric sums

Autoren: DeVore, R.A. Temlyakov, V.N.

Quelle: Journal of Fourier Analysis and Applications. 2:29-48

Schlagwörter: trigonometric sums, 510.mathematics, Harmonic analysis in several variables, \(L_ p\)-error, 4. Education, Approximation by arbitrary nonlinear expressions, widths and entropy, trigonometric polynomials, trigonometric approximation, 0101 mathematics, 01 natural sciences, Article, nonlinear approximation

Dateibeschreibung: application/xml; image/jpeg; application/pdf

Zugangs-URL: http://www.math.tamu.edu/~rdevore/publications/84.pdf
https://zbmath.org/1115802
https://doi.org/10.1007/s00041-001-4021-8
http://core.ac.uk/display/23846227
https://mosaic.math.tamu.edu/~rdevore/publications/84.pdf
https://www.math.tamu.edu/~rdevore/publications/84.pdf
https://link.springer.com/article/10.1007/s00041-001-4021-8
http://www.math.tamu.edu/~rdevore/publications/84.pdf

ON EXCHANGE ALGORITHM FOR NONLINEAR BEST CHEBYSHEV APPROXIMATION WITH LGH CONDITION: On exchange algorithm for nonlinear best Chebyshev approximation with LGH condition

Autoren: Guijing Xiong Dan Wei

Quelle: Acta Mathematica Scientia. 14:361-370

Schlagwörter: Best approximation, Chebyshev systems, Algorithms for approximation of functions, exchange algorithm for nonlinear approximants, Approximation by arbitrary nonlinear expressions, widths and entropy, 02 engineering and technology, 0204 chemical engineering, 01 natural sciences, 0105 earth and related environmental sciences

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/751213
https://www.sciencedirect.com/science/article/pii/S0252960218301243

Approximation by nonlinear integral operators in some modular function spaces

Autoren: BARDARO, Carlo J. MUSIELAK VINTI, Gianluca

Quelle: Annales Polonici Mathematici. 63:173-182

Schlagwörter: Integral operators, locally compact Hausdorff group, Haar measure, generalized Lipschitz condition, Modular spaces, Approximation by arbitrary nonlinear expressions, widths and entropy, modular spaces, Nonlinear integral operators, generalized lipschitz condition, 0101 mathematics, 16. Peace & justice, 01 natural sciences, Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)

Dateibeschreibung: application/xml

Zugangs-URL: https://www.impan.pl/shop/publication/transaction/download/product/109093?download.pdf
https://zbmath.org/874380
https://doi.org/10.4064/ap-63-2-173-182
https://www.impan.pl/get/doi/10.4064/ap-63-2-173-182
https://eudml.org/doc/262585
https://research.unipg.it/handle/11391/156328
http://matwbn.icm.edu.pl/ksiazki/apm/apm63/apm6326.pdf
http://yadda.icm.edu.pl/yadda/element/bwmeta1.element.bwnjournal-article-apmv63z2p173bwm
https://hdl.handle.net/11391/156328
http://journals.impan.gov.pl/ap/

Study of the best linear approximation of nonlinear systems with arbitrary inputs

Autoren: Wong, Hin Kwan Roland

Schlagwörter: 620, QA Mathematics, TA Engineering (General). Civil engineering (General)

Zugangs-URL: https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.582462