Suchergebnisse - Multivariate function approximation

  1. 1

    Newton–Padé approximations for multivariate functions von Akal, C., Lukashov, A.

    ISSN: 0096-3003
    Veröffentlicht: Elsevier Inc 01.10.2018
    Veröffentlicht in Applied mathematics and computation (01.10.2018)
    “… We modify Cuyt and Verdonk’s approach to multivariate Newton–Padé approximations. Explicit formulas are given for coefficients which can be computed once …”
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  2. 2

    Constructing Embedded Lattice-Based Algorithms for Multivariate Function Approximation with a Composite Number of Points von Kuo, Frances Y., Mo, Weiwen, Nuyens, Dirk

    ISSN: 0176-4276, 1432-0940
    Veröffentlicht: New York Springer US 01.02.2025
    Veröffentlicht in Constructive approximation (01.02.2025)
    “… We approximate d -variate periodic functions in weighted Korobov spaces with general weight parameters using n function values at lattice points …”
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  3. 3

    Reinforcement learning control with function approximation via multivariate simplex splines von Feng, Yiting, Zhou, Ye, Ho, Hann Woei, Mat Isa, Nor Ashidi

    ISSN: 0890-6327, 1099-1115
    Veröffentlicht: Bognor Regis Wiley Subscription Services, Inc 01.10.2025
    “… Summary In the field of optimal control for continuous nonlinear systems, function approximation methods are often employed to overcome the curse of dimensionality …”
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  4. 4

    A Positive Semidefinite Safe Approximation of Multivariate Distributionally Robust Constraints Determined by Simple Functions: A Positive Semidefinite Safe Approximation of Multivariate von Dienstbier, Jana, Liers, Frauke, Rolfes, Jan

    ISSN: 0022-3239, 1573-2878
    Veröffentlicht: New York Springer US 02.09.2025
    Veröffentlicht in Journal of optimization theory and applications (02.09.2025)
    “… Based on such a semi-infinite reformulation, we present a safe approximation that allows for the computation of feasible solutions for DROs that depend on nonconvex multivariate simple functions …”
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  5. 5

    Multivariate function approximations using the D-MORPH algorithm von Chakraborty, Souvik, Chowdhury, Rajib

    ISSN: 0307-904X
    Veröffentlicht: Elsevier Inc 01.12.2015
    Veröffentlicht in Applied mathematical modelling (01.12.2015)
    “… In this study, we propose a new method for approximating multivariate functions based on the diffeomorphic modulation under observable response preserving homotopy (D-MORPH) algorithm …”
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  6. 6

    Adaptive Cross Approximation of Multivariate Functions von Bebendorf, M.

    ISSN: 0176-4276, 1432-0940
    Veröffentlicht: New York Springer-Verlag 01.10.2011
    Veröffentlicht in Constructive approximation (01.10.2011)
    “… In this article we present and analyze a new scheme for the approximation of multivariate functions ( d =3,4 …”
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  7. 7

    Faster approximation to multivariate functions by combined Bernstein-Taylor operators von Duman, Oktay

    ISSN: 2391-4661, 2391-4661
    Veröffentlicht: De Gruyter 26.05.2025
    Veröffentlicht in Demonstratio mathematica (26.05.2025)
    “… In this article, we incorporate multivariate Taylor polynomials into the definition of the Bernstein operators to get a faster approximation to multivariate functions by these combined operators …”
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  8. 8

    Constructive Approximation to Multivariate Function by Decay RBF Neural Network von Hou, Muzhou, Han, Xuli

    ISSN: 1045-9227, 1941-0093, 1941-0093
    Veröffentlicht: New York, NY IEEE 01.09.2010
    Veröffentlicht in IEEE transactions on neural networks (01.09.2010)
    “… + 1 hidden neurons can interpolate n + 1 multivariate samples with zero error. Then we prove that the given decay RBFs can uniformly approximate any continuous multivariate functions with arbitrary precision without training …”
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  9. 9

    A novel piecewise multivariate function approximation method via universal matrix representation von Tuna, Süha, Tunga, Burcu

    ISSN: 0259-9791, 1572-8897
    Veröffentlicht: Dordrecht Springer Netherlands 01.08.2013
    Veröffentlicht in Journal of mathematical chemistry (01.08.2013)
    “… This method brings up a finite expansion to represent a multivariate function in terms of less-variate functions with the assistance of univariate support functions …”
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  10. 10

    Approximation of multivariate function by using new multivariate Bernstein α-polynomials von Hou, Zai-En, Zhang, Ke-Cun

    ISSN: 0096-3003, 1873-5649
    Veröffentlicht: New York, NY Elsevier Inc 05.07.2004
    Veröffentlicht in Applied mathematics and computation (05.07.2004)
    “… In this paper the approximation of multivariate function by using multivariate Bernstein α …”
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  11. 11

    Shape preserving approximation for unbounded multivariate functions von Kareem, Mayada Ali, Kamel, Rehab Amer, Hussain, Ahmed Hadi

    ISSN: 0972-0502, 2169-012X
    Veröffentlicht: Taylor & Francis 18.08.2022
    Veröffentlicht in Journal of interdisciplinary mathematics (18.08.2022)
    “… The purpose of this research is to present a new method for creating polynomials and spline approximation to unbounded multivariate functions in L ρ , β ([-1, 1 …”
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  12. 12

    Approximation of multivariate periodic functions by trigonometric polynomials based on rank-1 lattice sampling von Kämmerer, Lutz, Potts, Daniel, Volkmer, Toni

    ISSN: 0885-064X, 1090-2708
    Veröffentlicht: Elsevier Inc 01.08.2015
    Veröffentlicht in Journal of Complexity (01.08.2015)
    “… In this paper, we present algorithms for the approximation of multivariate periodic functions by trigonometric polynomials …”
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  13. 13

    Complex-Valued Multivariate Neural Network (MNN) Approximation by Parameterized Half-Hyperbolic Tangent Function von Karateke, Seda

    ISSN: 2227-7390, 2227-7390
    Veröffentlicht: Basel MDPI AG 01.02.2025
    Veröffentlicht in Mathematics (Basel) (01.02.2025)
    “… This paper deals with a family of normalized multivariate neural network (MNN) operators of complex-valued continuous functions for a multivariate context on a box of RN¯, N¯∈N …”
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  14. 14

    Efficient randomized tensor-based algorithms for function approximation and low-rank kernel interactions von Saibaba, Arvind K., Minster, Rachel, Kilmer, Misha E.

    ISSN: 1019-7168, 1572-9044
    Veröffentlicht: New York Springer US 01.10.2022
    Veröffentlicht in Advances in computational mathematics (01.10.2022)
    “… In this paper, we introduce a method for multivariate function approximation using function evaluations, Chebyshev polynomials, and tensor-based compression techniques via the Tucker format …”
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  15. 15

    Low dimensional approximation and generalization of multivariate functions on smooth manifolds using deep ReLU neural networks von Labate, Demetrio, Shi, Ji

    ISSN: 0893-6080, 1879-2782, 1879-2782
    Veröffentlicht: United States Elsevier Ltd 01.06.2024
    Veröffentlicht in Neural networks (01.06.2024)
    “… The expressive power of deep neural networks is manifested by their remarkable ability to approximate multivariate functions in a way that appears to overcome the curse of dimensionality …”
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  16. 16

    Solving numerically nonlinear systems of balance laws by multivariate sigmoidal functions approximation von Costarelli, Danilo, Spigler, Renato

    ISSN: 0101-8205, 2238-3603, 1807-0302
    Veröffentlicht: Cham Springer International Publishing 01.03.2018
    Veröffentlicht in Computational & applied mathematics (01.03.2018)
    “… A numerical method for solving systems of nonlinear one-dimensional balance laws, based on multivariate sigmoidal functions approximation, is developed …”
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  17. 17

    Nonlinear trigonometric approximations of multivariate function classes von Bazarkhanov, D. B.

    ISSN: 0081-5438, 1531-8605
    Veröffentlicht: Moscow Pleiades Publishing 01.05.2016
    Veröffentlicht in Proceedings of the Steklov Institute of Mathematics (01.05.2016)
    “… Order-sharp estimates are established for the best N -term approximations of functions from Nikol’skii …”
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  18. 18

    Representation and approximation of multivariate functions with mixed smoothness by hyperbolic wavelets von Heping, Wang

    ISSN: 0022-247X, 1096-0813
    Veröffentlicht: San Diego, CA Elsevier Inc 15.03.2004
    Veröffentlicht in Journal of mathematical analysis and applications (15.03.2004)
    “… In this paper, we study the representation theorems of multivariate functions with mixed smoothness by wavelet basis formed by tensor products of univariate wavelets, we also study the best approximation in the L q( R d …”
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  19. 19

    Exponential approximation of multivariate bandlimited functions from average oversampling von Chen, Wenjian, Zhang, Haizhang

    ISSN: 0003-6811, 1563-504X
    Veröffentlicht: Taylor & Francis 02.01.2022
    Veröffentlicht in Applicable analysis (02.01.2022)
    “… Such a sampling strategy is more practical and more stable. In this note, we present an explicit method with an exponentially-decaying approximation error to reconstruct a multivariate bandlimited function from its finite average oversampling data …”
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  20. 20

    Optimal Order of Convergence and (In)Tractability of Multivariate Approximation of Smooth Functions von Novak, Erich, Woźniakowski, Henryk

    ISSN: 0176-4276, 1432-0940
    Veröffentlicht: New York Springer-Verlag 01.12.2009
    Veröffentlicht in Constructive approximation (01.12.2009)
    “… We study the approximation problem for C ∞ functions f :[0,1] d →ℝ with respect to a W p m -norm. Here, m =[ m , m ,…, m …”
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