Found 80 Documents (Results 1–80)
Approximation of curve-based sleeve functions in high dimensions. (English) Zbl 1539.41010
Reviewer: Kai Diethelm (Schweinfurt)
Convergence analysis for kernel-regularized online regression associated with an RRKHS. (English) Zbl 07707974
Modeling regular textures in images using the Radon transform. (Russian. English summary) Zbl 1507.68333
Sib. Zh. Ind. Mat. 24, No. 2, 62-76 (2021); translation in J. Appl. Ind. Math. 15, No. 2, 223-233 (2021).
On the representation by bivariate ridge functions. (English) Zbl 1492.41013
Ukr. Math. J. 73, No. 5, 675-685 (2021); translation from Ukr. Mat. Zh. 73, No. 5, 579-588 (2021).
Reviewer: Martin D. Buhmann (Gießen)
MSC:
41A65
Polynomial interpolation of holomorphic functions based on Radon projections. (English) Zbl 1481.30021
Stability properties of disk polynomials. (English) Zbl 1464.41002
Reviewer: Devendra Kumar (Al-Baha)
Rhodonea curves as sampling trajectories for spectral interpolation on the unit disk. (English) Zbl 1462.41002
Reviewer: Martin D. Buhmann (Gießen)
On the lower bound in the problem of approximate reconstruction of functions by values of the Radon transform. (Russian. English summary) Zbl 1497.65257
MSC:
65R10
A representation problem for smooth sums of ridge functions. (English) Zbl 1448.26019
Reviewer: Gian Luigi Forti (Milano)
Decoupling multivariate polynomials: interconnections between tensorizations. (English) Zbl 1415.15011
Harmonic interpolation of Hermite type based on Radon projections with constant distances. (English) Zbl 1426.41007
Computing the approximation error for neural networks with weights varying on fixed directions. (English) Zbl 1491.41008
A note on continuous sums of ridge functions. (English) Zbl 1404.26018
Reviewer: Teodora-Liliana Rădulescu (Craiova)
Some problems in the theory of ridge functions. (English. Russian original) Zbl 1405.41011
Proc. Steklov Inst. Math. 301, 144-169 (2018); translation from Tr. Mat. Inst. Steklova 301, 155-181 (2018).
Reviewer: Sergei S. Platonov (Petrozavodsk)
Approximate decoupling of multivariate polynomials using weighted tensor decomposition. (English) Zbl 1499.65053
Asymptotic behavior of interpolation polynomials of harmonic functions based on Radon projections. (English) Zbl 1375.41001
Approximation by sums of ridge functions with fixed directions. (English. Russian original) Zbl 1372.41009
St. Petersbg. Math. J. 28, No. 6, 741-772 (2017); translation from Algebra Anal. 28, No. 6, 20-69 (2016).
MSC:
41A30
A note on the equioscillation theorem for best ridge function approximation. (English) Zbl 1371.41025
Fast and exact \(2d\) image reconstruction based on Hakopian interpolation. (English) Zbl 1372.65335
Harmonic interpolation of Hermite type based on Radon projections in two directions. (English) Zbl 1369.30038
MSC:
30E05
On the error of approximation by ridge functions with two fixed directions. (English) Zbl 1364.41007
A spectral method for nonlinear elliptic equations. (English) Zbl 1359.65273
Reviewer: Francisco Pérez Acosta (La Laguna)
MSC:
65N35
On some properties of finite sums of ridge functions defined on convex subsets of \(\mathbb{R}^n\). (English. Russian original) Zbl 1370.26028
Proc. Steklov Inst. Math. 293, 186-193 (2016); translation from Tr. Mat. Inst. Steklova 293, 193-200 (2016).
Reviewer: Andrzej Nowak (Katowice)
On a smoothness problem in ridge function representation. (English) Zbl 1342.26037
Reviewer: Andrzej Nowak (Katowice)
New results on regularity and errors of harmonic interpolation using Radon projections. (English) Zbl 1323.41003
Approximation by ridge functions and neural networks with a bounded number of neurons. (English) Zbl 1326.41028
Entropy and sampling numbers of classes of ridge functions. (English) Zbl 1329.41043
Reviewer: Alexander Tovstolis (Orlando)
Interpolating solutions of the Poisson equation in the disk based on Radon projections. (English) Zbl 1302.65246
Learning non-parametric basis independent models from point queries via low-rank methods. (English) Zbl 1373.68336
Interpolation of harmonic functions based on Radon projections. (English) Zbl 1305.41003
Reviewer: Aurelian Bejancu (Safat)
A criterion for the explicit reconstruction of a holomorphic function from its restrictions on lines. (English) Zbl 1293.32003
Interpolation on lines by ridge functions. (English) Zbl 1298.41005
Reviewer: Antonio López-Carmona (Granada)
Smoothness and uniqueness in ridge function representation. (English) Zbl 1305.26036
Reviewer: Andrzej Nowak (Katowice)
A spectral method for parabolic differential equations. (English) Zbl 1308.65170
Reviewer: Tan Bui (Austin)
MSC:
65M70
Harmonic interpolation based on Radon projections along the sides of regular polygons. (English) Zbl 1263.41002
Representation of polynomials by linear combinations of radial basis functions. (English) Zbl 1264.41023
Reviewer: Peter Massopust (München)
Learning functions of few arbitrary linear parameters in high dimensions. (English) Zbl 1252.65036
Reviewer: Francisco Pérez Acosta (La Laguna)
Radon needlet thresholding. (English) Zbl 1243.65152
Geometric weakly admissible meshes, discrete least squares approximations and approximate Fekete points. (English) Zbl 1228.41002
Reviewer: Zoltán Finta (Cluj-Napoca)
Comparing seven spectral methods for interpolation and for solving the Poisson equation in a disk: Zernike polynomials, Logan-Shepp ridge polynomials, Chebyshev-Fourier series, cylindrical Robert functions, Bessel-Fourier expansions, square-to-disk conformal mapping and radial basis functions. (English) Zbl 1210.65192
MSC:
65N35
Optimization based on quasi-Monte Carlo sampling to design state estimators for non-linear systems. (English) Zbl 1206.11097
A discretized Fourier orthogonal expansion in orthogonal polynomials on a cylinder. (English) Zbl 1203.42042
Reviewer: Alexei Lukashov (Istanbul)
A spectral method for elliptic equations: The Dirichlet problem. (English) Zbl 1196.65177
Reviewer: Wilhelm Heinrichs (Essen)
Geometric properties of the ridge function manifold. (English) Zbl 1188.41018
Reviewer: Richard A. Zalik (Auburn University)
Inversion of noisy Radon transform by SVD based needlets. (English) Zbl 1213.42117
Reviewer: Qiyu Sun (Orlando)
Continuous and discrete tight frames of orthogonal polynomials for a radially symmetric weight. (English) Zbl 1180.33011
Reviewer: Alicia Cachafeiro López (Vigo)
Linear and nonlinear methods of relief approximation. (English. Russian original) Zbl 1195.41020
J. Math. Sci., New York 155, No. 1, 129-152 (2008); translation from Sovrem. Mat., Fundam. Napravl. 25, 126-148 (2007).
Reviewer: Juri M. Rappoport (Moskva)
Approximation by polynomials and ridge functions of classes of \(s\)-monotone radial functions. (English) Zbl 1145.41005
Reviewer: Martin D. Buhmann (Gießen)
MSC:
41A46
On the representation by linear superpositions. (English) Zbl 1136.41001
Reviewer: Martin D. Buhmann (Gießen)
Smoothing of Radon projections type of data by bivariate polynomials. (English) Zbl 1144.65080
Reviewer: Ivan Secrieru (Chişinău)
Characterization of an extremal sum of ridge functions. (English) Zbl 1115.41018
Reviewer: Martin D. Buhmann (Gießen)
A new approach to the reconstruction of images from Radon projections. (English) Zbl 1133.42010
Reviewer: Joseph Lakey (Las Cruces)
Computing light masks in neutral atom lithography. (English) Zbl 1106.78010
Reviewer: Michel Nizette (Bruxelles)
Ridge wavelets on the ball. (English) Zbl 1092.42022
MSC:
42C40
On best approximation of classes by radial functions. (English) Zbl 1013.41013
Reviewer: Yuly Makovoz (Lowell)
On a decomposition of polynomials in several variables. (English) Zbl 1067.11012
Reviewer: Maurice Mignotte (Strasbourg)
Tomographic reconstruction by maximum entropy in the mean: Unconstrained reconstructions. (English) Zbl 1029.65142
Reviewer: Zhang Wanguo (Shanghai)
Ridge functions and orthonormal ridgelets. (English) Zbl 0982.42026
MSC:
42C40
On best approximation by ridge functions. (English) Zbl 0939.41014
Reviewer: K.Najzar (Praha)
Identifying linear combinations of ridge functions. (English) Zbl 0931.41011
Reviewer: Shi Ying-Guang (Beijing)
Spherical quadrature and inversion of Radon transforms. (English) Zbl 0592.65090
Reviewer: F.Natterer
Optimal algorithms for image understanding: Current status and future plans. (English) Zbl 0586.68038
Radial sums of ridge functions: a characterization. (English) Zbl 0577.44004
Reviewer: A.K.Louis
MSC:
44A15
On the closure of spaces of sums of Ridge functions and the range of the X-ray transform. (English) Zbl 0521.46018
MSC:
46E30
Sums of homogeneous functions and the range of the divergent beam X-ray transform. (English) Zbl 0526.44007
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