Keywords: Multilayer feedforward neural network; Hidden layer; Sigmoidal function; Activation function; Weight; The Kolmogorov superposition theorem; 41A30; 41A63; 65D15; 68T05; 92B20;
مقالات ISI (ترجمه نشده)
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Keywords: Abel's integral equation; Collocation method; Error estimation; Shifted Jacobi polynomials; 45D05; 45E10; 45F15; 47B36; 65D15;
Keywords: 65D15; 41A25; Hardy space; Endpoint singularity; Optimal approximation; Ganelius sampling points;
Keywords: 41A60; 65D15; 13P05; Subdivision; Hermite; Convergence; Derivatives;
Keywords: Signal approximation; Polynomial splines; Convex optimisation; Linear least squares problems; Non-singularity analysis92B05; 90C90; 65D07; 65D15; 65K10
Keywords: 65D17; 65D15; 41A25; 41A10; 41A30Subdivision schemes; Exponential polynomial generation and reproduction; Asymptotical similarity; Approximate sum rules; Approximation order
Keywords: 41A25; 41A63; 65D15; 65Y20Multivariate approximation; Tractability; Hilbert spaces with exponential weights
Keywords: Meshless method; Moving least square; The system of Fredholm integral equation; Numerical solution; Error analysis65R20; 65D15
Keywords: 47B36; 14R15; 39B05; 65D15; 15B99; 65R20Functional integro-differential equations; Operational collocation method; Shifted Jacobi polynomials; Jacobi operational matrices; Error estimation
Keywords: 65D15; 41A25Ridge functions; High-dimensional function approximation; Noisy measurements; Compressed sensing; Dantzig selector
Keywords: 65D15; 65D18; Scattered data fitting; Contour tree; Computational topology;
Keywords: 60G10; 60J60; 65C05; 65D15; 60F05; Stochastic differential equation; Stationary process; Steady regime; Ergodic diffusion; Central Limit Theorem; Euler scheme; Poisson equation; Richardson-Romberg extrapolation;
A remark on joint sparse recovery with OMP algorithm under restricted isometry property
Keywords: Compressed sensing; Joint sparse recovery; Greedy algorithms; Orthogonal Matching Pursuit; Restricted isometry property; 65D15; 68W40; 65J22; 15A29; 90C25;
High-order numerical approximation formulas for Riemann-Liouville (Riesz) tempered fractional derivatives: construction and application (I)
Keywords: Normalized Riesz tempered derivative; (2,2) Padé approximation; Normalized Riemann-Liouville tempered derivative; 65A05; 65D15; 65D25; 65M06; 65M12;
Error estimates with explicit constants for the Sinc approximation over infinite intervals
Keywords: Sinc approximation; Conformal map; Double-exponential transformation; Infinite interval; Error bound; 65D05; 65D15; 65G99;
A numerical method for pricing discrete double barrier option by Legendre multiwavelet
Keywords: 65D15; 35E15; 46A32; Double and single barrier options; Black-Scholes model; Option pricing; Legendre multiwavelet;
Hermite-Birkhoff interpolation on scattered data on the sphere and other manifolds
Keywords: Multivariate approximation; Hermite-Birkhoff interpolation; Meshfree methods; Arbitrarily distributed data; 65D05; 65D15;
Nested sequences of rational spaces: Bernstein approximation, dimension elevation, and Pólya-type theorems on positive polynomials
Keywords: 26C99; 41A20; 41A36; 65D15; 65D17; 26C15; Approximation by rational functions; Bernstein-type operators; Extended Chebyshev spaces; Dimension elevation; Positive polynomials; Pólya-type theorems;
Positive constrained approximation via RBF-based partition of unity method
Keywords: 65D05; 65D15; 65D17; Meshfree approximation; Partition of unity method; Constrained approximation; Positivity-preserving property; Radial basis functions; Applications to population dynamics;
Approximation in Hermite spaces of smooth functions
Keywords: 65D15; 65Y20Multivariate approximation; Exponential convergence; Tractability; Hermite spaces
Convex optimisation-based methods for K-complex detection
Keywords: Convex optimisation; Signal approximation; Data analysis; Feature extraction; Biological signal classification92B05; 90C25; 90C90; 65D07; 65D15; 65K10
Numerical Weil-Petersson metrics on moduli spaces of Calabi-Yau manifolds
Keywords: 32G15; 14J32; 14J30; 32Q20; 32A25; 65D15; Balanced metrics; Numerical geometry; Weil-Petersson metrics; Calabi-Yau; Geometric invariant theory; Monte Carlo method;
Quantum Bernstein bases and quantum Bézier curves
Keywords: 65Dxx; 65D10; 65D15; 65D17; 41-XX; 11C08Quantum blossom; Quantum Bernstein basis; Quantum Bézier curve; Recursive evaluation; Quantum differentiation; Subdivision
A quasi-interpolation scheme for periodic data based on multiquadric trigonometric B-splines
Keywords: 41A25; 41A30; 65D10; 65D15; Quasi-interpolation; Periodic data; Trigonometric divided differences; Multiquadric trigonometric B-splines; Active contours;
Recent advances in linear barycentric rational interpolation
Keywords: 65D05; 65D15; 41A20Linear rational interpolation; Barycentric form; Lebesgue constant; Differentiation; Quadrature; Equispaced nodes
Quasi-interpolation for linear functional data
Keywords: 65D15; 41A25; 41A30; 37B25Quasi-interpolation; Radial basis function; Linear functional data; Numerical solution of the differential equation; Lyapunov function
A generalized Taylor factorization for Hermite subdivision schemes
Keywords: 41A60; 65D15; 13P05Subdivision; Hermite; Taylor expansion; Factorization
Numerical solution of the Poisson equation over hypercubes using reduced Chebyshev polynomial bases
Keywords: 65C05; 65D15; 65D32; 65N35; Reduced size polynomial approximation; Poisson equation on hypercubes; Hybrid variational formulation;
A tension approach to controlling the shape of cubic spline surfaces on FVS triangulations
Keywords: 41A15; 41A63; 65D07; 65D15; 65D17Tension; Bivariate splines; Two-stage scattered data fitting
Algorithms for solving Hermite interpolation problems using the Fast Fourier Transform
Keywords: 33C47; 65D05; 65D15; 65T40; 65T50Hermite interpolation; Sobolev type inner products; Trigonometric interpolation; Laurent polynomials; Fast Fourier Transform
Fast and accurate interpolation of large scattered data sets on the sphere
Keywords: 65D05; 65D15; 65D17Zonal basis functions; Spherical Shepard’s formula; Local methods; Scattered data interpolation; Interpolation algorithms
An approximation method with data selection process
Keywords: 65D15; 65D10; 41A15; 49K05Approximation; Fitting; Curve data selection; Spline; Free-form design
On the construction of local quadratic spline quasi-interpolants on bounded rectangular domains
Keywords: 65D07; 65D15; 41A15; Spline approximation; Quasi-interpolation; Criss-cross triangulation; Algorithms;
Sampling theorems on bounded domains
Keywords: 65D05; 65D15; 65D32; 65T60; 94A20; Nonuniform sampling; Quasi-interpolation; Multiresolution analysis; Iterative integration formulas;
Multivariate approximation by PDE splines
Keywords: 65D15; 65D10; 47A58Approximation; Fitting; PDE
An irregular grid approach for pricing high-dimensional American options
Keywords: 35R35; 60G40; 65D15; 90C33American options; High-dimensional problems; Free boundary problems; Optimal stopping; Variational inequalities; Numerical methods; Unstructured mesh; Markov chain approximation
An approximation solution of a nonlinear equation with Riemann–Liouville's fractional derivatives by He's variational iteration method
Keywords: 65D15; 65K10; 65M99Variation method; Adomian's decomposition method; Fractional differential equation; Riemann-Liouville's fractional derivative; Fractional integral
Error estimates in Sobolev spaces for interpolating thin plate splines under tension
Keywords: 65D05; 65D07; 65D15; 41A15; Approximation theory; Interpolation; Error estimates and convergence;
BiCGStab, VPAStab and an adaptation to mildly nonlinear systems
Keywords: 41A21; 65B05; 65D15; 65H10BiCGStab; Vector-Padé approximation; Nonlinear system; Bratu equation; Burghers’ equation
Calculation of the vacuum Green’s function valid even for high toroidal mode numbers in tokamaks
Keywords: 65D15; 65D3052.65.Cc; 52.55.FaTokamak vacuum Green’s function; Legendre function; Integral representation; Recursion relation
Polynomial approximation of CMCM functions by means of boundary values and applications: A survey
Keywords: 34B15; 41A10; 41A63; 65D05; 65D15; 65D25; 65D30; 65H05Polynomial approximation; Boundary value; Nonlinear equation; Differential boundary value problem; Numerical differentiation; Numerical integration; Multivariate approximation
On almost smooth functions and piecewise smooth functions
Keywords: 26A27; 26B05; 26B25; 26B35; 41A29; 49J52; 52A41; 65D15; 90C25Nonsmooth function; Piecewise smooth function; Semismooth function; Subdifferential; Newton method
Parameterisation of symmetrical peaks in capillary electrophoresis using [3/2]-type rational approximants
Keywords: 41A20; 65D15; 65Z05; Peak parameterisation; Electrophoresis; Peak matching; Rational interpolation; Resonance approximation;
Explicit polynomial expansions of regular real functions by means of even order Bernoulli polynomials and boundary values
Keywords: primary 65D05; 65D15; Bernoulli polynomials; Lidstone polynomials; Expansion; Boundary values;
A comparative simulation study on the IFS distribution function estimator
Keywords: 41A; 65D15; 62G05; Iterated function systems; Distribution function estimation; Nonparametric estimation; Missing data; Density estimation;