Approximation of functions over manifolds: A Moving Least-Squares approach [PDF]
Journal of Computational and Applied Mathematics, 2021 arXiv admin note: text overlap with arXiv:1606 ...
Sober, Barak +3 more
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Function approximation method based on weights gradient descent in reinforcement learning
网络与信息安全学报, 2023 Function approximation has gained significant attention in reinforcement learning research as it effectively addresses problems with large-scale, continuous state, and action space.Although the function approximation algorithm based on gradient descent ...
Xiaoyan QIN +3 more
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Mathematics, 2021 By introducing the dimension splitting method (DSM) into the improved interpolating moving least-squares (IMLS) method with nonsingular weight function, a dimension splitting–interpolating moving least squares (DS-IMLS) method is first proposed.
Jufeng Wang, Fengxin Sun, Rongjun Cheng
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The Optimal Shape Parameter for the Least Squares Approximation Based on the Radial Basis Function
Mathematics, 2020 The radial basis function (RBF) is a class of approximation functions commonly used in interpolation and least squares. The RBF is especially suitable for scattered data approximation and high dimensional function approximation.
Sanpeng Zheng +2 more
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An Efficient Numerical Approach For Solving Linear Variable-order Fractional Differential Equations
Journal of Applied Science and Engineering, 2023 This paper aims to a present numerical method for solving a class of linear variable-order fractional boundary value problems. In this equation, some terms with fractional-order and some other ones of the correct degree appear in the equation.
Lei Wang
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Moving least squares approximation using variably scaled discontinuous weight function
Constructive Mathematical Analysis, 2023 Functions with discontinuities appear in many applications such as image reconstruction, signal processing, optimal control problems, interface problems, engineering applications and so on. Accurate approximation and interpolation of these functions are therefore of great importance.
Mohammad Karimnejad Esfahani +2 more
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Convex-Designs of Controllers for Resonant Systems
IEEE Access, 2023 This paper considers design of controllers for highly resonant systems. Resonant systems are generally modeled as lightly damped linear systems. The purpose of control design is to damp the resonances.
V. Visalakshi +3 more
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Local geoid height approximation and interpolation using moving least squares approach
Geodesy and Geodynamics, 2020 In this paper an introduction of the moving least squares approach is presented in the context of data approximation and interpolation problems in Geodesy.
M. Kiani
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An improved smoothed particle hydrodynamics approach using new inverse kernel function
Journal of Ocean Engineering and Science, 2022 The main limitation of Smoothed Particle Hydrodynamics (SPH) method that resists the method's potential is its lack of providing stability and accuracy to the numerical technique.
J.R. Rajapriyadharshini
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Orthogonal basis functions in discrete least-squares rational approximation
Journal of Computational and Applied Mathematics, 2004 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bultheel, Adhemar +2 more
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