A Recursive Local Polynomial Approximation Method Using Dirichlet Clouds and Radial Basis Functions

DOI10.1137/15M1008592zbMath1342.65087OpenAlexW2491662375MaRDI QIDQ3186111

Warren B. Powell, A. A. Jamshidi

Publication date: 8 August 2016

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/15m1008592

zbMATH Keywords

radial basis functionsdata fittingfunction approximationlocal polynomials

Mathematics Subject Classification ID

Numerical smoothing, curve fitting (65D10) Time series, auto-correlation, regression, etc. in statistics (GARCH) (62M10) Signal theory (characterization, reconstruction, filtering, etc.) (94A12) Algorithms for approximation of functions (65D15)

Related Items

Optimal Learning with Local Nonlinear Parametric Models over Continuous Designs ⋮ Optimal learning with a local parametric belief model

Uses Software

• SemiPar
• MLMSRBF
• LOWESS
• BayesDA

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Improved strategies for radial basis function methods for global optimization
• Smoothing methods in statistics
• Tracking global optima in dynamic environments with efficient global optimization
• Robust Full Bayesian Learning for Radial Basis Networks
• A Stochastic Radial Basis Function Method for the Global Optimization of Expensive Functions
• Skew-Radial Basis Function Expansions for Empirical Modeling
• Bayesian Treed Gaussian Process Models With an Application to Computer Modeling
• Modeling Multivariate Time Series on Manifolds with Skew Radial Basis Functions
• Approximate Dynamic Programming
• Regularization Algorithms for Learning That Are Equivalent to Multilayer Networks
• Locally Weighted Regression: An Approach to Regression Analysis by Local Fitting
• Towards a Black Box Algorithm for Nonlinear Function Approximation over High‐Dimensional Domains
• Weighted Local Regression and Kernel Methods for Nonparametric Curve Fitting
• Robust Locally Weighted Regression and Smoothing Scatterplots
• Design-adaptive Nonparametric Regression
• Radial Basis Functions
• Semiparametric Regression
• A radial basis function method for global optimization
• Bayesian treed models