
The authors develop a method for removing outliers using quasi-interpolation. The authors use quasi-interpolation and the approximation error of a function to create a boundary beyond which a data point is adjudicated as an outlier and removed from the dataset. This is done when the difference between the value of the function and its quasi-interpolation function are larger than the estimated approximation error in the quasi-interpolation function.
moving least squares, multivariate approximation, outliers, Numerical smoothing, curve fitting, Multidimensional problems, Interpolation in approximation theory
moving least squares, multivariate approximation, outliers, Numerical smoothing, curve fitting, Multidimensional problems, Interpolation in approximation theory
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