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09/05/2023
Graph-Based Automatic Feature Selection for Multi-Class Classification via Mean Simplified Silhouette
This paper introduces a novel graph-based filter method for automatic fe...
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08/11/2023
Non-linear WENO B-spline based approximation method
In this work we present a new WENO b-spline based quasi-interpolation al...
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08/31/2022
Interpolation of Set-Valued Functions
Given a finite number of samples of a continuous set-valued function F, ...
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01/26/2022
Global and explicit approximation of piecewise smooth 2D functions from cell-average data
Given cell-average data values of a piecewise smooth bivariate function ...
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12/19/2021
Explicit multivariate approximations from cell-average data
Given gridded cell-average data of a smooth multivariate function, we pr...
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02/02/2021
Manifold Repairing, Reconstruction and Denoising from Scattered Data in High-Dimension
We consider a problem of great practical interest: the repairing and rec...
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12/26/2020
Approximation of Functions on Manifolds in High Dimension from Noisy Scattered Data
In this paper, we consider the fundamental problem of approximation of f...
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12/23/2020
Manifold Reconstruction and Denoising from Scattered Data in High Dimension via a Generalization of L_1-Median
In this paper, we present a method for denoising and reconstruction of l...
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12/02/2020
Corrected subdivision approximation of piecewise smooth functions
Subdivision schemes are useful mathematical tools for the generation of ...
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12/02/2020
Corrected approximation strategy for piecewise smooth bivariate functions
Given values of a piecewise smooth function f on a square grid within a ...
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04/12/2020
Reconstruction of piecewise-smooth multivariate functions from Fourier data
In some applications, one is interested in reconstructing a function f f...
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11/02/2017
Approximation of Functions over Manifolds: A Moving Least-Squares Approach
We present an algorithm for approximating a function defined over a d-di...
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06/22/2016
Manifold Approximation by Moving Least-Squares Projection (MMLS)
In order to avoid the curse of dimensionality, frequently encountered in...
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02/23/2016