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11/20/2022
Semi-supervised Local Cluster Extraction by Compressive Sensing
Local clustering problem aims at extracting a small local structure insi...
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07/23/2022
On Locality of Harmonic Generalized Barycentric Coordinates and Their Application to Solution of the Poisson Equation
We first extend the construction of generalized barycentric coordinates ...
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06/11/2022
Trivariate Spline Collocation Methods for Numerical Solution to 3D Monge-Ampère Equation
We use trivariate spline functions for the numerical solution of the Dir...
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04/20/2022
The Harmonic GBC Function Map is a Bijection if the Target Domain is Convex
Harmonic generalized barycentric coordinates (GBC) functions have been u...
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02/07/2022
A Least Square Approach to Semi-supervised Local Cluster Extraction
A least square semi-supervised local clustering algorithm based on the i...
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12/18/2021
The Kolmogorov Superposition Theorem can Break the Curse of Dimensionality When Approximating High Dimensional Functions
We explain how to use Kolmogorov's Superposition Theorem (KST) to overco...
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09/20/2021
A Multivariate Spline based Collocation Method for Numerical Solution of Partial Differential Equations
We propose a collocation method based on multivariate polynomial splines...
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07/18/2020
A Quasi-Orthogonal Matching Pursuit Algorithm for Compressive Sensing
In this paper, we propose a new orthogonal matching pursuit algorithm ca...
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07/14/2020
Graph Sparsification by Universal Greedy Algorithms
Graph sparsification is to approximate an arbitrary graph by a sparse gr...
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10/22/2018
On DC based Methods for Phase Retrieval
In this paper, we develop a new computational approach which is based on...
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08/17/2018
Semi-Supervised Cluster Extraction via a Compressive Sensing Approach
We use techniques from compressive sensing to design a local clustering ...
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08/30/2017
A Compressive Sensing Approach to Community Detection with Applications
The community detection problem for graphs asks one to partition the n v...
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04/04/2014