Ming-Jun Lai

CoRR, 2024

The Optimal Rate for Linear KB-splines and LKB-splines Approximation of High Dimensional Continuous Functions and its Application.

[BibT_eX]

[DOI]

CoRR, 2024

2023

Trivariate Spline Collocation Methods for Numerical Solution to 3D Monge-Ampère Equation.

[BibT_eX]

[DOI]

Jinsil Lee

J. Sci. Comput., May, 2023

A Compressed Sensing Based Least Squares Approach to Semi-supervised Local Cluster Extraction.

[BibT_eX]

[DOI]

J. Sci. Comput., February, 2023

A Bivariate Spline based Collocation Method for Numerical Solution to Optimal Transport Problem.

[BibT_eX]

[DOI]

Jinsil Lee

CoRR, 2023

Maximal Volume Matrix Cross Approximation for Image Compression and Least Squares Solution.

[BibT_eX]

[DOI]

Kenneth Allen

CoRR, 2023

Graph-based Semi-supervised Local Clustering with Few Labeled Nodes.

[BibT_eX]

[DOI]

Sheng Li

Proceedings of the Thirty-Second International Joint Conference on Artificial Intelligence, 2023

2022

A Multivariate Spline Based Collocation Method for Numerical Solution of Partial Differential Equations.

[BibT_eX]

[DOI]

Jinsil Lee

SIAM J. Numer. Anal., 2022

Semi-supervised Local Cluster Extraction by Compressive Sensing.

[BibT_eX]

[DOI]

Sheng Li

CoRR, 2022

On Locality of Harmonic Generalized Barycentric Coordinates and Their Application to Solution of the Poisson Equation.

[BibT_eX]

[DOI]

Chongyang Deng

CoRR, 2022

The Harmonic GBC Function Map is a Bijection if the Target Domain is Convex.

[BibT_eX]

[DOI]

Chongyang Deng

Tsung-wei Hu

CoRR, 2022

A Least Square Approach to Semi-supervised Local Cluster Extraction.

[BibT_eX]

[DOI]

CoRR, 2022

Construction of C1 polygonal splines over quadrilateral partitions.

[BibT_eX]

[DOI]

James Lanterman

Comput. Aided Geom. Des., 2022

2021

The Kolmogorov Superposition Theorem can Break the Curse of Dimensionality When Approximating High Dimensional Functions.

[BibT_eX]

[DOI]

CoRR, 2021

2020

Compressive Sensing for Cut Improvement and Local Clustering.

[BibT_eX]

[DOI]

Daniel McKenzie

SIAM J. Math. Data Sci., 2020

A Minimization Approach for Constructing Generalized Barycentric Coordinates and Its Computation.

[BibT_eX]

[DOI]

Chongyang Deng

Xiali Fan

J. Sci. Comput., 2020

A Quasi-Orthogonal Matching Pursuit Algorithm for Compressive Sensing.

[BibT_eX]

[DOI]

CoRR, 2020

Graph Sparsification by Universal Greedy Algorithms.

[BibT_eX]

[DOI]

Jiaxin Xie

Zhiqiang Xu

CoRR, 2020

2019

An economical representation of PDE solution by using compressive sensing approach.

[BibT_eX]

[DOI]

Hongmei Kang

Xin Li

Comput. Aided Des., 2019

2018

A Bivariate Spline Method for Second Order Elliptic Equations in Non-divergence Form.

[BibT_eX]

[DOI]

Chunmei Wang

J. Sci. Comput., 2018

Nonnegative data interpolation by spherical splines.

[BibT_eX]

[DOI]

Victoria Baramidze

J. Comput. Appl. Math., 2018

On DC based Methods for Phase Retrieval.

[BibT_eX]

[DOI]

CoRR, 2018

Semi-Supervised Cluster Extraction via a Compressive Sensing Approach.

[BibT_eX]

[DOI]

Daniel McKenzie

CoRR, 2018

2017

Parallel Multi-Block ADMM with o(1 / k) Convergence.

[BibT_eX]

[DOI]

J. Sci. Comput., 2017

A Compressive Sensing Approach to Community Detection with Applications.

[BibT_eX]

[DOI]

Daniel McKenzie

CoRR, 2017

2016

Polygonal Spline Spaces and the Numerical Solution of the Poisson Equation.

[BibT_eX]

[DOI]

Michael S. Floater

SIAM J. Numer. Anal., 2016

Sharp Sufficient Conditions for Stable Recovery of Block Sparse Signals by Block Orthogonal Matching Pursuit.

[BibT_eX]

[DOI]

CoRR, 2016

On recursive refinement of convex polygons.

[BibT_eX]

[DOI]

George Slavov

Comput. Aided Geom. Des., 2016

2015

Orthogonal Rank-One Matrix Pursuit for Low Rank Matrix Completion.

[BibT_eX]

[DOI]

SIAM J. Sci. Comput., 2015

The probabilistic estimates on the largest and smallest q-singular values of random matrices.

[BibT_eX]

[DOI]

Yang Liu

Math. Comput., 2015

Scattered data interpolation with nonnegative preservation using bivariate splines and its application.

[BibT_eX]

[DOI]

Christof Meile

Comput. Aided Geom. Des., 2015

2014

Stochastic Coordinate Coding and Its Application for Drosophila Gene Expression Pattern Annotation.

[BibT_eX]

[DOI]

CoRR, 2014

Rank-One Matrix Pursuit for Matrix Completion.

[BibT_eX]

[DOI]

Proceedings of the 31th International Conference on Machine Learning, 2014

2013

Improved Iteratively Reweighted Least Squares for Unconstrained Smoothed 퓁q Minimization.

[BibT_eX]

[DOI]

Yangyang Xu

Wotao Yin

SIAM J. Numer. Anal., 2013

Augmented 퓁1 and Nuclear-Norm Models with a Globally Linearly Convergent Algorithm.

[BibT_eX]

[DOI]

Wotao Yin

SIAM J. Imaging Sci., 2013

Box Spline Wavelet Frames for Image Edge Analysis.

[BibT_eX]

[DOI]

Weihong Guo

SIAM J. Imaging Sci., 2013

Scattered data interpolation by bivariate splines with higher approximation order.

[BibT_eX]

[DOI]

Tianhe Zhou

J. Comput. Appl. Math., 2013

A Cr trivariate macro-element based on the Alfeld split of tetrahedra.

[BibT_eX]

[DOI]

Michael A. Matt

J. Approx. Theory, 2013

2012

Piecewise Linear Approximation of the Continuous Rudin-Osher-Fatemi Model for Image Denoising.

[BibT_eX]

[DOI]

Leopold Matamba Messi

SIAM J. Numer. Anal., 2012

Augmented L1 and Nuclear-Norm Models with a Globally Linearly Convergent Algorithm

[BibT_eX]

[DOI]

Wotao Yin

CoRR, 2012

2011

An Unconstrained ℓq Minimization with 0<q≤1 for Sparse Solution of Underdetermined Linear Systems.

[BibT_eX]

[DOI]

Jingyue Wang

SIAM J. Optim., 2011

Convergence of discrete and penalized least squares spherical splines.

[BibT_eX]

[DOI]

Victoria Baramidze

J. Approx. Theory, 2011

2009

Popular Wavelet Families and Filters and Their Use.

[BibT_eX]

[DOI]

Proceedings of the Encyclopedia of Complexity and Systems Science, 2009

Multivariate Splines and Their Applications.

[BibT_eX]

[DOI]

Proceedings of the Encyclopedia of Complexity and Systems Science, 2009

A Domain Decomposition Method for Computing Bivariate Spline Fits of Scattered Data.

[BibT_eX]

[DOI]

SIAM J. Numer. Anal., 2009

The Convergence of a Central-Difference Discretization of Rudin-Osher-Fatemi Model for Image Denoising.

[BibT_eX]

[DOI]

Bradley J. Lucier

Jingyue Wang

Proceedings of the Scale Space and Variational Methods in Computer Vision, 2009

2007

Bivariate Splines of Various Degrees for Numerical Solution of Partial Differential Equations.

[BibT_eX]

[DOI]

Xianliang Hu

Danfu Han

SIAM J. Sci. Comput., 2007

The convergence of three L1 spline methods for scattered data interpolation and fitting.

[BibT_eX]

[DOI]

J. Approx. Theory, 2007

Spline functions on triangulations.

[BibT_eX]

Encyclopedia of mathematics and its applications 110, Cambridge University Press, ISBN: 978-0-521-87592-9, 2007

2006

Spherical Splines for Data Interpolation and Fitting.

[BibT_eX]

[DOI]

Victoria Baramidze

C. K. Shum

SIAM J. Sci. Comput., 2006

Construction of multivariate compactly supported prewavelets in L2 space and pre-Riesz bases in Sobolev spaces.

[BibT_eX]

[DOI]

J. Approx. Theory, 2006

Factorization of multivariate positive Laurent polynomials.

[BibT_eX]

[DOI]

Jeffrey S. Geronimo

J. Approx. Theory, 2006

An octahedral C2 macro-element.

[BibT_eX]

[DOI]

Alain Le Méhauté

Tatyana Sorokina

Comput. Aided Geom. Des., 2006

Construction of multivariate compactly supported orthonormal wavelets.

[BibT_eX]

[DOI]

Adv. Comput. Math., 2006

2005

Trivariate spline approximations of 3D Navier-Stokes equations.

[BibT_eX]

[DOI]

Gerard Awanou

Math. Comput., 2005

2004

On the divided differences of the remainder in polynomial interpolation.

[BibT_eX]

[DOI]

Xinghua Wang

Shijun Yang

J. Approx. Theory, 2004

L1 Spline Methods for Scattered Data Interpolation and Approximation.

[BibT_eX]

[DOI]

Paul Wenston

Adv. Comput. Math., 2004

A New Kind of Trivariate C1 Macro-element.

[BibT_eX]

[DOI]

Alain Le Méhauté

Adv. Comput. Math., 2004

2003

Macro-elements and stable local bases for splines on Powell-Sabin triangulations.

[BibT_eX]

[DOI]

Math. Comput., 2003

Construction of trivariate compactly supported biorthogonal box spline wavelets.

[BibT_eX]

[DOI]

Wenjie He

J. Approx. Theory, 2003

2002

Quadrilateral Macroelements.

[BibT_eX]

[DOI]

SIAM J. Math. Anal., 2002

Error bounds for minimal energy bivariate polynomial splines.

[BibT_eX]

[DOI]

Manfred von Golitschek

Numerische Mathematik, 2002

2001

Macro-elements and stable local bases for splines on Clough-Tocher triangulations.

[BibT_eX]

[DOI]

Numerische Mathematik, 2001

2000

Examples of bivariate nonseparable compactly supported orthonormal continuous wavelets.

[BibT_eX]

[DOI]

Wenjie He

IEEE Trans. Image Process., 2000

On Schwarz's domain decomposition methods for elliptic boundary value problems.

[BibT_eX]

[DOI]

Paul Wenston

Numerische Mathematik, 2000

Algorithms for G1 connection of multiple parametric bicubic NURBS surfaces.

[BibT_eX]

[DOI]

Jian-Ao Lian

Numer. Algorithms, 2000

Filling polygonal holes using C1 cubic triangular spline patches.

[BibT_eX]

[DOI]

Comput. Aided Geom. Des., 2000

1998

On the approximation power of bivariate splines.

[BibT_eX]

[DOI]

Adv. Comput. Math., 1998

1997

Digital filters associated with bivariate box spline wavelets.

[BibT_eX]

[DOI]

Wenjie He

J. Electronic Imaging, 1997

Geometric interpretation of smoothness conditions of triangular polynomial patches.

[BibT_eX]

[DOI]

Comput. Aided Geom. Des., 1997

1996

Scattered data interpolation and approximation using bivariate C1 piecewise cubic polynomials.

[BibT_eX]

[DOI]

Comput. Aided Geom. Des., 1996

1995

On the digital filter associated with Daubechies' wavelets.

[BibT_eX]

[DOI]

IEEE Trans. Signal Process., 1995

1994

Approximation order from bivariate C1-cubics on a four-directional mesh is full.

[BibT_eX]

[DOI]

Comput. Aided Geom. Des., 1994

1992

Fortran subroutines for B-nets of box splines on three- and four-directional meshes.

[BibT_eX]

[DOI]

Numer. Algorithms, 1992

1991

A characterization theorem of multivariate splines in blossoming form.

[BibT_eX]

[DOI]

Comput. Aided Geom. Des., 1991

Algorithms for generating B-nets and graphically displaying spline surfaces on three- and four-directional meshes.

[BibT_eX]

[DOI]

Comput. Aided Geom. Des., 1991

1987

On multivariate Vertex splines and Applications.

[BibT_eX]

[DOI]