Ming-Jun Lai

Publication Activity (10 Years)

Years Active: 1991-2024
Publications (10 Years): 32

Top Topics

Orthogonal Matching Pursuit

Numerical Solution

Matrix Completion

Greedy Algorithms

Top Venues

J. Sci. Comput.

Comput. Aided Geom. Des.

SIAM J. Numer. Anal.

Publications

Ming-Jun Lai
Multivariate Splines and Their Applications. CoRR (2024)
Ming-Jun Lai, Zhaiming Shen
The Optimal Rate for Linear KB-splines and LKB-splines Approximation of High Dimensional Continuous Functions and its Application. CoRR (2024)
Ming-Jun Lai, Zhaiming Shen
A Compressed Sensing Based Least Squares Approach to Semi-supervised Local Cluster Extraction. J. Sci. Comput. 94 (3) (2023)
Ming-Jun Lai, Jinsil Lee
Trivariate Spline Collocation Methods for Numerical Solution to 3D Monge-Ampère Equation. J. Sci. Comput. 95 (2) (2023)
Zhaiming Shen, Ming-Jun Lai, Sheng Li
Graph-based Semi-supervised Local Clustering with Few Labeled Nodes. IJCAI (2023)
Kenneth Allen, Ming-Jun Lai, Zhaiming Shen
Maximal Volume Matrix Cross Approximation for Image Compression and Least Squares Solution. CoRR (2023)
Ming-Jun Lai, Jinsil Lee
A Bivariate Spline based Collocation Method for Numerical Solution to Optimal Transport Problem. CoRR (2023)
Zhaiming Shen, Ming-Jun Lai, Sheng Li
Semi-supervised Local Cluster Extraction by Compressive Sensing. CoRR (2022)
Chongyang Deng, Ming-Jun Lai
On Locality of Harmonic Generalized Barycentric Coordinates and Their Application to Solution of the Poisson Equation. CoRR (2022)
Ming-Jun Lai, James Lanterman
polygonal splines over quadrilateral partitions. Comput. Aided Geom. Des. 92 (2022)
Chongyang Deng, Tsung-wei Hu, Ming-Jun Lai
The Harmonic GBC Function Map is a Bijection if the Target Domain is Convex. CoRR (2022)
Ming-Jun Lai, Jinsil Lee
A Multivariate Spline Based Collocation Method for Numerical Solution of Partial Differential Equations. SIAM J. Numer. Anal. 60 (5) (2022)
Ming-Jun Lai, Jinsil Lee
Trivariate Spline Collocation Methods for Numerical Solution to 3D Monge-Ampère Equation. CoRR (2022)
Ming-Jun Lai, Zhaiming Shen
A Least Square Approach to Semi-supervised Local Cluster Extraction. CoRR (2022)
Ming-Jun Lai, Jinsil Lee
A Multivariate Spline based Collocation Method for Numerical Solution of Partial Differential Equations. CoRR (2021)
Ming-Jun Lai, Zhaiming Shen
The Kolmogorov Superposition Theorem can Break the Curse of Dimensionality When Approximating High Dimensional Functions. CoRR (2021)
Chongyang Deng, Xiali Fan, Ming-Jun Lai
A Minimization Approach for Constructing Generalized Barycentric Coordinates and Its Computation. J. Sci. Comput. 84 (1) (2020)
Ming-Jun Lai, Jiaxin Xie, Zhiqiang Xu
Graph Sparsification by Universal Greedy Algorithms. CoRR (2020)
Ming-Jun Lai, Zhaiming Shen
A Quasi-Orthogonal Matching Pursuit Algorithm for Compressive Sensing. CoRR (2020)
Ming-Jun Lai, Daniel McKenzie
Compressive Sensing for Cut Improvement and Local Clustering. SIAM J. Math. Data Sci. 2 (2) (2020)
Hongmei Kang, Ming-Jun Lai, Xin Li
An economical representation of PDE solution by using compressive sensing approach. Comput. Aided Des. 115 (2019)
Ming-Jun Lai, Chunmei Wang
A Bivariate Spline Method for Second Order Elliptic Equations in Non-divergence Form. J. Sci. Comput. 75 (2) (2018)
Meng Huang, Ming-Jun Lai, Abraham Varghese, Zhiqiang Xu
On DC based Methods for Phase Retrieval. CoRR (2018)
Ming-Jun Lai, Daniel McKenzie
Semi-Supervised Cluster Extraction via a Compressive Sensing Approach. CoRR (2018)
Ming-Jun Lai, Daniel McKenzie
A Compressive Sensing Approach to Community Detection with Applications. CoRR (2017)
Wei Deng, Ming-Jun Lai, Zhimin Peng, Wotao Yin
Parallel Multi-Block ADMM with o(1 / k) Convergence. J. Sci. Comput. 71 (2) (2017)
Ming-Jun Lai, George Slavov
On recursive refinement of convex polygons. Comput. Aided Geom. Des. 45 (2016)
Michael S. Floater, Ming-Jun Lai
Polygonal Spline Spaces and the Numerical Solution of the Poisson Equation. SIAM J. Numer. Anal. 54 (2) (2016)
Jinming Wen, Zhengchun Zhou, Zilong Liu, Ming-Jun Lai, Xiaohu Tang
Sharp Sufficient Conditions for Stable Recovery of Block Sparse Signals by Block Orthogonal Matching Pursuit. CoRR (2016)
Ming-Jun Lai, Christof Meile
Scattered data interpolation with nonnegative preservation using bivariate splines and its application. Comput. Aided Geom. Des. 34 (2015)
Zheng Wang, Ming-Jun Lai, Zhaosong Lu, Wei Fan, Hasan Davulcu, Jieping Ye
Orthogonal Rank-One Matrix Pursuit for Low Rank Matrix Completion. SIAM J. Sci. Comput. 37 (1) (2015)
Ming-Jun Lai, Yang Liu
The probabilistic estimates on the largest and smallest q-singular values of random matrices. Math. Comput. 84 (294) (2015)
Zheng Wang, Ming-Jun Lai, Zhaosong Lu, Wei Fan, Hasan Davulcu, Jieping Ye
Orthogonal Rank-One Matrix Pursuit for Low Rank Matrix Completion. CoRR (2014)
Binbin Lin, Qingyang Li, Qian Sun, Ming-Jun Lai, Ian Davidson, Wei Fan, Jieping Ye
Stochastic Coordinate Coding and Its Application for Drosophila Gene Expression Pattern Annotation. CoRR (2014)
Zheng Wang, Ming-Jun Lai, Zhaosong Lu, Wei Fan, Hasan Davulcu, Jieping Ye
Rank-One Matrix Pursuit for Matrix Completion. ICML (2014)
Ming-Jun Lai, Wotao Yin
and Nuclear-Norm Models with a Globally Linearly Convergent Algorithm. SIAM J. Imaging Sci. 6 (2) (2013)
Ming-Jun Lai, Yangyang Xu, Wotao Yin
Minimization. SIAM J. Numer. Anal. 51 (2) (2013)
Ming-Jun Lai, Michael A. Matt
trivariate macro-element based on the Alfeld split of tetrahedra. J. Approx. Theory 175 (2013)
Tianhe Zhou, Ming-Jun Lai
Scattered data interpolation by bivariate splines with higher approximation order. J. Comput. Appl. Math. 242 (2013)
Weihong Guo, Ming-Jun Lai
Box Spline Wavelet Frames for Image Edge Analysis. SIAM J. Imaging Sci. 6 (3) (2013)
Ming-Jun Lai, Leopold Matamba Messi
Piecewise Linear Approximation of the Continuous Rudin-Osher-Fatemi Model for Image Denoising. SIAM J. Numer. Anal. 50 (5) (2012)
Ming-Jun Lai, Wotao Yin
Augmented L1 and Nuclear-Norm Models with a Globally Linearly Convergent Algorithm CoRR (2012)
Victoria Baramidze, Ming-Jun Lai
Convergence of discrete and penalized least squares spherical splines. J. Approx. Theory 163 (9) (2011)
Ming-Jun Lai, Jingyue Wang
Minimization with 0<q≤1 for Sparse Solution of Underdetermined Linear Systems. SIAM J. Optim. 21 (1) (2011)
Ming-Jun Lai, Bradley J. Lucier, Jingyue Wang
The Convergence of a Central-Difference Discretization of Rudin-Osher-Fatemi Model for Image Denoising. SSVM (2009)
Ming-Jun Lai, Larry L. Schumaker
A Domain Decomposition Method for Computing Bivariate Spline Fits of Scattered Data. SIAM J. Numer. Anal. 47 (2) (2009)
Ming-Jun Lai
spline methods for scattered data interpolation and fitting. J. Approx. Theory 145 (2) (2007)
Ming-Jun Lai
space and pre-Riesz bases in Sobolev spaces. J. Approx. Theory 142 (2) (2006)
Ming-Jun Lai, Alain Le Méhauté, Tatyana Sorokina
macro-element. Comput. Aided Geom. Des. 23 (8) (2006)
Jeffrey S. Geronimo, Ming-Jun Lai
Factorization of multivariate positive Laurent polynomials. J. Approx. Theory 139 (1-2) (2006)
Ming-Jun Lai
Construction of multivariate compactly supported orthonormal wavelets. Adv. Comput. Math. 25 (1-3) (2006)
Gerard Awanou, Ming-Jun Lai
Trivariate spline approximations of 3D Navier-Stokes equations. Math. Comput. 74 (250) (2005)
Ming-Jun Lai, Alain Le Méhauté
Macro-element. Adv. Comput. Math. 21 (3-4) (2004)
Ming-Jun Lai, Paul Wenston
Spline Methods for Scattered Data Interpolation and Approximation. Adv. Comput. Math. 21 (3-4) (2004)
Xinghua Wang, Ming-Jun Lai, Shijun Yang
On the divided differences of the remainder in polynomial interpolation. J. Approx. Theory 127 (2) (2004)
Wenjie He, Ming-Jun Lai
Construction of trivariate compactly supported biorthogonal box spline wavelets. J. Approx. Theory 120 (1) (2003)
Ming-Jun Lai, Larry L. Schumaker
Macro-elements and stable local bases for splines on Powell-Sabin triangulations. Math. Comput. 72 (241) (2003)
Ming-Jun Lai, Larry L. Schumaker
Quadrilateral Macroelements. SIAM J. Math. Anal. 33 (5) (2002)
Manfred von Golitschek, Ming-Jun Lai, Larry L. Schumaker
Error bounds for minimal energy bivariate polynomial splines. Numerische Mathematik 93 (2) (2002)
Ming-Jun Lai, Larry L. Schumaker
Macro-elements and stable local bases for splines on Clough-Tocher triangulations. Numerische Mathematik 88 (1) (2001)
Charles K. Chui, Ming-Jun Lai
Filling polygonal holes using C1 cubic triangular spline patches. Comput. Aided Geom. Des. 17 (4) (2000)
Ming-Jun Lai, Paul Wenston
On Schwarz's domain decomposition methods for elliptic boundary value problems. Numerische Mathematik 84 (3) (2000)
Charles K. Chui, Ming-Jun Lai, Jian-ao Lian
connection of multiple parametric bicubic NURBS surfaces. Numer. Algorithms 23 (4) (2000)
Wenjie He, Ming-Jun Lai
Examples of bivariate nonseparable compactly supported orthonormal continuous wavelets. IEEE Trans. Image Process. 9 (5) (2000)
Ming-Jun Lai, Larry L. Schumaker
On the approximation power of bivariate splines. Adv. Comput. Math. 9 (3-4) (1998)
Ming-Jun Lai
Geometric interpretation of smoothness conditions of triangular polynomial patches. Comput. Aided Geom. Des. 14 (2) (1997)
Wenjie He, Ming-Jun Lai
Digital filters associated with bivariate box spline wavelets. J. Electronic Imaging 6 (4) (1997)
Ming-Jun Lai
piecewise cubic polynomials. Comput. Aided Geom. Des. 13 (1) (1996)
Ming-Jun Lai
On the digital filter associated with Daubechies' wavelets. IEEE Trans. Signal Process. 43 (9) (1995)
Ming-Jun Lai
Approximation order from bivariate C1-cubics on a four-directional mesh is full. Comput. Aided Geom. Des. 11 (2) (1994)
Ming-Jun Lai
Fortran subroutines for B-nets of box splines on three- and four-directional meshes. Numer. Algorithms 2 (1) (1992)
Ming-Jun Lai
A characterization theorem of multivariate splines in blossoming form. Comput. Aided Geom. Des. 8 (6) (1991)
Charles K. Chui, Ming-Jun Lai
Algorithms for generating B-nets and graphically displaying spline surfaces on three- and four-directional meshes. Comput. Aided Geom. Des. 8 (6) (1991)