On multivariate Vertex splines and Applications. - Charles K. Chui; Ming-Jun Lai (Topics in Multivariate Approximation, 1987)

Algorithms for generating B-nets and graphically displaying spline surfaces on three- and four-directional meshes. - Charles K. Chui; Ming-Jun Lai (Comput. Aided Geom. Des., 1991)

A characterization theorem of multivariate splines in blossoming form. - Ming-Jun Lai (Comput. Aided Geom. Des., 1991)

Fortran subroutines for B-nets of box splines on three- and four-directional meshes. - Ming-Jun Lai (Numer. Algorithms, 1992)

Approximation order from bivariate C1-cubics on a four-directional mesh is full. - Ming-Jun Lai (Comput. Aided Geom. Des., 1994)

On the digital filter associated with Daubechies' wavelets. - Ming-Jun Lai (IEEE Trans. Signal Process., 1995)

Scattered data interpolation and approximation using bivariate C1 piecewise cubic polynomials. - Ming-Jun Lai (Comput. Aided Geom. Des., 1996)

Geometric interpretation of smoothness conditions of triangular polynomial patches. - Ming-Jun Lai (Comput. Aided Geom. Des., 1997)

Digital filters associated with bivariate box spline wavelets. - Wenjie He; Ming-Jun Lai (J. Electronic Imaging, 1997)

On the approximation power of bivariate splines. - Ming-Jun Lai; Larry L. Schumaker (Adv. Comput. Math., 1998)

Filling polygonal holes using C1 cubic triangular spline patches. - Charles K. Chui; Ming-Jun Lai (Comput. Aided Geom. Des., 2000)

Algorithms for G1 connection of multiple parametric bicubic NURBS surfaces. - Charles K. Chui; Ming-Jun Lai; Jian-Ao Lian (Numer. Algorithms, 2000)

On Schwarz's domain decomposition methods for elliptic boundary value problems. - Ming-Jun Lai; Paul Wenston (Numerische Mathematik, 2000)

Examples of bivariate nonseparable compactly supported orthonormal continuous wavelets. - Wenjie He; Ming-Jun Lai (IEEE Trans. Image Process., 2000)

Macro-elements and stable local bases for splines on Clough-Tocher triangulations. - Ming-Jun Lai; Larry L. Schumaker (Numerische Mathematik, 2001)

Error bounds for minimal energy bivariate polynomial splines. - Manfred von Golitschek; Ming-Jun Lai; Larry L. Schumaker (Numerische Mathematik, 2002)

Quadrilateral Macroelements. - Ming-Jun Lai; Larry L. Schumaker (SIAM J. Math. Anal., 2002)

Construction of trivariate compactly supported biorthogonal box spline wavelets. - Wenjie He; Ming-Jun Lai (J. Approx. Theory, 2003)

Macro-elements and stable local bases for splines on Powell-Sabin triangulations. - Ming-Jun Lai; Larry L. Schumaker (Math. Comput., 2003)

A New Kind of Trivariate C1 Macro-element. - Ming-Jun Lai; Alain Le Méhauté (Adv. Comput. Math., 2004)

L1 Spline Methods for Scattered Data Interpolation and Approximation. - Ming-Jun Lai; Paul Wenston (Adv. Comput. Math., 2004)

On the divided differences of the remainder in polynomial interpolation. - Xinghua Wang 001; Ming-Jun Lai; Shijun Yang (J. Approx. Theory, 2004)

Trivariate spline approximations of 3D Navier-Stokes equations. - Gerard Awanou; Ming-Jun Lai (Math. Comput., 2005)

Construction of multivariate compactly supported orthonormal wavelets. - Ming-Jun Lai (Adv. Comput. Math., 2006)

An octahedral C2 macro-element. - Ming-Jun Lai; Alain Le Méhauté; Tatyana Sorokina (Comput. Aided Geom. Des., 2006)

Factorization of multivariate positive Laurent polynomials. - Jeffrey S. Geronimo; Ming-Jun Lai (J. Approx. Theory, 2006)

Construction of multivariate compactly supported prewavelets in L2 space and pre-Riesz bases in Sobolev spaces. - Ming-Jun Lai (J. Approx. Theory, 2006)

Spherical Splines for Data Interpolation and Fitting. - Victoria Baramidze; Ming-Jun Lai; C. K. Shum (SIAM J. Sci. Comput., 2006)

Spline functions on triangulations. - Ming-Jun Lai; Larry L. Schumaker (Cambridge University Press, 2007)

The convergence of three L1 spline methods for scattered data interpolation and fitting. - Ming-Jun Lai (J. Approx. Theory, 2007)

Bivariate Splines of Various Degrees for Numerical Solution of Partial Differential Equations. - Xianliang Hu; Danfu Han; Ming-Jun Lai (SIAM J. Sci. Comput., 2007)

The Convergence of a Central-Difference Discretization of Rudin-Osher-Fatemi Model for Image Denoising. - Ming-Jun Lai; Bradley J. Lucier; Jingyue Wang (SSVM, 2009)

A Domain Decomposition Method for Computing Bivariate Spline Fits of Scattered Data. - Ming-Jun Lai; Larry L. Schumaker (SIAM J. Numer. Anal., 2009)

Multivariate Splines and Their Applications. - Ming-Jun Lai (Encyclopedia of Complexity and Systems Science, 2009)

Popular Wavelet Families and Filters and Their Use. - Ming-Jun Lai (Encyclopedia of Complexity and Systems Science, 2009)

Convergence of discrete and penalized least squares spherical splines. - Victoria Baramidze; Ming-Jun Lai (J. Approx. Theory, 2011)

An Unconstrained ℓq Minimization with 0<q≤1 for Sparse Solution of Underdetermined Linear Systems. - Ming-Jun Lai; Jingyue Wang (SIAM J. Optim., 2011)

Augmented L1 and Nuclear-Norm Models with a Globally Linearly Convergent Algorithm - Ming-Jun Lai; Wotao Yin (CoRR, 2012)

Piecewise Linear Approximation of the Continuous Rudin-Osher-Fatemi Model for Image Denoising. - Ming-Jun Lai; Leopold Matamba Messi (SIAM J. Numer. Anal., 2012)

A Cr trivariate macro-element based on the Alfeld split of tetrahedra. - Ming-Jun Lai; Michael A. Matt (J. Approx. Theory, 2013)

Scattered data interpolation by bivariate splines with higher approximation order. - Tianhe Zhou; Ming-Jun Lai (J. Comput. Appl. Math., 2013)

Box Spline Wavelet Frames for Image Edge Analysis. - Weihong Guo; Ming-Jun Lai (SIAM J. Imaging Sci., 2013)

Augmented 퓁1 and Nuclear-Norm Models with a Globally Linearly Convergent Algorithm. - Ming-Jun Lai; Wotao Yin (SIAM J. Imaging Sci., 2013)

Improved Iteratively Reweighted Least Squares for Unconstrained Smoothed 퓁q Minimization. - Ming-Jun Lai; Yangyang Xu; Wotao Yin (SIAM J. Numer. Anal., 2013)

Rank-One Matrix Pursuit for Matrix Completion. - Zheng Wang 011; Ming-Jun Lai; Zhaosong Lu; Wei Fan 001; Hasan Davulcu; Jieping Ye (ICML, 2014)

Stochastic Coordinate Coding and Its Application for Drosophila Gene Expression Pattern Annotation. - Binbin Lin; Qingyang Li; Qian Sun 002; Ming-Jun Lai; Ian Davidson; Wei Fan 001; Jieping Ye (CoRR, 2014)

Scattered data interpolation with nonnegative preservation using bivariate splines and its application. - Ming-Jun Lai; Christof Meile (Comput. Aided Geom. Des., 2015)

The probabilistic estimates on the largest and smallest q-singular values of random matrices. - Ming-Jun Lai; Yang Liu 131 (Math. Comput., 2015)

Orthogonal Rank-One Matrix Pursuit for Low Rank Matrix Completion. - Zheng Wang 011; Ming-Jun Lai; Zhaosong Lu; Wei Fan 001; Hasan Davulcu; Jieping Ye (SIAM J. Sci. Comput., 2015)

On recursive refinement of convex polygons. - Ming-Jun Lai; George Slavov (Comput. Aided Geom. Des., 2016)

Sharp Sufficient Conditions for Stable Recovery of Block Sparse Signals by Block Orthogonal Matching Pursuit. - Jinming Wen; Zhengchun Zhou; Zilong Liu 001; Ming-Jun Lai; Xiaohu Tang (CoRR, 2016)

Polygonal Spline Spaces and the Numerical Solution of the Poisson Equation. - Michael S. Floater; Ming-Jun Lai (SIAM J. Numer. Anal., 2016)

A Compressive Sensing Approach to Community Detection with Applications. - Ming-Jun Lai; Daniel McKenzie (CoRR, 2017)

Parallel Multi-Block ADMM with o(1 / k) Convergence. - Wei Deng; Ming-Jun Lai; Zhimin Peng; Wotao Yin (J. Sci. Comput., 2017)

Semi-Supervised Cluster Extraction via a Compressive Sensing Approach. - Ming-Jun Lai; Daniel McKenzie (CoRR, 2018)

On DC based Methods for Phase Retrieval. - Meng Huang 002; Ming-Jun Lai; Abraham Varghese; Zhiqiang Xu 001 (CoRR, 2018)

Nonnegative data interpolation by spherical splines. - Victoria Baramidze; Ming-Jun Lai (J. Comput. Appl. Math., 2018)

A Bivariate Spline Method for Second Order Elliptic Equations in Non-divergence Form. - Ming-Jun Lai; Chunmei Wang (J. Sci. Comput., 2018)

An economical representation of PDE solution by using compressive sensing approach. - Hongmei Kang; Ming-Jun Lai; Xin Li 021 (Comput. Aided Des., 2019)

Graph Sparsification by Universal Greedy Algorithms. - Ming-Jun Lai; Jiaxin Xie; Zhiqiang Xu 001 (CoRR, 2020)

A Quasi-Orthogonal Matching Pursuit Algorithm for Compressive Sensing. - Ming-Jun Lai; Zhaiming Shen (CoRR, 2020)

A Minimization Approach for Constructing Generalized Barycentric Coordinates and Its Computation. - Chongyang Deng; Xiali Fan; Ming-Jun Lai (J. Sci. Comput., 2020)

Compressive Sensing for Cut Improvement and Local Clustering. - Ming-Jun Lai; Daniel McKenzie (SIAM J. Math. Data Sci., 2020)

The Kolmogorov Superposition Theorem can Break the Curse of Dimensionality When Approximating High Dimensional Functions. - Ming-Jun Lai; Zhaiming Shen (CoRR, 2021)

Construction of C1 polygonal splines over quadrilateral partitions. - Ming-Jun Lai; James Lanterman (Comput. Aided Geom. Des., 2022)

A Least Square Approach to Semi-supervised Local Cluster Extraction. - Ming-Jun Lai; Zhaiming Shen (CoRR, 2022)

The Harmonic GBC Function Map is a Bijection if the Target Domain is Convex. - Chongyang Deng; Tsung-wei Hu; Ming-Jun Lai (CoRR, 2022)

On Locality of Harmonic Generalized Barycentric Coordinates and Their Application to Solution of the Poisson Equation. - Chongyang Deng; Ming-Jun Lai (CoRR, 2022)

Semi-supervised Local Cluster Extraction by Compressive Sensing. - Zhaiming Shen; Ming-Jun Lai; Sheng Li 001 (CoRR, 2022)

A Multivariate Spline Based Collocation Method for Numerical Solution of Partial Differential Equations. - Ming-Jun Lai; Jinsil Lee (SIAM J. Numer. Anal., 2022)

Graph-based Semi-supervised Local Clustering with Few Labeled Nodes. - Zhaiming Shen; Ming-Jun Lai; Sheng Li 001 (IJCAI, 2023)

A Bivariate Spline based Collocation Method for Numerical Solution to Optimal Transport Problem. - Ming-Jun Lai; Jinsil Lee (CoRR, 2023)

A Compressed Sensing Based Least Squares Approach to Semi-supervised Local Cluster Extraction. - Ming-Jun Lai; Zhaiming Shen (J. Sci. Comput., 2023)

Trivariate Spline Collocation Methods for Numerical Solution to 3D Monge-Ampère Equation. - Ming-Jun Lai; Jinsil Lee (J. Sci. Comput., 2023)

The Optimal Rate for Linear KB-splines and LKB-splines Approximation of High Dimensional Continuous Functions and its Application. - Ming-Jun Lai; Zhaiming Shen (CoRR, 2024)

Multivariate Splines and Their Applications. - Ming-Jun Lai (CoRR, 2024)

Tree-based Ensemble Learning for Out-of-distribution Detection. - Zhaiming Shen; Menglun Wang; Guang Cheng; Ming-Jun Lai; Lin Mu; Ruihao Huang; Qi Liu; Hao Zhu (CoRR, 2024)

A Construction of Interpolating Space Curves with Any Degree of Geometric Continuity. - Tsung-wei Hu; Ming-Jun Lai (CoRR, 2024)

Local Clustering for Lung Cancer Image Classification via Sparse Solution Technique. - Jackson Hamel; Ming-Jun Lai; Zhaiming Shen; Ye Tian (CoRR, 2024)

Nonparametric Regression for 3D Point Cloud Learning. - Xinyi Li; Shan Yu; Yueying Wang; Guannan Wang; Li Wang 035; Ming-Jun Lai (J. Mach. Learn. Res., 2024)

Maximal volume matrix cross approximation for image compression and least squares solution. - Kenneth Allen; Ming-Jun Lai; Zhaiming Shen (Adv. Comput. Math., 2024)