Ming-Jun Lai

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Non-commercial Research and Educational Use including without Limitation Use in Instruction at Your Institution, Sending It to Specific Colleagues That You Know, and Providing a Copy to Your Institution's Administrator. All Other Uses, Reproduction and Distribution, including without Limitation Comm

Ming-Jun Lai, M. Lai, Min-Pei Ling, 2022 .

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

Ming-Jun Lai, Bradley J. Lucier, Jingyue Wang, 2009, SSVM.

A Compressive Sensing Approach to Community Detection with Applications pdf

Ming-Jun Lai, Daniel McKenzie, M. Lai, 2017, ArXiv.

An economical representation of PDE solution by using compressive sensing approach

Ming-Jun Lai, Hongmei Kang, Xin Li, 2019, Comput. Aided Des..

Trivariate spline approximations of 3D Navier-Stokes equations

Ming-Jun Lai, Gerard Awanou, M. Lai, 2004, Math. Comput..

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

Yang Liu, Ming-Jun Lai, M. Lai, 2014, Math. Comput..

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

Ming-Jun Lai, Leopold Matamba Messi, M. Lai, 2012, SIAM J. Numer. Anal..

Box Spline Wavelet Frames for Image Edge Analysis

Ming-Jun Lai, Weihong Guo, M. Lai, 2013, SIAM J. Imaging Sci..

On DC based Methods for Phase Retrieval pdf

Meng Huang, Ming-Jun Lai, Zhiqiang Xu, 2018, Springer Proceedings in Mathematics & Statistics.

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

Qingyang Li, Jieping Ye, Qian Sun, 2014, ArXiv.

Scattered data interpolation by bivariate splines with higher approximation order

Ming-Jun Lai, Tianhe Zhou, M. Lai, 2013, J. Comput. Appl. Math..

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

Ming-Jun Lai, M. Lai, 1992, Numerical Algorithms.

Factorization of multivariate positive Laurent polynomials

Ming-Jun Lai, Jeffrey S. Geronimo, 2006, J. Approx. Theory.

Improved Iteratively Reweighted Least Squares for Unconstrained Smoothed 퓁q Minimization

Wotao Yin, Ming-Jun Lai, Yangyang Xu, 2013, SIAM J. Numer. Anal..

On multivariate Vertex splines and Applications

Charles K. Chui, Ming-Jun Lai, C. Chui, 1987, Topics in Multivariate Approximation.

Scattered data interpolation and approximation using bivariate C1 piecewise cubic polynomials

Ming-Jun Lai, M. Lai, 1996, Comput. Aided Geom. Des..

Algorithms for G1 connection of multiple parametric bicubic NURBS surfaces

Charles K. Chui, Ming-Jun Lai, Jian-ao Lian, 2004, Numerical Algorithms.

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

Charles K. Chui, Ming-Jun Lai, C. Chui, 1991, Comput. Aided Geom. Des..

Error bounds for minimal energy bivariate polynomial splines

Larry L. Schumaker, Ming-Jun Lai, Manfred von Golitschek, 2002, Numerische Mathematik.

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

Larry L. Schumaker, Ming-Jun Lai, L. Schumaker, 2003, Math. Comput..

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

Larry L. Schumaker, Ming-Jun Lai, L. Schumaker, 2001, Numerische Mathematik.

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

Ming-Jun Lai, Christof Meile, 2015, Comput. Aided Geom. Des..

Construction of trivariate compactly supported biorthogonal box spline wavelets

Ming-Jun Lai, Wenjie He, 2003, J. Approx. Theory.

On the digital filter associated with Daubechies' wavelets

Ming-Jun Lai, M. Lai, 1995, IEEE Trans. Signal Process..

Semi-Supervised Cluster Extraction via a Compressive Sensing Approach pdf

Ming-Jun Lai, Daniel McKenzie, M. Lai, 2018, ArXiv.

A New Kind of Trivariate C1 Macro-element

Ming-Jun Lai, Alain Le Méhauté, 2004, Adv. Comput. Math..

Examples of bivariate nonseparable compactly supported orthonormal continuous wavelets

Ming-Jun Lai, Wenjie He, 2000, IEEE Trans. Image Process..

Orthogonal Rank-One Matrix Pursuit for Low Rank Matrix Completion

Jieping Ye, Hasan Davulcu, Ming-Jun Lai, 2014, SIAM J. Sci. Comput..

Nonseparable symmetric wavelets with short support

Ming-Jun Lai, David W. Roach, M. Lai, 1999, Optics & Photonics.

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

Ming-Jun Lai, Michael A. Matt, 2013, J. Approx. Theory.

Bivariate box splines for image processing

Ming-Jun Lai, M. Lai, 1996, Optics & Photonics.

Convergence of discrete and penalized least squares spherical splines

Ming-Jun Lai, Victoria Baramidze, M. Lai, 2011, J. Approx. Theory.

A characterization theorem of multivariate splines in blossoming form

Ming-Jun Lai, M. Lai, 1991, Comput. Aided Geom. Des..

L1 Spline Methods for Scattered Data Interpolation and Approximation

Ming-Jun Lai, Paul Wenston, 2004, Adv. Comput. Math..

On recursive refinement of convex polygons

Ming-Jun Lai, George Slavov, M. Lai, 2016, Comput. Aided Geom. Des..

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

Ming-Jun Lai, Paul Wenston, M. Lai, 2000, Numerische Mathematik.

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

Ming-Jun Lai, M. Lai, 2007, J. Approx. Theory.

A Mathematical and Sociological Analysis of Google Search Algorithm

Ming-Jun Lai, Dawn Robinson, 2013 .

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

Zhengchun Zhou, Xiaohu Tang, Zilong Liu, 2016, Applied and Computational Harmonic Analysis.

Rank-One Matrix Pursuit for Matrix Completion

Jieping Ye, Hasan Davulcu, Ming-Jun Lai, 2014, ICML.

Ming-Jun Lai, M. Lai, 2009, Encyclopedia of Complexity and Systems Science.

Spline functions on triangulations

Larry L. Schumaker, Ming-Jun Lai, L. Schumaker, 2007, Encyclopedia of mathematics and its applications.

Construction of multivariate compactly supported orthonormal wavelets

Ming-Jun Lai, 2006, Adv. Comput. Math..

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

Ming-Jun Lai, M. Lai, 1994, Comput. Aided Geom. Des..

On the o(1/k) Convergence and Parallelization of the Alternating Direction Method of Multipliers

Wotao Yin, Ming-Jun Lai, Wei Deng, 2013 .

An Unconstrained ℓq Minimization with 0

Ming-Jun Lai, Jingyue Wang, M. Lai, 2011, SIAM J. Optim..

Bivariate box spline wavelets in Sobolev spaces

Ming-Jun Lai, Wenjie He, 1998, Optics & Photonics.

Bernstein–Bézier Methods for Bivariate Polynomials

Larry L. Schumaker, Ming-Jun Lai, 2007 .

Digital filters associated with bivariate box spline wavelets

Ming-Jun Lai, Wenjie He, M. Lai, 1997, J. Electronic Imaging.

Full-field micro surface profilometry using digital fringe projection with spatial encoding principle

Ming-Jun Lai, Liang-Chia Chen, Chui-Chen Liao, 2005 .

On the approximation power of bivariate splines

Larry L. Schumaker, Ming-Jun Lai, L. Schumaker, 1998, Adv. Comput. Math..

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

Wotao Yin, Ming-Jun Lai, M. Lai, 2012, SIAM J. Imaging Sci..

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

Wotao Yin, Zhimin Peng, Ming-Jun Lai, 2013, Journal of Scientific Computing.

Polygonal Spline Spaces and the Numerical Solution of the Poisson Equation

Ming-Jun Lai, Michael S. Floater, M. Lai, 2016, SIAM J. Numer. Anal..

Multivariate Splines and Their Applications

Ming-Jun Lai, M. Lai, 2024, Encyclopedia of Complexity and Systems Science.

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

Larry L. Schumaker, Ming-Jun Lai, 2009, SIAM J. Numer. Anal..

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

Ming-Jun Lai, Chunmei Wang, M. Lai, 2016, J. Sci. Comput..

On the Schatten p-quasi-norm minimization for low-rank matrix recovery

Song Li, Ming-Jun Lai, Yang Liu, 2021, Applied and Computational Harmonic Analysis.

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

Ming-Jun Lai, Zhaiming Shen, 2021, ArXiv.

Sparse Solutions of Underdetermined Linear Systems and Their Applications

Yang Wang, Ming-Jun Lai, M. Lai, 2021 .

A Multivariate Spline based Collocation Method for Numerical Solution of Partial Differential Equations pdf

Ming-Jun Lai, Jinsil Lee, 2021, ArXiv.

On Dual Functionals of polynomials in B-Form

Ming-Jun Lai, M. Lai, 1991 .

Two Results on the Schatten p-Quasi-Norm Minimization for Low-Rank Matrix Recovery

Song Li, Ming-Jun Lai, Huimin Wang, 2012 .

A Unified Convergence Theory for Newton-Type Methods for Zeros of Nonlinear Operators in Banach Spaces

Chong Li, Xinghua Wang, Ming-Jun Lai, 2002 .

Multivariate Splines for Data Fitting and Approximation

Ming-Jun Lai, M. Lai, 2007 .

Bivariate splines for fluid flows

Ming-Jun Lai, M. Lai, Paul R Wenston, 2004 .

Bivariate spline solution of time dependent nonlinear PDE for a population density over irregular domains.

Ming-Jun Lai, George Slavov, M. Lai, 2015, Mathematical biosciences.

The Sparsest Solution of Underdetermined Linear System by ` q minimization for 0 < q ≤ 1

Ming-Jun Lai, Simon Foucart, 2008 .

The Method of Virtual Components in the Multivariate Setting

Ming-Jun Lai, Alexander Petukhov, M. Lai, 2010 .

On the Approximation Power of Splines on Triangulated Quadrangulations

Larry L. Schumaker, Ming-Jun Lai, L. Schumaker, 1998 .

Bivariate splines for ozone concentration forecasting

Ming-Jun Lai, Serge Guillas, Bree Ettinger, 2012 .

A Polygonal Spline Method for General Second-Order Elliptic Equations and Its Applications

Ming-Jun Lai, M. Lai, James Lanterman, 2016 .

Construction of Bivariate Compactly Supported Biorthogonal Box Spline Wavelets with Arbitrarily High Regularities

Ming-Jun Lai, Wenjie He, M. Lai, 1999 .

Bivariate spline method for numerical solution of steady state Navier–Stokes equations over polygons in stream function formulation

Ming-Jun Lai, Paul R Wenston, 2000 .

A multivariate analog of Marsden's identity and a quasi-interpolation scheme

Charles K. Chui, Ming-Jun Lai, C. Chui, 1987 .

Asymptotic formulae of multivariate Bernstein approximation

Ming-Jun Lai, 1992 .

An octahedral C 2 macro-element ✩

Ming-Jun Lai, Tatyana Sorokina, Alan Le Méhauté, 2006 .

Multivariate vertex splines and finite elements

Charles K. Chui, Ming-Jun Lai, C. Chui, 1990 .

Initial Boundary Value Problem for Two-Dimensional Viscous Boussinesq Equations

Ming-Jun Lai, Ronghua Pan, Kun Zhao, 2011 .

On C 2 quintic spline functions over triangulations of Powell-Sabin's type

Ming-Jun Lai, M. Lai, 1996 .

Trivariate Cr Polynomial Macroelements

Larry L. Schumaker, Ming-Jun Lai, L. Schumaker, 2007 .

Tight Wavelet Frames over Bounded Domains

Ming-Jun Lai, M. Lai, Kyunglim Nam, 2006 .

Triangulated spherical splines for geopotential reconstruction

Ming-Jun Lai, C. K. Shum, Victoria Baramidze, 2009 .

On Two Nonlinear Biharmonic Evolution Equations: Existence, Uniqueness and Stability

Ming-Jun Lai, M. Lai, Chun Liu †, 2004 .

On bivariate super vertex splines

Charles K. Chui, Ming-Jun Lai, C. Chui, 1990 .

On Bivariate Vertex Splines

Ming-Jun Lai, C. K. Chui, C. Chui, 1985 .

Spline Functions on Triangulations: Triangulations and Quadrangulations

Larry L. Schumaker, Ming-Jun Lai, 2007 .

Prewavelet solution to Poisson equations

Ming-Jun Lai, Haipeng Liu, 2007 .

The Multivariate Spline Method for Scattered Data Fitting and Numerical Solutions of Partial Differential Equations

Ming-Jun Lai, Gerard Awanou, M. Lai, 2006 .

Spherical Spline Solution to a PDE on the Sphere

Ming-Jun Lai, Victoria Baramidze, 2005 .

C Quintic Spline Interpolation Over Tetrahedral Partitions

Ming-Jun Lai, Gerard Awanou, M. Lai, 2002 .

Construction of Bivariate Symmetric Orthonormal Wavelets With Short Support

Ming-Jun Lai, David W. Roach, 1999 .

Bivariate splines for spatial functional regression models

Ming-Jun Lai, Serge Guillas, M. Lai, 2010 .

On Strömberg′s Spline-Wavelets

Ming-Jun Lai, 1994 .

Energy minimization method for scattered data Hermite interpolation

Ming-Jun Lai, Danfu Han, Tianhe Zhou, 2008 .

On convergence rate of the augmented Lagrangian algorithm for nonsymmetric saddle point problems

Ming-Jun Lai, Gerard Awanou, M. Lai, 2005 .

A New Estimate of Restricted Isometry Constants for Sparse Solutions

Ming-Jun Lai, M. Lai, Louis Y. Liu, 2011 .

METHODS FOR CONSTRUCTING NONSEPARABLE COMPACTLY SUPPORTED ORTHONORMAL WAVELETS

Ming-Jun Lai, 2002 .

Trivariate C Polynomial Macro-Elements

Larry L. Schumaker, Ming-Jun Lai, L. Schumaker, 2006 .

Removal of Gaps among Compound C 1 Bi-Cubic Parametric B-spline Surfaces

Ming-Jun Lai, Jian-ao Lian, M. Lai, 2006 .

Bivariate Spline Method for Numerical Solution of Time Evolution Navier-Stokes Equations over Polygo

Ming-Jun Lai, Chun Liu, Paul R Wenston, 1998 .

Quintic Spline Interpolation Over Tetrahedral Partitions

Ming-Jun Lai, Gerard Awanou, M. Lai, 2002 .

On Computation of Battle-Lemarié's Wavelets

Ming-Jun Lai, M. Lai, 1994 .

The multivariate spline method for numerical solution of partial differential equations and scattered data fitting

Ming-Jun Lai, Gerard Awanou, M. Lai, 2007 .

Sparse Solutions of Underdetermined Linear Systems

Yang Wang, Ming-Jun Lai, M. Lai, 2021 .

Efficient Spatial Modeling Using the SPDE Approach With Bivariate Splines

Ming-Jun Lai, Serge Guillas, Xiaoyu Liu, 2015, 1503.03761.

Method of Virtual Components for Constructing Wavelet Frames

Ming-Jun Lai, Alexander Petukhov, M. Lai, 2004 .

Error Bounds for Minimal Energy Interpolatory Spherical Splines

Ming-Jun Lai, Victoria Baramidze, M. Lai, 2004 .

A Class of Compactly Supported Orthonormal B-Spline Wavelets

Ming-Jun Lai, Okkyung Cho, 2005 .

Numerical Simulations on Two Nonlinear Biharmonic Evolution Equations

Ming-Jun Lai, M. Lai, Chun Liu †, 2004 .

>Efficient Estimation of Partially Linear Models for Data on Complicated Domains by Bivariate Penalized Splines over Triangulations

Ming-Jun Lai, Guannan Wang, M. Lai, 2020 .

Bivariate Penalized Splines for Regression

Ming-Jun Lai, Li Wang, M. Lai, 2013 .

Construction of multivariate compactly supported tight wavelet frames

Ming-Jun Lai, Joachim Stöckler, M. Lai, 2006 .

Sparse recovery with pre-Gaussian random matrices

Ming-Jun Lai, Simon Foucart, S. Foucart, 2010 .