Ming-Jun Lai

Q: What Schools Are Affiliated With Ming-Jun Lai

Ming-Jun Lai is affiliated with the following schools: University of California, Berkeley, University of Georgia, Texas A&M University, National Taiwan University, University of Utah

Ming-Jun Lai's AcademicInfluence.com Rankings

Ming-Jun Lai

Mathematics

#6210

World Rank

#8644

Historical Rank

#1908

USA Rank

Applied Mathematics

#397

World Rank

#425

Historical Rank

#85

USA Rank

Measure Theory

#2788

World Rank

#3326

Historical Rank

#805

USA Rank

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Mathematics

Ming-Jun Lai's Degrees

PhD Mathematics University of California, Berkeley
Masters Mathematics University of California, Berkeley
Bachelors Mathematics National Taiwan University

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Why Is Ming-Jun Lai Influential?

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According to Wikipedia, Ming-Jun Lai is an American mathematician, currently a Professor of Mathematics at the University of Georgia. His area of research is splines and their numerical analysis. He has published a text on splines called Splines Functions on Triangulations. He was born in Hangzhou, China.

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Ming-Jun Lai's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Sparsest solutions of underdetermined linear systems via ℓq-minimization for 0 (2009) (781)
Spline functions on triangulations (2007) (470)
Parallel Multi-Block ADMM with o(1 / k) Convergence (2013) (397)
Improved Iteratively Reweighted Least Squares for Unconstrained Smoothed 퓁q Minimization (2013) (347)
An Unconstrained $\ell_q$ Minimization with $0q\leq1$ for Sparse Solution of Underdetermined Linear Systems (2011) (165)
Initial Boundary Value Problem for Two-Dimensional Viscous Boussinesq Equations (2011) (138)
On the approximation power of bivariate splines (1998) (131)
Augmented 퓁1 and Nuclear-Norm Models with a Globally Linearly Convergent Algorithm (2012) (110)
An Unconstrained ℓq Minimization with 0 (2011) (90)
Construction of multivariate compactly supported tight wavelet frames (2006) (89)
Orthogonal Rank-One Matrix Pursuit for Low Rank Matrix Completion (2014) (86)
Examples of bivariate nonseparable compactly supported orthonormal continuous wavelets (2000) (73)
Sharp Sufficient Conditions for Stable Recovery of Block Sparse Signals by Block Orthogonal Matching Pursuit (2016) (69)
The Multivariate Spline Method for Scattered Data Fitting and Numerical Solutions of Partial Differential Equations (2006) (68)
The null space property for sparse recovery from multiple measurement vectors (2011) (66)
Macro-elements and stable local bases for splines on Powell-Sabin triangulations (2003) (63)
Rank-One Matrix Pursuit for Matrix Completion (2014) (63)
Scattered data interpolation and approximation using bivariate C1 piecewise cubic polynomials (1996) (60)
Multivariate vertex splines and finite elements (1990) (57)
Bivariate splines for spatial functional regression models (2010) (55)
Bivariate Penalized Splines for Regression (2013) (54)
Macro-elements and stable local bases for splines on Clough-Tocher triangulations (2001) (54)
Construction of Bivariate Compactly Supported Biorthogonal Box Spline Wavelets with Arbitrarily High Regularities (1999) (50)
On bivariate super vertex splines (1990) (49)
On the Approximation Power of Splines on Triangulated Quadrangulations (1998) (49)
Factorization of multivariate positive Laurent polynomials (2005) (47)
Spherical Splines for Data Interpolation and Fitting (2006) (46)
Filling polygonal holes using C1 cubic triangular spline patches (2000) (45)
Trivariate spline approximations of 3D Navier-Stokes equations (2004) (42)
Bivariate splines for fluid flows (2004) (39)
Stochastic Coordinate Coding and Its Application for Drosophila Gene Expression Pattern Annotation (2014) (38)
Polygonal Spline Spaces and the Numerical Solution of the Poisson Equation (2016) (37)
Error bounds for minimal energy bivariate polynomial splines (2002) (37)
Fortran subroutines for B-nets of box splines on three- and four-directional meshes (1992) (36)
On Bivariate Vertex Splines (1985) (35)
A multivariate analog of Marsden's identity and a quasi-interpolation scheme (1987) (34)
On the digital filter associated with Daubechies' wavelets (1995) (33)
Sparse recovery with pre-Gaussian random matrices (2010) (32)
Construction of multivariate compactly supported orthonormal wavelets (2006) (32)
Geometric interpretation of smoothness conditions of triangular polynomial patches (1997) (32)
Multivariate Splines for Data Fitting and Approximation (2007) (31)
On convergence rate of the augmented Lagrangian algorithm for nonsymmetric saddle point problems (2005) (31)
Scattered Data Interpolation Using C 2 Supersplines of Degree Six (1997) (31)
On the o(1/k) Convergence and Parallelization of the Alternating Direction Method of Multipliers (2013) (25)
IMPROVED ITERATIVELY REWEIGHTED LEAST SQUARES FOR UNCONSTRAINED (2013) (25)
Algorithms for generating B-nets and graphically displaying spline surfaces on three- and four-directional meshes (1991) (23)
Method of virtual components for constructing redundant filter banks and wavelet frames (2007) (23)
On C 2 quintic spline functions over triangulations of Powell-Sabin's type (1996) (22)
A Unified Convergence Theory for Newton-Type Methods for Zeros of Nonlinear Operators in Banach Spaces (2002) (22)
Error Bounds for Minimal Energy Interpolatory Spherical Splines (2004) (22)
Approximation order from bivariate C1-cubics on a four-directional mesh is full (1994) (21)
Bivariate spline method for numerical solution of steady state Navier–Stokes equations over polygons in stream function formulation (2000) (19)
A Domain Decomposition Method for Computing Bivariate Spline Fits of Scattered Data (2009) (19)
On multivariate Vertex splines and Applications (1987) (19)
The Convergence of a Central-Difference Discretization of Rudin-Osher-Fatemi Model for Image Denoising (2009) (19)
A New Kind of Trivariate C1 Macro-element (2004) (18)
Energy minimization method for scattered data Hermite interpolation (2008) (18)
Spherical Spline Solution to a PDE on the Sphere (2005) (17)
Nonseparable symmetric wavelets with short support (1999) (17)
Box Spline Wavelet Frames for Image Edge Analysis (2013) (16)
Asymptotic formulae of multivariate Bernstein approximation (1992) (16)
Efficient Spatial Modeling Using the SPDE Approach With Bivariate Splines (2015) (15)
Examples of bivariate nonseparable continuous compactly supported orthonormal wavelets (1997) (15)
METHODS FOR CONSTRUCTING NONSEPARABLE COMPACTLY SUPPORTED ORTHONORMAL WAVELETS (2002) (15)
Construction of trivariate compactly supported biorthogonal box spline wavelets (2003) (14)
Spline Functions on Triangulations: Triangulations and Quadrangulations (2007) (14)
Bivariate splines for ozone concentration forecasting (2012) (13)
Piecewise Linear Approximation of the Continuous Rudin-Osher-Fatemi Model for Image Denoising (2012) (12)
The multivariate spline method for numerical solution of partial differential equations and scattered data fitting (2007) (12)
On Dual Functionals of polynomials in B-Form (1991) (12)
On the divided differences of the remainder in polynomial interpolation (2004) (12)
On Convergence of the Alternating Projection Method for Matrix Completion and Sparse Recovery Problems (2017) (12)
A Class of Compactly Supported Orthonormal B-Spline Wavelets (2005) (11)
Scattered data interpolation with nonnegative preservation using bivariate splines and its application (2015) (11)
>Efficient Estimation of Partially Linear Models for Data on Complicated Domains by Bivariate Penalized Splines over Triangulations (2020) (11)
L1 Spline Methods for Scattered Data Interpolation and Approximation (2004) (11)
Spline Functions on Triangulations: Cr Macro-element Spaces (2007) (10)
The probabilistic estimates on the largest and smallest q-singular values of random matrices (2014) (9)
Parallel Multi-Block ADMM with o(1 / k) Convergence (2016) (9)
A New Estimate of Restricted Isometry Constants for Sparse Solutions (2011) (9)
Construction of multivariate compactly supported prewavelets in L2 space and pre-Riesz bases in Sobolev spaces (2006) (9)
Two Results on the Schatten p-Quasi-Norm Minimization for Low-Rank Matrix Recovery (2012) (9)
A characterization theorem of multivariate splines in blossoming form (1991) (9)
Bivariate spline method for numerical solution of time evolution Navier‐Stokes equations over polygons in stream function formulation (2003) (8)
Stable Sparse Recovery with Three Unconstrained Analysis Based Approaches (2018) (8)
Scattered data interpolation by bivariate splines with higher approximation order (2013) (8)
On Computation of Battle-Lemarié's Wavelets (1994) (8)
Sparse Solutions of Underdetermined Linear Systems and Their Applications (2021) (7)
Trivariate Cr Polynomial Macroelements (2007) (7)
Bivariate spline solution of time dependent nonlinear PDE for a population density over irregular domains. (2015) (7)
On recursive refinement of convex polygons (2016) (7)
Bernstein–Bézier Methods for Bivariate Polynomials (2007) (7)
Multivariate Splines and Their Applications (2009) (7)
Bivariate box spline wavelets in Sobolev spaces (1998) (6)
C Quintic Spline Interpolation Over Tetrahedral Partitions (2002) (6)
Tight Wavelet Frames over Bounded Domains (2006) (6)
A Cr trivariate macro-element based on the Alfeld split of tetrahedra (2013) (6)
Augmented l1 and Nuclear-Norm Models with a Globally Linearly Convergent Algorithm. Revision 1 (2012) (6)
The Method of Virtual Components in the Multivariate Setting (2010) (6)
On Two Nonlinear Biharmonic Evolution Equations: Existence, Uniqueness and Stability (2004) (6)
Numerical Simulations on Two Nonlinear Biharmonic Evolution Equations (2004) (6)
A Polygonal Spline Method for General Second-Order Elliptic Equations and Its Applications (2016) (5)
An Adaptive Triangulation Method for Bivariate Spline Solutions of PDEs (2016) (5)
Convergence of local variational spline interpolation (2008) (5)
Construction of Bivariate Symmetric Orthonormal Wavelets With Short Support (2011) (5)
Full-field micro surface profilometry using digital fringe projection with spatial encoding principle (2005) (5)
A Bivariate Spline Method for Second Order Elliptic Equations in Non-divergence Form (2016) (5)
Convergence of discrete and penalized least squares spherical splines (2011) (5)
The convergence of three L1 spline methods for scattered data interpolation and fitting (2007) (5)
On Schwarz's domain decomposition methods for elliptic boundary value problems (2000) (5)
Trivariate C Polynomial Macro-Elements (2006) (5)
On DC based Methods for Phase Retrieval (2018) (4)
On multi-level bases for elliptic boundary value problems (1996) (4)
Galerkin method with splines for total variation minimization (2019) (4)
Sparse Solutions of Underdetermined Linear Systems (2021) (4)
A New H2 Regularity Condition of the Solution to Dirichlet Problem of the Poisson Equation and Its Applications (2019) (4)
Quadrilateral Macroelements (2002) (4)
Quintic Spline Interpolation Over Tetrahedral Partitions (2002) (4)
Algorithms for G1 connection of multiple parametric bicubic NURBS surfaces (2000) (4)
Digital filters associated with bivariate box spline wavelets (1997) (4)
The Sparsest Solution of Underdetermined Linear System by ` q minimization for 0 < q ≤ 1 (2008) (3)
A Multivariate Spline based Collocation Method for Numerical Solution of Partial Differential Equations (2021) (3)
Scattered Data Interpolation by C 2 Quintic Splines Using Energy Minimization 1997 Scattered Data Interpolation by C 2 Quintic Splines Using Energy Minimization (1997) (3)
An economical representation of PDE solution by using compressive sensing approach (2019) (3)
Construction of Bivariate Nonseparable Compactly Supported Orthonormal Multiwavelets with Arbitrarily High Regularity (1998) (3)
Spline Functions on Triangulations: Trivariate Splines (2007) (2)
A Minimization Approach for Constructing Generalized Barycentric Coordinates and Its Computation (2020) (2)
On Convergence of the Alternating Projection Method for Matrix Completion and Sparse Recovery Problems (2018) (2)
Construction of Compactly Supported Tight Wavelets Frames (2)
An octahedral C 2 macro-element ✩ (2006) (2)
Removal of Gaps among Compound C 1 Bi-Cubic Parametric B-spline Surfaces (2006) (2)
Convergence of a Central Difference Discretization of ROF Model for Image Denoising (2009) (2)
Method of Virtual Components for Constructing Wavelet Frames (2004) (2)
Graph Sparsification by Universal Greedy Algorithms (2020) (2)
Convergence Analysis of a Finite Difference Scheme for the Gradient Flow associated with the ROF Model (2013) (1)
A Compressed Sensing Based Least Squares Approach to Semi-supervised Local Cluster Extraction (2022) (1)
Prewavelet solution to Poisson equations (2007) (1)
Spline Functions on Triangulations: B-Patches (2007) (1)
Trivariate spline approximation of divergence-free vector fields (2004) (1)
Bivariate box splines for image processing (1996) (1)
Nonparametric Regression for 3D Point Cloud Learning (2021) (1)
On the Number of Tight Wavelet Frame Generators associated with Multivariate Box Splines (2008) (1)
The convergence of a numerical method for total variation flow (2021) (1)
On the Schatten p-quasi-norm minimization for low-rank matrix recovery (2021) (1)
Compressive Sensing for Cut Improvement and Local Clustering (2018) (1)
On Strömberg′s Spline-Wavelets (1994) (1)
Nonnegative data interpolation by spherical splines (2018) (1)
Construction of C 1 Polygonal Splines over Quadrilateral Partitions : Part I (2018) (1)
Orthogonal Rank-One Matrix Pursuit for Matrix Completion (2013) (1)
Bivariate Splines for Numerical Solution of Helmholtz Equation with Large Wave Numbers (2018) (1)
Construction of C1 polygonal splines over quadrilateral partitions (2021) (1)
A Bivariate Spline Approach for Image Enhancement (2010) (1)
Scattered Data Fitting with Nonnegative Preservation using Bivariate Splines and Its Application (2014) (1)
Spline Functions on Triangulations: Approximation Power of Spline Spaces (2007) (0)
Adaptive Triangulation Methods for Bivariate Spline Solutions of the Poisson Equation (2016) (0)
On Strr Omberg's Spline{wavelets (1993) (0)
A Bivariate Spline Method for Second Order Elliptic Equations in Non-divergence Form (2017) (0)
Bivariate Splines for Hurricane Path Forecasting (2010) (0)
Survey of Quantification and Distance Functions Used for Internet-based Weak-link Sociological Phenomena (2013) (0)
The Harmonic GBC Function Map is a Bijection if the Target Domain is Convex (2022) (0)
THE PROBABILISTIC ESTIMATES ON THE LARGEST AND SMALLEST -SINGULAR VALUES OF (2015) (0)
Spline Functions on Triangulations: Trivariate Macro-element Spaces (2007) (0)
Popular Wavelet Families and Filters and Their Use (2009) (0)
A Compressive Sensing Approach to Cluster Extraction (2018) (0)
Construction of Bivariate Compactly SupportedBiorthogonal Box Spline Wavelets withArbitrarily (2007) (0)
On Globally Linear Convergence of Dual Gradient Descent Method for Sparse Solutions (2015) (0)
TheMultivariate Splines and Their Applications (0)
The Probabilistic Estimates on the Largest and Smallest q-Singular Values of Pre-Gaussian Random Matrices (2010) (0)
Semi-supervised Local Cluster Extraction by Compressive Sensing (2022) (0)
A Bivariate Spline Approach for Image De-Noise (2009) (0)
Sharp Su ffi cient Conditions for Stable Recovery of Block Sparse Signals by Block Orthogonal Matching Pursuit ✩ (2018) (0)
An octahedral C2 macro-element (2006) (0)
On Locality of Harmonic Generalized Barycentric Coordinates and Their Application to Solution of the Poisson Equation (2022) (0)
NONUNIFORM VARIATIONAL INTERPOLATORY REFINEMENT (2009) (0)
Edge Detections Using Box Spline Tight Frames (2009) (0)
Semi-Supervised Cluster Extraction via a Compressive Sensing Approach (2018) (0)
A Minimization Approach for Constructing Generalized Barycentric Coordinates and Its Computation (2020) (0)
Spline Functions on Triangulations: Dimension of Spline Spaces (2007) (0)
Spline Functions on Triangulations: Bernstein–Bézier Methods for Spline Spaces (2007) (0)
L G ] 1 6 A pr 2 01 4 ORTHOGONAL RANK-ONE MATRIX PURSUIT FOR LOW RANK MATRIX COMPLETION (2018) (0)
Some Results on Numeri al Divided Di eren eFormulas (2008) (0)
( BV , L 2 ) Multiscale Hierarchical Decomposition : Modes and Rates of Convergence (2014) (0)
A New Projected Gradient Algorithm for Total Variation Based Image Denoising (2011) (0)
Bivariate Spline Spaces on Fvs-triangulations (2007) (0)
Bivariate Box Splines (2007) (0)
Trivariate Spline Collocation Methods for Numerical Solution to 3D Monge-Ampère Equation (2022) (0)
A Compressive Sensing Approach to Community Detection with Applications (2017) (0)
A BIVARIATE SPLINE SOLUTION TO THE HELMHOLTZ EQUATION WITH LARGE WAVE NUMBER (2018) (0)
A STUDY ON THE LARGEST AND SMALLEST q-SINGULAR VALUES OF RANDOM MATRICES (2012) (0)
Spline Functions on Triangulations: Stable Local Minimal Determining Sets (2007) (0)
Spline Functions on Triangulations: C 1 Macro-element Spaces (2007) (0)
On Digital Filters Associated with Bivariate Box Spline Wavelets Edics| Sp 2.1.1, Sp 2.4.3, Sp 2.4.4 1. Introduction (1997) (0)
On the Digital Filter Associated withBivariate Box Spline (1997) (0)
Removal of Gaps among Compound C 1 Bi-cubic B-spline Surface Patches ? (2007) (0)
Spline Functions on Triangulations: Approximation Power of Spherical Splines (2007) (0)
A Bivariate Spline Solution to the Exterior Helmholtz Equation and Its Applications (2018) (0)
Spline Functions on Triangulations: Trivariate Polynomials (2007) (0)
Spline Functions on Triangulations: C 2 Macro-element Spaces (2007) (0)
THE RAYLEIGH-RITZ METHOD FOR TOTAL VARIATION MINIMIZATION USING BIVARIATE SPLINE FUNCTIONS ON TRIANGULATIONS (2014) (0)
A Quasi-Orthogonal Matching Pursuit Algorithm for Compressive Sensing (2020) (0)
A Mathematical and Sociological Analysis of Google Search Algorithm (2013) (0)
A Least Square Approach to Semi-supervised Local Cluster Extraction (2022) (0)
New H Regularity Conditions for the Solution to Dirichlet Problem of the Poisson Equation and their Applications (2018) (0)
Volume Data Interpolation using Tensor Products of Spherical and Radial Splines (2004) (0)
The Kolmogorov Superposition Theorem can Break the Curse of Dimensionality When Approximating High Dimensional Functions (2021) (0)
The Bijectivity of the Map Based on Harmonic Gbc Functions (2022) (0)

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Published Works

Other Resources About Ming-Jun Lai

What Schools Are Affiliated With Ming-Jun Lai?

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