Zuowei Shen
#92,976
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Chinese mathematician
Zuowei Shen's AcademicInfluence.com Rankings
Zuowei Shenmathematics Degrees
Mathematics
#5344
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#7525
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Number Theory
#203
World Rank
#260
Historical Rank
Algebra
#245
World Rank
#356
Historical Rank
Measure Theory
#1537
World Rank
#1910
Historical Rank

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Mathematics
Zuowei Shen's Degrees
- PhD Mathematics Peking University
- Bachelors Mathematics Peking University
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Why Is Zuowei Shen Influential?
(Suggest an Edit or Addition)According to Wikipedia, Zuowei Shen is a Chinese mathematician, and Tan Chin Tuan Centennial Professor at the National University of Singapore . Shen received his BSc in 1982 from Hohai University , MSc in 1987 and PhD in 1991 from University of Alberta. He first joined NUS as a lecturer at the Department of Mathematics in 1993; was promoted to professor in 2002 and distinguished professor in 2009. Shen was Head of Department of Mathematics from 2012 to 2014 and was appointed Dean of Science in 2014.
Zuowei Shen'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
- A Singular Value Thresholding Algorithm for Matrix Completion (2008) (5125)
- Framelets: MRA-based constructions of wavelet frames☆☆☆ (2003) (812)
- Affine Systems inL2(Rd): The Analysis of the Analysis Operator (1997) (739)
- Split Bregman Methods and Frame Based Image Restoration (2009) (720)
- Affine systems in L 2 ( IR d ) : the analysis of the analysis operator (1995) (509)
- Robust video denoising using low rank matrix completion (2010) (499)
- Frames and Stable Bases for Shift-Invariant Subspaces of L2(ℝd) (1995) (393)
- A framelet-based image inpainting algorithm (2008) (364)
- Linearized Bregman iterations for compressed sensing (2009) (335)
- Image restoration: Total variation, wavelet frames, and beyond (2012) (329)
- Blind motion deblurring from a single image using sparse approximation (2009) (316)
- Wavelet Algorithms for High-Resolution Image Reconstruction (2002) (266)
- Affine systems inL2 (ℝd) II: Dual systems (1997) (256)
- Weyl-Heisenberg Frames and Riesz Bases in L2(Rd). (1994) (237)
- Data-driven tight frame construction and image denoising (2014) (232)
- Framelet-Based Blind Motion Deblurring From a Single Image (2012) (232)
- Linearized Bregman Iterations for Frame-Based Image Deblurring (2009) (222)
- MRA-based wavelet frames and applications (2013) (208)
- Weyl-Heisenberg frames and Riesz bases in $L_2(\mathbb{R}^d)$ (1997) (195)
- Nontensor product wavelet packets in L 2 R s (1995) (195)
- Robust Video Restoration by Joint Sparse and Low Rank Matrix Approximation (2011) (192)
- Convergence of the linearized Bregman iteration for ℓ1-norm minimization (2009) (184)
- Tight frame: an efficient way for high-resolution image reconstruction (2004) (179)
- Multiresolution and wavelets (1994) (174)
- Refinable function vectors (1998) (170)
- Dictionary Learning for Sparse Coding: Algorithms and Convergence Analysis (2016) (159)
- Wavelet Frames and Image Restorations (2011) (154)
- Robust principal component analysis-based four-dimensional computed tomography (2011) (152)
- An algorithm for matrix extension and wavelet construction (1996) (148)
- Deep Network Approximation for Smooth Functions (2020) (134)
- Wavelet frame based blind image inpainting (2012) (131)
- Blind motion deblurring using multiple images (2009) (130)
- Wavelets and pre-wavelets in low dimensions (1992) (126)
- Compactly supported tight affine spline frames in L2(Rd) (1998) (116)
- Stability and orthonormality of multivariate refinable functions (1997) (116)
- PSEUDO-SPLINES, WAVELETS AND FRAMELETS (2007) (114)
- Deep Network Approximation Characterized by Number of Neurons (2019) (112)
- Cine Cone Beam CT Reconstruction Using Low-Rank Matrix Factorization: Algorithm and a Proof-of-Principle Study (2012) (111)
- Dual Wavelet Frames and Riesz Bases in Sobolev Spaces (2009) (108)
- Deconvolution: a wavelet frame approach (2007) (106)
- Multidimensional Interpolatory Subdivision Schemes (1997) (103)
- Simultaneous cartoon and texture inpainting (2010) (99)
- Convergence analysis of tight framelet approach for missing data recovery (2009) (99)
- Generalized Shift-Invariant Systems (2005) (97)
- Polynomial reproduction by symmetric subdivision schemes (2008) (93)
- An Accelerated Proximal Gradient Algorithm for Frame-Based Image Restoration via the Balanced Approach (2011) (89)
- L0 Norm Based Dictionary Learning by Proximal Methods with Global Convergence (2014) (86)
- X-Ray CT Image Reconstruction via Wavelet Frame Based Regularization and Radon Domain Inpainting (2013) (82)
- Multivariate Compactly Supported Fundamental Refinable Functions, Duals, and Biorthogonal Wavelets (1999) (82)
- Image Restoration: Wavelet Frame Shrinkage, Nonlinear Evolution PDEs, and Beyond (2017) (79)
- Frame based segmentation for medical images (2011) (76)
- On Existence and Weak Stability of Matrix Refinable Functions (1999) (76)
- Characterization of compactly supported refinable splines (1995) (74)
- Restoration of Chopped and Nodded Images by Framelets (2008) (71)
- Wavelets with Short Support (2006) (70)
- The Sobolev Regularity of Refinable Functions (2000) (70)
- Convergence of multidimensional cascade algorithm (1998) (67)
- Framelet based deconvolution (2010) (65)
- Image restoration: A wavelet frame based model for piecewise smooth functions and beyond (2016) (64)
- Surveillance Video Processing Using Compressive Sensing (2012) (63)
- Neural Network Approximation: Three Hidden Layers Are Enough (2020) (61)
- Simultaneously inpainting in image and transformed domains (2009) (57)
- Deep Learning via Dynamical Systems: An Approximation Perspective (2019) (57)
- Nonlinear Approximation via Compositions (2019) (54)
- Wavelet Leader multifractal analysis for texture classification (2009) (53)
- Image Restoration with Mixed or Unknown Noises (2014) (52)
- Data-Driven Multi-scale Non-local Wavelet Frame Construction and Image Recovery (2015) (51)
- A reweighted $l^2$ method for image restoration with Poisson and mixed Poisson-Gaussian noise (2015) (48)
- A framelet algorithm for enhancing video stills (2007) (47)
- Compactly supported (bi)orthogonal wavelets generated by interpolatory refinable functions (1999) (46)
- High-quality curvelet-based motion deblurring from an image pair (2009) (46)
- Image restoration by minimizing zero norm of wavelet frame coefficients (2016) (42)
- Construction of Compactly Supported Affine Frames in (1998) (41)
- Adaptive Multiresolution Analysis Structures and Shearlet Systems (2011) (41)
- Optimal Approximation Rate of ReLU Networks in terms of Width and Depth (2021) (41)
- Deep Network with Approximation Error Being Reciprocal of Width to Power of Square Root of Depth (2020) (40)
- Convergence analysis for iterative data-driven tight frame construction scheme (2015) (40)
- Distributional Solutions of Nonhomogeneous Discrete and Continuous Refinement Equations (2000) (37)
- Compactly Supported Symmetric C∞ Wavelets with Spectral Approximation Order (2008) (36)
- Image deconvolution using a characterization of sharp images in wavelet domain (2012) (34)
- Dual Gramian analysis: Duality principle and unitary extension principle (2015) (34)
- Construction of compactly supported biorthogonal wavelets (1999) (32)
- Construction of biorthogonal wavelets from pseudo-splines (2006) (32)
- Wavelet Frame Based Multiphase Image Segmentation (2013) (32)
- Wavelet deblurring algorithms for spatially varying blur from high-resolution image reconstruction (2003) (31)
- A Quantitative Analysis of the Effect of Batch Normalization on Gradient Descent (2018) (31)
- Duality for Frames (2016) (29)
- Symmetric and antisymmetric tight wavelet frames (2006) (29)
- Wavelets from the Loop Scheme (2005) (28)
- Symmetric canonical quincunx tight framelets with high vanishing moments and smoothness (2015) (28)
- Image Restoration: A Data-Driven Perspective (2015) (28)
- A Framelet-Based Approach for Image Inpainting (2005) (27)
- Multiscale representation of surfaces by tight wavelet frames with applications to denoising (2016) (27)
- The wavelet dimension function is the trace function of a shift-invariant system (2002) (27)
- High‐resolution image reconstruction with displacement errors: A framelet approach (2004) (26)
- Characterization of Sobolev spaces of arbitrary smoothness using nonstationary tight wavelet frames (2009) (26)
- Scattered data reconstruction by regularization in B-spline and associated wavelet spaces (2009) (25)
- Recovering Over-/Underexposed Regions in Photographs (2013) (25)
- Construction of compactly supported biorthogonal wavelets: II (1999) (24)
- Wavelet Frame Based Algorithm for 3D Reconstruction in Electron Microscopy (2014) (24)
- Tight periodic wavelet frames and approximation orders (2011) (23)
- Surveillance Video Analysis Using Compressive Sensing With Low Latency (2014) (23)
- Linear independence of pseudo-splines (2006) (23)
- Robust principle component analysis based four-dimensional computed tomography (2010) (21)
- Wavelet frame based surface reconstruction from unorganized points (2011) (20)
- Wavelet frame based scene reconstruction from range data (2010) (20)
- A pair of orthogonal frames (2007) (18)
- Wavelet Based Restoration of Images with Missing or Damaged Pixels (2011) (17)
- Directional Frames for Image Recovery: Multi-scale Discrete Gabor Frames (2016) (17)
- Computing the Sobolev Regularity of Refinable Functions by the Arnoldi Method (2001) (17)
- WAVELET FRAME BASED IMAGE RESTORATION WITH MISSING / DAMAGED PIXELS (2010) (16)
- Tight wavelet frames in low dimensions with canonical filters (2015) (16)
- Approximation Analysis of Convolutional Neural Networks ∗ (2019) (15)
- A data-adaptive knot selection scheme for fitting splines (2001) (15)
- Adaptive low rank and sparse decomposition of video using compressive sensing (2013) (15)
- Image Restoration: A General Wavelet Frame Based Model and Its Asymptotic Analysis (2016) (15)
- MRA-based wavelet frames and applications: image segmentation and surface reconstruction (2012) (14)
- Coherence Retrieval Using Trace Regularization (2017) (14)
- Image recovery via geometrically structured approximation (2016) (14)
- An Adaptive Time–Frequency Representation and its Fast Implementation (2007) (13)
- Wavelet frame based color image demosaicing (2013) (13)
- Extension of matrices with Laurent polynomial entries (1996) (13)
- Inpainting for Compressed Images (2010) (13)
- Examples of refinable componentwise polynomials (2007) (13)
- Mathematics and Computation in Imaging Science and Information Processing (2007) (12)
- Solvability of systems of linear operator equations (1994) (12)
- Gramian Analysis of Affine Bases and Affine Frames. (1995) (11)
- Gabor And Wavelet Frames (2007) (11)
- Construction of Schauder decomposition on banach spaces of periodic functions (1998) (11)
- Frames and Stable Bases for Subspaces of L 2 (i R D ): the Duality Principle of Weyl-heisenberg Sets* (2006) (11)
- Advanced motion compensation techniques for blocking artifacts reduction in 3-D video coding systems (2005) (11)
- Deep Network Approximation: Achieving Arbitrary Accuracy with Fixed Number of Neurons (2021) (10)
- On Ascertaining Inductively the Dimension of the Joint Kernel of Certain Commuting Linear Operators (1996) (10)
- A Unitary Extension Principle for Shearlet Systems (2009) (10)
- B-spline tight frame based force matching method (2018) (9)
- General interpolation on the lattice $h{\Bbb Z}^s$: Compactly supported fundamental solutions (1995) (9)
- Signal Integrity Analysis of High-Speed Single-Ended and Differential Vias (2008) (9)
- Multidimensional smoothing using hyperbolic interpolatory wavelets. (2004) (9)
- On B-Spline Framelets Derived from the Unitary Extension Principle (2011) (8)
- An analysis of wavelet frame based scattered data reconstruction (2017) (8)
- Approximation of frame based missing data recovery (2011) (8)
- Degenerate kernel schemes by wavelets for nonlinear integral equations on the real line (1995) (7)
- Robust Frame Based X-Ray CT Reconstruction (2016) (7)
- Dimension of certain kernel spaces of linear operators (1991) (7)
- A New Multiscale Representation for Shapes and Its Application to Blood Vessel Recovery (2009) (7)
- Multivariate Splines and Dimensions of Kernels of Linear Operators (1990) (6)
- Digital Gabor filters do generate MRA-based wavelet tight frames (2017) (6)
- Deep Network Approximation with Discrepancy Being Reciprocal of Width to Power of Depth (2020) (6)
- Hermite interpolation on the lattice Z d (1994) (6)
- COMPACTLY SUPPORTED TIGHT AFFINE (1997) (6)
- Digital Gabor filters with MRA structure (2018) (6)
- Tight Frame Based Method for High-Resolution Image Reconstruction (2010) (6)
- A wavelet method for high-resolution image reconstruction with displacement errors (2001) (5)
- Compression with Time-Frequency Localization Filters (2006) (5)
- A Wavelet Frame Method with Shape Prior for Ultrasound Video Segmentation (2016) (5)
- Subjective and Objective Comparison of Advanced Motion Compensation Methods for Blocking Artifact Reduction in a 3-D Wavelet Coding System (2006) (4)
- Proximal iterative hard thresholding methods for wavelet frame based image restoration (2014) (4)
- Componentwise polynomial solutions and distribution solutions of refinement equations (2009) (4)
- RECOVERING OVER/UNDER-EXPOSED REGIONS IN PHOTOGRAPHS (2013) (4)
- Interpolatory Wavelet Packets (2000) (4)
- Reenable Function Vectors (2007) (3)
- Resolution enhancement for video clips: tight frame approach (2005) (3)
- On Ascertaining Inductively the Dimension of the Joint Kernel of Certain Commuting Linear Operators, II (1996) (3)
- Investigating energy‐based pool structure selection in the structure ensemble modeling with experimental distance constraints: The example from a multidomain protein Pub1 (2018) (3)
- On the Convergence and Robustness of Batch Normalization (2018) (3)
- Phase retrieval: A data-driven wavelet frame based approach (2020) (2)
- Restoring chopped and nodded images by tight frames (2003) (2)
- ReLU Network Approximation in Terms of Intrinsic Parameters (2021) (2)
- Two-axis-scattering laser Doppler vibrometer for microstructures (2000) (2)
- Analysis and Approximation Theory Seminar University of Alberta Construction of Compactly Supported Biorthogonal Wavelets in L 2 (ir S ) (1997) (2)
- Aane Systems in L 2 (ir D ) Ii: Dual Systems Aane Systems in L 2 (ir D ) Ii: Dual Systems (1997) (2)
- Deep Network Approximation With Accuracy Independent of Number of Neurons∗ (2021) (1)
- High Dimensional Smoothing Based on Multilevel Analysis (2007) (1)
- DATA-DRIVEN NON-LOCAL WAVELET FRAME CONSTRUCTION AND IMAGE RESTORATION (2012) (1)
- Using Compressive Sensing With Low Latency (2014) (1)
- Birkhoff interpolation by Chebyshevian splines (1990) (1)
- Small Support Spline Riesz Wavelets in Low Dimensions (2011) (1)
- Analysis and Approximation Theory Seminar University of Alberta Multidimensional Interpolatory Subdivision Schemes (2007) (0)
- Multiscale Discrete Framelet Transform for Graph-Structured Signals (2020) (0)
- Compactly Supported Tight Aane Spline Frames in L 2 (ir D ) Compactly Supported Tight Aane Spline Frames in L 2 (ir D ) (2010) (0)
- X-Ray CT Image Reconstruction via Wavelet Frame Based Regularization and Radon Domain Inpainting (2012) (0)
- Apparent coherence loss in phase space tomography. (2017) (0)
- Interpolatory Wavelet Packets 1 (0)
- Simultaneous data recovery in image and transform domains (2013) (0)
- Coherence Retrieval Using Trace Regularization | SIAM Journal on Imaging Sciences | Vol. 11, No. 1 | Society for Industrial and Applied Mathematics (2018) (0)
- TWO ALGORITHMS ON MATRIX COMPLETION AND COMPRESSED SENSING (2009) (0)
- CONVERGENCE OF MULTIDIMENSIONAL CASCADEALGORITHMW (1998) (0)
- Mathematical Tools for Regularized Coherence Retrieval (2018) (0)
- Sparse Estimation: An MMSE Approach (2023) (0)
- 1 5 N ov 2 01 7 Coherence retrieval using trace regularization (2018) (0)
- A trace-regularized method for coherence retrieval (2017) (0)
- Analysis and Approximation Theory Seminar University of Alberta Wavelets and Pre-wavelets in Low Dimensions (2010) (0)
- A Hybrid Motion Compensated 3-D Video Coding System for Blocking Artifacts Reduction (2005) (0)
- Directional Frames for Image Recovery: Multi-scale Discrete Gabor Frames (2016) (0)
- Duality for Frames (2015) (0)
- Springer-verlag Electronic Production Hk 23 Xii 1997 0:45 A.m. Construction of Compactly Supported Aane Frames in L 2 (ir D ) 1. Wavelet Frames: What and Why? (1998) (0)
- Optimization in Machine Learning: A Distribution Space Approach (2020) (0)
- Data-Driven Multi-scale Non-local Wavelet Frame Construction and Image Recovery (2014) (0)
- Nummat Manuskript-nr. General Interpolation on the Lattice Hzz S : Compactly Supported Fundamental Solutions ? (1991) (0)
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