D-Index & Metrics Best Publications
Mathematics
Singapore
2023

D-Index & Metrics D-index (Discipline H-index) only includes papers and citation values for an examined discipline in contrast to General H-index which accounts for publications across all disciplines.

Discipline name D-index D-index (Discipline H-index) only includes papers and citation values for an examined discipline in contrast to General H-index which accounts for publications across all disciplines. Citations Publications World Ranking National Ranking
Mathematics D-index 61 Citations 19,119 157 World Ranking 350 National Ranking 1
Computer Science D-index 56 Citations 17,093 151 World Ranking 2640 National Ranking 37

Research.com Recognitions

Awards & Achievements

2023 - Research.com Mathematics in Singapore Leader Award

2022 - Research.com Mathematics in Singapore Leader Award

2020 - Fellow, The World Academy of Sciences

2019 - SIAM Fellow For contributions to approximation theory, wavelet theory, and image processing.

2017 - Fellow of the American Mathematical Society For contributions to approximation theory, wavelet theory, and image processing.

Overview

What is he best known for?

The fields of study he is best known for:

  • Mathematical analysis
  • Artificial intelligence
  • Algebra

His main research concerns Algorithm, Wavelet, Artificial intelligence, Image restoration and Computer vision. His Algorithm research includes elements of Image, Numerical analysis and Minification. His studies deal with areas such as Mathematical analysis and Iterative reconstruction as well as Wavelet.

Within one scientific family, Zuowei Shen focuses on topics pertaining to Pattern recognition under Artificial intelligence, and may sometimes address concerns connected to Bregman method and Noise measurement. His Matrix study incorporates themes from Refinable function and Interior point method. Zuowei Shen combines subjects such as Combinatorics and Rank with his study of Matrix norm.

His most cited work include:

  • A Singular Value Thresholding Algorithm for Matrix Completion (3961 citations)
  • Framelets: MRA-based constructions of wavelet frames☆☆☆ (668 citations)
  • Affine Systems in L2(Rd): The Analysis of the Analysis Operator. (550 citations)

What are the main themes of his work throughout his whole career to date?

The scientist’s investigation covers issues in Wavelet, Algorithm, Artificial intelligence, Mathematical analysis and Computer vision. His Wavelet study combines topics in areas such as Regularization and Image restoration. His studies in Algorithm integrate themes in fields like Inverse problem, Image, Mathematical optimization, Tomography and Iterative reconstruction.

His Mathematical analysis research is multidisciplinary, incorporating perspectives in Refinable function, Pure mathematics and Applied mathematics. His Sparse approximation research includes themes of Matrix and Sparse matrix. His Compressed sensing study combines topics from a wide range of disciplines, such as Background subtraction and Rank.

He most often published in these fields:

  • Wavelet (43.18%)
  • Algorithm (31.82%)
  • Artificial intelligence (26.70%)

What were the highlights of his more recent work (between 2014-2021)?

  • Wavelet (43.18%)
  • Algorithm (31.82%)
  • Image restoration (18.75%)

In recent papers he was focusing on the following fields of study:

Wavelet, Algorithm, Image restoration, Combinatorics and Artificial intelligence are his primary areas of study. In the subject of general Wavelet, his work in Wavelet packet decomposition is often linked to Shot noise, thereby combining diverse domains of study. Zuowei Shen integrates Algorithm with Optical field in his research.

Zuowei Shen interconnects Noise reduction, Numerical analysis, Mathematical analysis, Asymptotic analysis and Imaging science in the investigation of issues within Image restoration. His research in Combinatorics intersects with topics in Hölder condition, Smoothness and Function. His work deals with themes such as Machine learning, Computer vision and Pattern recognition, which intersect with Artificial intelligence.

Between 2014 and 2021, his most popular works were:

  • Dictionary Learning for Sparse Coding: Algorithms and Convergence Analysis (112 citations)
  • Image Restoration: Wavelet Frame Shrinkage, Nonlinear Evolution PDEs, and Beyond (51 citations)
  • Image restoration: A wavelet frame based model for piecewise smooth functions and beyond (47 citations)

In his most recent research, the most cited papers focused on:

  • Mathematical analysis
  • Algebra
  • Artificial intelligence

Zuowei Shen spends much of his time researching Image restoration, Wavelet, Algorithm, Combinatorics and Mathematical analysis. His Wavelet research is under the purview of Artificial intelligence. His work carried out in the field of Artificial intelligence brings together such families of science as Machine learning and Data mining, Big data.

Sparse approximation is closely connected to Mathematical optimization in his research, which is encompassed under the umbrella topic of Algorithm. His study in Combinatorics is interdisciplinary in nature, drawing from both Hölder condition, Lipschitz continuity and Product. His research in Mathematical analysis focuses on subjects like Applied mathematics, which are connected to Nonlinear evolution, Frame based, Partial differential equation, Total variation model and Gravitational singularity.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Best Publications

A Singular Value Thresholding Algorithm for Matrix Completion

Jian-Feng Cai;Emmanuel J. Candès;Zuowei Shen.
Siam Journal on Optimization (2010)

5476 Citations

Affine Systems in L2(Rd): The Analysis of the Analysis Operator.

Amos Ron;Zuowei Shen.
Journal of Functional Analysis (1995)

942 Citations

Framelets: MRA-based constructions of wavelet frames☆☆☆

Ingrid Daubechies;Bin Han;Amos Ron;Zuowei Shen.
Applied and Computational Harmonic Analysis (2003)

905 Citations

Split Bregman Methods and Frame Based Image Restoration

Jian-Feng Cai;Stanley J. Osher;Zuowei Shen.
Multiscale Modeling & Simulation (2010)

767 Citations

Robust video denoising using low rank matrix completion

Hui Ji;Chaoqiang Liu;Zuowei Shen;Yuhong Xu.
computer vision and pattern recognition (2010)

552 Citations

Frames and Stable Bases for Shift-Invariant Subspaces of L2(IRd)

Amos Ron;Zuowei Shen.
Canadian Journal of Mathematics (1995)

427 Citations

A framelet-based image inpainting algorithm

Jian-Feng Cai;Raymond H. Chan;Zuowei Shen.
Applied and Computational Harmonic Analysis (2008)

384 Citations

Linearized Bregman iterations for compressed sensing

Jian-Feng Cai;Stanley J. Osher;Zuowei Shen.
Mathematics of Computation (2009)

359 Citations

Image restoration: Total variation, wavelet frames, and beyond

Jian Feng Cai;Bin Dong;Stanley Osher;Zuowei Shen.
Journal of the American Mathematical Society (2012)

351 Citations

Blind motion deblurring from a single image using sparse approximation

Jian-Feng Cai;Hui Ji;Chaoqiang Liu;Zuowei Shen.
computer vision and pattern recognition (2009)

347 Citations

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