D-Index & Metrics Best Publications

D-Index & Metrics

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
Engineering and Technology D-index 35 Citations 10,835 84 World Ranking 3551 National Ranking 379

Overview

What is he best known for?

The fields of study he is best known for:

  • Mathematical analysis
  • Artificial intelligence
  • Algebra

His primary areas of investigation include Algorithm, Image restoration, Artificial intelligence, Computer vision and Deblurring. His Algorithm research is multidisciplinary, incorporating elements of Singular value, Combinatorics and Minification. His study in Image restoration is interdisciplinary in nature, drawing from both Wavelet and Bregman method.

His study focuses on the intersection of Artificial intelligence and fields such as Pattern recognition with connections in the field of Four-Dimensional Computed Tomography, Dimension and Matrix. The study incorporates disciplines such as Pixel, Impulse noise, Real image and Outlier in addition to Deblurring. His work carried out in the field of Sparse approximation brings together such families of science as Sparse matrix, Noise reduction and Tight frame.

His most cited work include:

  • A Singular Value Thresholding Algorithm for Matrix Completion (3961 citations)
  • Split Bregman Methods and Frame Based Image Restoration (536 citations)
  • A framelet-based image inpainting algorithm (272 citations)

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

Jian-Feng Cai mainly investigates Algorithm, Rank, Compressed sensing, Artificial intelligence and Matrix. His research in Algorithm intersects with topics in Hankel matrix, Mathematical optimization, Minification and Projection. His Rank research incorporates elements of Subspace topology, Sampling, Combinatorics, Thresholding and Gradient descent.

His Artificial intelligence research is multidisciplinary, incorporating perspectives in Computer vision and Pattern recognition. Low-rank approximation, Matrix completion, Sparse matrix, Robust principal component analysis and Matrix decomposition are among the areas of Matrix where the researcher is concentrating his efforts. While the research belongs to areas of Matrix norm, he spends his time largely on the problem of Singular value, intersecting his research to questions surrounding Interior point method.

He most often published in these fields:

  • Algorithm (45.24%)
  • Rank (24.60%)
  • Compressed sensing (23.02%)

What were the highlights of his more recent work (between 2018-2021)?

  • Algorithm (45.24%)
  • Rank (24.60%)
  • Regularization (11.11%)

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

Jian-Feng Cai mostly deals with Algorithm, Rank, Regularization, Hankel matrix and Combinatorics. His studies in Algorithm integrate themes in fields like Matrix, Noise reduction, Projection and Feature. His work deals with themes such as Gradient descent, Subspace topology and Outlier, which intersect with Rank.

The Regularization study combines topics in areas such as Data-driven and Compressed sensing. Jian-Feng Cai combines subjects such as Manifold, Quadratic equation, Order and Restricted isometry property with his study of Combinatorics. In his research on the topic of Singular value decomposition, Image restoration, Wavelet, Toeplitz matrix and Piecewise is strongly related with Low-rank approximation.

Between 2018 and 2021, his most popular works were:

  • Fast and Provable Algorithms for Spectrally Sparse Signal Reconstruction via Low-Rank Hankel Matrix Completion (35 citations)
  • Accelerated Alternating Projections for Robust Principal Component Analysis (16 citations)
  • Fast Single Image Reflection Suppression via Convex Optimization (11 citations)

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

  • Mathematical analysis
  • Artificial intelligence
  • Algebra

Jian-Feng Cai spends much of his time researching Rank, Hankel matrix, Subspace topology, Combinatorics and Robustness. Rank is frequently linked to Thresholding in his study. His studies deal with areas such as Time domain, Algorithm, Signal reconstruction and Order as well as Hankel matrix.

His research in Subspace topology tackles topics such as Sparse matrix which are related to areas like Rate of convergence, Robust principal component analysis, Singular value decomposition and Low-rank approximation. His Combinatorics study combines topics from a wide range of disciplines, such as Function and Quadratic equation. His Robustness research includes themes of Projection method, Discrete mathematics, Minification, Space and Computation.

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)

4347 Citations

Split Bregman Methods and Frame Based Image Restoration

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

724 Citations

A framelet-based image inpainting algorithm

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

363 Citations

Linearized Bregman iterations for compressed sensing

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

340 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)

336 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)

313 Citations

Framelet-Based Blind Motion Deblurring From a Single Image

Jian-Feng Cai;Hui Ji;Chaoqiang Liu;Zuowei Shen.
IEEE Transactions on Image Processing (2012)

241 Citations

Linearized Bregman Iterations for Frame-Based Image Deblurring

Jian-Feng Cai;Stanley Osher;Zuowei Shen.
Siam Journal on Imaging Sciences (2009)

217 Citations

Data-driven tight frame construction and image denoising

Jian-Feng Cai;Hui Ji;Zuowei Shen;Gui-Bo Ye.
Applied and Computational Harmonic Analysis (2014)

212 Citations

CONVERGENCE OF THE LINEARIZED BREGMAN ITERATION FOR ℓ1-NORM MINIMIZATION

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

198 Citations

Best Scientists Citing Jian-Feng Cai

Zuowei Shen

Zuowei Shen

National University of Singapore

Publications: 58

Zhouchen Lin

Zhouchen Lin

Peking University

Publications: 52

Ting-Zhu Huang

Ting-Zhu Huang

University of Electronic Science and Technology of China

Publications: 43

Yun Fu

Yun Fu

Northeastern University

Publications: 41

Michael K. Ng

Michael K. Ng

University of Hong Kong

Publications: 39

Hui Ji

Hui Ji

National University of Singapore

Publications: 39

Junbin Gao

Junbin Gao

University of Sydney

Publications: 38

Yi Ma

Yi Ma

University of California, Berkeley

Publications: 36

Shuicheng Yan

Shuicheng Yan

National University of Singapore

Publications: 34

Xiaobo Qu

Xiaobo Qu

Chalmers University of Technology

Publications: 33

Yonina C. Eldar

Yonina C. Eldar

Weizmann Institute of Science

Publications: 32

Stanley Osher

Stanley Osher

University of California, Los Angeles

Publications: 30

Wotao Yin

Wotao Yin

Alibaba Group (China)

Publications: 29

Zhengming Ding

Zhengming Ding

Tulane University

Publications: 29

Angshul Majumdar

Angshul Majumdar

Indraprastha Institute of Information Technology Delhi

Publications: 26

Profile was last updated on December 6th, 2021.
Research.com Ranking is based on data retrieved from the Microsoft Academic Graph (MAG).
The ranking d-index is inferred from publications deemed to belong to the considered discipline.

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