Jianfeng CAI
蔡剑锋
PhD in Mathematics
The Chinese University of Hong Kong, 2007

Professor
Department of Mathematics



(852) 3469 2248
jfcai@ust.hk
Room 3436
Personal Web

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Google Scholar
Mo4v5iwAAAAJ

ORCID
0000-0003-2571-570X

ResearcherID
A-2613-2012

Scopus ID
22939847400




Research Interest Publications Projects Teaching Assignment RPG Supervision Space used




Research Interest

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Computational harmonic analysis
Image processing
Data analysis
Optimization
Numerical linear algebra



Publications

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All Years 83 2022 2 2021 4 2020 7 2019 6 2018 5 2017 4 2016 55

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2022 2

Image Restoration: Structured Low Rank Matrix Framework For Piecewise Smooth Functions And Beyond
Applied and Computational Harmonic Analysis, v. 56, January 2022, p. 26-60
Cai, Jianfeng; Choi, Jae Kyu; Li, Jingyang; Wei, ke Article
Sparse Signal Recovery From Phaseless Measurements Via Hard Thresholding Pursuit
Applied and Computational Harmonic Analysis, v. 56, January 2022, p. 367-390
Cai, Jianfeng; Li, Jingzhi; Lu, Xiliang; You, Juntao Article

2021 4

Accelerated Structured Alternating Projections for Robust Spectrally Sparse Signal Recovery
IEEE Transactions on Signal Processing, v. 69, 6 January 2021, article number 9316310, p. 809-821
Cai, Hanqin; Cai, Jianfeng; Wang, Tianming; Yin, Guojian Article
An Automatic Denoising Method For NMR Spectroscopy Based On Low-Rank Hankel Model
IEEE Transactions on Instrumentation and Measurement, v. 70, 1 September 2021, article number 6010612
Qiu, Tianyu; Liao, Wenjing; Huang, Yihui; Wu, Jinyu; Guo, Di; Liu, Dongbao; Wang, Xin; Cai, Jianfeng; Hu, Bingwen; Qu, Xiaobo Article
Fast Cadzow's Algorithm and a Gradient Variant
Journal of Scientific Computing, v. 88, (2), August 2021, article number 41
Wang, Haifeng; Cai, Jianfeng; Wang, Tianming; Wei, Ke Article
Scalable Incremental Nonconvex Optimization Approach for Phase Retrieval
Journal of Scientific Computing, v. 87, (2), May 2021, article number 43
Li, Ji; Cai, Jianfeng; Zhao, Hongkai Article

2020 7

A stochastic alternating minimization method for sparse phase retrieval
数学杂志=Journal of Mathematics, v. 40, (4), 2020, p. 379-388
Cai, Jianfeng; Jiao, Yuling; Lu, Xiliang; You, Juntao Article
Data Driven Tight Frame for Compressed Sensing MRI Reconstruction via Off-the-Grid Regularization
SIAM Journal on Imaging Sciences, v. 13, (3), 2020, p. 1272-1301
Cai, Jianfeng; Choi, Jae Kyu; Wei, Ke Article
Guarantees of riemannian optimization for low rank matrix completion
Inverse Problems and Imaging, v. 14, (2), April 2020, p. 233-265
Wei, Ke; Cai, Jianfeng; Chan, Tony Fan-cheong; Leung, Shing Yu Article
Multi-Direction Dictionary Learning Based Depth Map Super-Resolution With Autoregressive Modeling
IEEE Transactions on Multimedia, v. 22, (6), June 2020, article number 8861360, p. 1470-1484
Wang, Jin; Xu, Wei; Cai, Jianfeng; Zhu, Qing; Shi, Yunhui; Yin, Baocai Article
Robust Inexact Alternating Optimization for Matrix Completion with Outliers
Journal of Computational Mathematics, v. 38, (2), February 2020, p. 337-354
Li, Ji; Cai, Jianfeng; Zhao, Hongkai Article
Towards the optimal construction of a loss function without spurious local minima for solving quadratic equations
IEEE Transactions on Information Theory, v. 66, (5), May 2020, article number 8918236, p. 3242-3260
Li, Zhenzhen; Cai, Jianfeng; Wei, Ke Article
Image Inpainting Based on Multi-frequency Probabilistic Inference Model
MM '20: Proceedings of the 28th ACM International Conference on Multimedia / Association for Computing Machinery. New York : Association for Computing Machinery, 2020, p. 1-9
Wang, Jin; Wang, Chen; Huang, Qingming; Shi, Yunhui; Cai, Jianfeng; Zhu, Qing; Yin, Baocai Conference paper

2019 6

Accelerated Alternating Projections for Robust Principal Component Analysis
Journal of Machine Learning Research, v. 20, February 2019, article number 20
Cai, HanQin; Cai, Jian-Feng; Wei, Ke Article
Fast and provable algorithms for spectrally sparse signal reconstruction via low-rank Hankel matrix completion
Applied and Computational Harmonic Analysis, v. 46, (1), January 2019, p. 94-121
Cai, Jianfeng; Wang, Tianming; Wei, Ke Article
Fast Rank-One Alternating Minimization Algorithm for Phase Retrieval
Journal of Scientific Computing, v. 79, (1), April 2019, p. 128-147
Cai, Jian-Feng; Liu, Haixia; Wang, Yang Article
Data-driven method for 3D axis-symmetric object reconstruction from single cone-beam projection data
ISICDM 2019: Proceedings of the Third International Symposium on Image Computing and Digital Medicine, August 2019, p. 288-292, ACM International Conference Proceeding Series
Luo, Shousheng; Meng, Ruyue; Wei, Suhua; Cai, Jianfeng; Tai, Xuecheng; Wang, Yang Conference paper
Data-driven tight frame for Cryo-EM image denoising and conformational classification
2018 IEEE Global Conference on Signal and Information Processing, GlobalSIP 2018 - Proceedings, February 2019, article number 8646614, p. 544-548
Xian, Yin; Gu, Hanlin; Wang, Wei; Huang, Xuhui; Yao, Yuan; Wang, Yang; Cai, Jianfeng Conference paper
Fast Single Image Reflection Suppression via Convex Optimization
Proceedings of the IEEE Computer Society Conference on Computer Vision and Pattern Recognition, v. 2019, June 2019, p. 8133-8141
Yang, Yang; Ma, Wenye; Zheng, Yin; Cai, Jianfeng; Xu, Weiyu Conference paper

2018 5

Data recovery on a manifold from linear samples: theory and computation
Annals of Mathematical Sciences and Applications, v. 3, (1), March 2018, p. 337-365
Cai, Jianfeng; Rong, Yi; Wang, Yang; Xu, Zhiqiang Article
Spectral Compressed Sensing via Projected Gradient Descent
SIAM Journal on Optimization, v. 28, (3), September 2018, p. 2625-2653
Cai, Jianfeng; Wang, Tianming; Wei, Ke Article
Vandermonde factorization of hankel matrix for complex exponential signal recovery-application in fast NMR spectroscopy
IEEE Transactions on Signal Processing, v. 66, (21), November 2018, article number 8457300, p. 5520-5533
Ying, Jiaxi; Cai, Jianfeng; Guo, Di; Tang, Gongguo; Chen, Zhong; Qu, Xiaobo Article
Exploiting the Structure Effectively and Efficiently in Low-Rank Matrix Recovery
Handbook of Numerical Analysis, volume 19 / Series Editors: Professor Qiang Du. Elsevier, 2018, p. 21-51, Ch. 2
Cai, Jianfeng; Wei, Ke Book chapter
Separation-Free Super-Resolution from Compressed Measurements is Possible: an Orthonormal Atomic Norm Minimization Approach
IEEE International Symposium on Information Theory - Proceedings, v. 2018-June, June 2018, article number 8437560, p. 76-80
Xu, Weiyu; Yi, Jirong; Dasgupta, Soura; Cai, Jianfeng; Jacob, Mathews; Cho, Myong Conference paper

2017 4

Hankel Matrix Nuclear Norm Regularized Tensor Completion for N-dimensional Exponential Signals
IEEE Transactions on Signal Processing, v. 65, (14), July 2017, p. 3702-3717
Ying, Jiaxi; Lu, Hengfa; Wei, Qingtao; Cai, Jianfeng; Guo, Di; Wu, Jihui; Chen, Zhong; Qu, Xiaobo Article
Subspace clustering by (k,k)-sparse matrix factorization
Inverse Problems and Imaging, v. 11, (3), June 2017, p. 539-551
Liu, Haixia; Cai, Jianfeng; Wang, Yang Article
Accelerated Magnetic Resonance Spectroscopy with Vandermonde Factorization
Proceedings of the Annual International Conference of the IEEE Engineering in Medicine and Biology Society, EMBS, September 2017, article number 8037620, p. 3537-3540
Qu, Xiaobo; Ying, Jiaxi; Cai, Jianfeng; Chen, Zhong Conference paper
Large Scale 2D Spectral Compressed Sensing in Continuous Domain
ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings, IEEE, 2017, p. 5905-5909, Article number 7953289
Cai, Jianfeng; Xu, Weiyu; Yang, Yang Conference paper

2016 9

A Framelet-Based Iterative Maximum-Likelihood Reconstruction Algorithm for Spectral CT
Inverse Problems, v. 32, (11), October 2016, article number 115021
Wang, Yingmei; Wang, Ge; Mao, Shuwei; Cong, Wenxiang; Ji, Zhilong; Cai, Jianfeng; Ye, Yangbo Article
A Spectral Interior CT By A Framelet-Based Reconstruction Algorithm
Journal of X-Ray Science and Technology, v. 24, (6), 2016, p. 771-785
Wang, Yingmei; Wang, Ge; Mao, Shuwei; Cong, Wenxiang; Ji, Zhilong; Cai, Jian-Feng; Ye, Yangbo Article
Fast Multiclass Dictionaries Learning with Geometrical Directions in MRI Reconstruction
IEEE Transactions on Biomedical Engineering, v. 63, (9), September 2016, article number 7337391, p. 1850-1861
Zhan, Zhifang; Cai, Jianfeng; Guo, Di; Liu, Yunsong; Chen, Zhong; Qu, Xiaobo Article
Guarantees of Riemannian Optimization for Low Rank Matrix Recovery
SIAM Journal on Matrix Analysis and Applications, v. 37, (3), 2016, p. 1198-1222
Wei, Ke; Cai, Jianfeng; Chan, Tony F.; Leung, Shing Yu Article
Image restoration: A wavelet frame based model for piecewise smooth functions and beyond
Applied and Computational Harmonic Analysis, v. 41, (1), July 2016, p. 94-138
Cai, Jianfeng; Dong, Bin; Shen, Zuowei Article
Projected Iterative Soft-thresholding Algorithm for Tight Frames in Compressed Sensing Magnetic Resonance Imaging
IEEE Transactions on Medical Imaging, v. 35, (9), September 2016, article number 7448403, p. 2130-2140
Liu, Yunsong; Zhan, Zhiang; Cai, Jianfeng; Guo, Di; Chen, Zhong; Qu, Xiaobu Article
Fast Alternating Projected Gradient Descent Algorithms for Recovering Spectrally Sparse Signals
ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings, v. 2016-May, May 2016, article number 7472556, p. 4638-4642
Cho, Myung; Cai, Jian-Feng; Liu, Suhui; Eldar, Yonina C.; Xu, Weiyu Conference paper
Precise Phase Transition of Total Variation Minimization
Proceedings of 2016 IEEE International Conference on Acoustics, Speech, and Signal Processing, IEEE , 2016, p. 4518-4522
Zhang, Bingwen; Xu, Weiyu; Cai, Jianfeng; Lai, Lifeng Conference paper
Robust Recovery of Complex Exponential Signals from Random Gaussian Projections via Low Rank Hankel Matrix Reconstruction
Applied and Computational Harmonic Analysis, v. 41, (2), September 2016, p. 470-490
Cai, Jianfeng; Qu, Xiaobo; Xu, Weiyu; Ye, Guibo Conference paper

2015 5

Accelerated NMR Spectroscopy with Low-Rank Reconstruction
Angewandte Chemie - International Edition, v. 54, (3), January 2015, p. 852-854
Qu, Xiaobo; Mayzel, Maxim; Cai, Jian Feng; Chen, Zhong; Orekhov, Vladislav Article
Balanced sparse model for tight frames in compressed sensing magnetic resonance imaging
PLoS ONE, v. 10, (4), April 2015, article number e0119584
Liu, Yunsong; Cai, Jian Feng; Zhan, Zhifang; Guo, Di; Ye, Jing; Chen, Zhong; Qu, Xiaobo Article
Block Iterative Reweighted Algorithms for Super-Resolution of Spectrally Sparse Signals
IEEE Signal Processing Letters, v. 22, (12), December 2015, article number 7268862, p. 2319-2323
Cho, Myung; Mishra, Kumar Vijay; Cai, Jianfeng; Xu, Weiyu Article
Data-Driven Tight Frame for Multi-Channel Images and Its Application to Joint Color-Depth Image Reconstruction
Journal of the Operations Research Society of China, v. 3, (2), June 2015, article number 2, p. 99-115
Wang, Jin; Cai, Jianfeng Article
A fast algorithm for reconstruction of spectrally sparse signals in super-resolution
Wavelets and Sparsity XVI, Edited by Manos Papadakis, Vivek K. Goyal, Dimitri Van De Ville. Bellingham, WA : SPIE, 2015, Proceedings of SPIE Vol. 9597
Cai, Jianfeng; Liu, Suhui; Xu, Weiyu Conference paper

2014 4

Cine cone beam CT reconstruction using low-rank matrix factorization: algorithm and a proof-of-princple study
IEEE Transactions on Medical Imaging, v. 33, (8), 2014, article number 6803058, p. 1581-1591
Cai, Jian Feng; JIa, Xun; Gao, Hao; Jiang, Steve; Shen, Zuowei; Zhao, Hongkai Article
Data-driven tight frame construction and image denoising
Applied and Computational Harmonic Analysis, v. 37, (1), July 2014, p. 89-105
Cai, Jianfeng; Ji, Hui; Shen, Zuowei; Ye, Guibo Article
Incoherent Dictionary Learning for Sparse Representation Based Image Denoising
2014 IEEE International Conference on Image Processing, ICIP 2014, January 2014, article number 7025929, p. 4582-4586
Wang, Jin; Cai, Jianfeng; Shi, Yunhui; Yin, Baocai Conference paper
Precise Semidefinite Programming Formulation of Atomic Norm Minimization for Recovering D-dimensional (D>=2) Off-the-grid Frequencies
2014 Information Theory and Applications Workshop, ITA 2014 - Conference Proceedings, 2014, article number 6804267
Xu, Weiyu; Cai, Jianfeng; Mishra, Kumar Vijay; Cho, Myung; Kruger, Anton Conference paper

2013 6

Adaptive tight frame based medical image reconstruction: proof-of-concept study in computed tomography
Inverse Problems, v. 29, (12), December 2013, article number 125006
Zhou, Weifeng; Cai, Jianfeng; Gao, Hao Article
Fast Singular Value Thresholding without Singular Value Decomposition
Methods and Applications of Analysis, v. 20, (4), 2013, p. 335-352
Cai, Jianfeng; Stanley, Osher Article
Low-rank regularization for learning gene expression programs
PLoS ONE, v. 8, (12), December 2013, article number e82146
Ye, Guibo; Tang, Mengfan; Cai, Jianfeng; Nie, Qing; Xie, Xiaohui Article
Sparse Error Correction from Nonlinear Measurements with Applications in Bad Data Detection for Power Networks
IEEE Transactions on Signal Processing, v. 61, (24), 2013, article number 6603360, p. 6175-6187
Xu, Weiyu; Wang, Meng; Cai, Jianfeng; Tang, Ao Article
Fast Sparsity-based Orthogonal Dictionary Learning and Image Restoration
Proceedings of the IEEE International Conference on Computer Vision, 2013, article number 6751532, p. 3384-3391
Bao, Chenglong; Cai, Jianfeng; Ji, Hui Conference paper
Guarantees of Total Variation Minimization for Signal Recovery
2013 51st Annual Allerton Conference on Communication, Control, and Computing (Allerton 2013), Institute of Electrical and Electronics Engineers (IEEE), 2013, p. 1266-1271
Cai, Jianfeng; Xu, Weiyu Conference paper

2012 3

Framelet Based Blind Motion Deblurring from a Single Image
IEEE Transactions on Image Processing, v.21, (2), February 2012, Article number 5981391, p. 562-572
Cai, Jian-Feng; Ji, Hui; Liu, Chaoqiang; Shen, Zuowei Article
Image Restoration: Total Variation; Wavelet Frames; and Beyond
Journal of the American Mathematical Society, v. 25, (4), 2012, p. 1033-1089
Cai, Jianfeng; Dong, Bin; Osher, Stanley; Shen, Zuowei Article
Strongly Convex Programming for Exact Matrix Completion and Robust Principal Component Analysis
Inverse Problems and Imaging, v. 6, (2), 2012, p. 357-372
Zhang, Hui; Cai, Jianfeng; Cheng, Lizhi; Zhu, Jubo Article

2011 4

Approximation of frame based missing data recovery
Applied and Computational Harmonic Analysis, v. 31, (2), September 2011, p. 185-204
Cai, Jian-Feng; Shen, Zuowei; Ye, Guibo Article
Multigrid algorithm from cyclic reduction for Markovian queueing networks
Applied Mathematics and Computation, v. 217, (16), 15 April 2011, p. 6990-7000
Yang, Shu-Ling; Cai, Jian-Feng; Sun, Hai-Wei Article
Robust Principle Component Analysis Based Four-Dimensional Computed Tomography
Physics in Medicine and Biology, v.56, (11), 2011, p. 3181-3198
Gao, Hao; Cai, Jianfeng; Shen, Zuowei; Zhao, Hongkai Article
TU‐C‐214‐03: Markerless Tumor Tracking via Clustering on Low‐Rank Fluoroscopic Images for Image‐Guided Lung Cancer Radiotherapy
Medical Physics, v. 38, (6), June, 2011, p. 3756
Huang, Wei; Jia, Xun; Dong, Bin; Gu, Xuejun; Gervino, Laura; Gao, Hao; Cai, Jianfeng; Jiang, Steve B. Article

2010 5

Fast Two-Phase Image Deblurring under Impulse Noise
Journal of Mathematical Imaging and Vision, v. 36, Issue 1, January 2010, p. 46-53
Cai, Jian-Feng; Chan, Raymond H.; Nikolova, Mila Article
Framelet based deconvolution
Journal of Computational Mathematics, v. 28, Issue 3, May 2010, p. 289-308
Cai, Jian-Feng; Shen, Zuowei Article
Inpainting for Compressed Images
Applied and Computational Harmonic Analysis, Volume 29, Issue 3, November 2010, p. 368–381
Cai, Jianfeng; Ji, Hui; Shang, Fuchun; Shen, Zuowei Article
Simultaneous Cartoon and Texture Inpainting
Inverse Problems and Imaging, v. 4, Issue 3, August 2010, p. 379-395
Cai, Jianfeng; Chan, Raymond H.; Shen, Zuowei Article
Tight Frame Based Method for High-Resolution Image Reconstruction
Proceedings to the Conference on Wavelet Analysis and its Application, Zhuhai, China, August, 2007, Contemporary Applied Mathematics: Wavelet Methods in Mathematical Analysis and Engineering, v. 14, 2010, p. 1-36
Cai, Jianfeng; Chan, Raymond; Shen, Lixin; Shen, Zuowei Article

2009 9

Blind motion deblurring using multiple images
Journal of Computational Physics, v. 228, Issue 14, 1 August 2009, p. 5057-5071
Cai, Jian-Feng; Ji, Hui; Liu, Chaoqiang; Shen, Zuowei Article
Convergence Analysis of Tight Framelet Approach for Missing Data Recovery
Advances in Computational Mathematics, v. 31, Issue 1-3, October 2009, p. 87-113
Cai, Jian-Feng; Chan, Raymond; Shen, Lixin; Shen, Zuowei Article
Convergence of the linearized Bregman iteration for ?1-norm minimization
Mathematics of Computation, v. 78, Issue 268, October 2009, p. 2127-2136
Cai, Jian-Feng; Osher, Stanley; Shen, Zuowei Article
Linearized Bregman Iterations for Compressed Sensing
Mathematics of Computation, v. 78, Issue 267, July 2009, p. 1515-1536
Cai, Jian-Feng; Osher, Stanley J.; Shen, Zuowei Article
Linearized Bregman Iterations for Frame-Based Image Deblurring
Siam Journal On Imaging Sciences, v. 2, Issue 1, 2009, p. 226-252
Cai, Jian-Feng; Osher, Stanley; Shen, Zuowei Article
Simultaneously Inpainting in Image and Transformed Domains
Numerische Mathematik, v. 112, Issue 4, June 2009, p. 509-533
Cai, Jian-Feng; Chan, Raymond H.; Shen, Lixin; Shen, Zuowei Article
Split Bregman Methods and Frame Based Image Restoration
Multiscale Modeling and Simulation, v. 8, Issue 2, 2009, p. 337-369
Cai, Jian-Feng; Osher, Stanley; Shen, Zuowei Article
Blind motion deblurring from a single image using sparse approximation
2009 IEEE Computer Society Conference on Computer Vision and Pattern Recognition Workshops, CVPR Workshops 2009; Miami, United States, 20 June 2009, Article number 5206743, p. 104-111
Cai, Jian-Feng; Ji, Hui; Liu, Chaoqiang Conference paper
High-quality curvelet-based motion deblurring from an image pair
2009 IEEE Computer Society Conference on Computer Vision and Pattern Recognition Workshops, Miami, FL; United States, 20 June 2009, p. 1566-1573
Cai, Jian-Feng; Ji, Hui; Liu, Chaoqiang Conference paper

2008 2

A framelet-based image inpainting algorithm
Applied and Computational Harmonic Analysis, v. 24, Issue 2, March 2008, p. 131-149
Cai, Jian-Feng; Chan, Raymond H.; Shen, Zuowei Article
Two-phase Approach for Deblurring Images Corrupted by Impulse Plus Gaussian Noise
Inverse Problems And Imaging, v. 2, Issue 2, p.187-204
Cai, Jian-Feng; Chan, Raymond H.; Nikolova, Mila Article

2007 4

Image denoising and deblurring under impulse noise, and framelet-based methods for image reconstruction
Dissertation Abstracts International, v. 69, (1), 2007
Cai, Jianfeng Article
Minimization of a Detail-preserving Regularization Functional for Impulse Noise Removal
Journal of Mathematical Imaging and Vision, v. 29, Issue 1, September 2007, p. 79-91
Cai, Jian-Feng; Chan, Raymond H.; Di Fiore, Carmine Article
Minimization of an Edge-Preserving Regularization Functional by Conjugate Gradient Type Methods
Image Processing Based on Partial Differential Equations, in Series: Mathematics and Visualization, 2007, p. 109-120
Cai, Jian-Feng; Chan, Raymond H.; Morini, Benedetta Article
Restoration of Chopped and Nodded Images by Framelets
SIAM Journal on Scientific Computing, v. 30, Issue 3, 2007, p. 1205-1227
Cai, Jian-Feng; Chan, Raymond; Shen, Lixin; Shen, Zuowei Article

2006 2

Interval Iterative Methods for Computing Moore-Penrose Inverse
Applied Mathematics and Computation, v. 183, Issue 1, 2006, p. 522-532
Zhang, Xian; Cai, Jianfeng; Wei, Yimin Article
Modified Newton's Algorithm for Computing the Group Inverses of Singular Toeplitz Matrices
Journal of Computational Mathematics, v. 24, Issue 5, 2006, p. 647-656
Cai, Jianfeng; Ng, Michael K.; Wei, Yi-min Article

2004 2

Computing Moore-Penrose Inverses of Toeplitz Matrices by Newton's Iteration
Mathematical and Computer Modelling, v. 40, Issue 1-2, 2004, p. 181-191
Wei, Yi-min; Cai, Jianfeng; Ng, Michael K. Article
Displacement Structure of Weighted Pseudoinverses
Applied Mathematics and Computation, v. 153, Issue 2, 2004, p. 317-335
Cai, Jianfeng; Wei, Yi-min Article


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Article 2

Image Restoration: Structured Low Rank Matrix Framework For Piecewise Smooth Functions And Beyond
Applied and Computational Harmonic Analysis, v. 56, January 2022, p. 26-60
Cai, Jianfeng; Choi, Jae Kyu; Li, Jingyang; Wei, ke
Sparse Signal Recovery From Phaseless Measurements Via Hard Thresholding Pursuit
Applied and Computational Harmonic Analysis, v. 56, January 2022, p. 367-390
Cai, Jianfeng; Li, Jingzhi; Lu, Xiliang; You, Juntao


Expand All Collapse All


Article 4

Accelerated Structured Alternating Projections for Robust Spectrally Sparse Signal Recovery
IEEE Transactions on Signal Processing, v. 69, 6 January 2021, article number 9316310, p. 809-821
Cai, Hanqin; Cai, Jianfeng; Wang, Tianming; Yin, Guojian
An Automatic Denoising Method For NMR Spectroscopy Based On Low-Rank Hankel Model
IEEE Transactions on Instrumentation and Measurement, v. 70, 1 September 2021, article number 6010612
Qiu, Tianyu; Liao, Wenjing; Huang, Yihui; Wu, Jinyu; Guo, Di; Liu, Dongbao; Wang, Xin; Cai, Jianfeng; Hu, Bingwen; Qu, Xiaobo
Fast Cadzow's Algorithm and a Gradient Variant
Journal of Scientific Computing, v. 88, (2), August 2021, article number 41
Wang, Haifeng; Cai, Jianfeng; Wang, Tianming; Wei, Ke
Scalable Incremental Nonconvex Optimization Approach for Phase Retrieval
Journal of Scientific Computing, v. 87, (2), May 2021, article number 43
Li, Ji; Cai, Jianfeng; Zhao, Hongkai


Expand All Collapse All


Article 6

A stochastic alternating minimization method for sparse phase retrieval
数学杂志=Journal of Mathematics, v. 40, (4), 2020, p. 379-388
Cai, Jianfeng; Jiao, Yuling; Lu, Xiliang; You, Juntao
Data Driven Tight Frame for Compressed Sensing MRI Reconstruction via Off-the-Grid Regularization
SIAM Journal on Imaging Sciences, v. 13, (3), 2020, p. 1272-1301
Cai, Jianfeng; Choi, Jae Kyu; Wei, Ke
Guarantees of riemannian optimization for low rank matrix completion
Inverse Problems and Imaging, v. 14, (2), April 2020, p. 233-265
Wei, Ke; Cai, Jianfeng; Chan, Tony Fan-cheong; Leung, Shing Yu
Multi-Direction Dictionary Learning Based Depth Map Super-Resolution With Autoregressive Modeling
IEEE Transactions on Multimedia, v. 22, (6), June 2020, article number 8861360, p. 1470-1484
Wang, Jin; Xu, Wei; Cai, Jianfeng; Zhu, Qing; Shi, Yunhui; Yin, Baocai
Robust Inexact Alternating Optimization for Matrix Completion with Outliers
Journal of Computational Mathematics, v. 38, (2), February 2020, p. 337-354
Li, Ji; Cai, Jianfeng; Zhao, Hongkai
Towards the optimal construction of a loss function without spurious local minima for solving quadratic equations
IEEE Transactions on Information Theory, v. 66, (5), May 2020, article number 8918236, p. 3242-3260
Li, Zhenzhen; Cai, Jianfeng; Wei, Ke

Conference paper 1

Image Inpainting Based on Multi-frequency Probabilistic Inference Model
MM '20: Proceedings of the 28th ACM International Conference on Multimedia / Association for Computing Machinery. New York : Association for Computing Machinery, 2020, p. 1-9
Wang, Jin; Wang, Chen; Huang, Qingming; Shi, Yunhui; Cai, Jianfeng; Zhu, Qing; Yin, Baocai


Expand All Collapse All


Article 3

Accelerated Alternating Projections for Robust Principal Component Analysis
Journal of Machine Learning Research, v. 20, February 2019, article number 20
Cai, HanQin; Cai, Jian-Feng; Wei, Ke
Fast and provable algorithms for spectrally sparse signal reconstruction via low-rank Hankel matrix completion
Applied and Computational Harmonic Analysis, v. 46, (1), January 2019, p. 94-121
Cai, Jianfeng; Wang, Tianming; Wei, Ke
Fast Rank-One Alternating Minimization Algorithm for Phase Retrieval
Journal of Scientific Computing, v. 79, (1), April 2019, p. 128-147
Cai, Jian-Feng; Liu, Haixia; Wang, Yang

Conference paper 3

Data-driven method for 3D axis-symmetric object reconstruction from single cone-beam projection data
ISICDM 2019: Proceedings of the Third International Symposium on Image Computing and Digital Medicine, August 2019, p. 288-292, ACM International Conference Proceeding Series
Luo, Shousheng; Meng, Ruyue; Wei, Suhua; Cai, Jianfeng; Tai, Xuecheng; Wang, Yang
Data-driven tight frame for Cryo-EM image denoising and conformational classification
2018 IEEE Global Conference on Signal and Information Processing, GlobalSIP 2018 - Proceedings, February 2019, article number 8646614, p. 544-548
Xian, Yin; Gu, Hanlin; Wang, Wei; Huang, Xuhui; Yao, Yuan; Wang, Yang; Cai, Jianfeng
Fast Single Image Reflection Suppression via Convex Optimization
Proceedings of the IEEE Computer Society Conference on Computer Vision and Pattern Recognition, v. 2019, June 2019, p. 8133-8141
Yang, Yang; Ma, Wenye; Zheng, Yin; Cai, Jianfeng; Xu, Weiyu


Expand All Collapse All


Article 3

Data recovery on a manifold from linear samples: theory and computation
Annals of Mathematical Sciences and Applications, v. 3, (1), March 2018, p. 337-365
Cai, Jianfeng; Rong, Yi; Wang, Yang; Xu, Zhiqiang
Spectral Compressed Sensing via Projected Gradient Descent
SIAM Journal on Optimization, v. 28, (3), September 2018, p. 2625-2653
Cai, Jianfeng; Wang, Tianming; Wei, Ke
Vandermonde factorization of hankel matrix for complex exponential signal recovery-application in fast NMR spectroscopy
IEEE Transactions on Signal Processing, v. 66, (21), November 2018, article number 8457300, p. 5520-5533
Ying, Jiaxi; Cai, Jianfeng; Guo, Di; Tang, Gongguo; Chen, Zhong; Qu, Xiaobo

Book chapter 1

Exploiting the Structure Effectively and Efficiently in Low-Rank Matrix Recovery
Handbook of Numerical Analysis, volume 19 / Series Editors: Professor Qiang Du. Elsevier, 2018, p. 21-51, Ch. 2
Cai, Jianfeng; Wei, Ke

Conference paper 1

Separation-Free Super-Resolution from Compressed Measurements is Possible: an Orthonormal Atomic Norm Minimization Approach
IEEE International Symposium on Information Theory - Proceedings, v. 2018-June, June 2018, article number 8437560, p. 76-80
Xu, Weiyu; Yi, Jirong; Dasgupta, Soura; Cai, Jianfeng; Jacob, Mathews; Cho, Myong


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Article 2

Hankel Matrix Nuclear Norm Regularized Tensor Completion for N-dimensional Exponential Signals
IEEE Transactions on Signal Processing, v. 65, (14), July 2017, p. 3702-3717
Ying, Jiaxi; Lu, Hengfa; Wei, Qingtao; Cai, Jianfeng; Guo, Di; Wu, Jihui; Chen, Zhong; Qu, Xiaobo
Subspace clustering by (k,k)-sparse matrix factorization
Inverse Problems and Imaging, v. 11, (3), June 2017, p. 539-551
Liu, Haixia; Cai, Jianfeng; Wang, Yang

Conference paper 2

Accelerated Magnetic Resonance Spectroscopy with Vandermonde Factorization
Proceedings of the Annual International Conference of the IEEE Engineering in Medicine and Biology Society, EMBS, September 2017, article number 8037620, p. 3537-3540
Qu, Xiaobo; Ying, Jiaxi; Cai, Jianfeng; Chen, Zhong
Large Scale 2D Spectral Compressed Sensing in Continuous Domain
ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings, IEEE, 2017, p. 5905-5909, Article number 7953289
Cai, Jianfeng; Xu, Weiyu; Yang, Yang


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Article 6

A Framelet-Based Iterative Maximum-Likelihood Reconstruction Algorithm for Spectral CT
Inverse Problems, v. 32, (11), October 2016, article number 115021
Wang, Yingmei; Wang, Ge; Mao, Shuwei; Cong, Wenxiang; Ji, Zhilong; Cai, Jianfeng; Ye, Yangbo
A Spectral Interior CT By A Framelet-Based Reconstruction Algorithm
Journal of X-Ray Science and Technology, v. 24, (6), 2016, p. 771-785
Wang, Yingmei; Wang, Ge; Mao, Shuwei; Cong, Wenxiang; Ji, Zhilong; Cai, Jian-Feng; Ye, Yangbo
Fast Multiclass Dictionaries Learning with Geometrical Directions in MRI Reconstruction
IEEE Transactions on Biomedical Engineering, v. 63, (9), September 2016, article number 7337391, p. 1850-1861
Zhan, Zhifang; Cai, Jianfeng; Guo, Di; Liu, Yunsong; Chen, Zhong; Qu, Xiaobo
Guarantees of Riemannian Optimization for Low Rank Matrix Recovery
SIAM Journal on Matrix Analysis and Applications, v. 37, (3), 2016, p. 1198-1222
Wei, Ke; Cai, Jianfeng; Chan, Tony F.; Leung, Shing Yu
Image restoration: A wavelet frame based model for piecewise smooth functions and beyond
Applied and Computational Harmonic Analysis, v. 41, (1), July 2016, p. 94-138
Cai, Jianfeng; Dong, Bin; Shen, Zuowei
Projected Iterative Soft-thresholding Algorithm for Tight Frames in Compressed Sensing Magnetic Resonance Imaging
IEEE Transactions on Medical Imaging, v. 35, (9), September 2016, article number 7448403, p. 2130-2140
Liu, Yunsong; Zhan, Zhiang; Cai, Jianfeng; Guo, Di; Chen, Zhong; Qu, Xiaobu

Conference paper 3

Fast Alternating Projected Gradient Descent Algorithms for Recovering Spectrally Sparse Signals
ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings, v. 2016-May, May 2016, article number 7472556, p. 4638-4642
Cho, Myung; Cai, Jian-Feng; Liu, Suhui; Eldar, Yonina C.; Xu, Weiyu
Precise Phase Transition of Total Variation Minimization
Proceedings of 2016 IEEE International Conference on Acoustics, Speech, and Signal Processing, IEEE , 2016, p. 4518-4522
Zhang, Bingwen; Xu, Weiyu; Cai, Jianfeng; Lai, Lifeng
Robust Recovery of Complex Exponential Signals from Random Gaussian Projections via Low Rank Hankel Matrix Reconstruction
Applied and Computational Harmonic Analysis, v. 41, (2), September 2016, p. 470-490
Cai, Jianfeng; Qu, Xiaobo; Xu, Weiyu; Ye, Guibo


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Article 4

Accelerated NMR Spectroscopy with Low-Rank Reconstruction
Angewandte Chemie - International Edition, v. 54, (3), January 2015, p. 852-854
Qu, Xiaobo; Mayzel, Maxim; Cai, Jian Feng; Chen, Zhong; Orekhov, Vladislav
Balanced sparse model for tight frames in compressed sensing magnetic resonance imaging
PLoS ONE, v. 10, (4), April 2015, article number e0119584
Liu, Yunsong; Cai, Jian Feng; Zhan, Zhifang; Guo, Di; Ye, Jing; Chen, Zhong; Qu, Xiaobo
Block Iterative Reweighted Algorithms for Super-Resolution of Spectrally Sparse Signals
IEEE Signal Processing Letters, v. 22, (12), December 2015, article number 7268862, p. 2319-2323
Cho, Myung; Mishra, Kumar Vijay; Cai, Jianfeng; Xu, Weiyu
Data-Driven Tight Frame for Multi-Channel Images and Its Application to Joint Color-Depth Image Reconstruction
Journal of the Operations Research Society of China, v. 3, (2), June 2015, article number 2, p. 99-115
Wang, Jin; Cai, Jianfeng

Conference paper 1

A fast algorithm for reconstruction of spectrally sparse signals in super-resolution
Wavelets and Sparsity XVI, Edited by Manos Papadakis, Vivek K. Goyal, Dimitri Van De Ville. Bellingham, WA : SPIE, 2015, Proceedings of SPIE Vol. 9597
Cai, Jianfeng; Liu, Suhui; Xu, Weiyu


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Article 2

Cine cone beam CT reconstruction using low-rank matrix factorization: algorithm and a proof-of-princple study
IEEE Transactions on Medical Imaging, v. 33, (8), 2014, article number 6803058, p. 1581-1591
Cai, Jian Feng; JIa, Xun; Gao, Hao; Jiang, Steve; Shen, Zuowei; Zhao, Hongkai
Data-driven tight frame construction and image denoising
Applied and Computational Harmonic Analysis, v. 37, (1), July 2014, p. 89-105
Cai, Jianfeng; Ji, Hui; Shen, Zuowei; Ye, Guibo

Conference paper 2

Incoherent Dictionary Learning for Sparse Representation Based Image Denoising
2014 IEEE International Conference on Image Processing, ICIP 2014, January 2014, article number 7025929, p. 4582-4586
Wang, Jin; Cai, Jianfeng; Shi, Yunhui; Yin, Baocai
Precise Semidefinite Programming Formulation of Atomic Norm Minimization for Recovering D-dimensional (D>=2) Off-the-grid Frequencies
2014 Information Theory and Applications Workshop, ITA 2014 - Conference Proceedings, 2014, article number 6804267
Xu, Weiyu; Cai, Jianfeng; Mishra, Kumar Vijay; Cho, Myung; Kruger, Anton


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Article 4

Adaptive tight frame based medical image reconstruction: proof-of-concept study in computed tomography
Inverse Problems, v. 29, (12), December 2013, article number 125006
Zhou, Weifeng; Cai, Jianfeng; Gao, Hao
Fast Singular Value Thresholding without Singular Value Decomposition
Methods and Applications of Analysis, v. 20, (4), 2013, p. 335-352
Cai, Jianfeng; Stanley, Osher
Low-rank regularization for learning gene expression programs
PLoS ONE, v. 8, (12), December 2013, article number e82146
Ye, Guibo; Tang, Mengfan; Cai, Jianfeng; Nie, Qing; Xie, Xiaohui
Sparse Error Correction from Nonlinear Measurements with Applications in Bad Data Detection for Power Networks
IEEE Transactions on Signal Processing, v. 61, (24), 2013, article number 6603360, p. 6175-6187
Xu, Weiyu; Wang, Meng; Cai, Jianfeng; Tang, Ao

Conference paper 2

Fast Sparsity-based Orthogonal Dictionary Learning and Image Restoration
Proceedings of the IEEE International Conference on Computer Vision, 2013, article number 6751532, p. 3384-3391
Bao, Chenglong; Cai, Jianfeng; Ji, Hui
Guarantees of Total Variation Minimization for Signal Recovery
2013 51st Annual Allerton Conference on Communication, Control, and Computing (Allerton 2013), Institute of Electrical and Electronics Engineers (IEEE), 2013, p. 1266-1271
Cai, Jianfeng; Xu, Weiyu


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Article 3

Framelet Based Blind Motion Deblurring from a Single Image
IEEE Transactions on Image Processing, v.21, (2), February 2012, Article number 5981391, p. 562-572
Cai, Jian-Feng; Ji, Hui; Liu, Chaoqiang; Shen, Zuowei
Image Restoration: Total Variation; Wavelet Frames; and Beyond
Journal of the American Mathematical Society, v. 25, (4), 2012, p. 1033-1089
Cai, Jianfeng; Dong, Bin; Osher, Stanley; Shen, Zuowei
Strongly Convex Programming for Exact Matrix Completion and Robust Principal Component Analysis
Inverse Problems and Imaging, v. 6, (2), 2012, p. 357-372
Zhang, Hui; Cai, Jianfeng; Cheng, Lizhi; Zhu, Jubo


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Article 4

Approximation of frame based missing data recovery
Applied and Computational Harmonic Analysis, v. 31, (2), September 2011, p. 185-204
Cai, Jian-Feng; Shen, Zuowei; Ye, Guibo
Multigrid algorithm from cyclic reduction for Markovian queueing networks
Applied Mathematics and Computation, v. 217, (16), 15 April 2011, p. 6990-7000
Yang, Shu-Ling; Cai, Jian-Feng; Sun, Hai-Wei
Robust Principle Component Analysis Based Four-Dimensional Computed Tomography
Physics in Medicine and Biology, v.56, (11), 2011, p. 3181-3198
Gao, Hao; Cai, Jianfeng; Shen, Zuowei; Zhao, Hongkai
TU‐C‐214‐03: Markerless Tumor Tracking via Clustering on Low‐Rank Fluoroscopic Images for Image‐Guided Lung Cancer Radiotherapy
Medical Physics, v. 38, (6), June, 2011, p. 3756
Huang, Wei; Jia, Xun; Dong, Bin; Gu, Xuejun; Gervino, Laura; Gao, Hao; Cai, Jianfeng; Jiang, Steve B.


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Article 5

Fast Two-Phase Image Deblurring under Impulse Noise
Journal of Mathematical Imaging and Vision, v. 36, Issue 1, January 2010, p. 46-53
Cai, Jian-Feng; Chan, Raymond H.; Nikolova, Mila
Framelet based deconvolution
Journal of Computational Mathematics, v. 28, Issue 3, May 2010, p. 289-308
Cai, Jian-Feng; Shen, Zuowei
Inpainting for Compressed Images
Applied and Computational Harmonic Analysis, Volume 29, Issue 3, November 2010, p. 368–381
Cai, Jianfeng; Ji, Hui; Shang, Fuchun; Shen, Zuowei
Simultaneous Cartoon and Texture Inpainting
Inverse Problems and Imaging, v. 4, Issue 3, August 2010, p. 379-395
Cai, Jianfeng; Chan, Raymond H.; Shen, Zuowei
Tight Frame Based Method for High-Resolution Image Reconstruction
Proceedings to the Conference on Wavelet Analysis and its Application, Zhuhai, China, August, 2007, Contemporary Applied Mathematics: Wavelet Methods in Mathematical Analysis and Engineering, v. 14, 2010, p. 1-36
Cai, Jianfeng; Chan, Raymond; Shen, Lixin; Shen, Zuowei


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Article 7

Blind motion deblurring using multiple images
Journal of Computational Physics, v. 228, Issue 14, 1 August 2009, p. 5057-5071
Cai, Jian-Feng; Ji, Hui; Liu, Chaoqiang; Shen, Zuowei
Convergence Analysis of Tight Framelet Approach for Missing Data Recovery
Advances in Computational Mathematics, v. 31, Issue 1-3, October 2009, p. 87-113
Cai, Jian-Feng; Chan, Raymond; Shen, Lixin; Shen, Zuowei
Convergence of the linearized Bregman iteration for ?1-norm minimization
Mathematics of Computation, v. 78, Issue 268, October 2009, p. 2127-2136
Cai, Jian-Feng; Osher, Stanley; Shen, Zuowei
Linearized Bregman Iterations for Compressed Sensing
Mathematics of Computation, v. 78, Issue 267, July 2009, p. 1515-1536
Cai, Jian-Feng; Osher, Stanley J.; Shen, Zuowei
Linearized Bregman Iterations for Frame-Based Image Deblurring
Siam Journal On Imaging Sciences, v. 2, Issue 1, 2009, p. 226-252
Cai, Jian-Feng; Osher, Stanley; Shen, Zuowei
Simultaneously Inpainting in Image and Transformed Domains
Numerische Mathematik, v. 112, Issue 4, June 2009, p. 509-533
Cai, Jian-Feng; Chan, Raymond H.; Shen, Lixin; Shen, Zuowei
Split Bregman Methods and Frame Based Image Restoration
Multiscale Modeling and Simulation, v. 8, Issue 2, 2009, p. 337-369
Cai, Jian-Feng; Osher, Stanley; Shen, Zuowei

Conference paper 2

Blind motion deblurring from a single image using sparse approximation
2009 IEEE Computer Society Conference on Computer Vision and Pattern Recognition Workshops, CVPR Workshops 2009; Miami, United States, 20 June 2009, Article number 5206743, p. 104-111
Cai, Jian-Feng; Ji, Hui; Liu, Chaoqiang
High-quality curvelet-based motion deblurring from an image pair
2009 IEEE Computer Society Conference on Computer Vision and Pattern Recognition Workshops, Miami, FL; United States, 20 June 2009, p. 1566-1573
Cai, Jian-Feng; Ji, Hui; Liu, Chaoqiang


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Article 2

A framelet-based image inpainting algorithm
Applied and Computational Harmonic Analysis, v. 24, Issue 2, March 2008, p. 131-149
Cai, Jian-Feng; Chan, Raymond H.; Shen, Zuowei
Two-phase Approach for Deblurring Images Corrupted by Impulse Plus Gaussian Noise
Inverse Problems And Imaging, v. 2, Issue 2, p.187-204
Cai, Jian-Feng; Chan, Raymond H.; Nikolova, Mila


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Article 4

Image denoising and deblurring under impulse noise, and framelet-based methods for image reconstruction
Dissertation Abstracts International, v. 69, (1), 2007
Cai, Jianfeng
Minimization of a Detail-preserving Regularization Functional for Impulse Noise Removal
Journal of Mathematical Imaging and Vision, v. 29, Issue 1, September 2007, p. 79-91
Cai, Jian-Feng; Chan, Raymond H.; Di Fiore, Carmine
Minimization of an Edge-Preserving Regularization Functional by Conjugate Gradient Type Methods
Image Processing Based on Partial Differential Equations, in Series: Mathematics and Visualization, 2007, p. 109-120
Cai, Jian-Feng; Chan, Raymond H.; Morini, Benedetta
Restoration of Chopped and Nodded Images by Framelets
SIAM Journal on Scientific Computing, v. 30, Issue 3, 2007, p. 1205-1227
Cai, Jian-Feng; Chan, Raymond; Shen, Lixin; Shen, Zuowei


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Article 2

Interval Iterative Methods for Computing Moore-Penrose Inverse
Applied Mathematics and Computation, v. 183, Issue 1, 2006, p. 522-532
Zhang, Xian; Cai, Jianfeng; Wei, Yimin
Modified Newton's Algorithm for Computing the Group Inverses of Singular Toeplitz Matrices
Journal of Computational Mathematics, v. 24, Issue 5, 2006, p. 647-656
Cai, Jianfeng; Ng, Michael K.; Wei, Yi-min


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Article 2

Computing Moore-Penrose Inverses of Toeplitz Matrices by Newton's Iteration
Mathematical and Computer Modelling, v. 40, Issue 1-2, 2004, p. 181-191
Wei, Yi-min; Cai, Jianfeng; Ng, Michael K.
Displacement Structure of Weighted Pseudoinverses
Applied Mathematics and Computation, v. 153, Issue 2, 2004, p. 317-335
Cai, Jianfeng; Wei, Yi-min


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2016 9

A Framelet-Based Iterative Maximum-Likelihood Reconstruction Algorithm for Spectral CT
Inverse Problems, v. 32, (11), October 2016, article number 115021
Wang, Yingmei; Wang, Ge; Mao, Shuwei; Cong, Wenxiang; Ji, Zhilong; Cai, Jianfeng; Ye, Yangbo Article
A Spectral Interior CT By A Framelet-Based Reconstruction Algorithm
Journal of X-Ray Science and Technology, v. 24, (6), 2016, p. 771-785
Wang, Yingmei; Wang, Ge; Mao, Shuwei; Cong, Wenxiang; Ji, Zhilong; Cai, Jian-Feng; Ye, Yangbo Article
Fast Multiclass Dictionaries Learning with Geometrical Directions in MRI Reconstruction
IEEE Transactions on Biomedical Engineering, v. 63, (9), September 2016, article number 7337391, p. 1850-1861
Zhan, Zhifang; Cai, Jianfeng; Guo, Di; Liu, Yunsong; Chen, Zhong; Qu, Xiaobo Article
Guarantees of Riemannian Optimization for Low Rank Matrix Recovery
SIAM Journal on Matrix Analysis and Applications, v. 37, (3), 2016, p. 1198-1222
Wei, Ke; Cai, Jianfeng; Chan, Tony F.; Leung, Shing Yu Article
Image restoration: A wavelet frame based model for piecewise smooth functions and beyond
Applied and Computational Harmonic Analysis, v. 41, (1), July 2016, p. 94-138
Cai, Jianfeng; Dong, Bin; Shen, Zuowei Article
Projected Iterative Soft-thresholding Algorithm for Tight Frames in Compressed Sensing Magnetic Resonance Imaging
IEEE Transactions on Medical Imaging, v. 35, (9), September 2016, article number 7448403, p. 2130-2140
Liu, Yunsong; Zhan, Zhiang; Cai, Jianfeng; Guo, Di; Chen, Zhong; Qu, Xiaobu Article
Fast Alternating Projected Gradient Descent Algorithms for Recovering Spectrally Sparse Signals
ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings, v. 2016-May, May 2016, article number 7472556, p. 4638-4642
Cho, Myung; Cai, Jian-Feng; Liu, Suhui; Eldar, Yonina C.; Xu, Weiyu Conference paper
Precise Phase Transition of Total Variation Minimization
Proceedings of 2016 IEEE International Conference on Acoustics, Speech, and Signal Processing, IEEE , 2016, p. 4518-4522
Zhang, Bingwen; Xu, Weiyu; Cai, Jianfeng; Lai, Lifeng Conference paper
Robust Recovery of Complex Exponential Signals from Random Gaussian Projections via Low Rank Hankel Matrix Reconstruction
Applied and Computational Harmonic Analysis, v. 41, (2), September 2016, p. 470-490
Cai, Jianfeng; Qu, Xiaobo; Xu, Weiyu; Ye, Guibo Conference paper

2015 5

Accelerated NMR Spectroscopy with Low-Rank Reconstruction
Angewandte Chemie - International Edition, v. 54, (3), January 2015, p. 852-854
Qu, Xiaobo; Mayzel, Maxim; Cai, Jian Feng; Chen, Zhong; Orekhov, Vladislav Article
Balanced sparse model for tight frames in compressed sensing magnetic resonance imaging
PLoS ONE, v. 10, (4), April 2015, article number e0119584
Liu, Yunsong; Cai, Jian Feng; Zhan, Zhifang; Guo, Di; Ye, Jing; Chen, Zhong; Qu, Xiaobo Article
Block Iterative Reweighted Algorithms for Super-Resolution of Spectrally Sparse Signals
IEEE Signal Processing Letters, v. 22, (12), December 2015, article number 7268862, p. 2319-2323
Cho, Myung; Mishra, Kumar Vijay; Cai, Jianfeng; Xu, Weiyu Article
Data-Driven Tight Frame for Multi-Channel Images and Its Application to Joint Color-Depth Image Reconstruction
Journal of the Operations Research Society of China, v. 3, (2), June 2015, article number 2, p. 99-115
Wang, Jin; Cai, Jianfeng Article
A fast algorithm for reconstruction of spectrally sparse signals in super-resolution
Wavelets and Sparsity XVI, Edited by Manos Papadakis, Vivek K. Goyal, Dimitri Van De Ville. Bellingham, WA : SPIE, 2015, Proceedings of SPIE Vol. 9597
Cai, Jianfeng; Liu, Suhui; Xu, Weiyu Conference paper

2014 4

Cine cone beam CT reconstruction using low-rank matrix factorization: algorithm and a proof-of-princple study
IEEE Transactions on Medical Imaging, v. 33, (8), 2014, article number 6803058, p. 1581-1591
Cai, Jian Feng; JIa, Xun; Gao, Hao; Jiang, Steve; Shen, Zuowei; Zhao, Hongkai Article
Data-driven tight frame construction and image denoising
Applied and Computational Harmonic Analysis, v. 37, (1), July 2014, p. 89-105
Cai, Jianfeng; Ji, Hui; Shen, Zuowei; Ye, Guibo Article
Incoherent Dictionary Learning for Sparse Representation Based Image Denoising
2014 IEEE International Conference on Image Processing, ICIP 2014, January 2014, article number 7025929, p. 4582-4586
Wang, Jin; Cai, Jianfeng; Shi, Yunhui; Yin, Baocai Conference paper
Precise Semidefinite Programming Formulation of Atomic Norm Minimization for Recovering D-dimensional (D>=2) Off-the-grid Frequencies
2014 Information Theory and Applications Workshop, ITA 2014 - Conference Proceedings, 2014, article number 6804267
Xu, Weiyu; Cai, Jianfeng; Mishra, Kumar Vijay; Cho, Myung; Kruger, Anton Conference paper

2013 6

Adaptive tight frame based medical image reconstruction: proof-of-concept study in computed tomography
Inverse Problems, v. 29, (12), December 2013, article number 125006
Zhou, Weifeng; Cai, Jianfeng; Gao, Hao Article
Fast Singular Value Thresholding without Singular Value Decomposition
Methods and Applications of Analysis, v. 20, (4), 2013, p. 335-352
Cai, Jianfeng; Stanley, Osher Article
Low-rank regularization for learning gene expression programs
PLoS ONE, v. 8, (12), December 2013, article number e82146
Ye, Guibo; Tang, Mengfan; Cai, Jianfeng; Nie, Qing; Xie, Xiaohui Article
Sparse Error Correction from Nonlinear Measurements with Applications in Bad Data Detection for Power Networks
IEEE Transactions on Signal Processing, v. 61, (24), 2013, article number 6603360, p. 6175-6187
Xu, Weiyu; Wang, Meng; Cai, Jianfeng; Tang, Ao Article
Fast Sparsity-based Orthogonal Dictionary Learning and Image Restoration
Proceedings of the IEEE International Conference on Computer Vision, 2013, article number 6751532, p. 3384-3391
Bao, Chenglong; Cai, Jianfeng; Ji, Hui Conference paper
Guarantees of Total Variation Minimization for Signal Recovery
2013 51st Annual Allerton Conference on Communication, Control, and Computing (Allerton 2013), Institute of Electrical and Electronics Engineers (IEEE), 2013, p. 1266-1271
Cai, Jianfeng; Xu, Weiyu Conference paper

2012 3

Framelet Based Blind Motion Deblurring from a Single Image
IEEE Transactions on Image Processing, v.21, (2), February 2012, Article number 5981391, p. 562-572
Cai, Jian-Feng; Ji, Hui; Liu, Chaoqiang; Shen, Zuowei Article
Image Restoration: Total Variation; Wavelet Frames; and Beyond
Journal of the American Mathematical Society, v. 25, (4), 2012, p. 1033-1089
Cai, Jianfeng; Dong, Bin; Osher, Stanley; Shen, Zuowei Article
Strongly Convex Programming for Exact Matrix Completion and Robust Principal Component Analysis
Inverse Problems and Imaging, v. 6, (2), 2012, p. 357-372
Zhang, Hui; Cai, Jianfeng; Cheng, Lizhi; Zhu, Jubo Article

2011 4

Approximation of frame based missing data recovery
Applied and Computational Harmonic Analysis, v. 31, (2), September 2011, p. 185-204
Cai, Jian-Feng; Shen, Zuowei; Ye, Guibo Article
Multigrid algorithm from cyclic reduction for Markovian queueing networks
Applied Mathematics and Computation, v. 217, (16), 15 April 2011, p. 6990-7000
Yang, Shu-Ling; Cai, Jian-Feng; Sun, Hai-Wei Article
Robust Principle Component Analysis Based Four-Dimensional Computed Tomography
Physics in Medicine and Biology, v.56, (11), 2011, p. 3181-3198
Gao, Hao; Cai, Jianfeng; Shen, Zuowei; Zhao, Hongkai Article
TU‐C‐214‐03: Markerless Tumor Tracking via Clustering on Low‐Rank Fluoroscopic Images for Image‐Guided Lung Cancer Radiotherapy
Medical Physics, v. 38, (6), June, 2011, p. 3756
Huang, Wei; Jia, Xun; Dong, Bin; Gu, Xuejun; Gervino, Laura; Gao, Hao; Cai, Jianfeng; Jiang, Steve B. Article

2010 5

Fast Two-Phase Image Deblurring under Impulse Noise
Journal of Mathematical Imaging and Vision, v. 36, Issue 1, January 2010, p. 46-53
Cai, Jian-Feng; Chan, Raymond H.; Nikolova, Mila Article
Framelet based deconvolution
Journal of Computational Mathematics, v. 28, Issue 3, May 2010, p. 289-308
Cai, Jian-Feng; Shen, Zuowei Article
Inpainting for Compressed Images
Applied and Computational Harmonic Analysis, Volume 29, Issue 3, November 2010, p. 368–381
Cai, Jianfeng; Ji, Hui; Shang, Fuchun; Shen, Zuowei Article
Simultaneous Cartoon and Texture Inpainting
Inverse Problems and Imaging, v. 4, Issue 3, August 2010, p. 379-395
Cai, Jianfeng; Chan, Raymond H.; Shen, Zuowei Article
Tight Frame Based Method for High-Resolution Image Reconstruction
Proceedings to the Conference on Wavelet Analysis and its Application, Zhuhai, China, August, 2007, Contemporary Applied Mathematics: Wavelet Methods in Mathematical Analysis and Engineering, v. 14, 2010, p. 1-36
Cai, Jianfeng; Chan, Raymond; Shen, Lixin; Shen, Zuowei Article

2009 9

Blind motion deblurring using multiple images
Journal of Computational Physics, v. 228, Issue 14, 1 August 2009, p. 5057-5071
Cai, Jian-Feng; Ji, Hui; Liu, Chaoqiang; Shen, Zuowei Article
Convergence Analysis of Tight Framelet Approach for Missing Data Recovery
Advances in Computational Mathematics, v. 31, Issue 1-3, October 2009, p. 87-113
Cai, Jian-Feng; Chan, Raymond; Shen, Lixin; Shen, Zuowei Article
Convergence of the linearized Bregman iteration for ?1-norm minimization
Mathematics of Computation, v. 78, Issue 268, October 2009, p. 2127-2136
Cai, Jian-Feng; Osher, Stanley; Shen, Zuowei Article
Linearized Bregman Iterations for Compressed Sensing
Mathematics of Computation, v. 78, Issue 267, July 2009, p. 1515-1536
Cai, Jian-Feng; Osher, Stanley J.; Shen, Zuowei Article
Linearized Bregman Iterations for Frame-Based Image Deblurring
Siam Journal On Imaging Sciences, v. 2, Issue 1, 2009, p. 226-252
Cai, Jian-Feng; Osher, Stanley; Shen, Zuowei Article
Simultaneously Inpainting in Image and Transformed Domains
Numerische Mathematik, v. 112, Issue 4, June 2009, p. 509-533
Cai, Jian-Feng; Chan, Raymond H.; Shen, Lixin; Shen, Zuowei Article
Split Bregman Methods and Frame Based Image Restoration
Multiscale Modeling and Simulation, v. 8, Issue 2, 2009, p. 337-369
Cai, Jian-Feng; Osher, Stanley; Shen, Zuowei Article
Blind motion deblurring from a single image using sparse approximation
2009 IEEE Computer Society Conference on Computer Vision and Pattern Recognition Workshops, CVPR Workshops 2009; Miami, United States, 20 June 2009, Article number 5206743, p. 104-111
Cai, Jian-Feng; Ji, Hui; Liu, Chaoqiang Conference paper
High-quality curvelet-based motion deblurring from an image pair
2009 IEEE Computer Society Conference on Computer Vision and Pattern Recognition Workshops, Miami, FL; United States, 20 June 2009, p. 1566-1573
Cai, Jian-Feng; Ji, Hui; Liu, Chaoqiang Conference paper

2008 2

A framelet-based image inpainting algorithm
Applied and Computational Harmonic Analysis, v. 24, Issue 2, March 2008, p. 131-149
Cai, Jian-Feng; Chan, Raymond H.; Shen, Zuowei Article
Two-phase Approach for Deblurring Images Corrupted by Impulse Plus Gaussian Noise
Inverse Problems And Imaging, v. 2, Issue 2, p.187-204
Cai, Jian-Feng; Chan, Raymond H.; Nikolova, Mila Article

2007 4

Image denoising and deblurring under impulse noise, and framelet-based methods for image reconstruction
Dissertation Abstracts International, v. 69, (1), 2007
Cai, Jianfeng Article
Minimization of a Detail-preserving Regularization Functional for Impulse Noise Removal
Journal of Mathematical Imaging and Vision, v. 29, Issue 1, September 2007, p. 79-91
Cai, Jian-Feng; Chan, Raymond H.; Di Fiore, Carmine Article
Minimization of an Edge-Preserving Regularization Functional by Conjugate Gradient Type Methods
Image Processing Based on Partial Differential Equations, in Series: Mathematics and Visualization, 2007, p. 109-120
Cai, Jian-Feng; Chan, Raymond H.; Morini, Benedetta Article
Restoration of Chopped and Nodded Images by Framelets
SIAM Journal on Scientific Computing, v. 30, Issue 3, 2007, p. 1205-1227
Cai, Jian-Feng; Chan, Raymond; Shen, Lixin; Shen, Zuowei Article

2006 2

Interval Iterative Methods for Computing Moore-Penrose Inverse
Applied Mathematics and Computation, v. 183, Issue 1, 2006, p. 522-532
Zhang, Xian; Cai, Jianfeng; Wei, Yimin Article
Modified Newton's Algorithm for Computing the Group Inverses of Singular Toeplitz Matrices
Journal of Computational Mathematics, v. 24, Issue 5, 2006, p. 647-656
Cai, Jianfeng; Ng, Michael K.; Wei, Yi-min Article

2004 2

Computing Moore-Penrose Inverses of Toeplitz Matrices by Newton's Iteration
Mathematical and Computer Modelling, v. 40, Issue 1-2, 2004, p. 181-191
Wei, Yi-min; Cai, Jianfeng; Ng, Michael K. Article
Displacement Structure of Weighted Pseudoinverses
Applied Mathematics and Computation, v. 153, Issue 2, 2004, p. 317-335
Cai, Jianfeng; Wei, Yi-min Article






Teaching Assignment

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2021-22 Winter 1 2021-22 Fall 4 2020-21 Summer 0 2020-21 Spring 7 2020-21 Winter 0 2020-21 Fall 2

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MATH4985C Independent Study: A Study on Restoration of Motion Blurred Images


MATH3332 Data Analytic Tools
MSBD5007 Optimization and Matrix Computation
SCIE3500 IRE Research Project I
SCIE4500 IRE Research Project II


MATH3322 Matrix Computation
MATH4984R Independent Study: Randomized Algorithms for Matrix Decompositions
MATH5312 Advanced Numerical Methods II
MSBD5004 Mathematical Methods for Data Analysis
SCIE2500 Guided Study on Research II
SCIE3500 IRE Research Project I
SCIE4500 IRE Research Project II


MATH3332 Data Analytic Tools
MSBD5007 Optimization and Matrix Computation


No Teaching Assignments


No Teaching Assignments






Research Postgraduate (RPG) Supervision From January 2019 to December 2022 (As of 30 January 2022)

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All Supervisions Current RPGs Graduated RPGs

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Current RPGs

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Doctor of Philosophy XIA, Ruizhe
Mathematics( 2021 - )

FAN, Junyi
Mathematics( 2020 - )

LI, Jiayi
Mathematics( 2020 - )

QUAN, Xueyang (co-supervision)
Mathematics( 2020 - )

LI, Jingyang
Mathematics( 2019 - )

WEN, Ruixue
Mathematics( 2018 - )

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Graduated RPGs

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Doctor of Philosophy YOU, Juntao
Mathematics( Completed in 2021 )

LI, Zhenzhen
Mathematics( Completed in 2020 )

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Master of Philosophy SUN, Jiaze
Mathematics( Completed in 2019 )









ProjectsFrom January 2020 to December 2022

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All Projects 7 Leading Projects 6 Participating Projects 1

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A Mathematical Theory of Patch-Based Image Restoration Methods


基於块的图像恢复方法的数学理论 Leading


RGC - General Research Fund


Project Team (HKUST)
CAI Jianfeng (Lead)


2022 -




Key Technologies of Artificial Intelligence Applied in Selective Laser Melting Additive Manufacturing


人工智能在激光选区熔化增材制造技术中应用的关键技术 Leading


Innovation and Technology Fund


Project Team (HKUST)
CAI Jianfeng (Lead)


2022 -




Non-Convex Optimization for Tensor Data Analysis


张量数据分析中的非凸优化方法 Leading


RGC - General Research Fund


Project Team (HKUST)
CAI Jianfeng (Lead)


2021 -




Development of Statistical and Machine Learning Methods for Large Scale Genomic Data Analysis


人类基因组数据的统计与机器学习方法研发 Participating


Innovation and Technology Fund


Project Team (HKUST)
YANG Can (Lead)
BAO Zhigang
CAI Jianfeng
WANG Yang
XIA Dong
YAO Yuan
ZHANG Hai


2020 -




Geometric Landscape Analysis of Some Non-Convex Optimizations


若干非凸优化问题的几何地貌分析 Leading


RGC - General Research Fund


Project Team (HKUST)
CAI Jianfeng (Lead)


2020 -




Regularity of Euler and Navier-Stokes equations


欧拉和纳维尔斯托克斯方程正则性问题的研究 Leading


RGC - General Research Fund


Project Team (HKUST)
CAI Jianfeng (Lead)


2019 -




Non-Convex Methods for Low-Rank Matrix Reconstruction


低秩矩阵重构的非凸方法 Leading


RGC - General Research Fund


Project Team (HKUST)
CAI Jianfeng (Lead)


2018 - 2020