Faculty Profiles - CAI Jianfeng | The Hong Kong University of Science and Technology

Jianfeng CAI
蔡劍鋒

PhD in Mathematics
The Chinese University of Hong Kong, 2007

Professor
Department of Mathematics

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

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

Computational harmonic analysis
Image processing
Data analysis
Optimization
Numerical linear algebra

Publications

All Years 93 2023 0 2022 10 2021 6 2020 7 2019 6 2018 5 2017 59

2022 10

Generalized Low-rank plus Sparse Tensor Estimation by Fast Riemannian Optimization

Journal of the American Statistical Association, April 2022
Cai, Jian-Feng; Li, Jingyang; Xia, Dong
Article

Gradient Descent for Symmetric Tensor Decomposition

Annals of Applied Mathematics, v. 38, (4), November 2022, p. 385-413
Cai, Jianfeng; Liu, Haixia; Wang, Yang
Article

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

Improved Harmonic Incompatibility Removal for Susceptibility Mapping via Reduction of Basis Mismatch

Journal of Computational Mathematics, v. 40, (6), 2022, p. 914-937
Bao, Chenglong; Cai, Jianfeng; Choi, Jae Kyu; Dong, Bin; Wei, Ke
Article

Minimum-monitor-unit optimization via a stochastic coordinate descent method

Physics in Medicine and Biology, v. 67, (1), January 2022, article number 015009
Cai, Jianfeng; Chen, Ronald C.; Fan, Junyi; Gao, Hao
Article

Provable Tensor-Train Format Tensor Completion by Riemannian Optimization

Journal of Machine Learning Research, v. 23, April 2022, p. 1-77
Cai, Jianfeng; Li, Jingyang; Xia, Dong
Article

Sample-Efficient Sparse Phase Retrieval via Stochastic Alternating Minimization

IEEE Transactions on Signal Processing, v. 70, 12 October 2022, article number 9917336, p. 4951-4966
Cai, Jianfeng; Jiao, Yuling; Lu, Xiliang; You, Juntao
Article

Solving phase retrieval with random initial guess is nearly as good as by spectral initialization

Applied and Computational Harmonic Analysis, v. 58, May 2022, p. 60-84
Cai, Jianfeng; Huang, Meng; Li, Dong; Wang, Yang
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

The Global Landscape of Phase Retrieval II: Quotient Intensity Models

Annals of Applied Mathematics, v. 38, (1), January 2022, p. 62-114
Cai, Jianfeng; Huang, Meng; Li, Dong; Wang, Yang
Article

2021 6

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

Enhanced Expressive Power and Fast Training of Neural Networks by Random Projections

CSIAM Transactions on Applied Mathematics, v. 2, (3), August 2021, p. 532-550
Cai, Jianfeng; Li, Dong; Sun, Jiaze; Wang, Ke
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

The Global Landscape of Phase Retrieval I: Perturbed Amplitude Models

Annals of Applied Mathematics, v. 37, (4), December 2021, p. 437-512
Cai, Jianfeng; Huang, Meng; Li, Dong; Wang, Yang
Article

2020 7

A stochastic alternating minimization method for sparse phase retrieval

數學雜志=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

2016 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), v. 2016-May, May 2016, article number 7472556, p. 4638-4642
Cho, Myung; Cai, Jianfeng; Liu, Suhui; Eldar, Yonina C.; Xu, Weiyu
Conference paper

Precise Phase Transition of Total Variation Minimization

2016 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP) / IEEE. 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, 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 ℓ1-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

Article 10

Generalized Low-rank plus Sparse Tensor Estimation by Fast Riemannian Optimization

Journal of the American Statistical Association, April 2022
Cai, Jian-Feng; Li, Jingyang; Xia, Dong

Gradient Descent for Symmetric Tensor Decomposition

Annals of Applied Mathematics, v. 38, (4), November 2022, p. 385-413
Cai, Jianfeng; Liu, Haixia; Wang, Yang

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

Improved Harmonic Incompatibility Removal for Susceptibility Mapping via Reduction of Basis Mismatch

Journal of Computational Mathematics, v. 40, (6), 2022, p. 914-937
Bao, Chenglong; Cai, Jianfeng; Choi, Jae Kyu; Dong, Bin; Wei, Ke

Minimum-monitor-unit optimization via a stochastic coordinate descent method

Physics in Medicine and Biology, v. 67, (1), January 2022, article number 015009
Cai, Jianfeng; Chen, Ronald C.; Fan, Junyi; Gao, Hao

Provable Tensor-Train Format Tensor Completion by Riemannian Optimization

Journal of Machine Learning Research, v. 23, April 2022, p. 1-77
Cai, Jianfeng; Li, Jingyang; Xia, Dong

Sample-Efficient Sparse Phase Retrieval via Stochastic Alternating Minimization

IEEE Transactions on Signal Processing, v. 70, 12 October 2022, article number 9917336, p. 4951-4966
Cai, Jianfeng; Jiao, Yuling; Lu, Xiliang; You, Juntao

Solving phase retrieval with random initial guess is nearly as good as by spectral initialization

Applied and Computational Harmonic Analysis, v. 58, May 2022, p. 60-84
Cai, Jianfeng; Huang, Meng; Li, Dong; Wang, Yang

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

The Global Landscape of Phase Retrieval II: Quotient Intensity Models

Annals of Applied Mathematics, v. 38, (1), January 2022, p. 62-114
Cai, Jianfeng; Huang, Meng; Li, Dong; Wang, Yang

Article 6

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

Enhanced Expressive Power and Fast Training of Neural Networks by Random Projections

CSIAM Transactions on Applied Mathematics, v. 2, (3), August 2021, p. 532-550
Cai, Jianfeng; Li, Dong; Sun, Jiaze; Wang, Ke

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

The Global Landscape of Phase Retrieval I: Perturbed Amplitude Models

Annals of Applied Mathematics, v. 37, (4), December 2021, p. 437-512
Cai, Jianfeng; Huang, Meng; Li, Dong; Wang, Yang

Article 6

A stochastic alternating minimization method for sparse phase retrieval

數學雜志=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

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

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

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

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

2016 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), v. 2016-May, May 2016, article number 7472556, p. 4638-4642
Cho, Myung; Cai, Jianfeng; Liu, Suhui; Eldar, Yonina C.; Xu, Weiyu

Precise Phase Transition of Total Variation Minimization

2016 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP) / IEEE. 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

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

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, 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

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

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

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.

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

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 ℓ1-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

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

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

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

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

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

2016 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), v. 2016-May, May 2016, article number 7472556, p. 4638-4642
Cho, Myung; Cai, Jianfeng; Liu, Suhui; Eldar, Yonina C.; Xu, Weiyu
Conference paper

Precise Phase Transition of Total Variation Minimization

2016 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP) / IEEE. 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, 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 ℓ1-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

No Publications

Teaching Assignment

2022-23 Spring 5 2022-23 Winter 0 2022-23 Fall 4 2021-22 Summer 0 2021-22 Spring 5 2021-22 Winter 1

MATH3322	Matrix Computation
MATH5312	Advanced Numerical Methods II
MATH6914W	Reading Course: Mathematical Foundations of Data Science III
MSBD5007	Optimization and Matrix Computation
SCIE4500	IRE Research Project II

MATH2111	Matrix Algebra and Applications
MATH6914D	Reading Course: Mathematical Foundations of Data Sciences II
MSBD5004	Mathematical Methods for Data Analysis
SCIE3500	IRE Research Project I

MATH3322	Matrix Computation
MATH5312	Advanced Numerical Methods II
MATH6913R	Reading Course: Mathematical Foundations of Data Sciences
MSBD5004	Mathematical Methods for Data Analysis
SCIE2500	Guided Study on Research II

MATH4985C

Independent Study: A Study on Restoration of Motion Blurred Images

No Teaching Assignments

Research Postgraduate (RPG) Supervision

From January 2020 to December 2023 (As of 31 May 2023)

All Supervisions Current RPGs Graduated RPGs

Current RPGs

Doctor of Philosophy

JIANG, Yueyan
Mathematics
WU, Tong (co-supervision)
Mathematics
XIAN, Zhuozhi
Mathematics
XIA, Ruizhe
Mathematics
FAN, Junyi
Mathematics
LI, Jiayi
Mathematics
QUAN, Xueyang (co-supervision)
Mathematics
LI, Jingyang
Mathematics

Master of Philosophy

LIU, Ziyun
Mathematics

Graduated RPGs

Doctor of Philosophy

WEN, Ruixue
Mathematics( Completed in 2022 )
YOU, Juntao
Mathematics( Completed in 2021 )
LI, Zhenzhen
Mathematics( Completed in 2020 )

Projects

From January 2021 to December 2023

All Projects 7 Leading Projects 5 Participating Projects 2

Three-dimensional Electrical Impedance Imaging for Tendinopathy Diagnosis

診斷肌腱病的三維電阻抗成像 Participating

Gense Technologies Limited, Innovation and Technology Fund
Project Team (HKUST)
ZHANG Hai (Lead)

CAI Jianfeng

YANG Can
2023 -
A Mathematical Theory of Patch-Based Image Restoration Methods

基於塊的圖像恢復方法的數學理論 Leading

RGC - General Research Fund
Project Team (HKUST)
CAI Jianfeng (Lead)
2022 -
Key Technologies of Artificial Intelligence Applied in Selective Laser Melting Additive Manufacturing

人工智能在激光選區熔化增材製造技術中應用的關鍵技術 Leading

Innovation and Technology Fund
Project Team (HKUST)
CAI Jianfeng (Lead)
2022 -
Non-Convex Optimization for Tensor Data Analysis

張量數據分析中的非凸優化方法 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

人類基因組數據的統計與機器學習方法研發 Participating

Innovation and Technology Fund
Project Team (HKUST)
YANG Can (Lead)

BAO Zhigang

CAI Jianfeng

WANG Yang

XIA Dong

YAO Yuan

ZHANG Hai
2020 - 2023
Geometric Landscape Analysis of Some Non-Convex Optimizations

若干非凸優化問題的幾何地貌分析 Leading

RGC - General Research Fund
Project Team (HKUST)
CAI Jianfeng (Lead)
2020 - 2022
Regularity of Euler and Navier-Stokes equations

歐拉和納維爾斯托克斯方程正則性問題的研究 Leading

RGC - General Research Fund
Project Team (HKUST)
CAI Jianfeng (Lead)
2019 - 2022

Research Interest

Publications

2022 10

2021 6

2020 7

2019 6

2018 5

2017 4

2016 9

2015 5

2014 4

2013 6

2012 3

2011 4

2010 5

2009 9

2008 2

2007 4

2006 2

2004 2

Article 10

Article 6

Article 6

Conference paper 1

Article 3

Conference paper 3

Article 3

Book chapter 1

Conference paper 1

Article 2

Conference paper 2

Article 6

Conference paper 3

Article 4

Conference paper 1

Article 2

Conference paper 2

Article 4

Conference paper 2

Article 3

Article 4

Article 5

Article 7

Conference paper 2

Article 2

Article 4

Article 2

Article 2

2017 4

2016 9

2015 5

2014 4

2013 6

2012 3

2011 4

2010 5

2009 9

2008 2

2007 4

2006 2

2004 2

Teaching Assignment

Research Postgraduate (RPG) Supervision

From January 2020 to December 2023 (As of 31 May 2023)

Current RPGs

Graduated RPGs

Projects

From January 2021 to December 2023

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