Department of Mathematics, HKUST  

  CAI, Jian-Feng   蔡劍鋒

  PhD Chinese Univ of Hong Kong

Office: Room 3436  

Telephone: 3469 2248  

Email: jfcai@ust.hk  

URL:
https://www.math.hkust.edu.hk/~jfcai   
  Professor

Teaching

  • MATH3332  Data Analytic Tools

Research Interests

  • Theoretical and algorithmic foundations of problems related to information, data, and signals, with applications to inverse problems, signal processing, and machine learning.

       Selected Publications

Full Publication List [HKUST Scholarly Publications]  

Article   

  1. Towards the optimal construction of a loss function without spurious local minima for solving quadratic equations
    • Author(s): Li, Zhenzhen ; Cai, Jianfeng; Wei, Ke
    • Source: IEEE Transactions on Information Theory, v. 66, (5), May 2020, article number 8918236, p. 3242-3260
    • Year: 2020

  2. Guarantees of riemannian optimization for low rank matrix completion
    • Author(s): Wei, Ke; Cai, Jianfeng; Chan, Tony Fan-cheong; Leung, Shing Yu
    • Source: Inverse Problems and Imaging, v. 14, (2), April 2020, p. 233-265
    • Year: 2020

  3. Accelerated Alternating Projections for Robust Principal Component Analysis
    • Author(s): Cai, HanQin; Cai, Jian-Feng ; Wei, Ke
    • Source: Journal of Machine Learning Research, v. 20, 2019
    • Year: 2019

  4. Fast and Provable Algorithms for Spectrally Sparse Signal Reconstruction via Low-rank Hankel Matrix Completion
    • Author(s): Cai, Jianfeng ; Wang, Tianming; Wei, Ke
    • Source: Applied and Computational Harmonic Analysis, v. 46, (1), January 2019, p. 94-121
    • Year: 2019

  5. Data-driven tight frame construction and image denoising
    • Author(s): Cai, Jianfeng; Ji, Hui; Shen, Zuowei; Ye, Guibo
    • Source: Applied and Computational Harmonic Analysis. , v. 37, (1), 2014, p. 89-105
    • Year: 2014

  6. Image Restoration: Total Variation; Wavelet Frames; and Beyond
    • Author(s): Cai, Jianfeng; Dong, Bin; Osher, Stanley; Shen, Zuowei
    • Source: Journal of the American Mathematical Society. , v. 25, (4), 2012, p. 1033-1089
    • Year: 2012

  7. A singular value thresholding algorithm for matrix completion
    • Author(s): Cai, Jian-Feng; Cand├Ęs, Emmanuel J.; Shen, Zuowei
    • Source: SIAM J. Optimiz.. , v. 20, (4), p. 1956-1982
    • Year: 2010

  8. Split Bregman Methods and Frame Based Image Restoration
    • Author(s): Cai, Jian-Feng; Osher, Stanley; Shen, Zuowei
    • Source: Multiscale Modeling and Simulation. , v. 8, Issue 2, 2009, p. 337-369
    • Year: 2009