jfcai

CAI, Jian-Feng
蔡劍鋒

(PhD Chinese Univ of Hong Kong)

Phone: (852) 3469 2248
Email: jfcai@ust.hk
Office: Room 3436
Home Page

Professor



Research Interests

Theoretical and algorithmic foundations of inverse problems, signal processing, and machine learning.

Teaching

  • MATH2111  Matrix Algebra and Applications
  • MATH4995  Capstone Project for Data Science
  • MATH6911G  Reading Course: Semidefinite Programming and Approximation

Selected Publications

  Article

  1. Solving phase retrieval with random initial guess is nearly as good as by spectral initialization
    • Author(s): Cai, Jianfeng; Huang, Meng; Li, Dong; Wang, Yang
    • Source: Applied and Computational Harmonic Analysis, v. 58, May 2022, p. 60-84
    • Year: 2022

  2. Provable Tensor-Train Format Tensor Completion by Riemannian Optimization
    • Author(s): Cai, Jianfeng; Li, Jingyang; Xia, Dong
    • Source: Journal of Machine Learning Research, v. 23, 2022, p. 1-77
    • Year: 2022

  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. Guarantees of Riemannian Optimization for Low Rank Matrix Recovery
    • Author(s): Wei, Ke; Cai, Jianfeng; Chan, Tony F.; Leung, Shing Yu
    • Source: SIAM Journal on Matrix Analysis and Applications. , v. 37, (3), 2016, p. 1198-1222
    • Year: 2016

  6. 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

  7. 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

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

  9. 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