Canyi Lu (卢参义)


I am now a Postdoctoral Research Associate at Carnegie Mellon University. 

I obtained my phd degree from the National University of Singapore, with Profs. Jiashi FengShuicheng Yan and Zhouchen Lin (Peking University).

canyilu AT gmail.com, canyil AT andrew.cmu.edu







Current Research Interests
  • Statistical learning of structured sparsity: bounds for exact and stable recovery for models and solvers
    Sparse structures of interest: sparse vector, low-rank matrix, block diagonal matrix and low-rank tensor
  • Numerical optimization, including convex/nonconvex, constrained/non-constrained, stochastic methods
  • Applications in PR and CV: subspace clustering, multi-view learning, signal recovery...              

Research Highlights: 3 frameworks and 1 generalization

  •  Unified theory of block diagonal matrix learning for subspace clustering
   
1. Robust and Efficient Subspace Segmentation via Least Squares Regression. C. Lu, H. Min, Z. Zhao, L. Zhu, D. Huang, S. Yan. ECCV, 2012.
2. Subspace Clustering by Block Diagonal Representation, C. Lu, J. Feng, Z. Lin, S. Yan. TPAMI, 2018.

  • Unified framework of Alternating Direction Method of Multipliers (ADMM)
    
1. A Unified Alternating Direction Method of Multipliers by Majorization Minimization. C. Lu, J. Feng, Z. Lin, S. Yan. TPAMI. 2017
2. LibADMM: A Library of Alternating Direction Method of Multipliers for Compressive Sensing. C. Lu. 2016. [GitHub Link]

  •  Unified solvers for nonconvex nonsmooth low-rank minimization
     
1. Nonconvex Nonsmooth Low-Rank Minimization via Iteratively Reweighted Nuclear Norm. C. Lu, J. Tang, S. Yan, Z. Lin. TIP. 2016.
2. Generalized Singular Value Thresholding. C. Lu, C. Zhu, C. Xu, S. Yan, Z. Lin. AAAI. 2015.

  •  Low-rank tensor completion and decomposition: theory and applications
   

1. Tensor Robust Principal Component Analysis: Exact Recovery of Corrupted Low-Rank Tensors via Convex Optimization. C. Lu, J. Feng, Y. Chen, W. Liu, Z. Lin, S. Yan. CVPR. 2016.
2. Tensor Robust Principal Component Analysis with A New Tensor Nuclear Norm. C. Lu, J. Feng, Y. Chen, W. Liu, Z. Lin, S. Yan. In submission. 2018
             


Publications

Software and Toolboxes

  1. Tensor-Tensor Product Toolbox
    Canyi Lu
    Carnegie Mellon University, June 2018
    [bibtex] [pdf] [arXiv] [Github]

  2. A Library of ADMM for Sparse and Low-rank Optimization
    Canyi Lu
    National University of Singapore, June 2016
    [bibtex] [pdf] [Github]

Preprints and Reports

  1. Tensor Robust Principal Component Analysis with A New Tensor Nuclear Norm
    Canyi Lu, Jiashi Feng, Yudong Chen, Wei Liu, Zhouchen Lin and Shuicheng Yan
    submitted to IEEE Transactions on Pattern Analysis and Machine Intelligence (TPAMI) (major revision), 2018
    [bibtex] [arXiv] [code] [LibADMM Toolbox]

  2. Tensor Low-rank Representation for Data Recovery and Clustering
    Pan Zhou, Canyi Lu and Jiashi Feng
    submitted to International Journal of Computer Vision (IJCV) (major revision), 2018
    [bibtex]

  3. Accelerated Stochastic Mirror Descent Algorithms for Composite Non-strongly Convex Optimization
    Le Thi Khanh Hien, Cuong V. Nguyen, Huan Xu, Canyi Lu and Jiashi Feng
    arXiv preprint arXiv:1605.06892, 2016
    [bibtex] [arXiv]

  4. Projection onto the Capped Simplex
    Weiran Wang and Canyi Lu
    arXiv preprint arXiv:1503.01002, 2015
    [bibtex] [pdf] [arXiv] [code]

Journal and Conference Publications

  1. Subspace Clustering by Block Diagonal Representation
    Canyi Lu, Jiashi Feng, Tao Mei, Zhouchen Lin and Shuicheng Yan
    IEEE Transactions on Pattern Analysis and Machine Intelligence (TPAMI), 2018
    [bibtex] [pdf] [arXiv]

  2. A Unified Alternating Direction Method of Multipliers by Majorization Minimization
    Canyi Lu, Jiashi Feng, Shuicheng Yan and Zhouchen Lin
    IEEE Transactions on Pattern Analysis and Machine Intelligence (TPAMI), vol. 40, pp. 527-541, 2018
    [bibtex] [pdf] [arXiv] [LibADMM Toolbox]

  3. Exact Low Tubal Rank Tensor Recovery from Gaussian Measurements
    Canyi Lu, Jiashi Feng, Zhouchen Lin and Shuicheng Yan
    International Joint Conference on Artificial Intelligence (IJCAI), 2018
    [bibtex] [pdf] [arXiv] [slides] [code] [LibADMM Toolbox]

  4. Nonconvex Sparse Spectral Clustering by Alternating Direction Method of Multipliers and Its Convergence Analysis
    Canyi Lu, Jiashi Feng, Zhouchen Lin and Shuicheng Yan
    AAAI Conference on Artificial Intelligence (AAAI), 2018
    [bibtex] [pdf] [arXiv] [poster]

  5. Optimized Projections for Compressed Sensing via Direct Mutual Coherence Minimization
    Canyi Lu, Huan Li and Zhouchen Lin
    Signal Processing, vol. 151, pp. 45-55, 2018
    [bibtex] [pdf] [arXiv]

  6. Connections between Nuclear-norm and Frobenius-norm-based Representations
    Xi Peng, Canyi Lu, Zhang Yi and Huajin Tang
    IEEE Transactions on Neural Networks and Learning Systems (TNNLS), vol. 29, pp. 218-224, 2018
    [bibtex] [arXiv]

  7. Tensor Factorization for Low-Rank Tensor Completion
    Pan Zhou, Canyi Lu, Zhouchen Lin and Chao Zhang
    IEEE Transactions on Image Processing (TIP), vol. 27, pp. 1152-1163, 2018
    [bibtex] [pdf] [code]

  8. Cross-modal Retrieval with CNN Visual Features: A New Baseline
    Yunchao Wei, Yao Zhao, Canyi Lu, Shikui Wei, Luoqi Liu, Zhenfeng Zhu and Shuicheng Yan
    IEEE Transactions on Cybernetics (TCYB), vol. 47, pp. 449-460, 2017
    [bibtex]

  9. Convex Sparse Spectral Clustering: Single-view to Multi-view
    Canyi Lu, Shuicheng Yan and Zhouchen Lin
    IEEE Transactions on Image Processing (TIP), vol. 25, pp. 2833-2843, 2016
    [bibtex] [pdf] [arXiv] [LibADMM Toolbox]

  10. Fast Proximal Linearized Alternating Direction Method of Multiplier with Parallel Splitting
    Canyi Lu, Huan Li, Zhouchen Lin and Shuicheng Yan
    AAAI Conference on Artificial Intelligence (AAAI), 2016
    [bibtex] [pdf] [arXiv] [poster]

  11. Nonconvex Nonsmooth Low Rank Minimization via Iteratively Reweighted Nuclear Norm
    Canyi Lu, Jinhui Tang, Shuicheng Yan and Zhouchen Lin
    IEEE Transactions on Image Processing (TIP), vol. 25, pp. 829-839, 2016
    [bibtex] [pdf] [arXiv] [code]

  12. Tensor Robust Principal Component Analysis: Exact Recovery of Corrupted Low-Rank Tensors via Convex Optimization
    Canyi Lu, Jiashi Feng, Yudong Chen, Wei Liu, Zhouchen Lin and Shuicheng Yan
    IEEE International Conference on Computer Vision and Pattern Recognition (CVPR), 2016
    [bibtex] [pdf] [arXiv] [poster] [code] [LibADMM Toolbox]

  13. Collaborative Completion of Transcription Factor Binding Profiles via Local Sensitive Unified Embedding
    Lin Zhu, Wei-Li Guo, Canyi Lu and De-Shuang Huang
    IEEE Transactions on NanoBioscience, vol. 15, pp. 946-958, 2016
    [bibtex]

  14. Multi-loss Regularized Deep Neural Network
    Chunyan Xu, Canyi Lu, Xiaodan Liang, Junbin Gao, Wei Zheng, Tianjiang Wang and Shuicheng Yan
    IEEE Transactions on Circuits and Systems for Video Technology (TCSVT), vol. 26, pp. 2273-2283, 2016
    [bibtex]

  15. Generalized Singular Value Thresholding
    Canyi Lu, Changbo Zhu, Chunyan Xu, Shuicheng Yan and Zhouchen Lin
    AAAI Conference on Artificial Intelligence (AAAI), 2015
    [bibtex] [pdf] [arXiv] [poster]

  16. Imputation of ChIP-seq datasets via Low Rank Convex Co-Embedding
    Lin Zhu, Wei-Li Guo, De-Shuang Huang and Canyi Lu
    IEEE International Conference on Bioinformatics and Biomedicine (BIBM), 2015
    [bibtex]

  17. Smoothed Low Rank and Sparse Matrix Recovery by Iteratively Reweighted Least Squares Minimization
    Canyi Lu, Zhouchen Lin and Shuicheng Yan
    IEEE Transactions on Image Processing (TIP), vol. 24, pp. 646-654, 2015
    [bibtex] [pdf] [arXiv] [code]

  18. Adaptive Nonparametric Image Parsing
    Tam V. Nguyen, Canyi Lu, Jose Sepulveda and Shuicheng Yan
    IEEE Transactions on Circuits and Systems for Video Technology (TCSVT), vol. 25, pp. 1565-1575, 2015
    [bibtex] [arXiv]

  19. Discriminative Analysis for Symmetric Positive Definite Matrices on Lie Groups
    Chunyan Xu, Canyi Lu, Junbin Gao, Wei Zheng, Tianjiang Wang and Shuicheng Yan
    IEEE Transactions on Circuits and Systems for Video Technology (TCSVT), vol. 25, pp. 1576-1585, 2015
    [bibtex] [pdf]

  20. Facial Analysis with a Lie Group Kernel
    Chunyan Xu, Canyi Lu, Junbin Gao, Tianjiang Wang and Shuicheng Yan
    IEEE Transactions on Circuits and Systems for Video Technology (TCSVT), vol. 25, pp. 1140-1150, 2015
    [bibtex] [pdf]

  21. Efficient k-Support Matrix Pursuit
    Hanjiang Lai, Yan Pan, Canyi Lu, Yong Tang and Shuicheng Yan
    European Conference on Computer Vision (ECCV), 2014
    [bibtex] [pdf]

  22. Generalized Nonconvex Nonsmooth Low-Rank Minimization
    Canyi Lu, Jinhui Tang, Shuicheng Yan and Zhouchen Lin
    IEEE International Conference on Computer Vision and Pattern Recognition (CVPR), 2014
    [bibtex] [pdf] [arXiv] [poster] [code]

  23. Proximal Iteratively Reweighted Algorithm with Multiple Splitting for Nonconvex Sparsity Optimization
    Canyi Lu, Yunchao Wei, Zhouchen Lin and Shuicheng Yan
    AAAI Conference on Artificial Intelligence (AAAI), 2014
    [bibtex] [pdf] [arXiv] [poster]

  24. Robust Face Recognition via Adaptive Sparse Representation
    Jing Wang, Canyi Lu, Meng Wang, Peipei Li, Shuicheng Yan and Xuegang Hu
    IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics (TCYB), vol. 44, pp. 2368-2378, 2014
    [bibtex]

  25. Correlation Adaptive Subspace Segmentation by Trace Lasso
    Canyi Lu, Jiashi Feng, Zhouchen Lin and Shuicheng Yan
    IEEE International Conference on Computer Vision (ICCV), 2013
    [bibtex] [pdf] [arXiv] [poster] [LibADMM Toolbox]

  26. Correntropy Induced L2 Graph for Robust Subspace Clustering
    Canyi Lu, Jinhui Tang, Min Lin, Liang Lin, Shuicheng Yan and Zhouchen Lin
    IEEE International Conference on Computer Vision (ICCV), 2013
    [bibtex] [pdf] [arXiv] [poster]

  27. Face Recognition via Weighted Sparse Representation
    Can-Yi Lu, Hai Min, Jie Gui, Lin Zhu and Ying-Ke Lei
    Journal of Visual Communication and Image Representation (JVCIR), vol. 24, pp. 111-116, 2013
    [bibtex] [pdf] [code]

  28. Optimized Projections for Sparse Representation based Classification
    Can-Yi Lu and De-Shuang Huang
    Neurocomputing, vol. 113, pp. 213-219, 2013
    [bibtex] [pdf] [code]

  29. Robust and Efficient Subspace Segmentation via Least Squares Regression
    Can-Yi Lu, Hai Min, Zhong-Qiu Zhao, Lin Zhu, De-Shuang Huang and Shuicheng Yan
    European Conference on Computer Vision (ECCV), pp. 347-360, 2012
    [bibtex] [pdf] [arXiv] [poster] [slides] [code]




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