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Multi-mode Tensor Space Clustering based on Low-tensor-rank Representation

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LTRR_TensorSC

This is the code of the AAAI 2022 paper

Yicong He, George K. Atia “Multi-mode Tensor Space Clustering based on Low-tensor-rank Representation”

The codes of compared algorithms are from the following resources:

t-SVD-TLRR:

Pan Zhou, Canyi Lu, Jiashi Feng, Zhouchen Lin, Shuicheng Yan, "Tensor Low-rank Representation for Data Recovery and Clustering", IEEE Transactions on Pattern Analysis and Machine Intelligence (TPAMI), 2019

Code: https://panzhous.github.io/assets/code/TLRR-code.zip

OSC

Stephen Tierney, Yi Guo, Junbin Gao, "Subspace Clustering for Sequential Data", Conference on Computer Vision and Pattern Recognition, 2014

Code: https://github.com/sjtrny/OSC

SSC-PZF

Yang, C.; Robinson, D.; and Vidal, R. 2015. "Sparse subspace clustering with missing entries". International Conference on Machine Learning, 2463–2472.

Code of SSC-PZF is from the GSSC paper:

Pimentel-Alarcón D, Balzano L, Marcia R, et al. "Group-sparse subspace clustering with missing data" 2016 IEEE Statistical Signal Processing Workshop (SSP). IEEE, 2016: 1-5.

SSC_EWZF.m in: https://danielpimentel.github.io/code/GSSC.zip

Runing this function require CVX software from http://cvxr.com/cvx/download/

SSC

E. Elhamifar and R. Vidal, "Sparse Subspace Clustering: Algorithm, Theory, and Applications", IEEE Transactions on Pattern Analysis and Machine Intelligence (TPAMI), 2013.

Code: http://www.ccs.neu.edu/home/eelhami/codes/SSC_ADMM_v1.1.zip

LRR

Liu G, Lin Z, Yan S, et al. "Robust recovery of subspace structures by low-rank representation". IEEE transactions on pattern analysis and machine intelligence, 2012, 35(1): 171-184.

https://zhouchenlin.github.io/lrr%28motion_face%29.zip

Tensor ring completion

The tensor ring completion function PTRC.m is written following the algorithm in

Yu, Jinshi, Guoxu Zhou, Chao Li, Qibin Zhao, and Shengli Xie. "Low tensor-ring rank completion by parallel matrix factorization." IEEE transactions on neural networks and learning systems (2020).

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