Subspace Clustering Method Based on TL1 Norm Constraints

LI Haiyang; WANG Hengyuan

doi:10.11999/JEIT170193

Volume 39 Issue 10

Oct. 2017

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Article Navigation > Journal of Electronics & Information Technology > 2017 > 39(10): 2428-2436

LI Haiyang, WANG Hengyuan. Subspace Clustering Method Based on TL1 Norm Constraints[J]. Journal of Electronics & Information Technology, 2017, 39(10): 2428-2436. doi: 10.11999/JEIT170193

Citation:

LI Haiyang, WANG Hengyuan. Subspace Clustering Method Based on TL1 Norm Constraints[J]. Journal of Electronics & Information Technology, 2017, 39(10): 2428-2436. doi: 10.11999/JEIT170193

LI Haiyang, WANG Hengyuan. Subspace Clustering Method Based on TL1 Norm Constraints[J]. Journal of Electronics & Information Technology, 2017, 39(10): 2428-2436. doi: 10.11999/JEIT170193

Citation:

LI Haiyang, WANG Hengyuan. Subspace Clustering Method Based on TL1 Norm Constraints[J]. Journal of Electronics & Information Technology, 2017, 39(10): 2428-2436. doi: 10.11999/JEIT170193

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Subspace Clustering Method Based on TL1 Norm Constraints

doi: 10.11999/JEIT170193

LI Haiyang¹,
WANG Hengyuan¹

Funds:

The National Natural Science Foundation of China (11271297), The Natural Science Foundation of Shaanxi Province (2015JM1020)

Received Date: 2017-03-03
Rev Recd Date: 2017-06-27
Publish Date: 2017-10-19

Abstract

Abstract

The TL1 norm is applied to propose a new optimization model for the study of subspace clustering. Although the optimization is nonconvex, in the case of non-noise, it proves that the optimal solution of the proposed model is the coefficient matrix with block-diagonal structure, which provides the theoretical guarantee for the latter spectral clustering. In the case of dealing with noise, the constraint condition of this model is presented to be equivalent with the optimal model using the corrected data as the dictionary, which contributes to improving the clustering accuracy. Then, the alternating direction method of Lagrangian multipliers is applied to solving the unknown matrices. Experimental results show that subspace clustering method based on TL1 norm not only enhances the sparsity of coefficient matrix, but also is superior to low-rank subspace clustering and sparse subspace clustering method in terms of clustering accuracy and robustness to noise.
- TL1 norm,
- Subspace clustering method,
- Sparse,
- Low-rank,
- Spectral clustering

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References(33)

References

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