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- 2018
基于低秩表示投影的无监督人脸特征提取
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Abstract:
摘要: 为了构造数据之间的自适应邻接图,同时克服稀疏表示系数和协同表示系数互相独立、提取全局信息弱的缺陷,提出采用低秩表示(low-rank representation, LRR)系数构造权重矩阵的流形学习算法,即低秩表示投影(low-rank representation projections, LRRP)和判别低秩表示投影(discriminative low-rank representation projections, DLRRP)。在新算法中,将低秩表示系数表征的样本之间的邻接关系保留在特征空间;同时利用低秩系数的聚类性质,在优化目标中加入类内散度最小化项,计算出具有判别性的投影矩阵。试验结果表明,在真实人脸图像库上与其他几种流形学习算法相比,LRRP和DLRRP能够取得更好的识别率。提出的新算法是有效的特征提取算法,能够丰富流形学习框架。
Abstract: In order to construct the adaptive adjacency graph between data points, and also to overcome the disadvantage that the coefficients of sparse representation and collaborative representation were independent, the low-rank representation projections(LRRP)and discriminative low-rank representation projections(DLRRP)were proposed. In these two manifold learning methods, the weighted matrix was constructed by low-rank representation(LRR). The adjacencies defined by the coefficients were preserved in the feature space. By virtue of the clustering property of the coefficients, an within-class scatter minimum term was added in the optimization objective, which leaded to a discriminative projection. The experimental results showed that compared with other manifold learning algorithms, LRRP and DLRRP could obtain the better recognition accuracies. The proposed methods were effective feature extraction algorithms and enriched the manifold learning framework
[1] | WRIGHT J, WRIGHT J, GANESH A, et al. Robust principal component analysis: exact recovery of corrupted low-rank matrices by convex optimization[C] // Proceedings of International Conference on Neural Information Processing Systems. Vancouver, Canada: Curran Associates Inc., 2009:2080-2088. |
[2] | PHILLIPSP J, MOON H, RIZVI A, et al. The FERET valuation methodology for face recognition algorithms[J]. IEEE Transactions on Pattern Analysis and Machine Intelligence, 2000, 22(10): 1090-1104. |
[3] | SIM T, BAKER S, BSAT M. The CMU pose, illumination, and expression database[J]. IEEE Transactions on Pattern Analysis and Machine Intelligence, 2003, 25(12): 1615-1618. |
[4] | HE Xiaofei, MA Weiying, ZHANG Hongjiang. Learning an image manifold for retrieval[C] //Proceedings of ACM International Conference on Multimedia. New York, USA:ACM, 2004:17-23. |
[5] | LIU Guangcan, LIN Zhouchen, YAN Shuicheng, et al. Robust recovery of subspace structures by low-rank representation[J]. IEEE Transaction on Pattern and Machine Recognition, 2013, 35(1): 171-184. |
[6] | GAN Guojun, NG K P. Subspace clustering using affinity propagation[J]. Pattern Recognition, 2015, 48(4):1455-1464. |
[7] | GEORGHIADES A S, BELHUMEUR P N, KRIEGMAN D J. From few to many: illumination cone models for face recognition under variable lighting and pose[J]. IEEE Transactions on Pattern Analysis and Machine Intelligence, 2001, 23(6): 643-660. |
[8] | JOLLIFFE I T. Principal component analysis[M]. New York, USA: Springer-Verlag, 2002:98-99. |
[9] | ZHANG Limei, CHEN Songcan, QIAO Lishan. Graph optimization for dimensionality reduction with sparsity constraints[J]. Pattern Recognition, 2012, 45(3): 1205-1210. |
[10] | 黄璞,唐振民.无参数局部保持投影及人脸识别[J].模式识别与人工智能,2013, 26(9):865-871. HUANG Pu, TANG Zhenmin. Parameter-free locality preserving projections and face recognition[J]. Pattern Recognition and Artificial Intelligence, 2013, 26(9):865-871. |
[11] | QIAO Lishan, CHEN Songcan, TAN Xiaoyang. Sparsity preserving projections with applications to face recognition[J]. Pattern Recognition, 2010, 43(1):331-341. |
[12] | LIU Guangcan, LIN Zhouchen, YU Yong. Robust subspace segmentation by low-rank representation[C] //Proceedings of International Conference on Machine Learning. Haifa, Israel: Omnipress, 2010:663-670. |
[13] | BOYD S, VANDERBERGHE L. Convex optimization[M]. New York, USA: Cambridge University Press, 2007:75-78. |
[14] | MARTINEZ A, BENAVENTE R. The AR face database[R]. USA, Purdue University West Lafayette:Computer Vision Center: Technical Report, 1998. |
[15] | BELKIN M, NIYOGI P. Laplacian eigenmaps and spectral techniques for embedding and clustering[C] //Proceedings of International Conference on Neural Information Processing Systems: Natural and Synthetic. Vancouver, Canada: MIT Press, 2001: 585-591. |
[16] | HE Xiaofei, NIYOGI P. Locality preserving projections[C] //Proceedings of the Seventeenth Annual Conference on Neural Information Processing Systems. Massachusetts, USA:MIT Press, 2003. |
[17] | ZHANG Lei, YANG Meng, FENG Xiangchu. Sparse representation or collaborative representation: which helps face recognition?[C] //Proceedings of 2011 International Conference on Computer Vision. Barcelona, Spain: IEEE, 2011:471-478. |
[18] | YANG Wankou, WANG Zhenyu, SUN Changyin. A collaborative representation based projections method for feature extraction[J]. Pattern Recognition, 2015, 48:20-27. |
[19] | 杨国亮,谢乃俊,罗璐,等.基于空间约束低秩图的人脸识别[J].计算机科学, 2014, 41(8):297-300. YANG Guoliang, XIE Naijun, LUO Lu, et al. Low-rank graph with spatial constraint for face recognition[J]. Computer Science, 2014, 41(8):297-300. |
[20] | ROWEIS S T, SAUL L K. Nonlinear dimensionality reduction by locally linear embedding[J]. Science, 2000, 290:2323-2326. |