arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1908.07860cs.CV

Adaptive Structure-constrained Robust Latent Low-Rank Coding for Image Recovery

Soochow University(苏州大学);Hefei University of Technology(合肥工业大学);University of Georgia(佐治亚大学);Harbin Institute of Technology (Shenzhen)(哈尔滨工业大学(深圳));University of Science and Technology of China(中国科学技术大学)

Zhao Zhang, Lei Wang, Sheng Li, Yang Wang, Zheng Zhang, Zhengjun Zha, Meng Wang

英文摘要:

In this paper, we propose a robust representation learning model called Adaptive Structure-constrained Low-Rank Coding (AS-LRC) for the latent representation of data. To recover the underlying subspaces more accurately, AS-LRC seamlessly integrates an adaptive weighting based block-diagonal structure-constrained low-rank representation and the group sparse salient feature extraction into a unified framework. Specifically, AS-LRC performs the latent decomposition of given data into a low-rank reconstruction by a block-diagonal codes matrix, a group sparse locality-adaptive salient feature part and a sparse error part. To enforce the block-diagonal structures adaptive to different real datasets for the low-rank recovery, AS-LRC clearly computes an auto-weighting matrix based on the locality-adaptive features and multiplies by the low-rank coefficients for direct minimization at the same time. This encourages the codes to be block-diagonal and can avoid the tricky issue of choosing optimal neighborhood size or kernel width for the weight assignment, suffered in most local geometrical structures-preserving low-rank coding methods. In addition, our AS-LRC selects the L2,1-norm on the projection for extracting group sparse features rather than learning low-rank features by Nuclear-norm regularization, which can make learnt features robust to noise and outliers in samples, and can also make the feature coding process efficient. Extensive visualizations and numerical results demonstrate the effectiveness of our AS-LRC for image representation and recovery.

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