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arXiv 1906.04598cs.CVcs.LG
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联合子空间恢复和增强局部性驱动的鲁棒柔性判别字典学习

Joint Subspace Recovery and Enhanced Locality Driven Robust Flexible Discriminative Dictionary Learning

Hefei University of Technology(合肥工业大学);Soochow University(苏州大学);Harbin Institute of Technology(哈尔滨工业大学);University of Queensland(昆士兰大学)

Zhao Zhang, Jiahuan Ren, Weiming Jiang, Zheng Zhang, Richang Hong, Shuicheng Yan, Meng Wang

摘要:

我们提出了一种基于子空间恢复和增强局部性的鲁棒柔性标签一致性字典学习方法,称为鲁棒柔性判别字典学习(RFOLD)。该算法主要通过增强对稀疏错误的鲁棒性,对局部性、重构错误和标签一致性进行更精确的编码,来提高数据的表示和分类能力。首先,为了对数据和原子中的噪声和稀疏错误具有鲁棒性,RFRST旨在联合恢复底层的干净数据和干净原子子空间,然后在恢复的子空间中执行DL并编码局部性。其次,为了使从非线性流形采样的数据能够潜在地处理,并通过避免过拟合来获得准确的重建,RFFLOW以灵活的方式最小化重建误差。第三,为了对标签一致性进行准确编码,RFRST涉及有区别的灵活稀疏码错误以鼓励系数变软。第四,为了更好地编码局部性,RFFNN定义了恢复原子上的拉普拉斯矩阵,包括原子在类内紧凑性和类间分离方面的标签信息,并与组稀疏码和分类器相关联,以获得准确的区分性局部约束系数和分类器。在公共数据库上的大量结果表明了我们的RFESTs的有效性。

英文摘要:

We propose a joint subspace recovery and enhanced locality based robust flexible label consistent dictionary learning method called Robust Flexible Discriminative Dictionary Learning (RFDDL). RFDDL mainly improves the data representation and classification abilities by enhancing the robust property to sparse errors and encoding the locality, reconstruction error and label consistency more accurately. First, for the robustness to noise and sparse errors in data and atoms, RFDDL aims at recovering the underlying clean data and clean atom subspaces jointly, and then performs DL and encodes the locality in the recovered subspaces. Second, to enable the data sampled from a nonlinear manifold to be handled potentially and obtain the accurate reconstruction by avoiding the overfitting, RFDDL minimizes the reconstruction error in a flexible manner. Third, to encode the label consistency accurately, RFDDL involves a discriminative flexible sparse code error to encourage the coefficients to be soft. Fourth, to encode the locality well, RFDDL defines the Laplacian matrix over recovered atoms, includes label information of atoms in terms of intra-class compactness and inter-class separation, and associates with group sparse codes and classifier to obtain the accurate discriminative locality-constrained coefficients and classifier. Extensive results on public databases show the effectiveness of our RFDDL.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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