基于邻域图的低秩投影学习  

Low-Rank Projection Learning Based on Neighbor Graph

作　　者：胡文涛 陈秀宏[1] HU Wentao;CHEN Xiuhong(School of Digital Media,Jiangnan University,Wuxi,Jiangsu 214122,China)

机构地区：[1]江南大学数字媒体学院,江苏无锡214122

出　　处：《计算机工程与应用》2021年第7期209-214,共6页Computer Engineering and Applications

基　　金：江苏省研究生科研与实践创新计划项目(KYCX18_1871)。

摘　　要：特征提取算法通常只单独用到了数据的局部结构或者整体结构,这样将得不到全局最优投影矩阵,且投影矩阵不具备很好的可解释性。为此,提出了一种基于邻域图的低秩投影学习算法。该算法通过在数据的重构残差上施加图约束来保持数据的局部结构,同时引入低秩项来保持整体结构;算法利用L_(2),1范数行稀疏的性质对投影矩阵进行约束,这样可以剔除冗余特征,提高投影矩阵的可解释性;并且算法引入噪声稀疏项来减弱样本本身存在噪声的干扰。模型采用交替迭代方法求解,在多个数据集上的实验结果表明该算法能有效地提高分类精度。The feature extraction algorithms only use the local structure or the global structure of data,so they will not get the global optimal projection matrix,and projection matrix does not have good interpretability.In this paper,a low-rank projection learning algorithm based on neighborhood graph is proposed.The algorithm imposes the graph constraint on the reconstruction error of data to maintain the local structure of data,and introduces a low-rank term to preserve the global structure;the property of L_(2),1 norm row sparsity is used to constrain the projection matrix.In this way,redundant features can be eliminated,and the interpretability of projection matrix can be improved.Meanwhile,a noise sparse term is introduced to weaken the interference of noise from samples.The model is solved by alternating iteration method,and the experimental results on multiple datasets show that the algorithm can effectively improve the classification accuracies.

关 键 词：图像处理 特征提取 低秩表示 人脸识别 

分 类 号：TP391[自动化与计算机技术—计算机应用技术]