计算机科学 ›› 2018, Vol. 45 ›› Issue (6A): 151-156.
于传波,聂仁灿,周冬明,黄帆,丁婷婷
YU Chuan-bo,NIE Ren-can,ZHOU Dong-ming, HUANG Fan, DING Ting-ting
摘要： 对于遮挡、光照等影响因素,低秩线性回归模型具有很好的鲁棒性。LRRR(Low Rank Ridge Regression)以及DENLR(Discriminative Elastic-net Regularized Linear Regression)通过正则化系数矩阵在一定程度上减少了LRLR(Low Rank Linear Regression)产生的过拟合现象。但其没有考虑子空间数据的错误逼近,投影矩阵不能准确地将数据映射到目标空间。鉴于此,提出了一种运算更快、更具判别性的低秩线性回归分类新方法。首先,将0-1构成的矩阵作为线性回归的目标值;其次,利用核范数作为低秩约束的凸近似;然后,通过正则化各类别之间的距离矩阵和模型输出矩阵来降低过拟合,同时可以增强投影子空间的判别性;再次,利用增广拉格朗日乘子(Augmented Lagrangian Multiplier,ALM)优化目标函数;最后,在子空间中利用最近邻分类器进行分类。在AR、FERET人脸数据库、Stanford 40 Actions、Caltech-UCSD Bird以及Oxford 102 Flowers数据库上进行相关算法的对比实验,结果表明所提算法是有效的。
中图分类号:
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