2018
DOI: 10.1109/tip.2018.2803305
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Underlying Connections Between Algorithms for Nongreedy LDA-L1

Abstract: To solve the essential objective of LDA-L1, NLDA-L1 proposes a nongreedy algorithm by constructing an auxiliary function. In this correspondence, we show that essentially, this algorithm directly solves the objective using a gradient ascending procedure, meaning that the auxiliary function may be not necessary. Then, we further show that NLDA-L1 is a special case of ILDA-L1, which applies the same iterative procedure of ILDA-L1.

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Cited by 10 publications
(3 citation statements)
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“…Inspired by the L1-normbased algorithms, several dimensionality reduction methods have been exploited. For instance, the most representative are LDA-L1 [23], 2DLDA-L1 [24], 2DPCA-L1 [25], and 2DCRP-L1 [26].…”
Section: Related Workmentioning
confidence: 99%
“…Inspired by the L1-normbased algorithms, several dimensionality reduction methods have been exploited. For instance, the most representative are LDA-L1 [23], 2DLDA-L1 [24], 2DPCA-L1 [25], and 2DCRP-L1 [26].…”
Section: Related Workmentioning
confidence: 99%
“…或其局部的表面特性 [1] , 其被广泛地用作人脸特征 描述符, 以区分和检索图像 [2][3] . 全局纹理描述符 可以刻画人脸的粗略信息, 具有代表性的方法有 主 成 分 分 析 法 (principal component analysis, PCA) [4] 和 线 性 判 别 分 析 法 (linear discriminant analysis, LDA) [5] 等. 而局部纹理描述符更能反映 人脸图像鉴别信息的细节部分, 通常它对光照和 表情等变化因素具有较强的鲁棒性.…”
Section: 人脸识别大多数研究中都使用了纹理分析和 分类 纹理反映了图像的视觉特征 表征一个物体unclassified
“…Motivated by the aforementioned l 1 -norm-based methods, many l 1 -norm-based techniques have been further promoted for data dimensionality reduction and image recognition. Two of the most representative methods are LDA-L1 [26], [27] and 2DPCA-L1 [28], [29]. Moreover, to broaden the applicability of the l 1 -norm, the l 1 -norm has been extended to the l p -norm, and a series of l p -norm-based methods have been proposed [30]- [36].…”
Section: Introductionmentioning
confidence: 99%