Adaptively weighted PCA algorithm

Computer Engineering and Applications ›› 2012, Vol. 48 ›› Issue (3): 189-191.

• 图形、图像、模式识别 • Previous Articles Next Articles

Adaptively weighted PCA algorithm

YANG Kairui, MENG Fanrong, LIANG Zhizhen

School of Computer Science and Technology, China University of Mining and Technology, Xuzhou, Jiangsu 221116, China

Received:1900-01-01 Revised:1900-01-01 Online:2012-01-21 Published:2012-01-21

一种自适应权值的PCA算法

杨开睿，孟凡荣，梁志贞

中国矿业大学计算机科学与技术学院，江苏徐州 221116

Abstract

Abstract: Considering the sensitivity of PCA to outliers, a new adaptive weighted PCA is proposed to improve the robustness. Based on PCA, an optimization model by minimizing the weighted reconstruction error is constructed. Information entropy is introduced to adjust the weight of each sample’s reconstruction error. An iterative optimization algorithm is used to solve the model. Experiment results on Yale face database and UCI data sets show the robustness and recognition of the method.

Key words: feature extraction, Principal Component Analysis（PCA）, Weighted Principal Component Analysis（WPCA）, reconstruction error, robustness

摘要： 针对传统PCA方法对离群点鲁棒性差的问题，提出了一种具有更高鲁棒性且自适应权值的PCA方法。在PCA方法的基础上建立了一个加权的重建误差和最小模型，通过引入信息熵来调节重建误差的权值；通过交替优化算法迭代求解模型。在Yale人脸库和UCI数据集上的实验表明该方法具有很好的鲁棒性和识别率。

关键词: 特征提取, 主成分分析, 加权主成分分析, 重建误差, 鲁棒性

YANG Kairui, MENG Fanrong, LIANG Zhizhen. Adaptively weighted PCA algorithm[J]. Computer Engineering and Applications, 2012, 48(3): 189-191.

杨开睿，孟凡荣，梁志贞. 一种自适应权值的PCA算法[J]. 计算机工程与应用, 2012, 48(3): 189-191.

[1]	BAO Zhiqiang, XING Yu, LYU Shaoqing, HUANG Qiongdan. Improved YOLO V2 6D Object Pose Estimation Algorithm [J]. Computer Engineering and Applications, 2021, 57(9): 148-153.
[2]	XU Degang, WANG Lu, LI Fan. Review of Typical Object Detection Algorithms for Deep Learning [J]. Computer Engineering and Applications, 2021, 57(8): 10-25.
[3]	HU Wentao, CHEN Xiuhong. Low-Rank Projection Learning Based on Neighbor Graph [J]. Computer Engineering and Applications, 2021, 57(7): 209-214.
[4]	ZHANG Xiaoli, ZHANG Kuixing, JIANG Mei, WEI Benzheng, CONG Jinyu. Review of Image Classification Technology for Lymphoma [J]. Computer Engineering and Applications, 2021, 57(6): 1-9.
[5]	YU Duo, HUANG Yongdong. Hyperspectral Image Classification Based on SPCA and Domain Transform Recursive Filtering [J]. Computer Engineering and Applications, 2021, 57(4): 199-208.
[6]	XIONG Jian, QIN Renchao, HE Mengyi, LIU Jianlan, TANG Fengyang. Application of Improved Random Forest Algorithm in Android Malware Detection [J]. Computer Engineering and Applications, 2021, 57(3): 130-136.
[7]	BAI Zhixu, WANG Hengjun, GUO Kexiang. Summary of Adversarial Examples Techniques Based on Deep Neural Networks [J]. Computer Engineering and Applications, 2021, 57(23): 61-70.
[8]	LI Longlong, HE Dongjian, WANG Meili. Study of Plant Leaf Image Recognition Based on Improved Local Binary Pattern Algorithm [J]. Computer Engineering and Applications, 2021, 57(19): 228-234.
[9]	LI Jie, LI Miao, YUAN Xiguo. Detection Algorithm?of Pathogenic Microbes from Next-Generation Sequencing Data [J]. Computer Engineering and Applications, 2021, 57(19): 282-289.
[10]	GUO Hengguang, LIU Wenbiao, YU Renbo. Shape Feature Extraction Using Spike Function [J]. Computer Engineering and Applications, 2021, 57(18): 220-226.
[11]	LI Zhenqiang, WANG Shucai, ZHAO Shida, BAI Yu. Cutting Methods of Sheep’s Trunk Based on Improved DeepLabv3+ and XGBoost [J]. Computer Engineering and Applications, 2021, 57(18): 263-269.
[12]	LI Song, LIU Zhe, TANG Xiaomei, WU Jian, WANG Feixue. Fixed-Point Iterated Huber-Based Robust Cubature Kalman Filter [J]. Computer Engineering and Applications, 2021, 57(16): 90-96.
[13]	LIU Xingchen, JIA Juncheng, ZHANG Li, HU Qinhan. Feature Concentration Network for Image Super-Resolution [J]. Computer Engineering and Applications, 2021, 57(16): 213-219.
[14]	GUANG Ruizhi, AN Bowen, PAN Shengda. Channel Ship Detection Algorithm for Aerial Image Based on Anchor-Free Network [J]. Computer Engineering and Applications, 2021, 57(15): 251-258.
[15]	ZHOU Xiaojing, CHEN Junhong, YANG Zhenguo, LIU Wenyin. Manipulation Action Recognition Based on Gesture Feature Fusion [J]. Computer Engineering and Applications, 2021, 57(14): 169-175.

Adaptively weighted PCA algorithm

一种自适应权值的PCA算法

PDF

Knowledge

Abstract

Cite this article

share this article

References

Related Articles 15

Recommended Articles

Metrics