光谱学与光谱分析 |
|
|
|
|
|
A Dimension Reduction Method Applied in Spectrum Analysis |
LI Qing-bo, JIA Zhao-hui |
Key Laboratory of Precision Opto-Mechatronics Technology, Ministry of Education, School of Instrument Science and Opto-Electronics Engineering, Beihang University, Beijing 100191, China |
|
|
Abstract It is the premise of establishing stable and accurate model to extract useful information from spectrum data in Vis/NIR spectrum analysis technology. ISOMAP is a dimension reduction method, and can effectively extract the intrinsic low dimension from high dimensional data, but is sensitive to noise and neighborhood parameter. In this paper, an improved ISOMAP algorithm, called supervised dimension reduction, is proposed. It guides the construction of the neighborhood graph using correlation owned by spectrum data, and reduces sensitivity to noise and neighborhood parameter. The algorithm was applied to two datasets, and then PLS models were established. The experiment results indicated that the improved algorithm was less sensitive to the neighborhood size and more robust and more topologically stable. In addition, smaller dimension was extracted, and the model precision was improved at the same time.
|
Received: 2012-08-09
Accepted: 2012-11-12
|
|
Corresponding Authors:
LI Qing-bo
E-mail: qbleebuaa@buaa.edu.cn
|
|
[1] Cox T, Cox M. Multidimensional Scaling. London: Chapmanand Hall, 2001. [2] Tenenbaum J B, Silva V D, Langford J C. Science, 2000, 290(22): 2319. [3] WEI Lai, WANG Shou-jue, XU Fei-fei(魏 莱, 王守觉, 徐菲菲). Computer Applications(计算机应用), 2007, 27(8): 1959. [4] Xin Geng, Zhan Dechuan, Zhou Zhihua. IEEE Transactions on Systems, Man, and Cybernetics-Part B: Cybernetics, 2005, 35(6): 1098. [5] XU Wei-dong, YIN Qiu, KUANG Ding-bo, et al(许卫东, 尹 球, 匡定波, 等). Journal of Infrared and Millimeter Waves(红外与毫米波学报), 2005, 24(4): 296. [6] FU Hong-bo(付洪波). Geomatics & Spatial Information Technology(测绘与空间地理信息), 2011, 34(6):82. [7] LU Wan-Zhen(陆婉珍). Modern Near Infrared Spectroscopy Analytical Technology(现代近红外光谱分析技术). Beijing: China Petrochemical Press(北京: 中国石化出版社), 2007. 35. [8] Veronica Ciganda, Anatoly Gitelson, James Schepers. Journal of Plant Physiology, 2009, 166: 157. [9] LIU Fei, WANG Li, HE Yong, et al(刘 飞, 王 莉, 何 勇, 等). Journal of Infrared and Millimeter Waves(红外与毫米波学报), 2009, 28(4): 272.
|
|
|
|