科大文库

文献详情

Laser induced breakdown spectroscopy for quantitative analysis based on low-rank matrix approximations

作者	Yi, Cancan^[1];Lv, Yong^[2];Xiao, Han^[3];Tu, Shan^[4]
文献类型	期刊
机构	[1]Wuhan Univ Sci & Technol, State Key Lab Refractories & Met, Wuhan 430081, Hubei, Peoples R China.;Wuhan Univ Sci & Technol, Key Lab Met Equipment & Control Technol, Minist Educ, Wuhan 430081, Hubei, Peoples R China.,Wuhan Univ Sci & Technol, Hubei Key Lab Mech Transmiss & Mfg Engn, Wuhan 430081, Hubei, Peoples R China.; [2]Wuhan Univ Sci & Technol, Key Lab Met Equipment & Control Technol, Minist Educ, Wuhan 430081, Hubei, Peoples R China.,Wuhan Univ Sci & Technol, Hubei Key Lab Mech Transmiss & Mfg Engn, Wuhan 430081, Hubei, Peoples R China.; [3]Wuhan Univ Sci & Technol, Key Lab Met Equipment & Control Technol, Minist Educ, Wuhan 430081, Hubei, Peoples R China.,Wuhan Univ Sci & Technol, Hubei Key Lab Mech Transmiss & Mfg Engn, Wuhan 430081, Hubei, Peoples R China.; [4]Guangxi Normal Univ, Inst Phys Sci & Technol, Guilin 541004, Peoples R China.; ↓
通讯作者	Xiao, H (reprint author), Wuhan Univ Sci & Technol, Key Lab Met Equipment & Control Technol, Minist Educ, Wuhan 430081, Hubei, Peoples R China.; Xiao, H (reprint author), Wuhan Univ Sci & Technol, Hubei Key Lab Mech Transmiss & Mfg Engn, Wuhan 430081, Hubei, Peoples R China.
期刊名称	JOURNAL OF ANALYTICAL ATOMIC SPECTROMETRY影响因子和分区
年	2017
卷	32
期	11
页码范围	2164-2172
增刊	正刊
收录情况	SCI(E)(WOS:000414343900006) EI(20174504372818)
期刊等级	A1
所属部门	耐火材料与冶金国家重点实验室
百度学术	Laser induced breakdown spectroscopy for quantitative analysis based on low-rank matrix approximations
语言	外文
ISSN	0267-9477
DOI	10.1039/c7ja00178a
被引频次	9
人气指数	5586
浏览次数	1309
基金	National Natural Science Foundation of China [51475339, 51105284, 11664003]; Natural Science Foundation of Hubei province [2016CFA042]; State Key Laboratory of Refractories and Metallurgy, the Wuhan University of Science and Technology [ZR201603]; Guangxi Key Laboratory of Optoelectronic Information Processing Open Foundation of China [KFJJ2017-01, KFJJ2016-01]; Research Project of Hubei Education [Q20131104]
关键词	laser-induced breakdown spectroscopy; low-rank matrix approximation; convex optimization; quantitative analysis.
摘要	In quantitative laser-induced breakdown spectroscopy (LIBS) analysis, spectral signals are usually represented by the linear combination of characteristic peaks with useful spectral information and unwanted noise components. All of the existing regression analysis methods are related to a spectral data matrix, which is composed of certified samples with different spectral intensity. Therefore, spectral data matrix processing is critical for quantitative LIBS analysis. A prevalent assumption when constructing a matrix approximation is that the partially observed matrix is of low-rank. Moreover, the low-rank structure always reflects the useful information and is regarded as a powerful data preprocessing method. In this paper, a novel and quantitative LIBS analysis method based on a sparse low-rank matrix approximation via convex optimization is proposed. Based on the sparsity of the spectral signals, we present a convex objective function consisting of a data-fidelity term and two parameterized penalty terms. To improve the accuracy of the quantitative analysis, a new non-convex and non-separable penalty based on the Moreau envelope is proposed. Then, the alternating direction method of multipliers (ADMM) algorithm was utilized to solve the optimization problem. The proposed method was applied to the quantitative analysis of 23 high alloy steel samples. Both of the performances of the Partial Least Squares (PLS) and Support Vector Machine (SVM) regression models are improved by using the low-rank matrix approximation scheme, which proves the effectiveness of the proposed method.