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Open AccessArticle

A Sparse Classification Based on a Linear Regression Method for Spectral Recognition

Department of Automation, Xiamen University, Xiamen 361005, China
Xiamen Research Institute of National Center of Healthcare Big Data, Xiamen 361005, China
College of Mathematics, Physics and Electronic Information Engineering, Wenzhou University, Wenzhou 325035, China
Authors to whom correspondence should be addressed.
Appl. Sci. 2019, 9(10), 2053;
Received: 23 March 2019 / Revised: 11 May 2019 / Accepted: 15 May 2019 / Published: 18 May 2019
(This article belongs to the Section Optics and Lasers)
PDF [1658 KB, uploaded 18 May 2019]


This study introduces a spectral-recognition method based on sparse representation. The proposed method, the linear regression sparse classification (LRSC) algorithm, uses different classes of training samples to linearly represent the prediction samples and to further classify them according to residuals in a linear regression model. Two kinds of spectral data with completely different physical properties were used in this study. These included infrared spectral data and laser-induced breakdown spectral (LIBS) data for Tegillarca granosa samples polluted by heavy metals. LRSC algorithm was employed to recognize the two classes of data, and the results were compared with common spectral-recognition algorithms, such as partial least squares discriminant analysis (PLS-DA), soft independent modeling of class analogy (SIMCA), artificial neural network (ANN), random forest (RF), and support vector machine (SVM), in terms of recognition rate and parameter stability. The results show that LRSC algorithm is not only simple and convenient, but it also has a high recognition rate. View Full-Text
Keywords: spectral analysis; linear regression; regression residuals; sparse classification spectral analysis; linear regression; regression residuals; sparse classification

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Ye, P.; Ji, G.; Yuan, L.-M.; Li, L.; Chen, X.; Karimidehcheshmeh, F.; Chen, X.; Huang, G. A Sparse Classification Based on a Linear Regression Method for Spectral Recognition. Appl. Sci. 2019, 9, 2053.

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