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Self-adaptive Group Lasso-based infrared spectrum wavelength selection method

A technology of infrared spectroscopy and wavelength selection, which is applied in the field of infrared spectroscopy wavelengths, and can solve the problems of weak robustness, small amount of calculation, and large amount of calculation.

Inactive Publication Date: 2015-10-07
ZHONGBEI UNIV
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Problems solved by technology

[0006] In order to overcome the disadvantages of large amount of calculation and weak robustness existing in the infrared spectrum wavelength selection method in the prior art, the present invention proposes a method based on adaptive Group Lasso with small amount of calculation, few adjustable parameters and strong robustness. Infrared Spectroscopy Wavelength Selection Method

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  • Self-adaptive Group Lasso-based infrared spectrum wavelength selection method
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  • Self-adaptive Group Lasso-based infrared spectrum wavelength selection method

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Embodiment Construction

[0038] The following embodiments further describe the present invention in conjunction with the accompanying drawings.

[0039] Combine the following figure 1 and figure 2 The present invention will be explained in detail.

[0040] like figure 1 As shown, assuming there are N samples, the infrared spectral signal scanned by the spectrometer is The corresponding content of the components to be analyzed is Among them, P is the number of wavelength points of the infrared spectrum, and in general, N<<P.

[0041] According to the principle of chemometrics, the content prediction model of the component to be analyzed can be expressed as

[0042] Y=Xβ+ε (1)

[0043] in, is the regression coefficient to be fitted; is the noise error.

[0044] To achieve wavelength selection, using convex optimization theory, the problem can be transformed into the following l 1 Norm sparse optimization problem:

[0045] β ^ λ = ...

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Abstract

The invention relates to the technical field of infrared spectrum wavelength, and concretely relates to a convex optimization theory-based novel infrared spectrum wavelength selection method. The method is a self-adaptive wavelength selection method adopting a Group Lasso technology without knowing spectrum partitioning priori knowledge. An infrared spectrum wavelength screening problem is converted into a Group Lasso sparse optimization problem, the sparse structure priori knowledge of the infrared spectrum is fully used to self-adaptively determine the partitioning size, a Shooting rapid algorithm is adopted to calculate the sparse solution, and Belsley colinearity examination of the sparse solution is carried out on the sparse solution to reject wavelength points with small contribution. The method has the advantages of small calculation capacity, few adjustable parameters and strong robustness, can effectively reduce the complexity of a model and improve the generalization performance of the model, and can be widely used in the field of infrared spectrum wavelength selection of a solid phase, a liquid phase and a gas phase.

Description

technical field [0001] The invention relates to the technical field of infrared spectrum wavelengths, and more particularly, to a novel infrared spectrum wavelength selection method based on convex optimization theory, which is an adaptive wavelength selection method that adopts the Group Lasso method and does not require prior knowledge of spectral segmentation. method. Background technique [0002] Infrared spectroscopic analysis is an emerging analytical technique, which has a wide range of applications in agriculture, chemical industry and environmental monitoring due to its advantages of rapidity, non-destructiveness and non-polluting. However, infrared spectroscopy usually has the characteristics of many wavelength points, overlapping absorption peaks, and serious collinearity between wavelength points, which makes subsequent qualitative and quantitative analysis difficult. Therefore, it is of great practical significance to study the wavelength selection method for s...

Claims

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G01N21/35
Inventor 陈媛媛李墅娜王志斌张瑞陈友华王芳李克武张敏娟李晋华
Owner ZHONGBEI UNIV
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