Infrared spectroscopy wavelength selection method based on partitioned sparse Bayesian optimization
A sparse Bayesian, infrared spectroscopy technology, applied in the measurement of color/spectral characteristics, etc., can solve the problems of strong robustness, small amount of calculation, and few adjustable parameters.
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[0036] The following embodiments will further describe the present invention in conjunction with the accompanying drawings.
[0037] The following combination figure 1 and figure 2 The present invention is described in detail.
[0038] like figure 1 As shown, assuming that there are N samples, the infrared spectrum 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 in the infrared spectrum, and generally N<<P.
[0039] According to the principle of chemometrics, the content prediction model of the components to be analyzed can be expressed as
[0040] Y=Φx+v(1)
[0041] in, is the regression coefficient to be fitted; is the noise error.
[0042] To achieve wavelength selection, using convex optimization theory, the problem can be transformed into the following l 1 Norm sparse optimization problem:
[0043] x ^ η ...
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