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A New Continuum Regression Method for Quantitative Analysis of Raman Spectrum

Authors: Shuo Li 0009; Jean Gao; James O. Nyagilo; Digant P. Dave;

A New Continuum Regression Method for Quantitative Analysis of Raman Spectrum

Abstract

Quantitative analysis of Raman spectrum using Surface Enhanced Raman scattering (SERS) nanoparticles has shown the potential and promising trend of development in vivo molecular imaging. Because of the high dimension of Raman spectra and limited number of samples, latent variable regression methods, e.g. principal component regression (PCR), reduced-rank regression (RRR) and partial least squares (PLS), are commonly used. According to different criteria, these methods tend to seek different latent variables of the spectra data. For PCR and RRR, the latent variables tend to best represent the Raman spectra and best predict the concentrations. PLS balances the two criteria with an equal weight. We design a new continuum regression (NCR) method that uses a weight parameter ? to control the portion of each criterion in the objective function, and embraces RRR (? = 0), PLS2 (? = 1) and PCR (? = ?) as its special cases. The experimental results show that its performance is better than the other two continuum regression methods.

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
3
Average
Average
Average
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