Using the correlation matrix for regularization of parameter fitting by the least-squares method

Anatoly P. Shcherbakov; Alexander M. Pshenichnikov

doi:10.1117/12.497174

27 March 2003 Using the correlation matrix for regularization of parameter fitting by the least-squares method

Anatoly P. Shcherbakov, Alexander M. Pshenichnikov

Proceedings Volume 5026, Ninth Joint International Symposium on Atmospheric and Ocean Optics/Atmospheric Physics. Part I: Radiation Propagation in the Atmosphere and Ocean; (2003) https://doi.org/10.1117/12.497174
Event: Ninth Joint International symposium on Atmospheric and Ocean Optics, 2002, Tomsk, Russian Federation

Abstract

Cases of divergence of fitting the parameters by least-squares technique occur at automatic spectrum processing. Regularization is used for raising a stability of this procedure. A regularization coefficients is presented in this paper. Computer-aided system using represented techniques was developed.

Citation Download Citation

Anatoly P. Shcherbakov and Alexander M. Pshenichnikov "Using the correlation matrix for regularization of parameter fitting by the least-squares method", Proc. SPIE 5026, Ninth Joint International Symposium on Atmospheric and Ocean Optics/Atmospheric Physics. Part I: Radiation Propagation in the Atmosphere and Ocean, (27 March 2003); https://doi.org/10.1117/12.497174

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