Air pollution analysis based on sparse estimates from an overcomplete model

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Authors

VESELÝ Vítězslav TONNER Jaromír MICHÁLEK Jaroslav KOLÁŘ Miroslav

Year of publication 2006
Type Article in Proceedings
Conference Program and Abstracts, The Seventeenth International Conference on Qualitative Methods for the Environmental Sciences, TIES 2006
MU Faculty or unit

Faculty of Economics and Administration

Citation
Field Applied statistics, operation research
Keywords Air Pollution; Sparse estimates; Overcomplete model;
Description For the analysis of air pollution by suspended particulate matter (PM_10) in the city of Brno (Czech Republic) an overcomplete ARX model involving polynomial trend component has been used. We apply a new sparse parameter estimation technique based on the Basis Pursuit Algorithm originally suggested by Chen et al [SIAM Review 43 (2001), No. 1] for time-scale analysis of digital signals and utilizing numerical procedures by the first author and M.A.Saunders. The new approach allows one to reliably identify significantly non-zero parameters in the overparametrized model and thus fix model components relevant to the air pollution mechanism.
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