Analysis of PM10 air pollution in Brno based on a GLM with strongly rank-deficient design matrix
2007
A family of complex (generalized) linear models has been
suggested exhibiting strong rank-deficiency in the design
matrix to allow for more precise modeling involving
identification of significant air pollution sources, among
others. From each of them the parameter estimates were obtained
using both standard estimation procedure and a new sparse
parameter estimation technique based on BPA4 - a four-step
modification of the Basis Pursuit Algorithm originally
suggested in [Chen {S. S.}, Donoho {D. L.}, Saunders {M. A.}.
Atomic decomposition by basis pursuit.SIAM J. Sci. Comput.,
20(1):33-61,1998.] for time-scale analysis of digital signals.
The goal of the analysis was to identify the model and
algorithm yielding most precise one-day forecasts of the level
of pollution by PM10 with regard to the meteorological and
seasonal covariates.
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