0448985 20240103210932.020151022235959.9 1 s. P cav_un_epca*0448580ViennaCTBTO2015 Sparse Optimization Inverse Modelling Atmospheric Modelling cav_un_auth*0280972 Branda Martin Ekonometrie Department of Econometrics E E UTIA-B Department of Decision Making Theory Ústav teorie informace a automatizace AV ČR, v. v. i. cav_un_auth*0309054 Adam Lukáš Matematická teorie rozhodování Department of Decision Making Theory MTR MTR UTIA-B Department of Decision Making Theory Ústav teorie informace a automatizace AV ČR, v. v. i. http://library.utia.cas.cz/separaty/2015/E/branda-0448985.pdf 7F14287 GA MŠk CZ cav_un_auth*0318110 Inverse modelling plays an important role in identifying the amount of substances released into atmosphere during power plant accidents, volcano eruptions or CO2 emissions. The problem leads to minimization of the discrepancy between the measurements in atmosphere during a particular time period and the model predictions. First, we review the standard methods based on Tikhonov regularization and Bayesian modelling. Then, we propose several optimization techniques which can be used to find sparse solutions and discuss their modifications to handle selected constraints such as nonnegativity and simple linear constraints, for example the minimal or maximal amount of total release. These techniques range from successive convex approximations to solution of mixed-integer programming problems. Finally, the new methods are applied on the European Tracer Experiment (ETEX). cav_un_auth*0320636 CTBT: Science and Technology 2015 Vienna 22.06.2015-26.06.2015 AT 2016 4 O 4o 20231122141228.2 PO RVO:67985556 http://hdl.handle.net/11104/0250582 1 S 2015 Soubory v repozitáři: 0448985.pdf cav_un_epca*0448580 CTBT: Science and Technology 2015 Vienna CTBTO 2015