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Averaging Atmospheric Gas Concentration Data using Wasserstein Barycenters

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arxiv 2010.02762 v1 pith:RIDNZQR5 submitted 2020-10-06 cs.LG math.OC

Mathieu Barré , Clément Giron , Matthieu Mazzolini , Alexandre d'Aspremont This is my paper · ORCID
classification cs.LGmath.OC
keywords dataatmosphericaveragesbarycentersconcentrationimagessimplewasserstein
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Hyperspectral satellite images report greenhouse gas concentrations worldwide on a daily basis. While taking simple averages of these images over time produces a rough estimate of relative emission rates, atmospheric transport means that simple averages fail to pinpoint the source of these emissions. We propose using Wasserstein barycenters coupled with weather data to average gas concentration data sets and better concentrate the mass around significant sources.

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