Source reconstruction using a bilevel optimisation method with a smooth weighted distance function
Atmospheric and Oceanic Physics
2016-07-19 v1
Abstract
We consider a bilevel optimatisation method for inverse linear atmospheric dispersion problems where both linear and non-linear model parameters are to be determined. We propose that a smooth weighted Mahalanobis distance function is used and derive sufficient conditions for when the follower problem has local strict convexity. A few toy-models are presented where local strict convexity and ill-posedness of the inverse problem are explored, indeed the smooth distance function is compared and contrasted to linear and piecewise linear ones. The bilevel optimisation method is then applied to sensor data collected in wind tunnel experiments of a neutral gas release in urban environments (MODITIC).
Cite
@article{arxiv.1607.04804,
title = {Source reconstruction using a bilevel optimisation method with a smooth weighted distance function},
author = {Niklas Brännström and Leif Å Persson},
journal= {arXiv preprint arXiv:1607.04804},
year = {2016}
}