Optimal combination of data modes in inverse problems: maximum compatibility estimate
Optimization and Control
2011-02-23 v1 Numerical Analysis
Abstract
We present an optimal strategy for the relative weighting of different data modes in inverse problems, and derive the maximum compatibility estimate (MCE) that corresponds to the maximum likelihood or maximum a posteriori estimates in the case of a single data mode. MCE is not explicitly dependent on the noise levels, scale factors or numbers of data points of the complementary data modes, and can be determined without the mode weight parameters. As a case study, we consider the problem of reconstructing the shape of a body in from the boundary curves (profiles) and volumes (brightness values) of its generalized projections.
Cite
@article{arxiv.1001.2634,
title = {Optimal combination of data modes in inverse problems: maximum compatibility estimate},
author = {Mikko Kaasalainen},
journal= {arXiv preprint arXiv:1001.2634},
year = {2011}
}
Comments
ISAAC 2009 (London) conference proceedings