|2018||Moment ideals of local Dirac mixtures||arXiv, accepted for publication|
|with M. Wageringel||Algebraic methods can find wide use in parameter estimation from statistical moments. In this work we use tools from elimination theory, the extended Prony method, and numerical algebra to reconstruct parameters from mixtures of local Diracs. Computational algebra mixes successfully with applications in statistics and signal processing.
The picture shows the moment hypersurface of a first order local Dirac mixture, i.e. the variety parametrized by the moments. It is the tangent to the twisted cubic, in the same way that regular mixing gives rise to secants.