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Toric Ideals, Real Toric Varieties, and the Algebraic Moment Map
Geometric modeling projective after surface after surface linear projection
2014/12/29
This is a tutorial on some aspects of toric varieties related to their potential use in geometric modeling. We discuss projective toric varieties and their ideals, as well as real toric varieties. In ...
Feasibility and performances of compressed-sensing and sparse map-making with Herschel/PACS data
Instrumentation and Methods for Astrophysics (astro-ph.IM) Galaxy Astrophysics (astro-ph.GA) Applications (stat.AP)
2010/12/17
The Herschel Space Observatory of ESA was launched in May 2009 and is in operation since. From its distant orbit around L2 it needs to transmit a huge quantity of information through a very limited ba...
On the definition of probability densities and sufficiency of the likelihood map
the definition of probability densities sufficiency of the likelihood map
2009/9/22
The defiition and sufficiency of the likelihood map are
discussed in detail. It is shown that the likelihood map is sdlicient
without any restriction on the family of probability measures and that
...
From the likelihood map to Euclidean minimal sufficiency
the likelihood map Euclidean minimal sufficiency
2009/9/22
We use the minimal sufficiency of the likelihood map
(Fraser et al. 1911 to show the existence of a minimal sufficient statistic
with Euclidean range under weak regularity conditions, and to extend
...
Invariant HPD credible sets and MAP estimators
Bayesian statistics HPD MAP Jereys measure nuisance parameters reference prior
2009/9/22
MAP estimators and HPD credible sets are often criticized in the
literature because of paradoxical behaviour due to a lack of invariance under
reparametrization. In this paper, we propose a new vers...