Presentation (Thursday, Oct 30): in http://www.iap.fr/users/gam/GAIACHALLENGE/Mamon.pdf

MAMPOSSt figures in http://www.iap.fr/users/gam/GAIACHALLENGE/mamposst_figures.tar.gz (9 MB) PlumCoreIso_1000
easy hard vhard
easy hard vhard
easy hard vhard
PlumCoreIso_100
easy hard vhard
easy hard vhard
easy hard vhard
easy hard vhard
easy hard vhard
easy hard vhard
easy hard vhard
easy hard vhard
easy hard vhard
easy hard vhard
PlumCoreOM_1000
easy hard vhard
easy hard vhard
easy hard vhard
PlumCoreOM_100
easy hard vhard
easy hard vhard
easy hard vhard
easy hard vhard
easy hard vhard
easy hard vhard
easy hard vhard
easy hard vhard
easy hard vhard
easy hard vhard
PlumCuspIso_1000
easy hard vhard
easy hard vhard
easy hard vhard
PlumCuspIso_100
easy hard vhard
easy hard vhard
easy hard vhard
easy hard vhard
easy hard vhard
easy hard vhard
easy hard vhard
easy hard vhard
easy hard vhard
easy hard vhard
PlumCuspOM_1000
easy hard vhard
easy hard vhard
easy hard vhard
PlumCuspOM_100
easy hard vhard
easy hard vhard
easy hard vhard
easy hard vhard
easy hard vhard
easy hard vhard
easy hard vhard
easy hard vhard
easy hard vhard
easy hard vhard
NonPlumCoreIso_1000
easy hard vhard
easy hard vhard
easy hard vhard
NonPlumCoreIso_100
easy hard vhard
easy hard vhard
easy hard vhard
easy hard vhard
easy hard vhard
easy hard vhard
easy hard vhard
easy hard vhard
easy hard vhard
easy hard vhard
NonPlumCoreOM_1000
easy hard vhard
easy hard vhard
easy hard vhard
NonPlumCoreOM_100
easy hard vhard
easy hard vhard
easy hard vhard
easy hard vhard
easy hard vhard
easy hard vhard
easy hard vhard
easy hard vhard
easy hard vhard
easy hard vhard
NonPlumCuspIso_1000
easy hard vhard
easy hard vhard
easy hard vhard
NonPlumCuspIso_100
easy hard vhard
easy hard vhard
easy hard vhard
easy hard vhard
easy hard vhard
easy hard vhard
easy hard vhard
easy hard vhard
easy hard vhard
easy hard vhard
NonPlumCuspOM_1000
easy hard vhard
easy hard vhard
easy hard vhard
NonPlumCuspOM_100
easy hard vhard
easy hard vhard
easy hard vhard
easy hard vhard
easy hard vhard
easy hard vhard
easy hard vhard
easy hard vhard
easy hard vhard
easy hard vhard

These models are a development of http://arxiv.org/abs/1303.6099. The marginal likelihood $p(D|\Phi)$ is calculated by representing the DF by an arbitrary number of Gaussians of arbitrary weight/location/covariance in action space and marginalising the parameters describing the Gaussians. So, no assumption is made about the light profile (except that it is axisymmetric) or the orbit anisotropy. The implementation is for now still limited to error-free data though.

The results below assume the correct double power-law form for potential with scale radius held at correct value. Unknown parameters are then the inner slope $\gamma$ and scale densty $\rho_0$.

These use the standard “extended Schwarzschild” approach, but using big blocks of orbits in $(E,L^2)$ (or equiv actions) instead of single orbits. The models are fed $(X,Y,V_X,V_Y)$ from PlumCuspIso with 2% errors in $(V_X,V_Y)$ – and infinite uncertainty in $(Z,V_Z)$

Noise in result is probably due to finite resolution of block DF, plus the deficiency of the maximum-likelihood approach used by such “extended-Schwarzschild” methods. And there might be some implementation errors too.