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--- tests:sphtri:results [2014/10/31 20:04] – [MAMPOSSt Plots] deleted as I moved it up one paragraph gmamon
+++ tests:sphtri:results [2022/10/24 12:26] (current) – external edit 127.0.0.1
@@ Line 5: / Line 5: @@
 | MAMPOSSt | 8 non-tangential (312 cases) |[[http://www.iap.fr/users/gam/GAIACHALLENGE/mamposst.tar.gz]] (including ReadMe.txt) |
 ===== MAMPOSSt =====
-Presentation (Thursday, Oct 30): in [[http://www.iap.fr/users/gam/GAIACHALLENGE/Mamon.pdf]]
+MAMPOSSt ([[http://adsabs.harvard.edu/abs/2013MNRAS.429.3079M|Mamon, Biviano & Boué 2013]]) performs mass / orbit modeling by
+fitting the distribution of tracers in projected phase space (PPS: projected
+radius, line-of-sight velocity), assuming a mass profile, a velocity
+anisotropy profile and a 3D velocity distribution (here Gaussian). The
+algorithm performs very well on mock clusters ([[http://adsabs.harvard.edu/abs/2013MNRAS.429.3079M|Mamon, Biviano & Boué 2013]]; [[http://adsabs.harvard.edu/abs/2014MNRAS.441.1513O|Old et
+al. 2014]]), and in particular finished 2nd among 25 algorithms on determining
+M<sub>200</sub> of groups and clusters from a mock built by a semi-analytical model of
+galaxy formation ([[http://adsabs.harvard.edu/abs/2015MNRAS.449.1897O|Old et al. 2015]]).
-Plots of results are [[:tests:sphtri:results:mamposst|here]].
+MAMPOSSt was run on the 8 non-tangential models of the default mock data
+suite. For each (6D) mock, the (2+1D) PPS was extracted for a distant
+observer placed along the z axis, using 3 random subsets of 1000 stars (among
+,000) and 10 random subsets of 100 stars. The outermost star considered was
+times the radius of slope --2 of the true number density profile. MAMPOSSt was run in 3 increasing levels of difficulty:
+//Easy//: The tracer number density profile is known. The shape of the velocity
+anisotropy profile is known, but for OM anisotropy, the radius of transition
+is a free parameter. The mass density profile is assumed to be a generalized NFW
+(where the inner slope, radius of slope --2 and normalization are free
+parameters). Hence, there are 3 to 4 free parameters depending on whether the
+system has isotropic or OM velocities, respectively.
+//Hard//: Like Easy, but the velocity anisotropy is assumed to be of the [[http://adsabs.harvard.edu/abs/2007A%26A...476L...1T|Tiret+07]]
+(with //β//<sub>0</sub>=0, i.e. generalized [[http://adsabs.harvard.edu/abs/2005MNRAS.363..705M|Mamon-Lokas 2005b]]) form: //β//(//r//) = //β//<sub>∞</sub>
+//r// / (//r//+//r//<sub>--2</sub>), where the transition radius is set
+to the radius of slope --2 of the number density profile. This anisotropy model increases more gradually from inner isotropy to more radial outer anisotropy than does the OM model, and is more consistent with the anisotropy profiles in ΛCDM halos. The number of free parameters is 4.
+//Very Hard//: Like Hard, but the tracer number density profile is unknown,
+assumed to be a generalized Plummer profile where the scale radius and inner
+slope are free paramaters. The number of free parameters is thus 6.
+Altgether, the total number of MAMPOSST runs was 8 x (3+10) x 3 = 312.
+The units used are kpc for scales, km/s for velocities, and M<sub>Sun</sub> for masses.
+In all cases, the inner slope of the dark matter is allowed to vary from --2 to 0.
+**Presentation** (30 Oct 2014): in [[http://www.iap.fr/users/gam/GAIACHALLENGE/Mamon.pdf]]
+**Diagnostic plots of results** (for each of the 312 MAMPOSSt runs) are [[:tests:sphtri:results:mamposst|here]].
 ===== DPM mixture of blobs =====
 These models are a development of [[http://arxiv.org/abs/1303.6099]].
@@ Line 38: / Line 70: @@
 And there might be some implementation errors too.
-===== Spherical DF fit using full 6D data and assuming NFW profile =====
+===== Spherical steady state model fit using full 6D data and assuming NFW profile =====
+No error:
+{{:tests:sphtri:denspall.png}}
+With error:
+{{:tests:sphtri:denspallerr.png}}
+Best fit mass and concetration for the 3D triaxial cusp model:
+{{:tests:sphtri:contour_starsincusp3d.png}}
+For this case, mass seems to be over-estimated compared with the true value
+<latex>
+    $1.171\times 10^9 M_\odot$.
+</latex>
+==== Discrete Jeans ====
+Discrete framework from [[http://adsabs.harvard.edu/abs/2013MNRAS.436.2598W|Watkins et al. (2013)]]. Models are spherical JAM [[http://adsabs.harvard.edu/abs/2008MNRAS.390...71C|Cappellari 2008]] using LOS and PMs.
+Runs with 10000/1000/100 stars.
+Three levels:
+  * "easy_free" : Easy: 3 free parameters: rho0, r_dark, gamma_dark
+  * "aniso_free" : Medium: 4 free parameters: rho0, r_dark, gamma_dark, r_aniso
+  * "hard" : Hard: 6 free parameters: rho0, r_dark, gamma_dark, r_aniso, r_star, gamma_star
+Some bonus runs/tests... "easy_core" (fit for rho0 and r_dark, assuming gamma_dark=0); "easy_cusp" (fit for rho0 and r_dark, assuming gamma_dark=1); "aniso" (fir for r_aniso only).
-{{:tests:sphtri:wang.png}}
+[[https://www.dropbox.com/sh/zo2q9j0plm4185p/AADduuWWUOjbUvs53weCZHuja?dl=0|all results on dropbox]]