Statistical dynamic image reconstruction in state-of-the-art high
Statistical reconstruction and simulation of the initial conditions … · 2014-12-01 · Guilhem...
Transcript of Statistical reconstruction and simulation of the initial conditions … · 2014-12-01 · Guilhem...
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Guilhem Lavaux
Workshop "Deciphering the Dynamic Universe"
Statistical reconstruction and simulation of the initial conditions of our Local Universe
(PLUS project)
November 27th 2014
Institut d'Astrophysique de Paris / CNRS
Collaboration: J. Jasche, S. Peirani, PLUS collaboration
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Motivation
● Galaxy catalogues static picture of the Universe
● Large scale structurenon-trivial statistical properties
● Initial conditions trivial (and a test is interesting per se)
● Foreground/selection effects must be taken care of
complementary observationsConstrained simulations
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A static picture of Local Universe
2M++, Lavaux & Hudson (2011)
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Completeness at K=11.5 Completeness at K=12.5
Galaxy distribution
The 2M++ galaxy redshift catalogLavaux & Hudson (2011, MNRAS)
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Local Universe simulation (PLUS)
Aim: Biggest and most accurate simulation of the Local Universe
Current observational base: 2M++ (Lavaux & Hudson 2012)
BORG(Jasche & Wandelt 2013)
2M++ dataset SFI++/Taipan/6dFLarger surveys (2MPZ...)
SuperVelMod(Lavaux 2014)
Small scale improvements (10-15 Mpc/h subbox, enforce distances)
Local Group + Local Sheet simulation
Large scale Initial conditions(600 Mpc/h, 2563 phases, extended to 10243)
Dark MatterBaryon physics
Fine bias calibration
DONE TO DO NEW TECHNOLOGY
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The BORG data model
−logP (δ ,α ,~n )=A+∑i
~n R i(1+δNL ,i [δ ])α−N iα log (1+δNL, i [δ ])+∑k
| δ̂k |2
2 Pk
Field derived from Cloud-In-Cell + 2LPT dynamicsδNL [δ]
Linear response operator (mask, radial selection)
« Mean » density of tracers
NGP binned data
Poisson probabilityGaussian prior
bias
sampled using Hamiltonian Monte Carlo algorithmδ
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Parameter exploration using HMC
Evolve system with Hamiltonian dynamics
Pump and dump energy in the system by varying
Create an Hamiltonian :
Assimilate the posterior to a potential energy :
Compute acceptance :
Generate a MC sample dropping the state of
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Parameter exploration using HMC
Evolve system with Hamiltonian dynamics
Pump and dump energy in the system by varying
Create an Hamiltonian :
Assimilate the posterior to a potential energy :
Compute acceptance :
Generate a MC sample dropping the state of
INVOLVE GRADIENT COMPUTATIONS !INVOLVE GRADIENT COMPUTATIONS !
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Power spectrum / Phase convergence
0.1 1
10-6
10-5
10-4
10-3
10-2
10-1
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Large scale structure detection and caracterization
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Binned distribution of galaxies
Sloan Wall
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Final dark matter density distribution
Sloan Wall
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Dark matter density distribution (ARES view)
Sloan Wall Mpc/h
Mpc/h
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Supergalactic plane
Shapley concentration
Coma
Pisces-Cetus
Perseus-Pisces
?
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Another example: Tully's void
Thick 2M++ slice (± 20 Mpc/h), Density field in the galactic plane
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Another example: Tully's void
Thin HIPASS slice (± 20 Mpc/h), Density field in the galactic plane
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BORG/DIVA structure classification
Dynamically based structure classifier (DIVA, Lavaux & Wandelt 2010)
Only possible when displacement field is available
BORG !
MC Sample Displacement +Shear field
DIVA classification (Watershed + Eigenvalues)
Initial condition voxel marking
Lagrangian transport
Eulerian classification MC Map
Lavaux & Jasche (in prep.), Leclercq et al. (arxiv : 1410.0355)
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Another example: Tully's void
Thin HIPASS slice (± 20 Mpc/h), Density field in the galactic plane
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Void probability density in the galactic plane (DIVA criterion), HIPASS slice (± 10 Mpc/h)
Structure finding with BORG/DIVA
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Full resimulation
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Initial conditions
Sloan Wall
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Local Universe Simulation
600 Mpc/h, 60 Mpc/h projection, 5123 dark matter PLUS collaboration
OTHER MOVIE
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2M++ galaxy catalogue (Lavaux & Hudson 2012)
Local Universe Simulation
Large scales: BORG (Jasche & Wandelt)
600 Mpc/h, 200 Mpc/h projection, 10243 dark matter PLUS collaboration
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2M++ galaxy catalogue (Lavaux & Hudson 2012)
Local Universe Simulation
Large scales: BORG (Jasche & Wandelt)
600 Mpc/h, 60 Mpc/h projection, 20483 dark matter, z=1 PLUS collaboration
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Conclusion
Full resimulationStructure prediction
and/or classification
BORG
Galaxy surveys + Data model (selection, bias, completeness, ...)
Final density Initial density
Preliminary results 5123, 10243 (20483 to come)
Stable large scale structuration
PLUS project - redshift space distortion - Local Group dynamics - hydrodynamics
Available ensemble final density fields
Showcases for Tully's void and Sloan Wall