Enrique Paillas, Pauline Zarrouk, Yan-Chuan Cai, Will Percival, Sesh Nadathur, Mathilde Pinon, Arnaud de Mattia, Florian Beuler
Constraining vΛCDM:
beyond two-point functions
Carolina Cuesta-Lazaro
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IAIFI fellow - MIT/CfA
arXiv:2209.04310
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Linear
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Early Universe
~linear
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Gravity
Late Universe
Non-linear
Credit: S. Codis+16
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Non-Guassianity
Second moment not optimal
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arxiv:1911.11158
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Autocorrelation
Cross-correlation with haloes
Monopole
Quadrupole
Voids
Clusters
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Estimating sensitivity to cosmology: Fisher information
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The Quijote simulations
arXiv:1909.05273
Covariance
Derivatives
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Finite differences
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Where does the information come from?
?
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Density split in a Gaussian Random Field
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But, can we estimate densities realistically?
?
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Real
Redshift
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Cross-correlation between quintiles and haloes
Monopole
Quadrupole
Monopole
Quadrupole
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Autocorrelation of quintiles
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Comparison against other works that have used the same set of tracers
Simulated Data
Data
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Prior
Posterior
Inverse problem
Forwards model
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+ Galaxy-Halo connection
+ Cut-sky
+ Lightcone
+ Alcock-Paczinsky
+ Fiber collisions
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Forward Model
N-body simulations
Observations
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Density split in a SDSS BOSS
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CMASS 0.46 < z < 0.6
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Galaxy-Halo connection
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Main Assumptions
- Galaxies don't impact dark matter clustering
- Number of galaxies depends on halo mass only
Extensions: Get creative!
But these extensions might limit our constraining power
a) Use hydro simulations to limit options
b) Mask the data to optimise robustness?
Velocity bias
Assembly bias
Environment
Concentration
Formation time
...
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Credit: https://cs231n.github.io/convolutional-networks/
Neural Network emulator
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Implicit likelihood inference with normalising flows
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No assumptions on the likelihood (likelihoods rarely Gaussian!)
No expensive MCMC chains needed to estimate posterior
Input
x
Neural network
f
Representation
(Summary statistic)
r = f(x)
Output
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Increased interpretability through structured inputs
Modelling cross-correlations
What ML can do for cosmology
- ML to accelerate non-linear predictions and density estimation
- Can ML extract **all** the information that there is at the field-level in the non-linear regime?
- Compare data and simulations, point us to the missing pieces?
cuestalz@mit.edu
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Copy of Copy of DensitySplit
By carol cuesta
Copy of Copy of DensitySplit
- 259