Summary:
Focus: Analysis of cosmological survey data
LambdaCDM model:
History of the universe:
Big Bang
Cosmic Inflation
Galaxies form, dark matter is 85% of matter
10B years: dominated by dark energy driving cosmological expansion
Model Parameters
How much matter
How much baryons
How fast universe is expanding
How ripples in early universe were distributed
How clumpy the universe is at large scales
Challenge: different families of measurements (early vs late universe) predict different values of of the expansion rate parameters
Using data from galaxy observations
Large-scale galaxy structures depend on
Expansion of universe
Gravitational attraction and motion of galaxy clusters
Sound wave propagation through early universe baryonic matter
Currently using coarse statistical analysis based on co-occurence of galaxy pairs/structures under different evolution/statistical assumptions
Approach:
Use simulations of galaxy to predict spatial distribution of galaxies and compare to galaxy survey data. Infer best simulation parameters based on simulation’s prediction error.
Quijote: n-body galaxy simulation
Molino: galaxy catalogs from Quijote
Insight: many different metrics of the distribution of galaxies based on regional structure; valuable area for exploration to improve model accuracy
Challenge: difficult to infer the fine-scale structure of the universe due to modeling and experimental challenges
Approach: generative model of universe structure
Run simulation many times to generate many possible galaxy structures
Compare predicted statistical distribution to real cosmological survey data
Use KL Divergence to differentiate predicted probability distribution from the real distribution
Use this to infer a tighter distribution of values of Lambda-CDM parameters
Running simulations is too expensive, so training a neural surrogate based on normalizing flows model
SimBIG: Simulation-based inference of galaxies
Generate training data of galaxy observations
Train normalizing flow
Compare model’s predictions to real data
Use error to update model’s posterior
Survey: SDSS-III (https://www.sdss3.org/)
Used SimBIG to tighten estimates of key parameters, especially when using higher-order galaxy structure statistics based on relative locations of multiple nearby galaxies
1.9x tighter Sg parameter
1.5x tighter H0 parameter
Equivalent to collecting 4x more observational data
Future: additional data from galaxy surveys
Every decade we observe ~10x more galaxies
Dark Energy Spectroscopic Instrument (DESI): 4m Mayall telescope, 10b years of cosmic history
SuMIRe Prime Focus Spectrograph: 8.2m Subaru telescope, 12b years of cosmic history