data-driven simulation-based galaxy evolution

Yale galaxy lunch --- Nov 20, 2019

ChangHoon Hahn

arXiv:1809,01665
arXiv:1910.01644

everything we've learned so far from galaxy surveys

... in 30 sec

* about massive galaxies at z<2

galaxies broadly fall into two categories

star forming galaxies

late-type, disk-like, blue

quiescent galaxies

early-type, elliptical, red

PRIMUS

star-forming galaxies lie on the star-forming sequence

Hahn+(2019a)

overall decline in star formation over time

Lee+(2015)

fewer massive star-forming galaxies

more quiescent galaxies over time 

Moustakas+(2013)

PRIMUS

log (stellar mass)

quiescent fraction

SDSS z~0

PRIMUS z~0.9

state-of-the-art galaxy formation models roughly reproduce these relations

credit: Illustris TNG

simulations can produce the star-forming sequence (SFS)

Hahn+(2019a)

data-driven GMM-based method for identifying the
star-forming sequence

Hahn+(2019a)

out to high redshifts

Choi, CH+(in prep)

Choi, CH+(in prep)

*...don't worry about SC-SAM

they can also produce the SFS z evolution

can we make galaxy formation/evolution into an inference problem?

Isolated and Quenched collaboratory: framework for forward modeling observations

computational expensive*

*more on this later

... not easy to interpret

e.g. why do SFS in simulations differ by ~5x?

Hahn+(2019a)

same methods as Somerville & Davé (2015)

why we need data-driven methods

empirical models: ΛCDM + observed evolution of galaxies

credit: Wechsler & Tinker (2018)

computationally cheap

easy to interpret

Abramson+(2015, 2016)

their claim: loosely constrained log-normal SFH can reproduce SMF, SFS, etc. at z<6

they get stellar masses from the star formation histories but ...what about the stellar-to-halo mass relation?

credit: Alexie Leauthaud

 

for star forming central galaxies

the connection between star formation histories and stellar masses constrained by star forming sequence

the stellar-to-halo mass relation constrains the connection between stellar masses and halo mass

we can constrain star formation histories using the
star-forming sequence and stellar-to-halo mass relation!

star-forming centrals initialized using SMF and SFS at z~1

M* from subhalo-halo abundance matching to SMF
SFR from SFS with 0.3 dex scatter

once quenched always quenched

\log~{\rm SFR}(M_*, t) = \log~{\rm SFR}_{\rm SFS}(M_*, t) + \Delta \log~{\rm SFR}(t)

the connection between star formation histories and stellar masses constrained by star forming sequence

star-forming centrals in Illustris

 
\log~{\rm SFR}(M_*, t) = \log~{\rm SFR}_{\rm SFS}(M_*, t) + \Delta \log~{\rm SFR}(t)

star formation duty cycle: star formation histories that vary on tduty Gyr timescales

M_*(t) \propto \int\limits_{t_0}^{t}{\rm SFR}(M_*, t'){\rm d}t' + M_0

models that reproduce* SMF and SFS at z~0
but have different tduty

*using Approximate Bayesian Computation (more on this later!)

 

predict different scatter in SHMR

\sigma_{M_*|M_h}

scatter in SHMR at low Mh is sensitive to tduty (i.e. timescale of SF variability)

\sigma_{M_*|M_h=10^{12}M_\odot}

observations find a tight ~0.2 dex scatter in SHMR

\sigma_{M_*|M_h=10^{12}M_\odot}

we add galaxy assembly bias to our model:
star formation histories correlate with Mh history

\log~{\rm SFR}(M_*, t) = \log~{\rm SFR}_{\rm SFS}(M_*, t) + \Delta \log~{\rm SFR}(t)
\Delta \log~{\rm SFR}(t)
\Delta M_h(t) = M_h(t) - M_h(t-t_{\rm dyn})

similar to Rodríguez-Pubela+(2016), Behroozi+(2019)

 

correlated to

tighter scatter in SHMR for stronger galaxy assembly bias

scatter in SHMR sensitive to tduty and rassembly bias

r~0.6 from literature ... tduty < 0.2 Gyr ?

new constraints find larger SHMR >0.3dex scatter

also no consensus among simulations

tight constraint on tduty currently limited by tensions in both observations and simulations

DESI Bright Galaxy Survey

14,000 sq.deg
magnitude-limited to r~20
10 million galaxies

DESI first light!

<1% sky subtraction

the PRObabilistic Value-Added BGS
(PROVABGS)

10 million posteriors of galaxy properties from jointly fitting photometry+spectroscopy

DESI GQP Mock Challenge (MoCha) is currently underway to determine the PROVABGS analysis pipeline

w/ Malgorzata Siudek (IFAE Barcelona), James Kwon (UC Berkeley)

MCMC using speculator, a PCA neural network SPS emulator
percent-level accuracy and >1000x faster

Alsing...CH+(in prep)

galaxy formation models are computationally expensive

possible to make galaxy evolution into an inference problem with simulation-based inference

*also known as "likelihood-free" inference

x

θ

consider p(x,θ) for 1D data and 1D parameter

*probably an ideal situation

likelihood p(x|θ)

x

θ

*probably an ideal situation

xobs

posterior p(θ|xobs)

consider p(x,θ) for 1D data and 1D parameter

x

θ

xobs

naive approximate bayesian computation

wastes a lot of simulations ... there are smarter methods (e.g. ABC-PMC; Hahn+2017a,c,2019b)

x

θ

direct density estimation SBI can estimate posteriors much more efficiently (e.g. using ICA and GMM; Hahn+2019c)

only tip of the SBI iceberg!


Density Estimation LFI (Alsing+2019),

ABC with Conditional Density Estimation (Izbicki+2018),

Sequential Neural Posterior Estimation (Lueckmann+2019),

Bayesian Optimization LFI (Gutmann & Corannder 2016),
Inference Aware Neural Optimization (de Castro & Dorigo 2018)

...
 

the LFI Taskforce is developing new methods for SBI tailored to astronomy

logo credit: @danielhey

w/ Arin Avsar, Tess Werhane, James Zhu, Vanessa Boehm, Francois Lanusse, Jia Liu (Berkeley)
Virginia Ajani (CEA), Will Coulton (Cambridge), Chieh-An Lin (Edinburgh), Nesar Ramachandra (ANL)

empirical models are cheap and easy to interpret:
e.g. constraining SF variability timescale from SHMR (Hahn+2019c)

DESI Bright Galaxy Survey (PROVABGS) --- 10 million galaxies

hydro sims and SAMs are expensive and difficult to interpret
...plenty of room for improvement (Hahn+2019a)

e.g. tighter constraints on tduty, tquench (Hahn+2017c), assembly bias, hierarchical Bayesian modeling

SBI methods will enable direct inference from galaxy surveys

credit: desi.lbl.gov

IQ collaboratory, ABC, DELFI

yale2019

By ChangHoon Hahn

yale2019

talk on star forming central galaxies at Yale galaxy lunch Nov 20, 2019

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