KiDS-SBI: Simulation-based inference analysis of KiDS-1000 cosmic shear

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Volume 694 (February 2025)

A&A, 694 (2025) A223

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Table F.1.

All inferred cosmological and astrophysical parameters varied within the anisotropic systematics and the standard isotropic systematics models from the KiDS-1000 gold sample.

	SBI: anisotropic sys.		SBI: std. isotropic sys.		MCMC: anisotropic sys.		MCMC: std. isotropic sys.

	Marginal	MAP	Marginal	MAP	Marginal	MAP	Marginal	MAP
	±1σ	±PJ-HPD	±1σ	±PJ-HPD	±1σ	±PJ-HPD	±1σ	±PJ-HPD
S₈	0.731 ± 0.033	$0 . 743_{- 0.051}^{+ 0.015}$ $0.743^{+0.015}_{-0.051}$	$0 . 772_{- 0.032}^{+ 0.038}$ $0.772^{+0.038}_{-0.032}$	$0 . 780_{- 0.048}^{+ 0.020}$ $0.780^{+0.020}_{-0.048}$	$0 . 725_{- 0.023}^{+ 0.034}$ $0.725^{+0.034}_{-0.023}$	$0 . 731_{- 0.033}^{+ 0.023}$ $0.731^{+0.023}_{-0.033}$	$0 . 764_{- 0.025}^{+ 0.031}$ $0.764^{+0.031}_{-0.025}$	0.770 ± 0.029
σ₈	$0 . 73_{- 0.21}^{+ 0.10}$ $0.73^{+0.10}_{-0.21}$	$0 . 72_{- 0.20}^{+ 0.09}$ $0.72^{+0.09}_{-0.20}$	$0 . 78_{- 0.23}^{+ 0.12}$ $0.78^{+0.12}_{-0.23}$	$0 . 73_{- 0.20}^{+ 0.12}$ $0.73^{+0.12}_{-0.20}$	$0 . 75_{- 0.18}^{+ 0.12}$ $0.75^{+0.12}_{-0.18}$	$0 . 72_{- 0.11}^{+ 0.19}$ $0.72^{+0.19}_{-0.11}$	$0 . 76_{- 0.14}^{+ 0.11}$ $0.76^{+0.11}_{-0.14}$	$0 . 74_{- 0.11}^{+ 0.14}$ $0.74^{+0.14}_{-0.11}$
Ω_m	$0 . 337_{- 0.150}^{+ 0.097}$ $0.337^{+0.097}_{-0.150}$	$0 . 323_{- 0.060}^{+ 0.220}$ $0.323^{+0.220}_{-0.060}$	$0 . 333_{- 0.160}^{+ 0.093}$ $0.333^{+0.093}_{-0.160}$	$0 . 345_{- 0.083}^{+ 0.216}$ $0.345^{+0.216}_{-0.083}$	$0 . 311_{- 0.130}^{+ 0.072}$ $0.311^{+0.072}_{-0.130}$	$0 . 310_{- 0.108}^{+ 0.078}$ $0.310^{+0.078}_{-0.108}$	$0 . 324_{- 0.110}^{+ 0.068}$ $0.324^{+0.068}_{-0.110}$	$0 . 323_{- 0.086}^{+ 0.110}$ $0.323^{+0.110}_{-0.086}$
h₀	$0 . 736_{- 0.044}^{+ 0.083}$ $0.736^{+0.083}_{-0.044}$	$0 . 669_{- 0.026}^{+ 0.085}$ $0.669^{+0.085}_{-0.026}$	$0 . 726_{- 0.084}^{+ 0.043}$ $0.726^{+0.043}_{-0.084}$	$0 . 640_{- 0.001}^{+ 0.11}$ $0.640^{+0.11}_{-0.001}$	—	$0 . 674_{- 0.005}^{+ 0.066}$ $0.674^{+0.066}_{-0.005}$	—	$0 . 673_{- 0.022}^{+ 0.071}$ $0.673^{+0.071}_{-0.022}$
ω_c	$0 . 158_{- 0.045}^{+ 0.084}$ $0.158^{+0.084}_{-0.045}$	$0 . 125_{- 0.023}^{+ 0.095}$ $0.125^{+0.095}_{-0.023}$	$0 . 151_{- 0.089}^{+ 0.061}$ $0.151^{+0.061}_{-0.089}$	$0 . 122_{- 0.027}^{+ 0.091}$ $0.122^{+0.091}_{-0.027}$	$0 . 143_{- 0.073}^{+ 0.040}$ $0.143^{+0.040}_{-0.073}$	$0 . 118_{- 0.034}^{+ 0.069}$ $0.118^{+0.069}_{-0.034}$	$0 . 147_{- 0.057}^{+ 0.039}$ $0.147^{+0.039}_{-0.057}$	$0 . 123_{- 0.021}^{+ 0.077}$ $0.123^{+0.077}_{-0.021}$
ω_b	$0 . 0224_{- 0.0033}^{+ 0.0022}$ $0.0224^{+0.0022}_{-0.0033}$	$0 . 0190_{- 0.0001}^{+ 0.004}$ $0.0190^{+0.004}_{-0.0001}$	0.0225 ± 0.0020	$0 . 0190_{- 0.0001}^{+ 0.0046}$ $0.0190^{+0.0046}_{-0.0001}$	—	$0 . 0222_{- 0.0012}^{+ 0.0016}$ $0.0222^{+0.0016}_{-0.0012}$	—	0.0225 ± 0.0019
n_s	$0 . 987_{- 0.039}^{+ 0.110}$ $0.987^{+0.110}_{-0.039}$	$0 . 972_{- 0.132}^{+ 0.128}$ $0.972^{+0.128}_{-0.132}$	$0 . 961_{- 0.120}^{+ 0.054}$ $0.961^{+0.054}_{-0.120}$	$0 . 949_{- 0.109}^{+ 0.151}$ $0.949_{-0.109}^{+0.151}$	—	$0 . 988_{- 0.105}^{+ 0.045}$ $0.988^{+0.045}_{-0.105}$	$0 . 958_{- 0.110}^{+ 0.042}$ $0.958^{+0.042}_{-0.110}$	$0 . 956_{- 0.108}^{+ 0.046}$ $0.956^{+0.046}_{-0.108}$

A_IA	$0 . 60_{- 0.32}^{+ 0.42}$ $0.60^{+0.42}_{-0.32}$	$0 . 63_{- 0.40}^{+ 0.36}$ $0.63^{+0.36}_{-0.40}$	$0 . 61_{- 0.30}^{+ 0.38}$ $0.61^{+0.38}_{-0.30}$	$0 . 57_{- 0.29}^{+ 0.39}$ $0.57^{+0.39}_{-0.29}$	$0 . 59_{- 0.36}^{+ 0.48}$ $0.59^{+0.48}_{-0.36}$	$0 . 73_{- 0.45}^{+ 0.35}$ $0.73^{+0.35}_{-0.45}$	$0 . 64_{- 0.34}^{+ 0.42}$ $0.64^{+0.42}_{-0.34}$	$0 . 73_{- 0.43}^{+ 0.32}$ $0.73^{+0.32}_{-0.43}$
A_bary	$2 . 60_{- 0.20}^{+ 0.52}$ $2.60^{+0.52}_{-0.20}$	$2 . 66_{- 0.66}^{+ 0.47}$ $2.66_{-0.66}^{+0.47}$	$2 . 50_{- 0.49}^{+ 0.23}$ $2.50^{+0.23}_{-0.49}$	$2 . 00_{- 0.001}^{+ 1.13}$ $2.00^{+1.13}_{-0.001}$	> 2.45	$3 . 02_{- 0.70}^{+ 0.09}$ $3.02^{+0.09}_{-0.70}$	> 2.48	$3 . 13_{- 0.66}^{+ 0.001}$ $3.13^{+0.001}_{-0.66}$

Notes. The columns marked with SBI show the constraint obtained from the KiDS-SBI analaysis, while the columns marked with MCMC represent the parameter constraints obtained from a standard MCMC analysis which assumes a Gaussian likelihood with a sample covariance matrix derived from the respective forward model. The second, fourth, sixth and seventh columns show the mean marginals as well as the upper and lower 68% confidence intervals, i.e. 1σ, of the marginals. The third and fifth columns show the maximum a posteriori (MAP), and the uncertainties are defined as the upper and lower 68% confidence intervals, i.e. 1σ, given by the projected joint highest posterior density, PJ-HPD (Robert 2007; Joachimi et al. 2021).

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