Comparing next-generation detector configurations for high-redshift gravitational wave sources with neural posterior estimation

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Volume 708 (April 2026)

A&A, 708 (2026) A175

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Table D.1.

Injected parameters (θ^inj) of the event shown in Fig. 2, along with the median JSD (⟨JSD⟩, in units of 10⁻⁴ nat), which quantifies the deviation between DINGO-IS and BILBY for one-dimensional marginal posteriors.

		2L MisA			2L MisA + CE
Parameters	θ^inj	⟨JSD⟩	JSD^thr	θ	⟨JSD⟩	JSD^thr	θ
ℳ_d/M_⊙	749	1.8	4.7	$757_{- 7}^{+ 7}$ $Mathematical equation: $ {757}_{-7}^{+7} $$	2.9	5.5	$751_{- 3}^{+ 3}$ $Mathematical equation: $ {751}_{-3}^{+3} $$
q	0.73	1.0	5.0	${0.75}_{- 0.02}^{+ 0.02}$ $Mathematical equation: $ {0.75}_{-0.02}^{+0.02} $$	2.0	4.7	${0.73}_{- 0.01}^{+ 0.01}$ $Mathematical equation: $ {0.73}_{-0.01}^{+0.01} $$
D_L/Gpc	13.8	1.7	4.9	$18_{- 5}^{+ 1}$ $Mathematical equation: $ {18}_{-5}^{+1} $$	2.2	4	${13.7}_{- 0.3}^{+ 0.3}$ $Mathematical equation: $ {13.7}_{-0.3}^{+0.3} $$
ra/rad	4.60	1.7	7.3	${2.40}_{- 0.15}^{+ 2.25}$ $Mathematical equation: $ {2.40}_{-0.15}^{+2.25} $$	0.0	0.0	${4.60}_{- 0.01}^{+ 0.01}$ $Mathematical equation: $ {4.60}_{-0.01}^{+0.01} $$
dec/rad	−0.40	1.8	5.6	${0.16}_{- 0.56}^{+ 0.12}$ $Mathematical equation: $ {0.16}_{-0.56}^{+0.12} $$	0.0	0.1	${- 0.40}_{- 0.01}^{+ 0.01}$ $Mathematical equation: $ {-0.40}_{-0.01}^{+0.01} $$
θ_jn/rad	1.06	0.4	2.0	${2.04}_{- 0.98}^{+ 0.05}$ $Mathematical equation: $ {2.04}_{-0.98}^{+0.05} $$	0.1	0.8	${1.07}_{- 0.01}^{+ 0.01}$ $Mathematical equation: $ {1.07}_{-0.01}^{+0.01} $$
ϕ_c/rad	0.09	0.5	2.1	${0.11}_{- 0.10}^{+ 6.17}$ $Mathematical equation: $ {0.11}_{-0.10}^{+6.17} $$	7.6	3.3	${0.08}_{- 0.06}^{+ 0.08}$ $Mathematical equation: $ {0.08}_{-0.06}^{+0.08} $$
ψ/rad	2.14	2.3	7.8	${1.62}_{- 0.10}^{+ 0.54}$ $Mathematical equation: $ {1.62}_{-0.10}^{+0.54} $$	0.0	0.7	${2.13}_{- 0.01}^{+ 0.01}$ $Mathematical equation: $ {2.13}_{-0.01}^{+0.01} $$
t_geocent/s	0.056	1.6	5.2	${0.082}_{- 0.029}^{+ 0.003}$ $Mathematical equation: $ {0.082}_{-0.029}^{+0.003} $$	2.9	6.6	${0.056}_{- 0.001}^{+ 0.001}$ $Mathematical equation: $ {0.056}_{-0.001}^{+0.001} $$
χ₁	0.35	0.7	2.6	${0.36}_{- 0.07}^{+ 0.07}$ $Mathematical equation: $ {0.36}_{-0.07}^{+0.07} $$	2.3	3.9	${0.36}_{- 0.04}^{+ 0.04}$ $Mathematical equation: $ {0.36}_{-0.04}^{+0.04} $$
χ₂	0.20	1.1	3.6	${0.22}_{- 0.10}^{+ 0.08}$ $Mathematical equation: $ {0.22}_{-0.10}^{+0.08} $$	2.4	6.6	${0.21}_{- 0.06}^{+ 0.06}$ $Mathematical equation: $ {0.21}_{-0.06}^{+0.06} $$

ρ				232			331
m_1, s/M_⊙	364.2			$317_{- 8}^{+ 66}$ $Mathematical equation: $ {317}_{-8}^{+66} $$			$366_{- 3}^{+ 3}$ $Mathematical equation: $ {366}_{-3}^{+3} $$
m_2, s/M_⊙	265.2			$236_{- 6}^{+ 49}$ $Mathematical equation: $ {236}_{-6}^{+49} $$			$267_{- 3}^{+ 3}$ $Mathematical equation: $ {267}_{-3}^{+3} $$
z	1.8			${2.18}_{- 0.54}^{+ 0.09}$ $Mathematical equation: $ {2.18}_{-0.54}^{+0.09} $$			${1.77}_{- 0.03}^{+ 0.03}$ $Mathematical equation: $ {1.77}_{-0.03}^{+0.03} $$
ΔΩ_90%/deg²				235			1
${Δ V}_{90 %}^{c}$ $Mathematical equation: $ {\Delta V}^{c}_{90\%} $$ /Mpc³				4.1 × 10⁸			7.2 × 10⁵

Sample efficiency/%				16			10
DINGO-IS log 𝒵(d)±σ				−4046.006 ± 0.007			−6180.05 ± 0.01
BILBY log 𝒵(d)±σ				−4046.29 ± 0.07			−6179.26 ± 0.07
Computing time/hours				51.5			8.8

Notes. For reference, the corresponding JSD threshold (JSD^thr, in units of 10⁻⁴ nat) is also shown. The median and 90% credible interval of the recovered parameters θ with DINGO-IS are reported for two different detector configurations: 2L MisA and 2L MisA + CE. The bottom rows display the optimal S/N (ρ, Eq. D.4), source-frame primary (m_1, s) and secondary (m_2, s) masses, redshift (z), sky and comoving volume localization error (ΔΩ_90% and ΔV_90%^c), sample efficiency (Eq. 2), log evidence and its uncertainty computed with DINGO-IS (Eq. D.5) and BILBY, and computing time in BILBY obtained using npool = 8 parallel processes. See Appendix D for details.

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