Differentiable fuzzy cosmic web for field-level inference

Open Access

Table 1.

Setting the different numerical cases.

	`TEST1`	`TEST2`	`TEST3`
ΔL [h⁻¹ Mpc]	10	5	8
L [h⁻¹ Mpc]	1280	640	1024
k_nyq [h Mpc⁻¹]	0.31	0.63	0.39
$k_{nyq}^{non - iso}$ $Mathematical equation: $ k^{\mathrm{non-iso}}_{\mathrm{nyq}} $$ [h Mpc⁻¹]	0.54	1.10	0.68
Non-local bias	Φ-web_j	Φ-web_j	Φδ-web_jk
Local bias	{α_j, β_j}	{α_j, β_j}	{α_jk, β_jk, ϵ_jk, ρ_jk}

Notes. In all cases, we used a mesh of 128³ voxels with cubical volumes of distinct side lengths, L, and resolutions, ΔL = L/N. We consider the Nyquist frequency k_nyq = π/ΔL and the non-isotropic Nyquist frequency $k_{nyq}^{non - iso} = \sqrt{3} k_{nyq}$ $Mathematical equation: $ k^{\mathrm{non-iso}}_{\mathrm{nyq}}=\sqrt{3} \,k_{\mathrm{nyq}} $$ of a cubical Fourier-space mesh. The output redshift is z = 0. There are 16 combinations of Φ- and δ-web regions: j, k ∈ [1, 2, 3, 4].

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