Field-level vs summaries: convergence of information in non-Gaussian density fields

arXiv:2606.18227 · astro-ph.CO · Submitted 2026-06-16 · Read on arXiv

Ivana Nikolac, Fabian Schmidt, Beatriz Tucci

astro-ph.CO

Submitted: 2026-06-16

Comments: 34 pages, 12 figures; comments are welcome

License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/

Terminology

• Bispectrum — 37× in this paper · explained in 3 episodes
• Degeneracy — 15× in this paper · explained in 3 episodes
• Simulation-based Inference — 10× in this paper · explained in 2 episodes
• Clustering — 6× in this paper · explained in 2 episodes
• Fisher Information — 6× in this paper · explained in 3 episodes
• Information Gain — 4× in this paper · explained in 2 episodes
• Simulation-Based Inference (SBI) — 4× in this paper · explained in 3 episodes
• Masked Autoregressive Flow — 3× in this paper
• Adam — 2× in this paper · explained in 2 episodes
• Consistency — 2× in this paper · explained in 3 episodes
• Non-Gaussianity — 2× in this paper · explained in 2 episodes
• Normalizing Flow — 2× in this paper · explained in 3 episodes
• Trace — 2× in this paper · explained in 2 episodes
• Bayesian Inference — 1× in this paper · explained in 5 episodes
• Forward modeling — 1× in this paper · explained in 2 episodes
• Generalization — 1× in this paper · explained in 13 episodes
• Higher-order statistics — 1× in this paper · explained in 2 episodes
• Matter Power Spectrum — 1× in this paper · explained in 2 episodes
• Neural posterior estimation (NPE) — 1× in this paper · explained in 2 episodes
• Normalizing Flows — 1× in this paper · explained in 4 episodes

Sources

• The BOSS bispectrum analysis at one loop from the Effective Field Theory of Large-Scale Structure
• One-Loop Galaxy Bispectrum: Consistent Theory, Efficient Analysis with COBRA, and Implications for Cosmological Parameters
• Reanalyzing DESI DR1: 1. $\Lambda$CDM Constraints from the Power Spectrum and Bispectrum
• How much information can be extracted from galaxy clustering at the field level?
• Large-Scale Galaxy Bias
• The Galaxy Power Spectrum and Bispectrum in Redshift Space
• Precision analysis of the redshift-space galaxy bispectrum
• Cosmology with the Galaxy Bispectrum Multipoles: Optimal Estimation and Application to BOSS Data
• The BOSS DR12 Full-Shape Cosmology: $\Lambda$CDM Constraints from the Large-Scale Galaxy Power Spectrum and Bispectrum Monopole
• Cosmology with the Redshift-Space Galaxy Bispectrum Monopole at One-Loop Order
• Cosmology inference with perturbative forward modeling at the field level: a comparison with joint power spectrum and bispectrum analyses
• On the Relation Between Field-Level Posteriors, Correlators, and their Likelihoods
• Automatic Posterior Transformation for Likelihood-Free Inference
• Masked Autoregressive Flow for Density Estimation
• Galaxy Skew-Spectra in Redshift-Space
• An $n$-th order Lagrangian Forward Model for Large-Scale Structure
• SBI -- A toolkit for simulation-based inference
• Bayesian field-level inference of primordial non-Gaussianity using next-generation galaxy surveys
• Cosmological Information in Perturbative Forward Modeling
• On the Connection between Field-Level Inference and $n$-point Correlation Functions

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