Optimization of Tessellation-based Statistics: Void Statistics

arXiv:2606.21864 · astro-ph.CO, astro-ph.GA · Submitted 2026-06-20 · Read on arXiv

Yu Liu, Cheng Zhao, Yu Yu, Zhejie Ding, Jean-Paul Kneib

astro-ph.CO, astro-ph.GA

Submitted: 2026-06-20

Comments: 19 pages, 16 figures, 1 table

Code: https://github.com/cheng-zhao/DIVE

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

Terminology

• Clustering — 11× in this paper · explained in 2 episodes
• Core — 4× in this paper · explained in 2 episodes
• Robustness — 3× in this paper · explained in 5 episodes
• Trace — 3× in this paper · explained in 2 episodes
• Abundance — 2× in this paper · explained in 1 episode
• Anisotropy — 2× in this paper · explained in 3 episodes
• Voronoi Tessellation Field Estimator — 2× in this paper
• Anti-correlation — 1× in this paper · explained in 3 episodes
• Calibration — 1× in this paper · explained in 7 episodes
• Delaunay Triangulation — 1× in this paper
• Forward modeling — 1× in this paper · explained in 2 episodes
• Matter Power Spectrum — 1× in this paper · explained in 2 episodes
• Sparsity — 1× in this paper · explained in 4 episodes
• Triangular-Shaped Cloud — 1× in this paper

Sources

• The Spectroscopic Stage-5 Experiment
• A Parameter-Masked Mock Data Challenge for Beyond-Two-Point Galaxy Clustering Statistics
• Cosmology with Cosmic Voids
• Snowmass Cosmic Frontier Report
• The era of precision cosmology with voids
• The DESI Experiment Part I: Science,Targeting, and Survey Design
• Stabilizing simulation-based cosmological Fisher forecasts: a case study using the Voronoi volume function
• Cosmology with the SPHEREX All-Sky Spectral Survey
• Euclid. I. Overview of the Euclid mission
• VEGA: Voids idEntification using Genetic Algorithm
• Modeling cosmic void statistics
• The Wide-field Spectroscopic Telescope (WST) Science White Paper
• Cosmology with the MaunaKea Spectroscopic Explorer
• A First Detection of the Connected 4-Point Correlation Function of Galaxies Using the BOSS CMASS Sample
• Multiprobe cosmology forecasts from halo-occupation-distribution-based forward modeling of galaxy and void statistics
• A Spectroscopic Road Map for Cosmic Frontier: DESI, DESI-II, Stage-5
• Why Cosmic Voids Matter: Pristine Evolution
• Cosmological Constraints using the Void Size Function Data from BOSS DR16
• Wide-Field InfrarRed Survey Telescope-Astrophysics Focused Telescope Assets WFIRST-AFTA 2015 Report
• MUltiplexed Survey Telescope (MUST) Science White Paper I: Overview of Large-Scale Structure Cosmology in the Era of Stage-V Spectroscopic Surveys

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