{"ID":2845887,"CreatedAt":"2026-06-01T04:54:23.091178241Z","UpdatedAt":"2026-06-01T04:54:23.091178241Z","DeletedAt":null,"paper_url":"https://arxiv.org/abs/2511.03636","arxiv_id":"2511.03636","title":"Quantifying Weighted Morphological Content of Large-Scale Structures via Simulation-Based Inference","abstract":"We perform a simulation-based forecasting analysis to compare the cosmological constraining power of higher-order summary statistics of the large-scale structure, the Minkowski Functionals (MFs) and a class weighted morphological measure known as the Conditional Moments of Derivatives (CMD), with that of the redshift-space halo power spectrum multipoles (PS), with a particular focus on their sensitivity to nonlinear and anisotropic features in redshift space. Our analysis relies on halo catalogs from the Big Sobol Sequence simulations at redshift $z=0.5$, employing a likelihood-free inference framework implemented via neural posterior estimation. At the fiducial Quijote cosmology and for a Gaussian smoothing scale of $R=15\\,h^{-1}\\mathrm{Mpc}$, CMD provide systematically tighter constraints than MFs. Combining MFs and CMD into a joint estimator improves the precision by $27\\%^{+9\\%}_{-5\\%}$ for $σ_8$ and $26\\%^{+7\\%}_{-5\\%}$ for $Ω_{\\mathrm{m}}$ relative to MFs alone, highlighting the complementary anisotropy-sensitive information captured by the CMD in contrast to the scalar morphological content encapsulated by the MFs. We compare the combined statistic MFs+CMD with the PS at matched effective scales ($k_{\\max}\\simeq0.16\\,h\\,\\mathrm{Mpc^{-1}}$) under three halo-selection conditions: all halos, fixed number density, and mass-selected ($M\u003e3\\times10^{13}\\,h^{-1}M_\\odot$). In the mass-selected configuration, the (weighted) morphological estimator outperforms the power spectrum by $45\\%^{+20\\%}_{-9\\%}$ for $σ_8$ and $43\\%^{+10\\%}_{-7\\%}$ for $Ω_{\\mathrm{m}}$. We also extend the simulation-based forecast analysis across a continuous range of cosmological parameters and multiple smoothing scales for morphological measures.","short_abstract":"We perform a simulation-based forecasting analysis to compare the cosmological constraining power of higher-order summary statistics of the large-scale structure, the Minkowski Functionals (MFs) and a class weighted morphological measure known as the Conditional Moments of Derivatives (CMD), with that of the redshift-s...","url_abs":"https://arxiv.org/abs/2511.03636","url_pdf":"https://arxiv.org/pdf/2511.03636v2","authors":"[\"M. H. Jalali Kanafi\",\"S. M. S. Movahed\"]","published":"2025-11-05T16:54:17Z","proceeding":"astro-ph.CO","tasks":"[\"astro-ph.CO\",\"cs.LG\",\"physics.comp-ph\"]","methods":"[]","has_code":false}