{"about":{"site":"https://codewithpapers.app","non_affiliation":"Code with Papers and Syntology are not affiliated with, endorsed by, or sponsored by Papers with Code, Meta, or the pwc-archive mirror.","licence":"CC BY-SA 4.0","licence_url":"https://creativecommons.org/licenses/by-sa/4.0/legalcode","attribution":"https://codewithpapers.app/attribution","modified":"archive material modified by Syntology; see the attribution page"},"url":"/paper/a-model-independent-reconstruction-of-the","title":"A model-independent reconstruction of the matter power spectrum","arxiv_id":"2411.07082","date":"2024-11-11","proceeding":null,"authors":["Gen Ye","Jun-Qian Jiang","Alessandra Silvestri"],"abstract":"We propose a new model-independent reconstruction method for the matter power spectrum based on its time dependence and a combination of observations from different redshifts. The method builds on a perturbative expansion in terms of the linear growth function, with each coefficient in the expansion being a free function of scale, to be reconstructed from the data. When using the linear growth function of a specific cosmological model, e.g. $\\Lambda$CDM, the reconstruction can serve as a consistency check for non-linear modeling in that given model, as well as a new method for detecting departures from the assumed model in the data. As an application, we show how using DES Y3 3x2pt and Planck PR4 CMB lensing data, assuming a $\\Lambda$CDM linear growth and first order expansion, the reconstructed matter power spectrum $P_{\\rm m}(k)$ is compatible with that computed from $\\Lambda$CDM and halo model. In particular, we show that the method reconstructs the non-linear part of $P_{\\rm m}(k)$ for $k\\gtrsim 1\\ \\rm{Mpc}^{-1}$ without the need of assuming a non-linear model.","url_abs":"https://arxiv.org/abs/2411.07082v1","url_pdf":"https://arxiv.org/pdf/2411.07082v1.pdf","source":{"archive":"pwc-archive (Hugging Face), CC BY-SA 4.0","snapshot":"2025-07-28","licence_url":"https://creativecommons.org/licenses/by-sa/4.0/legalcode","row_kind":"links_only","authors_date_abstract":"arXiv metadata, CC0 1.0 (https://info.arxiv.org/help/license), from the Kaggle arXiv metadata snapshot of 2026-09-12"},"code_links":[{"paper_slug":"a-model-independent-reconstruction-of-the","repo_url":"https://github.com/JiangJQ2000/cosmosis2cobaya","is_official":1,"mentioned_in_paper":0,"mentioned_in_github":1,"framework":"none","reach":null}],"tasks":[],"methods":[],"datasets_introduced":[],"methods_introduced":[],"results":[],"syntology":{"syntology_url":null,"atlas_url":null,"mcp":null,"developers":"https://syntology.ai/developers"},"arxiv_metadata":null,"syntology_extracted_results":null}