{"paper":{"title":"Model-agnostic basis functions for the 2-point correlation function of dark matter in linear theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.LG"],"primary_cat":"astro-ph.CO","authors_text":"Aseem Paranjape (IUCAA), Ravi K. Sheth (UPenn/ICTP)","submitted_at":"2024-10-28T18:00:01Z","abstract_excerpt":"We consider approximating the linearly evolved 2-point correlation function (2pcf) of dark matter $\\xi_{\\rm lin}(r;\\boldsymbol{\\theta})$ in a cosmological model with parameters $\\boldsymbol{\\theta}$ as the linear combination $\\xi_{\\rm lin}(r;\\boldsymbol{\\theta})\\approx\\sum_i\\,b_i(r)\\,w_i(\\boldsymbol{\\theta})$, where the functions $\\mathcal{B}=\\{b_i(r)\\}$ form a $\\textit{model-agnostic basis}$ for the linear 2pcf. This decomposition is important for model-agnostic analyses of the baryon acoustic oscillation (BAO) feature in the nonlinear 2pcf of galaxies that fix $\\mathcal{B}$ and leave the coe"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2410.21374","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2410.21374/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}