{"paper":{"title":"Success probability of the Babai estimators for box-constrained integer linear models","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Jinming Wen, Xiao-Wen Chang","submitted_at":"2014-10-19T05:30:47Z","abstract_excerpt":"In many applications including communications, one may encounter a linear model where the parameter vector $\\hbx$ is an integer vector in a box. To estimate $\\hbx$, a typical method is to solve a box-constrained integer least squares (BILS) problem. However, due to its high complexity, the box-constrained Babai integer point $\\x^\\sBB$ is commonly used as a suboptimal solution. In this paper, we first derive formulas for the success probability $P^\\sBB$ of $\\x^\\sBB$ and the success probability $P^\\sOB$ of the ordinary Babai integer point $\\x^\\sOB$ when $\\hbx$ is uniformly distributed over the c"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1410.5040","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":""},"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"}