{"paper":{"title":"Uniform-in-time propagation of chaos for Second-Order Consensus-Based Optimization","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AP","math.OC"],"primary_cat":"math.PR","authors_text":"Dohyeon Kim, Franca Hoffmann, Seung-Yeal Ha","submitted_at":"2026-05-20T04:50:40Z","abstract_excerpt":"We study second-order Consensus-Based Optimization (CBO), a derivative-free global optimization algorithm in which both the consensus drift and the multiplicative exploratory noise act on the particle velocities. We establish the first quantitative uniform-in-time propagation of chaos results for the second-order CBO dynamics, together with an almost uniform-in-time stability estimate for the microscopic particle system. The main difficulty is that in the second-order model, both the consensus mechanism and the stochastic forcing act only on the velocity variable, while the position evolves vi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.20697","kind":"arxiv","version":1},"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/2605.20697/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"}