{"paper":{"title":"Gibbs flow for approximate transport with applications to Bayesian computation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"stat.CO","authors_text":"Arnaud Doucet, Jeremy Heng, Yvo Pokern","submitted_at":"2015-09-29T14:59:01Z","abstract_excerpt":"Let $\\pi_{0}$ and $\\pi_{1}$ be two distributions on the Borel space $(\\mathbb{R}^{d},\\mathcal{B}(\\mathbb{R}^{d}))$. Any measurable function $T:\\mathbb{R}^{d}\\rightarrow\\mathbb{R}^{d}$ such that $Y=T(X)\\sim\\pi_{1}$ if $X\\sim\\pi_{0}$ is called a transport map from $\\pi_{0}$ to $\\pi_{1}$. For any $\\pi_{0}$ and $\\pi_{1}$, if one could obtain an analytical expression for a transport map from $\\pi_{0}$ to $\\pi_{1}$, then this could be straightforwardly applied to sample from any distribution. One would map draws from an easy-to-sample distribution $\\pi_{0}$ to the target distribution $\\pi_{1}$ using"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1509.08787","kind":"arxiv","version":3},"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/1509.08787/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"}