{"paper":{"title":"Thompson Sampling for Real-Valued Combinatorial Pure Exploration of Multi-Armed Bandit","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["stat.ML"],"primary_cat":"cs.LG","authors_text":"Masashi Sugiyama, Shintaro Nakamura","submitted_at":"2023-08-20T11:56:02Z","abstract_excerpt":"We study the real-valued combinatorial pure exploration of the multi-armed bandit (R-CPE-MAB) problem. In R-CPE-MAB, a player is given $d$ stochastic arms, and the reward of each arm $s\\in\\{1, \\ldots, d\\}$ follows an unknown distribution with mean $\\mu_s$. In each time step, a player pulls a single arm and observes its reward. The player's goal is to identify the optimal \\emph{action} $\\boldsymbol{\\pi}^{*} = \\argmax_{\\boldsymbol{\\pi} \\in \\mathcal{A}} \\boldsymbol{\\mu}^{\\top}\\boldsymbol{\\pi}$ from a finite-sized real-valued \\emph{action set} $\\mathcal{A}\\subset \\mathbb{R}^{d}$ with as few arm pu"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2308.10238","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/2308.10238/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"}