{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:2NBZFVORYV42L2OCDCUPPFEIS3","short_pith_number":"pith:2NBZFVOR","schema_version":"1.0","canonical_sha256":"d34392d5d1c579a5e9c218a8f7948896e27e554d2610d47d63d838c36f7c306c","source":{"kind":"arxiv","id":"1810.10895","version":2},"attestation_state":"computed","paper":{"title":"Almost Optimal Algorithms for Linear Stochastic Bandits with Heavy-Tailed Payoffs","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["stat.ML"],"primary_cat":"cs.LG","authors_text":"Han Shao, Irwin King, Michael R. Lyu, Xiaotian Yu","submitted_at":"2018-10-25T14:29:02Z","abstract_excerpt":"In linear stochastic bandits, it is commonly assumed that payoffs are with sub-Gaussian noises. In this paper, under a weaker assumption on noises, we study the problem of \\underline{lin}ear stochastic {\\underline b}andits with h{\\underline e}avy-{\\underline t}ailed payoffs (LinBET), where the distributions have finite moments of order $1+\\epsilon$, for some $\\epsilon\\in (0,1]$. We rigorously analyze the regret lower bound of LinBET as $\\Omega(T^{\\frac{1}{1+\\epsilon}})$, implying that finite moments of order 2 (i.e., finite variances) yield the bound of $\\Omega(\\sqrt{T})$, with $T$ being the t"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1810.10895","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2018-10-25T14:29:02Z","cross_cats_sorted":["stat.ML"],"title_canon_sha256":"1280339d8bbe76c1040573ec2dff03141180ee6ef3780f96684258d2ea33b4f5","abstract_canon_sha256":"a58c06e5584677379336e062c55b00e84a94a5dac101ccd7a49fe186599e1a16"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:01:06.610493Z","signature_b64":"3iLAbtxPxpwuIB6bIsQs+x7ldDm+GUYJnZWlSLBTUn81vTghuolyVab7lNLn4Ck23PRriSP9xr4yguAvsGGYAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d34392d5d1c579a5e9c218a8f7948896e27e554d2610d47d63d838c36f7c306c","last_reissued_at":"2026-05-18T00:01:06.610055Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:01:06.610055Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Almost Optimal Algorithms for Linear Stochastic Bandits with Heavy-Tailed Payoffs","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["stat.ML"],"primary_cat":"cs.LG","authors_text":"Han Shao, Irwin King, Michael R. Lyu, Xiaotian Yu","submitted_at":"2018-10-25T14:29:02Z","abstract_excerpt":"In linear stochastic bandits, it is commonly assumed that payoffs are with sub-Gaussian noises. In this paper, under a weaker assumption on noises, we study the problem of \\underline{lin}ear stochastic {\\underline b}andits with h{\\underline e}avy-{\\underline t}ailed payoffs (LinBET), where the distributions have finite moments of order $1+\\epsilon$, for some $\\epsilon\\in (0,1]$. We rigorously analyze the regret lower bound of LinBET as $\\Omega(T^{\\frac{1}{1+\\epsilon}})$, implying that finite moments of order 2 (i.e., finite variances) yield the bound of $\\Omega(\\sqrt{T})$, with $T$ being the t"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1810.10895","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1810.10895","created_at":"2026-05-18T00:01:06.610120+00:00"},{"alias_kind":"arxiv_version","alias_value":"1810.10895v2","created_at":"2026-05-18T00:01:06.610120+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1810.10895","created_at":"2026-05-18T00:01:06.610120+00:00"},{"alias_kind":"pith_short_12","alias_value":"2NBZFVORYV42","created_at":"2026-05-18T12:32:02.567920+00:00"},{"alias_kind":"pith_short_16","alias_value":"2NBZFVORYV42L2OC","created_at":"2026-05-18T12:32:02.567920+00:00"},{"alias_kind":"pith_short_8","alias_value":"2NBZFVOR","created_at":"2026-05-18T12:32:02.567920+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/2NBZFVORYV42L2OCDCUPPFEIS3","json":"https://pith.science/pith/2NBZFVORYV42L2OCDCUPPFEIS3.json","graph_json":"https://pith.science/api/pith-number/2NBZFVORYV42L2OCDCUPPFEIS3/graph.json","events_json":"https://pith.science/api/pith-number/2NBZFVORYV42L2OCDCUPPFEIS3/events.json","paper":"https://pith.science/paper/2NBZFVOR"},"agent_actions":{"view_html":"https://pith.science/pith/2NBZFVORYV42L2OCDCUPPFEIS3","download_json":"https://pith.science/pith/2NBZFVORYV42L2OCDCUPPFEIS3.json","view_paper":"https://pith.science/paper/2NBZFVOR","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1810.10895&json=true","fetch_graph":"https://pith.science/api/pith-number/2NBZFVORYV42L2OCDCUPPFEIS3/graph.json","fetch_events":"https://pith.science/api/pith-number/2NBZFVORYV42L2OCDCUPPFEIS3/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/2NBZFVORYV42L2OCDCUPPFEIS3/action/timestamp_anchor","attest_storage":"https://pith.science/pith/2NBZFVORYV42L2OCDCUPPFEIS3/action/storage_attestation","attest_author":"https://pith.science/pith/2NBZFVORYV42L2OCDCUPPFEIS3/action/author_attestation","sign_citation":"https://pith.science/pith/2NBZFVORYV42L2OCDCUPPFEIS3/action/citation_signature","submit_replication":"https://pith.science/pith/2NBZFVORYV42L2OCDCUPPFEIS3/action/replication_record"}},"created_at":"2026-05-18T00:01:06.610120+00:00","updated_at":"2026-05-18T00:01:06.610120+00:00"}