{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:UTPQOW464IHZD2FEV66ZGGRG2B","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"080b8d52d5761a36e7e691a4ce3a3108eead28ec6c00415a84f25e0f979795c2","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.OC","submitted_at":"2023-10-29T03:13:45Z","title_canon_sha256":"327009eb36f7974f95cc5fb049374a2be1bab46c6b2edd97ecafbeaca6a9f52d"},"schema_version":"1.0","source":{"id":"2310.18883","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2310.18883","created_at":"2026-07-05T07:06:42Z"},{"alias_kind":"arxiv_version","alias_value":"2310.18883v1","created_at":"2026-07-05T07:06:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2310.18883","created_at":"2026-07-05T07:06:42Z"},{"alias_kind":"pith_short_12","alias_value":"UTPQOW464IHZ","created_at":"2026-07-05T07:06:42Z"},{"alias_kind":"pith_short_16","alias_value":"UTPQOW464IHZD2FE","created_at":"2026-07-05T07:06:42Z"},{"alias_kind":"pith_short_8","alias_value":"UTPQOW46","created_at":"2026-07-05T07:06:42Z"}],"graph_snapshots":[{"event_id":"sha256:b28a9f2a0b56c6622d3e4105394d85e2c909de9ca92335a876418c582461bc81","target":"graph","created_at":"2026-07-05T07:06:42Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2310.18883/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this paper, we consider a distributed stochastic non-convex optimization problem, which is about minimizing a sum of $n$ local cost functions over a network with only zeroth-order information. A novel single-loop Decentralized Zeroth-Order Variance Reduction algorithm, called DZOVR, is proposed, which combines two-point gradient estimation, momentum-based variance reduction technique, and gradient tracking. Under mild assumptions, we show that the algorithm is able to achieve $\\mathcal{O}(dn^{-1}\\epsilon^{-3})$ sampling complexity at each node to reach an $\\epsilon$-accurate stationary poin","authors_text":"Hongxu Chen, Jinchi Chen, Ke Wei","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.OC","submitted_at":"2023-10-29T03:13:45Z","title":"A Zeroth-Order Variance-Reduced Method for Decentralized Stochastic Non-convex Optimization"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2310.18883","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:1f2b2d1f6e3e180a1820d08f371e54f888a838af2cfe1d217cb7051d62148862","target":"record","created_at":"2026-07-05T07:06:42Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"080b8d52d5761a36e7e691a4ce3a3108eead28ec6c00415a84f25e0f979795c2","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.OC","submitted_at":"2023-10-29T03:13:45Z","title_canon_sha256":"327009eb36f7974f95cc5fb049374a2be1bab46c6b2edd97ecafbeaca6a9f52d"},"schema_version":"1.0","source":{"id":"2310.18883","kind":"arxiv","version":1}},"canonical_sha256":"a4df075b9ee20f91e8a4afbd931a26d0642f576c8446838ce7cf3a7859a89893","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a4df075b9ee20f91e8a4afbd931a26d0642f576c8446838ce7cf3a7859a89893","first_computed_at":"2026-07-05T07:06:42.845078Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T07:06:42.845078Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"aC/zurB+Go+laXdEFn2Tau1G4kEb6vBqZsfpKLm1t0mdaNfvylDtHcrj19hdLPvRbBSibcDQdrJQuMcDKGH+AQ==","signature_status":"signed_v1","signed_at":"2026-07-05T07:06:42.845613Z","signed_message":"canonical_sha256_bytes"},"source_id":"2310.18883","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1f2b2d1f6e3e180a1820d08f371e54f888a838af2cfe1d217cb7051d62148862","sha256:b28a9f2a0b56c6622d3e4105394d85e2c909de9ca92335a876418c582461bc81"],"state_sha256":"d0199bbc5c3e79b1399e819bb21f06e8da5e7f8672de89e5d0d979788d6abcec"}