{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:D6CT3BCKZ5HJKX5542MTGC7UAY","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":"63f74a10365a37605b37d8c9f86279f70309d33ef565b8233d0c60b5bad84862","cross_cats_sorted":["stat.ML"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.OC","submitted_at":"2025-08-22T20:46:29Z","title_canon_sha256":"6e7754e8e43c97f94d7954233907ccc8a752faaa06f85398749fdab3d6e69258"},"schema_version":"1.0","source":{"id":"2508.16791","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2508.16791","created_at":"2026-07-05T11:58:03Z"},{"alias_kind":"arxiv_version","alias_value":"2508.16791v1","created_at":"2026-07-05T11:58:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2508.16791","created_at":"2026-07-05T11:58:03Z"},{"alias_kind":"pith_short_12","alias_value":"D6CT3BCKZ5HJ","created_at":"2026-07-05T11:58:03Z"},{"alias_kind":"pith_short_16","alias_value":"D6CT3BCKZ5HJKX55","created_at":"2026-07-05T11:58:03Z"},{"alias_kind":"pith_short_8","alias_value":"D6CT3BCK","created_at":"2026-07-05T11:58:03Z"}],"graph_snapshots":[{"event_id":"sha256:78d97deb8968b3236a346ee6a4d7bdea336847a5b4f70093064827e67d3ccb10","target":"graph","created_at":"2026-07-05T11:58:03Z","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/2508.16791/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We develop a novel optimistic gradient-type algorithmic framework, combining both Nesterov's acceleration and variance-reduction techniques, to solve a class of generalized equations involving possibly nonmonotone operators in data-driven applications. Our framework covers a wide class of stochastic variance-reduced schemes, including mini-batching, and control variate unbiased and biased estimators. We establish that our method achieves $\\mathcal{O}(1/k^2)$ convergence rates in expectation on the squared norm of residual under the Lipschitz continuity and a ``co-hypomonotonicity-type'' assump","authors_text":"Nghia Nguyen-Trung, Quoc Tran-Dinh","cross_cats":["stat.ML"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.OC","submitted_at":"2025-08-22T20:46:29Z","title":"VFOG: Variance-Reduced Fast Optimistic Gradient Methods for a Class of Nonmonotone Generalized Equations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2508.16791","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":"sha256:003ad6f913428b77d8572c70337557427fa7623111e3c08dd6068a3aa5e6d0e4","target":"record","created_at":"2026-07-05T11:58:03Z","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":"63f74a10365a37605b37d8c9f86279f70309d33ef565b8233d0c60b5bad84862","cross_cats_sorted":["stat.ML"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.OC","submitted_at":"2025-08-22T20:46:29Z","title_canon_sha256":"6e7754e8e43c97f94d7954233907ccc8a752faaa06f85398749fdab3d6e69258"},"schema_version":"1.0","source":{"id":"2508.16791","kind":"arxiv","version":1}},"canonical_sha256":"1f853d844acf4e955fbde699330bf40601dba03fe42a8b68834fedf45c83eca1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1f853d844acf4e955fbde699330bf40601dba03fe42a8b68834fedf45c83eca1","first_computed_at":"2026-07-05T11:58:03.653151Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:58:03.653151Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"JpSQcmfQl2yKpIURrCnv5Z5XrofmluDSAjMFfx0Ly4V1kIv7ksw5Pw+1tg5APAcqUdJDbN0QtCcjX1+w3zCkBw==","signature_status":"signed_v1","signed_at":"2026-07-05T11:58:03.653784Z","signed_message":"canonical_sha256_bytes"},"source_id":"2508.16791","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:003ad6f913428b77d8572c70337557427fa7623111e3c08dd6068a3aa5e6d0e4","sha256:78d97deb8968b3236a346ee6a4d7bdea336847a5b4f70093064827e67d3ccb10"],"state_sha256":"576bca9a9aab4c48412c4959a44d5edf9dc7537d4d87eabc1af61ee4ab192a21"}