{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:3UPPGLSCSTEXK6XENDXNUKMZIS","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":"552620dc048a131c5cccf0b683671241081251d9219c041430d566f6f3e3e130","cross_cats_sorted":["cs.LG","stat.ML"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2024-10-03T16:08:16Z","title_canon_sha256":"249387ff3b27f4d78f54b4bf3026c6e57287f888a85663e6a11eca39c858d3d9"},"schema_version":"1.0","source":{"id":"2410.02626","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2410.02626","created_at":"2026-07-05T09:15:23Z"},{"alias_kind":"arxiv_version","alias_value":"2410.02626v1","created_at":"2026-07-05T09:15:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2410.02626","created_at":"2026-07-05T09:15:23Z"},{"alias_kind":"pith_short_12","alias_value":"3UPPGLSCSTEX","created_at":"2026-07-05T09:15:23Z"},{"alias_kind":"pith_short_16","alias_value":"3UPPGLSCSTEXK6XE","created_at":"2026-07-05T09:15:23Z"},{"alias_kind":"pith_short_8","alias_value":"3UPPGLSC","created_at":"2026-07-05T09:15:23Z"}],"graph_snapshots":[{"event_id":"sha256:81b64fbe736d36e0d9a7c6bbdb69674d7146c8e5a303c8819a5313390f3e25a5","target":"graph","created_at":"2026-07-05T09:15:23Z","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/2410.02626/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this paper, we propose a quasi-Newton method for solving smooth and monotone nonlinear equations, including unconstrained minimization and minimax optimization as special cases. For the strongly monotone setting, we establish two global convergence bounds: (i) a linear convergence rate that matches the rate of the celebrated extragradient method, and (ii) an explicit global superlinear convergence rate that provably surpasses the linear convergence rate after at most ${O}(d)$ iterations, where $d$ is the problem's dimension. In addition, for the case where the operator is only monotone, we ","authors_text":"Aryan Mokhtari, Ruichen Jiang","cross_cats":["cs.LG","stat.ML"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2024-10-03T16:08:16Z","title":"Online Learning Guided Quasi-Newton Methods with Global Non-Asymptotic Convergence"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2410.02626","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:b60dd0705a0450dfef56f12d4fb2d02c9259019e5ffbf77b5d4fb563081c6301","target":"record","created_at":"2026-07-05T09:15:23Z","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":"552620dc048a131c5cccf0b683671241081251d9219c041430d566f6f3e3e130","cross_cats_sorted":["cs.LG","stat.ML"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2024-10-03T16:08:16Z","title_canon_sha256":"249387ff3b27f4d78f54b4bf3026c6e57287f888a85663e6a11eca39c858d3d9"},"schema_version":"1.0","source":{"id":"2410.02626","kind":"arxiv","version":1}},"canonical_sha256":"dd1ef32e4294c9757ae468eeda299944a181863de4c7f4b7aa20e371354ad5c6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"dd1ef32e4294c9757ae468eeda299944a181863de4c7f4b7aa20e371354ad5c6","first_computed_at":"2026-07-05T09:15:23.614443Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:15:23.614443Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"n9F1A7bEprJ0aafNjsJrazcqHRqNhK5xRYmtKfZ62DBaP2FgT/ME9oyvnmgEuROpxjE5BWgMxyNqV64TjXhoDA==","signature_status":"signed_v1","signed_at":"2026-07-05T09:15:23.614859Z","signed_message":"canonical_sha256_bytes"},"source_id":"2410.02626","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b60dd0705a0450dfef56f12d4fb2d02c9259019e5ffbf77b5d4fb563081c6301","sha256:81b64fbe736d36e0d9a7c6bbdb69674d7146c8e5a303c8819a5313390f3e25a5"],"state_sha256":"e9189f99a0eb20b4547b01e36bfde40b5245ccdc53ae767a95348b108c0f5460"}