{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:NWWBOSAFARIB6YVVYKYIAN7DA5","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":"1a58c764974c7ff49cbaa34c2b9fb67bb0a3af916b34c4a38c0a59622332f1fa","cross_cats_sorted":["cs.LG"],"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"math.OC","submitted_at":"2022-07-30T13:05:01Z","title_canon_sha256":"5534785447e021e45b03a82a4abd6f3e6b3ab56736bfd4bf8ce324a9ad4d7798"},"schema_version":"1.0","source":{"id":"2208.00208","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2208.00208","created_at":"2026-07-05T06:26:41Z"},{"alias_kind":"arxiv_version","alias_value":"2208.00208v3","created_at":"2026-07-05T06:26:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2208.00208","created_at":"2026-07-05T06:26:41Z"},{"alias_kind":"pith_short_12","alias_value":"NWWBOSAFARIB","created_at":"2026-07-05T06:26:41Z"},{"alias_kind":"pith_short_16","alias_value":"NWWBOSAFARIB6YVV","created_at":"2026-07-05T06:26:41Z"},{"alias_kind":"pith_short_8","alias_value":"NWWBOSAF","created_at":"2026-07-05T06:26:41Z"}],"graph_snapshots":[{"event_id":"sha256:2f8c85ee92ab97af2071266abe7f0cd7b3ddf1b0ba57c864f22f9a839a6929f5","target":"graph","created_at":"2026-07-05T06:26:41Z","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/2208.00208/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this paper, we propose a Dimension-Reduced Second-Order Method (DRSOM) for convex and nonconvex (unconstrained) optimization. Under a trust-region-like framework, our method preserves the convergence of the second-order method while using only curvature information in a few directions. Consequently, the computational overhead of our method remains comparable to the first-order such as the gradient descent method. Theoretically, we show that the method has a local quadratic convergence and a global convergence rate of $O(\\epsilon^{-3/2})$ to satisfy the first-order and second-order condition","authors_text":"Bo Jiang, Chang He, Chuwen Zhang, Dongdong Ge, Yinyu Ye, Yuntian Jiang","cross_cats":["cs.LG"],"headline":"","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"math.OC","submitted_at":"2022-07-30T13:05:01Z","title":"DRSOM: A Dimension Reduced Second-Order Method"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2208.00208","kind":"arxiv","version":3},"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":"sha256:432185fd8059600a6bcb610a8cfd6d7b048d17820f859560a222370fff942937","target":"record","created_at":"2026-07-05T06:26:41Z","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":"1a58c764974c7ff49cbaa34c2b9fb67bb0a3af916b34c4a38c0a59622332f1fa","cross_cats_sorted":["cs.LG"],"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"math.OC","submitted_at":"2022-07-30T13:05:01Z","title_canon_sha256":"5534785447e021e45b03a82a4abd6f3e6b3ab56736bfd4bf8ce324a9ad4d7798"},"schema_version":"1.0","source":{"id":"2208.00208","kind":"arxiv","version":3}},"canonical_sha256":"6dac17480504501f62b5c2b08037e3075ed9ff713160c2d9bd28303edfff6da7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6dac17480504501f62b5c2b08037e3075ed9ff713160c2d9bd28303edfff6da7","first_computed_at":"2026-07-05T06:26:41.719956Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T06:26:41.719956Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"SuLO0Kc/2lAoqhz6mJmBBQCFSkUtSwenMR5MCRsqaF4u7+n2q03gHPWYq2VV660aZqX3wJGu5XbBBSxEOSkEBg==","signature_status":"signed_v1","signed_at":"2026-07-05T06:26:41.720507Z","signed_message":"canonical_sha256_bytes"},"source_id":"2208.00208","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:432185fd8059600a6bcb610a8cfd6d7b048d17820f859560a222370fff942937","sha256:2f8c85ee92ab97af2071266abe7f0cd7b3ddf1b0ba57c864f22f9a839a6929f5"],"state_sha256":"2b731d36dc14eacb3d81c954a0b2ad4ed2a70307e40ab40c148716e4492c7caa"}