{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:4EHECXJVORPCGKKK4IGNHGNTOO","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":"d94a2e5588a2d3043c73a9c4fffa4fd4617bf58a36180ce6b3a2611736166b59","cross_cats_sorted":["cs.NA"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.OC","submitted_at":"2016-08-08T03:30:12Z","title_canon_sha256":"42e5d2ac87411bbd31402e18c2649139dd8c1b27f14abc77e231bda1ccc3ced6"},"schema_version":"1.0","source":{"id":"1608.02875","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1608.02875","created_at":"2026-05-18T01:06:20Z"},{"alias_kind":"arxiv_version","alias_value":"1608.02875v2","created_at":"2026-05-18T01:06:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1608.02875","created_at":"2026-05-18T01:06:20Z"},{"alias_kind":"pith_short_12","alias_value":"4EHECXJVORPC","created_at":"2026-05-18T12:29:58Z"},{"alias_kind":"pith_short_16","alias_value":"4EHECXJVORPCGKKK","created_at":"2026-05-18T12:29:58Z"},{"alias_kind":"pith_short_8","alias_value":"4EHECXJV","created_at":"2026-05-18T12:29:58Z"}],"graph_snapshots":[{"event_id":"sha256:23ccc663f4e9bdcf9c8b4d47ca1fb0c218889451f7ef5cc205a8de4bb3ba0405","target":"graph","created_at":"2026-05-18T01:06:20Z","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"},"paper":{"abstract_excerpt":"Many machine learning models depend on solving a large scale optimization problem. Recently, sub-sampled Newton methods have emerged to attract much attention for optimization due to their efficiency at each iteration, rectified a weakness in the ordinary Newton method of suffering a high cost at each iteration while commanding a high convergence rate. In this work we propose two new efficient Newton-type methods, Refined Sub-sampled Newton and Refined Sketch Newton. Our methods exhibit a great advantage over existing sub-sampled Newton methods, especially when Hessian-vector multiplication ca","authors_text":"Haishan Ye, Luo Luo, Zhihua Zhang","cross_cats":["cs.NA"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.OC","submitted_at":"2016-08-08T03:30:12Z","title":"Revisiting Sub-sampled Newton Methods"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1608.02875","kind":"arxiv","version":2},"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":"sha256:82419d5b361b7b811c481b5d3d5064864f45ef253d9645113c60c0725326c4da","target":"record","created_at":"2026-05-18T01:06:20Z","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":"d94a2e5588a2d3043c73a9c4fffa4fd4617bf58a36180ce6b3a2611736166b59","cross_cats_sorted":["cs.NA"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.OC","submitted_at":"2016-08-08T03:30:12Z","title_canon_sha256":"42e5d2ac87411bbd31402e18c2649139dd8c1b27f14abc77e231bda1ccc3ced6"},"schema_version":"1.0","source":{"id":"1608.02875","kind":"arxiv","version":2}},"canonical_sha256":"e10e415d35745e23294ae20cd399b373aa5721fae8a76a095ecda15853c29fb0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e10e415d35745e23294ae20cd399b373aa5721fae8a76a095ecda15853c29fb0","first_computed_at":"2026-05-18T01:06:20.375165Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:06:20.375165Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"1A3mpKX1yh/RX4zuG6SVzkEBlfOHdBC0G3YNAo8yBoOFzuj00gyhrtRxZh+kODziuuDg2YzS5ghm6G9XENH3BA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:06:20.375821Z","signed_message":"canonical_sha256_bytes"},"source_id":"1608.02875","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:82419d5b361b7b811c481b5d3d5064864f45ef253d9645113c60c0725326c4da","sha256:23ccc663f4e9bdcf9c8b4d47ca1fb0c218889451f7ef5cc205a8de4bb3ba0405"],"state_sha256":"7da8c81a2e6b29f025516e252fa4b2834bf4709e9f17bcdee91953ef96eb43cc"}