{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:3A7EUMMO2M3SG3EEWUR6ZF7S7K","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":"bbde2cf110a9e4f0c4d82a5a0eab2fb4187c48611534ef7d1489cdd176e325f5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2017-03-27T19:40:29Z","title_canon_sha256":"a783038b3c3904cec0923a1c3fed1b3fb86f7c23d52aff5c4d5b5cde4ba8e125"},"schema_version":"1.0","source":{"id":"1703.09280","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1703.09280","created_at":"2026-05-18T00:22:33Z"},{"alias_kind":"arxiv_version","alias_value":"1703.09280v2","created_at":"2026-05-18T00:22:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1703.09280","created_at":"2026-05-18T00:22:33Z"},{"alias_kind":"pith_short_12","alias_value":"3A7EUMMO2M3S","created_at":"2026-05-18T12:30:58Z"},{"alias_kind":"pith_short_16","alias_value":"3A7EUMMO2M3SG3EE","created_at":"2026-05-18T12:30:58Z"},{"alias_kind":"pith_short_8","alias_value":"3A7EUMMO","created_at":"2026-05-18T12:30:58Z"}],"graph_snapshots":[{"event_id":"sha256:f9adb98020b9094a5a633bddaa4c68d51eb80f215ee0e576bba2fe41cdcf216b","target":"graph","created_at":"2026-05-18T00:22:33Z","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":"We present a subgradient method for minimizing non-smooth, non-Lipschitz convex optimization problems. The only structure assumed is that a strictly feasible point is known. We extend the work of Renegar [5] by taking a different perspective, leading to an algorithm which is conceptually more natural, has notably improved convergence rates, and for which the analysis is surprisingly simple. At each iteration, the algorithm takes a subgradient step and then performs a line search to move radially towards (or away from) the known feasible point. Our convergence results have striking similarities","authors_text":"Benjamin Grimmer","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2017-03-27T19:40:29Z","title":"Radial Subgradient Method"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1703.09280","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":"sha256:02222bf42d05c78cc487003c6679b4f80cd418af3c2d6d5efa4a128944623023","target":"record","created_at":"2026-05-18T00:22:33Z","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":"bbde2cf110a9e4f0c4d82a5a0eab2fb4187c48611534ef7d1489cdd176e325f5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2017-03-27T19:40:29Z","title_canon_sha256":"a783038b3c3904cec0923a1c3fed1b3fb86f7c23d52aff5c4d5b5cde4ba8e125"},"schema_version":"1.0","source":{"id":"1703.09280","kind":"arxiv","version":2}},"canonical_sha256":"d83e4a318ed337236c84b523ec97f2fa9b7919de73e609c0c731d2dea91011c9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d83e4a318ed337236c84b523ec97f2fa9b7919de73e609c0c731d2dea91011c9","first_computed_at":"2026-05-18T00:22:33.403537Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:22:33.403537Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"8CrPA81/K/6VCPgrbrGJsJ5r2RUZ9EdkpZ75eakvQCScusBVvsTv9gdgpMskRGiaGVQUYojJbQHLrHChzFg/Bg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:22:33.404126Z","signed_message":"canonical_sha256_bytes"},"source_id":"1703.09280","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:02222bf42d05c78cc487003c6679b4f80cd418af3c2d6d5efa4a128944623023","sha256:f9adb98020b9094a5a633bddaa4c68d51eb80f215ee0e576bba2fe41cdcf216b"],"state_sha256":"58abb328352bb8b1dfec1eb896bc0984460986ad77cc74e5917827a385a2e872"}