{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:DUVPCKMLGV4WREQGPTVK6TCRIK","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":"5ee3a1420d4f1f9eae934e25950dbbb65b47bf4b86f2aeaac20103d9027eb6f7","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2018-08-12T16:55:13Z","title_canon_sha256":"2995d6bfdca1941c1f0b5c2b068ed60c7900bda075427ee27eee98706fe59465"},"schema_version":"1.0","source":{"id":"1808.03971","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1808.03971","created_at":"2026-05-18T00:08:19Z"},{"alias_kind":"arxiv_version","alias_value":"1808.03971v1","created_at":"2026-05-18T00:08:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1808.03971","created_at":"2026-05-18T00:08:19Z"},{"alias_kind":"pith_short_12","alias_value":"DUVPCKMLGV4W","created_at":"2026-05-18T12:32:19Z"},{"alias_kind":"pith_short_16","alias_value":"DUVPCKMLGV4WREQG","created_at":"2026-05-18T12:32:19Z"},{"alias_kind":"pith_short_8","alias_value":"DUVPCKML","created_at":"2026-05-18T12:32:19Z"}],"graph_snapshots":[{"event_id":"sha256:75eb04d092cdc6a9527811c8d0d4344658a0d50ce782be679b39bb1c8f379d68","target":"graph","created_at":"2026-05-18T00:08:19Z","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 consider the application of the type-I Anderson acceleration to solving general non-smooth fixed-point problems. By interleaving with safe-guarding steps, and employing a Powell-type regularization and a re-start checking for strong linear independence of the updates, we propose the first globally convergent variant of Anderson acceleration assuming only that the fixed-point iteration is non-expansive. We show by extensive numerical experiments that many first order algorithms can be improved, especially in their terminal convergence, with the proposed algorithm. Our proposed method of acce","authors_text":"Brendan O'Donoghue, Junzi Zhang, Stephen Boyd","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2018-08-12T16:55:13Z","title":"Globally Convergent Type-I Anderson Acceleration for Non-Smooth Fixed-Point Iterations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1808.03971","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":"sha256:539fc7cc589b95c32eb2016946c6ab044c6af7924a299497fe4b9ef566027dec","target":"record","created_at":"2026-05-18T00:08:19Z","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":"5ee3a1420d4f1f9eae934e25950dbbb65b47bf4b86f2aeaac20103d9027eb6f7","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2018-08-12T16:55:13Z","title_canon_sha256":"2995d6bfdca1941c1f0b5c2b068ed60c7900bda075427ee27eee98706fe59465"},"schema_version":"1.0","source":{"id":"1808.03971","kind":"arxiv","version":1}},"canonical_sha256":"1d2af1298b35796892067ceaaf4c5142b58a142c32115ee335e6e73a35dc6d1b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1d2af1298b35796892067ceaaf4c5142b58a142c32115ee335e6e73a35dc6d1b","first_computed_at":"2026-05-18T00:08:19.213981Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:08:19.213981Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"swr7b1JXg/lBK93ujxwg6GHH2smmYlG1mBhQsBmU/12kmruRSYhu+9u6PP3NgCETT5gsHL+KiKp+91dlLojoBg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:08:19.214462Z","signed_message":"canonical_sha256_bytes"},"source_id":"1808.03971","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:539fc7cc589b95c32eb2016946c6ab044c6af7924a299497fe4b9ef566027dec","sha256:75eb04d092cdc6a9527811c8d0d4344658a0d50ce782be679b39bb1c8f379d68"],"state_sha256":"069ccb617be871841cbfb09a681b4d0923e7299aba879a1be25841d1b3d7928d"}