{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2024:JN56SVOEW4IENYISIEOVQF4FT2","short_pith_number":"pith:JN56SVOE","schema_version":"1.0","canonical_sha256":"4b7be955c4b71046e112411d5817859eb6292f7368909ba4fae43940badd5728","source":{"kind":"arxiv","id":"2406.10793","version":2},"attestation_state":"computed","paper":{"title":"Symplectic Extra-gradient Type Method for Solving General Non-monotone Inclusion Problem","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"math.OC","authors_text":"Ya-Xiang Yuan, Yi Zhang","submitted_at":"2024-06-16T03:36:19Z","abstract_excerpt":"In recent years, accelerated extra-gradient methods have attracted much attention by researchers, for solving monotone inclusion problems. A limitation of most current accelerated extra-gradient methods lies in their direct utilization of the initial point, which can potentially decelerate numerical convergence rate. In this work, we present a new accelerated extra-gradient method, by utilizing the symplectic acceleration technique. We establish the inverse of quadratic convergence rate by employing the Lyapunov function technique. Also, we demonstrate a faster inverse of quadratic convergence"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2406.10793","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.OC","submitted_at":"2024-06-16T03:36:19Z","cross_cats_sorted":[],"title_canon_sha256":"4d9c003bcc28f975aa7ee62a662bf9a65ad48a93b46adca7461d01f54eee6311","abstract_canon_sha256":"b961bcb037788fd972db9455ea4d089f78cbcf5f37d8b0151cbfc91818dc089e"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T10:36:25.909899Z","signature_b64":"N9clYmgfdzTFYLr0ZJpfIy++xxISuMcamATZzCjxB4Cybab1kqJtjm2rXwvJ8ttQo2Kr4Mo4Eyw/aP24uJUDCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4b7be955c4b71046e112411d5817859eb6292f7368909ba4fae43940badd5728","last_reissued_at":"2026-07-05T10:36:25.909242Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T10:36:25.909242Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Symplectic Extra-gradient Type Method for Solving General Non-monotone Inclusion Problem","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"math.OC","authors_text":"Ya-Xiang Yuan, Yi Zhang","submitted_at":"2024-06-16T03:36:19Z","abstract_excerpt":"In recent years, accelerated extra-gradient methods have attracted much attention by researchers, for solving monotone inclusion problems. A limitation of most current accelerated extra-gradient methods lies in their direct utilization of the initial point, which can potentially decelerate numerical convergence rate. In this work, we present a new accelerated extra-gradient method, by utilizing the symplectic acceleration technique. We establish the inverse of quadratic convergence rate by employing the Lyapunov function technique. Also, we demonstrate a faster inverse of quadratic convergence"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2406.10793","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2406.10793/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"2406.10793","created_at":"2026-07-05T10:36:25.909310+00:00"},{"alias_kind":"arxiv_version","alias_value":"2406.10793v2","created_at":"2026-07-05T10:36:25.909310+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2406.10793","created_at":"2026-07-05T10:36:25.909310+00:00"},{"alias_kind":"pith_short_12","alias_value":"JN56SVOEW4IE","created_at":"2026-07-05T10:36:25.909310+00:00"},{"alias_kind":"pith_short_16","alias_value":"JN56SVOEW4IENYIS","created_at":"2026-07-05T10:36:25.909310+00:00"},{"alias_kind":"pith_short_8","alias_value":"JN56SVOE","created_at":"2026-07-05T10:36:25.909310+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":2,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2607.07585","citing_title":"Convergence Analysis of the Restarted Moving-Anchored Extra-Gradient Method in the Absence of Local Lipschitz Continuity","ref_index":44,"is_internal_anchor":true},{"citing_arxiv_id":"2606.22392","citing_title":"Convergence Rates of Tseng's Splitting Method and Its Acceleration Schemes for Monotone Inclusion Problem with a Sum of H\\\"older Continuous Operators","ref_index":46,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/JN56SVOEW4IENYISIEOVQF4FT2","json":"https://pith.science/pith/JN56SVOEW4IENYISIEOVQF4FT2.json","graph_json":"https://pith.science/api/pith-number/JN56SVOEW4IENYISIEOVQF4FT2/graph.json","events_json":"https://pith.science/api/pith-number/JN56SVOEW4IENYISIEOVQF4FT2/events.json","paper":"https://pith.science/paper/JN56SVOE"},"agent_actions":{"view_html":"https://pith.science/pith/JN56SVOEW4IENYISIEOVQF4FT2","download_json":"https://pith.science/pith/JN56SVOEW4IENYISIEOVQF4FT2.json","view_paper":"https://pith.science/paper/JN56SVOE","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2406.10793&json=true","fetch_graph":"https://pith.science/api/pith-number/JN56SVOEW4IENYISIEOVQF4FT2/graph.json","fetch_events":"https://pith.science/api/pith-number/JN56SVOEW4IENYISIEOVQF4FT2/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/JN56SVOEW4IENYISIEOVQF4FT2/action/timestamp_anchor","attest_storage":"https://pith.science/pith/JN56SVOEW4IENYISIEOVQF4FT2/action/storage_attestation","attest_author":"https://pith.science/pith/JN56SVOEW4IENYISIEOVQF4FT2/action/author_attestation","sign_citation":"https://pith.science/pith/JN56SVOEW4IENYISIEOVQF4FT2/action/citation_signature","submit_replication":"https://pith.science/pith/JN56SVOEW4IENYISIEOVQF4FT2/action/replication_record"}},"created_at":"2026-07-05T10:36:25.909310+00:00","updated_at":"2026-07-05T10:36:25.909310+00:00"}