{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:EEJQA45Q2S5DXENBVKS63FRYNP","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":"891b76d449a0a9945b014bf136cea158d3ed4125831ee49f474cbd2e3eab0e08","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2019-05-02T08:15:42Z","title_canon_sha256":"f74c668d36affa22a8188832f6404ed7631f5d10fb5da513177756a4aa7c8348"},"schema_version":"1.0","source":{"id":"1905.01020","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1905.01020","created_at":"2026-05-17T23:47:07Z"},{"alias_kind":"arxiv_version","alias_value":"1905.01020v1","created_at":"2026-05-17T23:47:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1905.01020","created_at":"2026-05-17T23:47:07Z"},{"alias_kind":"pith_short_12","alias_value":"EEJQA45Q2S5D","created_at":"2026-05-18T12:33:15Z"},{"alias_kind":"pith_short_16","alias_value":"EEJQA45Q2S5DXENB","created_at":"2026-05-18T12:33:15Z"},{"alias_kind":"pith_short_8","alias_value":"EEJQA45Q","created_at":"2026-05-18T12:33:15Z"}],"graph_snapshots":[{"event_id":"sha256:67887f5e110f04ce3eaba23e8cc90494d9ff03f2c88af4b24a2109ee8b81307e","target":"graph","created_at":"2026-05-17T23:47:07Z","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 introduce a stochastic coordinate extension of the first-order primal-dual method studied by Cohen and Zhu (1984) and Zhao and Zhu (2018) to solve Composite Optimization with Composite Cone-constraints (COCC). In this method, we randomly choose a block of variables based on the uniform distribution. The linearization and Bregman-like function (core function) to that randomly selected block allow us to get simple parallel primal-dual decomposition for COCC. We obtain almost surely convergence and O(1/t) expected convergence rate in this work. The high probability complexity bound is also der","authors_text":"Daoli Zhu, Lei Zhao","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2019-05-02T08:15:42Z","title":"Stochastic Primal-Dual Coordinate Method with Large Step Size for Composite Optimization with Composite Cone-constraints"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1905.01020","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:ae20bbdd5a6f20c6e2e41f74af78eb408a3fe30eaf3ebe2c64a82c62a30ab7e4","target":"record","created_at":"2026-05-17T23:47:07Z","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":"891b76d449a0a9945b014bf136cea158d3ed4125831ee49f474cbd2e3eab0e08","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2019-05-02T08:15:42Z","title_canon_sha256":"f74c668d36affa22a8188832f6404ed7631f5d10fb5da513177756a4aa7c8348"},"schema_version":"1.0","source":{"id":"1905.01020","kind":"arxiv","version":1}},"canonical_sha256":"21130073b0d4ba3b91a1aaa5ed96386bff14e972620f46cce9f6f111dbe260d6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"21130073b0d4ba3b91a1aaa5ed96386bff14e972620f46cce9f6f111dbe260d6","first_computed_at":"2026-05-17T23:47:07.907912Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:47:07.907912Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"fnGZb6Xar9RJ+CJztZsAmHiMZzEN6DQ7n5aS0L2IR4GtO/0+oqGODGd07XwZLzxIMk/LRCqqzCKv9nLL8QUaAA==","signature_status":"signed_v1","signed_at":"2026-05-17T23:47:07.908534Z","signed_message":"canonical_sha256_bytes"},"source_id":"1905.01020","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ae20bbdd5a6f20c6e2e41f74af78eb408a3fe30eaf3ebe2c64a82c62a30ab7e4","sha256:67887f5e110f04ce3eaba23e8cc90494d9ff03f2c88af4b24a2109ee8b81307e"],"state_sha256":"76d203982a713f322018ecee069c39672b58442a763d6db1682641fd988e7425"}