{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:X6LKH2QSQUIE7K3RDVMOSJMS5V","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":"c50e96889b1fb63c9a583861f93a3a26c1e654978667c3acf074902cdbd1bb01","cross_cats_sorted":["cs.DC","cs.IT","math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2017-08-23T03:55:45Z","title_canon_sha256":"d476d9c47124a2f6e9925edfe49e376b3f3c944848474da352db6bb4a0b538dc"},"schema_version":"1.0","source":{"id":"1708.06881","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1708.06881","created_at":"2026-05-18T00:36:48Z"},{"alias_kind":"arxiv_version","alias_value":"1708.06881v1","created_at":"2026-05-18T00:36:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1708.06881","created_at":"2026-05-18T00:36:48Z"},{"alias_kind":"pith_short_12","alias_value":"X6LKH2QSQUIE","created_at":"2026-05-18T12:31:53Z"},{"alias_kind":"pith_short_16","alias_value":"X6LKH2QSQUIE7K3R","created_at":"2026-05-18T12:31:53Z"},{"alias_kind":"pith_short_8","alias_value":"X6LKH2QS","created_at":"2026-05-18T12:31:53Z"}],"graph_snapshots":[{"event_id":"sha256:abef180ea93656af757ca41db3c74d331a62eb3a1e7cffaa88a01106fe10df32","target":"graph","created_at":"2026-05-18T00:36:48Z","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":"Recently the primal-dual method of multipliers (PDMM), a novel distributed optimization method, was proposed for solving a general class of decomposable convex optimizations over graphic models. In this work, we first study the convergence properties of PDMM for decomposable quadratic optimizations over tree-structured graphs. We show that with proper parameter selection, PDMM converges to its optimal solution in finite number of iterations. We then apply PDMM for the causal estimation problem over a statistical linear state-space model. We show that PDMM and the Kalman filter have the same up","authors_text":"Guoqiang Zhang, Richard Heusdens, W. Bastiaan Kleijn","cross_cats":["cs.DC","cs.IT","math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2017-08-23T03:55:45Z","title":"On Relationship between Primal-Dual Method of Multipliers and Kalman Filter"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1708.06881","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":"sha256:2136314605ab22206682c2b7692ed872d01eb20974cf0e5f5cead623a9757128","target":"record","created_at":"2026-05-18T00:36:48Z","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":"c50e96889b1fb63c9a583861f93a3a26c1e654978667c3acf074902cdbd1bb01","cross_cats_sorted":["cs.DC","cs.IT","math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2017-08-23T03:55:45Z","title_canon_sha256":"d476d9c47124a2f6e9925edfe49e376b3f3c944848474da352db6bb4a0b538dc"},"schema_version":"1.0","source":{"id":"1708.06881","kind":"arxiv","version":1}},"canonical_sha256":"bf96a3ea1285104fab711d58e92592ed456fe68e2e97a603e7bb626e5d9e6dd8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bf96a3ea1285104fab711d58e92592ed456fe68e2e97a603e7bb626e5d9e6dd8","first_computed_at":"2026-05-18T00:36:48.968266Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:36:48.968266Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"hDz1CjKMHWIYVTjPOm1/ZfQI49W+5DqigqmBZkyH7narjIDslzKf2TiweTaFj3luHdHlADC41ijNaTmEzM9HDw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:36:48.968881Z","signed_message":"canonical_sha256_bytes"},"source_id":"1708.06881","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2136314605ab22206682c2b7692ed872d01eb20974cf0e5f5cead623a9757128","sha256:abef180ea93656af757ca41db3c74d331a62eb3a1e7cffaa88a01106fe10df32"],"state_sha256":"e892265c0bfd8bbbc6e2a7e1d5c35554f5e9954b907f11f4eb4736b23a7d7b83"}