{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:XBHLYDXSXMEJ4JP4J4T7R4TTEV","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":"b5c75ca35d7bc1fc963bdbd5f6af00808fc0f901c64421718bcf6cbd9d8aa5c4","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2012-11-06T15:05:59Z","title_canon_sha256":"726017c4f0133ffe0dd0ee7249e97a33d0aa9343b55acec4dca1a57c7a7683b5"},"schema_version":"1.0","source":{"id":"1211.1250","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1211.1250","created_at":"2026-05-18T03:41:21Z"},{"alias_kind":"arxiv_version","alias_value":"1211.1250v1","created_at":"2026-05-18T03:41:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1211.1250","created_at":"2026-05-18T03:41:21Z"},{"alias_kind":"pith_short_12","alias_value":"XBHLYDXSXMEJ","created_at":"2026-05-18T12:27:27Z"},{"alias_kind":"pith_short_16","alias_value":"XBHLYDXSXMEJ4JP4","created_at":"2026-05-18T12:27:27Z"},{"alias_kind":"pith_short_8","alias_value":"XBHLYDXS","created_at":"2026-05-18T12:27:27Z"}],"graph_snapshots":[{"event_id":"sha256:33766c296c338890d399f00ac4d2bb4120fdab8cd289ea1bdb8789c0ef1d15fc","target":"graph","created_at":"2026-05-18T03:41:21Z","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":"In this paper, we propose a sparse recovery algorithm called detection-directed (DD) sparse estimation using Bayesian hypothesis test (BHT) and belief propagation (BP). In this framework, we consider the use of sparse-binary sensing matrices which has the tree-like property and the sampled-message approach for the implementation of BP.\n  The key idea behind the proposed algorithm is that the recovery takes DD-estimation structure consisting of two parts: support detection and signal value estimation. BP and BHT perform the support detection, and an MMSE estimator finds the signal values using ","authors_text":"Heung-No Lee, Jaewook Kang, Kiseon Kim","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2012-11-06T15:05:59Z","title":"Detection-Directed Sparse Estimation using Bayesian Hypothesis Test and Belief Propagation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1211.1250","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:e019f2217a9f3850464810aa0784ccb63f44a410d7d405454068f72da2b6df2c","target":"record","created_at":"2026-05-18T03:41:21Z","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":"b5c75ca35d7bc1fc963bdbd5f6af00808fc0f901c64421718bcf6cbd9d8aa5c4","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2012-11-06T15:05:59Z","title_canon_sha256":"726017c4f0133ffe0dd0ee7249e97a33d0aa9343b55acec4dca1a57c7a7683b5"},"schema_version":"1.0","source":{"id":"1211.1250","kind":"arxiv","version":1}},"canonical_sha256":"b84ebc0ef2bb089e25fc4f27f8f273255f6295bcb68693a76079d3b2f8d47a31","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b84ebc0ef2bb089e25fc4f27f8f273255f6295bcb68693a76079d3b2f8d47a31","first_computed_at":"2026-05-18T03:41:21.994554Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:41:21.994554Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ivjFdy2C5ZIcwKs8nLc/j5cbIJZ3eEGkXCM5emlLOTnr4OERQ/uF2GwPyo1UPx2n4DVJ0Y/GBxKHP/tS638rDg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:41:21.994973Z","signed_message":"canonical_sha256_bytes"},"source_id":"1211.1250","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e019f2217a9f3850464810aa0784ccb63f44a410d7d405454068f72da2b6df2c","sha256:33766c296c338890d399f00ac4d2bb4120fdab8cd289ea1bdb8789c0ef1d15fc"],"state_sha256":"6eb9b1a329d5bfd23e99f5ae1796746b77be6ef6d1f0c1fbba50837dfe743349"}