{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:FVMRHUB7TDEYJYZXZYYDUPPW63","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":"fb384c25bcd78b409b3c25953803e9539566e8a3b83e2699b973c9fe9010393b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.AP","submitted_at":"2017-04-14T09:47:48Z","title_canon_sha256":"cddcc1738c26a9e928d03f32ecbaf1d88c9414a6e9e6bea57c05892907f2a050"},"schema_version":"1.0","source":{"id":"1704.04376","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1704.04376","created_at":"2026-05-18T00:46:21Z"},{"alias_kind":"arxiv_version","alias_value":"1704.04376v1","created_at":"2026-05-18T00:46:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1704.04376","created_at":"2026-05-18T00:46:21Z"},{"alias_kind":"pith_short_12","alias_value":"FVMRHUB7TDEY","created_at":"2026-05-18T12:31:15Z"},{"alias_kind":"pith_short_16","alias_value":"FVMRHUB7TDEYJYZX","created_at":"2026-05-18T12:31:15Z"},{"alias_kind":"pith_short_8","alias_value":"FVMRHUB7","created_at":"2026-05-18T12:31:15Z"}],"graph_snapshots":[{"event_id":"sha256:b8ed19ec58be01a44c0be075b156caedcc797d37430fd67ead19edea81919b95","target":"graph","created_at":"2026-05-18T00:46:21Z","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":"We assume the direct sum <A> o <B> for the signal subspace. As a result of post- measurement, a number of operational contexts presuppose the a priori knowledge of the LB -dimensional \"interfering\" subspace <B> and the goal is to estimate the LA am- plitudes corresponding to subspace <A>. Taking into account the knowledge of the orthogonal \"interfering\" subspace <B>\\perp, the Bayesian estimation lower bound is de- rivedfortheLA-sparsevectorinthedoublyasymptoticscenario,i.e. N,LA,LB -> \\infty with a finite asymptotic ratio. By jointly exploiting the Compressed Sensing (CS) and the Random Matrix","authors_text":"Guillaume Bouleux, R\\'emy Boyer","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.AP","submitted_at":"2017-04-14T09:47:48Z","title":"Sparse-Based Estimation Performance for Partially Known Overcomplete Large-Systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1704.04376","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:c3042188f8be78830245e170c203c467c3a620dc29a67b9fb4a4f7d0401a9fa9","target":"record","created_at":"2026-05-18T00:46:21Z","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":"fb384c25bcd78b409b3c25953803e9539566e8a3b83e2699b973c9fe9010393b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.AP","submitted_at":"2017-04-14T09:47:48Z","title_canon_sha256":"cddcc1738c26a9e928d03f32ecbaf1d88c9414a6e9e6bea57c05892907f2a050"},"schema_version":"1.0","source":{"id":"1704.04376","kind":"arxiv","version":1}},"canonical_sha256":"2d5913d03f98c984e337ce303a3df6f6de043a4679c754df7a511177b40e0062","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2d5913d03f98c984e337ce303a3df6f6de043a4679c754df7a511177b40e0062","first_computed_at":"2026-05-18T00:46:21.822421Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:46:21.822421Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"xak6j2eIhO4xBOkNhjBbU78iwSpw5hp6TQktpk0Hoque8zQKYmTfq5lTaoWRFSLYjT2iu04YjPhsJYEIopAODg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:46:21.822806Z","signed_message":"canonical_sha256_bytes"},"source_id":"1704.04376","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c3042188f8be78830245e170c203c467c3a620dc29a67b9fb4a4f7d0401a9fa9","sha256:b8ed19ec58be01a44c0be075b156caedcc797d37430fd67ead19edea81919b95"],"state_sha256":"e22571f1994edb8dc529d94d4bde743c5fc878ad0e6c5079c73d4901bc995797"}