{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:IHG5SLCIHHNSFNOJ3DB3RQG5ES","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":"a622ad91b2b4c6151344e5dfbef55662a43b04b1d1995d8d361747e1b2713827","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2013-12-01T18:08:40Z","title_canon_sha256":"86901c83bdc86ffadb71143624be6ba5022b14cf84fa2e32daacb1388bd2aa71"},"schema_version":"1.0","source":{"id":"1312.0256","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1312.0256","created_at":"2026-05-18T01:21:16Z"},{"alias_kind":"arxiv_version","alias_value":"1312.0256v2","created_at":"2026-05-18T01:21:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1312.0256","created_at":"2026-05-18T01:21:16Z"},{"alias_kind":"pith_short_12","alias_value":"IHG5SLCIHHNS","created_at":"2026-05-18T12:27:46Z"},{"alias_kind":"pith_short_16","alias_value":"IHG5SLCIHHNSFNOJ","created_at":"2026-05-18T12:27:46Z"},{"alias_kind":"pith_short_8","alias_value":"IHG5SLCI","created_at":"2026-05-18T12:27:46Z"}],"graph_snapshots":[{"event_id":"sha256:ef3df90415eb4731d54f774e168fae10f0f63d0e5b0e7e788242b462c18b686b","target":"graph","created_at":"2026-05-18T01:21:16Z","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":"Performance of regularized least-squares estimation in noisy compressed sensing is analyzed in the limit when the dimensions of the measurement matrix grow large. The sensing matrix is considered to be from a class of random ensembles that encloses as special cases standard Gaussian, row-orthogonal, geometric and so-called T-orthogonal constructions. Source vectors that have non-uniform sparsity are included in the system model. Regularization based on l1-norm and leading to LASSO estimation, or basis pursuit denoising, is given the main emphasis in the analysis. Extensions to l2-norm and \"zer","authors_text":"Mikko Vehkapera, Saikat Chatterjee, Yoshiyuki Kabashima","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2013-12-01T18:08:40Z","title":"Analysis of Regularized LS Reconstruction and Random Matrix Ensembles in Compressed Sensing"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1312.0256","kind":"arxiv","version":2},"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":"sha256:09320001aa92cdcb32d519c3f3e433f54670c8268588265814ef25b67f8aee64","target":"record","created_at":"2026-05-18T01:21:16Z","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":"a622ad91b2b4c6151344e5dfbef55662a43b04b1d1995d8d361747e1b2713827","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2013-12-01T18:08:40Z","title_canon_sha256":"86901c83bdc86ffadb71143624be6ba5022b14cf84fa2e32daacb1388bd2aa71"},"schema_version":"1.0","source":{"id":"1312.0256","kind":"arxiv","version":2}},"canonical_sha256":"41cdd92c4839db22b5c9d8c3b8c0dd2493996799fef19c9d08a2078b598e80bb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"41cdd92c4839db22b5c9d8c3b8c0dd2493996799fef19c9d08a2078b598e80bb","first_computed_at":"2026-05-18T01:21:16.398451Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:21:16.398451Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"tApra43S0ErnEUaIaHOBbw3TNAo81cFsmBZQvVWbMAlY0dBiLBAEWdNKWtyV+WEtMNSKOgHoQW/3KSJmynKjDw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:21:16.399184Z","signed_message":"canonical_sha256_bytes"},"source_id":"1312.0256","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:09320001aa92cdcb32d519c3f3e433f54670c8268588265814ef25b67f8aee64","sha256:ef3df90415eb4731d54f774e168fae10f0f63d0e5b0e7e788242b462c18b686b"],"state_sha256":"8d69233784bcc5ba9c1938bd25b4d50537f295451249eb8223771faf5c4a06d0"}