{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:H7E3DMFRNL2YWSUI37LXT2GMZI","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":"2cb75198f987b894109ea83dcaf34e3563778f34e7328b68060de19f7756bf88","cross_cats_sorted":["math.IT","math.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2011-01-08T08:38:31Z","title_canon_sha256":"27341877c00031b90afa6da0d9a26b67d092a51a0999f0ca9eb3e8a419da1418"},"schema_version":"1.0","source":{"id":"1101.1577","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1101.1577","created_at":"2026-05-18T04:13:39Z"},{"alias_kind":"arxiv_version","alias_value":"1101.1577v2","created_at":"2026-05-18T04:13:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1101.1577","created_at":"2026-05-18T04:13:39Z"},{"alias_kind":"pith_short_12","alias_value":"H7E3DMFRNL2Y","created_at":"2026-05-18T12:26:30Z"},{"alias_kind":"pith_short_16","alias_value":"H7E3DMFRNL2YWSUI","created_at":"2026-05-18T12:26:30Z"},{"alias_kind":"pith_short_8","alias_value":"H7E3DMFR","created_at":"2026-05-18T12:26:30Z"}],"graph_snapshots":[{"event_id":"sha256:41357e4da049ab7679cc666000fc426bd8268e03938fd555c297583253f5154f","target":"graph","created_at":"2026-05-18T04:13:39Z","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 investigate the theoretical guarantees of penalized $\\lun$ minimization (also called Basis Pursuit Denoising or Lasso) in terms of sparsity pattern recovery (support and sign consistency) from noisy measurements with non-necessarily random noise, when the sensing operator belongs to the Gaussian ensemble (i.e. random design matrix with i.i.d. Gaussian entries). More precisely, we derive sharp non-asymptotic bounds on the sparsity level and (minimal) signal-to-noise ratio that ensure support identification for most signals and most Gaussian sensing matrices by solving the Lass","authors_text":"Charles Dossal (IMB), Gabriel Peyr\\'e (CEREMADE), Jalal Fadili (GREYC), Marie-Line Chabanol (IMB)","cross_cats":["math.IT","math.NA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2011-01-08T08:38:31Z","title":"Sharp Support Recovery from Noisy Random Measurements by L1 minimization"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1101.1577","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":"sha256:49da7ac3921cc20aa76fd40aa57cb9c9772ebe1b2570e7cc65c56d7a298a28f5","target":"record","created_at":"2026-05-18T04:13:39Z","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":"2cb75198f987b894109ea83dcaf34e3563778f34e7328b68060de19f7756bf88","cross_cats_sorted":["math.IT","math.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2011-01-08T08:38:31Z","title_canon_sha256":"27341877c00031b90afa6da0d9a26b67d092a51a0999f0ca9eb3e8a419da1418"},"schema_version":"1.0","source":{"id":"1101.1577","kind":"arxiv","version":2}},"canonical_sha256":"3fc9b1b0b16af58b4a88dfd779e8ccca14fc8d8de60d8b80852971cb622446c8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3fc9b1b0b16af58b4a88dfd779e8ccca14fc8d8de60d8b80852971cb622446c8","first_computed_at":"2026-05-18T04:13:39.337262Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:13:39.337262Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"vI7HNSFTeJmXazcTSSmEIUAcXet5mn+jIywby8Kpe4CaD3cUCN5sJRHbtiwH5E5TwLCKCBGpTVqL3mCbqb7CBA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:13:39.337822Z","signed_message":"canonical_sha256_bytes"},"source_id":"1101.1577","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:49da7ac3921cc20aa76fd40aa57cb9c9772ebe1b2570e7cc65c56d7a298a28f5","sha256:41357e4da049ab7679cc666000fc426bd8268e03938fd555c297583253f5154f"],"state_sha256":"d8d261c73ace90f7167330774e818aade129f160e4b5f99f21b80fe038170bfb"}