{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:M7GDLUQQ77OOCN4F4TD74TUVFL","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":"5cf961f25765615dc8aeff9327d0865a81e280b656a205f48469acd8cd7c1fee","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2014-01-26T07:38:23Z","title_canon_sha256":"a9ce590f63a9c9651b90e5bc926358ba54f83eca9b3b9d151c1aa6d708577dd9"},"schema_version":"1.0","source":{"id":"1401.6623","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1401.6623","created_at":"2026-05-18T02:53:53Z"},{"alias_kind":"arxiv_version","alias_value":"1401.6623v3","created_at":"2026-05-18T02:53:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1401.6623","created_at":"2026-05-18T02:53:53Z"},{"alias_kind":"pith_short_12","alias_value":"M7GDLUQQ77OO","created_at":"2026-05-18T12:28:38Z"},{"alias_kind":"pith_short_16","alias_value":"M7GDLUQQ77OOCN4F","created_at":"2026-05-18T12:28:38Z"},{"alias_kind":"pith_short_8","alias_value":"M7GDLUQQ","created_at":"2026-05-18T12:28:38Z"}],"graph_snapshots":[{"event_id":"sha256:5a49a064f6bf7c4ffaf830f89ad364a7208136f0917f1373162a1f1375ef04b8","target":"graph","created_at":"2026-05-18T02:53:53Z","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 a recent paper, it is shown that the LASSO algorithm exhibits \"near-ideal behavior,\" in the following sense: Suppose $y = Az + \\eta$ where $A$ satisfies the restricted isometry property (RIP) with a sufficiently small constant, and $\\Vert \\eta \\Vert_2 \\leq \\epsilon$. Then minimizing $\\Vert z \\Vert_1$ subject to $\\Vert y - Az \\Vert_2 \\leq \\epsilon$ leads to an estimate $\\hat{x}$ whose error $\\Vert \\hat{x} - x \\Vert_2$ is bounded by a universal constant times the error achieved by an \"oracle\" that knows the location of the nonzero components of $x$. In the world of optimization, the LASSO alg","authors_text":"Mathukumalli Vidyasagar, Mehmet Eren Ahsen","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2014-01-26T07:38:23Z","title":"Near-Ideal Behavior of Compressed Sensing Algorithms"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1401.6623","kind":"arxiv","version":3},"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:edee3812f5cb1a7b38e6a99fb8c99ecf8cf3cbee97e5f140123df37edac75a6b","target":"record","created_at":"2026-05-18T02:53:53Z","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":"5cf961f25765615dc8aeff9327d0865a81e280b656a205f48469acd8cd7c1fee","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2014-01-26T07:38:23Z","title_canon_sha256":"a9ce590f63a9c9651b90e5bc926358ba54f83eca9b3b9d151c1aa6d708577dd9"},"schema_version":"1.0","source":{"id":"1401.6623","kind":"arxiv","version":3}},"canonical_sha256":"67cc35d210ffdce13785e4c7fe4e952aefe0055b9871f5fe39b7751fa30e8038","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"67cc35d210ffdce13785e4c7fe4e952aefe0055b9871f5fe39b7751fa30e8038","first_computed_at":"2026-05-18T02:53:53.207334Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:53:53.207334Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Oiy/VDjbYpkStXxdIYX1WvyKv/gKR+Z2fUO+J7fQIG47pSNxkViq7b4ezJaCj3J7UcglB4xj8JWbisZM3A4WDA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:53:53.208812Z","signed_message":"canonical_sha256_bytes"},"source_id":"1401.6623","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:edee3812f5cb1a7b38e6a99fb8c99ecf8cf3cbee97e5f140123df37edac75a6b","sha256:5a49a064f6bf7c4ffaf830f89ad364a7208136f0917f1373162a1f1375ef04b8"],"state_sha256":"839c77e64d9a11014dad3e5543e5824e732403f985095bf9006b8fa838f2cf61"}