{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:U6YLZCJ5FOLBQNC7XM3REYQ5XX","short_pith_number":"pith:U6YLZCJ5","schema_version":"1.0","canonical_sha256":"a7b0bc893d2b9618345fbb3712621dbdc55036d49f2152e289cbf8baa16229dc","source":{"kind":"arxiv","id":"1204.0590","version":1},"attestation_state":"computed","paper":{"title":"Linear System Identification via Atomic Norm Regularization","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.IT","math.IT"],"primary_cat":"math.OC","authors_text":"Badri Narayan Bhaskar, Benjamin Recht, Gongguo Tang, Parikshit Shah","submitted_at":"2012-04-03T04:07:01Z","abstract_excerpt":"This paper proposes a new algorithm for linear system identification from noisy measurements. The proposed algorithm balances a data fidelity term with a norm induced by the set of single pole filters. We pose a convex optimization problem that approximately solves the atomic norm minimization problem and identifies the unknown system from noisy linear measurements. This problem can be solved efficiently with standard, freely available software. We provide rigorous statistical guarantees that explicitly bound the estimation error (in the H_2-norm) in terms of the stability radius, the Hankel s"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1204.0590","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2012-04-03T04:07:01Z","cross_cats_sorted":["cs.IT","math.IT"],"title_canon_sha256":"1c62ddacf8a2ce27a4d083a80a20359cf6cea8717a3530ae057654b92800b94e","abstract_canon_sha256":"a5c1f4af2cc6f9e681b9d13c610263a50ecb7965f4656207f415bc5638c054cc"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:58:39.050183Z","signature_b64":"Piu+KN5P4ohzH1JrsDIFQlP+6VFDrgwYd9UwtJFiSn3+9c8++jGUQK0X+uLDK2rjJr2T5hAaLTteoyIC0t/ZDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a7b0bc893d2b9618345fbb3712621dbdc55036d49f2152e289cbf8baa16229dc","last_reissued_at":"2026-05-18T03:58:39.049432Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:58:39.049432Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Linear System Identification via Atomic Norm Regularization","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.IT","math.IT"],"primary_cat":"math.OC","authors_text":"Badri Narayan Bhaskar, Benjamin Recht, Gongguo Tang, Parikshit Shah","submitted_at":"2012-04-03T04:07:01Z","abstract_excerpt":"This paper proposes a new algorithm for linear system identification from noisy measurements. The proposed algorithm balances a data fidelity term with a norm induced by the set of single pole filters. We pose a convex optimization problem that approximately solves the atomic norm minimization problem and identifies the unknown system from noisy linear measurements. This problem can be solved efficiently with standard, freely available software. We provide rigorous statistical guarantees that explicitly bound the estimation error (in the H_2-norm) in terms of the stability radius, the Hankel s"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1204.0590","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"1204.0590","created_at":"2026-05-18T03:58:39.049560+00:00"},{"alias_kind":"arxiv_version","alias_value":"1204.0590v1","created_at":"2026-05-18T03:58:39.049560+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1204.0590","created_at":"2026-05-18T03:58:39.049560+00:00"},{"alias_kind":"pith_short_12","alias_value":"U6YLZCJ5FOLB","created_at":"2026-05-18T12:27:23.164592+00:00"},{"alias_kind":"pith_short_16","alias_value":"U6YLZCJ5FOLBQNC7","created_at":"2026-05-18T12:27:23.164592+00:00"},{"alias_kind":"pith_short_8","alias_value":"U6YLZCJ5","created_at":"2026-05-18T12:27:23.164592+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/U6YLZCJ5FOLBQNC7XM3REYQ5XX","json":"https://pith.science/pith/U6YLZCJ5FOLBQNC7XM3REYQ5XX.json","graph_json":"https://pith.science/api/pith-number/U6YLZCJ5FOLBQNC7XM3REYQ5XX/graph.json","events_json":"https://pith.science/api/pith-number/U6YLZCJ5FOLBQNC7XM3REYQ5XX/events.json","paper":"https://pith.science/paper/U6YLZCJ5"},"agent_actions":{"view_html":"https://pith.science/pith/U6YLZCJ5FOLBQNC7XM3REYQ5XX","download_json":"https://pith.science/pith/U6YLZCJ5FOLBQNC7XM3REYQ5XX.json","view_paper":"https://pith.science/paper/U6YLZCJ5","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1204.0590&json=true","fetch_graph":"https://pith.science/api/pith-number/U6YLZCJ5FOLBQNC7XM3REYQ5XX/graph.json","fetch_events":"https://pith.science/api/pith-number/U6YLZCJ5FOLBQNC7XM3REYQ5XX/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/U6YLZCJ5FOLBQNC7XM3REYQ5XX/action/timestamp_anchor","attest_storage":"https://pith.science/pith/U6YLZCJ5FOLBQNC7XM3REYQ5XX/action/storage_attestation","attest_author":"https://pith.science/pith/U6YLZCJ5FOLBQNC7XM3REYQ5XX/action/author_attestation","sign_citation":"https://pith.science/pith/U6YLZCJ5FOLBQNC7XM3REYQ5XX/action/citation_signature","submit_replication":"https://pith.science/pith/U6YLZCJ5FOLBQNC7XM3REYQ5XX/action/replication_record"}},"created_at":"2026-05-18T03:58:39.049560+00:00","updated_at":"2026-05-18T03:58:39.049560+00:00"}