{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:JKRO4PZTJMHO4FZTOE4KXVF7PL","short_pith_number":"pith:JKRO4PZT","schema_version":"1.0","canonical_sha256":"4aa2ee3f334b0eee17337138abd4bf7aee3a16ea773495d6846ba824be30d915","source":{"kind":"arxiv","id":"1707.04791","version":2},"attestation_state":"computed","paper":{"title":"Non-Asymptotic Analysis of Robust Control from Coarse-Grained Identification","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.LG"],"primary_cat":"math.OC","authors_text":"Andrew Packard, Benjamin Recht, Ross Boczar, Stephen Tu","submitted_at":"2017-07-15T21:45:20Z","abstract_excerpt":"This work explores the trade-off between the number of samples required to accurately build models of dynamical systems and the degradation of performance in various control objectives due to a coarse approximation. In particular, we show that simple models can be easily fit from input/output data and are sufficient for achieving various control objectives. We derive bounds on the number of noisy input/output samples from a stable linear time-invariant system that are sufficient to guarantee that the corresponding finite impulse response approximation is close to the true system in the $\\mathc"},"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":"1707.04791","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2017-07-15T21:45:20Z","cross_cats_sorted":["cs.LG"],"title_canon_sha256":"b1ef1f808e23501cfe015e1b1d49a23794ed16502895cc10efb803f0cc92c684","abstract_canon_sha256":"ece3f29dadfe4e90a9cb64c60ed3e1fd3233e0b073fb0fd485100b275ae9b5c7"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:29:13.163521Z","signature_b64":"xXjWZA/k3lfMOnXlUkr2Q3YBBlWw6nmEosFv6CfbwPgJe8qWfL3cuA1B4JCoL7tO9+2B1wHcCYQ/RpVHHbrHCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4aa2ee3f334b0eee17337138abd4bf7aee3a16ea773495d6846ba824be30d915","last_reissued_at":"2026-05-18T00:29:13.162880Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:29:13.162880Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Non-Asymptotic Analysis of Robust Control from Coarse-Grained Identification","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.LG"],"primary_cat":"math.OC","authors_text":"Andrew Packard, Benjamin Recht, Ross Boczar, Stephen Tu","submitted_at":"2017-07-15T21:45:20Z","abstract_excerpt":"This work explores the trade-off between the number of samples required to accurately build models of dynamical systems and the degradation of performance in various control objectives due to a coarse approximation. In particular, we show that simple models can be easily fit from input/output data and are sufficient for achieving various control objectives. We derive bounds on the number of noisy input/output samples from a stable linear time-invariant system that are sufficient to guarantee that the corresponding finite impulse response approximation is close to the true system in the $\\mathc"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1707.04791","kind":"arxiv","version":2},"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":"1707.04791","created_at":"2026-05-18T00:29:13.162985+00:00"},{"alias_kind":"arxiv_version","alias_value":"1707.04791v2","created_at":"2026-05-18T00:29:13.162985+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1707.04791","created_at":"2026-05-18T00:29:13.162985+00:00"},{"alias_kind":"pith_short_12","alias_value":"JKRO4PZTJMHO","created_at":"2026-05-18T12:31:24.725408+00:00"},{"alias_kind":"pith_short_16","alias_value":"JKRO4PZTJMHO4FZT","created_at":"2026-05-18T12:31:24.725408+00:00"},{"alias_kind":"pith_short_8","alias_value":"JKRO4PZT","created_at":"2026-05-18T12:31:24.725408+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/JKRO4PZTJMHO4FZTOE4KXVF7PL","json":"https://pith.science/pith/JKRO4PZTJMHO4FZTOE4KXVF7PL.json","graph_json":"https://pith.science/api/pith-number/JKRO4PZTJMHO4FZTOE4KXVF7PL/graph.json","events_json":"https://pith.science/api/pith-number/JKRO4PZTJMHO4FZTOE4KXVF7PL/events.json","paper":"https://pith.science/paper/JKRO4PZT"},"agent_actions":{"view_html":"https://pith.science/pith/JKRO4PZTJMHO4FZTOE4KXVF7PL","download_json":"https://pith.science/pith/JKRO4PZTJMHO4FZTOE4KXVF7PL.json","view_paper":"https://pith.science/paper/JKRO4PZT","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1707.04791&json=true","fetch_graph":"https://pith.science/api/pith-number/JKRO4PZTJMHO4FZTOE4KXVF7PL/graph.json","fetch_events":"https://pith.science/api/pith-number/JKRO4PZTJMHO4FZTOE4KXVF7PL/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/JKRO4PZTJMHO4FZTOE4KXVF7PL/action/timestamp_anchor","attest_storage":"https://pith.science/pith/JKRO4PZTJMHO4FZTOE4KXVF7PL/action/storage_attestation","attest_author":"https://pith.science/pith/JKRO4PZTJMHO4FZTOE4KXVF7PL/action/author_attestation","sign_citation":"https://pith.science/pith/JKRO4PZTJMHO4FZTOE4KXVF7PL/action/citation_signature","submit_replication":"https://pith.science/pith/JKRO4PZTJMHO4FZTOE4KXVF7PL/action/replication_record"}},"created_at":"2026-05-18T00:29:13.162985+00:00","updated_at":"2026-05-18T00:29:13.162985+00:00"}