{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:GOIUAMYJIFPHU6HFWNVTOE2ROL","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":"9def425ed6449d1b66fd0b9629028ea950b03414055b7d210a77a9ef867b6e20","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.OC","submitted_at":"2021-09-14T12:47:50Z","title_canon_sha256":"19089fa0994ffe6f2d67fcca66efc0be2905466f9b3bdda1b47ee1199abad9cc"},"schema_version":"1.0","source":{"id":"2109.06643","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2109.06643","created_at":"2026-07-05T03:14:28Z"},{"alias_kind":"arxiv_version","alias_value":"2109.06643v1","created_at":"2026-07-05T03:14:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2109.06643","created_at":"2026-07-05T03:14:28Z"},{"alias_kind":"pith_short_12","alias_value":"GOIUAMYJIFPH","created_at":"2026-07-05T03:14:28Z"},{"alias_kind":"pith_short_16","alias_value":"GOIUAMYJIFPHU6HF","created_at":"2026-07-05T03:14:28Z"},{"alias_kind":"pith_short_8","alias_value":"GOIUAMYJ","created_at":"2026-07-05T03:14:28Z"}],"graph_snapshots":[{"event_id":"sha256:937984feee1fc8dfa46ef643308b9d520f51d9c5972994f1a4cf6b3768cf9079","target":"graph","created_at":"2026-07-05T03:14:28Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2109.06643/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The linear quadratic regulator (LQR) problem is a cornerstone of automatic control, and it has been widely studied in the data-driven setting. The various data-driven approaches can be classified as indirect (i.e., based on an identified model) versus direct or as robust (i.e., taking uncertainty into account) versus certainty-equivalence. Here we show how to bridge these different formulations and propose a novel, direct, and regularized formulation. We start from indirect certainty-equivalence LQR, i.e., least-square identification of state-space matrices followed by a nominal model-based de","authors_text":"Claudio De Persis, Florian D\\\"orfler, Pietro Tesi","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.OC","submitted_at":"2021-09-14T12:47:50Z","title":"On the Certainty-Equivalence Approach to Direct Data-Driven LQR Design"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2109.06643","kind":"arxiv","version":1},"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:fd182768562c09ebd80b8ece74e399559975f57b8d640ca9e2136e4876ed6790","target":"record","created_at":"2026-07-05T03:14:28Z","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":"9def425ed6449d1b66fd0b9629028ea950b03414055b7d210a77a9ef867b6e20","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.OC","submitted_at":"2021-09-14T12:47:50Z","title_canon_sha256":"19089fa0994ffe6f2d67fcca66efc0be2905466f9b3bdda1b47ee1199abad9cc"},"schema_version":"1.0","source":{"id":"2109.06643","kind":"arxiv","version":1}},"canonical_sha256":"3391403309415e7a78e5b36b37135172c1a1e37d85c78abcb8e9ed37bd1271a7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3391403309415e7a78e5b36b37135172c1a1e37d85c78abcb8e9ed37bd1271a7","first_computed_at":"2026-07-05T03:14:28.898270Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T03:14:28.898270Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"MuVT8cG7DWVbeW2upcKTS9rdk5UPGzm3FQT7kdmb6Wnozoh0QN96Y7t2AuCpy8guSZM+kuKrCJboS8O1qx/jBQ==","signature_status":"signed_v1","signed_at":"2026-07-05T03:14:28.898672Z","signed_message":"canonical_sha256_bytes"},"source_id":"2109.06643","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fd182768562c09ebd80b8ece74e399559975f57b8d640ca9e2136e4876ed6790","sha256:937984feee1fc8dfa46ef643308b9d520f51d9c5972994f1a4cf6b3768cf9079"],"state_sha256":"c92cee2bedd7f75a84c54c4a5a86bbb5a4430e1cb273676ecd5cd8531b660ae3"}