{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:IMICSD6A3MGS6CLK6T433HOEGV","short_pith_number":"pith:IMICSD6A","schema_version":"1.0","canonical_sha256":"4310290fc0db0d2f096af4f9bd9dc435626edbf1febb22543a33c8da372b189c","source":{"kind":"arxiv","id":"1510.04214","version":3},"attestation_state":"computed","paper":{"title":"LQG Control with Minimum Directed Information: Semidefinite Programming Approach","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.IT","math.IT"],"primary_cat":"math.OC","authors_text":"Peyman Mohajerin Esfahani, Sanjoy K. Mitter, Takashi Tanaka","submitted_at":"2015-10-14T17:40:41Z","abstract_excerpt":"We consider a discrete-time Linear-Quadratic-Gaussian (LQG) control problem in which Massey's directed information from the observed output of the plant to the control input is minimized while required control performance is attainable. This problem arises in several different contexts, including joint encoder and controller design for data-rate minimization in networked control systems. We show that the optimal control law is a Linear-Gaussian randomized policy. We also identify the state space realization of the optimal policy, which can be synthesized by an efficient algorithm based on semi"},"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":"1510.04214","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2015-10-14T17:40:41Z","cross_cats_sorted":["cs.IT","math.IT"],"title_canon_sha256":"b064a5703cf4ff915d09e41eba217ac9983cede7e1853c31538408543a83b932","abstract_canon_sha256":"92c6edfbaec762d1d90edb1d24cecc0f57c562b7e045f59cfc7dd113258c9552"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:42:39.671440Z","signature_b64":"iuZgzDxdHrYqZPuRULS26VPlmVUvUkzAQuSyTVHatk3VWIcGo4UVv79rbD51MHA4JWvaGS6IyErLTxZJ67jjAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4310290fc0db0d2f096af4f9bd9dc435626edbf1febb22543a33c8da372b189c","last_reissued_at":"2026-05-18T00:42:39.670830Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:42:39.670830Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"LQG Control with Minimum Directed Information: Semidefinite Programming Approach","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.IT","math.IT"],"primary_cat":"math.OC","authors_text":"Peyman Mohajerin Esfahani, Sanjoy K. Mitter, Takashi Tanaka","submitted_at":"2015-10-14T17:40:41Z","abstract_excerpt":"We consider a discrete-time Linear-Quadratic-Gaussian (LQG) control problem in which Massey's directed information from the observed output of the plant to the control input is minimized while required control performance is attainable. This problem arises in several different contexts, including joint encoder and controller design for data-rate minimization in networked control systems. We show that the optimal control law is a Linear-Gaussian randomized policy. We also identify the state space realization of the optimal policy, which can be synthesized by an efficient algorithm based on semi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1510.04214","kind":"arxiv","version":3},"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":"1510.04214","created_at":"2026-05-18T00:42:39.670943+00:00"},{"alias_kind":"arxiv_version","alias_value":"1510.04214v3","created_at":"2026-05-18T00:42:39.670943+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1510.04214","created_at":"2026-05-18T00:42:39.670943+00:00"},{"alias_kind":"pith_short_12","alias_value":"IMICSD6A3MGS","created_at":"2026-05-18T12:29:25.134429+00:00"},{"alias_kind":"pith_short_16","alias_value":"IMICSD6A3MGS6CLK","created_at":"2026-05-18T12:29:25.134429+00:00"},{"alias_kind":"pith_short_8","alias_value":"IMICSD6A","created_at":"2026-05-18T12:29:25.134429+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/IMICSD6A3MGS6CLK6T433HOEGV","json":"https://pith.science/pith/IMICSD6A3MGS6CLK6T433HOEGV.json","graph_json":"https://pith.science/api/pith-number/IMICSD6A3MGS6CLK6T433HOEGV/graph.json","events_json":"https://pith.science/api/pith-number/IMICSD6A3MGS6CLK6T433HOEGV/events.json","paper":"https://pith.science/paper/IMICSD6A"},"agent_actions":{"view_html":"https://pith.science/pith/IMICSD6A3MGS6CLK6T433HOEGV","download_json":"https://pith.science/pith/IMICSD6A3MGS6CLK6T433HOEGV.json","view_paper":"https://pith.science/paper/IMICSD6A","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1510.04214&json=true","fetch_graph":"https://pith.science/api/pith-number/IMICSD6A3MGS6CLK6T433HOEGV/graph.json","fetch_events":"https://pith.science/api/pith-number/IMICSD6A3MGS6CLK6T433HOEGV/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/IMICSD6A3MGS6CLK6T433HOEGV/action/timestamp_anchor","attest_storage":"https://pith.science/pith/IMICSD6A3MGS6CLK6T433HOEGV/action/storage_attestation","attest_author":"https://pith.science/pith/IMICSD6A3MGS6CLK6T433HOEGV/action/author_attestation","sign_citation":"https://pith.science/pith/IMICSD6A3MGS6CLK6T433HOEGV/action/citation_signature","submit_replication":"https://pith.science/pith/IMICSD6A3MGS6CLK6T433HOEGV/action/replication_record"}},"created_at":"2026-05-18T00:42:39.670943+00:00","updated_at":"2026-05-18T00:42:39.670943+00:00"}