{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:LARXFAI75CWKPFWPCMI5UJ3NBR","short_pith_number":"pith:LARXFAI7","schema_version":"1.0","canonical_sha256":"582372811fe8aca796cf1311da276d0c55fb70df1b541f0d098de55437722cb0","source":{"kind":"arxiv","id":"1411.7632","version":3},"attestation_state":"computed","paper":{"title":"Semidefinite Programming Approach to Gaussian Sequential Rate-Distortion Trade-offs","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.IT","math.IT"],"primary_cat":"math.OC","authors_text":"Kwang-Ki K. Kim, Pablo A. Parrilo, Sanjoy K. Mitter, Takashi Tanaka","submitted_at":"2014-11-27T15:50:47Z","abstract_excerpt":"Sequential rate-distortion (SRD) theory provides a framework for studying the fundamental trade-off between data-rate and data-quality in real-time communication systems. In this paper, we consider the SRD problem for multi-dimensional time-varying Gauss-Markov processes under mean-square distortion criteria. We first revisit the sensor-estimator separation principle, which asserts that considered SRD problem is equivalent to a joint sensor and estimator design problem in which data-rate of the sensor output is minimized while the estimator's performance satisfies the distortion criteria. We t"},"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":"1411.7632","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2014-11-27T15:50:47Z","cross_cats_sorted":["cs.IT","math.IT"],"title_canon_sha256":"efbedcefe9a91319b05fab47df2f6aced3a03323b54603db77f90bde1a5132bc","abstract_canon_sha256":"c121b30f166a7a31e94a9664fe9226b13942c450094ac074a96292d12a6b7113"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:26:09.103570Z","signature_b64":"EFVEWvi758uWDjwZ31Jsf7qF9xT01DG4PFQwmOc/Bi9pvv/T7aIGab+3PEsCut1xYfO5etrGUHgWcdEbwERjAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"582372811fe8aca796cf1311da276d0c55fb70df1b541f0d098de55437722cb0","last_reissued_at":"2026-05-18T00:26:09.103099Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:26:09.103099Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Semidefinite Programming Approach to Gaussian Sequential Rate-Distortion Trade-offs","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.IT","math.IT"],"primary_cat":"math.OC","authors_text":"Kwang-Ki K. Kim, Pablo A. Parrilo, Sanjoy K. Mitter, Takashi Tanaka","submitted_at":"2014-11-27T15:50:47Z","abstract_excerpt":"Sequential rate-distortion (SRD) theory provides a framework for studying the fundamental trade-off between data-rate and data-quality in real-time communication systems. In this paper, we consider the SRD problem for multi-dimensional time-varying Gauss-Markov processes under mean-square distortion criteria. We first revisit the sensor-estimator separation principle, which asserts that considered SRD problem is equivalent to a joint sensor and estimator design problem in which data-rate of the sensor output is minimized while the estimator's performance satisfies the distortion criteria. We t"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1411.7632","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":"1411.7632","created_at":"2026-05-18T00:26:09.103164+00:00"},{"alias_kind":"arxiv_version","alias_value":"1411.7632v3","created_at":"2026-05-18T00:26:09.103164+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1411.7632","created_at":"2026-05-18T00:26:09.103164+00:00"},{"alias_kind":"pith_short_12","alias_value":"LARXFAI75CWK","created_at":"2026-05-18T12:28:35.611951+00:00"},{"alias_kind":"pith_short_16","alias_value":"LARXFAI75CWKPFWP","created_at":"2026-05-18T12:28:35.611951+00:00"},{"alias_kind":"pith_short_8","alias_value":"LARXFAI7","created_at":"2026-05-18T12:28:35.611951+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/LARXFAI75CWKPFWPCMI5UJ3NBR","json":"https://pith.science/pith/LARXFAI75CWKPFWPCMI5UJ3NBR.json","graph_json":"https://pith.science/api/pith-number/LARXFAI75CWKPFWPCMI5UJ3NBR/graph.json","events_json":"https://pith.science/api/pith-number/LARXFAI75CWKPFWPCMI5UJ3NBR/events.json","paper":"https://pith.science/paper/LARXFAI7"},"agent_actions":{"view_html":"https://pith.science/pith/LARXFAI75CWKPFWPCMI5UJ3NBR","download_json":"https://pith.science/pith/LARXFAI75CWKPFWPCMI5UJ3NBR.json","view_paper":"https://pith.science/paper/LARXFAI7","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1411.7632&json=true","fetch_graph":"https://pith.science/api/pith-number/LARXFAI75CWKPFWPCMI5UJ3NBR/graph.json","fetch_events":"https://pith.science/api/pith-number/LARXFAI75CWKPFWPCMI5UJ3NBR/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/LARXFAI75CWKPFWPCMI5UJ3NBR/action/timestamp_anchor","attest_storage":"https://pith.science/pith/LARXFAI75CWKPFWPCMI5UJ3NBR/action/storage_attestation","attest_author":"https://pith.science/pith/LARXFAI75CWKPFWPCMI5UJ3NBR/action/author_attestation","sign_citation":"https://pith.science/pith/LARXFAI75CWKPFWPCMI5UJ3NBR/action/citation_signature","submit_replication":"https://pith.science/pith/LARXFAI75CWKPFWPCMI5UJ3NBR/action/replication_record"}},"created_at":"2026-05-18T00:26:09.103164+00:00","updated_at":"2026-05-18T00:26:09.103164+00:00"}