{"as_of":"2026-08-08T10:18:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:02ed6d04f933eae062879802edd513c9c1c11501896171fd6d5f67a88e017d14","coverage":[{"denominator":30,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":30,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-06T18:20:57.362845Z","state":"measured"},{"denominator":32,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":32,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-08T06:32:00.761636+00:00","state":"measured"},{"denominator":2,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":2,"source":"paper_references, paper_reference_links","source_observed_at":"2026-06-27T09:58:20.309479Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"arxiv_reference","source_observed_at":"2026-07-03T10:27:56.988941Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2507.09026","last_updated":"2025-07-11T21:19:47Z","snapshot_observed_at":"2026-08-06T18:03:41.578264Z","submitted_at":"2025-07-11T21:19:47Z","title":"On the Gradient Domination of the LQG Problem","version":1},"cited_work":{"arxiv_id":"2507.09026","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2507.09026","snapshot_observed_at":"2026-07-03T10:27:56.988941Z","title":"On the Gradient Domination of the LQG Problem","venue":null,"work_id":"9d9ec345-6801-4f75-982a-0ae20304d330","year":2025},"citing_paper":{"arxiv_id":"2604.16730","last_updated":"2026-04-17T22:25:00Z","snapshot_observed_at":"2026-07-31T07:35:19.162172Z","submitted_at":"2026-04-17T22:25:00Z","title":"Multitask LQG Control: Performance and Generalization Bounds","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-05-10T07:34:29.215557Z"},"links":{"cited_paper":"/paper/2507.09026","citing_paper":"/paper/2604.16730"},"observation_digest":"sha256:c57dea2131092c54e7ef5943509e692e1571d58ca5b126a73ea1ccd2018c77f8","observation_id":"29136410-42ff-49f6-afeb-3cdfe9942ded","resolution":{"observed_at":"2026-05-10T07:37:04.713634Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2507.09026","last_updated":"2025-07-11T21:19:47Z","snapshot_observed_at":"2026-08-06T18:03:41.578264Z","submitted_at":"2025-07-11T21:19:47Z","title":"On the Gradient Domination of the LQG Problem","version":1},"cited_work":{"arxiv_id":"2507.09026","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2507.09026","snapshot_observed_at":"2026-07-03T10:27:56.988941Z","title":"On the Gradient Domination of the LQG Problem","venue":null,"work_id":"9d9ec345-6801-4f75-982a-0ae20304d330","year":2025},"citing_paper":{"arxiv_id":"2606.12691","last_updated":"2026-06-10T21:25:16Z","snapshot_observed_at":"2026-08-08T02:40:44.907572Z","submitted_at":"2026-06-10T21:25:16Z","title":"Two-Layer Linear Auto-Regressive Models Estimate Latent States","version":1},"reference_index":8,"source":"arxiv_source","source_observed_at":"2026-06-27T09:58:20.309479Z"},"links":{"cited_paper":"/paper/2507.09026","citing_paper":"/paper/2606.12691"},"observation_digest":"sha256:a395f38e5353fd4cd78079a07504274c20e916ce17c91e594363db4692ce2072","observation_id":"511ac100-ed45-4aff-a7f9-1b3c689c0baf","resolution":{"observed_at":"2026-07-03T10:27:56.990591Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2507.09026/citation-record","integrity":"/paper/2507.09026/integrity","json":"/paper/2507.09026/citation-record.json","paper":"/paper/2507.09026"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T18:20:58.463495Z","title":"Policy gradient methods for reinforcement learning with function approximation,","venue":null,"work_id":"d9f39855-6a35-4885-835d-f20a5b270bcf","year":1999},"citing_paper":{"arxiv_id":"2507.09026","last_updated":"2025-07-11T21:19:47Z","snapshot_observed_at":"2026-08-06T18:03:41.578264Z","submitted_at":"2025-07-11T21:19:47Z","title":"On the Gradient Domination of the LQG Problem","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-06T18:20:57.050828Z"},"links":{"citing_paper":"/paper/2507.09026"},"observation_digest":"sha256:1dcc560560e4918965a1bce0e51515c74d487465bee6037a74d67d478c6905d3","observation_id":"20dd2440-df1e-4dfb-ad45-c754e3b0aee8","resolution":{"observed_at":"2026-08-06T18:20:58.475693Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T18:20:58.425416Z","title":"Global convergence of policy gradient methods for the linear quadratic regulator,","venue":null,"work_id":"e40803ae-9df1-4b37-ad28-8d87fa7c0b7f","year":2018},"citing_paper":{"arxiv_id":"2507.09026","last_updated":"2025-07-11T21:19:47Z","snapshot_observed_at":"2026-08-06T18:03:41.578264Z","submitted_at":"2025-07-11T21:19:47Z","title":"On the Gradient Domination of the LQG Problem","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-06T18:20:57.059637Z"},"links":{"citing_paper":"/paper/2507.09026"},"observation_digest":"sha256:8d369380b26f3d6e2a227da4e5ae281af070dd6bdb5bd9f136ddd584169ce61c","observation_id":"c64ca0d2-5256-48e7-9030-a933e6fdaf62","resolution":{"observed_at":"2026-08-06T18:20:58.437041Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T18:20:58.396611Z","title":"Gradient methods for minimizing functionals,","venue":null,"work_id":"cad715fe-9960-4d04-93c9-3989aae780eb","year":1963},"citing_paper":{"arxiv_id":"2507.09026","last_updated":"2025-07-11T21:19:47Z","snapshot_observed_at":"2026-08-06T18:03:41.578264Z","submitted_at":"2025-07-11T21:19:47Z","title":"On the Gradient Domination of the LQG Problem","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-06T18:20:57.066582Z"},"links":{"citing_paper":"/paper/2507.09026"},"observation_digest":"sha256:407121d5742fc3f54cfbd8d23f720329bd8f37ff931830e1ff900068d9e40943","observation_id":"6a0d64cd-fa73-4561-970a-694932e44866","resolution":{"observed_at":"2026-08-06T18:20:58.407843Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T18:20:58.366331Z","title":"On the linear convergence of random search for discrete-time LQR,","venue":null,"work_id":"3ed7e281-5d73-422e-8257-dfa79b42cfcf","year":2020},"citing_paper":{"arxiv_id":"2507.09026","last_updated":"2025-07-11T21:19:47Z","snapshot_observed_at":"2026-08-06T18:03:41.578264Z","submitted_at":"2025-07-11T21:19:47Z","title":"On the Gradient Domination of the LQG Problem","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-06T18:20:57.073732Z"},"links":{"citing_paper":"/paper/2507.09026"},"observation_digest":"sha256:f061bc98ccb3f3725f0229dd4beb141f8c7b20df276a281c44ede9d13976f02e","observation_id":"b538a826-711c-4f11-8c31-8c23cc3fe5f7","resolution":{"observed_at":"2026-08-06T18:20:58.373854Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T18:20:58.338941Z","title":"Toward a theoretical foundation of policy optimization for learning control policies,","venue":null,"work_id":"b4fbb939-7f3e-413c-929f-97b54463db31","year":2023},"citing_paper":{"arxiv_id":"2507.09026","last_updated":"2025-07-11T21:19:47Z","snapshot_observed_at":"2026-08-06T18:03:41.578264Z","submitted_at":"2025-07-11T21:19:47Z","title":"On the Gradient Domination of the LQG Problem","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-06T18:20:57.086028Z"},"links":{"citing_paper":"/paper/2507.09026"},"observation_digest":"sha256:8bc58ceb0a08fd8429415058e36683cad483662ac3d009c1da6d6ce8d043a6bd","observation_id":"b9ce5783-4151-4c17-bbf4-a16a63ec3c88","resolution":{"observed_at":"2026-08-06T18:20:58.344660Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T18:20:58.292817Z","title":"Policy optimization for H2 linear control with H∞ robustness guarantee: Implicit regularization and global convergence,","venue":null,"work_id":"1798debd-661e-4752-8d84-60f6ea309e06","year":2020},"citing_paper":{"arxiv_id":"2507.09026","last_updated":"2025-07-11T21:19:47Z","snapshot_observed_at":"2026-08-06T18:03:41.578264Z","submitted_at":"2025-07-11T21:19:47Z","title":"On the Gradient Domination of the LQG Problem","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-06T18:20:57.099048Z"},"links":{"citing_paper":"/paper/2507.09026"},"observation_digest":"sha256:bb37907de094848101527a6c73653f199f26928cab11a8b56a565d76fe4b1937","observation_id":"75047d35-46da-46c6-9503-c11a917970da","resolution":{"observed_at":"2026-08-06T18:20:58.307247Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2308.11743","last_updated":"2023-08-22T19:09:29Z","snapshot_observed_at":"2026-07-06T16:09:16.990194Z","submitted_at":"2023-08-22T19:09:29Z","title":"Model-free Learning with Heterogeneous Dynamical Systems: A Federated LQR Approach","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2308.11743","snapshot_observed_at":"2026-08-06T18:20:57.109819Z","title":"Model-free Learning with Heterogeneous Dynamical Systems: A Federated LQR Approach,","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2507.09026","last_updated":"2025-07-11T21:19:47Z","snapshot_observed_at":"2026-08-06T18:03:41.578264Z","submitted_at":"2025-07-11T21:19:47Z","title":"On the Gradient Domination of the LQG Problem","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-06T18:20:57.109819Z"},"links":{"cited_paper":"/paper/2308.11743","citing_paper":"/paper/2507.09026"},"observation_digest":"sha256:3b99a85aa370ae6ed0cfdb3d085c17143f7f402285df35749b9ae5222c44943b","observation_id":"fb54abb1-e96f-433b-8e17-89364af7bf2a","resolution":{"observed_at":"2026-08-06T18:20:57.109819Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2310.01362","last_updated":"2024-02-23T03:51:51Z","snapshot_observed_at":"2026-08-05T13:25:11.144624Z","submitted_at":"2023-10-02T17:23:51Z","title":"Robot Fleet Learning via Policy Merging","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2310.01362","snapshot_observed_at":"2026-08-06T18:20:57.122192Z","title":"Robot fleet learning via policy merging,","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2507.09026","last_updated":"2025-07-11T21:19:47Z","snapshot_observed_at":"2026-08-06T18:03:41.578264Z","submitted_at":"2025-07-11T21:19:47Z","title":"On the Gradient Domination of the LQG Problem","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-06T18:20:57.122192Z"},"links":{"cited_paper":"/paper/2310.01362","citing_paper":"/paper/2507.09026"},"observation_digest":"sha256:eac1cb0581a13c161ba680a8fd40238faed67d4a10925736fdd0854714868fc2","observation_id":"0404f2ec-4551-4210-8d82-c4ff0ee8eb10","resolution":{"observed_at":"2026-08-06T18:20:57.122192Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T18:20:58.242797Z","title":"Meta-learning linear quadratic regulators: A policy gradient MAML approach for model-free LQR,","venue":null,"work_id":"1af2b9e6-e51c-400f-8d5a-208c65c156bc","year":2024},"citing_paper":{"arxiv_id":"2507.09026","last_updated":"2025-07-11T21:19:47Z","snapshot_observed_at":"2026-08-06T18:03:41.578264Z","submitted_at":"2025-07-11T21:19:47Z","title":"On the Gradient Domination of the LQG Problem","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-06T18:20:57.134798Z"},"links":{"citing_paper":"/paper/2507.09026"},"observation_digest":"sha256:4e0b4a828ae1352aaa1f6f6d8f5a4ce36e3f4a4e4c31df85005e19effcefb63c","observation_id":"6c8a69c6-d903-4a77-8f29-6f2bf66e68e9","resolution":{"observed_at":"2026-08-06T18:20:58.263071Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2502.02332","last_updated":"2025-04-11T18:06:15Z","snapshot_observed_at":"2026-08-01T12:31:15.134485Z","submitted_at":"2025-02-04T14:09:00Z","title":"Coreset-Based Task Selection for Sample-Efficient Meta-Reinforcement Learning","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2502.02332","snapshot_observed_at":"2026-08-06T18:20:57.142267Z","title":"Coreset-Based Task Selection for Sample-Efficient Meta-Reinforcement Learning,","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2507.09026","last_updated":"2025-07-11T21:19:47Z","snapshot_observed_at":"2026-08-06T18:03:41.578264Z","submitted_at":"2025-07-11T21:19:47Z","title":"On the Gradient Domination of the LQG Problem","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-06T18:20:57.142267Z"},"links":{"cited_paper":"/paper/2502.02332","citing_paper":"/paper/2507.09026"},"observation_digest":"sha256:37feaab77b8442ea4398d64ac3f91609fe6b17c8fbefd0d57854e8eb681f4f2b","observation_id":"f129d589-0c70-4fce-9cee-63627b49746a","resolution":{"observed_at":"2026-08-06T18:20:57.142267Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T18:20:58.206394Z","title":"On the Convergence of Policy Gradient for Designing a Linear Quadratic Regulator by Leveraging a Proxy System,","venue":null,"work_id":"f770d045-898d-4a82-afff-0907ed50533e","year":2024},"citing_paper":{"arxiv_id":"2507.09026","last_updated":"2025-07-11T21:19:47Z","snapshot_observed_at":"2026-08-06T18:03:41.578264Z","submitted_at":"2025-07-11T21:19:47Z","title":"On the Gradient Domination of the LQG Problem","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-06T18:20:57.151500Z"},"links":{"citing_paper":"/paper/2507.09026"},"observation_digest":"sha256:1a035c33207a9d3e579b16e35b18c5e2bb5b77feef9ef5ecd0fe5a18b6494171","observation_id":"b2d8965b-cbf0-4dd8-8278-e14af4ff2cce","resolution":{"observed_at":"2026-08-06T18:20:58.221606Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T18:20:58.172969Z","title":"Globally convergent policy gradient methods for linear quadratic control of partially observed systems,","venue":null,"work_id":"127cc174-bb8f-44c1-93ad-121821c4aab0","year":2023},"citing_paper":{"arxiv_id":"2507.09026","last_updated":"2025-07-11T21:19:47Z","snapshot_observed_at":"2026-08-06T18:03:41.578264Z","submitted_at":"2025-07-11T21:19:47Z","title":"On the Gradient Domination of the LQG Problem","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-06T18:20:57.159760Z"},"links":{"citing_paper":"/paper/2507.09026"},"observation_digest":"sha256:297e52cba7460813506bd5b4aee9a3bc878abfb45357dedfd7c822b4f68f5383","observation_id":"fde2d63b-ac49-4e84-b2ae-bdef3d0d896c","resolution":{"observed_at":"2026-08-06T18:20:58.186606Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T18:20:58.141175Z","title":"On the lack of gradient domination for linear quadratic Gaussian problems with incomplete state information,","venue":null,"work_id":"9686112e-d60a-4c17-878c-e28ade9721d2","year":2021},"citing_paper":{"arxiv_id":"2507.09026","last_updated":"2025-07-11T21:19:47Z","snapshot_observed_at":"2026-08-06T18:03:41.578264Z","submitted_at":"2025-07-11T21:19:47Z","title":"On the Gradient Domination of the LQG Problem","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-06T18:20:57.170227Z"},"links":{"citing_paper":"/paper/2507.09026"},"observation_digest":"sha256:c02fb9ba7d8ef6899a8a131485b96b8ae5a7d8ac79ebd1653fc56bfc0e1d783c","observation_id":"a4712932-dafc-4ba1-82e8-b6024a3d90dd","resolution":{"observed_at":"2026-08-06T18:20:58.150003Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T18:20:58.101891Z","title":"Analysis of the optimization landscape of linear quadratic Gaussian (LQG) control,","venue":null,"work_id":"5683134c-dfdb-42e0-a41c-501793e5ed95","year":2023},"citing_paper":{"arxiv_id":"2507.09026","last_updated":"2025-07-11T21:19:47Z","snapshot_observed_at":"2026-08-06T18:03:41.578264Z","submitted_at":"2025-07-11T21:19:47Z","title":"On the Gradient Domination of the LQG Problem","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-06T18:20:57.182980Z"},"links":{"citing_paper":"/paper/2507.09026"},"observation_digest":"sha256:6ac9eefa3278a0564e9a835e127faba5ccbf1db306762cbc6c934aa0d91801e4","observation_id":"abf11ceb-e75a-4b74-b6cc-36a1d811c6bd","resolution":{"observed_at":"2026-08-06T18:20:58.119418Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T18:20:58.064614Z","title":"Behavioral feedback for optimal LQG control,","venue":null,"work_id":"b3513fc9-e712-419f-a4d8-d437d7e79cea","year":2022},"citing_paper":{"arxiv_id":"2507.09026","last_updated":"2025-07-11T21:19:47Z","snapshot_observed_at":"2026-08-06T18:03:41.578264Z","submitted_at":"2025-07-11T21:19:47Z","title":"On the Gradient Domination of the LQG Problem","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-06T18:20:57.192550Z"},"links":{"citing_paper":"/paper/2507.09026"},"observation_digest":"sha256:d0785f54c0e219008ccb0bc25b7e85641d6df6155c78526d187eb4782fae72a7","observation_id":"76df692f-d692-4468-897d-8ed9dd92f904","resolution":{"observed_at":"2026-08-06T18:20:58.074014Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T18:20:58.039737Z","title":"Imitation and transfer learning for LQG control,","venue":null,"work_id":"74398939-07d8-44d9-aca4-2acb6f64a954","year":2023},"citing_paper":{"arxiv_id":"2507.09026","last_updated":"2025-07-11T21:19:47Z","snapshot_observed_at":"2026-08-06T18:03:41.578264Z","submitted_at":"2025-07-11T21:19:47Z","title":"On the Gradient Domination of the LQG Problem","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-06T18:20:57.201746Z"},"links":{"citing_paper":"/paper/2507.09026"},"observation_digest":"sha256:c5427a9c15a41f429aa41dd80e912449a17d47b31b69803a5ed37e4ffc9bb1c2","observation_id":"c11b3a31-a3b1-41cd-a389-302f98f1354f","resolution":{"observed_at":"2026-08-06T18:20:58.046474Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T18:20:58.015232Z","title":"The data-based LQG control problem,","venue":null,"work_id":"c7c46f68-24b5-496d-96a5-3595d830eda9","year":1994},"citing_paper":{"arxiv_id":"2507.09026","last_updated":"2025-07-11T21:19:47Z","snapshot_observed_at":"2026-08-06T18:03:41.578264Z","submitted_at":"2025-07-11T21:19:47Z","title":"On the Gradient Domination of the LQG Problem","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-06T18:20:57.212811Z"},"links":{"citing_paper":"/paper/2507.09026"},"observation_digest":"sha256:96da6c47b682dd21f4f9959c5bb350ef3a57adb0cbb43076e45c058f7017fb0b","observation_id":"fb049bcc-53cc-4987-a4f4-b8c63fb2cfdf","resolution":{"observed_at":"2026-08-06T18:20:58.024365Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T18:20:57.977168Z","title":null,"venue":null,"work_id":"ab6492da-4e78-4eab-8019-46ac27cd025b","year":1996},"citing_paper":{"arxiv_id":"2507.09026","last_updated":"2025-07-11T21:19:47Z","snapshot_observed_at":"2026-08-06T18:03:41.578264Z","submitted_at":"2025-07-11T21:19:47Z","title":"On the Gradient Domination of the LQG Problem","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-06T18:20:57.228084Z"},"links":{"citing_paper":"/paper/2507.09026"},"observation_digest":"sha256:b5195eb2996bdbb5b923a2be4024e3916739ec54d4a15750a368643acd92f273","observation_id":"49042bde-3c1e-4a8d-a136-bf7234a57d0c","resolution":{"observed_at":"2026-08-06T18:20:57.988795Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T18:20:57.948796Z","title":"Escaping high-order saddles in policy optimization for linear quadratic Gaussian control,","venue":null,"work_id":"18aacc55-9317-4500-ba4e-e03589fff50e","year":2022},"citing_paper":{"arxiv_id":"2507.09026","last_updated":"2025-07-11T21:19:47Z","snapshot_observed_at":"2026-08-06T18:03:41.578264Z","submitted_at":"2025-07-11T21:19:47Z","title":"On the Gradient Domination of the LQG Problem","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-06T18:20:57.236553Z"},"links":{"citing_paper":"/paper/2507.09026"},"observation_digest":"sha256:58d04000c4edefa7d489a2b6050d65c3a647e3f90db235e407d3cefc67bd2d50","observation_id":"5aba3b42-6109-4b3a-b2fd-9917bf793d70","resolution":{"observed_at":"2026-08-06T18:20:57.957431Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T18:20:57.918396Z","title":"Data-Driven Policy Gradient Method for Optimal Output Feedback Control of LQR,","venue":null,"work_id":"6e9c220b-6ccf-4841-bb37-bf18cd9d5de9","year":2024},"citing_paper":{"arxiv_id":"2507.09026","last_updated":"2025-07-11T21:19:47Z","snapshot_observed_at":"2026-08-06T18:03:41.578264Z","submitted_at":"2025-07-11T21:19:47Z","title":"On the Gradient Domination of the LQG Problem","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-06T18:20:57.245689Z"},"links":{"citing_paper":"/paper/2507.09026"},"observation_digest":"sha256:dd175524ee056afded94e376cccaa2250ab72de000cb609c43d05ab75600e720","observation_id":"62594370-876c-415c-972f-b4fa2805752b","resolution":{"observed_at":"2026-08-06T18:20:57.927882Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T18:20:57.889823Z","title":"How are policy gradient methods affected by the limits of control?","venue":null,"work_id":"a4b0ed1d-cc15-48b2-b161-261d0046bfcf","year":2022},"citing_paper":{"arxiv_id":"2507.09026","last_updated":"2025-07-11T21:19:47Z","snapshot_observed_at":"2026-08-06T18:03:41.578264Z","submitted_at":"2025-07-11T21:19:47Z","title":"On the Gradient Domination of the LQG Problem","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-06T18:20:57.256125Z"},"links":{"citing_paper":"/paper/2507.09026"},"observation_digest":"sha256:b72104cd248cec48a31c8098dba58173fbd40753c53ac8fc2d143b2646f16b67","observation_id":"d1dc6f3c-8f51-4203-b1bb-5122bccd34ef","resolution":{"observed_at":"2026-08-06T18:20:57.897984Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T18:20:57.865627Z","title":"Learning optimal controllers for linear systems with multiplicative noise via policy gradient,","venue":null,"work_id":"06917b48-9f52-4601-89ce-022db2c21ce7","year":2020},"citing_paper":{"arxiv_id":"2507.09026","last_updated":"2025-07-11T21:19:47Z","snapshot_observed_at":"2026-08-06T18:03:41.578264Z","submitted_at":"2025-07-11T21:19:47Z","title":"On the Gradient Domination of the LQG Problem","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-06T18:20:57.272878Z"},"links":{"citing_paper":"/paper/2507.09026"},"observation_digest":"sha256:cc4797febf346da1dde73c74a5c7805889708dcef30fa685f125c8666113ae4a","observation_id":"c51d4dc3-56fd-4911-9ac8-a1e88091116c","resolution":{"observed_at":"2026-08-06T18:20:57.873085Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T18:20:57.836063Z","title":"Oracle complexity reduction for model-free LQR: A stochastic variance-reduced policy gradient approach,","venue":null,"work_id":"bb512d23-cc0c-437f-8914-4531ba75ff3f","year":2024},"citing_paper":{"arxiv_id":"2507.09026","last_updated":"2025-07-11T21:19:47Z","snapshot_observed_at":"2026-08-06T18:03:41.578264Z","submitted_at":"2025-07-11T21:19:47Z","title":"On the Gradient Domination of the LQG Problem","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-06T18:20:57.281214Z"},"links":{"citing_paper":"/paper/2507.09026"},"observation_digest":"sha256:51cf592d191924f0856a920a360e4a6fa7c61ecba448bcb60e7b14f0376eec04","observation_id":"66e1eeea-4eeb-4ed3-b075-a755fe698623","resolution":{"observed_at":"2026-08-06T18:20:57.844049Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T18:20:57.803993Z","title":"Computing stabilizing linear controllers via policy iteration,","venue":null,"work_id":"378e3056-9946-45dc-99ae-11f7866646c1","year":2020},"citing_paper":{"arxiv_id":"2507.09026","last_updated":"2025-07-11T21:19:47Z","snapshot_observed_at":"2026-08-06T18:03:41.578264Z","submitted_at":"2025-07-11T21:19:47Z","title":"On the Gradient Domination of the LQG Problem","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-06T18:20:57.288961Z"},"links":{"citing_paper":"/paper/2507.09026"},"observation_digest":"sha256:47d165139bd78440ef9ce37f2f3bc34541a9c7004525a623cf3a24a63a2694b8","observation_id":"faa2fa11-3d7b-4388-89c7-49b1080a641f","resolution":{"observed_at":"2026-08-06T18:20:57.813113Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T18:20:57.755016Z","title":"Stabilizing dynamical systems via policy gradient methods,","venue":null,"work_id":"f6d656c8-6bc8-43c4-9afb-7a9893afb91e","year":2021},"citing_paper":{"arxiv_id":"2507.09026","last_updated":"2025-07-11T21:19:47Z","snapshot_observed_at":"2026-08-06T18:03:41.578264Z","submitted_at":"2025-07-11T21:19:47Z","title":"On the Gradient Domination of the LQG Problem","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-06T18:20:57.296038Z"},"links":{"citing_paper":"/paper/2507.09026"},"observation_digest":"sha256:060451e67bd39e4e0f07c0e0e63cb067a1f1709114c740759109e9829f474de0","observation_id":"66b9ce1e-0f3b-40eb-a1cf-f3570417d5d7","resolution":{"observed_at":"2026-08-06T18:20:57.778133Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T18:20:57.724404Z","title":"Convergence and sample complexity of policy gradient methods for stabilizing linear systems,","venue":null,"work_id":"334f422a-4a4c-41f9-be82-a8c0f37296b8","year":2024},"citing_paper":{"arxiv_id":"2507.09026","last_updated":"2025-07-11T21:19:47Z","snapshot_observed_at":"2026-08-06T18:03:41.578264Z","submitted_at":"2025-07-11T21:19:47Z","title":"On the Gradient Domination of the LQG Problem","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-06T18:20:57.302928Z"},"links":{"citing_paper":"/paper/2507.09026"},"observation_digest":"sha256:27c616a9dc2433e377b71296e3cf31cda43eab135ed89c7870a4a01caa039230","observation_id":"89aaff0c-cdfe-4006-8514-55ce4574c522","resolution":{"observed_at":"2026-08-06T18:20:57.734570Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2505.01348","last_updated":"2025-05-02T15:34:36Z","snapshot_observed_at":"2026-08-07T15:57:01.212146Z","submitted_at":"2025-05-02T15:34:36Z","title":"Learning Stabilizing Policies via an Unstable Subspace Representation","version":1},"cited_work":{"arxiv_id":"2505.01348","doi":null,"metadata_source":"pith","pith_arxiv_id":"2505.01348","snapshot_observed_at":"2026-08-06T18:20:57.467136Z","title":"Learning Stabilizing Policies via an Unstable Subspace Representation","venue":"cs.LG","work_id":"e0aaee2c-4485-4f74-b423-90a676c29c83","year":2025},"citing_paper":{"arxiv_id":"2507.09026","last_updated":"2025-07-11T21:19:47Z","snapshot_observed_at":"2026-08-06T18:03:41.578264Z","submitted_at":"2025-07-11T21:19:47Z","title":"On the Gradient Domination of the LQG Problem","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-06T18:20:57.316211Z"},"links":{"cited_paper":"/paper/2505.01348","citing_paper":"/paper/2507.09026"},"observation_digest":"sha256:cf14f62b2b466540a4568529d1a4bcdb9f22c29a3dd78fbcef5b823cddd31050","observation_id":"d9808ca7-2cab-4c20-b125-326a989a907d","resolution":{"observed_at":"2026-08-06T18:20:57.482043Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T18:20:57.693670Z","title":"Derivative-free methods for policy optimization: Guarantees for linear quadratic systems,","venue":null,"work_id":"1dafb33b-26cd-4634-89f5-9687dea102a7","year":2020},"citing_paper":{"arxiv_id":"2507.09026","last_updated":"2025-07-11T21:19:47Z","snapshot_observed_at":"2026-08-06T18:03:41.578264Z","submitted_at":"2025-07-11T21:19:47Z","title":"On the Gradient Domination of the LQG Problem","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-06T18:20:57.337896Z"},"links":{"citing_paper":"/paper/2507.09026"},"observation_digest":"sha256:3ced1e195e6b0c25d1dda18122ff874625108209f9392c2c53bcb2faaca08933","observation_id":"8f8ec5e0-5dbe-4cb1-9111-03c021869f90","resolution":{"observed_at":"2026-08-06T18:20:57.700973Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T18:20:57.664877Z","title":"Random gradient-free minimization of convex functions,","venue":null,"work_id":"afb462e7-b0ee-4de0-9c80-982cd3aee006","year":2017},"citing_paper":{"arxiv_id":"2507.09026","last_updated":"2025-07-11T21:19:47Z","snapshot_observed_at":"2026-08-06T18:03:41.578264Z","submitted_at":"2025-07-11T21:19:47Z","title":"On the Gradient Domination of the LQG Problem","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-06T18:20:57.353648Z"},"links":{"citing_paper":"/paper/2507.09026"},"observation_digest":"sha256:6d59f3316b7abdaac2ca0dcda0a1e139e0eb57777b2caac2834988e406dc97f3","observation_id":"09115386-a42f-45da-8acc-6640b73d6351","resolution":{"observed_at":"2026-08-06T18:20:57.673678Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T18:20:57.632157Z","title":"Vershynin, High-dimensional probability: An introduction with applications in data science","venue":null,"work_id":"f665da12-6749-4208-9769-7e1d706e213b","year":2018},"citing_paper":{"arxiv_id":"2507.09026","last_updated":"2025-07-11T21:19:47Z","snapshot_observed_at":"2026-08-06T18:03:41.578264Z","submitted_at":"2025-07-11T21:19:47Z","title":"On the Gradient Domination of the LQG Problem","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-06T18:20:57.362845Z"},"links":{"citing_paper":"/paper/2507.09026"},"observation_digest":"sha256:1b0abb2120b84ec270698336442fec13575f07789f61c376af63840c81ab5fc4","observation_id":"25008113-fc55-4363-99ef-0d9cc930aba8","resolution":{"observed_at":"2026-08-06T18:20:57.647013Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2507.09026","last_updated":"2025-07-11T21:19:47Z","latest_version":1,"primary_category":"math.OC","snapshot_observed_at":"2026-08-06T18:03:41.578264Z","submitted_at":"2025-07-11T21:19:47Z","title":"On the Gradient Domination of the LQG Problem"},"reference_resolution":{"displayed":30,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":4,"verified_exact":1,"verified_fuzzy":25},"total_outbound_references":30},"refusal":"A citation records a reference. It does not transfer a finding from one paper to another.","schema":"pith.paper-citation-record.v1","standing_sources":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"thesis":"As of 8 August 2026, this Paper Citation Record lists 30 of 30 outbound references and 2 inbound Pith citation observations for arXiv:2507.09026."}