{"as_of":"2026-08-07T19:33:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:00caa77828d36a5981cf017614044638ce248cf7cd63fb218dd005c93d1fe194","coverage":[{"denominator":53,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":53,"source":"paper_references, paper_reference_links","source_observed_at":"2026-05-24T20:05:33.604535Z","state":"measured"},{"denominator":53,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":53,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-07T06:34:17.273281+00:00","state":"measured"},{"denominator":0,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"cited_works","source_observed_at":null,"state":"measured"}],"external_citation_measurements":[],"inbound":[],"links":{"evidence":"/evidence","html":"/paper/1907.07852/citation-record","integrity":"/paper/1907.07852/integrity","json":"/paper/1907.07852/citation-record.json","paper":"/paper/1907.07852"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Convex optimizati on for big data: Scalable, randomized, and parallel algorit hms for big data analytics","venue":null,"work_id":"22a3f277-6365-449a-9261-3bb5bd936e10","year":2014},"citing_paper":{"arxiv_id":"1907.07852","last_updated":"2019-07-18T03:05:12Z","snapshot_observed_at":"2026-08-01T19:48:27.656888Z","submitted_at":"2019-07-18T03:05:12Z","title":"Geometric Convergence for Distributed Optimization with Barzilai-Borwein Step Sizes","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-05-24T20:05:33.604535Z"},"links":{"citing_paper":"/paper/1907.07852"},"observation_digest":"sha256:d4be2bd7a4262cccdd53edaa73723bab91464dd16944325cec61ec095de03950","observation_id":"015df487-3977-4a3e-b29e-337d43ee2b2e","resolution":{"observed_at":"2026-05-24T20:06:21.105086Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-06-05T21:23:00.469572Z","title":"D istributed optimization and statistical learning via the a lternating direction method of multipliers","venue":null,"work_id":"6d60a45d-7246-4295-b924-da1f0a0f7e66","year":2011},"citing_paper":{"arxiv_id":"1907.07852","last_updated":"2019-07-18T03:05:12Z","snapshot_observed_at":"2026-08-01T19:48:27.656888Z","submitted_at":"2019-07-18T03:05:12Z","title":"Geometric Convergence for Distributed Optimization with Barzilai-Borwein Step Sizes","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-05-24T20:05:33.604535Z"},"links":{"citing_paper":"/paper/1907.07852"},"observation_digest":"sha256:c8f564d93c75bd3e595a5c5bc1694c3bb4e7089e267604c28bddcd30a108f28e","observation_id":"8171a0ea-abd9-4c52-b3ab-27bf1d66a053","resolution":{"observed_at":"2026-05-24T20:06:21.115081Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-06-05T21:23:00.469572Z","title":"Application of a smoothi ng technique to decomposition in convex optimization","venue":null,"work_id":"458a3e5f-6262-4888-ae88-af3f250f7064","year":2008},"citing_paper":{"arxiv_id":"1907.07852","last_updated":"2019-07-18T03:05:12Z","snapshot_observed_at":"2026-08-01T19:48:27.656888Z","submitted_at":"2019-07-18T03:05:12Z","title":"Geometric Convergence for Distributed Optimization with Barzilai-Borwein Step Sizes","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-05-24T20:05:33.604535Z"},"links":{"citing_paper":"/paper/1907.07852"},"observation_digest":"sha256:dd63be59e7ba3b5a0e2b69472907b022d74370d11691a53fd402903a8c746cab","observation_id":"f0f33f51-c284-443f-b4a9-990650f9f156","resolution":{"observed_at":"2026-05-24T20:06:21.095624Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-06-05T21:23:00.469572Z","title":"Distributed spectru m sensing for cognitive radio networks by exploiting sparsi ty","venue":null,"work_id":"5f8168bf-3793-407a-8ffa-7a4094838e9f","year":2010},"citing_paper":{"arxiv_id":"1907.07852","last_updated":"2019-07-18T03:05:12Z","snapshot_observed_at":"2026-08-01T19:48:27.656888Z","submitted_at":"2019-07-18T03:05:12Z","title":"Geometric Convergence for Distributed Optimization with Barzilai-Borwein Step Sizes","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-05-24T20:05:33.604535Z"},"links":{"citing_paper":"/paper/1907.07852"},"observation_digest":"sha256:46cba03e95c8b2099ea0bf10df2b1b7f2db77bc56a1d923d0b7d2a8edf6b21af","observation_id":"2403685b-c849-429b-bb39-3cef9d090d22","resolution":{"observed_at":"2026-05-24T20:06:21.098732Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-06-05T21:23:00.469572Z","title":"Efficient information aggregation strat egies for distributed control and signal processing","venue":null,"work_id":"0bce9446-ef66-4959-8b0b-398421db0583","year":2010},"citing_paper":{"arxiv_id":"1907.07852","last_updated":"2019-07-18T03:05:12Z","snapshot_observed_at":"2026-08-01T19:48:27.656888Z","submitted_at":"2019-07-18T03:05:12Z","title":"Geometric Convergence for Distributed Optimization with Barzilai-Borwein Step Sizes","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-05-24T20:05:33.604535Z"},"links":{"citing_paper":"/paper/1907.07852"},"observation_digest":"sha256:f497fc96d0e0a9ebf9a23a1a70ec5d3b4043d6a48c5b9012fea1bda1bc2f5b10","observation_id":"17da4cc0-72f1-4ce1-84f0-c7bb6afaf9ad","resolution":{"observed_at":"2026-05-24T20:06:21.101663Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-06-05T21:23:00.469572Z","title":"Consensus based formation control strategies f or multi-vehicle systems","venue":null,"work_id":"9fe6b753-1607-415e-a028-3f9bac69ce4c","year":2006},"citing_paper":{"arxiv_id":"1907.07852","last_updated":"2019-07-18T03:05:12Z","snapshot_observed_at":"2026-08-01T19:48:27.656888Z","submitted_at":"2019-07-18T03:05:12Z","title":"Geometric Convergence for Distributed Optimization with Barzilai-Borwein Step Sizes","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-05-24T20:05:33.604535Z"},"links":{"citing_paper":"/paper/1907.07852"},"observation_digest":"sha256:031d3d645c0c9ccfddec93d2cc2defac7d20cd58f6542b8c23f50e3ab7d9853c","observation_id":"1c84b117-1172-4ab3-9b67-494b4d7fdf93","resolution":{"observed_at":"2026-05-24T20:06:21.111940Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-06-05T21:23:00.469572Z","title":"Noise reduction by swarming in social foraging","venue":null,"work_id":"971d3b21-63ac-4121-b454-d9053db19bdd","year":2016},"citing_paper":{"arxiv_id":"1907.07852","last_updated":"2019-07-18T03:05:12Z","snapshot_observed_at":"2026-08-01T19:48:27.656888Z","submitted_at":"2019-07-18T03:05:12Z","title":"Geometric Convergence for Distributed Optimization with Barzilai-Borwein Step Sizes","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-05-24T20:05:33.604535Z"},"links":{"citing_paper":"/paper/1907.07852"},"observation_digest":"sha256:04830d19a58054193dfcb9ceabe2324fa27bf952419287df8ffd03b317b3eec3","observation_id":"f2fb4ff6-bd0d-4355-8b7e-f93291bea67d","resolution":{"observed_at":"2026-05-24T20:06:21.118378Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-06-05T21:23:00.469572Z","title":"Distributed learni ng algorithms for spectrum sharing in spatial random access wireless networks","venue":null,"work_id":"fc2fdc77-723c-4770-8deb-54eac99f1452","year":2017},"citing_paper":{"arxiv_id":"1907.07852","last_updated":"2019-07-18T03:05:12Z","snapshot_observed_at":"2026-08-01T19:48:27.656888Z","submitted_at":"2019-07-18T03:05:12Z","title":"Geometric Convergence for Distributed Optimization with Barzilai-Borwein Step Sizes","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-05-24T20:05:33.604535Z"},"links":{"citing_paper":"/paper/1907.07852"},"observation_digest":"sha256:1993484f4cfe8039db8d403ef79eab0ba543e9972e02d81576c72870b6bf8eee","observation_id":"03cb343d-7822-461b-aa36-385ba6f96eec","resolution":{"observed_at":"2026-05-24T20:06:21.108572Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-06-05T21:23:00.469572Z","title":"Decentralized sparse signal recove ry for compressive sleeping wireless sensor networks","venue":null,"work_id":"d0c676c4-f3dd-4795-b8f1-3ef513b28168","year":2010},"citing_paper":{"arxiv_id":"1907.07852","last_updated":"2019-07-18T03:05:12Z","snapshot_observed_at":"2026-08-01T19:48:27.656888Z","submitted_at":"2019-07-18T03:05:12Z","title":"Geometric Convergence for Distributed Optimization with Barzilai-Borwein Step Sizes","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-05-24T20:05:33.604535Z"},"links":{"citing_paper":"/paper/1907.07852"},"observation_digest":"sha256:d2f7518ff95b4de88a585b2fc10c72ae91186d8529da4e835ba4bd1c5c750b7e","observation_id":"cb7f880d-9521-4676-9f98-b395913c13b2","resolution":{"observed_at":"2026-05-24T20:06:21.136186Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-06-05T21:23:00.469572Z","title":"Optimal decentralized p rotocol for electric vehicle charging","venue":null,"work_id":"3f6f8a92-2b8f-4818-8705-889ad7e0b6e9","year":2013},"citing_paper":{"arxiv_id":"1907.07852","last_updated":"2019-07-18T03:05:12Z","snapshot_observed_at":"2026-08-01T19:48:27.656888Z","submitted_at":"2019-07-18T03:05:12Z","title":"Geometric Convergence for Distributed Optimization with Barzilai-Borwein Step Sizes","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-05-24T20:05:33.604535Z"},"links":{"citing_paper":"/paper/1907.07852"},"observation_digest":"sha256:13df805de59750ed43eeb3e7225053b4e3d45bc8c5558a095281d9a50c0eb096","observation_id":"da0f76d6-6f87-4894-b583-1af06e0e7e29","resolution":{"observed_at":"2026-05-24T20:06:21.125254Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-06-05T21:23:00.469572Z","title":"Distributed optimization in se nsor networks","venue":null,"work_id":"fe45a21a-0502-4711-8505-bbc8e68a40d6","year":2004},"citing_paper":{"arxiv_id":"1907.07852","last_updated":"2019-07-18T03:05:12Z","snapshot_observed_at":"2026-08-01T19:48:27.656888Z","submitted_at":"2019-07-18T03:05:12Z","title":"Geometric Convergence for Distributed Optimization with Barzilai-Borwein Step Sizes","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-05-24T20:05:33.604535Z"},"links":{"citing_paper":"/paper/1907.07852"},"observation_digest":"sha256:194254fcc8528ddf1cc8bb2512a034b8aea38a843d147bfea86bb5bc38ce6381","observation_id":"57e74c73-1102-4a8a-b167-98ab2da7f9ec","resolution":{"observed_at":"2026-05-24T20:06:21.122015Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-06-05T21:23:00.469572Z","title":"Distributed asynchronous computation of fixed points","venue":null,"work_id":"dbe452e3-d4b6-4999-b764-72f1191dab56","year":1983},"citing_paper":{"arxiv_id":"1907.07852","last_updated":"2019-07-18T03:05:12Z","snapshot_observed_at":"2026-08-01T19:48:27.656888Z","submitted_at":"2019-07-18T03:05:12Z","title":"Geometric Convergence for Distributed Optimization with Barzilai-Borwein Step Sizes","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-05-24T20:05:33.604535Z"},"links":{"citing_paper":"/paper/1907.07852"},"observation_digest":"sha256:50e65e4b7860845ee136c953c92d873e024fe23e1278f337bca266486bffcb79","observation_id":"9c889576-81f3-44d9-a5c6-f8944322b657","resolution":{"observed_at":"2026-05-24T20:06:21.088159Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-06-05T21:23:00.469572Z","title":"Distribut ed asynchronous deterministic and stochastic gradient opt imization algorithms","venue":null,"work_id":"aab79f23-7b92-469d-a4fd-06ff61769b4f","year":1986},"citing_paper":{"arxiv_id":"1907.07852","last_updated":"2019-07-18T03:05:12Z","snapshot_observed_at":"2026-08-01T19:48:27.656888Z","submitted_at":"2019-07-18T03:05:12Z","title":"Geometric Convergence for Distributed Optimization with Barzilai-Borwein Step Sizes","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-05-24T20:05:33.604535Z"},"links":{"citing_paper":"/paper/1907.07852"},"observation_digest":"sha256:d6f334e4aa8b08503d7f9a6523ee36de6dd829f6c76406feb24c59d4a5b1f091","observation_id":"776c2763-bbc6-494d-9bb5-42fdc7a986a0","resolution":{"observed_at":"2026-05-24T20:06:21.093557Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-06-05T21:23:00.469572Z","title":"Distributed subgradient me thods for multi-agent optimization","venue":null,"work_id":"badd157c-d9f9-4907-84ae-da70691df57c","year":2009},"citing_paper":{"arxiv_id":"1907.07852","last_updated":"2019-07-18T03:05:12Z","snapshot_observed_at":"2026-08-01T19:48:27.656888Z","submitted_at":"2019-07-18T03:05:12Z","title":"Geometric Convergence for Distributed Optimization with Barzilai-Borwein Step Sizes","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-05-24T20:05:33.604535Z"},"links":{"citing_paper":"/paper/1907.07852"},"observation_digest":"sha256:6b271aced00e58c285e67496bbc617cb224acb0d7d3d9ff80077d19b2e95d9ed","observation_id":"f3876fee-ee41-4f3a-966c-b6e63ce7ec66","resolution":{"observed_at":"2026-05-24T20:06:21.133239Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-06-05T21:23:00.469572Z","title":"Fast distr ibuted gradient methods","venue":null,"work_id":"80989a1d-a3a6-486e-acca-258aaaa46710","year":2014},"citing_paper":{"arxiv_id":"1907.07852","last_updated":"2019-07-18T03:05:12Z","snapshot_observed_at":"2026-08-01T19:48:27.656888Z","submitted_at":"2019-07-18T03:05:12Z","title":"Geometric Convergence for Distributed Optimization with Barzilai-Borwein Step Sizes","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-05-24T20:05:33.604535Z"},"links":{"citing_paper":"/paper/1907.07852"},"observation_digest":"sha256:b540ab61cd779d1b13ded28aec669e0914eab848454d87472e904889092e3880","observation_id":"85a433f3-38da-4c00-8ced-023834396d21","resolution":{"observed_at":"2026-05-24T20:06:21.109932Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-06-05T21:23:00.469572Z","title":"On the convergence of decen tralized gradient descent","venue":null,"work_id":"2cc05dda-9463-4b50-9cc9-900f1b005061","year":2016},"citing_paper":{"arxiv_id":"1907.07852","last_updated":"2019-07-18T03:05:12Z","snapshot_observed_at":"2026-08-01T19:48:27.656888Z","submitted_at":"2019-07-18T03:05:12Z","title":"Geometric Convergence for Distributed Optimization with Barzilai-Borwein Step Sizes","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-05-24T20:05:33.604535Z"},"links":{"citing_paper":"/paper/1907.07852"},"observation_digest":"sha256:735ded26a17cb52025f6d0e89d9e7a8a724c08add3b0975ca99c436445556b2d","observation_id":"5aa0044e-9af8-4ba0-91c8-f2e99b42b206","resolution":{"observed_at":"2026-05-24T20:06:21.123871Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-06-05T21:23:00.469572Z","title":"Decentralized mu lti-agent optimization via dual decomposition","venue":null,"work_id":"94e4f0a2-a372-43c3-9eab-59f18c8046b6","year":2011},"citing_paper":{"arxiv_id":"1907.07852","last_updated":"2019-07-18T03:05:12Z","snapshot_observed_at":"2026-08-01T19:48:27.656888Z","submitted_at":"2019-07-18T03:05:12Z","title":"Geometric Convergence for Distributed Optimization with Barzilai-Borwein Step Sizes","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-05-24T20:05:33.604535Z"},"links":{"citing_paper":"/paper/1907.07852"},"observation_digest":"sha256:d5f847f45f073508e6f8294e436addc20837954bcbc53572aadb4580cda8d2ad","observation_id":"eaee47fc-70c2-486e-b45e-f7c226623f19","resolution":{"observed_at":"2026-05-24T20:06:21.090120Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-06-05T21:23:00.469572Z","title":"D-admm: A communication-efficient distributed algor ithm for separable optimization","venue":null,"work_id":"1d757ce4-8fa1-4254-979a-8b34cfe674cc","year":2013},"citing_paper":{"arxiv_id":"1907.07852","last_updated":"2019-07-18T03:05:12Z","snapshot_observed_at":"2026-08-01T19:48:27.656888Z","submitted_at":"2019-07-18T03:05:12Z","title":"Geometric Convergence for Distributed Optimization with Barzilai-Borwein Step Sizes","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-05-24T20:05:33.604535Z"},"links":{"citing_paper":"/paper/1907.07852"},"observation_digest":"sha256:f974283f1c3a3dc650baee5824028f5c6156cf7ee3e62d829bbebdc2ddca9cc2","observation_id":"91948f60-2ac3-4b9d-899e-d00516891c50","resolution":{"observed_at":"2026-05-24T20:06:21.127102Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-06-05T21:23:00.469572Z","title":"On the linear c onvergence of the admm in decentralized consensus optimization","venue":null,"work_id":"74a5a38a-861a-4f15-8d36-b6cfe5167371","year":2014},"citing_paper":{"arxiv_id":"1907.07852","last_updated":"2019-07-18T03:05:12Z","snapshot_observed_at":"2026-08-01T19:48:27.656888Z","submitted_at":"2019-07-18T03:05:12Z","title":"Geometric Convergence for Distributed Optimization with Barzilai-Borwein Step Sizes","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-05-24T20:05:33.604535Z"},"links":{"citing_paper":"/paper/1907.07852"},"observation_digest":"sha256:beae8acfbf5513f115e0fba3dbb3344b25a8e6ca83be78283fbb8b94ff57b589","observation_id":"237395c1-315b-4382-8b70-b46d9ba2a2fa","resolution":{"observed_at":"2026-05-24T20:06:21.078855Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-06-05T21:23:00.469572Z","title":"A decentra lized second-order method with exact linear convergence ra te for consensus optimization","venue":null,"work_id":"5265bd00-7ae7-45c5-bfaf-054ec18fa044","year":2016},"citing_paper":{"arxiv_id":"1907.07852","last_updated":"2019-07-18T03:05:12Z","snapshot_observed_at":"2026-08-01T19:48:27.656888Z","submitted_at":"2019-07-18T03:05:12Z","title":"Geometric Convergence for Distributed Optimization with Barzilai-Borwein Step Sizes","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-05-24T20:05:33.604535Z"},"links":{"citing_paper":"/paper/1907.07852"},"observation_digest":"sha256:190b5d0b761936e5d59bdfc49c2597cdd98b3734f75155f161c2d0da34e89f86","observation_id":"03653a8e-23cd-4e80-bd16-9b7c50af9b6c","resolution":{"observed_at":"2026-05-24T20:06:21.044432Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-06-05T21:23:00.469572Z","title":"Decentralized q uasi-newton methods","venue":null,"work_id":"797ea60b-3db5-4275-be9d-129f960b7b28","year":2017},"citing_paper":{"arxiv_id":"1907.07852","last_updated":"2019-07-18T03:05:12Z","snapshot_observed_at":"2026-08-01T19:48:27.656888Z","submitted_at":"2019-07-18T03:05:12Z","title":"Geometric Convergence for Distributed Optimization with Barzilai-Borwein Step Sizes","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-05-24T20:05:33.604535Z"},"links":{"citing_paper":"/paper/1907.07852"},"observation_digest":"sha256:88842661a8c912c8705cedb89baee48dcffd569d8cb37f75abd66bc40d566e6a","observation_id":"c92b1aef-1fcc-4d67-89d8-6aa155d690b5","resolution":{"observed_at":"2026-05-24T20:06:21.054895Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-06-05T21:23:00.469572Z","title":"B alancing communication and computation in distributed optimization","venue":null,"work_id":"d1a384ee-b1ed-46be-b147-c1887dbb56ed","year":2018},"citing_paper":{"arxiv_id":"1907.07852","last_updated":"2019-07-18T03:05:12Z","snapshot_observed_at":"2026-08-01T19:48:27.656888Z","submitted_at":"2019-07-18T03:05:12Z","title":"Geometric Convergence for Distributed Optimization with Barzilai-Borwein Step Sizes","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-05-24T20:05:33.604535Z"},"links":{"citing_paper":"/paper/1907.07852"},"observation_digest":"sha256:1e4b9e5ad8a9795203715a19300aadb34af1dec60ae25ecd63d6a611ab782863","observation_id":"5656582d-c038-4868-84db-33826a147aab","resolution":{"observed_at":"2026-05-24T20:06:21.099850Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-06-05T21:23:00.469572Z","title":"Extra: An exact first-o rder algorithm for decentralized consensus optimization","venue":null,"work_id":"f313c080-107d-4b2e-87a7-8cd6d3791707","year":2015},"citing_paper":{"arxiv_id":"1907.07852","last_updated":"2019-07-18T03:05:12Z","snapshot_observed_at":"2026-08-01T19:48:27.656888Z","submitted_at":"2019-07-18T03:05:12Z","title":"Geometric Convergence for Distributed Optimization with Barzilai-Borwein Step Sizes","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-05-24T20:05:33.604535Z"},"links":{"citing_paper":"/paper/1907.07852"},"observation_digest":"sha256:1e73aa86a69a9ad62d93708e13f46188fdbf38e7f395b264fe12fca37c256280","observation_id":"d4dbab3e-b0d4-4eca-8108-f17947c41825","resolution":{"observed_at":"2026-05-24T20:06:21.084907Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-06-05T21:23:00.469572Z","title":"Dextra: A fast algorithm for optimi zation over directed graphs","venue":null,"work_id":"6221c358-4a3d-4d08-97fd-96122ff40fce","year":2017},"citing_paper":{"arxiv_id":"1907.07852","last_updated":"2019-07-18T03:05:12Z","snapshot_observed_at":"2026-08-01T19:48:27.656888Z","submitted_at":"2019-07-18T03:05:12Z","title":"Geometric Convergence for Distributed Optimization with Barzilai-Borwein Step Sizes","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-05-24T20:05:33.604535Z"},"links":{"citing_paper":"/paper/1907.07852"},"observation_digest":"sha256:7ce4e37f210e9d26288236ecac32fd8a73eca4fc827289f3b683fa37e423df77","observation_id":"aef42284-7ab8-4a24-b5c3-d6acb2f5a383","resolution":{"observed_at":"2026-05-24T20:06:21.106445Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-06-05T21:23:00.469572Z","title":"Augmented distributed optimization for networ ked systems","venue":null,"work_id":"5ce69320-b8d2-4b31-869f-d38f15d2d6cb","year":2016},"citing_paper":{"arxiv_id":"1907.07852","last_updated":"2019-07-18T03:05:12Z","snapshot_observed_at":"2026-08-01T19:48:27.656888Z","submitted_at":"2019-07-18T03:05:12Z","title":"Geometric Convergence for Distributed Optimization with Barzilai-Borwein Step Sizes","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-05-24T20:05:33.604535Z"},"links":{"citing_paper":"/paper/1907.07852"},"observation_digest":"sha256:8a46c4c9149b5ad8deb76bb5c1ef6041676b8f8aef3d8a6ada049cdb9d50b9b1","observation_id":"098fdc9b-0a36-4837-bfbb-6f6a010b498f","resolution":{"observed_at":"2026-05-24T20:06:20.956096Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-06-05T21:23:00.469572Z","title":"Augmented distribut ed gradient methods for multi-agent optimization under uncoordinated constant stepsizes","venue":null,"work_id":"04e66567-9c64-4153-9997-228c57264ab8","year":2015},"citing_paper":{"arxiv_id":"1907.07852","last_updated":"2019-07-18T03:05:12Z","snapshot_observed_at":"2026-08-01T19:48:27.656888Z","submitted_at":"2019-07-18T03:05:12Z","title":"Geometric Convergence for Distributed Optimization with Barzilai-Borwein Step Sizes","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-05-24T20:05:33.604535Z"},"links":{"citing_paper":"/paper/1907.07852"},"observation_digest":"sha256:a71d2b17297dc7664ccdec5d6ed7ff508ce2fe8a330918ad16dfbc66d86abad1","observation_id":"2a456892-f33b-4182-a560-244f509021a8","resolution":{"observed_at":"2026-05-24T20:06:20.970399Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-06-05T21:23:00.469572Z","title":"Achieving geometri c convergence for distributed optimization over time-vary ing graphs","venue":null,"work_id":"47085f4c-df54-4a47-9159-ec6cdfcdc8a9","year":2017},"citing_paper":{"arxiv_id":"1907.07852","last_updated":"2019-07-18T03:05:12Z","snapshot_observed_at":"2026-08-01T19:48:27.656888Z","submitted_at":"2019-07-18T03:05:12Z","title":"Geometric Convergence for Distributed Optimization with Barzilai-Borwein Step Sizes","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-05-24T20:05:33.604535Z"},"links":{"citing_paper":"/paper/1907.07852"},"observation_digest":"sha256:1bde97268523f03299b7a81564384e57b1d02f7ec0db24ad60d426f4e5a8a5f1","observation_id":"7ccae189-99f2-41bf-b101-d05f6cbf657b","resolution":{"observed_at":"2026-05-24T20:06:21.081832Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-06-05T21:23:00.469572Z","title":"Harnessing smoothness to accelerate di stributed optimization","venue":null,"work_id":"31eebfc7-5704-4347-bd48-ffa02f8888ba","year":2018},"citing_paper":{"arxiv_id":"1907.07852","last_updated":"2019-07-18T03:05:12Z","snapshot_observed_at":"2026-08-01T19:48:27.656888Z","submitted_at":"2019-07-18T03:05:12Z","title":"Geometric Convergence for Distributed Optimization with Barzilai-Borwein Step Sizes","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-05-24T20:05:33.604535Z"},"links":{"citing_paper":"/paper/1907.07852"},"observation_digest":"sha256:304c95feb1d0b98ad2a7c62d348f6c155ca4a50366ac889b8859462b6f0195f1","observation_id":"d2b240e3-0746-4bf6-8d1a-c28c7178efd4","resolution":{"observed_at":"2026-05-24T20:06:21.069162Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-06-05T21:23:00.469572Z","title":"Geometr ically convergent distributed optimization with uncoordi nated step-sizes","venue":null,"work_id":"9c9ced33-9b86-4c11-9d5b-3cd28dc2789b","year":2017},"citing_paper":{"arxiv_id":"1907.07852","last_updated":"2019-07-18T03:05:12Z","snapshot_observed_at":"2026-08-01T19:48:27.656888Z","submitted_at":"2019-07-18T03:05:12Z","title":"Geometric Convergence for Distributed Optimization with Barzilai-Borwein Step Sizes","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-05-24T20:05:33.604535Z"},"links":{"citing_paper":"/paper/1907.07852"},"observation_digest":"sha256:0b6d7d141efde269a3dc45af2b7bf8689c5d1331962c64ce22836ea1b484c68f","observation_id":"77ee65df-077c-47d8-a9cb-b6d1d8f9e96b","resolution":{"observed_at":"2026-05-24T20:06:21.065875Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-06-05T21:23:00.469572Z","title":"Geometrical convergence rate for distributed optimization with time-varying directed g raphs and uncoordinated step-sizes","venue":null,"work_id":"15500368-5a3a-4ec9-b043-f155e97de22f","year":2018},"citing_paper":{"arxiv_id":"1907.07852","last_updated":"2019-07-18T03:05:12Z","snapshot_observed_at":"2026-08-01T19:48:27.656888Z","submitted_at":"2019-07-18T03:05:12Z","title":"Geometric Convergence for Distributed Optimization with Barzilai-Borwein Step Sizes","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-05-24T20:05:33.604535Z"},"links":{"citing_paper":"/paper/1907.07852"},"observation_digest":"sha256:830cb5625722318eb0db5f65345549e724daeef988171a811d3e02a533e083ad","observation_id":"232579c5-6b84-47f1-b756-e510c2393447","resolution":{"observed_at":"2026-05-24T20:06:21.103390Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-06-05T21:23:00.469572Z","title":"Convergence of async hronous distributed gradient methods over stochastic netw orks","venue":null,"work_id":"50d1b514-36a5-47e2-9be8-95428425d001","year":2018},"citing_paper":{"arxiv_id":"1907.07852","last_updated":"2019-07-18T03:05:12Z","snapshot_observed_at":"2026-08-01T19:48:27.656888Z","submitted_at":"2019-07-18T03:05:12Z","title":"Geometric Convergence for Distributed Optimization with Barzilai-Borwein Step Sizes","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-05-24T20:05:33.604535Z"},"links":{"citing_paper":"/paper/1907.07852"},"observation_digest":"sha256:fb08c0447edae5368ebb782e9bc59a797d87dc59c8d19b6eb542c4719d083ef2","observation_id":"1086293a-9ea0-4de7-b297-3a350bb9f420","resolution":{"observed_at":"2026-05-24T20:06:21.130337Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-06-05T21:23:00.469572Z","title":"Frost–fast row-stochasti c optimization with uncoordinated step-sizes","venue":null,"work_id":"c3a5cb6c-e98b-4bab-96b0-63923d46e578","year":2019},"citing_paper":{"arxiv_id":"1907.07852","last_updated":"2019-07-18T03:05:12Z","snapshot_observed_at":"2026-08-01T19:48:27.656888Z","submitted_at":"2019-07-18T03:05:12Z","title":"Geometric Convergence for Distributed Optimization with Barzilai-Borwein Step Sizes","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-05-24T20:05:33.604535Z"},"links":{"citing_paper":"/paper/1907.07852"},"observation_digest":"sha256:505ab11f2a35f148ab2dad5ab0f437ea79fb35f9d565401fa4d1ec10003065d8","observation_id":"0c16c9e8-5b79-4a83-84ff-803c06872859","resolution":{"observed_at":"2026-05-24T20:06:21.051705Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-06-05T21:23:00.469572Z","title":"Discrete-time dynamic average consensus","venue":null,"work_id":"836e8584-5b11-474d-9832-b5d6870da944","year":2010},"citing_paper":{"arxiv_id":"1907.07852","last_updated":"2019-07-18T03:05:12Z","snapshot_observed_at":"2026-08-01T19:48:27.656888Z","submitted_at":"2019-07-18T03:05:12Z","title":"Geometric Convergence for Distributed Optimization with Barzilai-Borwein Step Sizes","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-05-24T20:05:33.604535Z"},"links":{"citing_paper":"/paper/1907.07852"},"observation_digest":"sha256:cb0c3de7b0ab085467e8f3f737ed97b8409e978d4505e754e95a08f432516091","observation_id":"eaecb559-8698-4379-948e-75ebc4899ebd","resolution":{"observed_at":"2026-05-24T20:06:21.080216Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-06-05T21:23:00.469572Z","title":"Two-point step size grad ient methods","venue":null,"work_id":"b6558b85-540c-4a09-9dd5-5f2b913fc7c6","year":1988},"citing_paper":{"arxiv_id":"1907.07852","last_updated":"2019-07-18T03:05:12Z","snapshot_observed_at":"2026-08-01T19:48:27.656888Z","submitted_at":"2019-07-18T03:05:12Z","title":"Geometric Convergence for Distributed Optimization with Barzilai-Borwein Step Sizes","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-05-24T20:05:33.604535Z"},"links":{"citing_paper":"/paper/1907.07852"},"observation_digest":"sha256:c9e60e10a9f6138ed9f7cd1c07f63249f9a8532e1bd183513909fd81740ab8db","observation_id":"fd6d4c1a-53aa-4599-91a8-e1a8c4727076","resolution":{"observed_at":"2026-05-24T20:06:21.076534Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-06-05T21:23:00.469572Z","title":"The barzilai and borwein gradient method fo r the large scale unconstrained minimization problem","venue":null,"work_id":"ce79983e-c3aa-4158-be20-7016fcae1857","year":1997},"citing_paper":{"arxiv_id":"1907.07852","last_updated":"2019-07-18T03:05:12Z","snapshot_observed_at":"2026-08-01T19:48:27.656888Z","submitted_at":"2019-07-18T03:05:12Z","title":"Geometric Convergence for Distributed Optimization with Barzilai-Borwein Step Sizes","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-05-24T20:05:33.604535Z"},"links":{"citing_paper":"/paper/1907.07852"},"observation_digest":"sha256:d802b905cd37e012e6301fb58149096e3853fa7f803ebf13d7c3de40ac7bab48","observation_id":"346b2fea-2e4c-4324-95ba-f002d161017f","resolution":{"observed_at":"2026-05-24T20:06:21.096883Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-06-05T21:23:00.469572Z","title":"Projected barzilai-borwein methods for large-scale box-constrained quadratic progra mming","venue":null,"work_id":"9a041f0a-f1a3-49c3-99ad-1a9de4a18121","year":2005},"citing_paper":{"arxiv_id":"1907.07852","last_updated":"2019-07-18T03:05:12Z","snapshot_observed_at":"2026-08-01T19:48:27.656888Z","submitted_at":"2019-07-18T03:05:12Z","title":"Geometric Convergence for Distributed Optimization with Barzilai-Borwein Step Sizes","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-05-24T20:05:33.604535Z"},"links":{"citing_paper":"/paper/1907.07852"},"observation_digest":"sha256:0d23c14a8d25026527e5c1c88613611aab991f70ccce7fd631adc18f4bbc071e","observation_id":"6e7d3f81-39ae-46ab-bcde-191af188eceb","resolution":{"observed_at":"2026-05-24T20:06:21.086862Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-06-05T21:23:00.469572Z","title":"The cyclic barzilai-borwein method for unconstrained optimization","venue":null,"work_id":"be368ce8-3de3-4cb5-8026-4a014e3c6af3","year":2006},"citing_paper":{"arxiv_id":"1907.07852","last_updated":"2019-07-18T03:05:12Z","snapshot_observed_at":"2026-08-01T19:48:27.656888Z","submitted_at":"2019-07-18T03:05:12Z","title":"Geometric Convergence for Distributed Optimization with Barzilai-Borwein Step Sizes","version":1},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-05-24T20:05:33.604535Z"},"links":{"citing_paper":"/paper/1907.07852"},"observation_digest":"sha256:455318ed73b290f7f145f08d67ab14faf01465d449580abcd6dae4b9cf18a578","observation_id":"773ec10f-92c3-4410-b987-aaa73af87017","resolution":{"observed_at":"2026-05-24T20:06:21.062379Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-06-05T21:23:00.469572Z","title":"A new analysis on the barzilai-borwein gradi ent method","venue":null,"work_id":"4d4a2242-59c9-4be6-bf7d-781099c693e5","year":2013},"citing_paper":{"arxiv_id":"1907.07852","last_updated":"2019-07-18T03:05:12Z","snapshot_observed_at":"2026-08-01T19:48:27.656888Z","submitted_at":"2019-07-18T03:05:12Z","title":"Geometric Convergence for Distributed Optimization with Barzilai-Borwein Step Sizes","version":1},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-05-24T20:05:33.604535Z"},"links":{"citing_paper":"/paper/1907.07852"},"observation_digest":"sha256:e8509a8925bedce7cba36668cfdee970e6cb465ef8dbec7a40ed5e2ae30e7463","observation_id":"8a378a88-2768-4239-b89b-40741045a8e1","resolution":{"observed_at":"2026-05-24T20:06:21.072550Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-06-05T21:23:00.469572Z","title":"A family of spectral gradient methods for optimization","venue":null,"work_id":"91a27c7d-91c6-496b-9bd1-6184fbaa1e5e","year":2018},"citing_paper":{"arxiv_id":"1907.07852","last_updated":"2019-07-18T03:05:12Z","snapshot_observed_at":"2026-08-01T19:48:27.656888Z","submitted_at":"2019-07-18T03:05:12Z","title":"Geometric Convergence for Distributed Optimization with Barzilai-Borwein Step Sizes","version":1},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-05-24T20:05:33.604535Z"},"links":{"citing_paper":"/paper/1907.07852"},"observation_digest":"sha256:3287830d5dd87e20cd9b6a50e8b84744607c2d92d09c9806cd53588f8a3123eb","observation_id":"5ad95ccd-35fc-419c-8742-e4b28e7a2fb9","resolution":{"observed_at":"2026-05-24T20:06:21.076186Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-06-05T21:23:00.469572Z","title":"Projected barzilai-borwein met hod for large-scale nonnegative image restoration","venue":null,"work_id":"e1d301ec-39da-4805-968d-b0b90332c27d","year":2007},"citing_paper":{"arxiv_id":"1907.07852","last_updated":"2019-07-18T03:05:12Z","snapshot_observed_at":"2026-08-01T19:48:27.656888Z","submitted_at":"2019-07-18T03:05:12Z","title":"Geometric Convergence for Distributed Optimization with Barzilai-Borwein Step Sizes","version":1},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-05-24T20:05:33.604535Z"},"links":{"citing_paper":"/paper/1907.07852"},"observation_digest":"sha256:45e1c41bc71452092be12ea7d91432b3f9348b589c8ad2e4ee2036b050abebc1","observation_id":"d1dd70ac-8148-4df5-bd9d-2e8643f4f09c","resolution":{"observed_at":"2026-05-24T20:06:21.065630Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-06-05T21:23:00.469572Z","title":"Spars e reconstruction by separable approximation","venue":null,"work_id":"80b91df5-a8d5-4fc9-aaa3-9c7dc71a99fd","year":2009},"citing_paper":{"arxiv_id":"1907.07852","last_updated":"2019-07-18T03:05:12Z","snapshot_observed_at":"2026-08-01T19:48:27.656888Z","submitted_at":"2019-07-18T03:05:12Z","title":"Geometric Convergence for Distributed Optimization with Barzilai-Borwein Step Sizes","version":1},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-05-24T20:05:33.604535Z"},"links":{"citing_paper":"/paper/1907.07852"},"observation_digest":"sha256:d988ac744598c7c58d55fd4759d92c2375be8f837d201ab991f415d153f11337","observation_id":"d9f2d497-c745-43fa-83de-e254a6a993b2","resolution":{"observed_at":"2026-05-24T20:06:21.116583Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-06-05T21:23:00.469572Z","title":"A fast algor ithm for sparse reconstruction based on shrinkage, subspac e optimization, and continuation","venue":null,"work_id":"0a594f81-0ece-41dc-927f-568d6a56c779","year":2010},"citing_paper":{"arxiv_id":"1907.07852","last_updated":"2019-07-18T03:05:12Z","snapshot_observed_at":"2026-08-01T19:48:27.656888Z","submitted_at":"2019-07-18T03:05:12Z","title":"Geometric Convergence for Distributed Optimization with Barzilai-Borwein Step Sizes","version":1},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-05-24T20:05:33.604535Z"},"links":{"citing_paper":"/paper/1907.07852"},"observation_digest":"sha256:b6629b4fd55180c6215a3e39efe8cba6197cbd031eab87b2782d9498388c0c2e","observation_id":"a7ad9ecf-95dc-48ca-8540-4b75fa952bb6","resolution":{"observed_at":"2026-05-24T20:06:21.010647Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-06-05T21:23:00.469572Z","title":"Coordinated beamforming for miso interference channel: Complexity analysis and efficie nt algorithms","venue":null,"work_id":"5e277c95-06de-4492-befa-78979da915e8","year":2011},"citing_paper":{"arxiv_id":"1907.07852","last_updated":"2019-07-18T03:05:12Z","snapshot_observed_at":"2026-08-01T19:48:27.656888Z","submitted_at":"2019-07-18T03:05:12Z","title":"Geometric Convergence for Distributed Optimization with Barzilai-Borwein Step Sizes","version":1},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-05-24T20:05:33.604535Z"},"links":{"citing_paper":"/paper/1907.07852"},"observation_digest":"sha256:691da68faede2cbbf06d91c3b0979476db2cdedce71a20db4084541932ec5d7e","observation_id":"b2e93a83-1f10-4c9b-a018-4b815e2afe79","resolution":{"observed_at":"2026-05-24T20:06:21.120693Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-06-05T21:23:00.469572Z","title":"Quadratic regular ization projected barzilai–borwein method for nonnegativ e matrix factorization","venue":null,"work_id":"8ae89a26-0366-44eb-a6ed-eaac16a20ac6","year":2015},"citing_paper":{"arxiv_id":"1907.07852","last_updated":"2019-07-18T03:05:12Z","snapshot_observed_at":"2026-08-01T19:48:27.656888Z","submitted_at":"2019-07-18T03:05:12Z","title":"Geometric Convergence for Distributed Optimization with Barzilai-Borwein Step Sizes","version":1},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-05-24T20:05:33.604535Z"},"links":{"citing_paper":"/paper/1907.07852"},"observation_digest":"sha256:0b1fe735765f5ea4ceae3a4cbdec9001d594e8d3923dce77b52efd6d3ace9cba","observation_id":"6f218600-f10e-4b7e-b390-34c8b7b18bfb","resolution":{"observed_at":"2026-05-24T20:06:21.019024Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-06-05T21:23:00.469572Z","title":"Barzilai-bo rwein step size for stochastic gradient descent","venue":null,"work_id":"3ebf065a-f870-4f41-8cc2-b6a3d9495b2d","year":2016},"citing_paper":{"arxiv_id":"1907.07852","last_updated":"2019-07-18T03:05:12Z","snapshot_observed_at":"2026-08-01T19:48:27.656888Z","submitted_at":"2019-07-18T03:05:12Z","title":"Geometric Convergence for Distributed Optimization with Barzilai-Borwein Step Sizes","version":1},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-05-24T20:05:33.604535Z"},"links":{"citing_paper":"/paper/1907.07852"},"observation_digest":"sha256:06af45f39c60f7edb43834f6ddafe6fc86414c39f18f05664e5f7f9b496d345c","observation_id":"0b4d045d-1801-4523-9cee-2b147b8aeb57","resolution":{"observed_at":"2026-05-24T20:06:21.006198Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-06-05T21:23:00.469572Z","title":"Projected barzila i-borwein methods applied to distributed compressive spec trum sensing","venue":null,"work_id":"ca7f0920-3fb0-4831-b7b3-c4798a435fd6","year":2010},"citing_paper":{"arxiv_id":"1907.07852","last_updated":"2019-07-18T03:05:12Z","snapshot_observed_at":"2026-08-01T19:48:27.656888Z","submitted_at":"2019-07-18T03:05:12Z","title":"Geometric Convergence for Distributed Optimization with Barzilai-Borwein Step Sizes","version":1},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-05-24T20:05:33.604535Z"},"links":{"citing_paper":"/paper/1907.07852"},"observation_digest":"sha256:a697941d1ae6bb14d08cd4f74d2a092b9e1adc5eee66d2869b3fded1e269a983","observation_id":"8832f8df-c31d-4d7b-bea1-0910a1a2269f","resolution":{"observed_at":"2026-05-24T20:06:21.010906Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-06-05T21:23:00.469572Z","title":"A ccelerated iterative distributed controller synthesis wi th a barzilai-borwein step size","venue":null,"work_id":"35717938-79cd-4ce0-8851-cd525da3f825","year":2012},"citing_paper":{"arxiv_id":"1907.07852","last_updated":"2019-07-18T03:05:12Z","snapshot_observed_at":"2026-08-01T19:48:27.656888Z","submitted_at":"2019-07-18T03:05:12Z","title":"Geometric Convergence for Distributed Optimization with Barzilai-Borwein Step Sizes","version":1},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-05-24T20:05:33.604535Z"},"links":{"citing_paper":"/paper/1907.07852"},"observation_digest":"sha256:20c8591ff3e11b98b10e0f71cde9d251f3fcb562f1e82116d035dd766274d9c6","observation_id":"bd0b09cd-8517-4d45-8b6c-be40403069eb","resolution":{"observed_at":"2026-05-24T20:06:21.017303Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-06-05T21:23:00.469572Z","title":"Convex optimization: Algorithms and compl exity","venue":null,"work_id":"071df0b3-08bd-4cc6-bdf6-a1ee1941fd41","year":2015},"citing_paper":{"arxiv_id":"1907.07852","last_updated":"2019-07-18T03:05:12Z","snapshot_observed_at":"2026-08-01T19:48:27.656888Z","submitted_at":"2019-07-18T03:05:12Z","title":"Geometric Convergence for Distributed Optimization with Barzilai-Borwein Step Sizes","version":1},"reference_index":48,"source":"pdf_text","source_observed_at":"2026-05-24T20:05:33.604535Z"},"links":{"citing_paper":"/paper/1907.07852"},"observation_digest":"sha256:425c6dcfbb447e04565a9c31eba62743033b919d317e37260bb27a44a0a35502","observation_id":"1cfc1ddb-8690-482d-92fc-ed74a0fd98d8","resolution":{"observed_at":"2026-05-24T20:06:21.113172Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"56e8d02d-65cc-4d0d-936b-6675d77cb85b","year":2012},"citing_paper":{"arxiv_id":"1907.07852","last_updated":"2019-07-18T03:05:12Z","snapshot_observed_at":"2026-08-01T19:48:27.656888Z","submitted_at":"2019-07-18T03:05:12Z","title":"Geometric Convergence for Distributed Optimization with Barzilai-Borwein Step Sizes","version":1},"reference_index":49,"source":"pdf_text","source_observed_at":"2026-05-24T20:05:33.604535Z"},"links":{"citing_paper":"/paper/1907.07852"},"observation_digest":"sha256:a26e856aeb0eba8718d6e95b9dd75a478136eff0a1f1b217c5a8df1af0e20963","observation_id":"5a83c95d-e869-4717-b471-3197f01a7f7b","resolution":{"observed_at":"2026-05-24T20:06:21.034599Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-06-05T21:23:00.469572Z","title":"Add-opt: Accelerated dist ributed directed optimization","venue":null,"work_id":"fee7ebd4-d894-48e1-82bf-6b423b134f69","year":2018},"citing_paper":{"arxiv_id":"1907.07852","last_updated":"2019-07-18T03:05:12Z","snapshot_observed_at":"2026-08-01T19:48:27.656888Z","submitted_at":"2019-07-18T03:05:12Z","title":"Geometric Convergence for Distributed Optimization with Barzilai-Borwein Step Sizes","version":1},"reference_index":50,"source":"pdf_text","source_observed_at":"2026-05-24T20:05:33.604535Z"},"links":{"citing_paper":"/paper/1907.07852"},"observation_digest":"sha256:6512f3beb41b75f0339c75909292ee1e4f287adaf2bf5a63aef5d264f99225a0","observation_id":"e29841d7-52a6-4442-9e20-afa85fbe7d67","resolution":{"observed_at":"2026-05-24T20:06:21.047867Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-06-05T21:23:00.469572Z","title":"On random graphs i","venue":null,"work_id":"2a464cd5-ef8c-4f81-a566-9aa2f13449a1","year":1959},"citing_paper":{"arxiv_id":"1907.07852","last_updated":"2019-07-18T03:05:12Z","snapshot_observed_at":"2026-08-01T19:48:27.656888Z","submitted_at":"2019-07-18T03:05:12Z","title":"Geometric Convergence for Distributed Optimization with Barzilai-Borwein Step Sizes","version":1},"reference_index":51,"source":"pdf_text","source_observed_at":"2026-05-24T20:05:33.604535Z"},"links":{"citing_paper":"/paper/1907.07852"},"observation_digest":"sha256:11368559fe487748b5cf13ffff8407f0baeba4f12da08abd83df07041677e785","observation_id":"67e93ddd-f555-4351-ad2b-b5cec0a73fea","resolution":{"observed_at":"2026-05-24T20:06:21.050813Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-06-05T21:23:00.469572Z","title":"Fastest mixing marko v chain on a graph","venue":null,"work_id":"8a4e5552-b7e6-4f44-828d-4b518759f33a","year":2004},"citing_paper":{"arxiv_id":"1907.07852","last_updated":"2019-07-18T03:05:12Z","snapshot_observed_at":"2026-08-01T19:48:27.656888Z","submitted_at":"2019-07-18T03:05:12Z","title":"Geometric Convergence for Distributed Optimization with Barzilai-Borwein Step Sizes","version":1},"reference_index":52,"source":"pdf_text","source_observed_at":"2026-05-24T20:05:33.604535Z"},"links":{"citing_paper":"/paper/1907.07852"},"observation_digest":"sha256:08324b8b0d9131a2c61b82393261024ce583c26f4a4407a89570321f30108ade","observation_id":"e0c644be-df16-44b3-8324-ddcdfd85d555","resolution":{"observed_at":"2026-05-24T20:06:21.055171Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-06-05T21:23:00.469572Z","title":"A decentralized proximal-gra dient method with network independent step-sizes and separ ated convergence rates","venue":null,"work_id":"2366440b-9cec-45c4-be00-6c9c0408bc51","year":2019},"citing_paper":{"arxiv_id":"1907.07852","last_updated":"2019-07-18T03:05:12Z","snapshot_observed_at":"2026-08-01T19:48:27.656888Z","submitted_at":"2019-07-18T03:05:12Z","title":"Geometric Convergence for Distributed Optimization with Barzilai-Borwein Step Sizes","version":1},"reference_index":53,"source":"pdf_text","source_observed_at":"2026-05-24T20:05:33.604535Z"},"links":{"citing_paper":"/paper/1907.07852"},"observation_digest":"sha256:ab89e2efb2f53f42f7fcd7eaa87e44b6eb7ca66c95092bf3e06ff5246cef4fdd","observation_id":"378f3b50-d67b-4ee2-91df-db8c389b83eb","resolution":{"observed_at":"2026-05-24T20:06:21.058865Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"1907.07852","last_updated":"2019-07-18T03:05:12Z","latest_version":1,"primary_category":"math.OC","snapshot_observed_at":"2026-08-01T19:48:27.656888Z","submitted_at":"2019-07-18T03:05:12Z","title":"Geometric Convergence for Distributed Optimization with Barzilai-Borwein Step Sizes"},"reference_resolution":{"displayed":53,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":1,"verified_exact":0,"verified_fuzzy":52},"total_outbound_references":53},"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":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"thesis":"As of 7 August 2026, this Paper Citation Record lists 53 of 53 outbound references and 0 inbound Pith citation observations for arXiv:1907.07852."}