{"as_of":"2026-08-10T07:22:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:3900f4a7ce9abfbe520444272b8ea66a41290b666ba07c7d88cf07a52bd96b22","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":"2026-08-10T06:31:04.303077+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":"sha256:470a458f524d0da8484602193400251149f5d9367b0116995826c84a1bbb7009","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 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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:f85ca804b655979bf79d65ef9473bf8b7b6d002657e17a329a3ed0cf71ca3ac4","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 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"sha256:383c980e67cf17bef9494fa8edbe0d2f7e128a3ed822a897f106098863277095","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 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"sha256:3a69a4a8bcede0a2bf650d2eca443e169ee153da583af83e2f0ac58fa849bbd6","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 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"sha256:42d6707e71a647a2c141dfd39d3af7632d7f80589bb6eb06d4681b03898c7163","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 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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:f538902e317274ac43ef2fa45d4ea8da4cbc33bdd2fa8dd3f434385ce16a2cb7","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 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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:fe2c1de5c91348299b2b29a312ba450826e60b129435c8c43863765d92ed8321","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 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"sha256:78be809c3a39814a20aabe1dd13d99d79c158ec773c09ffe702e2d4d45b2f531","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 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"sha256:3c5daff0e8348706755d94d464e50795d72cc21f8d6c157bd250a0a3ffb1f437","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 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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:e1ec757cca570afe1fca3344c4f751c6b486dc971822a9b342856b850504ef4e","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 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"sha256:204ee147680019cabcd8e881a5235ffa186af96473fd225c02a7317bdbbd2eb2","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 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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:a3a9cd01c4fcca3949df00587fa4fb5435a52c8d032d73f06f3ad6f57a24de1a","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 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"sha256:5758d2d65dd7aa68688247ff1d41e284b671966ff891d3761915785ad7e2650a","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 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"sha256:52aba03c9d347b7a34aedb20a92f806525e32dbe92ddc7c7bef43c7ca6035853","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 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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:bc4efad510f9ac2da61f78c6de3a4221b4070bb9e2d95b8f14b261f4ec5e15b2","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 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"sha256:4bfa781078a679ecac34ca5e5202fccf7ccfceb98d70a0c02710637613836ac9","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 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"sha256:26e78c8748472d4142bf4938b8b4afd64f8c3717809fdfea70bd93d3f7aef5e9","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 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"sha256:567580af2409e18b51bf59afde6311ed2a6da3e93dc339e6737d51504606fc55","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 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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:eb2cbab62152fea240f9f30031c3bda8dffd2959c2720c52920f639fdbdf4e46","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 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"sha256:23a6d350d548b139794e322a478adc5e1dca9adb6bd262762d74d6c3624618d0","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 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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:a23efcc0d56fccb35159cb89bd3c1a286fa0bdf9e16c1ad9fa8d82a76a6847b9","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 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"sha256:4547cd42a84b8da5aa6478379eb75aab5c6cb41d4ace45cf4ad22333adb50007","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 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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:af90e26ca48f77a1a148927865e6597c03c070db0ed479b4b1c3e96253b25af6","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 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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:f28bc0da63c2ea86bee3ae90a457544c429aa8fdfa8cada14a43b30b85ae8f90","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 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"sha256:4d9d53f679fce1f759dca066c95c9102046d8c037d7f5b2f8200cb8c0931f6f0","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 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"sha256:5eff89ae7d44caf4ef316326186ac295eacca420a62874927fb7d53ddc36b29b","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 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"sha256:24ddc18a673ffea5b93a216f37e46377b0117d74d54894b076d87416b2b76509","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 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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:e90ed5664e488ec3b06644b66c2de183bdd8c65e05969878bdaa118ed1491a71","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 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"sha256:8514142358504eb7165f2cfcb127ff86946f63f5f59f33f1aa3b15a102d33465","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 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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:fad45c8e241473c014555c01e20de43ab35e141f60b87744d5754f6811017701","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 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"sha256:761e0d9337dde286d915db3ae994246bc35a3581fa5f3ab0a79f6c9b9abf1187","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 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"sha256:076da71e2acac423b4dddf403abaecf5d373e7a54f983e16daa52f30b93927a3","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 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"sha256:2b3fb4c0b307ddfe6aa35e3a53c78fd633bf3800b0a1197cd0c2039b0c089945","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 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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:baefbafa28cb0ab818d3897d65b42a303ab82d04b2e4f9b9a85f931b20545f6c","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 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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:cb9735807494a9a1db30ad5ab7e87c9055a4091af18bd263a0536e54ca50dea1","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 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"sha256:7407eef67b07f193d9549e9d012e0b34eb6de8cf4e407b233cd04e9981a4052a","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 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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:e52281950499034da7943ecc153582515e3b82d8606271b6b0ee29c318e817e6","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 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"sha256:5f4e852e46c083ec79af1c5f2fd721289f8d6f142000351fe367a09b4a6dd42d","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 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"sha256:51b49b733d5939ca50fa02eea61da25dd1ed868446cd9b821e9e8e1d6a8ed3f5","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 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"sha256:0bb6da329599380a4c106a8e630f651b9fecfdfd9e728c5f5d6310adf3f1ea4f","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 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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:b6d3efb4ae4461a4ab2ceba0aebec52ccfe616ef00c9c85ce2fd8cf7a0927994","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 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"sha256:888b13e28133d4b0b23a1ed5eb7271e1fd04b452b0230a160d6b3c9fc40ef1dd","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 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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:afca4354072c6e4589a93a5f9ca3764b156cf99b8d3f28ec80ab053410d6760b","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 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"sha256:36f0dd73b450dba4df2a09c27d59da3f8da1773fa4f404142fb28161246fcbe3","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 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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:b7ac3d2bab8d8af4e92c160cae6027c00129090538fa506efa0797ffc26c9a49","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 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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:f0475fe6a3f7f7503b3b568a8e62215b6f8eb6fba156fc2f649a6ea655796f84","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 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"sha256:90a10e8fdfdaac261824e2eba061f8fd31c1215bb4b24c74f6e2c795f837dcbf","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 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"sha256:424573d1c0227142b7e7d86960c194c2b73b0b1cca1ceb84505a0949491e7a5f","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 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"sha256:7750b1b88af293ce0765521def3b322b8b38a87c1d953cc6178f3f7878a4ab33","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 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"sha256:116ac7310405185201b28a74165ff2a04558e3b8ff005bde997235d526ee566a","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 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"sha256:9a675df56ff2140796ced0fd094deaf0fc10d06a23e341ee2ebc7fce7d32f0a7","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 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"sha256:3e52ce1b86e4238f27d64e2b96394838a26e6a3146804119163f1ddd4e9ae464","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 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"sha256:45491950eed3525138ed1020bfbeb55903d03936c5dd2680164b2b5ead48a8d0","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 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"thesis":"As of 10 August 2026, this Paper Citation Record lists 53 of 53 outbound references and 0 inbound Pith citation observations for arXiv:1907.07852."}