{"as_of":"2026-08-15T02:24:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:f6c6dc3b98d86440eedaa76a6d9395197cf4be5aea143b4bcfafc1c750473831","coverage":[{"denominator":58,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":58,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-14T15:09:34.435217Z","state":"measured"},{"denominator":61,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":61,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-14T06:32:32.682623+00:00","state":"measured"},{"denominator":3,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":3,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-14T10:22:25.619924Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"pith","source_observed_at":"2026-08-10T23:47:19.769178Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"1908.01871","last_updated":"2023-03-23T04:05:54Z","snapshot_observed_at":"2026-08-15T01:15:27.282812Z","submitted_at":"2019-08-05T21:39:24Z","title":"Quadratically Regularized Subgradient Methods for Weakly Convex Optimization with Weakly Convex Constraints","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1908.01871","snapshot_observed_at":"2026-08-14T10:22:25.619924Z","title":"arXiv preprint arXiv:1908.01871 (2019)","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"1908.11518","last_updated":"2020-12-01T14:23:29Z","snapshot_observed_at":"2026-08-15T01:15:42.120675Z","submitted_at":"2019-08-30T03:33:53Z","title":"Inexact Proximal-Point Penalty Methods for Constrained Non-Convex Optimization","version":4},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-08-14T10:22:25.619924Z"},"links":{"cited_paper":"/paper/1908.01871","citing_paper":"/paper/1908.11518"},"observation_digest":"sha256:79f05d2d352ff9eba083005886efb1d7531e44f829b48aef541783e428747a8b","observation_id":"dee6c5b0-87cc-44ea-84f9-be8fe8663bb6","resolution":{"observed_at":"2026-08-14T10:22:25.619924Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1908.01871","last_updated":"2023-03-23T04:05:54Z","snapshot_observed_at":"2026-08-15T01:15:27.282812Z","submitted_at":"2019-08-05T21:39:24Z","title":"Quadratically Regularized Subgradient Methods for Weakly Convex Optimization with Weakly Convex Constraints","version":3},"cited_work":{"arxiv_id":"1908.01871","doi":null,"metadata_source":"pith","pith_arxiv_id":"1908.01871","snapshot_observed_at":"2026-08-10T23:47:19.769178Z","title":"Quadratically Regularized Subgradient Methods for Weakly Convex Optimization with Weakly Convex Constraints","venue":"math.OC","work_id":"32d01b98-a7eb-40e1-891d-81ac9422d41b","year":2019},"citing_paper":{"arxiv_id":"2412.20008","last_updated":"2024-12-28T04:07:50Z","snapshot_observed_at":"2026-08-14T06:43:58.971017Z","submitted_at":"2024-12-28T04:07:50Z","title":"Stochastic optimization over expectation-formulated generalized Stiefel manifold","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-10T23:47:19.365667Z"},"links":{"cited_paper":"/paper/1908.01871","citing_paper":"/paper/2412.20008"},"observation_digest":"sha256:0b6891ca519b804d91045eb2d072dcb47aac9dcf00f4bba159391072ef709483","observation_id":"b138697c-7c3d-476f-b6f9-d9b8d71d9cb9","resolution":{"observed_at":"2026-08-10T23:47:19.775657Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1908.01871","last_updated":"2023-03-23T04:05:54Z","snapshot_observed_at":"2026-08-15T01:15:27.282812Z","submitted_at":"2019-08-05T21:39:24Z","title":"Quadratically Regularized Subgradient Methods for Weakly Convex Optimization with Weakly Convex Constraints","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1908.01871","snapshot_observed_at":"2026-08-01T00:57:21.428387Z","title":"arXiv preprint arXiv:1908.01871 , year=","venue":null,"work_id":null,"year":1908},"citing_paper":{"arxiv_id":"2607.26032","last_updated":"2026-07-28T17:42:41Z","snapshot_observed_at":"2026-08-10T18:42:28.835522Z","submitted_at":"2026-07-28T17:42:41Z","title":"Optimization under Persistent State-Dependent Bias: Gradient-based Method and Complexity Analysis","version":1},"reference_index":211,"source":"arxiv_source","source_observed_at":"2026-08-01T00:57:21.428387Z"},"links":{"cited_paper":"/paper/1908.01871","citing_paper":"/paper/2607.26032"},"observation_digest":"sha256:866de4c5c3647e933e493fd9402cc56b899f29a0b18d833aa6544d98e80163ae","observation_id":"0c5108ff-5fbe-45e9-b959-0326d9e05576","resolution":{"observed_at":"2026-08-01T00:57:21.428387Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/1908.01871/citation-record","integrity":"/paper/1908.01871/integrity","json":"/paper/1908.01871/citation-record.json","paper":"/paper/1908.01871"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T15:09:35.196820Z","title":"Allen-Zhu","venue":null,"work_id":"27d1a20e-6030-4f81-98ab-459735ca5275","year":2017},"citing_paper":{"arxiv_id":"1908.01871","last_updated":"2023-03-23T04:05:54Z","snapshot_observed_at":"2026-08-15T01:15:27.282812Z","submitted_at":"2019-08-05T21:39:24Z","title":"Quadratically Regularized Subgradient Methods for Weakly Convex Optimization with Weakly Convex Constraints","version":3},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-14T15:09:34.210471Z"},"links":{"citing_paper":"/paper/1908.01871"},"observation_digest":"sha256:37780b4e2bc08ccad3cfdf895bc55bbb96e1819d5be3946db332e2d334379393","observation_id":"22322ee3-3bbb-4935-b144-49ebecc73ceb","resolution":{"observed_at":"2026-08-14T15:09:35.201922Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T15:09:35.184540Z","title":"Allen-Zhu and E","venue":null,"work_id":"3eb89401-7162-4f7b-ab77-8d6e262ca2c6","year":2016},"citing_paper":{"arxiv_id":"1908.01871","last_updated":"2023-03-23T04:05:54Z","snapshot_observed_at":"2026-08-15T01:15:27.282812Z","submitted_at":"2019-08-05T21:39:24Z","title":"Quadratically Regularized Subgradient Methods for Weakly Convex Optimization with Weakly Convex Constraints","version":3},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-14T15:09:34.214558Z"},"links":{"citing_paper":"/paper/1908.01871"},"observation_digest":"sha256:34436ce104427278a052e79caed983621bd8ad740b39acec4a7193992cd9b7b5","observation_id":"65d36219-9817-4fb0-8182-49ae8766556c","resolution":{"observed_at":"2026-08-14T15:09:35.188965Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T15:09:35.173461Z","title":"Bayandina, P","venue":null,"work_id":"ece3c934-ec0a-4ac7-ab80-e810f068517b","year":2018},"citing_paper":{"arxiv_id":"1908.01871","last_updated":"2023-03-23T04:05:54Z","snapshot_observed_at":"2026-08-15T01:15:27.282812Z","submitted_at":"2019-08-05T21:39:24Z","title":"Quadratically Regularized Subgradient Methods for Weakly Convex Optimization with Weakly Convex Constraints","version":3},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-14T15:09:34.218842Z"},"links":{"citing_paper":"/paper/1908.01871"},"observation_digest":"sha256:2d0c2bf0688a4877ed802f6441146f7dbaa1d5f8e4a1c32d6bbe5cf15848285d","observation_id":"6ca960fb-df65-4a84-b0e1-729e7224772c","resolution":{"observed_at":"2026-08-14T15:09:35.176931Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T15:09:35.162545Z","title":null,"venue":null,"work_id":"dd8e9df6-10e5-431b-bc2a-e1142eca6ee6","year":1999},"citing_paper":{"arxiv_id":"1908.01871","last_updated":"2023-03-23T04:05:54Z","snapshot_observed_at":"2026-08-15T01:15:27.282812Z","submitted_at":"2019-08-05T21:39:24Z","title":"Quadratically Regularized Subgradient Methods for Weakly Convex Optimization with Weakly Convex Constraints","version":3},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-14T15:09:34.223029Z"},"links":{"citing_paper":"/paper/1908.01871"},"observation_digest":"sha256:a537caa5e05afa5da42fc6841fff34242400dc280a13aaee6f27ee0f52958648","observation_id":"100c66c5-508e-415b-bb83-41f8a0feec32","resolution":{"observed_at":"2026-08-14T15:09:35.166215Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T15:09:35.152066Z","title":null,"venue":null,"work_id":"d0e1ce8d-28f6-4803-ba30-50036ad93410","year":2014},"citing_paper":{"arxiv_id":"1908.01871","last_updated":"2023-03-23T04:05:54Z","snapshot_observed_at":"2026-08-15T01:15:27.282812Z","submitted_at":"2019-08-05T21:39:24Z","title":"Quadratically Regularized Subgradient Methods for Weakly Convex Optimization with Weakly Convex Constraints","version":3},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-14T15:09:34.226362Z"},"links":{"citing_paper":"/paper/1908.01871"},"observation_digest":"sha256:25d0424b97b3a40f224f3557d48f4817161ceb7ace2bc49dc2b6562d953bd943","observation_id":"5e8e8304-e6db-463c-986b-5524f31ea40e","resolution":{"observed_at":"2026-08-14T15:09:35.155305Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1908.02734","last_updated":"2022-01-27T00:38:36Z","snapshot_observed_at":"2026-08-14T14:34:10.221138Z","submitted_at":"2019-08-07T17:10:52Z","title":"Stochastic First-order Methods for Convex and Nonconvex Functional Constrained Optimization","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1908.02734","snapshot_observed_at":"2026-08-14T15:09:34.229493Z","title":null,"venue":null,"work_id":null,"year":1908},"citing_paper":{"arxiv_id":"1908.01871","last_updated":"2023-03-23T04:05:54Z","snapshot_observed_at":"2026-08-15T01:15:27.282812Z","submitted_at":"2019-08-05T21:39:24Z","title":"Quadratically Regularized Subgradient Methods for Weakly Convex Optimization with Weakly Convex Constraints","version":3},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-14T15:09:34.229493Z"},"links":{"cited_paper":"/paper/1908.02734","citing_paper":"/paper/1908.01871"},"observation_digest":"sha256:8aa299737f73c1af82c5a45b453203b5f99c9cd3cadd58a75927041d99b941ad","observation_id":"95246e4e-e23f-4431-bd9d-81c68762cf52","resolution":{"observed_at":"2026-08-14T15:09:34.229493Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T15:09:35.139574Z","title":"Cartis, N","venue":null,"work_id":"a858a4fe-51a7-4274-a1cd-302d69f128ad","year":2011},"citing_paper":{"arxiv_id":"1908.01871","last_updated":"2023-03-23T04:05:54Z","snapshot_observed_at":"2026-08-15T01:15:27.282812Z","submitted_at":"2019-08-05T21:39:24Z","title":"Quadratically Regularized Subgradient Methods for Weakly Convex Optimization with Weakly Convex Constraints","version":3},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-14T15:09:34.233778Z"},"links":{"citing_paper":"/paper/1908.01871"},"observation_digest":"sha256:7f369dd29e6f253a7bd51b6ac4a86e40c17c03cd0c8f15782f336ade4763b5a4","observation_id":"3c87f6b2-ea73-4769-b2ac-541f45bd367c","resolution":{"observed_at":"2026-08-14T15:09:35.144364Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T15:09:35.127926Z","title":"Cartis, N","venue":null,"work_id":"eef2429c-2b78-42c5-96d1-c626cc59dce0","year":2014},"citing_paper":{"arxiv_id":"1908.01871","last_updated":"2023-03-23T04:05:54Z","snapshot_observed_at":"2026-08-15T01:15:27.282812Z","submitted_at":"2019-08-05T21:39:24Z","title":"Quadratically Regularized Subgradient Methods for Weakly Convex Optimization with Weakly Convex Constraints","version":3},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-14T15:09:34.237145Z"},"links":{"citing_paper":"/paper/1908.01871"},"observation_digest":"sha256:967e87479c8227e2dee7c58296970448bbf3e8430be54050c312f185efe2032a","observation_id":"d13eaa15-c23b-4fcb-81b6-4e18f095a62b","resolution":{"observed_at":"2026-08-14T15:09:35.132224Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T15:09:35.117082Z","title":null,"venue":null,"work_id":"893a797e-541c-475e-8592-5e545d0a80be","year":2016},"citing_paper":{"arxiv_id":"1908.01871","last_updated":"2023-03-23T04:05:54Z","snapshot_observed_at":"2026-08-15T01:15:27.282812Z","submitted_at":"2019-08-05T21:39:24Z","title":"Quadratically Regularized Subgradient Methods for Weakly Convex Optimization with Weakly Convex Constraints","version":3},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-14T15:09:34.241184Z"},"links":{"citing_paper":"/paper/1908.01871"},"observation_digest":"sha256:69a519b22ead64904964b95c98e51369c39272f9bb9fd70f8d1bc54ab556f135","observation_id":"25bc3079-205b-4ae5-835d-85060638b4d7","resolution":{"observed_at":"2026-08-14T15:09:35.120906Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1808.06296","last_updated":"2019-03-06T02:38:32Z","snapshot_observed_at":"2026-08-14T18:39:30.069706Z","submitted_at":"2018-08-20T03:46:15Z","title":"Universal Stagewise Learning for Non-Convex Problems with Convergence on Averaged Solutions","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1808.06296","snapshot_observed_at":"2026-08-14T15:09:34.245383Z","title":null,"venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"1908.01871","last_updated":"2023-03-23T04:05:54Z","snapshot_observed_at":"2026-08-15T01:15:27.282812Z","submitted_at":"2019-08-05T21:39:24Z","title":"Quadratically Regularized Subgradient Methods for Weakly Convex Optimization with Weakly Convex Constraints","version":3},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-14T15:09:34.245383Z"},"links":{"cited_paper":"/paper/1808.06296","citing_paper":"/paper/1908.01871"},"observation_digest":"sha256:97c6a7f038930ac9ff88b753667f7b59eba65e226d5a21ebd821c3d549ab5386","observation_id":"92b38175-ce88-4f75-b5ff-20ea77322246","resolution":{"observed_at":"2026-08-14T15:09:34.245383Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1804.06500","last_updated":"2018-09-28T20:54:06Z","snapshot_observed_at":"2026-08-14T19:24:50.599176Z","submitted_at":"2018-04-17T23:13:28Z","title":"Two-Player Games for Efficient Non-Convex Constrained Optimization","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1804.06500","snapshot_observed_at":"2026-08-14T15:09:34.249400Z","title":"Cotter, H","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"1908.01871","last_updated":"2023-03-23T04:05:54Z","snapshot_observed_at":"2026-08-15T01:15:27.282812Z","submitted_at":"2019-08-05T21:39:24Z","title":"Quadratically Regularized Subgradient Methods for Weakly Convex Optimization with Weakly Convex Constraints","version":3},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-14T15:09:34.249400Z"},"links":{"cited_paper":"/paper/1804.06500","citing_paper":"/paper/1908.01871"},"observation_digest":"sha256:4c44caf186aed3e325e385156a6a6ce9ec9e0205658d0bbb101a27bff0bdfa42","observation_id":"94f6c8c1-9b20-4591-96b6-88ad5839f32b","resolution":{"observed_at":"2026-08-14T15:09:34.249400Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T15:09:35.105738Z","title":"Crammer and Y","venue":null,"work_id":"08d37f92-e805-4d9f-9e0f-0cde1997b0a9","year":2002},"citing_paper":{"arxiv_id":"1908.01871","last_updated":"2023-03-23T04:05:54Z","snapshot_observed_at":"2026-08-15T01:15:27.282812Z","submitted_at":"2019-08-05T21:39:24Z","title":"Quadratically Regularized Subgradient Methods for Weakly Convex Optimization with Weakly Convex Constraints","version":3},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-14T15:09:34.253343Z"},"links":{"citing_paper":"/paper/1908.01871"},"observation_digest":"sha256:3cb1f0eba8a4b1be2a1645cbd7c5cb201cafc4c48ea37d72c4eb7489f7270966","observation_id":"b4eab0da-f976-4cc6-a266-bd500a848565","resolution":{"observed_at":"2026-08-14T15:09:35.109641Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1802.08556","last_updated":"2018-02-21T21:35:08Z","snapshot_observed_at":"2026-08-14T19:43:32.365351Z","submitted_at":"2018-02-21T21:35:08Z","title":"Complexity of finding near-stationary points of convex functions stochastically","version":1},"cited_work":{"arxiv_id":"1802.08556","doi":null,"metadata_source":"pith","pith_arxiv_id":"1802.08556","snapshot_observed_at":"2026-08-14T15:09:34.781088Z","title":"Complexity of finding near-stationary points of convex functions stochastically","venue":"math.OC","work_id":"a9ddb858-3ef3-46e1-a144-8cda5b4aa7ed","year":2018},"citing_paper":{"arxiv_id":"1908.01871","last_updated":"2023-03-23T04:05:54Z","snapshot_observed_at":"2026-08-15T01:15:27.282812Z","submitted_at":"2019-08-05T21:39:24Z","title":"Quadratically Regularized Subgradient Methods for Weakly Convex Optimization with Weakly Convex Constraints","version":3},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-14T15:09:34.257046Z"},"links":{"cited_paper":"/paper/1802.08556","citing_paper":"/paper/1908.01871"},"observation_digest":"sha256:36dbc07f58fb8f832d9020668ecb60ed9be96762f893874c903153b875333200","observation_id":"b28f4a9b-2bbb-4a48-b888-8d25f6c17d15","resolution":{"observed_at":"2026-08-14T15:09:34.784738Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1803.06523","last_updated":"2018-08-26T21:35:36Z","snapshot_observed_at":"2026-08-14T19:35:12.312536Z","submitted_at":"2018-03-17T15:38:20Z","title":"Stochastic model-based minimization of weakly convex functions","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1803.06523","snapshot_observed_at":"2026-08-14T15:09:34.261299Z","title":"Davis and D","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"1908.01871","last_updated":"2023-03-23T04:05:54Z","snapshot_observed_at":"2026-08-15T01:15:27.282812Z","submitted_at":"2019-08-05T21:39:24Z","title":"Quadratically Regularized Subgradient Methods for Weakly Convex Optimization with Weakly Convex Constraints","version":3},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-14T15:09:34.261299Z"},"links":{"cited_paper":"/paper/1803.06523","citing_paper":"/paper/1908.01871"},"observation_digest":"sha256:ee5c67330c89daceb714395a01333c610d53ec469301922c9f585908e2dc2924","observation_id":"35126b21-8ad8-4e83-aa9d-2cbbe38e137c","resolution":{"observed_at":"2026-08-14T15:09:34.261299Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1802.02988","last_updated":"2018-02-19T23:21:25Z","snapshot_observed_at":"2026-08-14T19:47:32.304749Z","submitted_at":"2018-02-08T18:03:12Z","title":"Stochastic subgradient method converges at the rate $O(k^{-1/4})$ on weakly convex functions","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1802.02988","snapshot_observed_at":"2026-08-14T15:09:34.265474Z","title":"Davis and D","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"1908.01871","last_updated":"2023-03-23T04:05:54Z","snapshot_observed_at":"2026-08-15T01:15:27.282812Z","submitted_at":"2019-08-05T21:39:24Z","title":"Quadratically Regularized Subgradient Methods for Weakly Convex Optimization with Weakly Convex Constraints","version":3},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-14T15:09:34.265474Z"},"links":{"cited_paper":"/paper/1802.02988","citing_paper":"/paper/1908.01871"},"observation_digest":"sha256:ba9d00c84e8ec119a052c48c294a388117add06b3fca4a1a95df08914bc7045d","observation_id":"fce90a62-72ed-4656-b1f6-6e9f5f30cad6","resolution":{"observed_at":"2026-08-14T15:09:34.265474Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1707.03505","last_updated":"2018-09-18T03:46:41Z","snapshot_observed_at":"2026-08-14T20:48:15.068733Z","submitted_at":"2017-07-12T00:35:43Z","title":"Proximally Guided Stochastic Subgradient Method for Nonsmooth, Nonconvex Problems","version":5},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1707.03505","snapshot_observed_at":"2026-08-14T15:09:34.269736Z","title":"Davis and B","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"1908.01871","last_updated":"2023-03-23T04:05:54Z","snapshot_observed_at":"2026-08-15T01:15:27.282812Z","submitted_at":"2019-08-05T21:39:24Z","title":"Quadratically Regularized Subgradient Methods for Weakly Convex Optimization with Weakly Convex Constraints","version":3},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-14T15:09:34.269736Z"},"links":{"cited_paper":"/paper/1707.03505","citing_paper":"/paper/1908.01871"},"observation_digest":"sha256:6b2f2826be25a0ad7da3d95ed1016c35de78e7c3a3f220ad293616092b072552","observation_id":"92ecae7b-a186-4b1c-b0c7-7a77a159c83b","resolution":{"observed_at":"2026-08-14T15:09:34.269736Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1712.06038","last_updated":"2017-12-17T00:54:54Z","snapshot_observed_at":"2026-08-15T01:15:11.601599Z","submitted_at":"2017-12-17T00:54:54Z","title":"The proximal point method revisited","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1712.06038","snapshot_observed_at":"2026-08-14T15:09:34.273962Z","title":"Drusvyatskiy","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"1908.01871","last_updated":"2023-03-23T04:05:54Z","snapshot_observed_at":"2026-08-15T01:15:27.282812Z","submitted_at":"2019-08-05T21:39:24Z","title":"Quadratically Regularized Subgradient Methods for Weakly Convex Optimization with Weakly Convex Constraints","version":3},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-14T15:09:34.273962Z"},"links":{"cited_paper":"/paper/1712.06038","citing_paper":"/paper/1908.01871"},"observation_digest":"sha256:e2343054a501f63aa724455f01a8896eb1ee2eb998b56f00f802d449cf8d693a","observation_id":"54920ea9-ec6b-4063-ad95-f1a129abf5ed","resolution":{"observed_at":"2026-08-14T15:09:34.273962Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T15:09:35.094289Z","title":"Drusvyatskiy and C","venue":null,"work_id":"4c853a5b-a6ae-4df0-94ac-cba0b49e0079","year":2018},"citing_paper":{"arxiv_id":"1908.01871","last_updated":"2023-03-23T04:05:54Z","snapshot_observed_at":"2026-08-15T01:15:27.282812Z","submitted_at":"2019-08-05T21:39:24Z","title":"Quadratically Regularized Subgradient Methods for Weakly Convex Optimization with Weakly Convex Constraints","version":3},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-14T15:09:34.277876Z"},"links":{"citing_paper":"/paper/1908.01871"},"observation_digest":"sha256:152b1014594a64a2ac1319c0cb39f551a0bc11b7cb5fd9ce77192c16daae2dd7","observation_id":"a81659a4-c327-469d-bba3-3a5df8e62893","resolution":{"observed_at":"2026-08-14T15:09:35.098112Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1902.00126","last_updated":"2019-01-31T23:30:19Z","snapshot_observed_at":"2026-08-14T17:22:39.612109Z","submitted_at":"2019-01-31T23:30:19Z","title":"Almost surely constrained convex optimization","version":1},"cited_work":{"arxiv_id":"1902.00126","doi":null,"metadata_source":"pith","pith_arxiv_id":"1902.00126","snapshot_observed_at":"2026-08-14T15:09:34.720448Z","title":"Almost surely constrained convex optimization","venue":"math.OC","work_id":"bbdbe373-a10d-497d-9513-25b76b6a834a","year":2019},"citing_paper":{"arxiv_id":"1908.01871","last_updated":"2023-03-23T04:05:54Z","snapshot_observed_at":"2026-08-15T01:15:27.282812Z","submitted_at":"2019-08-05T21:39:24Z","title":"Quadratically Regularized Subgradient Methods for Weakly Convex Optimization with Weakly Convex Constraints","version":3},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-14T15:09:34.281282Z"},"links":{"cited_paper":"/paper/1902.00126","citing_paper":"/paper/1908.01871"},"observation_digest":"sha256:a65ea3f5bdde61601544e957127e6dd5f958be3a67ed1a9d86e0ead48bf61aa8","observation_id":"ece0b221-6b84-48ad-8515-7b59286faff8","resolution":{"observed_at":"2026-08-14T15:09:34.725143Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T15:09:35.083408Z","title":"Ghadimi and G","venue":null,"work_id":"b4111f78-0b00-4fec-a1c0-96b778a8cadf","year":2013},"citing_paper":{"arxiv_id":"1908.01871","last_updated":"2023-03-23T04:05:54Z","snapshot_observed_at":"2026-08-15T01:15:27.282812Z","submitted_at":"2019-08-05T21:39:24Z","title":"Quadratically Regularized Subgradient Methods for Weakly Convex Optimization with Weakly Convex Constraints","version":3},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-14T15:09:34.284661Z"},"links":{"citing_paper":"/paper/1908.01871"},"observation_digest":"sha256:6445bd3b34f63886f2c6ab295ebbe5be6bf77689e203a1c180ffc9d4e494db7e","observation_id":"82494155-0e11-4c67-8604-adf8afebd724","resolution":{"observed_at":"2026-08-14T15:09:35.086640Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T15:09:35.073065Z","title":"Ghadimi and G","venue":null,"work_id":"ee0ee625-2cfb-487a-82e5-f4626c0a3b0e","year":2016},"citing_paper":{"arxiv_id":"1908.01871","last_updated":"2023-03-23T04:05:54Z","snapshot_observed_at":"2026-08-15T01:15:27.282812Z","submitted_at":"2019-08-05T21:39:24Z","title":"Quadratically Regularized Subgradient Methods for Weakly Convex Optimization with Weakly Convex Constraints","version":3},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-14T15:09:34.288011Z"},"links":{"citing_paper":"/paper/1908.01871"},"observation_digest":"sha256:a3e8a7b1309591467d557f9ab24f48417250fe12397afa9cf2bc953e8b6c72b0","observation_id":"3b0e19cf-4a03-4ddc-8f43-371661268610","resolution":{"observed_at":"2026-08-14T15:09:35.076442Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T15:09:35.062825Z","title":null,"venue":null,"work_id":"bdb521de-13c2-4c44-a3bd-d4cf16982f8d","year":2016},"citing_paper":{"arxiv_id":"1908.01871","last_updated":"2023-03-23T04:05:54Z","snapshot_observed_at":"2026-08-15T01:15:27.282812Z","submitted_at":"2019-08-05T21:39:24Z","title":"Quadratically Regularized Subgradient Methods for Weakly Convex Optimization with Weakly Convex Constraints","version":3},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-14T15:09:34.291743Z"},"links":{"citing_paper":"/paper/1908.01871"},"observation_digest":"sha256:ab025e5d650ac5649de21bd6637788444d392e8861a07ff02a3e93957667b076","observation_id":"acf359f1-8418-439c-847c-2378e1fbfaf3","resolution":{"observed_at":"2026-08-14T15:09:35.066165Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1607.00345","last_updated":"2016-07-01T18:37:33Z","snapshot_observed_at":"2026-08-14T21:50:11.201365Z","submitted_at":"2016-07-01T18:37:33Z","title":"Convergence Rate of Frank-Wolfe for Non-Convex Objectives","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1607.00345","snapshot_observed_at":"2026-08-14T15:09:34.295571Z","title":"Lacoste-Julien","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"1908.01871","last_updated":"2023-03-23T04:05:54Z","snapshot_observed_at":"2026-08-15T01:15:27.282812Z","submitted_at":"2019-08-05T21:39:24Z","title":"Quadratically Regularized Subgradient Methods for Weakly Convex Optimization with Weakly Convex Constraints","version":3},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-14T15:09:34.295571Z"},"links":{"cited_paper":"/paper/1607.00345","citing_paper":"/paper/1908.01871"},"observation_digest":"sha256:ec366914394a95ffd7bcccdcde97103ce9c318ee6102ea5318d6aa9f8d84df64","observation_id":"f5bf870e-05e4-4c32-a6d1-11cdee381d65","resolution":{"observed_at":"2026-08-14T15:09:34.295571Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1212.2002","last_updated":"2012-12-20T20:55:23Z","snapshot_observed_at":"2026-08-15T00:36:36.609253Z","submitted_at":"2012-12-10T09:22:06Z","title":"A simpler approach to obtaining an O(1/t) convergence rate for the projected stochastic subgradient method","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1212.2002","snapshot_observed_at":"2026-08-14T15:09:34.299532Z","title":"Lacoste-Julien, M","venue":null,"work_id":null,"year":2002},"citing_paper":{"arxiv_id":"1908.01871","last_updated":"2023-03-23T04:05:54Z","snapshot_observed_at":"2026-08-15T01:15:27.282812Z","submitted_at":"2019-08-05T21:39:24Z","title":"Quadratically Regularized Subgradient Methods for Weakly Convex Optimization with Weakly Convex Constraints","version":3},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-14T15:09:34.299532Z"},"links":{"cited_paper":"/paper/1212.2002","citing_paper":"/paper/1908.01871"},"observation_digest":"sha256:0bebc12c103028f4f8d59689ccbf5a21418074ca1977a6295fab2088adab8429","observation_id":"5cb7b1f5-2b10-4f73-855e-8f3807c8356f","resolution":{"observed_at":"2026-08-14T15:09:34.299532Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1805.05411","last_updated":"2019-08-19T00:25:24Z","snapshot_observed_at":"2026-08-14T19:15:26.611593Z","submitted_at":"2018-05-14T20:06:58Z","title":"Accelerated Stochastic Algorithms for Nonconvex Finite-sum and Multi-block Optimization","version":5},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1805.05411","snapshot_observed_at":"2026-08-14T15:09:34.304329Z","title":"Lan and Y","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"1908.01871","last_updated":"2023-03-23T04:05:54Z","snapshot_observed_at":"2026-08-15T01:15:27.282812Z","submitted_at":"2019-08-05T21:39:24Z","title":"Quadratically Regularized Subgradient Methods for Weakly Convex Optimization with Weakly Convex Constraints","version":3},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-14T15:09:34.304329Z"},"links":{"cited_paper":"/paper/1805.05411","citing_paper":"/paper/1908.01871"},"observation_digest":"sha256:a4b350e37725785c151b971cf0ac721173afbf222d5c9f7f7a7efba32c2eca81","observation_id":"aa379352-dd70-45ab-a9c0-82753f0a2e39","resolution":{"observed_at":"2026-08-14T15:09:34.304329Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1604.03887","last_updated":"2020-10-02T15:28:50Z","snapshot_observed_at":"2026-08-14T22:01:49.011142Z","submitted_at":"2016-04-13T17:49:30Z","title":"Algorithms for stochastic optimization with functional or expectation constraints","version":8},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1604.03887","snapshot_observed_at":"2026-08-14T15:09:34.308424Z","title":"Lan and Z","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"1908.01871","last_updated":"2023-03-23T04:05:54Z","snapshot_observed_at":"2026-08-15T01:15:27.282812Z","submitted_at":"2019-08-05T21:39:24Z","title":"Quadratically Regularized Subgradient Methods for Weakly Convex Optimization with Weakly Convex Constraints","version":3},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-14T15:09:34.308424Z"},"links":{"cited_paper":"/paper/1604.03887","citing_paper":"/paper/1908.01871"},"observation_digest":"sha256:e635ff3a2c582ec18faa760814caf1bc47e5d2178ac50b85b3e59a74d6404df4","observation_id":"5e2ddd92-6dec-49a0-9c3e-5e453f480cd7","resolution":{"observed_at":"2026-08-14T15:09:34.308424Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1810.10207","last_updated":"2021-07-07T05:42:21Z","snapshot_observed_at":"2026-08-14T18:10:10.427510Z","submitted_at":"2018-10-24T06:25:01Z","title":"First-order Convergence Theory for Weakly-Convex-Weakly-Concave Min-max Problems","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1810.10207","snapshot_observed_at":"2026-08-14T15:09:34.312907Z","title":null,"venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"1908.01871","last_updated":"2023-03-23T04:05:54Z","snapshot_observed_at":"2026-08-15T01:15:27.282812Z","submitted_at":"2019-08-05T21:39:24Z","title":"Quadratically Regularized Subgradient Methods for Weakly Convex Optimization with Weakly Convex Constraints","version":3},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-14T15:09:34.312907Z"},"links":{"cited_paper":"/paper/1810.10207","citing_paper":"/paper/1908.01871"},"observation_digest":"sha256:6fe38f98f4f9a73ce2ee1ccf13770c73bf2416dd82be61b01a4eb2ceda031d30","observation_id":"0068836e-f984-4856-840a-0354c2b66ae8","resolution":{"observed_at":"2026-08-14T15:09:34.312907Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T15:09:35.051559Z","title":null,"venue":null,"work_id":"dfff4f20-3c85-47b3-82ed-847332d45c21","year":2018},"citing_paper":{"arxiv_id":"1908.01871","last_updated":"2023-03-23T04:05:54Z","snapshot_observed_at":"2026-08-15T01:15:27.282812Z","submitted_at":"2019-08-05T21:39:24Z","title":"Quadratically Regularized Subgradient Methods for Weakly Convex Optimization with Weakly Convex Constraints","version":3},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-14T15:09:34.317053Z"},"links":{"citing_paper":"/paper/1908.01871"},"observation_digest":"sha256:c4da5db93b4340aea124a5262f8e7e5eda4e92bfd43f3d7bb37cf6838344e996","observation_id":"ab86abae-b424-44ae-a208-2cfd544eed84","resolution":{"observed_at":"2026-08-14T15:09:35.054980Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T15:09:35.038486Z","title":null,"venue":null,"work_id":"3857aad6-71c5-4b57-8ab9-3bca997f3029","year":2018},"citing_paper":{"arxiv_id":"1908.01871","last_updated":"2023-03-23T04:05:54Z","snapshot_observed_at":"2026-08-15T01:15:27.282812Z","submitted_at":"2019-08-05T21:39:24Z","title":"Quadratically Regularized Subgradient Methods for Weakly Convex Optimization with Weakly Convex Constraints","version":3},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-14T15:09:34.321559Z"},"links":{"citing_paper":"/paper/1908.01871"},"observation_digest":"sha256:a9d18678f113978f66ef0e872a86dda3cf78375bc418b7a60f04ed956acf6ac4","observation_id":"eaa3b09f-9c80-4818-9d39-4be074d82694","resolution":{"observed_at":"2026-08-14T15:09:35.042875Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T15:09:35.024072Z","title":"Loh et al","venue":null,"work_id":"13ca5e0f-7760-4015-94dc-2202cf693fa3","year":2017},"citing_paper":{"arxiv_id":"1908.01871","last_updated":"2023-03-23T04:05:54Z","snapshot_observed_at":"2026-08-15T01:15:27.282812Z","submitted_at":"2019-08-05T21:39:24Z","title":"Quadratically Regularized Subgradient Methods for Weakly Convex Optimization with Weakly Convex Constraints","version":3},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-14T15:09:34.326231Z"},"links":{"citing_paper":"/paper/1908.01871"},"observation_digest":"sha256:02230978ab562bcf7d6e2fde94ceda9fbb03e86d8b197f64d6ccdeb357300894","observation_id":"4b4317fd-139e-4512-9cec-d47bb91a3969","resolution":{"observed_at":"2026-08-14T15:09:35.029287Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T15:09:35.011031Z","title":"Mahdavi, T","venue":null,"work_id":"2253b601-7d89-45c2-ab2e-989bb200db11","year":2012},"citing_paper":{"arxiv_id":"1908.01871","last_updated":"2023-03-23T04:05:54Z","snapshot_observed_at":"2026-08-15T01:15:27.282812Z","submitted_at":"2019-08-05T21:39:24Z","title":"Quadratically Regularized Subgradient Methods for Weakly Convex Optimization with Weakly Convex Constraints","version":3},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-14T15:09:34.330085Z"},"links":{"citing_paper":"/paper/1908.01871"},"observation_digest":"sha256:bb5e61f722dcc98c35010a447f316b2f108f74e770e814ff64302b247cdcdb77","observation_id":"e9f52977-7c88-4951-91d3-e84fc4b7b9be","resolution":{"observed_at":"2026-08-14T15:09:35.015112Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T15:09:34.999628Z","title":"Nesterov","venue":null,"work_id":"d59e6a5b-d255-4cb6-ad44-fab27c162407","year":2013},"citing_paper":{"arxiv_id":"1908.01871","last_updated":"2023-03-23T04:05:54Z","snapshot_observed_at":"2026-08-15T01:15:27.282812Z","submitted_at":"2019-08-05T21:39:24Z","title":"Quadratically Regularized Subgradient Methods for Weakly Convex Optimization with Weakly Convex Constraints","version":3},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-14T15:09:34.333955Z"},"links":{"citing_paper":"/paper/1908.01871"},"observation_digest":"sha256:5b93b98cfd5d2e785d5a9c9b4902ecf0a07b8fb2753554ae79ec6cfa4c729584","observation_id":"a6a6a6f7-e75a-4524-bd48-3a930cf02706","resolution":{"observed_at":"2026-08-14T15:09:35.003088Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T15:09:34.338208Z","title":"Nocedal and S","venue":null,"work_id":null,"year":2006},"citing_paper":{"arxiv_id":"1908.01871","last_updated":"2023-03-23T04:05:54Z","snapshot_observed_at":"2026-08-15T01:15:27.282812Z","submitted_at":"2019-08-05T21:39:24Z","title":"Quadratically Regularized Subgradient Methods for Weakly Convex Optimization with Weakly Convex Constraints","version":3},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-14T15:09:34.338208Z"},"links":{"citing_paper":"/paper/1908.01871"},"observation_digest":"sha256:412cb70097874bfa061d4c138cdfea059c2f028d18f9887ec73dc7c7229bc4b0","observation_id":"b7f19e78-84a7-46cd-8b7c-05955db521d0","resolution":{"observed_at":"2026-08-14T15:09:34.338208Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T15:09:34.982509Z","title":"Paquette, H","venue":null,"work_id":"87a5848e-54c6-4f73-8fb8-fbddbb9e14b2","year":2018},"citing_paper":{"arxiv_id":"1908.01871","last_updated":"2023-03-23T04:05:54Z","snapshot_observed_at":"2026-08-15T01:15:27.282812Z","submitted_at":"2019-08-05T21:39:24Z","title":"Quadratically Regularized Subgradient Methods for Weakly Convex Optimization with Weakly Convex Constraints","version":3},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-14T15:09:34.342947Z"},"links":{"citing_paper":"/paper/1908.01871"},"observation_digest":"sha256:8c11170bb0288a25860cedf863d00acebb60f559164fd7e208d5b961415472b5","observation_id":"0efa0082-4ad3-46ce-bc9b-7e9bf19cc81d","resolution":{"observed_at":"2026-08-14T15:09:34.985770Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T15:09:34.972675Z","title":null,"venue":null,"work_id":"1c8448f7-6584-449e-a41b-8e3f48ebe934","year":1967},"citing_paper":{"arxiv_id":"1908.01871","last_updated":"2023-03-23T04:05:54Z","snapshot_observed_at":"2026-08-15T01:15:27.282812Z","submitted_at":"2019-08-05T21:39:24Z","title":"Quadratically Regularized Subgradient Methods for Weakly Convex Optimization with Weakly Convex Constraints","version":3},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-14T15:09:34.346966Z"},"links":{"citing_paper":"/paper/1908.01871"},"observation_digest":"sha256:54cf90b01006885a027c49e3de0f1720825643cf65c7465f95ded3ef2914f002","observation_id":"30d14378-e351-4c1d-8aeb-b0445374d03a","resolution":{"observed_at":"2026-08-14T15:09:34.975868Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1810.02060","last_updated":"2021-05-11T03:41:28Z","snapshot_observed_at":"2026-08-14T18:19:41.323047Z","submitted_at":"2018-10-04T05:07:21Z","title":"Weakly-Convex Concave Min-Max Optimization: Provable Algorithms and Applications in Machine Learning","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1810.02060","snapshot_observed_at":"2026-08-14T15:09:34.350523Z","title":"Rafique, M","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"1908.01871","last_updated":"2023-03-23T04:05:54Z","snapshot_observed_at":"2026-08-15T01:15:27.282812Z","submitted_at":"2019-08-05T21:39:24Z","title":"Quadratically Regularized Subgradient Methods for Weakly Convex Optimization with Weakly Convex Constraints","version":3},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-14T15:09:34.350523Z"},"links":{"cited_paper":"/paper/1810.02060","citing_paper":"/paper/1908.01871"},"observation_digest":"sha256:7c1a1fa15f002fef022cb585f2d9f62610f778312d55c1581d54c263a9f6766e","observation_id":"8a01cffa-3ca9-41e6-a446-f73592b41529","resolution":{"observed_at":"2026-08-14T15:09:34.350523Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T15:09:34.962720Z","title":null,"venue":null,"work_id":"2cf34149-5289-45bb-a0a8-ab12bc5f8408","year":2016},"citing_paper":{"arxiv_id":"1908.01871","last_updated":"2023-03-23T04:05:54Z","snapshot_observed_at":"2026-08-15T01:15:27.282812Z","submitted_at":"2019-08-05T21:39:24Z","title":"Quadratically Regularized Subgradient Methods for Weakly Convex Optimization with Weakly Convex Constraints","version":3},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-14T15:09:34.354296Z"},"links":{"citing_paper":"/paper/1908.01871"},"observation_digest":"sha256:50a4e01bf9e1e9fb7e16a226c69073fd2c5aa324c0de8d41892870f0df07770b","observation_id":"6592f47c-eaf9-40dc-abd5-6ca6f6f1655e","resolution":{"observed_at":"2026-08-14T15:09:34.965847Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T15:09:34.951914Z","title":null,"venue":null,"work_id":"6fe35eb2-a9a2-48fa-bef6-3814dfc7aedb","year":1971},"citing_paper":{"arxiv_id":"1908.01871","last_updated":"2023-03-23T04:05:54Z","snapshot_observed_at":"2026-08-15T01:15:27.282812Z","submitted_at":"2019-08-05T21:39:24Z","title":"Quadratically Regularized Subgradient Methods for Weakly Convex Optimization with Weakly Convex Constraints","version":3},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-14T15:09:34.357686Z"},"links":{"citing_paper":"/paper/1908.01871"},"observation_digest":"sha256:0970c86873482fec0f5411e63780a495f6d02dd46038c4b7db689c30483bb857","observation_id":"2a4e20c3-6296-4810-9089-aaea8898f2c7","resolution":{"observed_at":"2026-08-14T15:09:34.955744Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T15:09:34.939799Z","title":"Rigollet and X","venue":null,"work_id":"3bcf60b7-befb-4dc0-ba65-142acdb36554","year":2011},"citing_paper":{"arxiv_id":"1908.01871","last_updated":"2023-03-23T04:05:54Z","snapshot_observed_at":"2026-08-15T01:15:27.282812Z","submitted_at":"2019-08-05T21:39:24Z","title":"Quadratically Regularized Subgradient Methods for Weakly Convex Optimization with Weakly Convex Constraints","version":3},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-14T15:09:34.361145Z"},"links":{"citing_paper":"/paper/1908.01871"},"observation_digest":"sha256:d90fb5a3c2780b86f7e0b3296f1cf92b37ba994be907a2255454e63b88cc97fd","observation_id":"bc10cdca-da25-45ad-9e4e-53b309d7ab94","resolution":{"observed_at":"2026-08-14T15:09:34.943498Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T15:09:34.928155Z","title":"Rockafellar","venue":null,"work_id":"a09946a8-2b26-40a7-88c2-f25956e0a626","year":1970},"citing_paper":{"arxiv_id":"1908.01871","last_updated":"2023-03-23T04:05:54Z","snapshot_observed_at":"2026-08-15T01:15:27.282812Z","submitted_at":"2019-08-05T21:39:24Z","title":"Quadratically Regularized Subgradient Methods for Weakly Convex Optimization with Weakly Convex Constraints","version":3},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-14T15:09:34.364383Z"},"links":{"citing_paper":"/paper/1908.01871"},"observation_digest":"sha256:925e917d45515edc1cceaeb240516b61e2af6ac9b645fe5673602cf2abe82deb","observation_id":"bff1facc-5c26-4f28-9928-b1dfae0aff36","resolution":{"observed_at":"2026-08-14T15:09:34.932052Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T15:09:34.915950Z","title":null,"venue":null,"work_id":"751af07c-51e6-45e3-ac15-66b083188eec","year":1976},"citing_paper":{"arxiv_id":"1908.01871","last_updated":"2023-03-23T04:05:54Z","snapshot_observed_at":"2026-08-15T01:15:27.282812Z","submitted_at":"2019-08-05T21:39:24Z","title":"Quadratically Regularized Subgradient Methods for Weakly Convex Optimization with Weakly Convex Constraints","version":3},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-14T15:09:34.367761Z"},"links":{"citing_paper":"/paper/1908.01871"},"observation_digest":"sha256:a25ebca07c14f11a15ce50a731445e2291125efbc7ccc22ebb3721b40daef024","observation_id":"350cb71c-83da-4afb-9cc7-9ac7fb2d29aa","resolution":{"observed_at":"2026-08-14T15:09:34.920150Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T15:09:34.904731Z","title":null,"venue":null,"work_id":"b76b3584-4dec-4da0-93d0-db7729bdb862","year":2006},"citing_paper":{"arxiv_id":"1908.01871","last_updated":"2023-03-23T04:05:54Z","snapshot_observed_at":"2026-08-15T01:15:27.282812Z","submitted_at":"2019-08-05T21:39:24Z","title":"Quadratically Regularized Subgradient Methods for Weakly Convex Optimization with Weakly Convex Constraints","version":3},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-08-14T15:09:34.371053Z"},"links":{"citing_paper":"/paper/1908.01871"},"observation_digest":"sha256:1a4096548148b1e5bd72f4c5da55a4da38c1f06c2f093402e2f863fd23807708","observation_id":"724f523f-9ea1-43e7-9afa-bc2126014889","resolution":{"observed_at":"2026-08-14T15:09:34.908388Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T15:09:34.893767Z","title":null,"venue":null,"work_id":"cc49388c-164a-49c0-be23-adb8162c95f4","year":1974},"citing_paper":{"arxiv_id":"1908.01871","last_updated":"2023-03-23T04:05:54Z","snapshot_observed_at":"2026-08-15T01:15:27.282812Z","submitted_at":"2019-08-05T21:39:24Z","title":"Quadratically Regularized Subgradient Methods for Weakly Convex Optimization with Weakly Convex Constraints","version":3},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-08-14T15:09:34.374984Z"},"links":{"citing_paper":"/paper/1908.01871"},"observation_digest":"sha256:e15a812feb101cf22c965f652b2925c696eb40f367e45483b3d134df1cdc1974","observation_id":"e9aa3c56-62ff-43dc-aa24-52d00ab2109a","resolution":{"observed_at":"2026-08-14T15:09:34.897722Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1806.00709","last_updated":"2018-06-02T22:05:33Z","snapshot_observed_at":"2026-08-14T19:08:12.190613Z","submitted_at":"2018-06-02T22:05:33Z","title":"Primal-Dual Frank-Wolfe for Constrained Stochastic Programs with Convex and Non-convex Objectives","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1806.00709","snapshot_observed_at":"2026-08-14T15:09:34.378182Z","title":"Wei and M","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"1908.01871","last_updated":"2023-03-23T04:05:54Z","snapshot_observed_at":"2026-08-15T01:15:27.282812Z","submitted_at":"2019-08-05T21:39:24Z","title":"Quadratically Regularized Subgradient Methods for Weakly Convex Optimization with Weakly Convex Constraints","version":3},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-08-14T15:09:34.378182Z"},"links":{"cited_paper":"/paper/1806.00709","citing_paper":"/paper/1908.01871"},"observation_digest":"sha256:70ae86e5b08a7d82d923ba434043e676b399547425137c8ae4739bc4c5cf5ec5","observation_id":"7576804c-ce00-4ba5-8281-ef75975ec661","resolution":{"observed_at":"2026-08-14T15:09:34.378182Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T15:09:34.883790Z","title":null,"venue":null,"work_id":"9820a72a-f1f5-4f5b-89a1-181a98933825","year":2018},"citing_paper":{"arxiv_id":"1908.01871","last_updated":"2023-03-23T04:05:54Z","snapshot_observed_at":"2026-08-15T01:15:27.282812Z","submitted_at":"2019-08-05T21:39:24Z","title":"Quadratically Regularized Subgradient Methods for Weakly Convex Optimization with Weakly Convex Constraints","version":3},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-08-14T15:09:34.381630Z"},"links":{"citing_paper":"/paper/1908.01871"},"observation_digest":"sha256:18907e6a69da08015eb828d80170809511024bc2ecb89735ecf8ac146f9217c3","observation_id":"f1a363df-693a-48c3-89fd-caace6b10b3a","resolution":{"observed_at":"2026-08-14T15:09:34.887178Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T15:09:34.873133Z","title":"Weston and C","venue":null,"work_id":"3d8c6e79-d6fe-41dc-8689-76c20fb8eec1","year":1998},"citing_paper":{"arxiv_id":"1908.01871","last_updated":"2023-03-23T04:05:54Z","snapshot_observed_at":"2026-08-15T01:15:27.282812Z","submitted_at":"2019-08-05T21:39:24Z","title":"Quadratically Regularized Subgradient Methods for Weakly Convex Optimization with Weakly Convex Constraints","version":3},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-08-14T15:09:34.385034Z"},"links":{"citing_paper":"/paper/1908.01871"},"observation_digest":"sha256:13f530e68edc7c3a8eb91285f659e05e4803d8979dc393aa57cb2159d3af848b","observation_id":"b49f4525-c44d-455c-be81-c7ca0645091b","resolution":{"observed_at":"2026-08-14T15:09:34.876244Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1711.08020","last_updated":"2017-11-21T20:22:04Z","snapshot_observed_at":"2026-08-14T20:11:19.248843Z","submitted_at":"2017-11-21T20:22:04Z","title":"First-order methods for constrained convex programming based on linearized augmented Lagrangian function","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1711.08020","snapshot_observed_at":"2026-08-14T15:09:34.388367Z","title":null,"venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"1908.01871","last_updated":"2023-03-23T04:05:54Z","snapshot_observed_at":"2026-08-15T01:15:27.282812Z","submitted_at":"2019-08-05T21:39:24Z","title":"Quadratically Regularized Subgradient Methods for Weakly Convex Optimization with Weakly Convex Constraints","version":3},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-08-14T15:09:34.388367Z"},"links":{"cited_paper":"/paper/1711.08020","citing_paper":"/paper/1908.01871"},"observation_digest":"sha256:74e5458a999e85624bf1c0bf2c4d90851a249bf6406bc98922466bcee9d84123","observation_id":"902ef5a6-9fec-4d47-9fe4-d4cc56b22e18","resolution":{"observed_at":"2026-08-14T15:09:34.388367Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1711.05812","last_updated":"2018-03-25T02:56:21Z","snapshot_observed_at":"2026-08-14T20:13:14.518706Z","submitted_at":"2017-11-15T21:20:54Z","title":"Iteration complexity of inexact augmented Lagrangian methods for constrained convex programming","version":2},"cited_work":{"arxiv_id":"1711.05812","doi":null,"metadata_source":"pith","pith_arxiv_id":"1711.05812","snapshot_observed_at":"2026-08-14T15:09:34.615202Z","title":"Iteration complexity of inexact augmented Lagrangian methods for constrained convex programming","venue":"math.OC","work_id":"cb2344ca-064a-40d3-9983-bf113a7b85d8","year":2017},"citing_paper":{"arxiv_id":"1908.01871","last_updated":"2023-03-23T04:05:54Z","snapshot_observed_at":"2026-08-15T01:15:27.282812Z","submitted_at":"2019-08-05T21:39:24Z","title":"Quadratically Regularized Subgradient Methods for Weakly Convex Optimization with Weakly Convex Constraints","version":3},"reference_index":48,"source":"pdf_text","source_observed_at":"2026-08-14T15:09:34.392557Z"},"links":{"cited_paper":"/paper/1711.05812","citing_paper":"/paper/1908.01871"},"observation_digest":"sha256:3f5ffdb26baed59481491104559f68bfb25e148862fa4aaaf106d8d49a6cc65f","observation_id":"c28cb859-9d3b-49eb-8875-9ee27e7113c8","resolution":{"observed_at":"2026-08-14T15:09:34.619615Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1802.02724","last_updated":"2019-06-17T18:01:22Z","snapshot_observed_at":"2026-08-14T19:47:43.179671Z","submitted_at":"2018-02-08T05:54:22Z","title":"Primal-dual stochastic gradient method for convex programs with many functional constraints","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1802.02724","snapshot_observed_at":"2026-08-14T15:09:34.397202Z","title":null,"venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"1908.01871","last_updated":"2023-03-23T04:05:54Z","snapshot_observed_at":"2026-08-15T01:15:27.282812Z","submitted_at":"2019-08-05T21:39:24Z","title":"Quadratically Regularized Subgradient Methods for Weakly Convex Optimization with Weakly Convex Constraints","version":3},"reference_index":49,"source":"pdf_text","source_observed_at":"2026-08-14T15:09:34.397202Z"},"links":{"cited_paper":"/paper/1802.02724","citing_paper":"/paper/1908.01871"},"observation_digest":"sha256:142ac9719593d29fa04671b9a961c99b5c8547f5508167b720fb54ebb1889262","observation_id":"bb8c759c-4475-4990-83f7-3aeb1de25150","resolution":{"observed_at":"2026-08-14T15:09:34.397202Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1805.07880","last_updated":"2018-05-21T03:41:37Z","snapshot_observed_at":"2026-08-14T19:13:09.419331Z","submitted_at":"2018-05-21T03:41:37Z","title":"Learning with Non-Convex Truncated Losses by SGD","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1805.07880","snapshot_observed_at":"2026-08-14T15:09:34.401796Z","title":null,"venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"1908.01871","last_updated":"2023-03-23T04:05:54Z","snapshot_observed_at":"2026-08-15T01:15:27.282812Z","submitted_at":"2019-08-05T21:39:24Z","title":"Quadratically Regularized Subgradient Methods for Weakly Convex Optimization with Weakly Convex Constraints","version":3},"reference_index":50,"source":"pdf_text","source_observed_at":"2026-08-14T15:09:34.401796Z"},"links":{"cited_paper":"/paper/1805.07880","citing_paper":"/paper/1908.01871"},"observation_digest":"sha256:d25bf8a81f8b66d07b92448aae5751017ade5226c53565edea8d00621acff136","observation_id":"0a7e19b0-0d27-403b-8165-c45b0b8069ac","resolution":{"observed_at":"2026-08-14T15:09:34.401796Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"1604.0325","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T15:09:34.573282Z","title":"Y ang, Q","venue":null,"work_id":"0959737d-3cb8-4859-93c8-663412369288","year":2016},"citing_paper":{"arxiv_id":"1908.01871","last_updated":"2023-03-23T04:05:54Z","snapshot_observed_at":"2026-08-15T01:15:27.282812Z","submitted_at":"2019-08-05T21:39:24Z","title":"Quadratically Regularized Subgradient Methods for Weakly Convex Optimization with Weakly Convex Constraints","version":3},"reference_index":51,"source":"pdf_text","source_observed_at":"2026-08-14T15:09:34.406315Z"},"links":{"citing_paper":"/paper/1908.01871"},"observation_digest":"sha256:4072a69bcdcd216fa29cfc1d220d3c733bad9970bf428c708a34643f1954e9f1","observation_id":"1172c827-baf3-42ce-a542-f21ba466930f","resolution":{"observed_at":"2026-08-14T15:09:34.579237Z","resolver_source":"raw_fallback","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T15:09:34.861648Z","title":"Y ang, Q","venue":null,"work_id":"7df7e1f0-c282-4283-a6c8-d59eb9b2cc2f","year":null},"citing_paper":{"arxiv_id":"1908.01871","last_updated":"2023-03-23T04:05:54Z","snapshot_observed_at":"2026-08-15T01:15:27.282812Z","submitted_at":"2019-08-05T21:39:24Z","title":"Quadratically Regularized Subgradient Methods for Weakly Convex Optimization with Weakly Convex Constraints","version":3},"reference_index":52,"source":"pdf_text","source_observed_at":"2026-08-14T15:09:34.410182Z"},"links":{"citing_paper":"/paper/1908.01871"},"observation_digest":"sha256:e054c6b0f3bd61f59b2474c24d71cb1ec137e70c5de84fb6adde46f8c89a7cb6","observation_id":"a6d88b42-a91a-4be8-8104-cc4a54abdfaf","resolution":{"observed_at":"2026-08-14T15:09:34.865082Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T15:09:34.849722Z","title":null,"venue":null,"work_id":"cb7d6dcf-3ff5-4bf6-8870-e6c81bd2fc33","year":2017},"citing_paper":{"arxiv_id":"1908.01871","last_updated":"2023-03-23T04:05:54Z","snapshot_observed_at":"2026-08-15T01:15:27.282812Z","submitted_at":"2019-08-05T21:39:24Z","title":"Quadratically Regularized Subgradient Methods for Weakly Convex Optimization with Weakly Convex Constraints","version":3},"reference_index":53,"source":"pdf_text","source_observed_at":"2026-08-14T15:09:34.414534Z"},"links":{"citing_paper":"/paper/1908.01871"},"observation_digest":"sha256:bba6fa5ad4e402ee2bfcdb503648b77647980300b2a637b03b328cdc490853ee","observation_id":"7adaf468-1340-4f06-9d2b-ae406cf036a8","resolution":{"observed_at":"2026-08-14T15:09:34.853682Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T15:09:34.837218Z","title":"Y u and M","venue":null,"work_id":"a43e5eec-60c3-44d5-aa50-2af693795478","year":2017},"citing_paper":{"arxiv_id":"1908.01871","last_updated":"2023-03-23T04:05:54Z","snapshot_observed_at":"2026-08-15T01:15:27.282812Z","submitted_at":"2019-08-05T21:39:24Z","title":"Quadratically Regularized Subgradient Methods for Weakly Convex Optimization with Weakly Convex Constraints","version":3},"reference_index":54,"source":"pdf_text","source_observed_at":"2026-08-14T15:09:34.419188Z"},"links":{"citing_paper":"/paper/1908.01871"},"observation_digest":"sha256:797e903950c8aadc930255070a36fe5b7d6f55b31ccc556d6a4d1840b314e734","observation_id":"ec558fa8-cba4-42ab-b979-f820c9e27956","resolution":{"observed_at":"2026-08-14T15:09:34.841470Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T15:09:34.824437Z","title":null,"venue":null,"work_id":"2e78a998-badb-400c-aed8-d0eb3ea607e4","year":2017},"citing_paper":{"arxiv_id":"1908.01871","last_updated":"2023-03-23T04:05:54Z","snapshot_observed_at":"2026-08-15T01:15:27.282812Z","submitted_at":"2019-08-05T21:39:24Z","title":"Quadratically Regularized Subgradient Methods for Weakly Convex Optimization with Weakly Convex Constraints","version":3},"reference_index":55,"source":"pdf_text","source_observed_at":"2026-08-14T15:09:34.423416Z"},"links":{"citing_paper":"/paper/1908.01871"},"observation_digest":"sha256:584567f5e3172be6cc78602397a00f602f2af330500d54be51e230a2db8848ee","observation_id":"f15016ec-644f-463b-bc8a-6aca43304e8f","resolution":{"observed_at":"2026-08-14T15:09:34.828559Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1507.05259","last_updated":"2017-03-23T18:10:34Z","snapshot_observed_at":"2026-08-14T22:39:52.725770Z","submitted_at":"2015-07-19T07:34:25Z","title":"Fairness Constraints: Mechanisms for Fair Classification","version":5},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1507.05259","snapshot_observed_at":"2026-08-14T15:09:34.427432Z","title":null,"venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"1908.01871","last_updated":"2023-03-23T04:05:54Z","snapshot_observed_at":"2026-08-15T01:15:27.282812Z","submitted_at":"2019-08-05T21:39:24Z","title":"Quadratically Regularized Subgradient Methods for Weakly Convex Optimization with Weakly Convex Constraints","version":3},"reference_index":56,"source":"pdf_text","source_observed_at":"2026-08-14T15:09:34.427432Z"},"links":{"cited_paper":"/paper/1507.05259","citing_paper":"/paper/1908.01871"},"observation_digest":"sha256:1d05b1fff5d8c9b5bdf65b493297489089da344a5ee82e8d6cde962bfc4c43d9","observation_id":"c816f9a0-80d4-4d65-8b4f-68b332500c8a","resolution":{"observed_at":"2026-08-14T15:09:34.427432Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1304.0740","last_updated":"2013-04-02T19:11:23Z","snapshot_observed_at":"2026-08-15T00:22:52.706191Z","submitted_at":"2013-04-02T19:11:23Z","title":"O(logT) Projections for Stochastic Optimization of Smooth and Strongly Convex Functions","version":1},"cited_work":{"arxiv_id":"1304.0740","doi":null,"metadata_source":"pith","pith_arxiv_id":"1304.0740","snapshot_observed_at":"2026-08-14T15:09:34.483588Z","title":"O(logT) Projections for Stochastic Optimization of Smooth and Strongly Convex Functions","venue":"cs.LG","work_id":"b81924d4-2730-436d-b705-999b6c5bda74","year":2013},"citing_paper":{"arxiv_id":"1908.01871","last_updated":"2023-03-23T04:05:54Z","snapshot_observed_at":"2026-08-15T01:15:27.282812Z","submitted_at":"2019-08-05T21:39:24Z","title":"Quadratically Regularized Subgradient Methods for Weakly Convex Optimization with Weakly Convex Constraints","version":3},"reference_index":57,"source":"pdf_text","source_observed_at":"2026-08-14T15:09:34.431630Z"},"links":{"cited_paper":"/paper/1304.0740","citing_paper":"/paper/1908.01871"},"observation_digest":"sha256:31afd6fe91ba871a5b296a1ee1a883203f65abbac591ffcbb8322ae865c4ed1e","observation_id":"b2c518c3-412b-40c7-b2ff-36ccb72193db","resolution":{"observed_at":"2026-08-14T15:09:34.490942Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1806.04781","last_updated":"2018-06-12T21:56:48Z","snapshot_observed_at":"2026-08-14T19:04:29.994744Z","submitted_at":"2018-06-12T21:56:48Z","title":"On the Convergence Rate of Stochastic Mirror Descent for Nonsmooth Nonconvex Optimization","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1806.04781","snapshot_observed_at":"2026-08-14T15:09:34.435217Z","title":"Zhang and N","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"1908.01871","last_updated":"2023-03-23T04:05:54Z","snapshot_observed_at":"2026-08-15T01:15:27.282812Z","submitted_at":"2019-08-05T21:39:24Z","title":"Quadratically Regularized Subgradient Methods for Weakly Convex Optimization with Weakly Convex Constraints","version":3},"reference_index":58,"source":"pdf_text","source_observed_at":"2026-08-14T15:09:34.435217Z"},"links":{"cited_paper":"/paper/1806.04781","citing_paper":"/paper/1908.01871"},"observation_digest":"sha256:35a6a5f995d682723b5a899f7d9b436787fb9d0bf22eb99852ef16ad3bec9a02","observation_id":"6b4ce2e1-4c12-477b-ae31-c117f285cefc","resolution":{"observed_at":"2026-08-14T15:09:34.435217Z","resolver_source":null,"status":"malformed_identifier"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"1908.01871","last_updated":"2023-03-23T04:05:54Z","latest_version":3,"primary_category":"math.OC","snapshot_observed_at":"2026-08-15T01:15:27.282812Z","submitted_at":"2019-08-05T21:39:24Z","title":"Quadratically Regularized Subgradient Methods for Weakly Convex Optimization with Weakly Convex Constraints"},"reference_resolution":{"displayed":58,"state_counts":{"malformed_identifier":1,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":34,"verified_exact":5,"verified_fuzzy":18},"total_outbound_references":58},"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":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"thesis":"As of 15 August 2026, this Paper Citation Record lists 58 of 58 outbound references and 3 inbound Pith citation observations for arXiv:1908.01871."}