{"as_of":"2026-08-13T13:46:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:5a5c82fd35a9f16465f6ba94612ff8c39f32ea530dc400e2c738e16a6d7055d6","coverage":[{"denominator":59,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":59,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-12T15:38:59.305228Z","state":"measured"},{"denominator":59,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":59,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-13T06:32:02.005865+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/2411.14166/citation-record","integrity":"/paper/2411.14166/integrity","json":"/paper/2411.14166/citation-record.json","paper":"/paper/2411.14166"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T15:39:01.331501Z","title":null,"venue":null,"work_id":"0364d08a-e02e-4cf9-8d32-7fd2b9ef60cb","year":2020},"citing_paper":{"arxiv_id":"2411.14166","last_updated":"2024-12-17T09:38:53Z","snapshot_observed_at":"2026-08-12T22:40:55.546075Z","submitted_at":"2024-11-21T14:23:06Z","title":"SPARKLE: A Unified Single-Loop Primal-Dual Framework for Decentralized Bilevel Optimization","version":3},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-12T15:38:58.778138Z"},"links":{"citing_paper":"/paper/2411.14166"},"observation_digest":"sha256:9bfe947049b9b125497211d9a84c233f1aff03ced3fbbb46d3905749fad8c7d3","observation_id":"fbe1dd60-540e-4772-9682-7b3e1c5d26c9","resolution":{"observed_at":"2026-08-12T15:39:01.340944Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T15:39:01.300073Z","title":null,"venue":null,"work_id":"01f79164-a5ac-47bc-bc40-76dbad527e8e","year":2022},"citing_paper":{"arxiv_id":"2411.14166","last_updated":"2024-12-17T09:38:53Z","snapshot_observed_at":"2026-08-12T22:40:55.546075Z","submitted_at":"2024-11-21T14:23:06Z","title":"SPARKLE: A Unified Single-Loop Primal-Dual Framework for Decentralized Bilevel Optimization","version":3},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-12T15:38:58.789115Z"},"links":{"citing_paper":"/paper/2411.14166"},"observation_digest":"sha256:e2e2eb7cf0cc2123b43f4b32e5dc9cd2d2827484546e354de321deaaadf29bc7","observation_id":"b0076a28-f1b8-4ca2-8100-6a3f1643c7c3","resolution":{"observed_at":"2026-08-12T15:39:01.306042Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T15:39:01.272932Z","title":"Arora, S","venue":null,"work_id":"75a1d552-c519-455a-9888-aa019b5ceb94","year":2020},"citing_paper":{"arxiv_id":"2411.14166","last_updated":"2024-12-17T09:38:53Z","snapshot_observed_at":"2026-08-12T22:40:55.546075Z","submitted_at":"2024-11-21T14:23:06Z","title":"SPARKLE: A Unified Single-Loop Primal-Dual Framework for Decentralized Bilevel Optimization","version":3},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-12T15:38:58.797691Z"},"links":{"citing_paper":"/paper/2411.14166"},"observation_digest":"sha256:f0a38d05a5c9b67edeef46cb845b16e011997da18c4f2a0f9a44e07d05485cf4","observation_id":"35b36d6a-e472-448a-8a9f-c91d4556a49d","resolution":{"observed_at":"2026-08-12T15:39:01.283962Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T15:39:01.236993Z","title":"Bertinetto, J","venue":null,"work_id":"66d39b79-1976-4312-9fc7-f1a0fa0046d4","year":2019},"citing_paper":{"arxiv_id":"2411.14166","last_updated":"2024-12-17T09:38:53Z","snapshot_observed_at":"2026-08-12T22:40:55.546075Z","submitted_at":"2024-11-21T14:23:06Z","title":"SPARKLE: A Unified Single-Loop Primal-Dual Framework for Decentralized Bilevel Optimization","version":3},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-12T15:38:58.810779Z"},"links":{"citing_paper":"/paper/2411.14166"},"observation_digest":"sha256:f456325ebbe3e350417fcbb405f7b78c40bdc7ffe60a516df8e70c55f16f8a38","observation_id":"a8692b2c-c6d0-4a21-9968-44e2a80089be","resolution":{"observed_at":"2026-08-12T15:39:01.245825Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T15:39:01.213088Z","title":"Chang, M","venue":null,"work_id":"71773219-78e9-4b8f-be41-e336c22334d8","year":2014},"citing_paper":{"arxiv_id":"2411.14166","last_updated":"2024-12-17T09:38:53Z","snapshot_observed_at":"2026-08-12T22:40:55.546075Z","submitted_at":"2024-11-21T14:23:06Z","title":"SPARKLE: A Unified Single-Loop Primal-Dual Framework for Decentralized Bilevel Optimization","version":3},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-12T15:38:58.821965Z"},"links":{"citing_paper":"/paper/2411.14166"},"observation_digest":"sha256:11a16d1fe7f1f46bb2203d6ec2326662b7fa389ff9ba071ddb125827bdb98666","observation_id":"611f07d6-e145-4f33-bca8-f0de23850e1b","resolution":{"observed_at":"2026-08-12T15:39:01.222114Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T15:39:01.172758Z","title":"Chen and A","venue":null,"work_id":"f2c72409-de3d-45d9-a5c4-eb710085cf25","year":2012},"citing_paper":{"arxiv_id":"2411.14166","last_updated":"2024-12-17T09:38:53Z","snapshot_observed_at":"2026-08-12T22:40:55.546075Z","submitted_at":"2024-11-21T14:23:06Z","title":"SPARKLE: A Unified Single-Loop Primal-Dual Framework for Decentralized Bilevel Optimization","version":3},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-12T15:38:58.827513Z"},"links":{"citing_paper":"/paper/2411.14166"},"observation_digest":"sha256:9b0d254cc6fe34854a13b2fe855146a7006f3ac90c62d4bfd6f541cac532a34d","observation_id":"6e598d5b-a951-406e-a53d-79474511e867","resolution":{"observed_at":"2026-08-12T15:39:01.178473Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T15:39:01.155533Z","title":null,"venue":null,"work_id":"8c7e8e6b-3d08-42a9-b635-398de9565f86","year":2022},"citing_paper":{"arxiv_id":"2411.14166","last_updated":"2024-12-17T09:38:53Z","snapshot_observed_at":"2026-08-12T22:40:55.546075Z","submitted_at":"2024-11-21T14:23:06Z","title":"SPARKLE: A Unified Single-Loop Primal-Dual Framework for Decentralized Bilevel Optimization","version":3},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-12T15:38:58.836105Z"},"links":{"citing_paper":"/paper/2411.14166"},"observation_digest":"sha256:4f4471f88eda5d9f9b1df15d6b37cd4d502e86048c0fbf95b653ee8ea67cdcd6","observation_id":"bace8cf9-799b-40c2-9a68-321238c67e64","resolution":{"observed_at":"2026-08-12T15:39:01.160741Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T15:39:01.133384Z","title":null,"venue":null,"work_id":"3f336ad0-4de8-435b-a105-85ec36359a4d","year":2021},"citing_paper":{"arxiv_id":"2411.14166","last_updated":"2024-12-17T09:38:53Z","snapshot_observed_at":"2026-08-12T22:40:55.546075Z","submitted_at":"2024-11-21T14:23:06Z","title":"SPARKLE: A Unified Single-Loop Primal-Dual Framework for Decentralized Bilevel Optimization","version":3},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-12T15:38:58.842772Z"},"links":{"citing_paper":"/paper/2411.14166"},"observation_digest":"sha256:785edaaf457a7c0b9eaa232eb7e617ad3798c3c20c7db9cf0bca6f2e6fede924","observation_id":"cb11a721-e8ff-4ba3-95a9-011b07c79109","resolution":{"observed_at":"2026-08-12T15:39:01.140519Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2206.05670","last_updated":"2022-06-12T05:46:21Z","snapshot_observed_at":"2026-07-06T13:19:51.148848Z","submitted_at":"2022-06-12T05:46:21Z","title":"Decentralized Bilevel Optimization","version":1},"cited_work":{"arxiv_id":"2206.05670","doi":null,"metadata_source":"pith","pith_arxiv_id":"2206.05670","snapshot_observed_at":"2026-08-12T15:38:59.883412Z","title":"Decentralized Bilevel Optimization","venue":"math.OC","work_id":"e5b1d830-026c-4918-bb9d-ee63d89e4460","year":2022},"citing_paper":{"arxiv_id":"2411.14166","last_updated":"2024-12-17T09:38:53Z","snapshot_observed_at":"2026-08-12T22:40:55.546075Z","submitted_at":"2024-11-21T14:23:06Z","title":"SPARKLE: A Unified Single-Loop Primal-Dual Framework for Decentralized Bilevel Optimization","version":3},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-12T15:38:58.854926Z"},"links":{"cited_paper":"/paper/2206.05670","citing_paper":"/paper/2411.14166"},"observation_digest":"sha256:fe97fefb1fbd40a078dec9bfa0ac5ccedae8122ff017d35520fd517b693e2b1a","observation_id":"77a4965a-f14b-429f-9c78-f7884537e56e","resolution":{"observed_at":"2026-08-12T15:38:59.904429Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T15:39:01.104409Z","title":null,"venue":null,"work_id":"06e0afef-87d6-4df3-a0b9-6e94c85c2537","year":2023},"citing_paper":{"arxiv_id":"2411.14166","last_updated":"2024-12-17T09:38:53Z","snapshot_observed_at":"2026-08-12T22:40:55.546075Z","submitted_at":"2024-11-21T14:23:06Z","title":"SPARKLE: A Unified Single-Loop Primal-Dual Framework for Decentralized Bilevel Optimization","version":3},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-12T15:38:58.867853Z"},"links":{"citing_paper":"/paper/2411.14166"},"observation_digest":"sha256:057143fd3b5fbe8f138918ea60b97baa0afc6eaf4441afdf5e03a067e3bc43b7","observation_id":"b28c4f4a-fabb-4c75-a57b-be511f7bba86","resolution":{"observed_at":"2026-08-12T15:39:01.116148Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2306.12067","last_updated":"2023-06-21T07:32:29Z","snapshot_observed_at":"2026-08-13T11:12:50.583486Z","submitted_at":"2023-06-21T07:32:29Z","title":"Optimal Algorithms for Stochastic Bilevel Optimization under Relaxed Smoothness Conditions","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2306.12067","snapshot_observed_at":"2026-08-12T15:38:58.875393Z","title":null,"venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2411.14166","last_updated":"2024-12-17T09:38:53Z","snapshot_observed_at":"2026-08-12T22:40:55.546075Z","submitted_at":"2024-11-21T14:23:06Z","title":"SPARKLE: A Unified Single-Loop Primal-Dual Framework for Decentralized Bilevel Optimization","version":3},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-12T15:38:58.875393Z"},"links":{"cited_paper":"/paper/2306.12067","citing_paper":"/paper/2411.14166"},"observation_digest":"sha256:26073dd510f82e6bce87c79737ec5b69d288e96a8752ad9348326e2eb791978d","observation_id":"f6be59ec-148f-43cf-93e6-5025ac101ec6","resolution":{"observed_at":"2026-08-12T15:38:58.875393Z","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":"2026-08-12T15:39:01.077711Z","title":"Dagréou, P","venue":null,"work_id":"5c381e57-c0cb-47f0-bf56-ee7fe7383438","year":2022},"citing_paper":{"arxiv_id":"2411.14166","last_updated":"2024-12-17T09:38:53Z","snapshot_observed_at":"2026-08-12T22:40:55.546075Z","submitted_at":"2024-11-21T14:23:06Z","title":"SPARKLE: A Unified Single-Loop Primal-Dual Framework for Decentralized Bilevel Optimization","version":3},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-12T15:38:58.882403Z"},"links":{"citing_paper":"/paper/2411.14166"},"observation_digest":"sha256:e0d2ae15bb20a5788c43d0f4d68441a6f9d57d16a5cd679d8079c755bfd4e9a6","observation_id":"62d37e52-5187-4473-90a7-6703bca6f64e","resolution":{"observed_at":"2026-08-12T15:39:01.089460Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T15:39:01.033957Z","title":"Di Lorenzo and G","venue":null,"work_id":"4812f4c3-d90e-404a-8755-bf68a5cc28fa","year":2016},"citing_paper":{"arxiv_id":"2411.14166","last_updated":"2024-12-17T09:38:53Z","snapshot_observed_at":"2026-08-12T22:40:55.546075Z","submitted_at":"2024-11-21T14:23:06Z","title":"SPARKLE: A Unified Single-Loop Primal-Dual Framework for Decentralized Bilevel Optimization","version":3},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-12T15:38:58.891717Z"},"links":{"citing_paper":"/paper/2411.14166"},"observation_digest":"sha256:cae8bb5093cf1cc8cebe1ee3ce0f9f41c0dcc9da923386378fb07d4c11981a00","observation_id":"49185202-f8f8-4563-b66c-a2a6cf02fb1a","resolution":{"observed_at":"2026-08-12T15:39:01.039101Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T15:39:00.988336Z","title":null,"venue":null,"work_id":"5dfb711f-3de7-41a6-b3e4-5fbafdf08a75","year":2012},"citing_paper":{"arxiv_id":"2411.14166","last_updated":"2024-12-17T09:38:53Z","snapshot_observed_at":"2026-08-12T22:40:55.546075Z","submitted_at":"2024-11-21T14:23:06Z","title":"SPARKLE: A Unified Single-Loop Primal-Dual Framework for Decentralized Bilevel Optimization","version":3},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-12T15:38:58.898800Z"},"links":{"citing_paper":"/paper/2411.14166"},"observation_digest":"sha256:159f461cc121a4296cec560a5f6360d4f30a6a73a5edeb6e03819ae7e3def1fb","observation_id":"7703e7ad-1cb6-4bfc-a765-4d39b7578470","resolution":{"observed_at":"2026-08-12T15:39:01.014599Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T15:39:00.965369Z","title":null,"venue":null,"work_id":"d1176f6c-3aa9-4f63-857b-30b786b1bd30","year":2020},"citing_paper":{"arxiv_id":"2411.14166","last_updated":"2024-12-17T09:38:53Z","snapshot_observed_at":"2026-08-12T22:40:55.546075Z","submitted_at":"2024-11-21T14:23:06Z","title":"SPARKLE: A Unified Single-Loop Primal-Dual Framework for Decentralized Bilevel Optimization","version":3},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-12T15:38:58.910151Z"},"links":{"citing_paper":"/paper/2411.14166"},"observation_digest":"sha256:5ccb9ca0a6407188222c5067f02007c56f7cebab90dc84b98e2473789fd8172b","observation_id":"8df695dd-542c-41e5-ad18-cab2236135b5","resolution":{"observed_at":"2026-08-12T15:39:00.971964Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2311.08945","last_updated":"2024-04-23T08:01:05Z","snapshot_observed_at":"2026-08-13T05:24:49.062280Z","submitted_at":"2023-11-15T13:29:49Z","title":"A Single-Loop Algorithm for Decentralized Bilevel Optimization","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2311.08945","snapshot_observed_at":"2026-08-12T15:38:58.919683Z","title":null,"venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2411.14166","last_updated":"2024-12-17T09:38:53Z","snapshot_observed_at":"2026-08-12T22:40:55.546075Z","submitted_at":"2024-11-21T14:23:06Z","title":"SPARKLE: A Unified Single-Loop Primal-Dual Framework for Decentralized Bilevel Optimization","version":3},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-12T15:38:58.919683Z"},"links":{"cited_paper":"/paper/2311.08945","citing_paper":"/paper/2411.14166"},"observation_digest":"sha256:927fb7f0ad09be1f015202ad53a69477af2248a773f702333251f4a8ef3333fe","observation_id":"34d64e6a-028a-487f-84a5-5f2e208af050","resolution":{"observed_at":"2026-08-12T15:38:58.919683Z","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":"2026-08-12T15:39:00.938820Z","title":null,"venue":null,"work_id":"d29837f3-8db3-40a0-8e0b-6ebef1200610","year":2011},"citing_paper":{"arxiv_id":"2411.14166","last_updated":"2024-12-17T09:38:53Z","snapshot_observed_at":"2026-08-12T22:40:55.546075Z","submitted_at":"2024-11-21T14:23:06Z","title":"SPARKLE: A Unified Single-Loop Primal-Dual Framework for Decentralized Bilevel Optimization","version":3},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-12T15:38:58.930689Z"},"links":{"citing_paper":"/paper/2411.14166"},"observation_digest":"sha256:0650ece8578f3477d344c509df69d727829e8f26e79a8c29508cebc1b7d7f67d","observation_id":"0bab03dc-6786-4b82-8b81-cc2869b2df84","resolution":{"observed_at":"2026-08-12T15:39:00.944692Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T15:39:00.912743Z","title":null,"venue":null,"work_id":"3ec8052a-222f-4027-933c-8de6118bb064","year":2017},"citing_paper":{"arxiv_id":"2411.14166","last_updated":"2024-12-17T09:38:53Z","snapshot_observed_at":"2026-08-12T22:40:55.546075Z","submitted_at":"2024-11-21T14:23:06Z","title":"SPARKLE: A Unified Single-Loop Primal-Dual Framework for Decentralized Bilevel Optimization","version":3},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-12T15:38:58.943487Z"},"links":{"citing_paper":"/paper/2411.14166"},"observation_digest":"sha256:c257c33aa34567a7b1ceae6a58ab262496b100e3179dbe93e9139426d04c0a77","observation_id":"87db7f7b-2471-4654-9807-a17c45483c86","resolution":{"observed_at":"2026-08-12T15:39:00.922212Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T15:39:00.885641Z","title":"Franceschi, P","venue":null,"work_id":"8ab14413-f0d3-4500-aa5e-d83c009d47f3","year":2018},"citing_paper":{"arxiv_id":"2411.14166","last_updated":"2024-12-17T09:38:53Z","snapshot_observed_at":"2026-08-12T22:40:55.546075Z","submitted_at":"2024-11-21T14:23:06Z","title":"SPARKLE: A Unified Single-Loop Primal-Dual Framework for Decentralized Bilevel Optimization","version":3},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-12T15:38:58.953876Z"},"links":{"citing_paper":"/paper/2411.14166"},"observation_digest":"sha256:932d108df2945fcf48c6fcb93c0a6b9f32ff6d2fa52cb67ac1b0a9c1c8f2b5fd","observation_id":"d2b222ea-481b-4a06-b110-32aaa14ccd51","resolution":{"observed_at":"2026-08-12T15:39:00.893509Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2404.03331","last_updated":"2025-02-26T14:25:09Z","snapshot_observed_at":"2026-08-13T00:37:51.551960Z","submitted_at":"2024-04-04T09:57:29Z","title":"LancBiO: dynamic Lanczos-aided bilevel optimization via Krylov subspace","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2404.03331","snapshot_observed_at":"2026-08-12T15:38:58.962567Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2411.14166","last_updated":"2024-12-17T09:38:53Z","snapshot_observed_at":"2026-08-12T22:40:55.546075Z","submitted_at":"2024-11-21T14:23:06Z","title":"SPARKLE: A Unified Single-Loop Primal-Dual Framework for Decentralized Bilevel Optimization","version":3},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-12T15:38:58.962567Z"},"links":{"cited_paper":"/paper/2404.03331","citing_paper":"/paper/2411.14166"},"observation_digest":"sha256:d07a66467a5cd8c6a31efe11008439fe5d4465777cc5aaa2fd10112a76f37b54","observation_id":"02429a62-97a4-4ad9-954b-f98f5dd043ed","resolution":{"observed_at":"2026-08-12T15:38:58.962567Z","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":"2026-08-12T15:39:00.856237Z","title":null,"venue":null,"work_id":"f2417247-fe71-4d7c-b117-8a62f0cefeca","year":2023},"citing_paper":{"arxiv_id":"2411.14166","last_updated":"2024-12-17T09:38:53Z","snapshot_observed_at":"2026-08-12T22:40:55.546075Z","submitted_at":"2024-11-21T14:23:06Z","title":"SPARKLE: A Unified Single-Loop Primal-Dual Framework for Decentralized Bilevel Optimization","version":3},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-12T15:38:58.974024Z"},"links":{"citing_paper":"/paper/2411.14166"},"observation_digest":"sha256:7fc2848fec87c05c7917dd0e6e591e7e02629447e67eba86e1bd94004ab41c63","observation_id":"3909672f-d2ee-47e0-9b71-f7b25f7caa7a","resolution":{"observed_at":"2026-08-12T15:39:00.863121Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1802.02246","last_updated":"2018-02-06T22:10:14Z","snapshot_observed_at":"2026-07-06T06:22:08.261855Z","submitted_at":"2018-02-06T22:10:14Z","title":"Approximation Methods for Bilevel Programming","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1802.02246","snapshot_observed_at":"2026-08-12T15:38:58.981141Z","title":"Ghadimi and M","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2411.14166","last_updated":"2024-12-17T09:38:53Z","snapshot_observed_at":"2026-08-12T22:40:55.546075Z","submitted_at":"2024-11-21T14:23:06Z","title":"SPARKLE: A Unified Single-Loop Primal-Dual Framework for Decentralized Bilevel Optimization","version":3},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-12T15:38:58.981141Z"},"links":{"cited_paper":"/paper/1802.02246","citing_paper":"/paper/2411.14166"},"observation_digest":"sha256:e6523c8bac7cd6278b7f3c3144fc9f47594ee4e93628a25a041510d1fce7d3d0","observation_id":"8b913e65-c43c-4072-88e3-4aac8dbb102c","resolution":{"observed_at":"2026-08-12T15:38:58.981141Z","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":"2026-08-12T15:39:00.833507Z","title":"Grazzi, L","venue":null,"work_id":"07a509ea-844d-4f65-a91f-029c319561e9","year":2020},"citing_paper":{"arxiv_id":"2411.14166","last_updated":"2024-12-17T09:38:53Z","snapshot_observed_at":"2026-08-12T22:40:55.546075Z","submitted_at":"2024-11-21T14:23:06Z","title":"SPARKLE: A Unified Single-Loop Primal-Dual Framework for Decentralized Bilevel Optimization","version":3},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-12T15:38:58.987424Z"},"links":{"citing_paper":"/paper/2411.14166"},"observation_digest":"sha256:59ffa71dfa8e4fb641dd8fc5ec21b198f4a349050a27d18449383036a4a9ca7f","observation_id":"09ca460b-5ba1-481a-b7a8-49b2ab0f778e","resolution":{"observed_at":"2026-08-12T15:39:00.840734Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2105.02266","last_updated":"2021-06-14T06:45:58Z","snapshot_observed_at":"2026-08-10T14:32:48.451596Z","submitted_at":"2021-05-05T18:28:42Z","title":"Randomized Stochastic Variance-Reduced Methods for Multi-Task Stochastic Bilevel Optimization","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2105.02266","snapshot_observed_at":"2026-08-12T15:38:58.993987Z","title":null,"venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2411.14166","last_updated":"2024-12-17T09:38:53Z","snapshot_observed_at":"2026-08-12T22:40:55.546075Z","submitted_at":"2024-11-21T14:23:06Z","title":"SPARKLE: A Unified Single-Loop Primal-Dual Framework for Decentralized Bilevel Optimization","version":3},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-12T15:38:58.993987Z"},"links":{"cited_paper":"/paper/2105.02266","citing_paper":"/paper/2411.14166"},"observation_digest":"sha256:077f05fbe381bf878f91dca3e38d59d3ea572294aa4aa4bc2b8ab2c695967eca","observation_id":"348a974c-8f00-422b-8032-44ebcc022827","resolution":{"observed_at":"2026-08-12T15:38:58.993987Z","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":"2026-08-12T15:39:00.808538Z","title":"Hong, H.-T","venue":null,"work_id":"2c77fd67-62f3-411a-bcde-2a208d15f922","year":2023},"citing_paper":{"arxiv_id":"2411.14166","last_updated":"2024-12-17T09:38:53Z","snapshot_observed_at":"2026-08-12T22:40:55.546075Z","submitted_at":"2024-11-21T14:23:06Z","title":"SPARKLE: A Unified Single-Loop Primal-Dual Framework for Decentralized Bilevel Optimization","version":3},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-12T15:38:59.008496Z"},"links":{"citing_paper":"/paper/2411.14166"},"observation_digest":"sha256:8473861fdf2ca1aa521a0b40dcad24ff70a4c0c32e9c751f85356827af2da51a","observation_id":"571532c6-0454-4acf-b2a2-6fc94ac5a414","resolution":{"observed_at":"2026-08-12T15:39:00.816568Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T15:39:00.780261Z","title":"Jakovetić","venue":null,"work_id":"b81350ca-33cf-4560-91f5-03b6ddac2f74","year":2018},"citing_paper":{"arxiv_id":"2411.14166","last_updated":"2024-12-17T09:38:53Z","snapshot_observed_at":"2026-08-12T22:40:55.546075Z","submitted_at":"2024-11-21T14:23:06Z","title":"SPARKLE: A Unified Single-Loop Primal-Dual Framework for Decentralized Bilevel Optimization","version":3},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-12T15:38:59.029459Z"},"links":{"citing_paper":"/paper/2411.14166"},"observation_digest":"sha256:4a782aedd74a7ebbe8f929e49d30a622be694fee358b36621763d8ab165733d0","observation_id":"cef92806-8dd9-49f4-b3b1-c21bdac55d36","resolution":{"observed_at":"2026-08-12T15:39:00.792713Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T15:39:00.757006Z","title":null,"venue":null,"work_id":"a358e903-71c2-45bf-ba71-a320745f25ff","year":2021},"citing_paper":{"arxiv_id":"2411.14166","last_updated":"2024-12-17T09:38:53Z","snapshot_observed_at":"2026-08-12T22:40:55.546075Z","submitted_at":"2024-11-21T14:23:06Z","title":"SPARKLE: A Unified Single-Loop Primal-Dual Framework for Decentralized Bilevel Optimization","version":3},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-12T15:38:59.038484Z"},"links":{"citing_paper":"/paper/2411.14166"},"observation_digest":"sha256:1383a2cf005a16dde2dc2974821d52a5bbd5899222fb455265d6e796da3c14fe","observation_id":"e0793f1f-a655-4b11-93ca-60bf35fc8d81","resolution":{"observed_at":"2026-08-12T15:39:00.766480Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T15:39:00.723391Z","title":"Koloskova, T","venue":null,"work_id":"156870ac-cce8-4407-a1fc-9c0cd72f4423","year":2021},"citing_paper":{"arxiv_id":"2411.14166","last_updated":"2024-12-17T09:38:53Z","snapshot_observed_at":"2026-08-12T22:40:55.546075Z","submitted_at":"2024-11-21T14:23:06Z","title":"SPARKLE: A Unified Single-Loop Primal-Dual Framework for Decentralized Bilevel Optimization","version":3},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-12T15:38:59.044462Z"},"links":{"citing_paper":"/paper/2411.14166"},"observation_digest":"sha256:ec5136a7a6a09eacafd0cdba844411e66681226b3a69cea464795a73cffdc19e","observation_id":"fc5a77fa-16b6-4b2b-96fb-1de485e09ada","resolution":{"observed_at":"2026-08-12T15:39:00.732028Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T15:38:59.051130Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2411.14166","last_updated":"2024-12-17T09:38:53Z","snapshot_observed_at":"2026-08-12T22:40:55.546075Z","submitted_at":"2024-11-21T14:23:06Z","title":"SPARKLE: A Unified Single-Loop Primal-Dual Framework for Decentralized Bilevel Optimization","version":3},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-12T15:38:59.051130Z"},"links":{"citing_paper":"/paper/2411.14166"},"observation_digest":"sha256:b9790daf2ccc609d12e53a9aff6606e3d5409754f874b1e2f92444c6af92af4a","observation_id":"5838b312-c807-40c4-b874-3a4eaa30c342","resolution":{"observed_at":"2026-08-12T15:38:59.051130Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1704.07807","last_updated":"2019-06-18T02:26:10Z","snapshot_observed_at":"2026-07-06T05:39:16.046233Z","submitted_at":"2017-04-25T17:36:15Z","title":"A decentralized proximal-gradient method with network independent step-sizes and separated convergence rates","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1704.07807","snapshot_observed_at":"2026-08-12T15:38:59.057934Z","title":null,"venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2411.14166","last_updated":"2024-12-17T09:38:53Z","snapshot_observed_at":"2026-08-12T22:40:55.546075Z","submitted_at":"2024-11-21T14:23:06Z","title":"SPARKLE: A Unified Single-Loop Primal-Dual Framework for Decentralized Bilevel Optimization","version":3},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-12T15:38:59.057934Z"},"links":{"cited_paper":"/paper/1704.07807","citing_paper":"/paper/2411.14166"},"observation_digest":"sha256:bc0eecd5e456964ce3d7f0f7a65bb390a52fe8899893b5c489d7eafcb87d4844","observation_id":"3b9e30e5-36d3-4fd3-a569-8c5d1e76e5f4","resolution":{"observed_at":"2026-08-12T15:38:59.057934Z","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":"2026-08-12T15:39:00.684691Z","title":null,"venue":null,"work_id":"3cf6c1e3-7080-4a78-9234-ea979f3988b7","year":2017},"citing_paper":{"arxiv_id":"2411.14166","last_updated":"2024-12-17T09:38:53Z","snapshot_observed_at":"2026-08-12T22:40:55.546075Z","submitted_at":"2024-11-21T14:23:06Z","title":"SPARKLE: A Unified Single-Loop Primal-Dual Framework for Decentralized Bilevel Optimization","version":3},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-12T15:38:59.070033Z"},"links":{"citing_paper":"/paper/2411.14166"},"observation_digest":"sha256:d2b809e1e9a52798e33c41a0151793df6082af44e8a81efca69b18f4e4292765","observation_id":"2b26e8ea-d391-4391-978a-78f7405e3f62","resolution":{"observed_at":"2026-08-12T15:39:00.693034Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T15:39:00.653474Z","title":null,"venue":null,"work_id":"804dfdbe-6496-45ee-8f0b-07e576918649","year":2021},"citing_paper":{"arxiv_id":"2411.14166","last_updated":"2024-12-17T09:38:53Z","snapshot_observed_at":"2026-08-12T22:40:55.546075Z","submitted_at":"2024-11-21T14:23:06Z","title":"SPARKLE: A Unified Single-Loop Primal-Dual Framework for Decentralized Bilevel Optimization","version":3},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-12T15:38:59.076144Z"},"links":{"citing_paper":"/paper/2411.14166"},"observation_digest":"sha256:a930667fd3d938614025a71e29bbddf4e47c4b8ef6d5bee767afc9b6a59af27c","observation_id":"86baf386-c0f1-409e-901d-4ddc38b3f1fe","resolution":{"observed_at":"2026-08-12T15:39:00.660375Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T15:39:00.612429Z","title":null,"venue":null,"work_id":"75d808be-f451-41ea-afc4-74f4e5023de4","year":2022},"citing_paper":{"arxiv_id":"2411.14166","last_updated":"2024-12-17T09:38:53Z","snapshot_observed_at":"2026-08-12T22:40:55.546075Z","submitted_at":"2024-11-21T14:23:06Z","title":"SPARKLE: A Unified Single-Loop Primal-Dual Framework for Decentralized Bilevel Optimization","version":3},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-12T15:38:59.082158Z"},"links":{"citing_paper":"/paper/2411.14166"},"observation_digest":"sha256:7ce2c8e76c1bf45de1056e9525c4b664fdd586929e8cd29e391931970f98c227","observation_id":"258ae2a3-08e6-4915-b1e4-a51ac31b0d88","resolution":{"observed_at":"2026-08-12T15:39:00.622832Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T15:39:00.588882Z","title":"Lu and C","venue":null,"work_id":"8b46523d-6b1b-4420-b701-43cdf91c97de","year":2021},"citing_paper":{"arxiv_id":"2411.14166","last_updated":"2024-12-17T09:38:53Z","snapshot_observed_at":"2026-08-12T22:40:55.546075Z","submitted_at":"2024-11-21T14:23:06Z","title":"SPARKLE: A Unified Single-Loop Primal-Dual Framework for Decentralized Bilevel Optimization","version":3},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-12T15:38:59.096184Z"},"links":{"citing_paper":"/paper/2411.14166"},"observation_digest":"sha256:14b35e8a6eb33e4521179c61de43f095ac2048c85d61de177c48921a6318c275","observation_id":"70026993-0f77-4e49-85d9-9e7ffb49566e","resolution":{"observed_at":"2026-08-12T15:39:00.597148Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T15:39:00.562827Z","title":"Maclaurin, D","venue":null,"work_id":"ef483e08-4225-4256-8c1c-3c24a848f8a8","year":2015},"citing_paper":{"arxiv_id":"2411.14166","last_updated":"2024-12-17T09:38:53Z","snapshot_observed_at":"2026-08-12T22:40:55.546075Z","submitted_at":"2024-11-21T14:23:06Z","title":"SPARKLE: A Unified Single-Loop Primal-Dual Framework for Decentralized Bilevel Optimization","version":3},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-12T15:38:59.102673Z"},"links":{"citing_paper":"/paper/2411.14166"},"observation_digest":"sha256:8f709c596989844d64bbe47f4509881afa111d740e81049b931d35860556553a","observation_id":"17d9a781-60e0-4eda-a1e7-412385361de5","resolution":{"observed_at":"2026-08-12T15:39:00.568743Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T15:39:00.536301Z","title":"Madry, A","venue":null,"work_id":"2b841369-74bd-4c64-b69f-b8295504441d","year":2018},"citing_paper":{"arxiv_id":"2411.14166","last_updated":"2024-12-17T09:38:53Z","snapshot_observed_at":"2026-08-12T22:40:55.546075Z","submitted_at":"2024-11-21T14:23:06Z","title":"SPARKLE: A Unified Single-Loop Primal-Dual Framework for Decentralized Bilevel Optimization","version":3},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-12T15:38:59.119957Z"},"links":{"citing_paper":"/paper/2411.14166"},"observation_digest":"sha256:82ddc4f45cc3ecc2a6d5a27589d2cdbee8cc6dc682f1cef52b515f6830818be9","observation_id":"18831dd3-3ecb-42ac-8dc2-634d2f06c1a8","resolution":{"observed_at":"2026-08-12T15:39:00.543338Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T15:39:00.513013Z","title":"Nedić, A","venue":null,"work_id":"641d194a-af52-4f4b-bfed-61c7fcf84eca","year":2018},"citing_paper":{"arxiv_id":"2411.14166","last_updated":"2024-12-17T09:38:53Z","snapshot_observed_at":"2026-08-12T22:40:55.546075Z","submitted_at":"2024-11-21T14:23:06Z","title":"SPARKLE: A Unified Single-Loop Primal-Dual Framework for Decentralized Bilevel Optimization","version":3},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-12T15:38:59.127377Z"},"links":{"citing_paper":"/paper/2411.14166"},"observation_digest":"sha256:9bf4e61062aac3337eebbb1b8bb1831d446b1368b379e88cc32a9e0d42f72b3c","observation_id":"1ea912f1-0cf2-4f16-aa72-33cb03362a25","resolution":{"observed_at":"2026-08-12T15:39:00.519663Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T15:39:00.485354Z","title":"Nedic, A","venue":null,"work_id":"dadd71e0-e55a-42ce-80c7-0b8a69f44ad5","year":2017},"citing_paper":{"arxiv_id":"2411.14166","last_updated":"2024-12-17T09:38:53Z","snapshot_observed_at":"2026-08-12T22:40:55.546075Z","submitted_at":"2024-11-21T14:23:06Z","title":"SPARKLE: A Unified Single-Loop Primal-Dual Framework for Decentralized Bilevel Optimization","version":3},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-12T15:38:59.134496Z"},"links":{"citing_paper":"/paper/2411.14166"},"observation_digest":"sha256:f1d284aad8f4d6595885c090a5917c3ee30251651fd26d35a15abfe573421f9f","observation_id":"7539d699-681b-42bd-ae67-cb2fd143bacb","resolution":{"observed_at":"2026-08-12T15:39:00.494148Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T15:39:00.464808Z","title":"Nedic and A","venue":null,"work_id":"3ee5ff92-ad13-460b-80bd-43f9655e14db","year":2009},"citing_paper":{"arxiv_id":"2411.14166","last_updated":"2024-12-17T09:38:53Z","snapshot_observed_at":"2026-08-12T22:40:55.546075Z","submitted_at":"2024-11-21T14:23:06Z","title":"SPARKLE: A Unified Single-Loop Primal-Dual Framework for Decentralized Bilevel Optimization","version":3},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-12T15:38:59.143132Z"},"links":{"citing_paper":"/paper/2411.14166"},"observation_digest":"sha256:0a419e6b6b0cdc7ef98f78d3d10a6a617df9bc42dfe43251e65521b3ef9592eb","observation_id":"798c32a1-64f3-4295-8e85-19b81f861b9c","resolution":{"observed_at":"2026-08-12T15:39:00.470311Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2312.14690","last_updated":"2025-04-07T11:46:12Z","snapshot_observed_at":"2026-08-13T04:55:17.944957Z","submitted_at":"2023-12-22T13:44:38Z","title":"Distributed Stochastic Bilevel Optimization: Improved Complexity and Heterogeneity Analysis","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2312.14690","snapshot_observed_at":"2026-08-12T15:38:59.155295Z","title":null,"venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2411.14166","last_updated":"2024-12-17T09:38:53Z","snapshot_observed_at":"2026-08-12T22:40:55.546075Z","submitted_at":"2024-11-21T14:23:06Z","title":"SPARKLE: A Unified Single-Loop Primal-Dual Framework for Decentralized Bilevel Optimization","version":3},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-12T15:38:59.155295Z"},"links":{"cited_paper":"/paper/2312.14690","citing_paper":"/paper/2411.14166"},"observation_digest":"sha256:1637b9ee4a38611b6fd15e1851be944ffd49f21e2435fcd42e97b77d18bcc738","observation_id":"1036be13-fa4b-4d92-b657-b6e775953827","resolution":{"observed_at":"2026-08-12T15:38:59.155295Z","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":"2026-08-12T15:39:00.423638Z","title":"Qu and N","venue":null,"work_id":"dbd41da9-feb6-4c2d-9032-b3f3a952824c","year":2018},"citing_paper":{"arxiv_id":"2411.14166","last_updated":"2024-12-17T09:38:53Z","snapshot_observed_at":"2026-08-12T22:40:55.546075Z","submitted_at":"2024-11-21T14:23:06Z","title":"SPARKLE: A Unified Single-Loop Primal-Dual Framework for Decentralized Bilevel Optimization","version":3},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-12T15:38:59.161683Z"},"links":{"citing_paper":"/paper/2411.14166"},"observation_digest":"sha256:0cd9f816f9009261739f5018bb510d706ba18d97e8a8dff2ff3f0f359b1dba2a","observation_id":"3bc05dcc-08d6-49b9-9c50-b24f6b404b75","resolution":{"observed_at":"2026-08-12T15:39:00.429911Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T15:39:00.396611Z","title":"Russakovsky, J","venue":null,"work_id":"45b6c22b-149f-4c75-a961-f2fbf53e5759","year":2015},"citing_paper":{"arxiv_id":"2411.14166","last_updated":"2024-12-17T09:38:53Z","snapshot_observed_at":"2026-08-12T22:40:55.546075Z","submitted_at":"2024-11-21T14:23:06Z","title":"SPARKLE: A Unified Single-Loop Primal-Dual Framework for Decentralized Bilevel Optimization","version":3},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-08-12T15:38:59.169342Z"},"links":{"citing_paper":"/paper/2411.14166"},"observation_digest":"sha256:5052907af554739a20a8a9f2cca32f672c52b98c976362fbd3c5ec96c31c7f31","observation_id":"be18df1f-27cb-4848-ae0f-53aab92232f8","resolution":{"observed_at":"2026-08-12T15:39:00.404760Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T15:39:00.366711Z","title":null,"venue":null,"work_id":"043ba029-0917-4d0a-ae39-90ed6042f55b","year":2014},"citing_paper":{"arxiv_id":"2411.14166","last_updated":"2024-12-17T09:38:53Z","snapshot_observed_at":"2026-08-12T22:40:55.546075Z","submitted_at":"2024-11-21T14:23:06Z","title":"SPARKLE: A Unified Single-Loop Primal-Dual Framework for Decentralized Bilevel Optimization","version":3},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-08-12T15:38:59.182383Z"},"links":{"citing_paper":"/paper/2411.14166"},"observation_digest":"sha256:f6fe1aedeb03c719803f82d42db321be7f701ed7e1f727f29abcb2fe916f762c","observation_id":"65609810-d980-4b51-89e7-3d57f0c2a4d0","resolution":{"observed_at":"2026-08-12T15:39:00.374499Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T15:39:00.338727Z","title":"Shaban, C.-A","venue":null,"work_id":"b728ef1b-1c3a-4563-9823-6b95a78322e5","year":2019},"citing_paper":{"arxiv_id":"2411.14166","last_updated":"2024-12-17T09:38:53Z","snapshot_observed_at":"2026-08-12T22:40:55.546075Z","submitted_at":"2024-11-21T14:23:06Z","title":"SPARKLE: A Unified Single-Loop Primal-Dual Framework for Decentralized Bilevel Optimization","version":3},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-08-12T15:38:59.189840Z"},"links":{"citing_paper":"/paper/2411.14166"},"observation_digest":"sha256:c1dd57a18c6e442a4adfca7cbdb5c1df63c5db7876983f128878377c18977c37","observation_id":"e7159864-c425-4c40-8386-604a8d88ca76","resolution":{"observed_at":"2026-08-12T15:39:00.344785Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T15:39:00.316997Z","title":null,"venue":null,"work_id":"f60bcfe9-61f0-426f-af7e-e76eb98ea6f5","year":2015},"citing_paper":{"arxiv_id":"2411.14166","last_updated":"2024-12-17T09:38:53Z","snapshot_observed_at":"2026-08-12T22:40:55.546075Z","submitted_at":"2024-11-21T14:23:06Z","title":"SPARKLE: A Unified Single-Loop Primal-Dual Framework for Decentralized Bilevel Optimization","version":3},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-08-12T15:38:59.196384Z"},"links":{"citing_paper":"/paper/2411.14166"},"observation_digest":"sha256:b858ddd2ca48b9308d0431584cdc92aba35d829f68718864392fbf0372a88296","observation_id":"5d2b7872-9bca-4094-8e4b-55084190f38d","resolution":{"observed_at":"2026-08-12T15:39:00.323611Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T15:39:00.291323Z","title":null,"venue":null,"work_id":"a8b20e45-97d9-4add-bafd-d2d06fb25590","year":2018},"citing_paper":{"arxiv_id":"2411.14166","last_updated":"2024-12-17T09:38:53Z","snapshot_observed_at":"2026-08-12T22:40:55.546075Z","submitted_at":"2024-11-21T14:23:06Z","title":"SPARKLE: A Unified Single-Loop Primal-Dual Framework for Decentralized Bilevel Optimization","version":3},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-08-12T15:38:59.203112Z"},"links":{"citing_paper":"/paper/2411.14166"},"observation_digest":"sha256:63a65fa10577c95afa9dc379fb278935efdee28c830c440e856de472851e5e30","observation_id":"8e1f3441-4ad5-4071-addb-21ed09fccd6a","resolution":{"observed_at":"2026-08-12T15:39:00.298663Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T15:39:00.265676Z","title":"Vinyals, C","venue":null,"work_id":"c76432e4-68c9-4dfb-91ac-81e13cce8ef6","year":2016},"citing_paper":{"arxiv_id":"2411.14166","last_updated":"2024-12-17T09:38:53Z","snapshot_observed_at":"2026-08-12T22:40:55.546075Z","submitted_at":"2024-11-21T14:23:06Z","title":"SPARKLE: A Unified Single-Loop Primal-Dual Framework for Decentralized Bilevel Optimization","version":3},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-08-12T15:38:59.211240Z"},"links":{"citing_paper":"/paper/2411.14166"},"observation_digest":"sha256:cbd79e2f82b9881baaefb9ec821b669bfa360c17a67a078f4d5b2a4448f8d396","observation_id":"2490c189-6a9d-40fb-8d74-d491297a1d57","resolution":{"observed_at":"2026-08-12T15:39:00.272457Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1708.07747","last_updated":"2017-09-15T21:29:49Z","snapshot_observed_at":"2026-07-06T05:56:41.814255Z","submitted_at":"2017-08-25T14:01:29Z","title":"Fashion-MNIST: a Novel Image Dataset for Benchmarking Machine Learning Algorithms","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1708.07747","snapshot_observed_at":"2026-08-12T15:38:59.218271Z","title":null,"venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2411.14166","last_updated":"2024-12-17T09:38:53Z","snapshot_observed_at":"2026-08-12T22:40:55.546075Z","submitted_at":"2024-11-21T14:23:06Z","title":"SPARKLE: A Unified Single-Loop Primal-Dual Framework for Decentralized Bilevel Optimization","version":3},"reference_index":48,"source":"pdf_text","source_observed_at":"2026-08-12T15:38:59.218271Z"},"links":{"cited_paper":"/paper/1708.07747","citing_paper":"/paper/2411.14166"},"observation_digest":"sha256:e0e77fa1b76199e3580a738782fc21fb32cf693921c7ebfc1d89332c42727084","observation_id":"a97808aa-5a54-48f2-b1d1-09632bfa3503","resolution":{"observed_at":"2026-08-12T15:38:59.218271Z","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":"2026-08-12T15:39:00.230695Z","title":null,"venue":null,"work_id":"3425a9d1-2b05-4a4b-b738-c6dabe8ec56d","year":2021},"citing_paper":{"arxiv_id":"2411.14166","last_updated":"2024-12-17T09:38:53Z","snapshot_observed_at":"2026-08-12T22:40:55.546075Z","submitted_at":"2024-11-21T14:23:06Z","title":"SPARKLE: A Unified Single-Loop Primal-Dual Framework for Decentralized Bilevel Optimization","version":3},"reference_index":49,"source":"pdf_text","source_observed_at":"2026-08-12T15:38:59.226302Z"},"links":{"citing_paper":"/paper/2411.14166"},"observation_digest":"sha256:21eda4b759bf0d8b3a56114aa7dfb2af5facf49a81933a2ba9880a15ebbf93b2","observation_id":"6aa2e441-8559-4376-ac3d-80bdeeb699ec","resolution":{"observed_at":"2026-08-12T15:39:00.239162Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T15:39:00.183626Z","title":null,"venue":null,"work_id":"f110141e-5a05-4a0d-9395-375a8046770e","year":2015},"citing_paper":{"arxiv_id":"2411.14166","last_updated":"2024-12-17T09:38:53Z","snapshot_observed_at":"2026-08-12T22:40:55.546075Z","submitted_at":"2024-11-21T14:23:06Z","title":"SPARKLE: A Unified Single-Loop Primal-Dual Framework for Decentralized Bilevel Optimization","version":3},"reference_index":50,"source":"pdf_text","source_observed_at":"2026-08-12T15:38:59.232424Z"},"links":{"citing_paper":"/paper/2411.14166"},"observation_digest":"sha256:781ff201779540e0ae4d21fed38a2ed0ab2edca1840e99292fe215516e56e50b","observation_id":"e3c21f72-70d2-425a-85b4-4e5d61bcbb7a","resolution":{"observed_at":"2026-08-12T15:39:00.202792Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T15:39:00.153492Z","title":null,"venue":null,"work_id":"7deae012-7069-4e0e-9593-a0039fc98cf4","year":2021},"citing_paper":{"arxiv_id":"2411.14166","last_updated":"2024-12-17T09:38:53Z","snapshot_observed_at":"2026-08-12T22:40:55.546075Z","submitted_at":"2024-11-21T14:23:06Z","title":"SPARKLE: A Unified Single-Loop Primal-Dual Framework for Decentralized Bilevel Optimization","version":3},"reference_index":51,"source":"pdf_text","source_observed_at":"2026-08-12T15:38:59.241572Z"},"links":{"citing_paper":"/paper/2411.14166"},"observation_digest":"sha256:42195080924fd3294a9d351fbc9bf56694e1f81b7e2e503ec48ac5af13ddd2a5","observation_id":"5797a7e8-6e0a-4b65-bf7a-5aa8192dfd0b","resolution":{"observed_at":"2026-08-12T15:39:00.160000Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T15:39:00.131185Z","title":null,"venue":null,"work_id":"8cd4b641-9ad3-48fd-8995-daa21999745f","year":2022},"citing_paper":{"arxiv_id":"2411.14166","last_updated":"2024-12-17T09:38:53Z","snapshot_observed_at":"2026-08-12T22:40:55.546075Z","submitted_at":"2024-11-21T14:23:06Z","title":"SPARKLE: A Unified Single-Loop Primal-Dual Framework for Decentralized Bilevel Optimization","version":3},"reference_index":52,"source":"pdf_text","source_observed_at":"2026-08-12T15:38:59.247698Z"},"links":{"citing_paper":"/paper/2411.14166"},"observation_digest":"sha256:709ba37de4ff5ae49e19118ee314a0882960a86576a8d7774ea3ccecbe1528ef","observation_id":"df4e2f7d-72e8-4621-b7d6-35ebb4714dd1","resolution":{"observed_at":"2026-08-12T15:39:00.137164Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T15:39:00.103046Z","title":null,"venue":null,"work_id":"3992086a-601e-476b-a3e7-14c45622676b","year":2023},"citing_paper":{"arxiv_id":"2411.14166","last_updated":"2024-12-17T09:38:53Z","snapshot_observed_at":"2026-08-12T22:40:55.546075Z","submitted_at":"2024-11-21T14:23:06Z","title":"SPARKLE: A Unified Single-Loop Primal-Dual Framework for Decentralized Bilevel Optimization","version":3},"reference_index":53,"source":"pdf_text","source_observed_at":"2026-08-12T15:38:59.259516Z"},"links":{"citing_paper":"/paper/2411.14166"},"observation_digest":"sha256:655bd8587e0b46f9ff7b734597e58879a1d8fe7f52ef16f6165b947a10383c1b","observation_id":"b2e050f4-cf94-4ddd-b68b-8cbee9627524","resolution":{"observed_at":"2026-08-12T15:39:00.111399Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T15:39:00.075616Z","title":null,"venue":null,"work_id":"52ef5e6d-93fc-4ba7-b869-75d33fb3aa9a","year":2020},"citing_paper":{"arxiv_id":"2411.14166","last_updated":"2024-12-17T09:38:53Z","snapshot_observed_at":"2026-08-12T22:40:55.546075Z","submitted_at":"2024-11-21T14:23:06Z","title":"SPARKLE: A Unified Single-Loop Primal-Dual Framework for Decentralized Bilevel Optimization","version":3},"reference_index":54,"source":"pdf_text","source_observed_at":"2026-08-12T15:38:59.265020Z"},"links":{"citing_paper":"/paper/2411.14166"},"observation_digest":"sha256:68bbf68c22b56ec1cb1591e0aa681275f07ea3d3ada03dcff38e20d9a4ab84a4","observation_id":"f408dcac-c5fb-42c4-8379-4ba5b1524a58","resolution":{"observed_at":"2026-08-12T15:39:00.080626Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T15:39:00.039146Z","title":null,"venue":null,"work_id":"f70e1c20-b0bb-4532-9f7c-df4a85fe3237","year":2016},"citing_paper":{"arxiv_id":"2411.14166","last_updated":"2024-12-17T09:38:53Z","snapshot_observed_at":"2026-08-12T22:40:55.546075Z","submitted_at":"2024-11-21T14:23:06Z","title":"SPARKLE: A Unified Single-Loop Primal-Dual Framework for Decentralized Bilevel Optimization","version":3},"reference_index":55,"source":"pdf_text","source_observed_at":"2026-08-12T15:38:59.272846Z"},"links":{"citing_paper":"/paper/2411.14166"},"observation_digest":"sha256:45464266f4fdb8e943512c89c1ddf939ef770aeb4e5aaa58e8bc7f25f35ad08b","observation_id":"1c241b14-f9c9-43c0-9ce0-def471aceb83","resolution":{"observed_at":"2026-08-12T15:39:00.054545Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T15:38:59.994191Z","title":null,"venue":null,"work_id":"aeb98a42-cd19-461f-a65f-9e9a6d49402c","year":2018},"citing_paper":{"arxiv_id":"2411.14166","last_updated":"2024-12-17T09:38:53Z","snapshot_observed_at":"2026-08-12T22:40:55.546075Z","submitted_at":"2024-11-21T14:23:06Z","title":"SPARKLE: A Unified Single-Loop Primal-Dual Framework for Decentralized Bilevel Optimization","version":3},"reference_index":56,"source":"pdf_text","source_observed_at":"2026-08-12T15:38:59.280127Z"},"links":{"citing_paper":"/paper/2411.14166"},"observation_digest":"sha256:8a62e4b597c1cd1be55d1981536a6393e5f3084e795b6c825ad7a673512589dd","observation_id":"2324c8c1-76f0-45e6-b431-d8d0e5117b2e","resolution":{"observed_at":"2026-08-12T15:39:00.004371Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2311.11342","last_updated":"2026-05-25T16:06:04Z","snapshot_observed_at":"2026-08-13T05:22:23.986729Z","submitted_at":"2023-11-19T14:56:26Z","title":"On the Communication Complexity of Decentralized Stochastic Bilevel Optimization","version":5},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2311.11342","snapshot_observed_at":"2026-08-12T15:38:59.287431Z","title":"SPARKLE: A Unified Single-Loop Primal-Dual Framework for Decentralized Bilevel Optimization","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2411.14166","last_updated":"2024-12-17T09:38:53Z","snapshot_observed_at":"2026-08-12T22:40:55.546075Z","submitted_at":"2024-11-21T14:23:06Z","title":"SPARKLE: A Unified Single-Loop Primal-Dual Framework for Decentralized Bilevel Optimization","version":3},"reference_index":57,"source":"pdf_text","source_observed_at":"2026-08-12T15:38:59.287431Z"},"links":{"cited_paper":"/paper/2311.11342","citing_paper":"/paper/2411.14166"},"observation_digest":"sha256:fd364efea845cd305ab930c2d66b8aa4527252032bb022c8140049bd865edd44","observation_id":"6c569dad-e201-4ad7-af90-918fc818d990","resolution":{"observed_at":"2026-08-12T15:38:59.287431Z","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":"2026-08-12T15:38:59.962027Z","title":null,"venue":null,"work_id":"c1c3f369-fcc5-44aa-a810-3abb58e7c36a","year":null},"citing_paper":{"arxiv_id":"2411.14166","last_updated":"2024-12-17T09:38:53Z","snapshot_observed_at":"2026-08-12T22:40:55.546075Z","submitted_at":"2024-11-21T14:23:06Z","title":"SPARKLE: A Unified Single-Loop Primal-Dual Framework for Decentralized Bilevel Optimization","version":3},"reference_index":58,"source":"pdf_text","source_observed_at":"2026-08-12T15:38:59.299504Z"},"links":{"citing_paper":"/paper/2411.14166"},"observation_digest":"sha256:ccee1edceeafa22aa42348f3df756e76d602c06984de2f19ba557798d9941a78","observation_id":"d1dbbebb-0a17-4b19-910e-9f6ad5ba1f50","resolution":{"observed_at":"2026-08-12T15:38:59.972036Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T15:38:59.931408Z","title":"κ2∥Oy∥2∥ˆek+1 y ∥2 n # + 6(K + 1)γ µgn 3σ2 g,2 L2 f,0 µ2g + σ2 f,1 ! + 73κ4","venue":null,"work_id":"6fbf38c7-5e19-4332-8739-5551a281b6c3","year":2000},"citing_paper":{"arxiv_id":"2411.14166","last_updated":"2024-12-17T09:38:53Z","snapshot_observed_at":"2026-08-12T22:40:55.546075Z","submitted_at":"2024-11-21T14:23:06Z","title":"SPARKLE: A Unified Single-Loop Primal-Dual Framework for Decentralized Bilevel Optimization","version":3},"reference_index":59,"source":"pdf_text","source_observed_at":"2026-08-12T15:38:59.305228Z"},"links":{"citing_paper":"/paper/2411.14166"},"observation_digest":"sha256:4e8554d7d12e230bebf52a078d19c7a8e9ed5c1cf681bd2a1b250048161ffc02","observation_id":"5506f1f4-3a71-4808-83a6-3cbece907521","resolution":{"observed_at":"2026-08-12T15:38:59.938887Z","resolver_source":"raw_fallback","status":"malformed_identifier"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2411.14166","last_updated":"2024-12-17T09:38:53Z","latest_version":3,"primary_category":"math.OC","snapshot_observed_at":"2026-08-12T22:40:55.546075Z","submitted_at":"2024-11-21T14:23:06Z","title":"SPARKLE: A Unified Single-Loop Primal-Dual Framework for Decentralized Bilevel Optimization"},"reference_resolution":{"displayed":59,"state_counts":{"malformed_identifier":1,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":36,"verified_exact":1,"verified_fuzzy":21},"total_outbound_references":59},"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":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"thesis":"As of 13 August 2026, this Paper Citation Record lists 59 of 59 outbound references and 0 inbound Pith citation observations for arXiv:2411.14166."}