{"as_of":"2026-08-21T10:28:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:d8cc39082a12087e8baad443f7f58ba8160f87b726ab4b751462e7de457ec3b0","coverage":[{"denominator":40,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":40,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-07T00:45:27.610948Z","state":"measured"},{"denominator":40,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":40,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-21T06:32:19.484+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/2506.13239/citation-record","integrity":"/paper/2506.13239/integrity","json":"/paper/2506.13239/citation-record.json","paper":"/paper/2506.13239"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T00:45:28.393576Z","title":"NTIRE 2017 challenge on single image super-resolution: Dataset and study","venue":null,"work_id":"f67d6e3a-7e6f-4eb7-840f-64fd36afdbe1","year":2017},"citing_paper":{"arxiv_id":"2506.13239","last_updated":"2025-06-16T08:38:56Z","snapshot_observed_at":"2026-08-16T15:54:39.632914Z","submitted_at":"2025-06-16T08:38:56Z","title":"Restarted contractive operators to learn at equilibrium","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-07T00:45:25.507497Z"},"links":{"citing_paper":"/paper/2506.13239"},"observation_digest":"sha256:596245145c06f3ea8838fe0b5cf736603b3f53a0c7045ab4288070de279c3394","observation_id":"0e02eb9c-1b5c-4212-8260-e8695a5dc671","resolution":{"observed_at":"2026-08-07T00:45:28.398746Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-07T00:45:28.377346Z","title":"Zico Kolter, and Vladlen Koltun","venue":null,"work_id":"7bc7621e-ca11-447d-84dd-5a4a20b5e614","year":2019},"citing_paper":{"arxiv_id":"2506.13239","last_updated":"2025-06-16T08:38:56Z","snapshot_observed_at":"2026-08-16T15:54:39.632914Z","submitted_at":"2025-06-16T08:38:56Z","title":"Restarted contractive operators to learn at equilibrium","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-07T00:45:25.551516Z"},"links":{"citing_paper":"/paper/2506.13239"},"observation_digest":"sha256:d977bf0d261a81bb8209d515cf22de91068ef4d4cb877e673bfbcc482a0de33d","observation_id":"07eb20d3-0113-4503-b0fe-f6923f500da9","resolution":{"observed_at":"2026-08-07T00:45:28.382618Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-07T00:45:28.361139Z","title":"Bauschke and Patrick L","venue":null,"work_id":"0d2c1acb-a3cb-40e7-a51d-807a00561b55","year":2017},"citing_paper":{"arxiv_id":"2506.13239","last_updated":"2025-06-16T08:38:56Z","snapshot_observed_at":"2026-08-16T15:54:39.632914Z","submitted_at":"2025-06-16T08:38:56Z","title":"Restarted contractive operators to learn at equilibrium","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-07T00:45:25.598203Z"},"links":{"citing_paper":"/paper/2506.13239"},"observation_digest":"sha256:21994ba93f7d8505d870bbc4168656e63c00b7d249d2d901cae061eac30c1774","observation_id":"802c770e-bb84-4850-9da0-9aeda95ac34f","resolution":{"observed_at":"2026-08-07T00:45:28.366686Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-07T00:45:28.343993Z","title":"Implicit differentiation of Lasso-type models for hyperparameter optimization","venue":null,"work_id":"405db4b9-0554-4414-b4a1-2b1c333c9395","year":2020},"citing_paper":{"arxiv_id":"2506.13239","last_updated":"2025-06-16T08:38:56Z","snapshot_observed_at":"2026-08-16T15:54:39.632914Z","submitted_at":"2025-06-16T08:38:56Z","title":"Restarted contractive operators to learn at equilibrium","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-07T00:45:25.631806Z"},"links":{"citing_paper":"/paper/2506.13239"},"observation_digest":"sha256:b5d44521a0384782ba9774b92766db2606e7dc9ecb11897ca202d626ace32c48","observation_id":"0cbe1555-ee4b-4ca3-b24a-39b5919060d1","resolution":{"observed_at":"2026-08-07T00:45:28.349197Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-07T00:45:28.328448Z","title":"Implicit differentiation for fast hyperparameter selection in non-smooth convex learning","venue":null,"work_id":"61f269a9-1b23-415f-8329-7602e96688b3","year":2022},"citing_paper":{"arxiv_id":"2506.13239","last_updated":"2025-06-16T08:38:56Z","snapshot_observed_at":"2026-08-16T15:54:39.632914Z","submitted_at":"2025-06-16T08:38:56Z","title":"Restarted contractive operators to learn at equilibrium","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-07T00:45:25.652173Z"},"links":{"citing_paper":"/paper/2506.13239"},"observation_digest":"sha256:b7c696f3c48e6966b3e9ddd1afd774cba4f6529f2b50d449d82f9de68b5d13a6","observation_id":"30d357c4-f079-46e4-b545-1bce393110c7","resolution":{"observed_at":"2026-08-07T00:45:28.334070Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2412.06436","last_updated":"2025-06-07T19:21:01Z","snapshot_observed_at":"2026-08-21T04:12:06.594485Z","submitted_at":"2024-12-09T12:26:26Z","title":"An Adaptively Inexact Method for Bilevel Learning Using Primal-Dual Style Differentiation","version":3},"cited_work":{"arxiv_id":"2412.06436","doi":null,"metadata_source":"pith","pith_arxiv_id":"2412.06436","snapshot_observed_at":"2026-08-07T00:45:27.693155Z","title":"An Adaptively Inexact Method for Bilevel Learning Using Primal-Dual Style Differentiation","venue":"math.OC","work_id":"505d0d33-04d3-4212-ae81-4e350aaa4801","year":2024},"citing_paper":{"arxiv_id":"2506.13239","last_updated":"2025-06-16T08:38:56Z","snapshot_observed_at":"2026-08-16T15:54:39.632914Z","submitted_at":"2025-06-16T08:38:56Z","title":"Restarted contractive operators to learn at equilibrium","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-07T00:45:25.695364Z"},"links":{"cited_paper":"/paper/2412.06436","citing_paper":"/paper/2506.13239"},"observation_digest":"sha256:a138ad2444d52ee1e6620e00439a369619ca30e6f3ee5caffe1fdf17c02dfbf7","observation_id":"612f1935-2bbf-42a2-91ce-7cb3b0a061d5","resolution":{"observed_at":"2026-08-07T00:45:27.701101Z","resolver_source":"local_arxiv","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-07T00:45:28.312235Z","title":"Nonsmooth implicit differentiation for machine learning and optimization","venue":null,"work_id":"02db69e7-bfea-4255-b86d-b9b3f1d3b683","year":2021},"citing_paper":{"arxiv_id":"2506.13239","last_updated":"2025-06-16T08:38:56Z","snapshot_observed_at":"2026-08-16T15:54:39.632914Z","submitted_at":"2025-06-16T08:38:56Z","title":"Restarted contractive operators to learn at equilibrium","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-07T00:45:25.713573Z"},"links":{"citing_paper":"/paper/2506.13239"},"observation_digest":"sha256:fc279e020a4e0d836697c30f5fee25c04f97f6a3690cc2f11741e35fa579aa4d","observation_id":"41efc35f-f36c-412d-a377-dbb57b8ebb5e","resolution":{"observed_at":"2026-08-07T00:45:28.318209Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-07T00:45:28.295882Z","title":"Briceno-Arias and Nelly Pustelnik","venue":null,"work_id":"ec5f1455-568c-47fc-9bb5-6558fe906c2f","year":2023},"citing_paper":{"arxiv_id":"2506.13239","last_updated":"2025-06-16T08:38:56Z","snapshot_observed_at":"2026-08-16T15:54:39.632914Z","submitted_at":"2025-06-16T08:38:56Z","title":"Restarted contractive operators to learn at equilibrium","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-07T00:45:25.721795Z"},"links":{"citing_paper":"/paper/2506.13239"},"observation_digest":"sha256:85302f6faa2d5fe520365e71f956b1fad2b2b22cbad319f84008487d7cbc2fce","observation_id":"407f8af6-3552-41b6-8318-9d53ad086ecf","resolution":{"observed_at":"2026-08-07T00:45:28.300844Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-07T00:45:28.279279Z","title":"An introduction to continuous optimization for imaging","venue":null,"work_id":"2e139124-6bed-4cbd-83b3-97b3eceec3e2","year":2016},"citing_paper":{"arxiv_id":"2506.13239","last_updated":"2025-06-16T08:38:56Z","snapshot_observed_at":"2026-08-16T15:54:39.632914Z","submitted_at":"2025-06-16T08:38:56Z","title":"Restarted contractive operators to learn at equilibrium","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-07T00:45:25.741335Z"},"links":{"citing_paper":"/paper/2506.13239"},"observation_digest":"sha256:1375e3a2fae5d192fc9843b78c52077d2bc3b72c93bf1c7e0fd1cc9ee1673173","observation_id":"3e44a3b0-36cb-4560-8e5f-9c23808d6c84","resolution":{"observed_at":"2026-08-07T00:45:28.285654Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-07T00:45:25.769750Z","title":"Optimization and nonsmooth analysis","venue":null,"work_id":null,"year":1990},"citing_paper":{"arxiv_id":"2506.13239","last_updated":"2025-06-16T08:38:56Z","snapshot_observed_at":"2026-08-16T15:54:39.632914Z","submitted_at":"2025-06-16T08:38:56Z","title":"Restarted contractive operators to learn at equilibrium","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-07T00:45:25.769750Z"},"links":{"citing_paper":"/paper/2506.13239"},"observation_digest":"sha256:0b7a9e1d15c77a09ee5d0735d0bcacd969bf5422f707e1d59663c718d5ddafc3","observation_id":"9ecb3e13-bf6f-409d-ba02-2b1bf3bb56a3","resolution":{"observed_at":"2026-08-07T00:45:25.769750Z","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":"2026-08-07T00:45:28.252538Z","title":"Combettes and Jean-Christophe Pesquet","venue":null,"work_id":"4f09aaf4-d83a-496e-884d-2ffc95863d1f","year":2011},"citing_paper":{"arxiv_id":"2506.13239","last_updated":"2025-06-16T08:38:56Z","snapshot_observed_at":"2026-08-16T15:54:39.632914Z","submitted_at":"2025-06-16T08:38:56Z","title":"Restarted contractive operators to learn at equilibrium","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-07T00:45:25.820330Z"},"links":{"citing_paper":"/paper/2506.13239"},"observation_digest":"sha256:4312de05d77bd292bb48edd83b61bc455f31f1a8a224e1962e538f28a5dbff9d","observation_id":"ecc45ae6-445a-4fc5-b095-7ea9ec4bafe3","resolution":{"observed_at":"2026-08-07T00:45:28.257381Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-07T00:45:28.237774Z","title":null,"venue":null,"work_id":"1e159410-d9e3-419d-95cf-b6857cfcbda6","year":2022},"citing_paper":{"arxiv_id":"2506.13239","last_updated":"2025-06-16T08:38:56Z","snapshot_observed_at":"2026-08-16T15:54:39.632914Z","submitted_at":"2025-06-16T08:38:56Z","title":"Restarted contractive operators to learn at equilibrium","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-07T00:45:25.845434Z"},"links":{"citing_paper":"/paper/2506.13239"},"observation_digest":"sha256:56c7f9fce17513104fd874b5c3b37404285761376bf7683aa8edeb8e95cbe0ca","observation_id":"3541cb83-3107-434c-aa4e-be7bbeb67ad6","resolution":{"observed_at":"2026-08-07T00:45:28.242632Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-07T00:45:28.218777Z","title":"Ten Lectures on Wavelets","venue":null,"work_id":"de7ac706-f215-4fc5-b6e5-171b63a15c85","year":1992},"citing_paper":{"arxiv_id":"2506.13239","last_updated":"2025-06-16T08:38:56Z","snapshot_observed_at":"2026-08-16T15:54:39.632914Z","submitted_at":"2025-06-16T08:38:56Z","title":"Restarted contractive operators to learn at equilibrium","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-07T00:45:25.892053Z"},"links":{"citing_paper":"/paper/2506.13239"},"observation_digest":"sha256:90432a987a8927d88d8ade5bb7e56159012b1d46af62ab8e95eff4877c29b549","observation_id":"9bae6a23-882b-470c-9415-f56f31062b59","resolution":{"observed_at":"2026-08-07T00:45:28.225424Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-07T00:45:28.201448Z","title":"Stein unbiased gradient estimator of the risk (SUGAR) for multiple parameter selection","venue":null,"work_id":"2c143e62-680c-4f7c-bc1c-9e0f69447cd0","year":2014},"citing_paper":{"arxiv_id":"2506.13239","last_updated":"2025-06-16T08:38:56Z","snapshot_observed_at":"2026-08-16T15:54:39.632914Z","submitted_at":"2025-06-16T08:38:56Z","title":"Restarted contractive operators to learn at equilibrium","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-07T00:45:25.946001Z"},"links":{"citing_paper":"/paper/2506.13239"},"observation_digest":"sha256:16552c63013fc7cecf3d58183ba86bc0f33a847e46fb15e80ed178807dc6cc0b","observation_id":"b77c2d59-4dd4-475b-8ce9-c3b293259971","resolution":{"observed_at":"2026-08-07T00:45:28.207377Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-07T00:45:28.183183Z","title":"JFB: Jacobian-free backpropagation for implicit networks","venue":null,"work_id":"e74a7536-f33e-4717-8e80-4770a020d916","year":2022},"citing_paper":{"arxiv_id":"2506.13239","last_updated":"2025-06-16T08:38:56Z","snapshot_observed_at":"2026-08-16T15:54:39.632914Z","submitted_at":"2025-06-16T08:38:56Z","title":"Restarted contractive operators to learn at equilibrium","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-07T00:45:25.992832Z"},"links":{"citing_paper":"/paper/2506.13239"},"observation_digest":"sha256:8c5408f3f9e6797f5fdd5ff0c8caef843644b42b131040b4e73a8d8ba2210ebc","observation_id":"b967027a-716d-4f24-b976-ebc6665fa852","resolution":{"observed_at":"2026-08-07T00:45:28.189948Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-07T00:45:28.163112Z","title":"Deep equilibrium architectures for inverse problems in imaging","venue":null,"work_id":"236aa8dc-d43a-416b-a17c-6091636d7d66","year":2021},"citing_paper":{"arxiv_id":"2506.13239","last_updated":"2025-06-16T08:38:56Z","snapshot_observed_at":"2026-08-16T15:54:39.632914Z","submitted_at":"2025-06-16T08:38:56Z","title":"Restarted contractive operators to learn at equilibrium","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-07T00:45:26.046886Z"},"links":{"citing_paper":"/paper/2506.13239"},"observation_digest":"sha256:d891f513ab6dca629a8a0bc595054677da7e5e62d08420d29df3d133fefdc55a","observation_id":"c77d3d4f-10e7-4ee6-b657-6a14b96f04d5","resolution":{"observed_at":"2026-08-07T00:45:28.170519Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-07T00:45:28.141596Z","title":"Learning fast approximations of sparse coding","venue":null,"work_id":"77e5e6f5-105b-4782-b63c-06f8ce79ebe6","year":2010},"citing_paper":{"arxiv_id":"2506.13239","last_updated":"2025-06-16T08:38:56Z","snapshot_observed_at":"2026-08-16T15:54:39.632914Z","submitted_at":"2025-06-16T08:38:56Z","title":"Restarted contractive operators to learn at equilibrium","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-07T00:45:26.161430Z"},"links":{"citing_paper":"/paper/2506.13239"},"observation_digest":"sha256:658d3b6f2183543e1dc0ab8ad4fad9ac35e44688e167fd0ac78e5ef0eb225ac8","observation_id":"475effcd-7937-4c3e-af51-4d0f0587ea1e","resolution":{"observed_at":"2026-08-07T00:45:28.148961Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-07T00:45:28.122599Z","title":"On automatic differentiation","venue":null,"work_id":"cef74cec-d682-488d-8900-112988098592","year":1989},"citing_paper":{"arxiv_id":"2506.13239","last_updated":"2025-06-16T08:38:56Z","snapshot_observed_at":"2026-08-16T15:54:39.632914Z","submitted_at":"2025-06-16T08:38:56Z","title":"Restarted contractive operators to learn at equilibrium","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-07T00:45:26.245701Z"},"links":{"citing_paper":"/paper/2506.13239"},"observation_digest":"sha256:604a841e8797580061e5ceef5e1c52c1378b3b011e91eb0a7396a79972f34ce4","observation_id":"df3488e2-bd81-4133-8c8d-cfc0397c3344","resolution":{"observed_at":"2026-08-07T00:45:28.129179Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-07T00:45:28.101484Z","title":"Proximal denoiser for convergent Plug-and-Play optimization with nonconvex regularization","venue":null,"work_id":"b07053f7-2369-4dbf-9bb4-fa430cd3d1cd","year":2022},"citing_paper":{"arxiv_id":"2506.13239","last_updated":"2025-06-16T08:38:56Z","snapshot_observed_at":"2026-08-16T15:54:39.632914Z","submitted_at":"2025-06-16T08:38:56Z","title":"Restarted contractive operators to learn at equilibrium","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-07T00:45:26.316284Z"},"links":{"citing_paper":"/paper/2506.13239"},"observation_digest":"sha256:8a5ffd577d0f305517f0b71bfaf6c6e8855aafe07c939bb553d31a2b1671c244","observation_id":"d3dc317c-85ef-4704-ab37-f3f6c6cbee23","resolution":{"observed_at":"2026-08-07T00:45:28.107862Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-07T00:45:28.080722Z","title":"A deep primal-dual proximal network for image restora- tion","venue":null,"work_id":"12c32795-cbdd-417f-9978-1451d683ea8c","year":2021},"citing_paper":{"arxiv_id":"2506.13239","last_updated":"2025-06-16T08:38:56Z","snapshot_observed_at":"2026-08-16T15:54:39.632914Z","submitted_at":"2025-06-16T08:38:56Z","title":"Restarted contractive operators to learn at equilibrium","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-07T00:45:26.403359Z"},"links":{"citing_paper":"/paper/2506.13239"},"observation_digest":"sha256:292d02f4f0d4f004cc25242c6f6be291862872c514a1d2d381cd38f88cb80ee9","observation_id":"4b428a85-b675-4cdb-a2bb-d6bfc6a07024","resolution":{"observed_at":"2026-08-07T00:45:28.089006Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-07T00:45:28.058531Z","title":"Kamilov, Charles A","venue":null,"work_id":"9e3fc395-b094-4219-8e95-1676238dbe5a","year":2023},"citing_paper":{"arxiv_id":"2506.13239","last_updated":"2025-06-16T08:38:56Z","snapshot_observed_at":"2026-08-16T15:54:39.632914Z","submitted_at":"2025-06-16T08:38:56Z","title":"Restarted contractive operators to learn at equilibrium","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-07T00:45:26.482839Z"},"links":{"citing_paper":"/paper/2506.13239"},"observation_digest":"sha256:2e54673261f0f4cee21453927141f590891f92f2dc4af8ea79a403df9689e0fe","observation_id":"e526e69f-a6f9-4975-950a-e404a4876346","resolution":{"observed_at":"2026-08-07T00:45:28.068074Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1412.6980","last_updated":"2017-01-30T01:27:54Z","snapshot_observed_at":"2026-08-17T19:26:44.032537Z","submitted_at":"2014-12-22T13:54:29Z","title":"Adam: A Method for Stochastic Optimization","version":9},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1412.6980","snapshot_observed_at":"2026-08-07T00:45:26.520330Z","title":"Kingma and Jimmy Ba","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2506.13239","last_updated":"2025-06-16T08:38:56Z","snapshot_observed_at":"2026-08-16T15:54:39.632914Z","submitted_at":"2025-06-16T08:38:56Z","title":"Restarted contractive operators to learn at equilibrium","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-07T00:45:26.520330Z"},"links":{"cited_paper":"/paper/1412.6980","citing_paper":"/paper/2506.13239"},"observation_digest":"sha256:8c25e730dc3cfe8e4f599a6a7a48ba2fffd157b08c92b82f5c7516d653bac1f0","observation_id":"c3e6c2f9-7d82-4ef4-8d98-3fdbddd3f41d","resolution":{"observed_at":"2026-08-07T00:45:26.520330Z","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":"2026-08-07T00:45:28.034754Z","title":"The faster proximal algorithm, the better unfolded deep learning architecture ? The study case of image denoising","venue":null,"work_id":"7bae7bb4-f615-4bc7-8a47-f0ed43a1ddc2","year":2022},"citing_paper":{"arxiv_id":"2506.13239","last_updated":"2025-06-16T08:38:56Z","snapshot_observed_at":"2026-08-16T15:54:39.632914Z","submitted_at":"2025-06-16T08:38:56Z","title":"Restarted contractive operators to learn at equilibrium","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-07T00:45:26.572743Z"},"links":{"citing_paper":"/paper/2506.13239"},"observation_digest":"sha256:92468340f13c98b0c705e18109ce4728c8f4e8fdf5316eb54205e4403db862e2","observation_id":"28fd4a69-25f6-45c5-999a-d3b28b0e1627","resolution":{"observed_at":"2026-08-07T00:45:28.041970Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-07T00:45:28.013623Z","title":"Academic Press, Inc., USA, 3rd edition, 2008","venue":null,"work_id":"63accf3b-5f54-415e-a9fe-b91ae48fd684","year":2008},"citing_paper":{"arxiv_id":"2506.13239","last_updated":"2025-06-16T08:38:56Z","snapshot_observed_at":"2026-08-16T15:54:39.632914Z","submitted_at":"2025-06-16T08:38:56Z","title":"Restarted contractive operators to learn at equilibrium","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-07T00:45:26.596901Z"},"links":{"citing_paper":"/paper/2506.13239"},"observation_digest":"sha256:2bb63db27dd96681c55bc1e5c5effc954a4cf8c757d1902c66f2a6c0070447e5","observation_id":"948a97cb-9e47-4929-8401-89daa278860d","resolution":{"observed_at":"2026-08-07T00:45:28.020163Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-07T00:45:27.991566Z","title":"Mordukhovich","venue":null,"work_id":"479ee5fd-5180-4fd8-a5b6-48fc9b146423","year":2006},"citing_paper":{"arxiv_id":"2506.13239","last_updated":"2025-06-16T08:38:56Z","snapshot_observed_at":"2026-08-16T15:54:39.632914Z","submitted_at":"2025-06-16T08:38:56Z","title":"Restarted contractive operators to learn at equilibrium","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-07T00:45:26.708594Z"},"links":{"citing_paper":"/paper/2506.13239"},"observation_digest":"sha256:892e1ce0828debd47f976e53b99ca37a5c9cb79e633b5fb9bb9f4bda1dae239e","observation_id":"e78f7b6d-2547-4d35-b724-9ee073169c4e","resolution":{"observed_at":"2026-08-07T00:45:27.999465Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-07T00:45:27.968147Z","title":"Map-Informed Unrolled Algorithms for Hyper-Parameter Estimation","venue":null,"work_id":"dba11c81-0ba5-4f31-a8dc-006ead9d8cc3","year":2023},"citing_paper":{"arxiv_id":"2506.13239","last_updated":"2025-06-16T08:38:56Z","snapshot_observed_at":"2026-08-16T15:54:39.632914Z","submitted_at":"2025-06-16T08:38:56Z","title":"Restarted contractive operators to learn at equilibrium","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-07T00:45:26.822168Z"},"links":{"citing_paper":"/paper/2506.13239"},"observation_digest":"sha256:c3b71c35dfedd253daf7c0f5d7e35312976df51afafdd78232dd190e2db6aaca","observation_id":"78712b26-f468-4844-911b-b17613be0fe7","resolution":{"observed_at":"2026-08-07T00:45:27.975231Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-07T00:45:27.946537Z","title":"Automated data-driven selection of the hyperparameters for total-variation-based texture segmentation","venue":null,"work_id":"9fbefe4c-15e9-4b02-942e-ea8395be3b96","year":2021},"citing_paper":{"arxiv_id":"2506.13239","last_updated":"2025-06-16T08:38:56Z","snapshot_observed_at":"2026-08-16T15:54:39.632914Z","submitted_at":"2025-06-16T08:38:56Z","title":"Restarted contractive operators to learn at equilibrium","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-07T00:45:26.932915Z"},"links":{"citing_paper":"/paper/2506.13239"},"observation_digest":"sha256:0b71f750067e9d7532363187ea12c44a98a3a786b8af4a7ba628172649658230","observation_id":"428ed555-917e-4fcb-823f-b946b9769f50","resolution":{"observed_at":"2026-08-07T00:45:27.953397Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-07T00:45:27.925349Z","title":"Implicit differenti- ation for hyperparameter tuning the weighted graphical lasso","venue":null,"work_id":"90c4a264-c818-49d1-95cf-322146685a53","year":2023},"citing_paper":{"arxiv_id":"2506.13239","last_updated":"2025-06-16T08:38:56Z","snapshot_observed_at":"2026-08-16T15:54:39.632914Z","submitted_at":"2025-06-16T08:38:56Z","title":"Restarted contractive operators to learn at equilibrium","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-07T00:45:27.022654Z"},"links":{"citing_paper":"/paper/2506.13239"},"observation_digest":"sha256:bbf1748854c4f28e57af0837662d4429b52759d4e014c457808a1d1db2e33bf2","observation_id":"4e5c1b85-2efa-4cee-af98-ffde0e43aa7e","resolution":{"observed_at":"2026-08-07T00:45:27.932904Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-07T00:45:27.904667Z","title":"Wavelet-based image deconvolution and reconstruction","venue":null,"work_id":"0c153e71-5a2b-4826-8de3-9b71731d6963","year":2016},"citing_paper":{"arxiv_id":"2506.13239","last_updated":"2025-06-16T08:38:56Z","snapshot_observed_at":"2026-08-16T15:54:39.632914Z","submitted_at":"2025-06-16T08:38:56Z","title":"Restarted contractive operators to learn at equilibrium","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-07T00:45:27.042647Z"},"links":{"citing_paper":"/paper/2506.13239"},"observation_digest":"sha256:ae399e0f78be29d52e852ec2ce1fdc34edfaa8696f066e606a8f8158374d1ff4","observation_id":"dc1a1737-f3a3-4b0a-b654-29f4b29919c5","resolution":{"observed_at":"2026-08-07T00:45:27.913389Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-07T00:45:27.885563Z","title":"Monte-Carlo sure: A black-box opti- mization of regularization parameters for general denoising algorithms","venue":null,"work_id":"2b6da547-ecaa-4f73-b6e7-db8500d80c01","year":2008},"citing_paper":{"arxiv_id":"2506.13239","last_updated":"2025-06-16T08:38:56Z","snapshot_observed_at":"2026-08-16T15:54:39.632914Z","submitted_at":"2025-06-16T08:38:56Z","title":"Restarted contractive operators to learn at equilibrium","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-07T00:45:27.047967Z"},"links":{"citing_paper":"/paper/2506.13239"},"observation_digest":"sha256:54d68bb89f56d3d4796141c4bd1454ca312ef1984b5dec25e3269e06a74a023f","observation_id":"c7b4d56e-6281-4935-abc9-96eea21ce73a","resolution":{"observed_at":"2026-08-07T00:45:27.892433Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-07T00:45:27.866161Z","title":"Dual Forward- Backward unfolded network for flexible Plug-and-Play","venue":null,"work_id":"d65b95e0-404d-4e3d-9767-6406a5792dc3","year":2022},"citing_paper":{"arxiv_id":"2506.13239","last_updated":"2025-06-16T08:38:56Z","snapshot_observed_at":"2026-08-16T15:54:39.632914Z","submitted_at":"2025-06-16T08:38:56Z","title":"Restarted contractive operators to learn at equilibrium","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-07T00:45:27.065097Z"},"links":{"citing_paper":"/paper/2506.13239"},"observation_digest":"sha256:ba87af3d73ef55f788c91981c69a514feb6f80463da05ae25487e23081c20d87","observation_id":"8e82b8b8-3cfe-4720-b8c8-d17a32900095","resolution":{"observed_at":"2026-08-07T00:45:27.874784Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-07T00:45:27.844069Z","title":"Translated by Leo F","venue":null,"work_id":"68215794-69cd-4d0f-84e9-ae1eaad6f7ba","year":1955},"citing_paper":{"arxiv_id":"2506.13239","last_updated":"2025-06-16T08:38:56Z","snapshot_observed_at":"2026-08-16T15:54:39.632914Z","submitted_at":"2025-06-16T08:38:56Z","title":"Restarted contractive operators to learn at equilibrium","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-07T00:45:27.142248Z"},"links":{"citing_paper":"/paper/2506.13239"},"observation_digest":"sha256:e12ddab821049f5ffdab6562223e8bfa0dbeaad1cfb5ecfab5070018d40d2d84","observation_id":"d0621469-262e-4613-a154-ccc111df71ea","resolution":{"observed_at":"2026-08-07T00:45:27.851507Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-07T00:45:27.824571Z","title":"Chouzenoux, Jean-Christophe Pesquet, and Cyril Riddell","venue":null,"work_id":"c532f08b-fa58-4410-9369-114bbbc32b45","year":2023},"citing_paper":{"arxiv_id":"2506.13239","last_updated":"2025-06-16T08:38:56Z","snapshot_observed_at":"2026-08-16T15:54:39.632914Z","submitted_at":"2025-06-16T08:38:56Z","title":"Restarted contractive operators to learn at equilibrium","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-07T00:45:27.247633Z"},"links":{"citing_paper":"/paper/2506.13239"},"observation_digest":"sha256:b7774eb9bb7ec3c8fcf0c3747cecadbf3369fd26a6527e5a5e9dfb9256f735a9","observation_id":"b05c4290-7989-4110-b629-b176cadea0a8","resolution":{"observed_at":"2026-08-07T00:45:27.831048Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-07T00:45:27.807342Z","title":"Linearly convergent bilevel optimization with single- step inner methods","venue":null,"work_id":"cf698024-0560-4503-87d6-1e82d99606d0","year":2024},"citing_paper":{"arxiv_id":"2506.13239","last_updated":"2025-06-16T08:38:56Z","snapshot_observed_at":"2026-08-16T15:54:39.632914Z","submitted_at":"2025-06-16T08:38:56Z","title":"Restarted contractive operators to learn at equilibrium","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-07T00:45:27.312999Z"},"links":{"citing_paper":"/paper/2506.13239"},"observation_digest":"sha256:ff9e9b5cabb6b3051f5a1ab4dc8684dba0116780b62bbe92e5719d90d69a1800","observation_id":"c97941dc-a957-472a-afc6-46fffa04c133","resolution":{"observed_at":"2026-08-07T00:45:27.812785Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2408.08123","last_updated":"2025-08-04T13:11:22Z","snapshot_observed_at":"2026-08-20T18:05:31.675081Z","submitted_at":"2024-08-15T12:50:07Z","title":"Single-loop methods for bilevel parameter learning in inverse imaging","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2408.08123","snapshot_observed_at":"2026-08-07T00:45:27.379865Z","title":"Single-loop methods for bilevel parameter learning in inverse imaging","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2506.13239","last_updated":"2025-06-16T08:38:56Z","snapshot_observed_at":"2026-08-16T15:54:39.632914Z","submitted_at":"2025-06-16T08:38:56Z","title":"Restarted contractive operators to learn at equilibrium","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-07T00:45:27.379865Z"},"links":{"cited_paper":"/paper/2408.08123","citing_paper":"/paper/2506.13239"},"observation_digest":"sha256:22e76e8b60c172dd912330ef81136f175a0cab12b9b12e9a1f6a4c7f4cd3ae3e","observation_id":"4a913609-4501-4b1a-81b1-a17d1d03d7c5","resolution":{"observed_at":"2026-08-07T00:45:27.379865Z","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":"2026-08-07T00:45:27.788248Z","title":"Deepinverse: A deep learning framework for inverse problems in imaging","venue":null,"work_id":"d78ee707-c37c-4ba8-a094-763d267fb95e","year":2023},"citing_paper":{"arxiv_id":"2506.13239","last_updated":"2025-06-16T08:38:56Z","snapshot_observed_at":"2026-08-16T15:54:39.632914Z","submitted_at":"2025-06-16T08:38:56Z","title":"Restarted contractive operators to learn at equilibrium","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-07T00:45:27.422240Z"},"links":{"citing_paper":"/paper/2506.13239"},"observation_digest":"sha256:225b25adb29bc2b26241e09f5e42b0a2da94dbfca0bcd90f29fb3c323d72e739","observation_id":"093851ba-3134-4e45-8270-7915d8e92d4c","resolution":{"observed_at":"2026-08-07T00:45:27.795035Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-07T00:45:27.770184Z","title":"UNSURE: self-supervised learning with unknown noise level and stein’s unbiased risk estimate","venue":null,"work_id":"2cadd463-e2e7-400b-83e7-b0b33799f174","year":2025},"citing_paper":{"arxiv_id":"2506.13239","last_updated":"2025-06-16T08:38:56Z","snapshot_observed_at":"2026-08-16T15:54:39.632914Z","submitted_at":"2025-06-16T08:38:56Z","title":"Restarted contractive operators to learn at equilibrium","version":1},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-07T00:45:27.479830Z"},"links":{"citing_paper":"/paper/2506.13239"},"observation_digest":"sha256:8949f224793fc9b950d34cda8eaaca9de995e4a097cb798dcf5b80de6f3c05c4","observation_id":"e3f3b985-17ef-46e0-aa27-15ddf7ad37c8","resolution":{"observed_at":"2026-08-07T00:45:27.777575Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-07T00:45:27.751911Z","title":"Taylor, Julien M","venue":null,"work_id":"03a5c590-57a4-4b6c-88e8-380a0be30d96","year":2018},"citing_paper":{"arxiv_id":"2506.13239","last_updated":"2025-06-16T08:38:56Z","snapshot_observed_at":"2026-08-16T15:54:39.632914Z","submitted_at":"2025-06-16T08:38:56Z","title":"Restarted contractive operators to learn at equilibrium","version":1},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-07T00:45:27.551487Z"},"links":{"citing_paper":"/paper/2506.13239"},"observation_digest":"sha256:f1a1cc6e2999ab7f90b74c3710f3cbab95e0078e10b93148c790f957c9a30b9d","observation_id":"b60a0e40-ccbd-4b43-a9da-fd1af4b42bcb","resolution":{"observed_at":"2026-08-07T00:45:27.758213Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-07T00:45:27.731364Z","title":"Plug- and-play image restoration with deep denoiser prior","venue":null,"work_id":"7f5646fa-a316-4722-ba9e-5fcbc7d7ee9f","year":2021},"citing_paper":{"arxiv_id":"2506.13239","last_updated":"2025-06-16T08:38:56Z","snapshot_observed_at":"2026-08-16T15:54:39.632914Z","submitted_at":"2025-06-16T08:38:56Z","title":"Restarted contractive operators to learn at equilibrium","version":1},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-07T00:45:27.600320Z"},"links":{"citing_paper":"/paper/2506.13239"},"observation_digest":"sha256:08f9f415c2aee4eb362a2181ebcaa1bca1051a20c7cb68d56a127d0c6c3d76cd","observation_id":"54128551-53b6-43b3-8795-6b7a63917ce8","resolution":{"observed_at":"2026-08-07T00:45:27.738498Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-07T00:45:27.713137Z","title":null,"venue":null,"work_id":"f570ad2b-ddde-4d71-8ee0-c201f0db71e9","year":2023},"citing_paper":{"arxiv_id":"2506.13239","last_updated":"2025-06-16T08:38:56Z","snapshot_observed_at":"2026-08-16T15:54:39.632914Z","submitted_at":"2025-06-16T08:38:56Z","title":"Restarted contractive operators to learn at equilibrium","version":1},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-07T00:45:27.610948Z"},"links":{"citing_paper":"/paper/2506.13239"},"observation_digest":"sha256:929082d7af32fac21b061c537aa346c22619f29706d7e84ac376b68f1f759821","observation_id":"95da2d53-e9aa-4d52-8ddf-20564783a904","resolution":{"observed_at":"2026-08-07T00:45:27.719438Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2506.13239","last_updated":"2025-06-16T08:38:56Z","latest_version":1,"primary_category":"math.OC","snapshot_observed_at":"2026-08-16T15:54:39.632914Z","submitted_at":"2025-06-16T08:38:56Z","title":"Restarted contractive operators to learn at equilibrium"},"reference_resolution":{"displayed":40,"state_counts":{"malformed_identifier":0,"metadata_mismatch":1,"parse_uncertain":0,"unresolved":5,"verified_exact":0,"verified_fuzzy":34},"total_outbound_references":40},"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":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"thesis":"As of 21 August 2026, this Paper Citation Record lists 40 of 40 outbound references and 0 inbound Pith citation observations for arXiv:2506.13239."}