{"as_of":"2026-08-09T15:47:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:53a099df260cf0534e9739ad09faf26c1316d4ce9108a122dfaac64730e8858b","coverage":[{"denominator":63,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":63,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-07T23:41:20.458707Z","state":"measured"},{"denominator":65,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":65,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-09T06:31:02.800959+00:00","state":"measured"},{"denominator":2,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":2,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-05T11:32:37.505199Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"arxiv_reference","source_observed_at":"2026-05-22T23:35:13.309563Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2502.08835","last_updated":"2025-02-12T22:52:15Z","snapshot_observed_at":"2026-08-09T15:28:09.504732Z","submitted_at":"2025-02-12T22:52:15Z","title":"A Bundle-based Augmented Lagrangian Framework: Algorithm, Convergence, and Primal-dual Principles","version":1},"cited_work":{"arxiv_id":"2502.08835","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2502.08835","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"A bundle-based augmented Lagrangian framework: Algorithm, conver- gence, and primal–dual principles","venue":null,"work_id":"c618065d-3cd4-430e-b422-e7886b31338c","year":2025},"citing_paper":{"arxiv_id":"2503.20142","last_updated":"2026-05-16T13:28:55Z","snapshot_observed_at":"2026-08-06T23:54:41.467488Z","submitted_at":"2025-03-26T01:16:42Z","title":"Local Linear Convergence of the Alternating Direction Method of Multipliers for Semidefinite Programming under Strict Complementarity","version":4},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-05-22T23:35:06.548892Z"},"links":{"cited_paper":"/paper/2502.08835","citing_paper":"/paper/2503.20142"},"observation_digest":"sha256:5e93f80249acad4a7ba71d5328c6a241ef39497122ae253c751f8b3f96f8a71f","observation_id":"5a285d1b-bd83-437b-9d62-9355485e1cb2","resolution":{"observed_at":"2026-05-22T23:35:13.313610Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2502.08835","last_updated":"2025-02-12T22:52:15Z","snapshot_observed_at":"2026-08-09T15:28:09.504732Z","submitted_at":"2025-02-12T22:52:15Z","title":"A Bundle-based Augmented Lagrangian Framework: Algorithm, Convergence, and Primal-dual Principles","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2502.08835","snapshot_observed_at":"2026-08-05T11:32:37.505199Z","title":"A bundle-based augmented Lagrangian framework: Algorithm, convergence, and primal-dual principles","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2509.02804","last_updated":"2025-09-02T20:15:47Z","snapshot_observed_at":"2026-08-09T15:28:02.625762Z","submitted_at":"2025-09-02T20:15:47Z","title":"A Proximal Descent Method for Minimizing Weakly Convex Optimization","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-05T11:32:37.505199Z"},"links":{"cited_paper":"/paper/2502.08835","citing_paper":"/paper/2509.02804"},"observation_digest":"sha256:c013622a69176aa20840800a308dc450d2e95f027e66811af4e66af1221b5df8","observation_id":"733b706b-f68c-4656-b2c4-15864ed35dc8","resolution":{"observed_at":"2026-08-05T11:32:37.505199Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2502.08835/citation-record","integrity":"/paper/2502.08835/integrity","json":"/paper/2502.08835/citation-record.json","paper":"/paper/2502.08835"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T23:41:21.347664Z","title":"Convex optimization","venue":null,"work_id":"7a6379d8-48c8-4b51-9ede-c5a62134ea8a","year":2004},"citing_paper":{"arxiv_id":"2502.08835","last_updated":"2025-02-12T22:52:15Z","snapshot_observed_at":"2026-08-09T15:28:09.504732Z","submitted_at":"2025-02-12T22:52:15Z","title":"A Bundle-based Augmented Lagrangian Framework: Algorithm, Convergence, and Primal-dual Principles","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-07T23:41:20.199528Z"},"links":{"citing_paper":"/paper/2502.08835"},"observation_digest":"sha256:c56b293b71ab8baa9bed29dee9024b2826207909f23fa5d7cdb172dbd68649f1","observation_id":"4971fec3-26a8-4cc0-aadd-fac3ba6ab467","resolution":{"observed_at":"2026-08-07T23:41:21.351321Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-07T23:41:21.336683Z","title":"Handbook of semidefinite programming: theory, algorithms, and applications , volume 27","venue":null,"work_id":"063f20b9-dbe4-4689-97e3-e51569b28d07","year":2012},"citing_paper":{"arxiv_id":"2502.08835","last_updated":"2025-02-12T22:52:15Z","snapshot_observed_at":"2026-08-09T15:28:09.504732Z","submitted_at":"2025-02-12T22:52:15Z","title":"A Bundle-based Augmented Lagrangian Framework: Algorithm, Convergence, and Primal-dual Principles","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-07T23:41:20.204994Z"},"links":{"citing_paper":"/paper/2502.08835"},"observation_digest":"sha256:40a1ecd70136cb54e6eb2211ff4de8b60a63619e9ca099667afebaba48547ef0","observation_id":"b9d9da10-8f4b-42d7-9c4c-fb6f5be2e303","resolution":{"observed_at":"2026-08-07T23:41:21.340771Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2402.18514","last_updated":"2024-02-28T17:43:02Z","snapshot_observed_at":"2026-08-09T13:11:23.970650Z","submitted_at":"2024-02-28T17:43:02Z","title":"A Primal-Dual Frank-Wolfe Algorithm for Linear Programming","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2402.18514","snapshot_observed_at":"2026-08-07T23:41:20.210080Z","title":"A primal-dual Frank-Wolf e algorithm for linear programming","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2502.08835","last_updated":"2025-02-12T22:52:15Z","snapshot_observed_at":"2026-08-09T15:28:09.504732Z","submitted_at":"2025-02-12T22:52:15Z","title":"A Bundle-based Augmented Lagrangian Framework: Algorithm, Convergence, and Primal-dual Principles","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-07T23:41:20.210080Z"},"links":{"cited_paper":"/paper/2402.18514","citing_paper":"/paper/2502.08835"},"observation_digest":"sha256:180f15bce5737fcf89b3d65fbe70534e1c885ba23c33fa9ea125fd9a694f355a","observation_id":"46c3bcbb-ceb8-4847-b04e-cd28f1f05154","resolution":{"observed_at":"2026-08-07T23:41:20.210080Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T23:41:20.215087Z","title":"An overview and compa rison of spectral bundle methods for primal and dual semidefinite programs","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2502.08835","last_updated":"2025-02-12T22:52:15Z","snapshot_observed_at":"2026-08-09T15:28:09.504732Z","submitted_at":"2025-02-12T22:52:15Z","title":"A Bundle-based Augmented Lagrangian Framework: Algorithm, Convergence, and Primal-dual Principles","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-07T23:41:20.215087Z"},"links":{"citing_paper":"/paper/2502.08835"},"observation_digest":"sha256:26bfb1e158d56b3959ca3887b8cfd0ca2cc9359f1e086446e1f673eb8d94699c","observation_id":"ac623cb0-b7af-4c36-9bd7-a1f80616a0e8","resolution":{"observed_at":"2026-08-07T23:41:20.215087Z","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":"2026-08-07T23:41:21.325114Z","title":"Revisiting spectral bundle metho ds: Primal-dual (sub) linear convergence rates","venue":null,"work_id":"448acc8b-7c07-4824-9de4-ec8a7a84a49b","year":2023},"citing_paper":{"arxiv_id":"2502.08835","last_updated":"2025-02-12T22:52:15Z","snapshot_observed_at":"2026-08-09T15:28:09.504732Z","submitted_at":"2025-02-12T22:52:15Z","title":"A Bundle-based Augmented Lagrangian Framework: Algorithm, Convergence, and Primal-dual Principles","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-07T23:41:20.219673Z"},"links":{"citing_paper":"/paper/2502.08835"},"observation_digest":"sha256:c4796149abf0e578d8192183b6cbe3d1807448f994908909419da3ab089ac315","observation_id":"0f446335-ed9b-482a-a8e9-ebfad08200eb","resolution":{"observed_at":"2026-08-07T23:41:21.329494Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-07T23:41:21.313870Z","title":"Scalable semidefinite programming","venue":null,"work_id":"154de26c-69d3-4443-9eb9-1c8f25fce66b","year":2021},"citing_paper":{"arxiv_id":"2502.08835","last_updated":"2025-02-12T22:52:15Z","snapshot_observed_at":"2026-08-09T15:28:09.504732Z","submitted_at":"2025-02-12T22:52:15Z","title":"A Bundle-based Augmented Lagrangian Framework: Algorithm, Convergence, and Primal-dual Principles","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-07T23:41:20.224075Z"},"links":{"citing_paper":"/paper/2502.08835"},"observation_digest":"sha256:ed33447e0659a09d477347c69af0ff386f495c66a97f9f5971225cc843af184d","observation_id":"949bf6c4-079d-4ba1-963f-768496d8c13b","resolution":{"observed_at":"2026-08-07T23:41:21.317663Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-07T23:41:21.302582Z","title":"Chordal and factor-width decompo- sitions for scalable semidefinite and polynomial optimization","venue":null,"work_id":"8b1dc957-43e3-4ad0-a8e1-4cd2e97f5568","year":2021},"citing_paper":{"arxiv_id":"2502.08835","last_updated":"2025-02-12T22:52:15Z","snapshot_observed_at":"2026-08-09T15:28:09.504732Z","submitted_at":"2025-02-12T22:52:15Z","title":"A Bundle-based Augmented Lagrangian Framework: Algorithm, Convergence, and Primal-dual Principles","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-07T23:41:20.228840Z"},"links":{"citing_paper":"/paper/2502.08835"},"observation_digest":"sha256:0caf30928db517fd5670bf55f8afd33e46900d897dc358b2377f08e1a8ab11b6","observation_id":"e5bcf922-b06c-4e7e-a34a-259747d14d93","resolution":{"observed_at":"2026-08-07T23:41:21.306694Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-07T23:41:21.291122Z","title":"Improved approximation alg orithms for maximum cut and satisfiability problems using semidefinite programming","venue":null,"work_id":"60ae98f3-4fa0-48fa-9825-f4ecabf6563f","year":1995},"citing_paper":{"arxiv_id":"2502.08835","last_updated":"2025-02-12T22:52:15Z","snapshot_observed_at":"2026-08-09T15:28:09.504732Z","submitted_at":"2025-02-12T22:52:15Z","title":"A Bundle-based Augmented Lagrangian Framework: Algorithm, Convergence, and Primal-dual Principles","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-07T23:41:20.233279Z"},"links":{"citing_paper":"/paper/2502.08835"},"observation_digest":"sha256:a8fad728bb6222912b6a73187ee5dacef18e599ad799220fc55a5e1b26b62266","observation_id":"288bd54c-c80c-4d62-915b-58f50d2ced90","resolution":{"observed_at":"2026-08-07T23:41:21.295203Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-07T23:41:21.279538Z","title":"On the constr uction of Lyapunov functions using the sum of squares decomposition","venue":null,"work_id":"947ea4a6-e012-4114-95a5-b4589ccff382","year":2002},"citing_paper":{"arxiv_id":"2502.08835","last_updated":"2025-02-12T22:52:15Z","snapshot_observed_at":"2026-08-09T15:28:09.504732Z","submitted_at":"2025-02-12T22:52:15Z","title":"A Bundle-based Augmented Lagrangian Framework: Algorithm, Convergence, and Primal-dual Principles","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-07T23:41:20.237574Z"},"links":{"citing_paper":"/paper/2502.08835"},"observation_digest":"sha256:0dfee5a0c8fd03d1ec9d0790ad6f63232255f424b578b56f4d5377a7ffb03f6b","observation_id":"ed256fc2-94d2-491c-9aee-43532de12d53","resolution":{"observed_at":"2026-08-07T23:41:21.283821Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-07T23:41:21.267863Z","title":"Decoding binary node labels from censored edge measurements: Phase transition and efficient recovery","venue":null,"work_id":"ac84bb11-06d6-459e-9643-7eab65712782","year":2014},"citing_paper":{"arxiv_id":"2502.08835","last_updated":"2025-02-12T22:52:15Z","snapshot_observed_at":"2026-08-09T15:28:09.504732Z","submitted_at":"2025-02-12T22:52:15Z","title":"A Bundle-based Augmented Lagrangian Framework: Algorithm, Convergence, and Primal-dual Principles","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-07T23:41:20.241545Z"},"links":{"citing_paper":"/paper/2502.08835"},"observation_digest":"sha256:3bcee3cb612f8a80a1abf3dee82238904118356b558e3cb687955c4ce670b7e3","observation_id":"a895ae01-1756-4c8d-9c3e-72147805f29a","resolution":{"observed_at":"2026-08-07T23:41:21.271854Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-07T23:41:21.255838Z","title":"Phaselift: Exact and stable signal recovery from magnitude measurements via convex programming","venue":null,"work_id":"8fff19f0-13a4-4440-96fe-4a26674bfa83","year":2013},"citing_paper":{"arxiv_id":"2502.08835","last_updated":"2025-02-12T22:52:15Z","snapshot_observed_at":"2026-08-09T15:28:09.504732Z","submitted_at":"2025-02-12T22:52:15Z","title":"A Bundle-based Augmented Lagrangian Framework: Algorithm, Convergence, and Primal-dual Principles","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-07T23:41:20.245829Z"},"links":{"citing_paper":"/paper/2502.08835"},"observation_digest":"sha256:ef2cbd6578bc217708f3d76b440e2712ac796f4d75a4bb370bbb28289ff68e96","observation_id":"483d3191-5dfe-4e10-bc4c-ca88dba00d61","resolution":{"observed_at":"2026-08-07T23:41:21.260312Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-07T23:41:21.243936Z","title":"Low-rank matrix recovery from errors and erasures","venue":null,"work_id":"ca0d072d-d92b-4018-b764-d56adc996ae0","year":2013},"citing_paper":{"arxiv_id":"2502.08835","last_updated":"2025-02-12T22:52:15Z","snapshot_observed_at":"2026-08-09T15:28:09.504732Z","submitted_at":"2025-02-12T22:52:15Z","title":"A Bundle-based Augmented Lagrangian Framework: Algorithm, Convergence, and Primal-dual Principles","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-07T23:41:20.250370Z"},"links":{"citing_paper":"/paper/2502.08835"},"observation_digest":"sha256:df636c30725aa54fb09d7fd2a883fa4352b6d2740079c8575dd9377bd709f377","observation_id":"c7b23fb8-c776-45ae-8856-5fd4c16bf2c0","resolution":{"observed_at":"2026-08-07T23:41:21.248103Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-07T23:41:21.231908Z","title":"PEPit: computer-assisted worst-case analyses of fir st-order optimization methods in Python","venue":null,"work_id":"0fb5e295-bf17-4717-bc77-5015d3395968","year":2024},"citing_paper":{"arxiv_id":"2502.08835","last_updated":"2025-02-12T22:52:15Z","snapshot_observed_at":"2026-08-09T15:28:09.504732Z","submitted_at":"2025-02-12T22:52:15Z","title":"A Bundle-based Augmented Lagrangian Framework: Algorithm, Convergence, and Primal-dual Principles","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-07T23:41:20.254524Z"},"links":{"citing_paper":"/paper/2502.08835"},"observation_digest":"sha256:6996d2d26b6b647856e74661460307744b7e97b9d22efbe4ef7ac0256db660d1","observation_id":"0ca04601-96bb-4dc5-a83e-35c1ab535dae","resolution":{"observed_at":"2026-08-07T23:41:21.236289Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-07T23:41:21.219614Z","title":"On the scalability and memory efficiency of semidefinite programs for L ipschitz constant estimation of neural networks","venue":null,"work_id":"081ec544-c583-40da-a075-045179c99440","year":2024},"citing_paper":{"arxiv_id":"2502.08835","last_updated":"2025-02-12T22:52:15Z","snapshot_observed_at":"2026-08-09T15:28:09.504732Z","submitted_at":"2025-02-12T22:52:15Z","title":"A Bundle-based Augmented Lagrangian Framework: Algorithm, Convergence, and Primal-dual Principles","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-07T23:41:20.258749Z"},"links":{"citing_paper":"/paper/2502.08835"},"observation_digest":"sha256:cce989f4b5dac200c535194e578ab26b476acc7164ab39b2707682d39c7d662f","observation_id":"40006afa-5fce-442c-a4e3-ae959dbf8ae6","resolution":{"observed_at":"2026-08-07T23:41:21.223872Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-07T23:41:21.205013Z","title":"Augmented Lagrangians and applications of the proximal point algorithm in convex programming","venue":null,"work_id":"78c0bbc9-8f88-4aa7-bf00-2e344cdc0830","year":1976},"citing_paper":{"arxiv_id":"2502.08835","last_updated":"2025-02-12T22:52:15Z","snapshot_observed_at":"2026-08-09T15:28:09.504732Z","submitted_at":"2025-02-12T22:52:15Z","title":"A Bundle-based Augmented Lagrangian Framework: Algorithm, Convergence, and Primal-dual Principles","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-07T23:41:20.262661Z"},"links":{"citing_paper":"/paper/2502.08835"},"observation_digest":"sha256:165f66a8d70f031199bf83673be835be8651113a82af65b7d1ae01f9c5c7fa98","observation_id":"21e92e8d-4659-4ffb-bcd3-56bc67b60860","resolution":{"observed_at":"2026-08-07T23:41:21.211088Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-07T23:41:21.190674Z","title":"Multiplier and gradient methods","venue":null,"work_id":"6a7cb7e1-9239-4746-ae57-71252a5b051b","year":1969},"citing_paper":{"arxiv_id":"2502.08835","last_updated":"2025-02-12T22:52:15Z","snapshot_observed_at":"2026-08-09T15:28:09.504732Z","submitted_at":"2025-02-12T22:52:15Z","title":"A Bundle-based Augmented Lagrangian Framework: Algorithm, Convergence, and Primal-dual Principles","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-07T23:41:20.266615Z"},"links":{"citing_paper":"/paper/2502.08835"},"observation_digest":"sha256:d0e41a1e1adb26f29d63dae606853070a78638d42edc91a54abd01ee38e7167f","observation_id":"5d6b91e2-1484-44a6-9353-194e43a6fe23","resolution":{"observed_at":"2026-08-07T23:41:21.194741Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-07T23:41:21.177925Z","title":"A method for nonlinear constraints in minimizatio n problems","venue":null,"work_id":"2d54b558-1c12-455c-a9d7-176ffab4c9b0","year":1969},"citing_paper":{"arxiv_id":"2502.08835","last_updated":"2025-02-12T22:52:15Z","snapshot_observed_at":"2026-08-09T15:28:09.504732Z","submitted_at":"2025-02-12T22:52:15Z","title":"A Bundle-based Augmented Lagrangian Framework: Algorithm, Convergence, and Primal-dual Principles","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-07T23:41:20.270696Z"},"links":{"citing_paper":"/paper/2502.08835"},"observation_digest":"sha256:6840aa33e439f2e77dc0a83ce4e39d2419ac67085d750d08eeb31e57d6ee4e2f","observation_id":"7213ef7e-425f-4adb-89a8-50403e919580","resolution":{"observed_at":"2026-08-07T23:41:21.182938Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-07T23:41:21.164905Z","title":"Monotone operators and the proximal p oint algorithm","venue":null,"work_id":"6116faf9-7aa5-4172-9a29-b268ffe20cbc","year":1976},"citing_paper":{"arxiv_id":"2502.08835","last_updated":"2025-02-12T22:52:15Z","snapshot_observed_at":"2026-08-09T15:28:09.504732Z","submitted_at":"2025-02-12T22:52:15Z","title":"A Bundle-based Augmented Lagrangian Framework: Algorithm, Convergence, and Primal-dual Principles","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-07T23:41:20.274640Z"},"links":{"citing_paper":"/paper/2502.08835"},"observation_digest":"sha256:6b620b47367213856715d6f3d4932b0e5a8c1d04eede2c1fb78eb366379f4c9c","observation_id":"18b8ba85-0ef5-4a19-a468-6ffbb68c0949","resolution":{"observed_at":"2026-08-07T23:41:21.169558Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-07T23:41:21.150615Z","title":"Asymptotic convergence analysis of t he proximal point algorithm","venue":null,"work_id":"3b823fdf-e639-4a1f-8f74-a32ee992868d","year":1984},"citing_paper":{"arxiv_id":"2502.08835","last_updated":"2025-02-12T22:52:15Z","snapshot_observed_at":"2026-08-09T15:28:09.504732Z","submitted_at":"2025-02-12T22:52:15Z","title":"A Bundle-based Augmented Lagrangian Framework: Algorithm, Convergence, and Primal-dual Principles","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-07T23:41:20.278468Z"},"links":{"citing_paper":"/paper/2502.08835"},"observation_digest":"sha256:4b87a27958e09282d3f710d0e2ddc40410b79faff22522781cb1605a3a0b30ec","observation_id":"9c15e9e0-f2da-48a6-8c42-6dbe33818e1e","resolution":{"observed_at":"2026-08-07T23:41:21.155937Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-07T23:41:21.134623Z","title":"On the R-superlinear c onvergence of the KKT residuals generated by the augmented Lagrangian method for convex comp osite conic programming","venue":null,"work_id":"379622e1-ecfd-4d08-b25b-fa57b58a62f2","year":2019},"citing_paper":{"arxiv_id":"2502.08835","last_updated":"2025-02-12T22:52:15Z","snapshot_observed_at":"2026-08-09T15:28:09.504732Z","submitted_at":"2025-02-12T22:52:15Z","title":"A Bundle-based Augmented Lagrangian Framework: Algorithm, Convergence, and Primal-dual Principles","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-07T23:41:20.282647Z"},"links":{"citing_paper":"/paper/2502.08835"},"observation_digest":"sha256:851e56b2f8e33a7e5c1c3040baaa67a514983e778cc6ddd643bb3d000121d0c4","observation_id":"95869dfc-188b-4b47-b830-0db3817e75ec","resolution":{"observed_at":"2026-08-07T23:41:21.139665Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-07T23:41:21.120431Z","title":"Iteration complexity of inexact augmented Lagr angian methods for constrained convex programming","venue":null,"work_id":"3c5d89d5-84b0-401a-9a2e-d72b90b78fde","year":2021},"citing_paper":{"arxiv_id":"2502.08835","last_updated":"2025-02-12T22:52:15Z","snapshot_observed_at":"2026-08-09T15:28:09.504732Z","submitted_at":"2025-02-12T22:52:15Z","title":"A Bundle-based Augmented Lagrangian Framework: Algorithm, Convergence, and Primal-dual Principles","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-07T23:41:20.286565Z"},"links":{"citing_paper":"/paper/2502.08835"},"observation_digest":"sha256:67b39514141f18566da25f7299d82c83a245d84e336f0bcbe1988f5eb373e0c7","observation_id":"51ec75e0-6d2c-4928-9842-e09ba144fb8d","resolution":{"observed_at":"2026-08-07T23:41:21.125894Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-07T23:41:21.104695Z","title":"Inexact augmented Lagrangian methods for conic opti- mization: Quadratic growth and linear convergence","venue":null,"work_id":"257076bb-90c7-4a3b-a68a-f921ef1a6262","year":2024},"citing_paper":{"arxiv_id":"2502.08835","last_updated":"2025-02-12T22:52:15Z","snapshot_observed_at":"2026-08-09T15:28:09.504732Z","submitted_at":"2025-02-12T22:52:15Z","title":"A Bundle-based Augmented Lagrangian Framework: Algorithm, Convergence, and Primal-dual Principles","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-07T23:41:20.290664Z"},"links":{"citing_paper":"/paper/2502.08835"},"observation_digest":"sha256:dd8f645fb3eda451b265b62bf255005b65ec6e62671a693b938455938c09220e","observation_id":"e3df9c21-3f92-45a1-a3ad-50566cbf3cef","resolution":{"observed_at":"2026-08-07T23:41:21.109264Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-07T23:41:21.092492Z","title":"A se mismooth Newton-CG based dual PPA for matrix spectral norm approximation problems","venue":null,"work_id":"56c40d4f-73de-4ce7-a58c-0817943f1fca","year":2016},"citing_paper":{"arxiv_id":"2502.08835","last_updated":"2025-02-12T22:52:15Z","snapshot_observed_at":"2026-08-09T15:28:09.504732Z","submitted_at":"2025-02-12T22:52:15Z","title":"A Bundle-based Augmented Lagrangian Framework: Algorithm, Convergence, and Primal-dual Principles","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-07T23:41:20.294964Z"},"links":{"citing_paper":"/paper/2502.08835"},"observation_digest":"sha256:7f67d10fdd9fb3345710dcd1767eaa08e7d44084bae08082225e9ccfcc97c16d","observation_id":"c5864a9b-21b6-474c-a326-e26c16e6705b","resolution":{"observed_at":"2026-08-07T23:41:21.096650Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-07T23:41:21.080710Z","title":"Sdpnal+: A matlab software for semidefinite programming with bound constraints (version 1.0)","venue":null,"work_id":"5e76daa4-1e77-4a63-b893-f8f4cd61e595","year":2020},"citing_paper":{"arxiv_id":"2502.08835","last_updated":"2025-02-12T22:52:15Z","snapshot_observed_at":"2026-08-09T15:28:09.504732Z","submitted_at":"2025-02-12T22:52:15Z","title":"A Bundle-based Augmented Lagrangian Framework: Algorithm, Convergence, and Primal-dual Principles","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-07T23:41:20.299228Z"},"links":{"citing_paper":"/paper/2502.08835"},"observation_digest":"sha256:d78c5191a5db7c532b69a248ac5f042d8d1801c7fac5dbeb0f60c5a328ab7265","observation_id":"756df456-e2ef-4e70-9e18-6413b48ad9bb","resolution":{"observed_at":"2026-08-07T23:41:21.084775Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-07T23:41:21.069337Z","title":"A conditional- gradient-based augmented Lagrangian framework","venue":null,"work_id":"1a2b5014-228d-4230-b7da-d160d7a4e313","year":2019},"citing_paper":{"arxiv_id":"2502.08835","last_updated":"2025-02-12T22:52:15Z","snapshot_observed_at":"2026-08-09T15:28:09.504732Z","submitted_at":"2025-02-12T22:52:15Z","title":"A Bundle-based Augmented Lagrangian Framework: Algorithm, Convergence, and Primal-dual Principles","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-07T23:41:20.303181Z"},"links":{"citing_paper":"/paper/2502.08835"},"observation_digest":"sha256:5868305fbadec401ae40e3aab1f34c329665bcf9ab66eeaaeaeb47080cb7d200","observation_id":"78beae6e-abf7-4d37-bdc9-92ed8c6c7c84","resolution":{"observed_at":"2026-08-07T23:41:21.073539Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-07T23:41:21.057230Z","title":"A fast iterative shrinkage-thresh olding algorithm for linear inverse problems","venue":null,"work_id":"c8c141c8-2ebb-4ff3-b046-760b10ded2e8","year":2009},"citing_paper":{"arxiv_id":"2502.08835","last_updated":"2025-02-12T22:52:15Z","snapshot_observed_at":"2026-08-09T15:28:09.504732Z","submitted_at":"2025-02-12T22:52:15Z","title":"A Bundle-based Augmented Lagrangian Framework: Algorithm, Convergence, and Primal-dual Principles","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-07T23:41:20.307549Z"},"links":{"citing_paper":"/paper/2502.08835"},"observation_digest":"sha256:85b608605eae4e70612a9feb0883faee97f10b845aaa0a34583cc9c9a92fc08f","observation_id":"52fcd9b6-b389-43aa-b24f-1d4640ef6e56","resolution":{"observed_at":"2026-08-07T23:41:21.061682Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-07T23:41:21.045251Z","title":"An algorithm for quadratic p rogramming","venue":null,"work_id":"45ca72e0-65ee-4d1b-b1cc-1bd975909fe6","year":1956},"citing_paper":{"arxiv_id":"2502.08835","last_updated":"2025-02-12T22:52:15Z","snapshot_observed_at":"2026-08-09T15:28:09.504732Z","submitted_at":"2025-02-12T22:52:15Z","title":"A Bundle-based Augmented Lagrangian Framework: Algorithm, Convergence, and Primal-dual Principles","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-07T23:41:20.311786Z"},"links":{"citing_paper":"/paper/2502.08835"},"observation_digest":"sha256:f0130aa13229f06d4f1626c4c7d81a93d45eca6e90f369fc5b9d72218b6a0537","observation_id":"8e497f93-c3f2-407c-999e-d6b0c1448515","resolution":{"observed_at":"2026-08-07T23:41:21.049250Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-07T23:41:21.033042Z","title":"Sdpnal+: a majoriz ed semismooth Newton-CG aug- mented Lagrangian method for semidefinite programming with nonne gative constraints","venue":null,"work_id":"c444b318-f737-47a4-b0ec-0401614db152","year":2015},"citing_paper":{"arxiv_id":"2502.08835","last_updated":"2025-02-12T22:52:15Z","snapshot_observed_at":"2026-08-09T15:28:09.504732Z","submitted_at":"2025-02-12T22:52:15Z","title":"A Bundle-based Augmented Lagrangian Framework: Algorithm, Convergence, and Primal-dual Principles","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-07T23:41:20.316714Z"},"links":{"citing_paper":"/paper/2502.08835"},"observation_digest":"sha256:0c5809ec4da83b64c1e05725c3548e15fad7d87c8683f18e63a46bcc2b8acd02","observation_id":"145ed672-73e2-41d9-aebd-a4aabc1f73ef","resolution":{"observed_at":"2026-08-07T23:41:21.037457Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-07T23:41:21.019297Z","title":"A Newton-CG a ugmented Lagrangian method for semidefinite programming","venue":null,"work_id":"26a82551-4e31-4b8c-85a3-d0fd6404fdca","year":2010},"citing_paper":{"arxiv_id":"2502.08835","last_updated":"2025-02-12T22:52:15Z","snapshot_observed_at":"2026-08-09T15:28:09.504732Z","submitted_at":"2025-02-12T22:52:15Z","title":"A Bundle-based Augmented Lagrangian Framework: Algorithm, Convergence, and Primal-dual Principles","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-07T23:41:20.320765Z"},"links":{"citing_paper":"/paper/2502.08835"},"observation_digest":"sha256:59e072aa10203be91016709c9bafeb00f4b14fbfcef9b336a595a8234c0b04f0","observation_id":"a14c9551-b447-48ed-b146-a60d54b97f78","resolution":{"observed_at":"2026-08-07T23:41:21.024274Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-07T23:41:21.006220Z","title":"Iteration-complexity o f first-order augmented Lagrangian methods for convex programming","venue":null,"work_id":"34cd46a2-2007-4415-9130-3f1006aba365","year":2016},"citing_paper":{"arxiv_id":"2502.08835","last_updated":"2025-02-12T22:52:15Z","snapshot_observed_at":"2026-08-09T15:28:09.504732Z","submitted_at":"2025-02-12T22:52:15Z","title":"A Bundle-based Augmented Lagrangian Framework: Algorithm, Convergence, and Primal-dual Principles","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-07T23:41:20.324735Z"},"links":{"citing_paper":"/paper/2502.08835"},"observation_digest":"sha256:bf806de767391298aab85a30e6244629032bcae8a7e84e7a66db692b83d60acc","observation_id":"74db9424-15c1-4672-a36e-1a0001f0ba55","resolution":{"observed_at":"2026-08-07T23:41:21.010475Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-07T23:41:20.992573Z","title":"Sum of squares basis pursuit wit h linear and second order cone programming","venue":null,"work_id":"0ada9bcc-9ca3-4bc3-898e-fecd61d042be","year":2017},"citing_paper":{"arxiv_id":"2502.08835","last_updated":"2025-02-12T22:52:15Z","snapshot_observed_at":"2026-08-09T15:28:09.504732Z","submitted_at":"2025-02-12T22:52:15Z","title":"A Bundle-based Augmented Lagrangian Framework: Algorithm, Convergence, and Primal-dual Principles","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-07T23:41:20.328686Z"},"links":{"citing_paper":"/paper/2502.08835"},"observation_digest":"sha256:96ee93ee64c66603c6299ae714578e0af55f41e067c936c011745d4b8b881059","observation_id":"a743ff49-ab99-41e2-98c7-7a0a843a1cb0","resolution":{"observed_at":"2026-08-07T23:41:20.997188Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-07T23:41:20.979212Z","title":"Bloc k factor-width-two matrices and their applications to semidefinite and sum-of-squares optimization","venue":null,"work_id":"b1501de5-2f80-447c-b886-1ab2a9eec8d4","year":2022},"citing_paper":{"arxiv_id":"2502.08835","last_updated":"2025-02-12T22:52:15Z","snapshot_observed_at":"2026-08-09T15:28:09.504732Z","submitted_at":"2025-02-12T22:52:15Z","title":"A Bundle-based Augmented Lagrangian Framework: Algorithm, Convergence, and Primal-dual Principles","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-07T23:41:20.332641Z"},"links":{"citing_paper":"/paper/2502.08835"},"observation_digest":"sha256:4dfc8cb5d99a72bcd9690483547ab8acea7bf847c21ddb84f370c99363c4e183","observation_id":"5fee61b0-e6b3-4e66-bcd7-02714d50ad25","resolution":{"observed_at":"2026-08-07T23:41:20.983947Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-07T23:41:20.966037Z","title":"Iterative inner/outer approxim ations for scalable semidefinite programs using block factor-width-two matrices","venue":null,"work_id":"f2cb2e65-2050-4720-b498-6a6020a8b032","year":2022},"citing_paper":{"arxiv_id":"2502.08835","last_updated":"2025-02-12T22:52:15Z","snapshot_observed_at":"2026-08-09T15:28:09.504732Z","submitted_at":"2025-02-12T22:52:15Z","title":"A Bundle-based Augmented Lagrangian Framework: Algorithm, Convergence, and Primal-dual Principles","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-07T23:41:20.336813Z"},"links":{"citing_paper":"/paper/2502.08835"},"observation_digest":"sha256:482b766da4a8d26111dac619bfc0702ae698f4818733733d096248421687bcb9","observation_id":"1fed23b3-be16-47ab-8225-7ac2cbe7b018","resolution":{"observed_at":"2026-08-07T23:41:20.970702Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-07T23:41:20.949967Z","title":"A nonlinear programming algorithm for solving semidefinite programs via low-rank factorization","venue":null,"work_id":"2d997adc-e009-4c41-89dd-8057f1bbea8e","year":2003},"citing_paper":{"arxiv_id":"2502.08835","last_updated":"2025-02-12T22:52:15Z","snapshot_observed_at":"2026-08-09T15:28:09.504732Z","submitted_at":"2025-02-12T22:52:15Z","title":"A Bundle-based Augmented Lagrangian Framework: Algorithm, Convergence, and Primal-dual Principles","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-07T23:41:20.341182Z"},"links":{"citing_paper":"/paper/2502.08835"},"observation_digest":"sha256:b9cd5999912c0b36c52f91adcae276680f2fbb12dcafcd8537438552bd8fe266","observation_id":"15a34116-d86b-40bf-9dec-72b1f9befc76","resolution":{"observed_at":"2026-08-07T23:41:20.955612Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2401.12490","last_updated":"2024-03-16T02:42:13Z","snapshot_observed_at":"2026-07-06T17:19:08.136109Z","submitted_at":"2024-01-23T05:18:17Z","title":"A low-rank augmented Lagrangian method for large-scale semidefinite programming based on a hybrid convex-nonconvex approach","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2401.12490","snapshot_observed_at":"2026-08-07T23:41:20.345193Z","title":"A lo w-rank augmented Lagrangian method for large-scale semidefinite programming based on a hybrid convex- nonconvex approach","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2502.08835","last_updated":"2025-02-12T22:52:15Z","snapshot_observed_at":"2026-08-09T15:28:09.504732Z","submitted_at":"2025-02-12T22:52:15Z","title":"A Bundle-based Augmented Lagrangian Framework: Algorithm, Convergence, and Primal-dual Principles","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-07T23:41:20.345193Z"},"links":{"cited_paper":"/paper/2401.12490","citing_paper":"/paper/2502.08835"},"observation_digest":"sha256:4a3d96d2d3eb38303d688da2a444a94c09b86fe0145ce03ea5fb85bd6bfb38d5","observation_id":"cdd35851-5265-43ca-994e-c9ba9719d452","resolution":{"observed_at":"2026-08-07T23:41:20.345193Z","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":"2026-08-07T23:41:20.934043Z","title":"A feasible method for general convex low-rank SDP problems","venue":null,"work_id":"73a9e8ac-e0cf-4e09-bcd8-e89c542adf91","year":2024},"citing_paper":{"arxiv_id":"2502.08835","last_updated":"2025-02-12T22:52:15Z","snapshot_observed_at":"2026-08-09T15:28:09.504732Z","submitted_at":"2025-02-12T22:52:15Z","title":"A Bundle-based Augmented Lagrangian Framework: Algorithm, Convergence, and Primal-dual Principles","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-07T23:41:20.350449Z"},"links":{"citing_paper":"/paper/2502.08835"},"observation_digest":"sha256:b4f7152a134f2033978c46365ebccf4210ff42251888762e3ba086d20d989b95","observation_id":"b1ddc781-f46c-488f-bcc8-c8c4a714793f","resolution":{"observed_at":"2026-08-07T23:41:20.939921Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-07T23:41:20.920775Z","title":"A dec omposition augmented lagrangian method for low-rank semidefinite programming","venue":null,"work_id":"02de6179-562e-46b5-b667-5ffccc7fbe73","year":2023},"citing_paper":{"arxiv_id":"2502.08835","last_updated":"2025-02-12T22:52:15Z","snapshot_observed_at":"2026-08-09T15:28:09.504732Z","submitted_at":"2025-02-12T22:52:15Z","title":"A Bundle-based Augmented Lagrangian Framework: Algorithm, Convergence, and Primal-dual Principles","version":1},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-07T23:41:20.354342Z"},"links":{"citing_paper":"/paper/2502.08835"},"observation_digest":"sha256:e470c8362d62bc3b8b124dc72b75f92b104e3cd7c53ff9167dc06c19f2019749","observation_id":"de5bfb03-2397-4b67-a199-117e69d70921","resolution":{"observed_at":"2026-08-07T23:41:20.925648Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-07T23:41:20.907129Z","title":"Optimal convergence ratesfor the proximal bundle method","venue":null,"work_id":"3ea99223-aa69-4339-bfd5-062793040954","year":2023},"citing_paper":{"arxiv_id":"2502.08835","last_updated":"2025-02-12T22:52:15Z","snapshot_observed_at":"2026-08-09T15:28:09.504732Z","submitted_at":"2025-02-12T22:52:15Z","title":"A Bundle-based Augmented Lagrangian Framework: Algorithm, Convergence, and Primal-dual Principles","version":1},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-07T23:41:20.358496Z"},"links":{"citing_paper":"/paper/2502.08835"},"observation_digest":"sha256:b2e4d5a870e745abed1396014354fbd66ccea4caa448f21c60716ee81cd200a9","observation_id":"8731ea68-d284-4d82-89e9-0c9d88160c1f","resolution":{"observed_at":"2026-08-07T23:41:20.911675Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-07T23:41:20.893990Z","title":"Faster projec tion-free augmented Lagrangian methods via weak proximal oracle","venue":null,"work_id":"39145984-99c3-4c07-8727-0847a303fdf2","year":2023},"citing_paper":{"arxiv_id":"2502.08835","last_updated":"2025-02-12T22:52:15Z","snapshot_observed_at":"2026-08-09T15:28:09.504732Z","submitted_at":"2025-02-12T22:52:15Z","title":"A Bundle-based Augmented Lagrangian Framework: Algorithm, Convergence, and Primal-dual Principles","version":1},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-07T23:41:20.362296Z"},"links":{"citing_paper":"/paper/2502.08835"},"observation_digest":"sha256:fd5157a1ceb25a55902ff6b0f4dbc6f5d56200eec4b7950ac4a7a33a71f7bbf7","observation_id":"89e82393-0480-47e1-bd23-820fd8a37e4c","resolution":{"observed_at":"2026-08-07T23:41:20.898626Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-07T23:41:20.880713Z","title":"On the nonergodic converge nce rate of an inexact aug- mented Lagrangian framework for composite convex programming","venue":null,"work_id":"dca0aba1-26a4-409d-ac1d-71f07c432210","year":2019},"citing_paper":{"arxiv_id":"2502.08835","last_updated":"2025-02-12T22:52:15Z","snapshot_observed_at":"2026-08-09T15:28:09.504732Z","submitted_at":"2025-02-12T22:52:15Z","title":"A Bundle-based Augmented Lagrangian Framework: Algorithm, Convergence, and Primal-dual Principles","version":1},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-07T23:41:20.366093Z"},"links":{"citing_paper":"/paper/2502.08835"},"observation_digest":"sha256:2b8e69ac4702abdfed89a4d37448093a9c4e9e804d2c7df456bce8803ce8bd62","observation_id":"08d85cee-e0ea-4c4a-b0c5-081be52cdfda","resolution":{"observed_at":"2026-08-07T23:41:20.885333Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-07T23:41:20.867409Z","title":"Practical augmented Lagrangian methods for constrained optimization","venue":null,"work_id":"57d73486-fa66-4ff8-ab90-340a53bf2384","year":2014},"citing_paper":{"arxiv_id":"2502.08835","last_updated":"2025-02-12T22:52:15Z","snapshot_observed_at":"2026-08-09T15:28:09.504732Z","submitted_at":"2025-02-12T22:52:15Z","title":"A Bundle-based Augmented Lagrangian Framework: Algorithm, Convergence, and Primal-dual Principles","version":1},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-07T23:41:20.369794Z"},"links":{"citing_paper":"/paper/2502.08835"},"observation_digest":"sha256:f763ead41578b03db3bf2ec6ea12654e837ee51d75c9fbb449ef076da9efce71","observation_id":"565db868-80fc-4d0b-8d97-6e2e2d2908c8","resolution":{"observed_at":"2026-08-07T23:41:20.871979Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-07T23:41:20.853611Z","title":"Metric subregularity and the proximal point metho d","venue":null,"work_id":"249db1e6-62e0-4920-9095-668a48e1a0c8","year":2009},"citing_paper":{"arxiv_id":"2502.08835","last_updated":"2025-02-12T22:52:15Z","snapshot_observed_at":"2026-08-09T15:28:09.504732Z","submitted_at":"2025-02-12T22:52:15Z","title":"A Bundle-based Augmented Lagrangian Framework: Algorithm, Convergence, and Primal-dual Principles","version":1},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-08-07T23:41:20.373486Z"},"links":{"citing_paper":"/paper/2502.08835"},"observation_digest":"sha256:3acf30749d0e6af88fbf2518374a97a6a627bc9ac8b8916781157f0c94c90677","observation_id":"77bfefb8-2abb-4f57-b78d-2c186380f264","resolution":{"observed_at":"2026-08-07T23:41:20.858383Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-07T23:41:20.377365Z","title":"First-order methods in optimization","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2502.08835","last_updated":"2025-02-12T22:52:15Z","snapshot_observed_at":"2026-08-09T15:28:09.504732Z","submitted_at":"2025-02-12T22:52:15Z","title":"A Bundle-based Augmented Lagrangian Framework: Algorithm, Convergence, and Primal-dual Principles","version":1},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-08-07T23:41:20.377365Z"},"links":{"citing_paper":"/paper/2502.08835"},"observation_digest":"sha256:c55b6045c260e22fea36bee4f830e6cce48ab803d2a0bec45bf996a40b33f99e","observation_id":"6d23ebdd-776d-4edf-aa38-21a9d00f3422","resolution":{"observed_at":"2026-08-07T23:41:20.377365Z","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":"2026-08-07T23:41:20.833312Z","title":"A condensed introductio n to bundle methods in nonsmooth optimization","venue":null,"work_id":"d936a20b-2123-4b39-9b66-353db5108457","year":1994},"citing_paper":{"arxiv_id":"2502.08835","last_updated":"2025-02-12T22:52:15Z","snapshot_observed_at":"2026-08-09T15:28:09.504732Z","submitted_at":"2025-02-12T22:52:15Z","title":"A Bundle-based Augmented Lagrangian Framework: Algorithm, Convergence, and Primal-dual Principles","version":1},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-08-07T23:41:20.381707Z"},"links":{"citing_paper":"/paper/2502.08835"},"observation_digest":"sha256:b843d1a66ac5a763a3366dba78cafdcd357df22e5b14fe8019bc73c7e815c6f7","observation_id":"167216fa-08b3-4772-b925-4436bdeeeca6","resolution":{"observed_at":"2026-08-07T23:41:20.837563Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-07T23:41:20.820744Z","title":"Learning the kernel matrix with semidefinite programming","venue":null,"work_id":"d88c4e18-5d08-454f-b84d-52542ac01eec","year":2004},"citing_paper":{"arxiv_id":"2502.08835","last_updated":"2025-02-12T22:52:15Z","snapshot_observed_at":"2026-08-09T15:28:09.504732Z","submitted_at":"2025-02-12T22:52:15Z","title":"A Bundle-based Augmented Lagrangian Framework: Algorithm, Convergence, and Primal-dual Principles","version":1},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-08-07T23:41:20.385607Z"},"links":{"citing_paper":"/paper/2502.08835"},"observation_digest":"sha256:7b3030c10c4e45c9f2e8184a0743adc43e43920231111322f7a81c16ec8c1202","observation_id":"221ce05f-ed4d-4aab-86c3-2b851f2c6854","resolution":{"observed_at":"2026-08-07T23:41:20.824985Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-07T23:41:20.807856Z","title":"On approximations of the psd c one by a polynomial number of smaller-sized psd cones","venue":null,"work_id":"abb7079d-5efd-4686-9c97-d3ead188a144","year":2023},"citing_paper":{"arxiv_id":"2502.08835","last_updated":"2025-02-12T22:52:15Z","snapshot_observed_at":"2026-08-09T15:28:09.504732Z","submitted_at":"2025-02-12T22:52:15Z","title":"A Bundle-based Augmented Lagrangian Framework: Algorithm, Convergence, and Primal-dual Principles","version":1},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-08-07T23:41:20.389577Z"},"links":{"citing_paper":"/paper/2502.08835"},"observation_digest":"sha256:3f634233678fa771158ffdbfdc9b803864bc59c902ad2d543e2d23ac2b7b74b2","observation_id":"4d287192-9682-4f60-8c89-388bd0749ccb","resolution":{"observed_at":"2026-08-07T23:41:20.812463Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-07T23:41:20.393337Z","title":"Nonlinear optimization","venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2502.08835","last_updated":"2025-02-12T22:52:15Z","snapshot_observed_at":"2026-08-09T15:28:09.504732Z","submitted_at":"2025-02-12T22:52:15Z","title":"A Bundle-based Augmented Lagrangian Framework: Algorithm, Convergence, and Primal-dual Principles","version":1},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-08-07T23:41:20.393337Z"},"links":{"citing_paper":"/paper/2502.08835"},"observation_digest":"sha256:0f630547bdc830b01943105a5403f26a3b106ee8d8324191388cd5eb11c24c99","observation_id":"507ca458-091e-466b-9f0e-37a5c7efc58a","resolution":{"observed_at":"2026-08-07T23:41:20.393337Z","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":"2026-08-07T23:41:20.788530Z","title":"Error bounds, pl co ndition, and quadratic growth for weakly convex functions, and linear convergences of proximal poin t methods","venue":null,"work_id":"35d2ee72-60c5-4697-a23d-dc0b8f3a0a90","year":2024},"citing_paper":{"arxiv_id":"2502.08835","last_updated":"2025-02-12T22:52:15Z","snapshot_observed_at":"2026-08-09T15:28:09.504732Z","submitted_at":"2025-02-12T22:52:15Z","title":"A Bundle-based Augmented Lagrangian Framework: Algorithm, Convergence, and Primal-dual Principles","version":1},"reference_index":48,"source":"pdf_text","source_observed_at":"2026-08-07T23:41:20.397378Z"},"links":{"citing_paper":"/paper/2502.08835"},"observation_digest":"sha256:a794be2e0fe819d05ea106fd27ace5be7bf9fba902b03744af923db26b1b707b","observation_id":"26546f2f-126b-4e13-aa3b-973e1b912aa4","resolution":{"observed_at":"2026-08-07T23:41:20.792699Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-07T23:41:20.776704Z","title":"A spectral bundle method for semidefinite programming","venue":null,"work_id":"7ab9af02-5b49-4673-a637-e387f729f4e2","year":2000},"citing_paper":{"arxiv_id":"2502.08835","last_updated":"2025-02-12T22:52:15Z","snapshot_observed_at":"2026-08-09T15:28:09.504732Z","submitted_at":"2025-02-12T22:52:15Z","title":"A Bundle-based Augmented Lagrangian Framework: Algorithm, Convergence, and Primal-dual Principles","version":1},"reference_index":49,"source":"pdf_text","source_observed_at":"2026-08-07T23:41:20.401258Z"},"links":{"citing_paper":"/paper/2502.08835"},"observation_digest":"sha256:163e2323b98e7bada8138d5a32da0ac9dcbaf252cef181dc1f9211d8ba044dbe","observation_id":"387f87ed-680e-4dd8-ba89-f683e7bdbd9c","resolution":{"observed_at":"2026-08-07T23:41:20.780778Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-07T23:41:20.764517Z","title":"Quadratic growth conditio ns for convex matrix optimization problems associated with spectral functions","venue":null,"work_id":"a80385f0-0af4-4f26-8e70-a4be9ebe6377","year":2017},"citing_paper":{"arxiv_id":"2502.08835","last_updated":"2025-02-12T22:52:15Z","snapshot_observed_at":"2026-08-09T15:28:09.504732Z","submitted_at":"2025-02-12T22:52:15Z","title":"A Bundle-based Augmented Lagrangian Framework: Algorithm, Convergence, and Primal-dual Principles","version":1},"reference_index":50,"source":"pdf_text","source_observed_at":"2026-08-07T23:41:20.404943Z"},"links":{"citing_paper":"/paper/2502.08835"},"observation_digest":"sha256:d9924d8af0df30e3fcae4115cafe8e4b3bdd3d431dd3a52b8ed635b48a073c47","observation_id":"55716b90-174a-4a31-8ed9-e8c3bf1ca19e","resolution":{"observed_at":"2026-08-07T23:41:20.768815Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-07T23:41:20.753197Z","title":"Exact matrix completion via convex optimization","venue":null,"work_id":"071b01fd-9dfe-4891-9ac3-facc19f58b00","year":2012},"citing_paper":{"arxiv_id":"2502.08835","last_updated":"2025-02-12T22:52:15Z","snapshot_observed_at":"2026-08-09T15:28:09.504732Z","submitted_at":"2025-02-12T22:52:15Z","title":"A Bundle-based Augmented Lagrangian Framework: Algorithm, Convergence, and Primal-dual Principles","version":1},"reference_index":51,"source":"pdf_text","source_observed_at":"2026-08-07T23:41:20.408993Z"},"links":{"citing_paper":"/paper/2502.08835"},"observation_digest":"sha256:809c32705285b639c4a8f02538de000a8d55beb6c85d3251e63851ccd2623c13","observation_id":"5ac74308-b2ab-4dfc-b7b4-1069a5c233ed","resolution":{"observed_at":"2026-08-07T23:41:20.757182Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-07T23:41:20.740723Z","title":"Second-order cone progra mming","venue":null,"work_id":"21cafffe-3c98-4672-b01e-3470d5eeb6fe","year":2003},"citing_paper":{"arxiv_id":"2502.08835","last_updated":"2025-02-12T22:52:15Z","snapshot_observed_at":"2026-08-09T15:28:09.504732Z","submitted_at":"2025-02-12T22:52:15Z","title":"A Bundle-based Augmented Lagrangian Framework: Algorithm, Convergence, and Primal-dual Principles","version":1},"reference_index":52,"source":"pdf_text","source_observed_at":"2026-08-07T23:41:20.413193Z"},"links":{"citing_paper":"/paper/2502.08835"},"observation_digest":"sha256:06acae02475da78177c5ba48fd56db9264f1fe82d9dfeb59dfc94354a2bf9a90","observation_id":"aaf896ba-b736-42a2-96a3-50f9dc7926b6","resolution":{"observed_at":"2026-08-07T23:41:20.745036Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-07T23:41:20.416936Z","title":"Convex analysis , volume 11","venue":null,"work_id":null,"year":1997},"citing_paper":{"arxiv_id":"2502.08835","last_updated":"2025-02-12T22:52:15Z","snapshot_observed_at":"2026-08-09T15:28:09.504732Z","submitted_at":"2025-02-12T22:52:15Z","title":"A Bundle-based Augmented Lagrangian Framework: Algorithm, Convergence, and Primal-dual Principles","version":1},"reference_index":53,"source":"pdf_text","source_observed_at":"2026-08-07T23:41:20.416936Z"},"links":{"citing_paper":"/paper/2502.08835"},"observation_digest":"sha256:b49f6f87aa9dda1b0cf0a26ff5ae604de628e1003f802fd104e6f4daa59147da","observation_id":"c7d95143-b967-453d-9e49-6b843a886a4b","resolution":{"observed_at":"2026-08-07T23:41:20.416936Z","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":"2026-08-07T23:41:20.719831Z","title":"Gradient methods for minimizing composite functio ns","venue":null,"work_id":"7fd24bda-1908-4a1d-9e6a-165dbef4dde3","year":2013},"citing_paper":{"arxiv_id":"2502.08835","last_updated":"2025-02-12T22:52:15Z","snapshot_observed_at":"2026-08-09T15:28:09.504732Z","submitted_at":"2025-02-12T22:52:15Z","title":"A Bundle-based Augmented Lagrangian Framework: Algorithm, Convergence, and Primal-dual Principles","version":1},"reference_index":54,"source":"pdf_text","source_observed_at":"2026-08-07T23:41:20.420700Z"},"links":{"citing_paper":"/paper/2502.08835"},"observation_digest":"sha256:c083229bcc1d53700c85c69de239b1b55cb9c3efec412b86efead2e24bbf8631","observation_id":"7b971a79-4d74-4ead-ba72-29fcfa746f14","resolution":{"observed_at":"2026-08-07T23:41:20.725421Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-07T23:41:20.705610Z","title":"Revisiting frank-wolfe: Projection-free sparse convex optimization","venue":null,"work_id":"0206556b-82ed-47de-94d7-2965e1107230","year":2013},"citing_paper":{"arxiv_id":"2502.08835","last_updated":"2025-02-12T22:52:15Z","snapshot_observed_at":"2026-08-09T15:28:09.504732Z","submitted_at":"2025-02-12T22:52:15Z","title":"A Bundle-based Augmented Lagrangian Framework: Algorithm, Convergence, and Primal-dual Principles","version":1},"reference_index":55,"source":"pdf_text","source_observed_at":"2026-08-07T23:41:20.424779Z"},"links":{"citing_paper":"/paper/2502.08835"},"observation_digest":"sha256:b564a4b4117a8d07bc581f88ae77c3e624783f77a8fcff6fb779c24271d8d6e9","observation_id":"82cf6cda-c3fa-4794-92f8-0f8706c390f8","resolution":{"observed_at":"2026-08-07T23:41:20.710292Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-07T23:41:20.693112Z","title":"Spectr al frank-wolfe algorithm: Strict complementarity and linear convergence","venue":null,"work_id":"a3a3c075-f0e8-462d-964b-1e734df27a2f","year":null},"citing_paper":{"arxiv_id":"2502.08835","last_updated":"2025-02-12T22:52:15Z","snapshot_observed_at":"2026-08-09T15:28:09.504732Z","submitted_at":"2025-02-12T22:52:15Z","title":"A Bundle-based Augmented Lagrangian Framework: Algorithm, Convergence, and Primal-dual Principles","version":1},"reference_index":56,"source":"pdf_text","source_observed_at":"2026-08-07T23:41:20.428856Z"},"links":{"citing_paper":"/paper/2502.08835"},"observation_digest":"sha256:472c676681121dc57865c7c049c47475beaca844a556f44caa49e8996a2ad60e","observation_id":"96afaea3-d25b-449c-a5d4-c49870f76524","resolution":{"observed_at":"2026-08-07T23:41:20.697420Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1610.00875","last_updated":"2016-10-04T07:22:15Z","snapshot_observed_at":"2026-08-01T22:54:28.657426Z","submitted_at":"2016-10-04T07:22:15Z","title":"On the Asymptotic Superlinear Convergence of the Augmented Lagrangian Method for Semidefinite Programming with Multiple Solutions","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1610.00875","snapshot_observed_at":"2026-08-07T23:41:20.432817Z","title":"On the asymptotic sup erlinear convergence of the aug- mented Lagrangian method for semidefinite programming with multiple solutions","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2502.08835","last_updated":"2025-02-12T22:52:15Z","snapshot_observed_at":"2026-08-09T15:28:09.504732Z","submitted_at":"2025-02-12T22:52:15Z","title":"A Bundle-based Augmented Lagrangian Framework: Algorithm, Convergence, and Primal-dual Principles","version":1},"reference_index":57,"source":"pdf_text","source_observed_at":"2026-08-07T23:41:20.432817Z"},"links":{"cited_paper":"/paper/1610.00875","citing_paper":"/paper/2502.08835"},"observation_digest":"sha256:663d3bf58db6016e661d3755d90ae01296510089cdaa137ecaf6a75a8cd0e170","observation_id":"512c2b7b-663d-4aee-a39e-3ef7c710e479","resolution":{"observed_at":"2026-08-07T23:41:20.432817Z","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":"2026-08-07T23:41:20.680014Z","title":"The MOSEK optimization toolbox for MATLAB manual","venue":null,"work_id":"a8b928b0-dcf8-46c6-993a-fac800b8ffea","year":2019},"citing_paper":{"arxiv_id":"2502.08835","last_updated":"2025-02-12T22:52:15Z","snapshot_observed_at":"2026-08-09T15:28:09.504732Z","submitted_at":"2025-02-12T22:52:15Z","title":"A Bundle-based Augmented Lagrangian Framework: Algorithm, Convergence, and Primal-dual Principles","version":1},"reference_index":58,"source":"pdf_text","source_observed_at":"2026-08-07T23:41:20.437181Z"},"links":{"citing_paper":"/paper/2502.08835"},"observation_digest":"sha256:6d7ec5782fb4a70b7f13e40925e00ff7b0102888a58a1652be89a17b55944c38","observation_id":"b27abdcf-92d4-44a2-9443-be35beb95504","resolution":{"observed_at":"2026-08-07T23:41:20.684435Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-07T23:41:20.666845Z","title":"On the simplicity and conditioning of low rank semidefinite programs","venue":null,"work_id":"a6631e99-9815-4409-911f-516bd4b72f2c","year":2021},"citing_paper":{"arxiv_id":"2502.08835","last_updated":"2025-02-12T22:52:15Z","snapshot_observed_at":"2026-08-09T15:28:09.504732Z","submitted_at":"2025-02-12T22:52:15Z","title":"A Bundle-based Augmented Lagrangian Framework: Algorithm, Convergence, and Primal-dual Principles","version":1},"reference_index":59,"source":"pdf_text","source_observed_at":"2026-08-07T23:41:20.441272Z"},"links":{"citing_paper":"/paper/2502.08835"},"observation_digest":"sha256:92a9c2618bc8c6001ed755d7c1e23cc6733fce3f4faf705dd4b9247f6cc106ff","observation_id":"4e808e0f-18e1-4016-9b73-5cbb966c6dea","resolution":{"observed_at":"2026-08-07T23:41:20.671352Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-07T23:41:20.653433Z","title":"Global optimization with polynomials and the pro blem of moments","venue":null,"work_id":"5839b0f8-60ad-4f60-85fc-385a8b3b5f4e","year":2001},"citing_paper":{"arxiv_id":"2502.08835","last_updated":"2025-02-12T22:52:15Z","snapshot_observed_at":"2026-08-09T15:28:09.504732Z","submitted_at":"2025-02-12T22:52:15Z","title":"A Bundle-based Augmented Lagrangian Framework: Algorithm, Convergence, and Primal-dual Principles","version":1},"reference_index":60,"source":"pdf_text","source_observed_at":"2026-08-07T23:41:20.445384Z"},"links":{"citing_paper":"/paper/2502.08835"},"observation_digest":"sha256:26794226deb00435e7375d2bd0959b516c511fa0b4adb641d759507523ffc0a7","observation_id":"8a818ce5-89f5-4b3a-a9f8-5fa794768e3d","resolution":{"observed_at":"2026-08-07T23:41:20.657877Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-07T23:41:20.640046Z","title":"In particular, as we will see in ( B.1), it holds that − min x∈ Ω k Lρ(x, yk) = min y∈ Rm gk(y) + 1 2ρ ‖y − yk‖2","venue":null,"work_id":"5bbf77e3-f796-4af1-b48b-0832f93e4568","year":null},"citing_paper":{"arxiv_id":"2502.08835","last_updated":"2025-02-12T22:52:15Z","snapshot_observed_at":"2026-08-09T15:28:09.504732Z","submitted_at":"2025-02-12T22:52:15Z","title":"A Bundle-based Augmented Lagrangian Framework: Algorithm, Convergence, and Primal-dual Principles","version":1},"reference_index":61,"source":"pdf_text","source_observed_at":"2026-08-07T23:41:20.449760Z"},"links":{"citing_paper":"/paper/2502.08835"},"observation_digest":"sha256:8569c5a44ad9f063ae0bbdce9e2e48ac69d12fb19c505627a5ef0bd7a49e111b","observation_id":"d451c543-4c3b-40bc-8747-f86a9802f3d0","resolution":{"observed_at":"2026-08-07T23:41:20.644517Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-07T23:41:20.626816Z","title":"Finally, our bundle -based Augmented Lagrangian framework also complements the viewpoints of interior-point and penalty m ethods [1, Chapter 11] in addressing Ω","venue":null,"work_id":"c0e019f2-0efa-4537-87ae-43f0192c3edc","year":null},"citing_paper":{"arxiv_id":"2502.08835","last_updated":"2025-02-12T22:52:15Z","snapshot_observed_at":"2026-08-09T15:28:09.504732Z","submitted_at":"2025-02-12T22:52:15Z","title":"A Bundle-based Augmented Lagrangian Framework: Algorithm, Convergence, and Primal-dual Principles","version":1},"reference_index":62,"source":"pdf_text","source_observed_at":"2026-08-07T23:41:20.454074Z"},"links":{"citing_paper":"/paper/2502.08835"},"observation_digest":"sha256:dc1952a6dadeb05de1f2fb3f0ae53ac05432a5936b0acc3ac6abe8ffd61b4cea","observation_id":"2cb58e1b-e6d6-4412-99cc-4d5998588a0d","resolution":{"observed_at":"2026-08-07T23:41:20.631398Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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":"2026-08-07T23:41:20.610824Z","title":"The convex hull app roximation with three points always contains the line approximation","venue":null,"work_id":"84073138-ad80-4f21-b3ed-2e82e94202ac","year":null},"citing_paper":{"arxiv_id":"2502.08835","last_updated":"2025-02-12T22:52:15Z","snapshot_observed_at":"2026-08-09T15:28:09.504732Z","submitted_at":"2025-02-12T22:52:15Z","title":"A Bundle-based Augmented Lagrangian Framework: Algorithm, Convergence, and Primal-dual Principles","version":1},"reference_index":63,"source":"pdf_text","source_observed_at":"2026-08-07T23:41:20.458707Z"},"links":{"citing_paper":"/paper/2502.08835"},"observation_digest":"sha256:07032b3ee496fcae1fb47c30ad06ac11a299f8a83970dafae7e54ab01918a104","observation_id":"4d72b7ca-f843-44ac-a91c-d82ac917fae5","resolution":{"observed_at":"2026-08-07T23:41:20.617797Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2502.08835","last_updated":"2025-02-12T22:52:15Z","latest_version":1,"primary_category":"math.OC","snapshot_observed_at":"2026-08-09T15:28:09.504732Z","submitted_at":"2025-02-12T22:52:15Z","title":"A Bundle-based Augmented Lagrangian Framework: Algorithm, Convergence, and Primal-dual Principles"},"reference_resolution":{"displayed":63,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":7,"verified_exact":0,"verified_fuzzy":56},"total_outbound_references":63},"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":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"thesis":"As of 9 August 2026, this Paper Citation Record lists 63 of 63 outbound references and 2 inbound Pith citation observations for arXiv:2502.08835."}