{"as_of":"2026-08-20T12:17:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:4dd17d6b52d31f892b0f83a5f1e53a81d78e034b5b2d799bd270df03d248c7f0","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":"2026-08-14T10:32:55.686817Z","state":"measured"},{"denominator":67,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":67,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-20T06:33:59.587034+00:00","state":"measured"},{"denominator":4,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":4,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-15T15:48:38.169144Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"pith","source_observed_at":"2026-08-10T23:31:12.599884Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"1908.11133","last_updated":"2020-09-29T15:22:58Z","snapshot_observed_at":"2026-08-20T07:56:26.758436Z","submitted_at":"2019-08-29T10:01:20Z","title":"On the rate of convergence of fully connected very deep neural network regression estimates","version":5},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1908.11133","snapshot_observed_at":"2026-08-14T10:38:30.827733Z","title":"and Krzyżak, A","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"1908.11140","last_updated":"2020-06-15T12:10:43Z","snapshot_observed_at":"2026-08-20T07:59:31.050627Z","submitted_at":"2019-08-29T10:24:10Z","title":"Estimation of a function of low local dimensionality by deep neural networks","version":3},"reference_index":208,"source":"pdf_text","source_observed_at":"2026-08-14T10:38:30.827733Z"},"links":{"cited_paper":"/paper/1908.11133","citing_paper":"/paper/1908.11140"},"observation_digest":"sha256:a8ea1cae1f0115297c2a85c9a4823a124c6961e542f48960ed7845407faf20c4","observation_id":"66fe868b-edfc-4d3f-8252-0b8151ce1c40","resolution":{"observed_at":"2026-08-14T10:38:30.827733Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1908.11133","last_updated":"2020-09-29T15:22:58Z","snapshot_observed_at":"2026-08-20T07:56:26.758436Z","submitted_at":"2019-08-29T10:01:20Z","title":"On the rate of convergence of fully connected very deep neural network regression estimates","version":5},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1908.11133","snapshot_observed_at":"2026-08-12T20:14:56.524069Z","title":"On the rate of convergence of fully connected very deep neural network regression estimates","venue":null,"work_id":null,"year":1908},"citing_paper":{"arxiv_id":"2411.09961","last_updated":"2025-06-10T03:53:00Z","snapshot_observed_at":"2026-08-20T07:56:58.637461Z","submitted_at":"2024-11-15T05:30:36Z","title":"Dense ReLU Neural Networks for Temporal-spatial Model","version":8},"reference_index":23,"source":"arxiv_source","source_observed_at":"2026-08-12T20:14:56.524069Z"},"links":{"cited_paper":"/paper/1908.11133","citing_paper":"/paper/2411.09961"},"observation_digest":"sha256:c0937b2d60eec303cfb40715c6fd15cfacbf9125c0bbdf2ca4017798561da8f3","observation_id":"bc14ff97-943d-4b08-8506-8496037d13ac","resolution":{"observed_at":"2026-08-12T20:14:56.524069Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1908.11133","last_updated":"2020-09-29T15:22:58Z","snapshot_observed_at":"2026-08-20T07:56:26.758436Z","submitted_at":"2019-08-29T10:01:20Z","title":"On the rate of convergence of fully connected very deep neural network regression estimates","version":5},"cited_work":{"arxiv_id":"1908.11133","doi":null,"metadata_source":"pith","pith_arxiv_id":"1908.11133","snapshot_observed_at":"2026-08-10T23:31:12.599884Z","title":"On the rate of convergence of fully connected very deep neural network regression estimates","venue":"stat.ML","work_id":"bfdaa81d-f3a2-4eee-a660-e8474e65cc04","year":2019},"citing_paper":{"arxiv_id":"2412.20355","last_updated":"2025-01-01T01:06:42Z","snapshot_observed_at":"2026-08-20T01:39:57.975728Z","submitted_at":"2024-12-29T05:17:58Z","title":"Confidence Interval Construction and Conditional Variance Estimation with Dense ReLU Networks","version":2},"reference_index":33,"source":"arxiv_source","source_observed_at":"2026-08-10T23:31:12.434149Z"},"links":{"cited_paper":"/paper/1908.11133","citing_paper":"/paper/2412.20355"},"observation_digest":"sha256:410f5daba66e3548bec590d250cf1bb865f527d7a6dfd6e830b63c4e90bd85ae","observation_id":"cb2edea0-cc2c-49f4-bab0-d542fbd4b47a","resolution":{"observed_at":"2026-08-10T23:31:12.604241Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1908.11133","last_updated":"2020-09-29T15:22:58Z","snapshot_observed_at":"2026-08-20T07:56:26.758436Z","submitted_at":"2019-08-29T10:01:20Z","title":"On the rate of convergence of fully connected very deep neural network regression estimates","version":5},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1908.11133","snapshot_observed_at":"2026-08-15T15:48:38.169144Z","title":"On the rate of convergence of fully connected very deep neural network regression estimates","venue":null,"work_id":null,"year":1908},"citing_paper":{"arxiv_id":"2509.25507","last_updated":"2026-05-24T17:48:33Z","snapshot_observed_at":"2026-08-20T07:55:59.904511Z","submitted_at":"2025-09-29T21:04:50Z","title":"One-shot Conditional Sampling: MMD meets Nearest Neighbors","version":2},"reference_index":51,"source":"arxiv_source","source_observed_at":"2026-08-15T15:48:38.169144Z"},"links":{"cited_paper":"/paper/1908.11133","citing_paper":"/paper/2509.25507"},"observation_digest":"sha256:ab639bf133dea287ad5752235cf872fd29bddbd50331255811a3c912e34300a8","observation_id":"b1d6d413-9906-464a-8aa3-dc1a76abc36c","resolution":{"observed_at":"2026-08-15T15:48:38.169144Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/1908.11133/citation-record","integrity":"/paper/1908.11133/integrity","json":"/paper/1908.11133/citation-record.json","paper":"/paper/1908.11133"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T10:32:56.336454Z","title":"Anthony and P","venue":null,"work_id":"805427cd-dc0b-48ca-b0a0-0620500c86be","year":2009},"citing_paper":{"arxiv_id":"1908.11133","last_updated":"2020-09-29T15:22:58Z","snapshot_observed_at":"2026-08-20T07:56:26.758436Z","submitted_at":"2019-08-29T10:01:20Z","title":"On the rate of convergence of fully connected very deep neural network regression estimates","version":5},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-14T10:32:55.468682Z"},"links":{"citing_paper":"/paper/1908.11133"},"observation_digest":"sha256:c165023a7028ee20c0df53fda52ed722870cc0e192c68ea6d50e3fa8a27bb60e","observation_id":"09ae38c9-6671-48f0-8c58-e5e529f39abc","resolution":{"observed_at":"2026-08-14T10:32:56.340133Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-14T10:32:56.326918Z","title":null,"venue":null,"work_id":"9ecb026a-e526-401f-8045-274866001c64","year":2009},"citing_paper":{"arxiv_id":"1908.11133","last_updated":"2020-09-29T15:22:58Z","snapshot_observed_at":"2026-08-20T07:56:26.758436Z","submitted_at":"2019-08-29T10:01:20Z","title":"On the rate of convergence of fully connected very deep neural network regression estimates","version":5},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-14T10:32:55.472697Z"},"links":{"citing_paper":"/paper/1908.11133"},"observation_digest":"sha256:e89b314273bdda2d3db0b6dd5c275c54dc7be6fb6251d86e3583923a15d297cc","observation_id":"bae97b1d-f613-4d71-a88a-4b05a9c2c5f3","resolution":{"observed_at":"2026-08-14T10:32:56.330367Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-14T10:32:56.316607Z","title":null,"venue":null,"work_id":"a3903309-73b8-4a9e-8386-ecf4690880bf","year":1993},"citing_paper":{"arxiv_id":"1908.11133","last_updated":"2020-09-29T15:22:58Z","snapshot_observed_at":"2026-08-20T07:56:26.758436Z","submitted_at":"2019-08-29T10:01:20Z","title":"On the rate of convergence of fully connected very deep neural network regression estimates","version":5},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-14T10:32:55.475915Z"},"links":{"citing_paper":"/paper/1908.11133"},"observation_digest":"sha256:c59e538c075e433f9e2af3ca1593b74947b76b5cca0848628e516ef72592ec00","observation_id":"122ad8f7-e7a8-4de3-9fa6-0598ecc407f7","resolution":{"observed_at":"2026-08-14T10:32:56.320090Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-14T10:32:56.307466Z","title":null,"venue":null,"work_id":"5fdb9808-e60b-49d6-8f0a-88dc9f9cb097","year":1991},"citing_paper":{"arxiv_id":"1908.11133","last_updated":"2020-09-29T15:22:58Z","snapshot_observed_at":"2026-08-20T07:56:26.758436Z","submitted_at":"2019-08-29T10:01:20Z","title":"On the rate of convergence of fully connected very deep neural network regression estimates","version":5},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-14T10:32:55.479596Z"},"links":{"citing_paper":"/paper/1908.11133"},"observation_digest":"sha256:d148b21b0f6b083e33329a2f21c9b637e7e4948b3fd84a71c569d30c8c6f273c","observation_id":"7d946090-c54b-4ff9-9dd1-3b36acab5931","resolution":{"observed_at":"2026-08-14T10:32:56.310639Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-14T10:32:56.298077Z","title":null,"venue":null,"work_id":"89530d6b-2a2d-4a8e-919a-48c50841378f","year":1994},"citing_paper":{"arxiv_id":"1908.11133","last_updated":"2020-09-29T15:22:58Z","snapshot_observed_at":"2026-08-20T07:56:26.758436Z","submitted_at":"2019-08-29T10:01:20Z","title":"On the rate of convergence of fully connected very deep neural network regression estimates","version":5},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-14T10:32:55.483054Z"},"links":{"citing_paper":"/paper/1908.11133"},"observation_digest":"sha256:b72148fd0f6f6c42d03b1ae64b0768409d96093c2e67164418c74074e97e589a","observation_id":"00e79d5e-50ae-4b6d-ab0b-962b1d69eaa9","resolution":{"observed_at":"2026-08-14T10:32:56.301432Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-14T10:32:56.288079Z","title":null,"venue":null,"work_id":"193ecb8d-e06f-4887-8974-1ce5e8cddc49","year":2019},"citing_paper":{"arxiv_id":"1908.11133","last_updated":"2020-09-29T15:22:58Z","snapshot_observed_at":"2026-08-20T07:56:26.758436Z","submitted_at":"2019-08-29T10:01:20Z","title":"On the rate of convergence of fully connected very deep neural network regression estimates","version":5},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-14T10:32:55.486566Z"},"links":{"citing_paper":"/paper/1908.11133"},"observation_digest":"sha256:541acc66675e8fe2d4de632c0d2595915b03b786b00e123edc460e1b3372091c","observation_id":"f15b1531-d696-431a-8e75-87d21e80c73f","resolution":{"observed_at":"2026-08-14T10:32:56.291725Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-14T10:32:56.277697Z","title":"Bauer and M","venue":null,"work_id":"faa9a966-36cc-461d-8951-eff2a2bf3dc7","year":2019},"citing_paper":{"arxiv_id":"1908.11133","last_updated":"2020-09-29T15:22:58Z","snapshot_observed_at":"2026-08-20T07:56:26.758436Z","submitted_at":"2019-08-29T10:01:20Z","title":"On the rate of convergence of fully connected very deep neural network regression estimates","version":5},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-14T10:32:55.490392Z"},"links":{"citing_paper":"/paper/1908.11133"},"observation_digest":"sha256:dc1dad7e994f34f698b45f7edec9219d885cefbb774f84a4cfee99f87b3af9fb","observation_id":"4aef19aa-bc8a-4b93-a105-67c622cc0923","resolution":{"observed_at":"2026-08-14T10:32:56.281068Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-14T10:32:56.268053Z","title":"Devroye, L","venue":null,"work_id":"2e563377-f508-4e54-adfb-58f6881042b4","year":1996},"citing_paper":{"arxiv_id":"1908.11133","last_updated":"2020-09-29T15:22:58Z","snapshot_observed_at":"2026-08-20T07:56:26.758436Z","submitted_at":"2019-08-29T10:01:20Z","title":"On the rate of convergence of fully connected very deep neural network regression estimates","version":5},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-14T10:32:55.493725Z"},"links":{"citing_paper":"/paper/1908.11133"},"observation_digest":"sha256:9fefbcc530225663e6b98836e93df767b3b11dd769e2b5ee3b105b2699584c80","observation_id":"889f3d8f-4494-4456-ba73-b7b0bb129614","resolution":{"observed_at":"2026-08-14T10:32:56.271520Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-14T10:32:56.257511Z","title":null,"venue":null,"work_id":"632b7375-a02c-43d4-8fc6-2efbf90dc04d","year":1980},"citing_paper":{"arxiv_id":"1908.11133","last_updated":"2020-09-29T15:22:58Z","snapshot_observed_at":"2026-08-20T07:56:26.758436Z","submitted_at":"2019-08-29T10:01:20Z","title":"On the rate of convergence of fully connected very deep neural network regression estimates","version":5},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-14T10:32:55.496920Z"},"links":{"citing_paper":"/paper/1908.11133"},"observation_digest":"sha256:ef8073f64884faf70077f149c4da2b2e303695a1285aa50cfbaa8a36485ee041","observation_id":"211c4986-b297-4ab2-a7a7-28f20251604f","resolution":{"observed_at":"2026-08-14T10:32:56.261414Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-14T10:32:56.247796Z","title":"Eldan and O","venue":null,"work_id":"5d88fc5f-5cd7-4d68-830c-5d59b622bb04","year":2016},"citing_paper":{"arxiv_id":"1908.11133","last_updated":"2020-09-29T15:22:58Z","snapshot_observed_at":"2026-08-20T07:56:26.758436Z","submitted_at":"2019-08-29T10:01:20Z","title":"On the rate of convergence of fully connected very deep neural network regression estimates","version":5},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-14T10:32:55.500227Z"},"links":{"citing_paper":"/paper/1908.11133"},"observation_digest":"sha256:94288812a0130b127074681dc7f14f50a0649d6ceca96d1d3b316569201baeb2","observation_id":"757ecf79-44f1-4c7a-9c50-74be90f426e7","resolution":{"observed_at":"2026-08-14T10:32:56.251155Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1906.10732","last_updated":"2020-10-07T17:38:07Z","snapshot_observed_at":"2026-08-14T16:11:32.874751Z","submitted_at":"2019-06-25T19:21:15Z","title":"The Difficulty of Training Sparse Neural Networks","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1906.10732","snapshot_observed_at":"2026-08-14T10:32:55.503568Z","title":null,"venue":null,"work_id":null,"year":1906},"citing_paper":{"arxiv_id":"1908.11133","last_updated":"2020-09-29T15:22:58Z","snapshot_observed_at":"2026-08-20T07:56:26.758436Z","submitted_at":"2019-08-29T10:01:20Z","title":"On the rate of convergence of fully connected very deep neural network regression estimates","version":5},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-14T10:32:55.503568Z"},"links":{"cited_paper":"/paper/1906.10732","citing_paper":"/paper/1908.11133"},"observation_digest":"sha256:e07ba58c731b629a66da3acbb02390d4fe2f87b865c3195dedf98e2ae8e7b510","observation_id":"55c7f893-fa33-4ddb-9aab-d2f6a6b6f99f","resolution":{"observed_at":"2026-08-14T10:32:55.503568Z","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":"2026-08-14T10:32:56.238153Z","title":null,"venue":null,"work_id":"a343a224-a1c8-4554-982d-dc26ed994ab4","year":1981},"citing_paper":{"arxiv_id":"1908.11133","last_updated":"2020-09-29T15:22:58Z","snapshot_observed_at":"2026-08-20T07:56:26.758436Z","submitted_at":"2019-08-29T10:01:20Z","title":"On the rate of convergence of fully connected very deep neural network regression estimates","version":5},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-14T10:32:55.507549Z"},"links":{"citing_paper":"/paper/1908.11133"},"observation_digest":"sha256:4b2287f23efd010ea5ee4ee954da0e5297bb71b232c7c8908f67601340961be8","observation_id":"45cfd3ce-bed6-4b11-a632-06cd97ab941c","resolution":{"observed_at":"2026-08-14T10:32:56.241623Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-14T10:32:56.228824Z","title":"Grohs, D","venue":null,"work_id":"e73497e4-2c45-47d6-9590-1adf46ed6b80","year":2019},"citing_paper":{"arxiv_id":"1908.11133","last_updated":"2020-09-29T15:22:58Z","snapshot_observed_at":"2026-08-20T07:56:26.758436Z","submitted_at":"2019-08-29T10:01:20Z","title":"On the rate of convergence of fully connected very deep neural network regression estimates","version":5},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-14T10:32:55.510783Z"},"links":{"citing_paper":"/paper/1908.11133"},"observation_digest":"sha256:e097a5f6962b34e9556669e6c4fcc3008e2f2023b4729118e022eb504463b77d","observation_id":"459a13c5-32db-414e-8273-8bf2539790b2","resolution":{"observed_at":"2026-08-14T10:32:56.232063Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-14T10:32:56.219666Z","title":"Györﬁ, M","venue":null,"work_id":"ba7ac9e1-5147-4382-993a-04f5eb6581f4","year":2002},"citing_paper":{"arxiv_id":"1908.11133","last_updated":"2020-09-29T15:22:58Z","snapshot_observed_at":"2026-08-20T07:56:26.758436Z","submitted_at":"2019-08-29T10:01:20Z","title":"On the rate of convergence of fully connected very deep neural network regression estimates","version":5},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-14T10:32:55.513920Z"},"links":{"citing_paper":"/paper/1908.11133"},"observation_digest":"sha256:63f77fa4b015c52857d3a413ae2e40920aa552b9ca7d14433f0bd46a5d311d60","observation_id":"dd6c7c05-67f8-495b-90e4-e0831b89b525","resolution":{"observed_at":"2026-08-14T10:32:56.222869Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-14T10:32:56.209787Z","title":"Härdle, P","venue":null,"work_id":"a10f2565-5a21-4182-a061-f93212dd4951","year":1993},"citing_paper":{"arxiv_id":"1908.11133","last_updated":"2020-09-29T15:22:58Z","snapshot_observed_at":"2026-08-20T07:56:26.758436Z","submitted_at":"2019-08-29T10:01:20Z","title":"On the rate of convergence of fully connected very deep neural network regression estimates","version":5},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-14T10:32:55.516938Z"},"links":{"citing_paper":"/paper/1908.11133"},"observation_digest":"sha256:0b35034f5e24aa067084e9a3cdfe4d84becc438527293885e0c5161b2dc0a47a","observation_id":"233aaef1-9477-4e06-9efa-f1afa190704f","resolution":{"observed_at":"2026-08-14T10:32:56.213121Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-14T10:32:56.200011Z","title":"Härdle and T","venue":null,"work_id":"8d69c436-49d0-4c4d-9e89-fca061d9809f","year":1989},"citing_paper":{"arxiv_id":"1908.11133","last_updated":"2020-09-29T15:22:58Z","snapshot_observed_at":"2026-08-20T07:56:26.758436Z","submitted_at":"2019-08-29T10:01:20Z","title":"On the rate of convergence of fully connected very deep neural network regression estimates","version":5},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-14T10:32:55.520164Z"},"links":{"citing_paper":"/paper/1908.11133"},"observation_digest":"sha256:45b3a6c1bac7a56e05405e1fcd22ceb04aa7bc8ea4c3d1ac7bcf8df81c6650e2","observation_id":"f97f92c5-a20e-47fa-9409-a760bd3c2bbb","resolution":{"observed_at":"2026-08-14T10:32:56.203390Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-14T10:32:56.190376Z","title":null,"venue":null,"work_id":"257e0283-5abd-410e-9221-e261374571db","year":1998},"citing_paper":{"arxiv_id":"1908.11133","last_updated":"2020-09-29T15:22:58Z","snapshot_observed_at":"2026-08-20T07:56:26.758436Z","submitted_at":"2019-08-29T10:01:20Z","title":"On the rate of convergence of fully connected very deep neural network regression estimates","version":5},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-14T10:32:55.523383Z"},"links":{"citing_paper":"/paper/1908.11133"},"observation_digest":"sha256:e1c1b02a1379510fc050dcebdd810516d45ba49355b6aaa0e50ca3a121954516","observation_id":"5b81131d-f168-4820-baeb-c00953d6bdd3","resolution":{"observed_at":"2026-08-14T10:32:56.193863Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-14T10:32:56.180102Z","title":"Hertz, R","venue":null,"work_id":"b5f73946-f678-4528-804f-f43dbf25bb28","year":1991},"citing_paper":{"arxiv_id":"1908.11133","last_updated":"2020-09-29T15:22:58Z","snapshot_observed_at":"2026-08-20T07:56:26.758436Z","submitted_at":"2019-08-29T10:01:20Z","title":"On the rate of convergence of fully connected very deep neural network regression estimates","version":5},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-14T10:32:55.526564Z"},"links":{"citing_paper":"/paper/1908.11133"},"observation_digest":"sha256:49be5e4761d7570d02e6bf2468b17270cb5228714a0c4a200ad0ebb1024348b7","observation_id":"79c9289e-f98b-43b2-bd69-ffe6d7165eed","resolution":{"observed_at":"2026-08-14T10:32:56.183468Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-14T10:32:56.170988Z","title":null,"venue":null,"work_id":"a9969590-4977-4752-8131-3ebafdf46bb5","year":2007},"citing_paper":{"arxiv_id":"1908.11133","last_updated":"2020-09-29T15:22:58Z","snapshot_observed_at":"2026-08-20T07:56:26.758436Z","submitted_at":"2019-08-29T10:01:20Z","title":"On the rate of convergence of fully connected very deep neural network regression estimates","version":5},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-14T10:32:55.529666Z"},"links":{"citing_paper":"/paper/1908.11133"},"observation_digest":"sha256:12816170aaf9f22e2e8502060836879ea71680d75fbf60c5efc4f17cb16a1bc6","observation_id":"77f4bed5-8886-4e27-9fe5-3ac4a9ab6fc9","resolution":{"observed_at":"2026-08-14T10:32:56.174193Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-14T10:32:56.161105Z","title":"Imaizumi and K","venue":null,"work_id":"6ca86a1b-e2e1-4d0f-ab07-0babffaa22fe","year":2019},"citing_paper":{"arxiv_id":"1908.11133","last_updated":"2020-09-29T15:22:58Z","snapshot_observed_at":"2026-08-20T07:56:26.758436Z","submitted_at":"2019-08-29T10:01:20Z","title":"On the rate of convergence of fully connected very deep neural network regression estimates","version":5},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-14T10:32:55.533269Z"},"links":{"citing_paper":"/paper/1908.11133"},"observation_digest":"sha256:7348df11c1990fb70beaffce70466cc52f05ce28f34c9b216113777d448bd811","observation_id":"79224426-4afd-4994-a7af-9c4c1ea9ad16","resolution":{"observed_at":"2026-08-14T10:32:56.164742Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-14T10:32:56.151516Z","title":null,"venue":null,"work_id":"d6dfb631-0738-4faa-9aac-83470168080d","year":2014},"citing_paper":{"arxiv_id":"1908.11133","last_updated":"2020-09-29T15:22:58Z","snapshot_observed_at":"2026-08-20T07:56:26.758436Z","submitted_at":"2019-08-29T10:01:20Z","title":"On the rate of convergence of fully connected very deep neural network regression estimates","version":5},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-14T10:32:55.536911Z"},"links":{"citing_paper":"/paper/1908.11133"},"observation_digest":"sha256:7549a0fef81a0adfaa71ea68bae11b27be76336ba78efdd6bd284182b06e46b8","observation_id":"5498d5b0-0429-406f-829a-281c76b26df0","resolution":{"observed_at":"2026-08-14T10:32:56.154719Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-14T10:32:56.142020Z","title":"Kohler and A","venue":null,"work_id":"f679ce7a-27ab-4be1-ad6e-3557a94cf015","year":2005},"citing_paper":{"arxiv_id":"1908.11133","last_updated":"2020-09-29T15:22:58Z","snapshot_observed_at":"2026-08-20T07:56:26.758436Z","submitted_at":"2019-08-29T10:01:20Z","title":"On the rate of convergence of fully connected very deep neural network regression estimates","version":5},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-14T10:32:55.540147Z"},"links":{"citing_paper":"/paper/1908.11133"},"observation_digest":"sha256:79d8b961a8703c5f3494a5275e3333d2c73680ffa624009e18e2d58407ed8322","observation_id":"c4c42b83-3962-427c-b32a-21ef99464d7d","resolution":{"observed_at":"2026-08-14T10:32:56.145417Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-14T10:32:56.132176Z","title":"Kohler and A","venue":null,"work_id":"dd8bcc1d-dc9c-41ce-997e-96d4deb6b8a0","year":2017},"citing_paper":{"arxiv_id":"1908.11133","last_updated":"2020-09-29T15:22:58Z","snapshot_observed_at":"2026-08-20T07:56:26.758436Z","submitted_at":"2019-08-29T10:01:20Z","title":"On the rate of convergence of fully connected very deep neural network regression estimates","version":5},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-14T10:32:55.544211Z"},"links":{"citing_paper":"/paper/1908.11133"},"observation_digest":"sha256:f080e92bbdeb4a8855533b85fc289051296083e60b43f96647732634241d350b","observation_id":"5f0eb78d-34e7-4280-a698-d6431caf4d46","resolution":{"observed_at":"2026-08-14T10:32:56.135645Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-14T10:32:56.122553Z","title":"Kong and Y","venue":null,"work_id":"afe2708a-6184-4c6d-aa78-e7d5c443c05b","year":2007},"citing_paper":{"arxiv_id":"1908.11133","last_updated":"2020-09-29T15:22:58Z","snapshot_observed_at":"2026-08-20T07:56:26.758436Z","submitted_at":"2019-08-29T10:01:20Z","title":"On the rate of convergence of fully connected very deep neural network regression estimates","version":5},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-14T10:32:55.547711Z"},"links":{"citing_paper":"/paper/1908.11133"},"observation_digest":"sha256:8f7478c00e95c7c1a11d4fd6e419a100129055c877d0f01767fe2d0f04f919eb","observation_id":"0355a2c5-a3fe-4869-ae89-b66db1c9ec23","resolution":{"observed_at":"2026-08-14T10:32:56.126086Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1810.05270","last_updated":"2019-03-05T05:58:11Z","snapshot_observed_at":"2026-08-14T18:15:55.919265Z","submitted_at":"2018-10-11T22:15:28Z","title":"Rethinking the Value of Network Pruning","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1810.05270","snapshot_observed_at":"2026-08-14T10:32:55.550861Z","title":null,"venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"1908.11133","last_updated":"2020-09-29T15:22:58Z","snapshot_observed_at":"2026-08-20T07:56:26.758436Z","submitted_at":"2019-08-29T10:01:20Z","title":"On the rate of convergence of fully connected very deep neural network regression estimates","version":5},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-14T10:32:55.550861Z"},"links":{"cited_paper":"/paper/1810.05270","citing_paper":"/paper/1908.11133"},"observation_digest":"sha256:16880c1e0271ae27a46ff98fc16ad1a569a6e18e6ffb7d1512ad508fa3e75c69","observation_id":"a3e0b3c0-ce7f-4a42-86c0-8df1ae001878","resolution":{"observed_at":"2026-08-14T10:32:55.550861Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2001.03040","last_updated":"2021-09-24T13:11:12Z","snapshot_observed_at":"2026-08-04T06:15:01.505476Z","submitted_at":"2020-01-09T15:06:10Z","title":"Deep Network Approximation for Smooth Functions","version":8},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2001.03040","snapshot_observed_at":"2026-08-14T10:32:55.554407Z","title":null,"venue":null,"work_id":null,"year":2001},"citing_paper":{"arxiv_id":"1908.11133","last_updated":"2020-09-29T15:22:58Z","snapshot_observed_at":"2026-08-20T07:56:26.758436Z","submitted_at":"2019-08-29T10:01:20Z","title":"On the rate of convergence of fully connected very deep neural network regression estimates","version":5},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-14T10:32:55.554407Z"},"links":{"cited_paper":"/paper/2001.03040","citing_paper":"/paper/1908.11133"},"observation_digest":"sha256:b855b584bb01180d1a0904a96a3c8afe68aee06bcba45c230f7958238d8ed4c4","observation_id":"441f7e48-73aa-4857-af6f-4fc2a59abc5f","resolution":{"observed_at":"2026-08-14T10:32:55.554407Z","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":"2026-08-14T10:32:56.112774Z","title":null,"venue":null,"work_id":"933e56a7-1699-4753-a145-2b20e83498ba","year":1994},"citing_paper":{"arxiv_id":"1908.11133","last_updated":"2020-09-29T15:22:58Z","snapshot_observed_at":"2026-08-20T07:56:26.758436Z","submitted_at":"2019-08-29T10:01:20Z","title":"On the rate of convergence of fully connected very deep neural network regression estimates","version":5},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-14T10:32:55.557845Z"},"links":{"citing_paper":"/paper/1908.11133"},"observation_digest":"sha256:aacea2aca31a2e3c029c076e4a208ac17888da8fb6838a6ef0a42067c2bbd31f","observation_id":"923ad3c7-020d-41b2-8e84-f3b469be46ae","resolution":{"observed_at":"2026-08-14T10:32:56.116194Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-14T10:32:56.103064Z","title":"Mhaskar and T","venue":null,"work_id":"e41d0564-d906-4a3d-ade2-9f694d034f0b","year":2016},"citing_paper":{"arxiv_id":"1908.11133","last_updated":"2020-09-29T15:22:58Z","snapshot_observed_at":"2026-08-20T07:56:26.758436Z","submitted_at":"2019-08-29T10:01:20Z","title":"On the rate of convergence of fully connected very deep neural network regression estimates","version":5},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-14T10:32:55.561316Z"},"links":{"citing_paper":"/paper/1908.11133"},"observation_digest":"sha256:589413cb2b7d294d7f6439610c7513186e3714401c9474ca1b709e55f664b551","observation_id":"339453fc-f9f0-4883-88d0-a58a4cacd791","resolution":{"observed_at":"2026-08-14T10:32:56.106435Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-14T10:32:56.093227Z","title":"Ohn and Y","venue":null,"work_id":"83bb7ca3-bfb7-4c70-90fb-231863ca8de9","year":2019},"citing_paper":{"arxiv_id":"1908.11133","last_updated":"2020-09-29T15:22:58Z","snapshot_observed_at":"2026-08-20T07:56:26.758436Z","submitted_at":"2019-08-29T10:01:20Z","title":"On the rate of convergence of fully connected very deep neural network regression estimates","version":5},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-14T10:32:55.564836Z"},"links":{"citing_paper":"/paper/1908.11133"},"observation_digest":"sha256:78545db609c91ca7a6a2353d6123f28e2c997ca6110b669bc5c73e854f427eee","observation_id":"9addd914-974e-4c7a-a2c7-6717a1cf34ce","resolution":{"observed_at":"2026-08-14T10:32:56.096507Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-14T10:32:56.083211Z","title":"Oono and T","venue":null,"work_id":"75a5b9ea-e2d3-4cd1-b2dd-002064aa90e0","year":2019},"citing_paper":{"arxiv_id":"1908.11133","last_updated":"2020-09-29T15:22:58Z","snapshot_observed_at":"2026-08-20T07:56:26.758436Z","submitted_at":"2019-08-29T10:01:20Z","title":"On the rate of convergence of fully connected very deep neural network regression estimates","version":5},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-14T10:32:55.568549Z"},"links":{"citing_paper":"/paper/1908.11133"},"observation_digest":"sha256:79b193633cc93d55e223a042be0fa95df7d188c1f5f2bdb88038de9dd0971cf8","observation_id":"26ed238a-ef75-4d0c-ac5c-5f4b0f6b1425","resolution":{"observed_at":"2026-08-14T10:32:56.086951Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-14T10:32:56.073442Z","title":null,"venue":null,"work_id":"b7be55c1-4636-4991-9976-a104550bfc1b","year":1995},"citing_paper":{"arxiv_id":"1908.11133","last_updated":"2020-09-29T15:22:58Z","snapshot_observed_at":"2026-08-20T07:56:26.758436Z","submitted_at":"2019-08-29T10:01:20Z","title":"On the rate of convergence of fully connected very deep neural network regression estimates","version":5},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-14T10:32:55.571469Z"},"links":{"citing_paper":"/paper/1908.11133"},"observation_digest":"sha256:e3b75782ad4a43e6ec673c50161c6c68168e0fe51b2800b88f18ca426c613601","observation_id":"4a2b1a7a-afbc-4193-a710-020be67305a4","resolution":{"observed_at":"2026-08-14T10:32:56.076831Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-14T10:32:56.062575Z","title":"Schmidhuber","venue":null,"work_id":"88f7ef58-f9a8-496a-a8de-54bf000f7b09","year":2015},"citing_paper":{"arxiv_id":"1908.11133","last_updated":"2020-09-29T15:22:58Z","snapshot_observed_at":"2026-08-20T07:56:26.758436Z","submitted_at":"2019-08-29T10:01:20Z","title":"On the rate of convergence of fully connected very deep neural network regression estimates","version":5},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-14T10:32:55.574618Z"},"links":{"citing_paper":"/paper/1908.11133"},"observation_digest":"sha256:0baeb53cd4dfe080f3718148917af9a6ea5a08ca9751296fd89fc124bd197042","observation_id":"d8aaf3d6-c47a-403d-9ce7-2d419a6a61a4","resolution":{"observed_at":"2026-08-14T10:32:56.065995Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-14T10:32:56.052840Z","title":"Schmidt-Hieber","venue":null,"work_id":"9c94d722-7cf8-46f5-919b-0d925414717b","year":2020},"citing_paper":{"arxiv_id":"1908.11133","last_updated":"2020-09-29T15:22:58Z","snapshot_observed_at":"2026-08-20T07:56:26.758436Z","submitted_at":"2019-08-29T10:01:20Z","title":"On the rate of convergence of fully connected very deep neural network regression estimates","version":5},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-14T10:32:55.577845Z"},"links":{"citing_paper":"/paper/1908.11133"},"observation_digest":"sha256:e9e103f2d3a693dc93e272b15bf95937f166febc09749a67c7fc0db8f68b702e","observation_id":"d850c80e-a1ca-42d2-a692-a683a0c22424","resolution":{"observed_at":"2026-08-14T10:32:56.056228Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-14T10:32:56.042215Z","title":null,"venue":null,"work_id":"26f01b4e-2f22-4193-a6b1-ae08f126c18f","year":1982},"citing_paper":{"arxiv_id":"1908.11133","last_updated":"2020-09-29T15:22:58Z","snapshot_observed_at":"2026-08-20T07:56:26.758436Z","submitted_at":"2019-08-29T10:01:20Z","title":"On the rate of convergence of fully connected very deep neural network regression estimates","version":5},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-14T10:32:55.581132Z"},"links":{"citing_paper":"/paper/1908.11133"},"observation_digest":"sha256:1a3efd9b7c065d6ac73fd224e58617d26de5af0bbb40592f4b6ad2d0516d95c6","observation_id":"c3e7b540-a5d0-427a-ac48-266612edbe62","resolution":{"observed_at":"2026-08-14T10:32:56.045980Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-14T10:32:56.032406Z","title":null,"venue":null,"work_id":"a97a3072-9ae2-423c-b75b-575bddb5bc89","year":1985},"citing_paper":{"arxiv_id":"1908.11133","last_updated":"2020-09-29T15:22:58Z","snapshot_observed_at":"2026-08-20T07:56:26.758436Z","submitted_at":"2019-08-29T10:01:20Z","title":"On the rate of convergence of fully connected very deep neural network regression estimates","version":5},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-14T10:32:55.584583Z"},"links":{"citing_paper":"/paper/1908.11133"},"observation_digest":"sha256:601fc6f515ba11e127322ddaec4864bd454e77e2612a7785675299a88954aa90","observation_id":"3e77a92a-a18f-4180-9b5a-a85bfbb35e5c","resolution":{"observed_at":"2026-08-14T10:32:56.035962Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-14T10:32:56.022017Z","title":null,"venue":null,"work_id":"c63c1284-3f50-42ae-b2c8-6f1b5e78d59c","year":1994},"citing_paper":{"arxiv_id":"1908.11133","last_updated":"2020-09-29T15:22:58Z","snapshot_observed_at":"2026-08-20T07:56:26.758436Z","submitted_at":"2019-08-29T10:01:20Z","title":"On the rate of convergence of fully connected very deep neural network regression estimates","version":5},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-14T10:32:55.588059Z"},"links":{"citing_paper":"/paper/1908.11133"},"observation_digest":"sha256:34c1517c1f2abdc2e5a65e9d067e40b957c38c22ee70d821fc1a093741d17386","observation_id":"cf6bbfbc-af57-4cea-a901-907dbe22dd09","resolution":{"observed_at":"2026-08-14T10:32:56.025475Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-14T10:32:56.011844Z","title":null,"venue":null,"work_id":"adf39e8a-0b00-420d-9698-69f73632fc61","year":2019},"citing_paper":{"arxiv_id":"1908.11133","last_updated":"2020-09-29T15:22:58Z","snapshot_observed_at":"2026-08-20T07:56:26.758436Z","submitted_at":"2019-08-29T10:01:20Z","title":"On the rate of convergence of fully connected very deep neural network regression estimates","version":5},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-14T10:32:55.591527Z"},"links":{"citing_paper":"/paper/1908.11133"},"observation_digest":"sha256:202ee66a6d2bf09e29e25eb9a3ddd6d8079e154041be2cf39d200ac3e9721abf","observation_id":"bd8085ed-a2d2-4bc2-a96e-63ab63ff83ab","resolution":{"observed_at":"2026-08-14T10:32:56.015753Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-14T10:32:56.001927Z","title":"Yarotsky","venue":null,"work_id":"7854e9b5-f8c3-4563-9e18-164566e9138f","year":2018},"citing_paper":{"arxiv_id":"1908.11133","last_updated":"2020-09-29T15:22:58Z","snapshot_observed_at":"2026-08-20T07:56:26.758436Z","submitted_at":"2019-08-29T10:01:20Z","title":"On the rate of convergence of fully connected very deep neural network regression estimates","version":5},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-14T10:32:55.594722Z"},"links":{"citing_paper":"/paper/1908.11133"},"observation_digest":"sha256:44a0ef6b7d3d8687eaafeeec327886ed395c9db5e5b32e723383ab2f0ec0e40a","observation_id":"23099241-1394-4395-b52d-a5c7941d705e","resolution":{"observed_at":"2026-08-14T10:32:56.005585Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1906.09477","last_updated":"2021-01-05T22:28:06Z","snapshot_observed_at":"2026-08-14T16:12:22.005938Z","submitted_at":"2019-06-22T17:56:14Z","title":"The phase diagram of approximation rates for deep neural networks","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1906.09477","snapshot_observed_at":"2026-08-14T10:32:55.597859Z","title":"Yarotsky and A","venue":null,"work_id":null,"year":1906},"citing_paper":{"arxiv_id":"1908.11133","last_updated":"2020-09-29T15:22:58Z","snapshot_observed_at":"2026-08-20T07:56:26.758436Z","submitted_at":"2019-08-29T10:01:20Z","title":"On the rate of convergence of fully connected very deep neural network regression estimates","version":5},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-14T10:32:55.597859Z"},"links":{"cited_paper":"/paper/1906.09477","citing_paper":"/paper/1908.11133"},"observation_digest":"sha256:aa04458555089416fd86905e2cd9da7e42b1cf4d2c6f1d9cfbd3f09312559f35","observation_id":"cf9ffa2a-dcb8-4d0c-8d37-fe7fc435ba65","resolution":{"observed_at":"2026-08-14T10:32:55.597859Z","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":"2026-08-14T10:32:55.991751Z","title":"bottom left","venue":null,"work_id":"70771e99-b33e-4c6d-93b8-29ced22c0681","year":2002},"citing_paper":{"arxiv_id":"1908.11133","last_updated":"2020-09-29T15:22:58Z","snapshot_observed_at":"2026-08-20T07:56:26.758436Z","submitted_at":"2019-08-29T10:01:20Z","title":"On the rate of convergence of fully connected very deep neural network regression estimates","version":5},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-14T10:32:55.601330Z"},"links":{"citing_paper":"/paper/1908.11133"},"observation_digest":"sha256:549346d76370370365cc07a748d20cd6f215fb3db87f6487048c717841ac5976","observation_id":"73c488b0-9f25-4ff3-8188-8d90ed52398c","resolution":{"observed_at":"2026-08-14T10:32:55.995202Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-14T10:32:55.982250Z","title":null,"venue":null,"work_id":"75c0120c-3c10-426e-82fd-d194580ac35e","year":null},"citing_paper":{"arxiv_id":"1908.11133","last_updated":"2020-09-29T15:22:58Z","snapshot_observed_at":"2026-08-20T07:56:26.758436Z","submitted_at":"2019-08-29T10:01:20Z","title":"On the rate of convergence of fully connected very deep neural network regression estimates","version":5},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-14T10:32:55.605098Z"},"links":{"citing_paper":"/paper/1908.11133"},"observation_digest":"sha256:ef4fa4e55979092a1f9cdec41d8ea3704791e6622878b48d8a037783b7057ea4","observation_id":"8d4cf35b-7608-4692-b1f8-a3ea4f67fa73","resolution":{"observed_at":"2026-08-14T10:32:55.985887Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-14T10:32:55.972089Z","title":"The resulting network is a good approximation for f (x) in case that x ∈ ⋃ k∈{1,...,M 2d} (Ck, 2)0 1/M 2p+2","venue":null,"work_id":"1b2557c2-c80f-4a3a-b49c-55db58d1d524","year":null},"citing_paper":{"arxiv_id":"1908.11133","last_updated":"2020-09-29T15:22:58Z","snapshot_observed_at":"2026-08-20T07:56:26.758436Z","submitted_at":"2019-08-29T10:01:20Z","title":"On the rate of convergence of fully connected very deep neural network regression estimates","version":5},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-08-14T10:32:55.608484Z"},"links":{"citing_paper":"/paper/1908.11133"},"observation_digest":"sha256:0cde7246c30a10fac455877bb3262696d8ab2e24880d8ee1a233b6f1c257128f","observation_id":"e9af099c-983d-4d9c-ab7c-8120f719f2ab","resolution":{"observed_at":"2026-08-14T10:32:55.975637Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-14T10:32:55.962476Z","title":null,"venue":null,"work_id":"c9f2918b-d26c-4c0e-ae28-69f248c7d674","year":null},"citing_paper":{"arxiv_id":"1908.11133","last_updated":"2020-09-29T15:22:58Z","snapshot_observed_at":"2026-08-20T07:56:26.758436Z","submitted_at":"2019-08-29T10:01:20Z","title":"On the rate of convergence of fully connected very deep neural network regression estimates","version":5},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-08-14T10:32:55.612079Z"},"links":{"citing_paper":"/paper/1908.11133"},"observation_digest":"sha256:67582e9d8f39ed66e5582206dcd3002610157adf174b219906a9dd5bc554ac83","observation_id":"d633f20c-3920-4d9c-9822-378062e05136","resolution":{"observed_at":"2026-08-14T10:32:55.965771Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-14T10:32:55.953036Z","title":null,"venue":null,"work_id":"ca265eff-9ae9-4214-9983-fb59efa1b2b0","year":null},"citing_paper":{"arxiv_id":"1908.11133","last_updated":"2020-09-29T15:22:58Z","snapshot_observed_at":"2026-08-20T07:56:26.758436Z","submitted_at":"2019-08-29T10:01:20Z","title":"On the rate of convergence of fully connected very deep neural network regression estimates","version":5},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-08-14T10:32:55.615913Z"},"links":{"citing_paper":"/paper/1908.11133"},"observation_digest":"sha256:45cf77ddee73e3bea994323b952b5024df61ddce8bb35b51c12c163287a387da","observation_id":"a3e573a1-aa12-4f00-a37a-4ee09c7e901d","resolution":{"observed_at":"2026-08-14T10:32:55.956094Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-14T10:32:55.941670Z","title":null,"venue":null,"work_id":"ba0a0b05-c8c8-421c-a5d3-42dfa22abbdd","year":null},"citing_paper":{"arxiv_id":"1908.11133","last_updated":"2020-09-29T15:22:58Z","snapshot_observed_at":"2026-08-20T07:56:26.758436Z","submitted_at":"2019-08-29T10:01:20Z","title":"On the rate of convergence of fully connected very deep neural network regression estimates","version":5},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-08-14T10:32:55.619901Z"},"links":{"citing_paper":"/paper/1908.11133"},"observation_digest":"sha256:38c170cbe9e29a6a242bdb628d7d63481b6ba53edd1ab4c27996c0c66f22c602","observation_id":"73a84f22-e391-4f6e-acd1-90d6ce79e1a6","resolution":{"observed_at":"2026-08-14T10:32:55.945153Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-14T10:32:55.931439Z","title":null,"venue":null,"work_id":"e996bfdb-a3ff-4640-b174-22fb7cd60023","year":null},"citing_paper":{"arxiv_id":"1908.11133","last_updated":"2020-09-29T15:22:58Z","snapshot_observed_at":"2026-08-20T07:56:26.758436Z","submitted_at":"2019-08-29T10:01:20Z","title":"On the rate of convergence of fully connected very deep neural network regression estimates","version":5},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-08-14T10:32:55.623567Z"},"links":{"citing_paper":"/paper/1908.11133"},"observation_digest":"sha256:0e16089d1e9beb855f94f03bb846980e0bf752df67e15a5f42f7e4bca1b7e406","observation_id":"adfc0e44-36be-4f99-ac7b-2d517dc7646b","resolution":{"observed_at":"2026-08-14T10:32:55.934966Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-14T10:32:55.920680Z","title":"Thus we say that this network checks the position of our input x","venue":null,"work_id":"af40663c-2bf3-4383-a123-697ce11a5e05","year":null},"citing_paper":{"arxiv_id":"1908.11133","last_updated":"2020-09-29T15:22:58Z","snapshot_observed_at":"2026-08-20T07:56:26.758436Z","submitted_at":"2019-08-29T10:01:20Z","title":"On the rate of convergence of fully connected very deep neural network regression estimates","version":5},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-08-14T10:32:55.627777Z"},"links":{"citing_paper":"/paper/1908.11133"},"observation_digest":"sha256:66172d778f46a8fecd9efd730113a5294f282224aaa9128527ddef342802768a","observation_id":"a96fc50c-28ed-4b71-8ac8-11aaabba4526","resolution":{"observed_at":"2026-08-14T10:32:55.924882Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-14T10:32:55.911235Z","title":"Summarizing this we can conclude that 1 − f2(x) − f 2 id( ˆf1(x)) = ∑ j∈{1,...,M d} 1( ˜Cj,i )0 1/M 2p+2 (x) − f 2 id( ˆf1(x)) ≤ 0 − 0 = 0","venue":null,"work_id":"dea93120-e160-4294-a8c5-c08e676221d0","year":null},"citing_paper":{"arxiv_id":"1908.11133","last_updated":"2020-09-29T15:22:58Z","snapshot_observed_at":"2026-08-20T07:56:26.758436Z","submitted_at":"2019-08-29T10:01:20Z","title":"On the rate of convergence of fully connected very deep neural network regression estimates","version":5},"reference_index":48,"source":"pdf_text","source_observed_at":"2026-08-14T10:32:55.631584Z"},"links":{"citing_paper":"/paper/1908.11133"},"observation_digest":"sha256:f5822509f39979b77e556eee9ee6334be2b27b31a769acae2d08591439c8375c","observation_id":"ea7f8742-e6f5-4384-b9ec-8bf16ad2a94c","resolution":{"observed_at":"2026-08-14T10:32:55.914650Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-14T10:32:55.901964Z","title":null,"venue":null,"work_id":"bb97e8fd-d0e2-4161-a2cc-4f799f86cbb2","year":null},"citing_paper":{"arxiv_id":"1908.11133","last_updated":"2020-09-29T15:22:58Z","snapshot_observed_at":"2026-08-20T07:56:26.758436Z","submitted_at":"2019-08-29T10:01:20Z","title":"On the rate of convergence of fully connected very deep neural network regression estimates","version":5},"reference_index":49,"source":"pdf_text","source_observed_at":"2026-08-14T10:32:55.635382Z"},"links":{"citing_paper":"/paper/1908.11133"},"observation_digest":"sha256:3025f51bb7bead8f925e76cb4fcac01601c920791fd5743057322ca28a96ea84","observation_id":"ed2f30af-c749-4b7f-945c-1761dac5c4e8","resolution":{"observed_at":"2026-08-14T10:32:55.905353Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-14T10:32:55.891956Z","title":null,"venue":null,"work_id":"80441b5b-902c-4a07-9a08-c9255d1c8f5e","year":null},"citing_paper":{"arxiv_id":"1908.11133","last_updated":"2020-09-29T15:22:58Z","snapshot_observed_at":"2026-08-20T07:56:26.758436Z","submitted_at":"2019-08-29T10:01:20Z","title":"On the rate of convergence of fully connected very deep neural network regression estimates","version":5},"reference_index":50,"source":"pdf_text","source_observed_at":"2026-08-14T10:32:55.639522Z"},"links":{"citing_paper":"/paper/1908.11133"},"observation_digest":"sha256:4e6a807624e6ba1494fd91421600346b2e89a67d69a305a3560f54bb58ec69d5","observation_id":"f4c13ded-c91a-4048-8e04-88d800580f94","resolution":{"observed_at":"2026-08-14T10:32:55.895446Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-14T10:32:55.882121Z","title":"The resulting network is a good approximation for f (x) in case that x ∈ ⋃ k∈{1,...,M 2d} (Ck, 2)0 1/M 2p+2","venue":null,"work_id":"cf1de762-e972-4824-b085-e6362682c5e6","year":null},"citing_paper":{"arxiv_id":"1908.11133","last_updated":"2020-09-29T15:22:58Z","snapshot_observed_at":"2026-08-20T07:56:26.758436Z","submitted_at":"2019-08-29T10:01:20Z","title":"On the rate of convergence of fully connected very deep neural network regression estimates","version":5},"reference_index":51,"source":"pdf_text","source_observed_at":"2026-08-14T10:32:55.643130Z"},"links":{"citing_paper":"/paper/1908.11133"},"observation_digest":"sha256:6f7a31b2eaa2ed5950cb0d113d85a227ed402673575ce14926aeba359cbdb83b","observation_id":"048da845-8ff1-498b-98ea-b2378e77f31b","resolution":{"observed_at":"2026-08-14T10:32:55.885758Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-14T10:32:55.872477Z","title":null,"venue":null,"work_id":"c979cc94-2ea4-4860-b85f-9132a0c8bed7","year":null},"citing_paper":{"arxiv_id":"1908.11133","last_updated":"2020-09-29T15:22:58Z","snapshot_observed_at":"2026-08-20T07:56:26.758436Z","submitted_at":"2019-08-29T10:01:20Z","title":"On the rate of convergence of fully connected very deep neural network regression estimates","version":5},"reference_index":52,"source":"pdf_text","source_observed_at":"2026-08-14T10:32:55.646830Z"},"links":{"citing_paper":"/paper/1908.11133"},"observation_digest":"sha256:db1f030a584f478eff4fabcc0ddebf26416391a1753c442d380f5fcf80dfbc3a","observation_id":"3cbebc26-171f-4dbc-b1d3-c5041e02e0e9","resolution":{"observed_at":"2026-08-14T10:32:55.875802Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-14T10:32:55.862074Z","title":null,"venue":null,"work_id":"0d2136ff-29a8-4ab5-80da-882475affd95","year":null},"citing_paper":{"arxiv_id":"1908.11133","last_updated":"2020-09-29T15:22:58Z","snapshot_observed_at":"2026-08-20T07:56:26.758436Z","submitted_at":"2019-08-29T10:01:20Z","title":"On the rate of convergence of fully connected very deep neural network regression estimates","version":5},"reference_index":53,"source":"pdf_text","source_observed_at":"2026-08-14T10:32:55.650156Z"},"links":{"citing_paper":"/paper/1908.11133"},"observation_digest":"sha256:a98ace96dfc47b1b462a76ca634c8b49a1f4e5ac5b8c6d8c719e051a60c125d9","observation_id":"7d2f82fd-e0a1-4770-90e0-065f8011f4f9","resolution":{"observed_at":"2026-08-14T10:32:55.865571Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-14T10:32:55.851438Z","title":null,"venue":null,"work_id":"f99f193d-6cd1-4e6c-a426-51a6f0e3b4df","year":null},"citing_paper":{"arxiv_id":"1908.11133","last_updated":"2020-09-29T15:22:58Z","snapshot_observed_at":"2026-08-20T07:56:26.758436Z","submitted_at":"2019-08-29T10:01:20Z","title":"On the rate of convergence of fully connected very deep neural network regression estimates","version":5},"reference_index":54,"source":"pdf_text","source_observed_at":"2026-08-14T10:32:55.653866Z"},"links":{"citing_paper":"/paper/1908.11133"},"observation_digest":"sha256:495e815521737d1f0cf066d68f6a74f619b9d978802c08da745a9557ca6e7f3e","observation_id":"515a99e4-b04c-4d04-be50-0c52744745a8","resolution":{"observed_at":"2026-08-14T10:32:55.855343Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-14T10:32:55.841037Z","title":"We get ⏐ ⏐ ⏐fnet,deep, P2(x) − ˆTf,q, (CP2 (x))lef t(x) ⏐ ⏐ ⏐ = ⏐ ⏐ ⏐ˆφ1, 2M d+1 − φ1, 2M d+1 ⏐ ⏐ ⏐ 66 ≤ c36 · (6 + 2⌈ed⌉)4(q+1) · ( 2 · max { a, ‖f ‖Cq([−a,a ]d) })4(q+1) · 1 M 2p","venue":null,"work_id":"7a3845c0-51e4-43a6-9209-22820bd05a14","year":null},"citing_paper":{"arxiv_id":"1908.11133","last_updated":"2020-09-29T15:22:58Z","snapshot_observed_at":"2026-08-20T07:56:26.758436Z","submitted_at":"2019-08-29T10:01:20Z","title":"On the rate of convergence of fully connected very deep neural network regression estimates","version":5},"reference_index":55,"source":"pdf_text","source_observed_at":"2026-08-14T10:32:55.657685Z"},"links":{"citing_paper":"/paper/1908.11133"},"observation_digest":"sha256:375de86162431782f92f44605262de7a4f18a9ba2ac14b01ff68a5a7ea8eb89d","observation_id":"5a18a16c-3ac6-437b-ab17-a2d113d986d9","resolution":{"observed_at":"2026-08-14T10:32:55.844792Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-14T10:32:55.830979Z","title":null,"venue":null,"work_id":"05b248f9-123a-4a5d-8d53-3be27d1b3659","year":null},"citing_paper":{"arxiv_id":"1908.11133","last_updated":"2020-09-29T15:22:58Z","snapshot_observed_at":"2026-08-20T07:56:26.758436Z","submitted_at":"2019-08-29T10:01:20Z","title":"On the rate of convergence of fully connected very deep neural network regression estimates","version":5},"reference_index":56,"source":"pdf_text","source_observed_at":"2026-08-14T10:32:55.661427Z"},"links":{"citing_paper":"/paper/1908.11133"},"observation_digest":"sha256:9755d00475fc06f4853cfd19b9cd7126b84951c822e45b3c4914bfb165368aeb","observation_id":"08089cf9-9586-4f1d-b26a-bdf2e3e1509b","resolution":{"observed_at":"2026-08-14T10:32:55.834347Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-14T10:32:55.820950Z","title":", y(d+q d ) ) − p ( z, y1,","venue":null,"work_id":"d66ca218-d78e-4cfe-91ae-ed1f54d4ab98","year":null},"citing_paper":{"arxiv_id":"1908.11133","last_updated":"2020-09-29T15:22:58Z","snapshot_observed_at":"2026-08-20T07:56:26.758436Z","submitted_at":"2019-08-29T10:01:20Z","title":"On the rate of convergence of fully connected very deep neural network regression estimates","version":5},"reference_index":57,"source":"pdf_text","source_observed_at":"2026-08-14T10:32:55.664982Z"},"links":{"citing_paper":"/paper/1908.11133"},"observation_digest":"sha256:6f0a1223fa8e89ac6b9d88429d279a8bde2414b52ecd56e4fd2762ec2678bc90","observation_id":"a628fa3c-3dd0-43eb-b84e-b879aa86fdd1","resolution":{"observed_at":"2026-08-14T10:32:55.824388Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-14T10:32:55.810086Z","title":null,"venue":null,"work_id":"6795b329-f46a-4a6f-b40f-e891d321d59e","year":null},"citing_paper":{"arxiv_id":"1908.11133","last_updated":"2020-09-29T15:22:58Z","snapshot_observed_at":"2026-08-20T07:56:26.758436Z","submitted_at":"2019-08-29T10:01:20Z","title":"On the rate of convergence of fully connected very deep neural network regression estimates","version":5},"reference_index":58,"source":"pdf_text","source_observed_at":"2026-08-14T10:32:55.668984Z"},"links":{"citing_paper":"/paper/1908.11133"},"observation_digest":"sha256:57164f115b9435ba38d232261f00978eca45efef2f85f7837582410ee504b308","observation_id":"033dc5c5-e4c3-4953-ae98-021803c9dab9","resolution":{"observed_at":"2026-08-14T10:32:55.813737Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-14T10:32:55.798746Z","title":"Assume now that (44) holds for some i − 1 and every j ∈ {1,","venue":null,"work_id":"0973cdae-154d-4eed-bdea-70ef68adbc19","year":null},"citing_paper":{"arxiv_id":"1908.11133","last_updated":"2020-09-29T15:22:58Z","snapshot_observed_at":"2026-08-20T07:56:26.758436Z","submitted_at":"2019-08-29T10:01:20Z","title":"On the rate of convergence of fully connected very deep neural network regression estimates","version":5},"reference_index":59,"source":"pdf_text","source_observed_at":"2026-08-14T10:32:55.672348Z"},"links":{"citing_paper":"/paper/1908.11133"},"observation_digest":"sha256:7630a47c81919c589ece6733b4c6e8322ed3ff0affb2d22779d2cbde6b7e25d3","observation_id":"6554ee32-8791-4ae2-8cad-619eb99fd102","resolution":{"observed_at":"2026-08-14T10:32:55.802394Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-14T10:32:55.788376Z","title":",ˆh(i−1) ∑ j t=1 K (i) t ) −g(i) j ( ˆh(i−1) ∑ j− 1 t=1 K (i) t +1 ,","venue":null,"work_id":"9b7dedf1-ff08-4f33-b9f7-d8c0d9e7d060","year":null},"citing_paper":{"arxiv_id":"1908.11133","last_updated":"2020-09-29T15:22:58Z","snapshot_observed_at":"2026-08-20T07:56:26.758436Z","submitted_at":"2019-08-29T10:01:20Z","title":"On the rate of convergence of fully connected very deep neural network regression estimates","version":5},"reference_index":60,"source":"pdf_text","source_observed_at":"2026-08-14T10:32:55.675900Z"},"links":{"citing_paper":"/paper/1908.11133"},"observation_digest":"sha256:beef38f8cf47cb54a32045714a6d27783c9f7035715604a30cf9264a78873c8e","observation_id":"f08a66a6-5198-45af-b458-0c74aeb1638a","resolution":{"observed_at":"2026-08-14T10:32:55.791860Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-14T10:32:55.777072Z","title":", ˜N1}) is contained in the interval, where inequality ( 45) holds","venue":null,"work_id":"64e4986e-a930-4499-8719-215def663a6c","year":null},"citing_paper":{"arxiv_id":"1908.11133","last_updated":"2020-09-29T15:22:58Z","snapshot_observed_at":"2026-08-20T07:56:26.758436Z","submitted_at":"2019-08-29T10:01:20Z","title":"On the rate of convergence of fully connected very deep neural network regression estimates","version":5},"reference_index":61,"source":"pdf_text","source_observed_at":"2026-08-14T10:32:55.679427Z"},"links":{"citing_paper":"/paper/1908.11133"},"observation_digest":"sha256:e9632c92868f198fa308b0035214aa7767a1cda70e8ff6dbcc207b21fb4dbd06","observation_id":"aa985664-e083-4d01-865c-39df16a3f0a3","resolution":{"observed_at":"2026-08-14T10:32:55.781377Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-14T10:32:55.766626Z","title":", d} and any z1, z2 ∈ [−(4l − 1) · al, (4l − 1) · al] |fmult(z1, z2)| ≤ | z1 · z2| + |fmult(z1, z2) − z1 · z2| ≤ (4l − 1)2a2l + 1 ≤ (42l − 1) · a2l","venue":null,"work_id":"23a93ce2-834c-499e-81ab-02c912826bc6","year":null},"citing_paper":{"arxiv_id":"1908.11133","last_updated":"2020-09-29T15:22:58Z","snapshot_observed_at":"2026-08-20T07:56:26.758436Z","submitted_at":"2019-08-29T10:01:20Z","title":"On the rate of convergence of fully connected very deep neural network regression estimates","version":5},"reference_index":62,"source":"pdf_text","source_observed_at":"2026-08-14T10:32:55.683198Z"},"links":{"citing_paper":"/paper/1908.11133"},"observation_digest":"sha256:3f1d5b77e8729e0e32d85db2e927b5e1fe716e023c8bf0f617ad3771df4beb76","observation_id":"41640783-0d59-408a-94c8-51bf9fe04886","resolution":{"observed_at":"2026-08-14T10:32:55.770293Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-14T10:32:55.754936Z","title":null,"venue":null,"work_id":"2f08f823-0c78-4353-9ec0-7238cfe7c2bd","year":null},"citing_paper":{"arxiv_id":"1908.11133","last_updated":"2020-09-29T15:22:58Z","snapshot_observed_at":"2026-08-20T07:56:26.758436Z","submitted_at":"2019-08-29T10:01:20Z","title":"On the rate of convergence of fully connected very deep neural network regression estimates","version":5},"reference_index":63,"source":"pdf_text","source_observed_at":"2026-08-14T10:32:55.686817Z"},"links":{"citing_paper":"/paper/1908.11133"},"observation_digest":"sha256:ce489dd72a2ba8fc71415bcce7ad2ce430511dd45f6e103f6501f4cc32a8f5f7","observation_id":"df0005e1-d30d-4fdb-b839-9d8f375714b5","resolution":{"observed_at":"2026-08-14T10:32:55.759222Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"1908.11133","last_updated":"2020-09-29T15:22:58Z","latest_version":5,"primary_category":"stat.ML","snapshot_observed_at":"2026-08-20T07:56:26.758436Z","submitted_at":"2019-08-29T10:01:20Z","title":"On the rate of convergence of fully connected very deep neural network regression estimates"},"reference_resolution":{"displayed":63,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":33,"verified_exact":0,"verified_fuzzy":30},"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":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"thesis":"As of 20 August 2026, this Paper Citation Record lists 63 of 63 outbound references and 4 inbound Pith citation observations for arXiv:1908.11133."}