{"as_of":"2026-08-08T23:31:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:426df1a8cd82f86ae52da4d1b6599daaf4a9d17668147a1d9c3459816698270a","coverage":[{"denominator":58,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":58,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-08T14:54:05.146256Z","state":"measured"},{"denominator":59,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":59,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-08T06:32:00.761636+00:00","state":"measured"},{"denominator":1,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":1,"source":"paper_references, paper_reference_links","source_observed_at":"2026-06-27T06:17:42.033443Z","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":"2026-07-03T15:58:37.900777Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2502.06645","last_updated":"2025-02-10T16:35:08Z","snapshot_observed_at":"2026-08-08T14:45:33.742639Z","submitted_at":"2025-02-10T16:35:08Z","title":"Koopman-Equivariant Gaussian Processes","version":1},"cited_work":{"arxiv_id":"2502.06645","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2502.06645","snapshot_observed_at":"2026-07-03T15:58:37.900777Z","title":"Koopman-Equivariant Gaussian Processes, February 2025","venue":null,"work_id":"fc2503d3-5f1a-484e-8821-cfb541aa9041","year":2025},"citing_paper":{"arxiv_id":"2606.13063","last_updated":"2026-06-11T08:49:18Z","snapshot_observed_at":"2026-08-01T22:07:24.519926Z","submitted_at":"2026-06-11T08:49:18Z","title":"A Quadratic Order Reduction -- Gaussian Process Ordinary Differential Equation framework for the inference of Large Continuous Dynamical Systems","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-06-27T06:17:42.033443Z"},"links":{"cited_paper":"/paper/2502.06645","citing_paper":"/paper/2606.13063"},"observation_digest":"sha256:cad7e81d71d5ddfa52c0ded66a88847d11ceeadd33fb0b5c1b7424f0fb3bd350","observation_id":"5a2c1e1a-2fed-4cf3-abe0-761288092689","resolution":{"observed_at":"2026-07-03T15:58:37.902268Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2502.06645/citation-record","integrity":"/paper/2502.06645/integrity","json":"/paper/2502.06645/citation-record.json","paper":"/paper/2502.06645"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"2021.10583","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T14:54:06.600527Z","title":"doi: 10.1016/j.cnsns.2021.105833","venue":null,"work_id":"7ddcc371-3355-4c0d-a2de-f9794ee60577","year":2021},"citing_paper":{"arxiv_id":"2502.06645","last_updated":"2025-02-10T16:35:08Z","snapshot_observed_at":"2026-08-08T14:45:33.742639Z","submitted_at":"2025-02-10T16:35:08Z","title":"Koopman-Equivariant Gaussian Processes","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-08T14:54:04.928049Z"},"links":{"citing_paper":"/paper/2502.06645"},"observation_digest":"sha256:2aed87e9069f0dad61407fc118275555201af5aac90683e0f30adbfb3692c6f2","observation_id":"ee2c6e5c-c10d-4351-8d22-14a9d28dc97b","resolution":{"observed_at":"2026-08-08T14:54:06.607822Z","resolver_source":"raw_fallback","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1908.01786","last_updated":"2020-05-24T10:40:37Z","snapshot_observed_at":"2026-07-06T08:12:28.657164Z","submitted_at":"2019-08-05T18:06:23Z","title":"Stochastic data-driven model predictive control using Gaussian processes","version":2},"cited_work":{"arxiv_id":"1908.01786","doi":null,"metadata_source":"pith","pith_arxiv_id":"1908.01786","snapshot_observed_at":"2026-08-08T14:54:06.468101Z","title":"Stochastic data-driven model predictive control using Gaussian processes","venue":"math.OC","work_id":"68fc901e-fb24-4313-baee-f7d732073979","year":2019},"citing_paper":{"arxiv_id":"2502.06645","last_updated":"2025-02-10T16:35:08Z","snapshot_observed_at":"2026-08-08T14:45:33.742639Z","submitted_at":"2025-02-10T16:35:08Z","title":"Koopman-Equivariant Gaussian Processes","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-08T14:54:04.932786Z"},"links":{"cited_paper":"/paper/1908.01786","citing_paper":"/paper/2502.06645"},"observation_digest":"sha256:9f529c980c8d35d8fa8052a4924fbe49b827fbc12e0df4fc38b7b0a51d76c31c","observation_id":"da7a8d3e-9beb-4f39-b6ae-76047b1567a2","resolution":{"observed_at":"2026-08-08T14:54:06.472861Z","resolver_source":"local_arxiv","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-08T14:54:04.937732Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2502.06645","last_updated":"2025-02-10T16:35:08Z","snapshot_observed_at":"2026-08-08T14:45:33.742639Z","submitted_at":"2025-02-10T16:35:08Z","title":"Koopman-Equivariant Gaussian Processes","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-08T14:54:04.937732Z"},"links":{"citing_paper":"/paper/2502.06645"},"observation_digest":"sha256:af34bbf356967681f705907d3ad15fe99cd76ea18d8d4b30d8d1e254762c70bc","observation_id":"99808861-4693-4178-a12f-8a694a150a7c","resolution":{"observed_at":"2026-08-08T14:54:04.937732Z","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":"10.1137/20m1338289","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T14:54:05.410796Z","title":null,"venue":null,"work_id":"6f2161a0-82df-4886-87a0-a6ef7bb421f0","year":null},"citing_paper":{"arxiv_id":"2502.06645","last_updated":"2025-02-10T16:35:08Z","snapshot_observed_at":"2026-08-08T14:45:33.742639Z","submitted_at":"2025-02-10T16:35:08Z","title":"Koopman-Equivariant Gaussian Processes","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-08T14:54:04.951850Z"},"links":{"citing_paper":"/paper/2502.06645"},"observation_digest":"sha256:75d95d27b6d52d71da31a66823d00274c0fdb5eab4797703da473422d31338ad","observation_id":"4ccc251c-edf7-48c5-9b5b-2a61d5649301","resolution":{"observed_at":"2026-08-08T14:54:05.415627Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1903.03571","last_updated":"2019-09-03T18:39:56Z","snapshot_observed_at":"2026-07-06T07:38:02.012087Z","submitted_at":"2019-03-08T17:26:52Z","title":"Rates of Convergence for Sparse Variational Gaussian Process Regression","version":3},"cited_work":{"arxiv_id":"1903.03571","doi":null,"metadata_source":"pith","pith_arxiv_id":"1903.03571","snapshot_observed_at":"2026-08-08T14:54:06.443700Z","title":"Rates of Convergence for Sparse Variational Gaussian Process Regression","venue":"stat.ML","work_id":"1857b172-fdde-49aa-92f7-aef35f669025","year":2019},"citing_paper":{"arxiv_id":"2502.06645","last_updated":"2025-02-10T16:35:08Z","snapshot_observed_at":"2026-08-08T14:45:33.742639Z","submitted_at":"2025-02-10T16:35:08Z","title":"Koopman-Equivariant Gaussian Processes","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-08T14:54:04.956859Z"},"links":{"cited_paper":"/paper/1903.03571","citing_paper":"/paper/2502.06645"},"observation_digest":"sha256:1eced74f0b320d3da752ec981256ce21c3c61bc2ebaa063a8c9a919ba7820921","observation_id":"0b3c360c-8001-4b28-8713-76dc9f4931a3","resolution":{"observed_at":"2026-08-08T14:54:06.448838Z","resolver_source":"local_arxiv","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1016/j.automatica.2017.12.039","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T14:54:05.385236Z","title":"doi: https://doi.org/10.1016/j.automatica.2017.12.039","venue":null,"work_id":"422c659c-4337-4c41-87fc-e9b280dec90b","year":2017},"citing_paper":{"arxiv_id":"2502.06645","last_updated":"2025-02-10T16:35:08Z","snapshot_observed_at":"2026-08-08T14:45:33.742639Z","submitted_at":"2025-02-10T16:35:08Z","title":"Koopman-Equivariant Gaussian Processes","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-08T14:54:04.966133Z"},"links":{"citing_paper":"/paper/2502.06645"},"observation_digest":"sha256:70e8f1edd68c2e67cf6eb6df2583c91e112ffbe198ed70da363d794a6cad9222","observation_id":"7f6b9a3d-ea02-43d0-9b7b-735ef5e7db29","resolution":{"observed_at":"2026-08-08T14:54:05.389953Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-08T14:54:07.125479Z","title":"Safe reinforcement learning via confidence- based filters","venue":null,"work_id":"93b4930b-1a1c-4a70-95af-0fae08596fae","year":2022},"citing_paper":{"arxiv_id":"2502.06645","last_updated":"2025-02-10T16:35:08Z","snapshot_observed_at":"2026-08-08T14:45:33.742639Z","submitted_at":"2025-02-10T16:35:08Z","title":"Koopman-Equivariant Gaussian Processes","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-08T14:54:04.971005Z"},"links":{"citing_paper":"/paper/2502.06645"},"observation_digest":"sha256:ec5440baed42a62251b9008ff4b05a41d79867ad8c0afa816d3b10d16121b3fc","observation_id":"1ed6e0e4-9715-41f3-bd82-bb5bc4363d74","resolution":{"observed_at":"2026-08-08T14:54:07.130137Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-08T14:54:04.975406Z","title":"P Cvitanovi´ c, R Artuso, R Mainieri, G Tanner, and G Vattay.Chaos: Classical and Quantum","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2502.06645","last_updated":"2025-02-10T16:35:08Z","snapshot_observed_at":"2026-08-08T14:45:33.742639Z","submitted_at":"2025-02-10T16:35:08Z","title":"Koopman-Equivariant Gaussian Processes","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-08T14:54:04.975406Z"},"links":{"citing_paper":"/paper/2502.06645"},"observation_digest":"sha256:017e8af149fc4a63196ba85fb609d0796c6d59f03186f54041bf592f44cc6a70","observation_id":"619b81ed-2029-4f90-9a73-cca9ac1cfa7a","resolution":{"observed_at":"2026-08-08T14:54:04.975406Z","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":"2023.13404","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T14:54:06.353009Z","title":"doi: https: //doi.org/10.1016/j.physd.2023.134044","venue":null,"work_id":"23fa5e9c-2ce4-4e93-9276-8f94cd9dcff3","year":2023},"citing_paper":{"arxiv_id":"2502.06645","last_updated":"2025-02-10T16:35:08Z","snapshot_observed_at":"2026-08-08T14:45:33.742639Z","submitted_at":"2025-02-10T16:35:08Z","title":"Koopman-Equivariant Gaussian Processes","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-08T14:54:04.980088Z"},"links":{"citing_paper":"/paper/2502.06645"},"observation_digest":"sha256:d5478a454665320491e653608851646aaf544cf6bb8cbe2712c55e620e208ce2","observation_id":"3b0ac1fc-031b-47f3-9248-080e302aab50","resolution":{"observed_at":"2026-08-08T14:54:06.360157Z","resolver_source":"raw_fallback","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-08T14:54:07.110720Z","title":"Efficiently modeling long sequences with structured state spaces","venue":null,"work_id":"890c2270-f966-4adc-aff2-24cdbc92053e","year":2022},"citing_paper":{"arxiv_id":"2502.06645","last_updated":"2025-02-10T16:35:08Z","snapshot_observed_at":"2026-08-08T14:45:33.742639Z","submitted_at":"2025-02-10T16:35:08Z","title":"Koopman-Equivariant Gaussian Processes","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-08T14:54:04.989148Z"},"links":{"citing_paper":"/paper/2502.06645"},"observation_digest":"sha256:2f84049f8e156e7559b78d00aec89ffbb58426b18ced64163865439626a9836b","observation_id":"cea9bf23-82a4-488f-b3b5-b8743f0af6c2","resolution":{"observed_at":"2026-08-08T14:54:07.115596Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-08T14:54:04.993556Z","title":"Fr¨ ohlich, and Melanie N","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2502.06645","last_updated":"2025-02-10T16:35:08Z","snapshot_observed_at":"2026-08-08T14:45:33.742639Z","submitted_at":"2025-02-10T16:35:08Z","title":"Koopman-Equivariant Gaussian Processes","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-08T14:54:04.993556Z"},"links":{"citing_paper":"/paper/2502.06645"},"observation_digest":"sha256:0e36847649cfd3707a8346528f2cf4affba28851b83faee1f8fd45eb7c0100fb","observation_id":"ec4c2e6a-2447-4190-824f-dc593a66bb27","resolution":{"observed_at":"2026-08-08T14:54:04.993556Z","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":"10.1063/5.0094889","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T14:54:05.339449Z","title":"doi: 10.1063/5.0094889","venue":null,"work_id":"f60dd9bf-472c-4874-8151-07727b51cb8c","year":null},"citing_paper":{"arxiv_id":"2502.06645","last_updated":"2025-02-10T16:35:08Z","snapshot_observed_at":"2026-08-08T14:45:33.742639Z","submitted_at":"2025-02-10T16:35:08Z","title":"Koopman-Equivariant Gaussian Processes","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-08T14:54:05.002320Z"},"links":{"citing_paper":"/paper/2502.06645"},"observation_digest":"sha256:02c3c5ec876c4d5bd52a35ee62eb5126850f93f781dea7e0cb73e49a7b2738ca","observation_id":"01a27a7d-911d-4837-b7b4-37c6b819b28a","resolution":{"observed_at":"2026-08-08T14:54:05.344119Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-08T14:54:05.007060Z","title":"Olav Kallenberg","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2502.06645","last_updated":"2025-02-10T16:35:08Z","snapshot_observed_at":"2026-08-08T14:45:33.742639Z","submitted_at":"2025-02-10T16:35:08Z","title":"Koopman-Equivariant Gaussian Processes","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-08T14:54:05.007060Z"},"links":{"citing_paper":"/paper/2502.06645"},"observation_digest":"sha256:dbd2c9da39d498f352a1fc7277bb996871bbdfed080fd5896a2ebc59d46ab2de","observation_id":"5c1691b4-af84-4aba-b796-30b55191ac0a","resolution":{"observed_at":"2026-08-08T14:54:05.007060Z","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":"10.1007/b98838","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T14:54:05.324447Z","title":"doi: 10.1007/ b98838","venue":null,"work_id":"0d7b3d58-513c-4f31-a352-fba9ec53811c","year":null},"citing_paper":{"arxiv_id":"2502.06645","last_updated":"2025-02-10T16:35:08Z","snapshot_observed_at":"2026-08-08T14:45:33.742639Z","submitted_at":"2025-02-10T16:35:08Z","title":"Koopman-Equivariant Gaussian Processes","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-08T14:54:05.011677Z"},"links":{"citing_paper":"/paper/2502.06645"},"observation_digest":"sha256:f61de984ce3a58552970ad55b287d6fe14e2a0c2ad9cb4e0954338847596f887","observation_id":"db5d2c00-e24d-41c9-a250-5464b8fe6ffa","resolution":{"observed_at":"2026-08-08T14:54:05.329126Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/s00440-015-0619-7","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T14:54:05.308606Z","title":"Jonathan Ko, Daniel J Klein, Dieter Fox, and Dirk Haehnel","venue":null,"work_id":"2e081832-0a63-4a9f-8490-ad46d1062b79","year":null},"citing_paper":{"arxiv_id":"2502.06645","last_updated":"2025-02-10T16:35:08Z","snapshot_observed_at":"2026-08-08T14:45:33.742639Z","submitted_at":"2025-02-10T16:35:08Z","title":"Koopman-Equivariant Gaussian Processes","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-08T14:54:05.020689Z"},"links":{"citing_paper":"/paper/2502.06645"},"observation_digest":"sha256:d7e6450f85fdaedd77173fa4a69ca18e9fb361a63c2bbe2d1301eff4a85509db","observation_id":"5e26deb4-71af-44d0-99da-7bef31951717","resolution":{"observed_at":"2026-08-08T14:54:05.313635Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-08T14:54:05.029799Z","title":"doi: 10.1007/s00332-017-9423-0","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2502.06645","last_updated":"2025-02-10T16:35:08Z","snapshot_observed_at":"2026-08-08T14:45:33.742639Z","submitted_at":"2025-02-10T16:35:08Z","title":"Koopman-Equivariant Gaussian Processes","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-08T14:54:05.029799Z"},"links":{"citing_paper":"/paper/2502.06645"},"observation_digest":"sha256:f64e697e83211c88e7a65741632d5b620db2a8d7255edfc242fe3a7a82fc6501","observation_id":"3f9a5f53-7e9b-4508-afa5-cfbfca871d23","resolution":{"observed_at":"2026-08-08T14:54:05.029799Z","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":"2026-08-08T14:54:05.034307Z","title":"doi: 10.1109/TAC.2020.2978039","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2502.06645","last_updated":"2025-02-10T16:35:08Z","snapshot_observed_at":"2026-08-08T14:45:33.742639Z","submitted_at":"2025-02-10T16:35:08Z","title":"Koopman-Equivariant Gaussian Processes","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-08T14:54:05.034307Z"},"links":{"citing_paper":"/paper/2502.06645"},"observation_digest":"sha256:9fc33469a711561b1ec3d2af3ffb27115d4b8fc2b96e124efdbcec93b1bb1f52","observation_id":"16957469-8d26-416c-8dac-79628d3cf195","resolution":{"observed_at":"2026-08-08T14:54:05.034307Z","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":"10.1007/s00233-018-9958-x","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T14:54:05.273791Z","title":"doi: 10.1007/s00233-018-9958-x","venue":null,"work_id":"e30e00e7-623b-4ad5-b099-fe80da5eb2f6","year":null},"citing_paper":{"arxiv_id":"2502.06645","last_updated":"2025-02-10T16:35:08Z","snapshot_observed_at":"2026-08-08T14:45:33.742639Z","submitted_at":"2025-02-10T16:35:08Z","title":"Koopman-Equivariant Gaussian Processes","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-08T14:54:05.043163Z"},"links":{"citing_paper":"/paper/2502.06645"},"observation_digest":"sha256:1a4c929279aa700f1d140ff8b35902be8ae038bc55251dc620edc4760d0debb4","observation_id":"3e7a301c-ebee-47cb-94f2-d46fd15ed71d","resolution":{"observed_at":"2026-08-08T14:54:05.278709Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2305.04625","last_updated":"2023-05-08T11:05:44Z","snapshot_observed_at":"2026-07-06T15:24:30.746527Z","submitted_at":"2023-05-08T11:05:44Z","title":"The Signature Kernel","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2305.04625","snapshot_observed_at":"2026-08-08T14:54:05.047528Z","title":"Maud Lemercier, Cristopher Salvi, Thomas Cass, Edwin V Bonilla, Theodoros Damoulas, and Terry J Lyons","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2502.06645","last_updated":"2025-02-10T16:35:08Z","snapshot_observed_at":"2026-08-08T14:45:33.742639Z","submitted_at":"2025-02-10T16:35:08Z","title":"Koopman-Equivariant Gaussian Processes","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-08T14:54:05.047528Z"},"links":{"cited_paper":"/paper/2305.04625","citing_paper":"/paper/2502.06645"},"observation_digest":"sha256:ad47154e145b9154c3202e273b657e1b10e0f6677c68adf93b77071aabfc01ce","observation_id":"ad722af9-3af0-468b-bdb9-79963cd0b9a6","resolution":{"observed_at":"2026-08-08T14:54:05.047528Z","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":"2026-08-08T14:54:07.068838Z","title":null,"venue":null,"work_id":"a63a7c30-710c-44d6-80d6-2c3bb4195190","year":2024},"citing_paper":{"arxiv_id":"2502.06645","last_updated":"2025-02-10T16:35:08Z","snapshot_observed_at":"2026-08-08T14:45:33.742639Z","submitted_at":"2025-02-10T16:35:08Z","title":"Koopman-Equivariant Gaussian Processes","version":1},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-08T14:54:05.052124Z"},"links":{"citing_paper":"/paper/2502.06645"},"observation_digest":"sha256:b865e5287eb8d140d9062abf8cc72ca2ccbd16f3536b5073c12d388e6d852e21","observation_id":"b39752e6-5f80-49c6-bf91-136c122d49f4","resolution":{"observed_at":"2026-08-08T14:54:07.073594Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2208.01711","last_updated":"2023-12-12T10:06:41Z","snapshot_observed_at":"2026-08-03T02:56:47.496972Z","submitted_at":"2022-08-02T19:47:43Z","title":"Optimal Rates for Regularized Conditional Mean Embedding Learning","version":3},"cited_work":{"arxiv_id":"2208.01711","doi":null,"metadata_source":"pith","pith_arxiv_id":"2208.01711","snapshot_observed_at":"2026-08-08T14:54:05.987350Z","title":"Optimal Rates for Regularized Conditional Mean Embedding Learning","venue":"stat.ML","work_id":"665cba86-5681-4308-8e38-92beebbcba38","year":2022},"citing_paper":{"arxiv_id":"2502.06645","last_updated":"2025-02-10T16:35:08Z","snapshot_observed_at":"2026-08-08T14:45:33.742639Z","submitted_at":"2025-02-10T16:35:08Z","title":"Koopman-Equivariant Gaussian Processes","version":1},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-08T14:54:05.056874Z"},"links":{"cited_paper":"/paper/2208.01711","citing_paper":"/paper/2502.06645"},"observation_digest":"sha256:541be57a76239160176ef0bc39657e5c3cb4f9d27dc8ef089b90c8b03a4a8540","observation_id":"27c857aa-7aac-445b-9354-1713f6d82c1e","resolution":{"observed_at":"2026-08-08T14:54:05.992464Z","resolver_source":"local_arxiv","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1016/j.ifacol.2020.12.217","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T14:54:05.258940Z","title":"Bryan Lim and Stefan Zohren","venue":null,"work_id":"0f0cfe67-6bfc-476f-8c6a-2fba4cb9296a","year":2020},"citing_paper":{"arxiv_id":"2502.06645","last_updated":"2025-02-10T16:35:08Z","snapshot_observed_at":"2026-08-08T14:45:33.742639Z","submitted_at":"2025-02-10T16:35:08Z","title":"Koopman-Equivariant Gaussian Processes","version":1},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-08T14:54:05.061416Z"},"links":{"citing_paper":"/paper/2502.06645"},"observation_digest":"sha256:02c2ef8862aeacbc1834fc4e37bc4984e767f6cb7bbcce5b620c1c32055ac2b7","observation_id":"494cf59f-dcaa-4253-95d1-d26236a9d87d","resolution":{"observed_at":"2026-08-08T14:54:05.263672Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-08T14:54:05.065778Z","title":"Kartik Loya, Jake Buzhardt, and Phanindra Tallapragada","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2502.06645","last_updated":"2025-02-10T16:35:08Z","snapshot_observed_at":"2026-08-08T14:45:33.742639Z","submitted_at":"2025-02-10T16:35:08Z","title":"Koopman-Equivariant Gaussian Processes","version":1},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-08T14:54:05.065778Z"},"links":{"citing_paper":"/paper/2502.06645"},"observation_digest":"sha256:aaec3b182296470bd4eea62f977a1baf3f82de099816ea69e3dc47e85414b99e","observation_id":"e33a4e83-ba9d-400d-9921-abf546d1c724","resolution":{"observed_at":"2026-08-08T14:54:05.065778Z","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":"2026-08-08T14:54:05.070286Z","title":"Alexandre Mauroy, Igor Mezi´ c, and Yoshihiko Susuki.The Koopman Operator in Systems and Control , volume 484 of Lecture Notes in Control and Information Sciences","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2502.06645","last_updated":"2025-02-10T16:35:08Z","snapshot_observed_at":"2026-08-08T14:45:33.742639Z","submitted_at":"2025-02-10T16:35:08Z","title":"Koopman-Equivariant Gaussian Processes","version":1},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-08T14:54:05.070286Z"},"links":{"citing_paper":"/paper/2502.06645"},"observation_digest":"sha256:31aaab8a0925d1ca0e87789e7f91b52447a615623556ff05bfb276da2958a952","observation_id":"f171e3a7-0056-4a30-96ef-822875a873fb","resolution":{"observed_at":"2026-08-08T14:54:05.070286Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2405.14778","last_updated":"2024-05-23T16:45:52Z","snapshot_observed_at":"2026-08-05T10:15:13.963056Z","submitted_at":"2024-05-23T16:45:52Z","title":"Optimal Rates for Vector-Valued Spectral Regularization Learning Algorithms","version":1},"cited_work":{"arxiv_id":"2405.14778","doi":null,"metadata_source":"pith","pith_arxiv_id":"2405.14778","snapshot_observed_at":"2026-08-08T14:54:05.823731Z","title":"Optimal Rates for Vector-Valued Spectral Regularization Learning Algorithms","venue":"stat.ML","work_id":"84d7ca10-d533-496b-95fe-519ddf42d8b8","year":2024},"citing_paper":{"arxiv_id":"2502.06645","last_updated":"2025-02-10T16:35:08Z","snapshot_observed_at":"2026-08-08T14:45:33.742639Z","submitted_at":"2025-02-10T16:35:08Z","title":"Koopman-Equivariant Gaussian Processes","version":1},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-08-08T14:54:05.079091Z"},"links":{"cited_paper":"/paper/2405.14778","citing_paper":"/paper/2502.06645"},"observation_digest":"sha256:287b98432aaff188a5072ff38f49cddbf902c76abe3d11460944371b77cce08f","observation_id":"88cbcffa-287b-4fa8-b278-8866f2e09226","resolution":{"observed_at":"2026-08-08T14:54:05.828637Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2311.07143","last_updated":"2023-11-13T08:14:29Z","snapshot_observed_at":"2026-07-06T16:46:26.447076Z","submitted_at":"2023-11-13T08:14:29Z","title":"Learning Symmetrization for Equivariance with Orbit Distance Minimization","version":1},"cited_work":{"arxiv_id":"2311.07143","doi":null,"metadata_source":"pith","pith_arxiv_id":"2311.07143","snapshot_observed_at":"2026-08-08T14:54:05.800378Z","title":"Learning Symmetrization for Equivariance with Orbit Distance Minimization","venue":"cs.LG","work_id":"3ec617d5-f1c7-4cea-974c-601d7c8a7ff8","year":2023},"citing_paper":{"arxiv_id":"2502.06645","last_updated":"2025-02-10T16:35:08Z","snapshot_observed_at":"2026-08-08T14:45:33.742639Z","submitted_at":"2025-02-10T16:35:08Z","title":"Koopman-Equivariant Gaussian Processes","version":1},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-08-08T14:54:05.083809Z"},"links":{"cited_paper":"/paper/2311.07143","citing_paper":"/paper/2502.06645"},"observation_digest":"sha256:c9d80d631cfdbedf09f55b2b4a27117abbc305b66b9917f252bcb7b3f218aed9","observation_id":"b8208866-5ef5-4258-8676-715503bdbf7b","resolution":{"observed_at":"2026-08-08T14:54:05.806794Z","resolver_source":"local_arxiv","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-08T14:54:07.053573Z","title":"Exact Multiple-Step Predictions in Gaussian Process- based Model Predictive Control: Observations, Possibilities, and Challenges","venue":null,"work_id":"dcf492d4-a3a0-474e-b593-9dc0d681f38d","year":2022},"citing_paper":{"arxiv_id":"2502.06645","last_updated":"2025-02-10T16:35:08Z","snapshot_observed_at":"2026-08-08T14:45:33.742639Z","submitted_at":"2025-02-10T16:35:08Z","title":"Koopman-Equivariant Gaussian Processes","version":1},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-08-08T14:54:05.088265Z"},"links":{"citing_paper":"/paper/2502.06645"},"observation_digest":"sha256:90e5ce86bfadf39629cdfe55baf1b089979de8970ccabc12501ebca54ec3705e","observation_id":"8d40709f-978e-4d15-9671-817222c88a32","resolution":{"observed_at":"2026-08-08T14:54:07.058759Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-08T14:54:05.092647Z","title":"Thomas Pinder and Daniel Dodd","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2502.06645","last_updated":"2025-02-10T16:35:08Z","snapshot_observed_at":"2026-08-08T14:45:33.742639Z","submitted_at":"2025-02-10T16:35:08Z","title":"Koopman-Equivariant Gaussian Processes","version":1},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-08-08T14:54:05.092647Z"},"links":{"citing_paper":"/paper/2502.06645"},"observation_digest":"sha256:a4bbd15a5176fcc645ad76b91a5da6562baeabf25120f97e55e2ad411abe587c","observation_id":"c63908ea-d4d5-42fc-bf6e-c5a7c5dbf480","resolution":{"observed_at":"2026-08-08T14:54:05.092647Z","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":"2026-08-08T14:54:05.096842Z","title":"URL https://doi.org/10.21105/joss.04455","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2502.06645","last_updated":"2025-02-10T16:35:08Z","snapshot_observed_at":"2026-08-08T14:45:33.742639Z","submitted_at":"2025-02-10T16:35:08Z","title":"Koopman-Equivariant Gaussian Processes","version":1},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-08-08T14:54:05.096842Z"},"links":{"citing_paper":"/paper/2502.06645"},"observation_digest":"sha256:708b522c22b65f350545c0fdcc8674ff01b315083f7a014d46e42cb6c6230582","observation_id":"cc75b1b2-8c40-4704-a7f4-779565cd111d","resolution":{"observed_at":"2026-08-08T14:54:05.096842Z","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":"2026-08-08T14:54:07.038732Z","title":"Joaquin Qui˜ nonero-Candela and Carl Edward Rasmussen","venue":null,"work_id":"7bbc5662-ffdb-4538-9465-b48960a30e10","year":1939},"citing_paper":{"arxiv_id":"2502.06645","last_updated":"2025-02-10T16:35:08Z","snapshot_observed_at":"2026-08-08T14:45:33.742639Z","submitted_at":"2025-02-10T16:35:08Z","title":"Koopman-Equivariant Gaussian Processes","version":1},"reference_index":48,"source":"pdf_text","source_observed_at":"2026-08-08T14:54:05.101477Z"},"links":{"citing_paper":"/paper/2502.06645"},"observation_digest":"sha256:f9a31011c01c38ffc8840e69905d005d81eb728da3eb100cde39a2dc3c4189ce","observation_id":"17401891-f95f-496d-8416-96e67d5b08a8","resolution":{"observed_at":"2026-08-08T14:54:07.043595Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2211.11103","last_updated":"2023-05-13T19:58:43Z","snapshot_observed_at":"2026-07-06T14:20:54.903780Z","submitted_at":"2022-11-20T22:19:39Z","title":"The Past Does Matter: Correlation of Subsequent States in Trajectory Predictions of Gaussian Process Models","version":2},"cited_work":{"arxiv_id":"2211.11103","doi":null,"metadata_source":"pith","pith_arxiv_id":"2211.11103","snapshot_observed_at":"2026-08-08T14:54:05.714038Z","title":"The Past Does Matter: Correlation of Subsequent States in Trajectory Predictions of Gaussian Process Models","venue":"stat.ML","work_id":"88228019-d948-4ea2-a1de-2ca62eefeedb","year":2022},"citing_paper":{"arxiv_id":"2502.06645","last_updated":"2025-02-10T16:35:08Z","snapshot_observed_at":"2026-08-08T14:45:33.742639Z","submitted_at":"2025-02-10T16:35:08Z","title":"Koopman-Equivariant Gaussian Processes","version":1},"reference_index":49,"source":"pdf_text","source_observed_at":"2026-08-08T14:54:05.105705Z"},"links":{"cited_paper":"/paper/2211.11103","citing_paper":"/paper/2502.06645"},"observation_digest":"sha256:9be659acf92830c55787011773729039fa899b82da2d0ed52e006aee10fc41a2","observation_id":"0ff5beca-9f32-4739-aaf5-a8b13a113394","resolution":{"observed_at":"2026-08-08T14:54:05.719841Z","resolver_source":"local_arxiv","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-08T14:54:05.110169Z","title":"doi: 10.1137/20M1366794","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2502.06645","last_updated":"2025-02-10T16:35:08Z","snapshot_observed_at":"2026-08-08T14:45:33.742639Z","submitted_at":"2025-02-10T16:35:08Z","title":"Koopman-Equivariant Gaussian Processes","version":1},"reference_index":50,"source":"pdf_text","source_observed_at":"2026-08-08T14:54:05.110169Z"},"links":{"citing_paper":"/paper/2502.06645"},"observation_digest":"sha256:2a5495088ecd2c43ac97ca223a6316d2cfb230c7591b97a24249f1f0bd662223","observation_id":"83a48428-b36d-408e-9790-18e5d5881b34","resolution":{"observed_at":"2026-08-08T14:54:05.110169Z","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":"2026-08-08T14:54:07.024205Z","title":"Financial time series forecasting with deep learning : A systematic literature review: 2005–2019","venue":null,"work_id":"1aeec6c0-a412-4e02-afb8-61a2682182bc","year":2005},"citing_paper":{"arxiv_id":"2502.06645","last_updated":"2025-02-10T16:35:08Z","snapshot_observed_at":"2026-08-08T14:45:33.742639Z","submitted_at":"2025-02-10T16:35:08Z","title":"Koopman-Equivariant Gaussian Processes","version":1},"reference_index":52,"source":"pdf_text","source_observed_at":"2026-08-08T14:54:05.119251Z"},"links":{"citing_paper":"/paper/2502.06645"},"observation_digest":"sha256:bf340d4f1c9a5a34fd3f75b7029ef91e9e4ada03698fe50fde4970a6b7960221","observation_id":"0819fe4d-142b-4120-bf1b-3426ce54310e","resolution":{"observed_at":"2026-08-08T14:54:07.028885Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"2011.21820","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T14:54:05.612888Z","title":"doi: 10.1109/TIT.2011.2182033","venue":null,"work_id":"cc957e2c-d4c2-4e18-809f-1721d5853a8f","year":2011},"citing_paper":{"arxiv_id":"2502.06645","last_updated":"2025-02-10T16:35:08Z","snapshot_observed_at":"2026-08-08T14:45:33.742639Z","submitted_at":"2025-02-10T16:35:08Z","title":"Koopman-Equivariant Gaussian Processes","version":1},"reference_index":53,"source":"pdf_text","source_observed_at":"2026-08-08T14:54:05.123568Z"},"links":{"citing_paper":"/paper/2502.06645"},"observation_digest":"sha256:650fadfaa9c695e1d1f9a9eb86ae77888da8a9ad0139d09788692143fb7cb5af","observation_id":"5c5ca6f8-d7b3-4aeb-baf7-5519c0c5fe48","resolution":{"observed_at":"2026-08-08T14:54:05.620317Z","resolver_source":"raw_fallback","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1214/009053607000000613","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T14:54:05.216041Z","title":"doi: 10.1214/009053607000000613","venue":null,"work_id":"5f1feb02-97b9-4e4f-b9ed-2d1034e94186","year":null},"citing_paper":{"arxiv_id":"2502.06645","last_updated":"2025-02-10T16:35:08Z","snapshot_observed_at":"2026-08-08T14:45:33.742639Z","submitted_at":"2025-02-10T16:35:08Z","title":"Koopman-Equivariant Gaussian Processes","version":1},"reference_index":54,"source":"pdf_text","source_observed_at":"2026-08-08T14:54:05.128213Z"},"links":{"citing_paper":"/paper/2502.06645"},"observation_digest":"sha256:f34e4d0cc39bcb3a2d4c91b8cecf0927f978f182b1ccf370d6b21c669638b93d","observation_id":"aac65c6e-15a3-4caf-9a17-a539eeab70b3","resolution":{"observed_at":"2026-08-08T14:54:05.220690Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-08T14:54:05.132701Z","title":"Jack Wang, Aaron Hertzmann, and David J Fleet","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2502.06645","last_updated":"2025-02-10T16:35:08Z","snapshot_observed_at":"2026-08-08T14:45:33.742639Z","submitted_at":"2025-02-10T16:35:08Z","title":"Koopman-Equivariant Gaussian Processes","version":1},"reference_index":55,"source":"pdf_text","source_observed_at":"2026-08-08T14:54:05.132701Z"},"links":{"citing_paper":"/paper/2502.06645"},"observation_digest":"sha256:1deeb2ec841f0825fd0af7850a518efefb169874d7dc5a5c7e0803e56e36d147","observation_id":"5d923000-9c1e-4549-82e8-120db5071a52","resolution":{"observed_at":"2026-08-08T14:54:05.132701Z","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":"2026-08-08T14:54:05.137232Z","title":"doi: 10.1007/s00332-019-09567-y","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2502.06645","last_updated":"2025-02-10T16:35:08Z","snapshot_observed_at":"2026-08-08T14:45:33.742639Z","submitted_at":"2025-02-10T16:35:08Z","title":"Koopman-Equivariant Gaussian Processes","version":1},"reference_index":56,"source":"pdf_text","source_observed_at":"2026-08-08T14:54:05.137232Z"},"links":{"citing_paper":"/paper/2502.06645"},"observation_digest":"sha256:8e10cd2ac55d163fc87ae498b82d063d395792a3fda31be3e40aa156954cfc7d","observation_id":"a91b1bba-2d73-4094-a09f-dd29639adf26","resolution":{"observed_at":"2026-08-08T14:54:05.137232Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2303.01927","last_updated":"2024-07-20T16:07:52Z","snapshot_observed_at":"2026-07-06T14:58:21.855086Z","submitted_at":"2023-03-03T13:52:41Z","title":"A Generalized Nyquist-Shannon Sampling Theorem Using the Koopman Operator","version":3},"cited_work":{"arxiv_id":"2303.01927","doi":null,"metadata_source":"pith","pith_arxiv_id":"2303.01927","snapshot_observed_at":"2026-08-08T14:54:05.479263Z","title":"A Generalized Nyquist-Shannon Sampling Theorem Using the Koopman Operator","venue":"cs.IT","work_id":"f792e507-71e9-400c-8d15-9619c56a66a7","year":2023},"citing_paper":{"arxiv_id":"2502.06645","last_updated":"2025-02-10T16:35:08Z","snapshot_observed_at":"2026-08-08T14:45:33.742639Z","submitted_at":"2025-02-10T16:35:08Z","title":"Koopman-Equivariant Gaussian Processes","version":1},"reference_index":57,"source":"pdf_text","source_observed_at":"2026-08-08T14:54:05.141766Z"},"links":{"cited_paper":"/paper/2303.01927","citing_paper":"/paper/2502.06645"},"observation_digest":"sha256:5cbd025a45ee02a132e3f72ba0a84809324d531fe7d5dda11d74c9e7d6cc474b","observation_id":"79291fb3-5487-41fd-9569-492d11523fee","resolution":{"observed_at":"2026-08-08T14:54:05.484552Z","resolver_source":"local_arxiv","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1088/0951-7715/29/9/2888","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T14:54:05.177967Z","title":"Mauricio ´Alvarez, David Luengo, and Neil D","venue":null,"work_id":"996e46cf-0a6d-4eb4-bfca-9fa2ff2a00a3","year":null},"citing_paper":{"arxiv_id":"2502.06645","last_updated":"2025-02-10T16:35:08Z","snapshot_observed_at":"2026-08-08T14:45:33.742639Z","submitted_at":"2025-02-10T16:35:08Z","title":"Koopman-Equivariant Gaussian Processes","version":1},"reference_index":58,"source":"pdf_text","source_observed_at":"2026-08-08T14:54:05.146256Z"},"links":{"citing_paper":"/paper/2502.06645"},"observation_digest":"sha256:c119528e7ffb78330495e6bb50f75cbdfb5e244c9004cd66db7b5ac315b82333","observation_id":"daf05edc-ac05-44d6-a477-7537ef78ec3e","resolution":{"observed_at":"2026-08-08T14:54:05.185045Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-08T14:54:05.074576Z","title":"doi: 10.1098/rsta.1909.0016","venue":null,"work_id":null,"year":1909},"citing_paper":{"arxiv_id":"2502.06645","last_updated":"2025-02-10T16:35:08Z","snapshot_observed_at":"2026-08-08T14:45:33.742639Z","submitted_at":"2025-02-10T16:35:08Z","title":"Koopman-Equivariant Gaussian Processes","version":1},"reference_index":1909,"source":"pdf_text","source_observed_at":"2026-08-08T14:54:05.074576Z"},"links":{"citing_paper":"/paper/2502.06645"},"observation_digest":"sha256:13e2b44dfc03e30bc67cf856782d54f950ea23006281615cf9e0f089e4a85b6b","observation_id":"eb1fabb6-c260-41a6-bf77-666cf6807a55","resolution":{"observed_at":"2026-08-08T14:54:05.074576Z","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":"2026-08-08T14:54:05.025284Z","title":"doi: 10.1073/pnas.17.5.315","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2502.06645","last_updated":"2025-02-10T16:35:08Z","snapshot_observed_at":"2026-08-08T14:45:33.742639Z","submitted_at":"2025-02-10T16:35:08Z","title":"Koopman-Equivariant Gaussian Processes","version":1},"reference_index":1931,"source":"pdf_text","source_observed_at":"2026-08-08T14:54:05.025284Z"},"links":{"citing_paper":"/paper/2502.06645"},"observation_digest":"sha256:06b6b7d2fe67853875601bbec9fc0646ccefc151081fe387397af826c0b4fbef","observation_id":"142c9be8-bc54-428f-952b-06d9692db7cf","resolution":{"observed_at":"2026-08-08T14:54:05.025284Z","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":"10.2307/1990329","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T14:54:05.369493Z","title":"doi: 10.2307/1990329","venue":null,"work_id":"bc90c0d9-f5f5-43d3-813a-6f98654a11dd","year":null},"citing_paper":{"arxiv_id":"2502.06645","last_updated":"2025-02-10T16:35:08Z","snapshot_observed_at":"2026-08-08T14:45:33.742639Z","submitted_at":"2025-02-10T16:35:08Z","title":"Koopman-Equivariant Gaussian Processes","version":1},"reference_index":1943,"source":"pdf_text","source_observed_at":"2026-08-08T14:54:04.984424Z"},"links":{"citing_paper":"/paper/2502.06645"},"observation_digest":"sha256:e82c43391906ce5f7ca3f3368223dbd71e2533d48fd2ae57b6d2e8d7f5b81a46","observation_id":"6865cf87-15ec-45d3-8688-89213e9d8c40","resolution":{"observed_at":"2026-08-08T14:54:05.374159Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-08T14:54:04.922957Z","title":"doi: 10.1007/978-1-4612-0653-8","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2502.06645","last_updated":"2025-02-10T16:35:08Z","snapshot_observed_at":"2026-08-08T14:45:33.742639Z","submitted_at":"2025-02-10T16:35:08Z","title":"Koopman-Equivariant Gaussian Processes","version":1},"reference_index":1997,"source":"pdf_text","source_observed_at":"2026-08-08T14:54:04.922957Z"},"links":{"citing_paper":"/paper/2502.06645"},"observation_digest":"sha256:371984d81a23852c246e5384928603f80f059a49b28eb00a483cd5db84f7b57a","observation_id":"ea201309-5d30-4d40-9db6-4b267aec3df6","resolution":{"observed_at":"2026-08-08T14:54:04.922957Z","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":"2026-08-08T14:54:04.961633Z","title":"Tianshi Chen","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2502.06645","last_updated":"2025-02-10T16:35:08Z","snapshot_observed_at":"2026-08-08T14:45:33.742639Z","submitted_at":"2025-02-10T16:35:08Z","title":"Koopman-Equivariant Gaussian Processes","version":1},"reference_index":2008,"source":"pdf_text","source_observed_at":"2026-08-08T14:54:04.961633Z"},"links":{"citing_paper":"/paper/2502.06645"},"observation_digest":"sha256:77825e1f56a9b7a71869e8c6b8c3cc0585d3820ded3a935b1a822b154fb3f22a","observation_id":"02448d62-a52a-437c-a222-7590dc3c951c","resolution":{"observed_at":"2026-08-08T14:54:04.961633Z","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":"2026-08-08T14:54:07.084522Z","title":"Henrik Kreidler","venue":null,"work_id":"e7fdfcec-0ba2-4b89-9dd1-3bf06342312b","year":2011},"citing_paper":{"arxiv_id":"2502.06645","last_updated":"2025-02-10T16:35:08Z","snapshot_observed_at":"2026-08-08T14:45:33.742639Z","submitted_at":"2025-02-10T16:35:08Z","title":"Koopman-Equivariant Gaussian Processes","version":1},"reference_index":2011,"source":"pdf_text","source_observed_at":"2026-08-08T14:54:05.038577Z"},"links":{"citing_paper":"/paper/2502.06645"},"observation_digest":"sha256:7038d68764cebbe35ac78817612c567c7feffbd616b6d0201c2eef7ce29dd874","observation_id":"47fd909a-8f73-4f8b-b922-d06102826465","resolution":{"observed_at":"2026-08-08T14:54:07.089918Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-08T14:54:04.947120Z","title":"doi: 10.1063/1.4772195","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2502.06645","last_updated":"2025-02-10T16:35:08Z","snapshot_observed_at":"2026-08-08T14:45:33.742639Z","submitted_at":"2025-02-10T16:35:08Z","title":"Koopman-Equivariant Gaussian Processes","version":1},"reference_index":2012,"source":"pdf_text","source_observed_at":"2026-08-08T14:54:04.947120Z"},"links":{"citing_paper":"/paper/2502.06645"},"observation_digest":"sha256:52ce3dabd9b5a50114f096f4dc5434fe3c31d796f9d39784da313031a89453e6","observation_id":"30f8988e-a09c-4236-a20b-91e786336ffc","resolution":{"observed_at":"2026-08-08T14:54:04.947120Z","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":"2026-08-08T14:54:05.114913Z","title":"V ´ ıctor Garcia Satorras, Emiel Hoogeboom, and Max Welling","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2502.06645","last_updated":"2025-02-10T16:35:08Z","snapshot_observed_at":"2026-08-08T14:45:33.742639Z","submitted_at":"2025-02-10T16:35:08Z","title":"Koopman-Equivariant Gaussian Processes","version":1},"reference_index":2013,"source":"pdf_text","source_observed_at":"2026-08-08T14:54:05.114913Z"},"links":{"citing_paper":"/paper/2502.06645"},"observation_digest":"sha256:0d9246d8ad6faa82e85f1395d01e7e6aa305318bbe8ef27e042e8e074357daf6","observation_id":"1cf60561-4b48-4df3-81ea-43f049103ad3","resolution":{"observed_at":"2026-08-08T14:54:05.114913Z","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":"10.1146/annurev-economics-080213-041213","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T14:54:05.354086Z","title":"doi: 10.1146/annurev-economics-080213-041213","venue":null,"work_id":"89e27db9-9816-4577-a160-8f6af2856280","year":1941},"citing_paper":{"arxiv_id":"2502.06645","last_updated":"2025-02-10T16:35:08Z","snapshot_observed_at":"2026-08-08T14:45:33.742639Z","submitted_at":"2025-02-10T16:35:08Z","title":"Koopman-Equivariant Gaussian Processes","version":1},"reference_index":2014,"source":"pdf_text","source_observed_at":"2026-08-08T14:54:04.997895Z"},"links":{"citing_paper":"/paper/2502.06645"},"observation_digest":"sha256:15226673d2943cc0ff6d544e78bce9351a287a3f6409cfce0204a3e634286921","observation_id":"273f2e93-1321-4b68-ba93-eb9013a30385","resolution":{"observed_at":"2026-08-08T14:54:05.359498Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"2015.73309","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T14:54:06.686951Z","title":"Felix Berkenkamp, Matteo Turchetta, Angela Schoellig, and Andreas Krause","venue":null,"work_id":"e7ddff75-25c6-47e6-af77-90ba5afe227b","year":2015},"citing_paper":{"arxiv_id":"2502.06645","last_updated":"2025-02-10T16:35:08Z","snapshot_observed_at":"2026-08-08T14:45:33.742639Z","submitted_at":"2025-02-10T16:35:08Z","title":"Koopman-Equivariant Gaussian Processes","version":1},"reference_index":2015,"source":"pdf_text","source_observed_at":"2026-08-08T14:54:04.912761Z"},"links":{"citing_paper":"/paper/2502.06645"},"observation_digest":"sha256:ec8a8e9a94b45afe250d4d6716489119217a72eb17770f691265db954fd819dc","observation_id":"d439ea79-df40-40fb-b652-bb83369f1fd3","resolution":{"observed_at":"2026-08-08T14:54:06.695570Z","resolver_source":"raw_fallback","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-08T14:54:04.918095Z","title":"doi: https://doi.org/10.1016/j.acha.2015.03.002","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2502.06645","last_updated":"2025-02-10T16:35:08Z","snapshot_observed_at":"2026-08-08T14:45:33.742639Z","submitted_at":"2025-02-10T16:35:08Z","title":"Koopman-Equivariant Gaussian Processes","version":1},"reference_index":2016,"source":"pdf_text","source_observed_at":"2026-08-08T14:54:04.918095Z"},"links":{"citing_paper":"/paper/2502.06645"},"observation_digest":"sha256:75d8c1864a71902137adf610297b9dc3845effada3646b6eb2f9fa6976b7b420","observation_id":"d09b6a3a-349c-48f0-8e6d-d036a09bdeb4","resolution":{"observed_at":"2026-08-08T14:54:04.918095Z","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":"2026-08-08T14:54:07.154719Z","title":"Gosafe: Globally optimal safe robot learning","venue":null,"work_id":"38ecbcb3-60da-4a17-9537-032c5917b5e9","year":2021},"citing_paper":{"arxiv_id":"2502.06645","last_updated":"2025-02-10T16:35:08Z","snapshot_observed_at":"2026-08-08T14:45:33.742639Z","submitted_at":"2025-02-10T16:35:08Z","title":"Koopman-Equivariant Gaussian Processes","version":1},"reference_index":2017,"source":"pdf_text","source_observed_at":"2026-08-08T14:54:04.893346Z"},"links":{"citing_paper":"/paper/2502.06645"},"observation_digest":"sha256:ca97a01b68a655ffbe6292b5632874ea38e76d572dffeef882c0836991710fa5","observation_id":"23a4fcfd-281f-4c9e-b91f-be78c0b2be10","resolution":{"observed_at":"2026-08-08T14:54:07.159737Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-08T14:54:07.140227Z","title":"Schoellig","venue":null,"work_id":"e8cd450b-d720-4397-bda8-258e6ce412c1","year":2015},"citing_paper":{"arxiv_id":"2502.06645","last_updated":"2025-02-10T16:35:08Z","snapshot_observed_at":"2026-08-08T14:45:33.742639Z","submitted_at":"2025-02-10T16:35:08Z","title":"Koopman-Equivariant Gaussian Processes","version":1},"reference_index":2018,"source":"pdf_text","source_observed_at":"2026-08-08T14:54:04.907603Z"},"links":{"citing_paper":"/paper/2502.06645"},"observation_digest":"sha256:0c109e988c46564dabc3b380d8b9e7de387c04b4e62fd5aa6cc1fc6e320d8ef6","observation_id":"18e20b13-e3b2-4d60-89b3-d52fcaa77200","resolution":{"observed_at":"2026-08-08T14:54:07.144675Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-08T14:54:04.942494Z","title":"doi: 10.1017/9781108380690","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2502.06645","last_updated":"2025-02-10T16:35:08Z","snapshot_observed_at":"2026-08-08T14:45:33.742639Z","submitted_at":"2025-02-10T16:35:08Z","title":"Koopman-Equivariant Gaussian Processes","version":1},"reference_index":2019,"source":"pdf_text","source_observed_at":"2026-08-08T14:54:04.942494Z"},"links":{"citing_paper":"/paper/2502.06645"},"observation_digest":"sha256:13044dab1308c1fc363dc8c52ad73a1bc29761f924650833dd985da2b7c667e3","observation_id":"2cc93b85-e1c6-461d-97d3-cd380382372f","resolution":{"observed_at":"2026-08-08T14:54:04.942494Z","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":"2020.13252","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T14:54:07.005136Z","title":"doi: https://doi.org/10.1016/j.physd.2020.132520","venue":null,"work_id":"786f1e8c-ab32-4556-a13c-beceb8fd2173","year":2020},"citing_paper":{"arxiv_id":"2502.06645","last_updated":"2025-02-10T16:35:08Z","snapshot_observed_at":"2026-08-08T14:45:33.742639Z","submitted_at":"2025-02-10T16:35:08Z","title":"Koopman-Equivariant Gaussian Processes","version":1},"reference_index":2020,"source":"pdf_text","source_observed_at":"2026-08-08T14:54:04.882152Z"},"links":{"citing_paper":"/paper/2502.06645"},"observation_digest":"sha256:370d3fae5a8c778a25fe5bad641d8c4465ddfeed7a8e3ed91f9a835c0d6418a9","observation_id":"ec8d9fc8-d077-4b51-8f29-736805a6ab60","resolution":{"observed_at":"2026-08-08T14:54:07.012566Z","resolver_source":"raw_fallback","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-08T14:54:04.898096Z","title":"Thomas Beckers and Sandra Hirche","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2502.06645","last_updated":"2025-02-10T16:35:08Z","snapshot_observed_at":"2026-08-08T14:45:33.742639Z","submitted_at":"2025-02-10T16:35:08Z","title":"Koopman-Equivariant Gaussian Processes","version":1},"reference_index":2021,"source":"pdf_text","source_observed_at":"2026-08-08T14:54:04.898096Z"},"links":{"citing_paper":"/paper/2502.06645"},"observation_digest":"sha256:fb93cbe673e326728d078c6ba7053a9a1e850189ff186d49288e64ffc7bb401c","observation_id":"c2e18f07-3139-4e0a-a058-8627d77f17d0","resolution":{"observed_at":"2026-08-08T14:54:04.898096Z","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":"2026-08-08T14:54:04.902972Z","title":"Mikhail Belkin","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2502.06645","last_updated":"2025-02-10T16:35:08Z","snapshot_observed_at":"2026-08-08T14:45:33.742639Z","submitted_at":"2025-02-10T16:35:08Z","title":"Koopman-Equivariant Gaussian Processes","version":1},"reference_index":2022,"source":"pdf_text","source_observed_at":"2026-08-08T14:54:04.902972Z"},"links":{"citing_paper":"/paper/2502.06645"},"observation_digest":"sha256:2228d8129e5a6465792f9cca223b5c0471c67dda78b6164191794fee3466dc6a","observation_id":"c706754c-1537-4ada-99b6-3fd3609234bb","resolution":{"observed_at":"2026-08-08T14:54:04.902972Z","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":"2026-08-08T14:54:05.016163Z","title":"Jinwoo Kim, Dat Nguyen, Ayhan Suleymanzade, Hyeokjun An, and Seunghoon Hong","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2502.06645","last_updated":"2025-02-10T16:35:08Z","snapshot_observed_at":"2026-08-08T14:45:33.742639Z","submitted_at":"2025-02-10T16:35:08Z","title":"Koopman-Equivariant Gaussian Processes","version":1},"reference_index":2023,"source":"pdf_text","source_observed_at":"2026-08-08T14:54:05.016163Z"},"links":{"citing_paper":"/paper/2502.06645"},"observation_digest":"sha256:8e66d4d430c122a656492204166f4ed9055d1361a1d38e04ed4647c57203a703","observation_id":"a6965dd3-51c4-4e18-8707-355c5e86f8c7","resolution":{"observed_at":"2026-08-08T14:54:05.016163Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2405.05890","last_updated":"2024-05-09T16:42:39Z","snapshot_observed_at":"2026-07-06T18:12:09.623654Z","submitted_at":"2024-05-09T16:42:39Z","title":"Safe Exploration Using Bayesian World Models and Log-Barrier Optimization","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2405.05890","snapshot_observed_at":"2026-08-08T14:54:04.887777Z","title":"Ralf Banisch and P´ eter Koltai","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2502.06645","last_updated":"2025-02-10T16:35:08Z","snapshot_observed_at":"2026-08-08T14:45:33.742639Z","submitted_at":"2025-02-10T16:35:08Z","title":"Koopman-Equivariant Gaussian Processes","version":1},"reference_index":2024,"source":"pdf_text","source_observed_at":"2026-08-08T14:54:04.887777Z"},"links":{"cited_paper":"/paper/2405.05890","citing_paper":"/paper/2502.06645"},"observation_digest":"sha256:904ed88a115853d23784eb3275a8cd7e7194413323bf3848d37decf9adc41dca","observation_id":"2a489b19-c1cf-4d83-a484-7c5832749bc3","resolution":{"observed_at":"2026-08-08T14:54:04.887777Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2502.06645","last_updated":"2025-02-10T16:35:08Z","latest_version":1,"primary_category":"cs.LG","snapshot_observed_at":"2026-08-08T14:45:33.742639Z","submitted_at":"2025-02-10T16:35:08Z","title":"Koopman-Equivariant Gaussian Processes"},"reference_resolution":{"displayed":58,"state_counts":{"malformed_identifier":0,"metadata_mismatch":11,"parse_uncertain":0,"unresolved":27,"verified_exact":12,"verified_fuzzy":8},"total_outbound_references":58},"refusal":"A citation records a reference. It does not transfer a finding from one paper to another.","schema":"pith.paper-citation-record.v1","standing_sources":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"thesis":"As of 8 August 2026, this Paper Citation Record lists 58 of 58 outbound references and 1 inbound Pith citation observation for arXiv:2502.06645."}