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Source: paper_references, paper_reference_links, observed 2026-05-24T01:10:46.681455Z
Paper Citation Record · LEDGER
As of 4 August 2026, this Paper Citation Record lists 66 of 66 outbound references and 2 inbound Pith citation observations for arXiv:2405.07432.
A citation records a reference. It does not transfer a finding from one paper to another.
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Source: paper_references, paper_reference_links, observed 2026-05-24T01:10:46.681455Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-04T06:34:03.388597+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-06-27T12:42:40.577718Z
A source-named dated measurement, never combined with another source.
Source: pith, observed 2026-07-03T06:17:42.564635Z
66 of 66 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation a654c649-c9a6-4717-b9df-d41a7163a6bd · outbound
Nonparametric Sparse Online Learning of the Koopman Operator Our algorithm builds on stochastic operator gradient descent (SOGD) for U to solve the regression problem in (3.4)
Reference 1
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No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation a98c10ee-b032-494e-9f7e-f167be4d2701 · outbound
Nonparametric Sparse Online Learning of the Koopman Operator Following Section 4, we make the following assumption on the regularity ofK, which encodes the regularity of the Markov kernel
Reference 2
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No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation ad371a99-bfa4-4fa0-b7b9-448ecf24fa6c · outbound
Nonparametric Sparse Online Learning of the Koopman Operator Unresolved cited work
Reference 3
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation 49b94240-689c-4340-867d-4fe95c20c86b · outbound
Nonparametric Sparse Online Learning of the Koopman Operator Unresolved cited work
Reference 4
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation 569945cc-ba0c-4e14-a6da-416d1c288ba8 · outbound
Nonparametric Sparse Online Learning of the Koopman Operator Our method does not require the RKHS to be closed under the Markov kernel
Reference 5
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No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation eda677af-b608-4730-b1c9-a2fa413402b1 · outbound
Nonparametric Sparse Online Learning of the Koopman Operator Bach and E
Reference 6
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation 93c40ec7-84ad-44c9-b00a-a0a8b9487fa6 · outbound
Nonparametric Sparse Online Learning of the Koopman Operator Berlinet and C
Reference 7
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation d47993b9-2090-4e41-ac1e-cef388cd3d1b · outbound
Nonparametric Sparse Online Learning of the Koopman Operator Bevanda, M
Reference 8
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation a0a366db-7f56-475a-bd22-18bf5a2addf2 · outbound
Nonparametric Sparse Online Learning of the Koopman Operator Unresolved cited work
Reference 9
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation 07eb0c05-586d-412f-a997-56a1459ac96a · outbound
Nonparametric Sparse Online Learning of the Koopman Operator OpenAI Gym
Reference 10
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation 0d3557bd-b50b-4636-b2df-94c8567881c7 · outbound
Nonparametric Sparse Online Learning of the Koopman Operator Unresolved cited work
Reference 11
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation 71bf6c91-2ca2-4316-9cb1-b05565a6bdec · outbound
Nonparametric Sparse Online Learning of the Koopman Operator Budisi´c, R
Reference 12
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation 19f3076b-fc42-40ee-9ed2-7a3b6f43adfb · outbound
Nonparametric Sparse Online Learning of the Koopman Operator Unresolved cited work
Reference 13
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation e784900b-1b9b-41a3-80d8-c33713b11b54 · outbound
Nonparametric Sparse Online Learning of the Koopman Operator Ciliberto, L
Reference 14
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation 5fdca94a-e29f-4e76-a6d5-d20047624451 · outbound
Nonparametric Sparse Online Learning of the Koopman Operator Adversarial dynamical systems characterize when data-driven learning succeeds or fails
Reference 15
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No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation 401f9055-a329-4461-91df-e80a1f0f359c · outbound
Nonparametric Sparse Online Learning of the Koopman Operator Dinculeanu,Vector integration and stochastic integration in Banach spaces, vol
Reference 16
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation c80caed7-28b1-455a-bb6c-f8adfb8c5d03 · outbound
Nonparametric Sparse Online Learning of the Koopman Operator Fischer and I
Reference 17
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation f736437c-3c7a-4e07-89b8-76ee1ab4c20f · outbound
Nonparametric Sparse Online Learning of the Koopman Operator Giannakis, A
Reference 18
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation 122e9369-7ebb-4c03-92a7-39ed89febf3f · outbound
Nonparametric Sparse Online Learning of the Koopman Operator Gr¨unew¨alder, G
Reference 19
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation fa26beb4-4be7-42d8-bd02-5d8abe734f4a · outbound
Nonparametric Sparse Online Learning of the Koopman Operator Grunewalder, G
Reference 20
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation 120345dc-6858-4fca-8cdb-47464e043aef · outbound
Nonparametric Sparse Online Learning of the Koopman Operator Unresolved cited work
Reference 21
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation 58e4493b-e044-4fc2-9c26-7b286891ccbc · outbound
Nonparametric Sparse Online Learning of the Koopman Operator Unresolved cited work
Reference 22
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation 6d18bbff-07fb-47ff-af63-05101e504145 · outbound
Nonparametric Sparse Online Learning of the Koopman Operator Unresolved cited work
Reference 23
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation f1e33686-1636-4b7b-bce2-9544cd2ce742 · outbound
Nonparametric Sparse Online Learning of the Koopman Operator Unresolved cited work
Reference 24
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation b401f2df-b027-4a04-bf94-c7a6a1bda3b6 · outbound
Nonparametric Sparse Online Learning of the Koopman Operator Nonparametric Sparse Online Learning of the Koopman Operator
Reference 25
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation d03833ca-d30b-4e19-97f1-4040260d3c44 · outbound
Nonparametric Sparse Online Learning of the Koopman Operator Unresolved cited work
Reference 26
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation efa00c76-b2c7-4437-9df9-247f3f4478c5 · outbound
Nonparametric Sparse Online Learning of the Koopman Operator Kato,Perturbation theory for linear operators, vol
Reference 27
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation e378d33d-c13f-42bd-9199-6329d1fc8b08 · outbound
Nonparametric Sparse Online Learning of the Koopman Operator Kawahara,Dynamic mode decomposition with reproducing kernels for koop- man spectral analysis, Advances in neural information processing systems, 29 (2016)
Reference 28
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation f6358156-5962-4e70-b6f6-f8227d857116 · outbound
Nonparametric Sparse Online Learning of the Koopman Operator Unresolved cited work
Reference 29
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation bc729c53-6915-46d0-8fb8-89a0168a499d · outbound
Nonparametric Sparse Online Learning of the Koopman Operator Unresolved cited work
Reference 30
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation cf8d6802-f0e9-47b1-b9dc-0050d627e4e6 · outbound
Nonparametric Sparse Online Learning of the Koopman Operator Towards tensor-based methods for the numerical approximation of the Perron-Frobenius and Koopman operator
Reference 31
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation 086c9594-98c2-461e-8d12-c734d3c89eed · outbound
Nonparametric Sparse Online Learning of the Koopman Operator K¨ohne, F
Reference 32
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation f7f84406-ae78-48b9-b315-6a5fad4e6acf · outbound
Nonparametric Sparse Online Learning of the Koopman Operator Kontoyiannis and S
Reference 33
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation 10deadd3-3d60-4902-b020-ed5b168e54a0 · outbound
Nonparametric Sparse Online Learning of the Koopman Operator Unresolved cited work
Reference 34
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation 585cf192-5db1-4312-b4a6-1915abce3b3d · outbound
Nonparametric Sparse Online Learning of the Koopman Operator Koppel, G
Reference 35
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation fce87ade-786c-41cf-8516-308b66fbcf7c · outbound
Nonparametric Sparse Online Learning of the Koopman Operator Kostic, K
Reference 36
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation 9e3f91c8-c6bb-437a-a5f0-5d240e931b49 · outbound
Nonparametric Sparse Online Learning of the Koopman Operator Kostic, P
Reference 37
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation 63dd2d8d-9e07-4d0d-a0a7-3d6427e7aca9 · outbound
Nonparametric Sparse Online Learning of the Koopman Operator Lasota and M
Reference 38
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation ab4efcbe-d3bb-47fc-b7dd-e3128091b9f4 · outbound
Nonparametric Sparse Online Learning of the Koopman Operator Unresolved cited work
Reference 39
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation d646e831-8c40-4e34-9b19-56e988e221d1 · outbound
Nonparametric Sparse Online Learning of the Koopman Operator Unresolved cited work
Reference 40
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation 2fb1326e-2b0c-4cd7-a166-85a1c3dbda07 · outbound
Nonparametric Sparse Online Learning of the Koopman Operator Unresolved cited work
Reference 41
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation 2869be47-1369-42d4-812d-24a89e73f151 · outbound
Nonparametric Sparse Online Learning of the Koopman Operator Unresolved cited work
Reference 42
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation 8ce0138e-4def-4bf0-b089-9818bb04d85d · outbound
Nonparametric Sparse Online Learning of the Koopman Operator Unresolved cited work
Reference 43
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation 1e447229-0809-42b8-bfcf-5977d238f53a · outbound
Nonparametric Sparse Online Learning of the Koopman Operator Mezi´c,Spectral properties of dynamical systems, model reduction and decom- positions, Nonlinear Dynamics, 41 (2005), pp
Reference 44
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation e40d5d0f-630f-4b49-9129-2186f374bebb · outbound
Nonparametric Sparse Online Learning of the Koopman Operator Mezi´c,Spectrum of the koopman operator, spectral expansions in functional spaces, and state-space geometry, Journal of Nonlinear Science, 30 (2020), pp
Reference 45
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation 5f91e90c-a712-45ce-b1df-1354ee93b9cb · outbound
Nonparametric Sparse Online Learning of the Koopman Operator Mezi ´c,Koopman operator, geometry, and learning of dynamical systems, Notices of the American Mathematical Society, 68 (2021), pp
Reference 46
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation 2616cfde-baf4-4230-b805-795462533d56 · outbound
Nonparametric Sparse Online Learning of the Koopman Operator Nonparametric approximation of conditional expectation operators
Reference 47
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation cf27cf5a-4c3f-4606-8130-c0adb1924cc6 · outbound
Nonparametric Sparse Online Learning of the Koopman Operator Nummelin,General irreducible Markov chains and non-negative operators, no
Reference 48
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation 031aa4e0-b03d-4642-a514-eb0052f4845a · outbound
Nonparametric Sparse Online Learning of the Koopman Operator Unresolved cited work
Reference 49
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation 822a87b0-3f31-45ba-a6ab-1e2102d92f93 · outbound
Nonparametric Sparse Online Learning of the Koopman Operator Park and K
Reference 50
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation 6a472b44-9f27-4cc9-96d1-b19859ae0dff · outbound
Nonparametric Sparse Online Learning of the Koopman Operator Poincar´e,Les m´ ethodes nouvelles de la m´ ecanique c´ eleste, vol
Reference 51
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation b4e3d59c-aed3-4735-911b-5065c520724e · outbound
Nonparametric Sparse Online Learning of the Koopman Operator Robbins and D
Reference 52
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation f2ea3d41-f564-4a5c-a9d3-7c5cc341dad4 · outbound
Nonparametric Sparse Online Learning of the Koopman Operator Unresolved cited work
Reference 53
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation cabe3070-52b9-4704-9e03-46fc58844bec · outbound
Nonparametric Sparse Online Learning of the Koopman Operator Unresolved cited work
Reference 54
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation cc264d97-8230-4a8e-9613-e0c7581a534c · outbound
Nonparametric Sparse Online Learning of the Koopman Operator Rudin,Functional Analysis, International series in pure and applied mathematics, McGraw-Hill, 1991, https://books.google.com/books?id=Sh vAAAAMAAJ
Reference 55
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation 30679dfa-c21e-47de-aa03-f5a41e5ef87e · outbound
Nonparametric Sparse Online Learning of the Koopman Operator Unresolved cited work
Reference 56
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation 90433a26-340b-4274-8315-fbfc4ef3ef86 · outbound
Nonparametric Sparse Online Learning of the Koopman Operator Smale and D.-X
Reference 57
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation dd0cbe40-38f0-4dda-8926-f704c98e57d2 · outbound
Nonparametric Sparse Online Learning of the Koopman Operator Unresolved cited work
Reference 58
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation 257ef7f3-c21b-4906-bc9d-3e3f1fed2a7b · outbound
Nonparametric Sparse Online Learning of the Koopman Operator Srikant and L
Reference 59
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation 843dec1b-0898-41fc-9383-113d06655c4f · outbound
Nonparametric Sparse Online Learning of the Koopman Operator Steinwart and C
Reference 60
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation 4391046f-35b6-4176-a0e8-7beaa91f2944 · outbound
Nonparametric Sparse Online Learning of the Koopman Operator Tarres and Y
Reference 61
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation fc4c2c9c-672f-4c99-b3d9-f921d663a426 · outbound
Nonparametric Sparse Online Learning of the Koopman Operator Vincent and Y
Reference 62
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation 5d8a0f1d-6d7c-45ec-b9a6-fd07e04d2368 · outbound
Nonparametric Sparse Online Learning of the Koopman Operator Unresolved cited work
Reference 63
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation 4a491fe6-48d5-4dac-87dd-8ec4aa7efbd9 · outbound
Nonparametric Sparse Online Learning of the Koopman Operator Unresolved cited work
Reference 64
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation 39a871db-bf14-417a-8e4e-4da66385fc7e · outbound
Nonparametric Sparse Online Learning of the Koopman Operator Unresolved cited work
Reference 65
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation ef90bd88-c70c-45a0-a22a-8e16146830d7 · outbound
Nonparametric Sparse Online Learning of the Koopman Operator Zhang, C
Reference 66
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation b401f2df-b027-4a04-bf94-c7a6a1bda3b6 · inbound
Nonparametric Sparse Online Learning of the Koopman Operator Nonparametric Sparse Online Learning of the Koopman Operator
Reference 25
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation 472cbbc1-9f57-4e8a-97b4-999abb9a1797 · inbound
Koopman Modeling and Stabilization of Discrete-Time Nonlinear Control Systems: Bilinearity on a Reproducing Kernel Hilbert Space Nonparametric Sparse Online Learning of the Koopman Operator
Reference 20
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No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.