Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-05T19:53:52.579801Z
Paper Citation Record · LEDGER
Reduced-order modeling of Hamiltonian dynamics based on symplectic neural networks
As of 7 August 2026, this Paper Citation Record lists 48 of 48 outbound references and 2 inbound Pith citation observations for arXiv:2508.11911.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-05T19:48:20.688392Z
A source-named dated measurement, never combined with another source.
Source: pith, observed 2026-07-03T12:48:11.229004Z
Reference resolution
48 of 48 outbound references displayed
- verified exact0
- verified fuzzy28
- unresolved20
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation b72acaf1-7a59-4a5f-87c9-e213000db2a4 · outbound
This paper cites an unresolved cited work.
Reduced-order modeling of Hamiltonian dynamics based on symplectic neural networks Unresolved cited work
Reference 1
- Resolution
- unresolved
- raw_fallback, observed 2026-08-05T19:54:04.602976Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation e5bd70b3-0f67-4c3b-a917-91e96672b4cc · outbound
This paper cites Leimkuhler, S.
Reduced-order modeling of Hamiltonian dynamics based on symplectic neural networks Leimkuhler, S
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T19:54:04.333060Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 90da5a49-69ea-4ce3-ae95-39b6d107b789 · outbound
This paper cites Hairer, M.
Reduced-order modeling of Hamiltonian dynamics based on symplectic neural networks Hairer, M
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T19:54:04.002216Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 36d923d7-adeb-4c86-af67-504e9086629e · outbound
This paper cites an unresolved cited work.
Reduced-order modeling of Hamiltonian dynamics based on symplectic neural networks Unresolved cited work
Reference 4
- Resolution
- unresolved
- raw_fallback, observed 2026-08-05T19:54:03.741095Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 0e51996f-13af-4d78-80d8-1a68c47e8d2f · outbound
This paper cites Lubich, C.
Reduced-order modeling of Hamiltonian dynamics based on symplectic neural networks Lubich, C
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T19:54:03.494253Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation bdf48d8b-35ae-4073-af0e-9beefbe1e5ed · outbound
This paper cites Benner, S.
Reduced-order modeling of Hamiltonian dynamics based on symplectic neural networks Benner, S
Reference 6
- Resolution
- unresolved
- no resolver link, observed 2026-08-05T19:53:47.722642Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d2b17f40-d8d8-463c-aeb5-efef43eb74bf · outbound
This paper cites Quarteroni, A.
Reduced-order modeling of Hamiltonian dynamics based on symplectic neural networks Quarteroni, A
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T19:54:03.298739Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 4856231d-ae6f-4c41-8b9d-f5c30b6864f5 · outbound
This paper cites Rouleau, J.-F.
Reduced-order modeling of Hamiltonian dynamics based on symplectic neural networks Rouleau, J.-F
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T19:54:03.035608Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 1d681a8d-7286-4c9b-8c60-70c9a1655fb5 · outbound
This paper cites Bonvin, D.
Reduced-order modeling of Hamiltonian dynamics based on symplectic neural networks Bonvin, D
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T19:54:02.860947Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 6fca0a38-cca0-4556-8eb7-212c8bdddf5b · outbound
This paper cites Moore, Principal component analysis in linear systems: Controllability, observability, and model reduction, IEEE transactions on automatic control 26 (1) (1981) 17–32.
Reduced-order modeling of Hamiltonian dynamics based on symplectic neural networks Moore, Principal component analysis in linear systems: Controllability, observability, and model reduction, IEEE transactions on automatic control 26 (1) (1981) 17–32
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T19:54:02.636856Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 2885d169-c32d-4b0f-a3e3-810c5e298242 · outbound
This paper cites an unresolved cited work.
Reduced-order modeling of Hamiltonian dynamics based on symplectic neural networks Unresolved cited work
Reference 11
- Resolution
- unresolved
- raw_fallback, observed 2026-08-05T19:54:02.412045Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 7b66b435-4ff9-4f4b-896c-87ea40ab3038 · outbound
This paper cites Kunisch, S.
Reduced-order modeling of Hamiltonian dynamics based on symplectic neural networks Kunisch, S
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T19:54:02.175046Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 8fd70b69-3553-4b92-89fb-38671230c13c · outbound
This paper cites Odabasioglu, M.
Reduced-order modeling of Hamiltonian dynamics based on symplectic neural networks Odabasioglu, M
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T19:54:01.844173Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation e96f7da2-ab90-4495-9c5b-40154e41805d · outbound
This paper cites an unresolved cited work.
Reduced-order modeling of Hamiltonian dynamics based on symplectic neural networks Unresolved cited work
Reference 14
- Resolution
- unresolved
- raw_fallback, observed 2026-08-05T19:54:01.578414Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation cf649fa0-0ac1-457f-ac95-9796610dc5be · outbound
This paper cites Bai, Krylov subspace techniques for reduced-order modeling of large-scale dynamical sys- tems, Applied numerical mathematics 43 (1-2) (2002) 9–44.
Reduced-order modeling of Hamiltonian dynamics based on symplectic neural networks Bai, Krylov subspace techniques for reduced-order modeling of large-scale dynamical sys- tems, Applied numerical mathematics 43 (1-2) (2002) 9–44
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T19:54:01.036056Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 0e6eccad-8d43-47be-9209-b1939ad220be · outbound
This paper cites Chaturantabut, D.
Reduced-order modeling of Hamiltonian dynamics based on symplectic neural networks Chaturantabut, D
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T19:54:00.744304Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 1572ea5b-1350-4461-89d3-deccf4a4606f · outbound
This paper cites Drohmann, B.
Reduced-order modeling of Hamiltonian dynamics based on symplectic neural networks Drohmann, B
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T19:54:00.457809Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 4be73852-e2d3-4394-b37c-8a6624edd6c5 · outbound
This paper cites Drmac, S.
Reduced-order modeling of Hamiltonian dynamics based on symplectic neural networks Drmac, S
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T19:54:00.218392Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation c6ad5776-01f5-41d5-adf8-1dd0cd9cb308 · outbound
This paper cites an unresolved cited work.
Reduced-order modeling of Hamiltonian dynamics based on symplectic neural networks Unresolved cited work
Reference 19
- Resolution
- unresolved
- raw_fallback, observed 2026-08-05T19:53:59.929878Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 257b782d-5ebf-468b-b277-68e2035ff763 · outbound
This paper cites Mill´ an, M.
Reduced-order modeling of Hamiltonian dynamics based on symplectic neural networks Mill´ an, M
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T19:53:59.648086Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 769c853f-3b54-453b-9da7-ce4d1da8d469 · outbound
This paper cites Deep convolutional recurrent autoencoders for learning low-dimensional feature dynamics of fluid systems.
Reduced-order modeling of Hamiltonian dynamics based on symplectic neural networks Deep convolutional recurrent autoencoders for learning low-dimensional feature dynamics of fluid systems
Reference 21
- Resolution
- unresolved
- no resolver link, observed 2026-08-05T19:53:49.345604Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation fab7ecd4-6c95-49c8-b24b-dd398dedc414 · outbound
This paper cites Pagani, A.
Reduced-order modeling of Hamiltonian dynamics based on symplectic neural networks Pagani, A
Reference 22
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T19:53:59.302054Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 813717f1-3f0a-4c28-b0b8-deb67e731f65 · outbound
This paper cites an unresolved cited work.
Reduced-order modeling of Hamiltonian dynamics based on symplectic neural networks Unresolved cited work
Reference 23
- Resolution
- unresolved
- raw_fallback, observed 2026-08-05T19:53:59.022300Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation f462bac4-bc44-4fc9-82cb-ae6bd2ead9d1 · outbound
This paper cites an unresolved cited work.
Reduced-order modeling of Hamiltonian dynamics based on symplectic neural networks Unresolved cited work
Reference 24
- Resolution
- unresolved
- raw_fallback, observed 2026-08-05T19:53:58.724561Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation a8ae77de-e9bf-4f67-b16b-89267efc654c · outbound
This paper cites an unresolved cited work.
Reduced-order modeling of Hamiltonian dynamics based on symplectic neural networks Unresolved cited work
Reference 25
- Resolution
- unresolved
- raw_fallback, observed 2026-08-05T19:53:58.485357Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 9e39dd04-a0bf-423e-8d10-50f1a1d8cab8 · outbound
This paper cites an unresolved cited work.
Reduced-order modeling of Hamiltonian dynamics based on symplectic neural networks Unresolved cited work
Reference 26
- Resolution
- unresolved
- raw_fallback, observed 2026-08-05T19:53:58.204184Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 500a9bc1-5c23-480e-a8ed-7dbd937d02b1 · outbound
This paper cites an unresolved cited work.
Reduced-order modeling of Hamiltonian dynamics based on symplectic neural networks Unresolved cited work
Reference 27
- Resolution
- unresolved
- raw_fallback, observed 2026-08-05T19:53:57.876102Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation ec5b631d-cfb3-4cd8-9d0e-b436539c4bbd · outbound
This paper cites Alvarez Loya, D.
Reduced-order modeling of Hamiltonian dynamics based on symplectic neural networks Alvarez Loya, D
Reference 28
- Resolution
- unresolved
- no resolver link, observed 2026-08-05T19:53:50.080912Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation bc8f5e3a-6158-47b9-92b1-2b00c527ff9a · outbound
This paper cites Buchfink, S.
Reduced-order modeling of Hamiltonian dynamics based on symplectic neural networks Buchfink, S
Reference 29
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T19:53:57.592103Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 8fb26ab0-15fe-4d7d-a44a-72682604f355 · outbound
This paper cites Sharma, H.
Reduced-order modeling of Hamiltonian dynamics based on symplectic neural networks Sharma, H
Reference 30
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T19:53:57.319158Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation c287932e-ad00-4368-9b98-6b123dc3314a · outbound
This paper cites an unresolved cited work.
Reduced-order modeling of Hamiltonian dynamics based on symplectic neural networks Unresolved cited work
Reference 31
- Resolution
- unresolved
- raw_fallback, observed 2026-08-05T19:53:56.937156Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation cdad481f-ff97-4321-aad5-d41d86d0a623 · outbound
This paper cites Duruisseaux, J.
Reduced-order modeling of Hamiltonian dynamics based on symplectic neural networks Duruisseaux, J
Reference 32
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T19:53:56.701248Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation ed53f34b-243f-48fb-b68f-57aff7d640ee · outbound
This paper cites an unresolved cited work.
Reduced-order modeling of Hamiltonian dynamics based on symplectic neural networks Unresolved cited work
Reference 33
- Resolution
- unresolved
- raw_fallback, observed 2026-08-05T19:53:56.408734Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 9026ee5b-d8ef-47c5-923a-fa6627e5242f · outbound
This paper cites an unresolved cited work.
Reduced-order modeling of Hamiltonian dynamics based on symplectic neural networks Unresolved cited work
Reference 34
- Resolution
- unresolved
- raw_fallback, observed 2026-08-05T19:53:56.090875Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation dd02b3ac-3430-4fd6-873f-c9f4cd758a4e · outbound
This paper cites Turaev, Polynomial approximations of symplectic dynamics and richness of chaos in non- hyperbolic area-preserving maps, Nonlinearity 16 (1) (2002) 123.
Reduced-order modeling of Hamiltonian dynamics based on symplectic neural networks Turaev, Polynomial approximations of symplectic dynamics and richness of chaos in non- hyperbolic area-preserving maps, Nonlinearity 16 (1) (2002) 123
Reference 35
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T19:53:55.847703Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 968ad587-ae9a-4ac6-9244-20a4ecf05fb0 · outbound
This paper cites Kobyzev, S.
Reduced-order modeling of Hamiltonian dynamics based on symplectic neural networks Kobyzev, S
Reference 36
- Resolution
- unresolved
- no resolver link, observed 2026-08-05T19:53:51.097985Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 6c741ad3-2893-4c54-96ee-da11afc8f0b5 · outbound
This paper cites an unresolved cited work.
Reduced-order modeling of Hamiltonian dynamics based on symplectic neural networks Unresolved cited work
Reference 37
- Resolution
- unresolved
- raw_fallback, observed 2026-08-05T19:53:55.568567Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 7aec8cfc-3479-4e86-8f7a-9accfd6d68f9 · outbound
This paper cites The real symplectic Stiefel and Grassmann manifolds: metrics, geodesics and applications.
Reduced-order modeling of Hamiltonian dynamics based on symplectic neural networks The real symplectic Stiefel and Grassmann manifolds: metrics, geodesics and applications
Reference 38
- Resolution
- unresolved
- no resolver link, observed 2026-08-05T19:53:51.398917Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 508981f7-7e17-46fd-8502-0d7a89468786 · outbound
This paper cites Simpson, N.
Reduced-order modeling of Hamiltonian dynamics based on symplectic neural networks Simpson, N
Reference 39
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T19:53:55.325222Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 5384979b-9ade-46c0-856e-38065aec3fdc · outbound
This paper cites an unresolved cited work.
Reduced-order modeling of Hamiltonian dynamics based on symplectic neural networks Unresolved cited work
Reference 40
- Resolution
- unresolved
- raw_fallback, observed 2026-08-05T19:53:55.099471Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 80c39731-eaff-4995-9b07-33fa349544a2 · outbound
This paper cites Brandstetter, D.
Reduced-order modeling of Hamiltonian dynamics based on symplectic neural networks Brandstetter, D
Reference 41
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T19:53:54.839189Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 26c75c43-36d3-488f-8194-51b99756bb10 · outbound
This paper cites Stachenfeld, D.
Reduced-order modeling of Hamiltonian dynamics based on symplectic neural networks Stachenfeld, D
Reference 42
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T19:53:54.524927Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 76f046d9-9607-4aa8-beb7-9d566f17e847 · outbound
This paper cites Pfaff, M.
Reduced-order modeling of Hamiltonian dynamics based on symplectic neural networks Pfaff, M
Reference 43
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T19:53:54.282612Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 72612774-2bf0-4327-82f9-6a4bc56ec3b3 · outbound
This paper cites Sanchez-Gonzalez, J.
Reduced-order modeling of Hamiltonian dynamics based on symplectic neural networks Sanchez-Gonzalez, J
Reference 44
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T19:53:54.020114Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 3a3bdaa7-a193-41a7-aa1b-84cbd29c7555 · outbound
This paper cites Clevert, T.
Reduced-order modeling of Hamiltonian dynamics based on symplectic neural networks Clevert, T
Reference 45
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T19:53:53.773452Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation eabd92fe-2da8-404c-b9e4-4d94c3fd3f3d · outbound
This paper cites Loshchilov, F.
Reduced-order modeling of Hamiltonian dynamics based on symplectic neural networks Loshchilov, F
Reference 46
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T19:53:53.467082Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation c6d238d0-b35b-4e0a-a326-14d658389396 · outbound
This paper cites Sulem, P.-L.
Reduced-order modeling of Hamiltonian dynamics based on symplectic neural networks Sulem, P.-L
Reference 47
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T19:53:53.223311Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation f29ee3ce-29b2-4539-8a61-cb5a6ff20f96 · outbound
This paper cites Huang, Q.
Reduced-order modeling of Hamiltonian dynamics based on symplectic neural networks Huang, Q
Reference 48
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T19:53:52.918300Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Pith citing papers
Observation a8c213e9-6bc8-4a9c-aae1-5beb383c08ee · inbound
Stability threshold of Couette flow for Boussinesq equations in $\mathbb{R}^2$ cites this paper.
Stability threshold of Couette flow for Boussinesq equations in $\mathbb{R}^2$ Reduced-order modeling of Hamiltonian dynamics based on symplectic neural networks
Reference 1
- Resolution
- unresolved
- no resolver link, observed 2026-08-05T19:48:20.688392Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 5125e6e5-e16c-41d1-bdf3-3308ecf7e438 · inbound
Hyperbolicity-Preserving Stochastic Galerkin Methods for Conservation Laws Based on Associative Truncated Products on Polynomial Spaces cites this paper.
Hyperbolicity-Preserving Stochastic Galerkin Methods for Conservation Laws Based on Associative Truncated Products on Polynomial Spaces Reduced-order modeling of Hamiltonian dynamics based on symplectic neural networks
Reference 97
- Resolution
- verified exact
- local_arxiv, observed 2026-07-03T12:48:11.230417Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.