Paper Citation Record · LEDGER

Nonlinear model reduction with Neural Galerkin schemes on quadratic manifolds

As of 19 August 2026, this Paper Citation Record lists 44 of 44 outbound references and 0 inbound Pith citation observations for arXiv:2412.17695.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2412.17695 v1

Coverage vector

measured 44 of 44 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T05:20:03.562464Z

measured 44 of 44 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: cited_works

Reference resolution

44 of 44 outbound references displayed

verified exact5
verified fuzzy25
unresolved14
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation f467893d-43b6-4277-83db-26e842d1d6ff · outbound

This paper cites Rozza, D.

Nonlinear model reduction with Neural Galerkin schemes on quadratic manifolds Rozza, D

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T05:20:04.288371Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 35952286-40ba-43fc-b8c5-d372478af031 · outbound

This paper cites Benner, S.

Nonlinear model reduction with Neural Galerkin schemes on quadratic manifolds Benner, S

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T05:20:04.274225Z

Source-reported events for the cited work

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Observation f23e2858-7b54-4fb1-a64d-42a7edc35287 · outbound

This paper cites an unresolved cited work.

Nonlinear model reduction with Neural Galerkin schemes on quadratic manifolds Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-08-11T05:20:04.258505Z

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Observation 54955e62-d17f-4969-b17b-a6c0d9573f84 · outbound

This paper cites Peherstorfer, Breaking the Kolmogorov barrier with nonlinear model reduction, Notices of the American Mathematical Society 69 (5) (2022) 725–733.

Nonlinear model reduction with Neural Galerkin schemes on quadratic manifolds Peherstorfer, Breaking the Kolmogorov barrier with nonlinear model reduction, Notices of the American Mathematical Society 69 (5) (2022) 725–733

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T05:20:04.241807Z

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Observation 36e0aab9-8dcb-4989-b46c-d46c198f196f · outbound

This paper cites Bruna, B.

Nonlinear model reduction with Neural Galerkin schemes on quadratic manifolds Bruna, B

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T05:20:04.224864Z

Source-reported events for the cited work

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Observation e71b64b6-a737-4aa9-aa1a-701f001b7a1a · outbound

This paper cites Berman, P.

Nonlinear model reduction with Neural Galerkin schemes on quadratic manifolds Berman, P

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T05:20:04.209887Z

Source-reported events for the cited work

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Observation dfb6194f-5b95-4b6e-86d5-f2a8764b19dd · outbound

This paper cites Sequential-in-time training of nonlinear parametrizations for solving time-dependent partial differential equations.

Nonlinear model reduction with Neural Galerkin schemes on quadratic manifolds Sequential-in-time training of nonlinear parametrizations for solving time-dependent partial differential equations

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-11T05:20:03.378888Z

Source-reported events for the cited work

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Observation e8177ae1-1c36-4466-bdd9-e66585a891d8 · outbound

This paper cites an unresolved cited work.

Nonlinear model reduction with Neural Galerkin schemes on quadratic manifolds Unresolved cited work

Reference 8

Resolution: unresolved; raw_fallback, observed 2026-08-11T05:20:04.194747Z

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Observation 7cdba884-c4ce-4acd-9f09-709084cbe3b4 · outbound

This paper cites Geelen, S.

Nonlinear model reduction with Neural Galerkin schemes on quadratic manifolds Geelen, S

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T05:20:04.178693Z

Source-reported events for the cited work

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Observation a150371d-4fe1-4c9b-a10f-344fe64f578f · outbound

This paper cites Barnett, C.

Nonlinear model reduction with Neural Galerkin schemes on quadratic manifolds Barnett, C

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T05:20:04.160702Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 40f025ca-f4cc-407c-8cee-b8ebd61d9b61 · outbound

This paper cites Barrault, Y.

Nonlinear model reduction with Neural Galerkin schemes on quadratic manifolds Barrault, Y

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T05:20:04.145728Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation d38b5069-e442-4295-9eaf-0ff968e0cacf · outbound

This paper cites an unresolved cited work.

Nonlinear model reduction with Neural Galerkin schemes on quadratic manifolds Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-08-11T05:20:04.130223Z

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Observation 4d98002f-f4e4-4ef6-8bcb-e08d8bb4ceaf · outbound

This paper cites Frenkel, Wave Mechanics, Advanced General Theory, Clarendon Press, Oxford, 1934.

Nonlinear model reduction with Neural Galerkin schemes on quadratic manifolds Frenkel, Wave Mechanics, Advanced General Theory, Clarendon Press, Oxford, 1934

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T05:20:04.115207Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 1ee25dbf-0ad0-4988-8ec4-8e88d7dbab55 · outbound

This paper cites Lubich, From quantum to classical molecular dynamics: reduced models and numerical anal- ysis, Vol.

Nonlinear model reduction with Neural Galerkin schemes on quadratic manifolds Lubich, From quantum to classical molecular dynamics: reduced models and numerical anal- ysis, Vol

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T05:20:04.099356Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 6f924bd0-0605-4678-92a5-5f13f1f750d7 · outbound

This paper cites an unresolved cited work.

Nonlinear model reduction with Neural Galerkin schemes on quadratic manifolds Unresolved cited work

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-11T05:20:03.417656Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 80ae422f-13f1-4f55-9f49-992d6b0981b3 · outbound

This paper cites Black, P.

Nonlinear model reduction with Neural Galerkin schemes on quadratic manifolds Black, P

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T05:20:04.075899Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation eabe9731-ed08-4070-8f77-4f7849cf922e · outbound

This paper cites an unresolved cited work.

Nonlinear model reduction with Neural Galerkin schemes on quadratic manifolds Unresolved cited work

Reference 17

Resolution: unresolved; raw_fallback, observed 2026-08-11T05:20:04.060710Z

Source-reported events for the cited work

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Observation fda954d0-d8a8-447c-9f17-a5d06cbcbe30 · outbound

This paper cites Anderson, M.

Nonlinear model reduction with Neural Galerkin schemes on quadratic manifolds Anderson, M

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T05:20:04.046450Z

Source-reported events for the cited work

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Observation 202b83a8-872f-401b-b024-26105fb76c9d · outbound

This paper cites Positional Embeddings for Solving PDEs with Evolutional Deep Neural Networks.

Nonlinear model reduction with Neural Galerkin schemes on quadratic manifolds Positional Embeddings for Solving PDEs with Evolutional Deep Neural Networks

Reference 19

Resolution: verified exact; local_arxiv, observed 2026-08-11T05:20:03.715232Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation a80c5513-f361-49bf-be68-11640edec1bc · outbound

This paper cites Structure-Preserving Model Reduction for Port-Hamiltonian Systems Based on a Special Class of Nonlinear Approximation Ansatzes.

Nonlinear model reduction with Neural Galerkin schemes on quadratic manifolds Structure-Preserving Model Reduction for Port-Hamiltonian Systems Based on a Special Class of Nonlinear Approximation Ansatzes

Reference 20

Resolution: verified exact; local_arxiv, observed 2026-08-11T05:20:03.693204Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation ac3a5fa3-a1cc-4989-be00-f19a6da7ebca · outbound

This paper cites Lasser, C.

Nonlinear model reduction with Neural Galerkin schemes on quadratic manifolds Lasser, C

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T05:20:04.031897Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 08507a60-13d5-42f5-8bd9-9334238de91b · outbound

This paper cites an unresolved cited work.

Nonlinear model reduction with Neural Galerkin schemes on quadratic manifolds Unresolved cited work

Reference 22

Resolution: unresolved; raw_fallback, observed 2026-08-11T05:20:04.017230Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 69865119-8dda-490f-817f-14e813beeb23 · outbound

This paper cites an unresolved cited work.

Nonlinear model reduction with Neural Galerkin schemes on quadratic manifolds Unresolved cited work

Reference 23

Resolution: unresolved; raw_fallback, observed 2026-08-11T05:20:04.002761Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation bf6d7b33-6fe7-4e0c-a7e6-ea76666143f9 · outbound

This paper cites an unresolved cited work.

Nonlinear model reduction with Neural Galerkin schemes on quadratic manifolds Unresolved cited work

Reference 24

Resolution: unresolved; raw_fallback, observed 2026-08-11T05:20:03.987470Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation fc2373dd-9492-48bc-9371-f4cbadee7b29 · outbound

This paper cites an unresolved cited work.

Nonlinear model reduction with Neural Galerkin schemes on quadratic manifolds Unresolved cited work

Reference 25

Resolution: unresolved; raw_fallback, observed 2026-08-11T05:20:03.971986Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 5d336e85-83cb-46a7-8039-0492a824c646 · outbound

This paper cites Hyper-Reduced Autoencoders for Efficient and Accurate Nonlinear Model Reductions.

Nonlinear model reduction with Neural Galerkin schemes on quadratic manifolds Hyper-Reduced Autoencoders for Efficient and Accurate Nonlinear Model Reductions

Reference 26

Resolution: verified exact; local_arxiv, observed 2026-08-11T05:20:03.670711Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation daedffeb-15af-40b4-a24f-75fdd53799b0 · outbound

This paper cites Romor, G.

Nonlinear model reduction with Neural Galerkin schemes on quadratic manifolds Romor, G

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T05:20:03.955867Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation b1dc5f60-fd4d-4c4d-9015-fbbb0652f924 · outbound

This paper cites Berman, B.

Nonlinear model reduction with Neural Galerkin schemes on quadratic manifolds Berman, B

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T05:20:03.937565Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation bbf95fea-b5dc-4d75-af13-5ac8ed19f831 · outbound

This paper cites Berman, B.

Nonlinear model reduction with Neural Galerkin schemes on quadratic manifolds Berman, B

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T05:20:03.923367Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation b918bc82-7db4-48be-bc00-acf74191ef5d · outbound

This paper cites Rutzmoser, D.

Nonlinear model reduction with Neural Galerkin schemes on quadratic manifolds Rutzmoser, D

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T05:20:03.908327Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation e1b87b95-badb-402d-a652-203e88369dfc · outbound

This paper cites Geelen, L.

Nonlinear model reduction with Neural Galerkin schemes on quadratic manifolds Geelen, L

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T05:20:03.892435Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation af8b1f27-7809-42cd-a96e-fc5c0180430e · outbound

This paper cites Geelen, L.

Nonlinear model reduction with Neural Galerkin schemes on quadratic manifolds Geelen, L

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T05:20:03.875348Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 2295908a-6f88-4b5a-abb3-aa05f24a1b90 · outbound

This paper cites Sharma, H.

Nonlinear model reduction with Neural Galerkin schemes on quadratic manifolds Sharma, H

Reference 33

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Source-reported events for the cited work

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Observation 5a2a3555-53c6-406e-8efb-80f08f9e27c7 · outbound

This paper cites Cohen, C.

Nonlinear model reduction with Neural Galerkin schemes on quadratic manifolds Cohen, C

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T05:20:03.849555Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 04144724-92b8-46e2-8474-1df94300246b · outbound

This paper cites Benner, P.

Nonlinear model reduction with Neural Galerkin schemes on quadratic manifolds Benner, P

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T05:20:03.832258Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 061fb1d2-0b6d-4ad2-9ad3-742a05983a6f · outbound

This paper cites Greedy construction of quadratic manifolds for nonlinear dimensionality reduction and nonlinear model reduction.

Nonlinear model reduction with Neural Galerkin schemes on quadratic manifolds Greedy construction of quadratic manifolds for nonlinear dimensionality reduction and nonlinear model reduction

Reference 36

Resolution: unresolved; no resolver link, observed 2026-08-11T05:20:03.522527Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1e5553f3-5e88-4001-9b1b-5e78e8c3756e · outbound

This paper cites Online learning of quadratic manifolds from streaming data for nonlinear dimensionality reduction and nonlinear model reduction.

Nonlinear model reduction with Neural Galerkin schemes on quadratic manifolds Online learning of quadratic manifolds from streaming data for nonlinear dimensionality reduction and nonlinear model reduction

Reference 37

Resolution: verified exact; local_arxiv, observed 2026-08-11T05:20:03.633455Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 6aa94880-20b5-477e-8274-10c96d472316 · outbound

This paper cites Goyal, P.

Nonlinear model reduction with Neural Galerkin schemes on quadratic manifolds Goyal, P

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T05:20:03.817084Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation c28daa2a-1c28-4229-9ce9-075c53a55f81 · outbound

This paper cites Ballout, Y.

Nonlinear model reduction with Neural Galerkin schemes on quadratic manifolds Ballout, Y

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T05:20:03.801880Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation f5845be9-7230-416d-9ef1-5c69c91e2357 · outbound

This paper cites Empirical sparse regression on quadratic manifolds.

Nonlinear model reduction with Neural Galerkin schemes on quadratic manifolds Empirical sparse regression on quadratic manifolds

Reference 40

Resolution: verified exact; local_arxiv, observed 2026-08-11T05:20:03.610704Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation fd93e608-adbc-4a6a-9e43-f01307e1cbf1 · outbound

This paper cites Barnett, C.

Nonlinear model reduction with Neural Galerkin schemes on quadratic manifolds Barnett, C

Reference 41

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T05:20:03.786759Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation a3908a55-6709-4059-ae31-b5f55b6feb61 · outbound

This paper cites an unresolved cited work.

Nonlinear model reduction with Neural Galerkin schemes on quadratic manifolds Unresolved cited work

Reference 42

Resolution: unresolved; raw_fallback, observed 2026-08-11T05:20:03.771292Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 3d01fb61-a649-460f-9e12-c34f9b10dd3e · outbound

This paper cites an unresolved cited work.

Nonlinear model reduction with Neural Galerkin schemes on quadratic manifolds Unresolved cited work

Reference 43

Resolution: unresolved; no resolver link, observed 2026-08-11T05:20:03.557451Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 732d88d5-611d-45be-8a28-4d41f32a65e3 · outbound

This paper cites Schwerdtner, P.

Nonlinear model reduction with Neural Galerkin schemes on quadratic manifolds Schwerdtner, P

Reference 44

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T05:20:03.747017Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Pith citing papers

No inbound Pith citation observations are available.