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Paper Citation Record · LEDGER

Nonlinear model reduction with Neural Galerkin schemes on quadratic manifolds

As of 18 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 2026-08-18T06:34:40.430872+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

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External citation measurements

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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

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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

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

Reference 3

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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

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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

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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

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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

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

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

Reference 8

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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

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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

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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

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

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

Reference 12

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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

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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

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

Reference 15

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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

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

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

Reference 17

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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

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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

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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

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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

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

Reference 22

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

Reference 23

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

Reference 24

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

Reference 25

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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

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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

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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

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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

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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

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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
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Source-reported events for the cited work

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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

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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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

Unavailable: canonical work link unavailable.

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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

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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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

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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

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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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 2026-08-18T06:34:40.430872+00:00.

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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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-11T05:20:03.534088Z digest=sha256:42071b4ad7e125a755b809610ad6c5a2c2fc82cbbd00b93f1a62dcf75785aad9

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-11T05:20:03.538930Z digest=sha256:f7d95f48fa69278d9862be37f722de9c383cbd2c7af3c8774f2a474c7f86c131

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-11T05:20:03.543515Z digest=sha256:dbbf028a081c4b8b174a16b83ac1e5f98039555dc16ddf535489ed75cd3da9d2

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-11T05:20:03.548238Z digest=sha256:e49acd0406f28ee8760365caaf77079f40b583e1b6a1417b070f089cf81c97e6

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-11T05:20:03.552870Z digest=sha256:27314ffc9607d00da77db19d15f02246536da3a26eeb340a26d470ff39f01e6b

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.

source=pdf_text observed=2026-08-11T05:20:03.557451Z digest=sha256:e67ad29be1eda718640ceb1115768de92fbac83d97ffa3a2029378af927c10a2

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-11T05:20:03.562464Z digest=sha256:469be005ed8e0993141ce28fd0184e3de457e0bdd207ec4b00be04d2b5839c8f

Pith citing papers

No inbound Pith citation observations are available.