Paper Citation Record · LEDGER

Structure-Preserving Reduced-Order Modeling via Low-Rank Transport Signatures

As of 23 August 2026, this Paper Citation Record lists 32 of 32 outbound references and 0 inbound Pith citation observations for arXiv:2607.01696.

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

pith.paper-citation-record.v1
2607.01696 v1

Coverage vector

measured 32 of 32 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-03T08:24:46.004535Z

measured 32 of 32 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-23T06:30:58.430688+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

32 of 32 outbound references displayed

verified exact1
verified fuzzy29
unresolved2
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation d00c452b-16db-494c-aa7e-5ce6604fd278 · outbound

This paper cites Maximal volume matrix cross ap- proximation for image compression and least squares solution.

Structure-Preserving Reduced-Order Modeling via Low-Rank Transport Signatures Maximal volume matrix cross ap- proximation for image compression and least squares solution

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-07-05T10:50:58.470495Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 4935104d-ac79-45fc-9100-25877885510a · outbound

This paper cites Gradient flows.

Structure-Preserving Reduced-Order Modeling via Low-Rank Transport Signatures Gradient flows

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-07-05T10:50:58.472289Z

Source-reported events for the cited work

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Observation a2194e35-451b-4dee-b727-0b84377eb167 · outbound

This paper cites Wasserstein model reduction approach for parametrized flow problems in porous media.

Structure-Preserving Reduced-Order Modeling via Low-Rank Transport Signatures Wasserstein model reduction approach for parametrized flow problems in porous media

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-07-05T10:50:58.474077Z

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Observation b2c92e61-a31d-4784-a194-22047e0b1c5c · outbound

This paper cites Model Reduction and Approximation: Theory and Algorithms , volume 15 of Computational Science and Engineering.

Structure-Preserving Reduced-Order Modeling via Low-Rank Transport Signatures Model Reduction and Approximation: Theory and Algorithms , volume 15 of Computational Science and Engineering

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-07-05T10:50:58.477851Z

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Observation 356602d4-12ad-4cd2-b830-f16e5dc5b1a7 · outbound

This paper cites Bernard, A.

Structure-Preserving Reduced-Order Modeling via Low-Rank Transport Signatures Bernard, A

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-07-05T10:50:58.475751Z

Source-reported events for the cited work

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Observation a8a4a6fb-b9a2-40ce-b8f0-0f0a87ace235 · outbound

This paper cites A registration method for reduced basis problems using linear optimal transport.

Structure-Preserving Reduced-Order Modeling via Low-Rank Transport Signatures A registration method for reduced basis problems using linear optimal transport

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-07-05T10:50:58.466925Z

Source-reported events for the cited work

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Observation b508667e-d189-4426-ae63-eda2e89d90ba · outbound

This paper cites Polar factorization and monotone rearrangement of vector-valued func- tions.

Structure-Preserving Reduced-Order Modeling via Low-Rank Transport Signatures Polar factorization and monotone rearrangement of vector-valued func- tions

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-07-05T10:50:58.458846Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 70359b9c-b061-4bb6-9057-281842f09898 · outbound

This paper cites Nonparametric regression on low-dimensional manifolds using deep ReLU networks: Function approximation and statistical recovery.

Structure-Preserving Reduced-Order Modeling via Low-Rank Transport Signatures Nonparametric regression on low-dimensional manifolds using deep ReLU networks: Function approximation and statistical recovery

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-07-05T10:50:58.456595Z

Source-reported events for the cited work

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Observation 5ebd120a-a9d9-4c0f-8a26-a5c662400a8d · outbound

This paper cites Double greedy algorithms: Reduced basis methods for transport dominated problems.

Structure-Preserving Reduced-Order Modeling via Low-Rank Transport Signatures Double greedy algorithms: Reduced basis methods for transport dominated problems

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-07-05T10:50:58.460635Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation f0e12136-7541-4f27-b616-97870c50f699 · outbound

This paper cites Sparse wasserstein barycenters and appli- cation to reduced order modeling.

Structure-Preserving Reduced-Order Modeling via Low-Rank Transport Signatures Sparse wasserstein barycenters and appli- cation to reduced order modeling

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-07-05T10:50:58.452809Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 1a331a4f-d53d-4139-9a64-4cdb1da911d5 · outbound

This paper cites Non- linear model reduction on metric spaces.

Structure-Preserving Reduced-Order Modeling via Low-Rank Transport Signatures Non- linear model reduction on metric spaces

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-07-05T10:50:58.450682Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation a037bea9-2286-454e-ba4c-b1a2dabd4155 · outbound

This paper cites A comprehensive deep learning-based approach to reduced order modeling of nonlinear time-dependent parametrized PDEs.

Structure-Preserving Reduced-Order Modeling via Low-Rank Transport Signatures A comprehensive deep learning-based approach to reduced order modeling of nonlinear time-dependent parametrized PDEs

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-07-05T10:50:58.454701Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation f1aa59e3-2147-4f00-93a3-15faf1e4bbe5 · outbound

This paper cites Goreinov, Ivan V.

Structure-Preserving Reduced-Order Modeling via Low-Rank Transport Signatures Goreinov, Ivan V

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-07-05T10:50:58.463013Z

Source-reported events for the cited work

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Observation 0775d4f6-d36c-4d94-b09b-65d9b9ddc5f1 · outbound

This paper cites Goreinov and Eugene E.

Structure-Preserving Reduced-Order Modeling via Low-Rank Transport Signatures Goreinov and Eugene E

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-07-05T10:50:58.468622Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 959fae28-a677-4e52-8383-863b1b821a6c · outbound

This paper cites Goreinov, Eugene E.

Structure-Preserving Reduced-Order Modeling via Low-Rank Transport Signatures Goreinov, Eugene E

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-07-05T10:50:58.444920Z

Source-reported events for the cited work

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Observation 0513cd6a-9ecb-4388-89ab-5b84b9dd9c84 · outbound

This paper cites Hesthaven, Cecilia Pagliantini, and Gianluigi Rozza.

Structure-Preserving Reduced-Order Modeling via Low-Rank Transport Signatures Hesthaven, Cecilia Pagliantini, and Gianluigi Rozza

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-07-05T10:50:58.442723Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation e91e168b-f89d-4632-b906-13ce019bccb3 · outbound

This paper cites Nonlinear model reduc- tion for transport-dominated problems.

Structure-Preserving Reduced-Order Modeling via Low-Rank Transport Signatures Nonlinear model reduc- tion for transport-dominated problems

Reference 17

Resolution: verified exact; arxiv_id, observed 2026-07-03T08:27:48.636010Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 34427536-444e-431e-bbd9-b5732e698e75 · outbound

This paper cites Hesthaven, Gianluigi Rozza, and Benjamin Stamm.

Structure-Preserving Reduced-Order Modeling via Low-Rank Transport Signatures Hesthaven, Gianluigi Rozza, and Benjamin Stamm

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-07-05T10:50:58.446811Z

Source-reported events for the cited work

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Observation 9adf805f-b017-4b3b-93af-16c72aa33792 · outbound

This paper cites A fast approach to optimal transport: the back-and- forth method.

Structure-Preserving Reduced-Order Modeling via Low-Rank Transport Signatures A fast approach to optimal transport: the back-and- forth method

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-07-05T10:50:58.441098Z

Source-reported events for the cited work

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Observation 2e9b4eb9-2f37-4d9c-be54-a501bd4764ef · outbound

This paper cites The variational formulation of the Fokker–Planck equation.

Structure-Preserving Reduced-Order Modeling via Low-Rank Transport Signatures The variational formulation of the Fokker–Planck equation

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-07-05T10:50:58.448923Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation dd605556-b0d3-4b59-9c48-f266b3c96c1a · outbound

This paper cites Optimal transport-based displacement interpolation with data augmentation for reduced order modeling of nonlinear dynamical systems.

Structure-Preserving Reduced-Order Modeling via Low-Rank Transport Signatures Optimal transport-based displacement interpolation with data augmentation for reduced order modeling of nonlinear dynamical systems

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-07-05T10:50:58.464862Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 7a97676c-a62a-4fad-a00d-67c1e393230c · outbound

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Structure-Preserving Reduced-Order Modeling via Low-Rank Transport Signatures Unresolved cited work

Reference 22

Resolution: unresolved; raw_fallback, observed 2026-07-05T10:50:58.436984Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation e31c45fb-738e-4730-8397-d078f2ed3f14 · outbound

This paper cites Tosun, John A.

Structure-Preserving Reduced-Order Modeling via Low-Rank Transport Signatures Tosun, John A

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-07-05T10:50:58.430554Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 5815be70-86e0-4b43-8758-c5f6e29cdcb8 · outbound

This paper cites Quantitative stability of optimal transport maps and linearization of the 2-wasserstein space.

Structure-Preserving Reduced-Order Modeling via Low-Rank Transport Signatures Quantitative stability of optimal transport maps and linearization of the 2-wasserstein space

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-07-05T10:50:58.432838Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 76332669-e5c8-4d32-9b4a-bb27ec8b7171 · outbound

This paper cites A reduced basis method by means of transport maps for a fluid–structure interaction problem with slowly decaying kolmogorov n-width.

Structure-Preserving Reduced-Order Modeling via Low-Rank Transport Signatures A reduced basis method by means of transport maps for a fluid–structure interaction problem with slowly decaying kolmogorov n-width

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-07-05T10:50:58.426836Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation ba0e5743-c3d7-48ff-a514-d7abca133631 · outbound

This paper cites Model reduction for transport-dominated problems via on- line adaptive bases and adaptive sampling.

Structure-Preserving Reduced-Order Modeling via Low-Rank Transport Signatures Model reduction for transport-dominated problems via on- line adaptive bases and adaptive sampling

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-07-05T10:50:58.423670Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 23ac0f97-a725-4493-b355-57fcfaa0c5b4 · outbound

This paper cites Computational optimal transport.

Structure-Preserving Reduced-Order Modeling via Low-Rank Transport Signatures Computational optimal transport

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-07-05T10:50:58.428712Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation f3ddb491-0524-4667-bfe5-2abafbc00ca0 · outbound

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Structure-Preserving Reduced-Order Modeling via Low-Rank Transport Signatures Unresolved cited work

Reference 28

Resolution: unresolved; raw_fallback, observed 2026-07-05T10:50:58.435191Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation d41d85ad-ae80-4844-afe5-ef04bd963706 · outbound

This paper cites Optimal Transport for Applied Mathematicians: Calculus of Variations, PDEs, and Modeling , volume 87 of Progress in Nonlinear Differential Equa- tions and Their Applications.

Structure-Preserving Reduced-Order Modeling via Low-Rank Transport Signatures Optimal Transport for Applied Mathematicians: Calculus of Variations, PDEs, and Modeling , volume 87 of Progress in Nonlinear Differential Equa- tions and Their Applications

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-07-05T10:50:58.438933Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 71c3348d-e1f0-4a49-a473-ca4108d8abd0 · outbound

This paper cites Trefethen.

Structure-Preserving Reduced-Order Modeling via Low-Rank Transport Signatures Trefethen

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-07-05T10:50:58.421774Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 6c5ea0fb-e58a-4e82-8022-22f09c41b43b · outbound

This paper cites Topics in Optimal Transportation , volume 58 of Graduate Studies in Mathematics.

Structure-Preserving Reduced-Order Modeling via Low-Rank Transport Signatures Topics in Optimal Transportation , volume 58 of Graduate Studies in Mathematics

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-07-05T10:50:58.417734Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 15e6d486-5d53-43b4-9333-cbdde03a29e6 · outbound

This paper cites Ozolek, and Gustavo K.

Structure-Preserving Reduced-Order Modeling via Low-Rank Transport Signatures Ozolek, and Gustavo K

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-07-05T10:50:58.419599Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Pith citing papers

No inbound Pith citation observations are available.