Paper Citation Record · LEDGER

Weak-DMD: A Galerkin approach to the problem of noise in the Dynamic Mode Decomposition algorithm

As of 16 August 2026, this Paper Citation Record lists 29 of 29 outbound references and 1 inbound Pith citation observation for arXiv:2604.14350.

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

pith.paper-citation-record.v1
2604.14350 v1

Coverage vector

measured 29 of 29 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-05-10T11:46:24.274453Z

measured 30 of 30 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-01T01:05:37.014766Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

29 of 29 outbound references displayed

verified exact2
verified fuzzy25
unresolved2
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 24e1064d-2f60-4443-b73c-e79a290dc9c2 · outbound

This paper cites Streak instability in near-wall turbulence revisited.Journal of Turbulence, 18(5): 443–464.

Weak-DMD: A Galerkin approach to the problem of noise in the Dynamic Mode Decomposition algorithm Streak instability in near-wall turbulence revisited.Journal of Turbulence, 18(5): 443–464

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-05-19T13:07:19.130331Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 4f71e359-1730-420b-a745-f554363d5173 · outbound

This paper cites Dynamic mode decomposition of turbulent cavity flows for self-sustained oscillations.International Journal of Heat and Fluid Flow, 32(6):1098–1110.

Weak-DMD: A Galerkin approach to the problem of noise in the Dynamic Mode Decomposition algorithm Dynamic mode decomposition of turbulent cavity flows for self-sustained oscillations.International Journal of Heat and Fluid Flow, 32(6):1098–1110

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-05-19T13:07:19.140907Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation f0b5d84b-f395-47af-836a-04f1b7e53b29 · outbound

This paper cites Dynamic mode decomposition of numerical and experi- mental data.Journal of fluid mechanics, 656:5–28.

Weak-DMD: A Galerkin approach to the problem of noise in the Dynamic Mode Decomposition algorithm Dynamic mode decomposition of numerical and experi- mental data.Journal of fluid mechanics, 656:5–28

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-05-19T13:07:19.133185Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 0573d037-7ec2-4054-b7ba-e642e3e3dfaf · outbound

This paper cites Calculating time eigenvalues of the neutron transport equation with dynamic mode decomposition.Nuclear Science and Engi- neering, 193(8):854–867.

Weak-DMD: A Galerkin approach to the problem of noise in the Dynamic Mode Decomposition algorithm Calculating time eigenvalues of the neutron transport equation with dynamic mode decomposition.Nuclear Science and Engi- neering, 193(8):854–867

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-05-19T13:07:19.122898Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 398f3124-8071-4cdf-98c7-b8a2b94f7e19 · outbound

This paper cites Variable dynamic mode decomposition for estimating time eigenvalues in nuclear systems.

Weak-DMD: A Galerkin approach to the problem of noise in the Dynamic Mode Decomposition algorithm Variable dynamic mode decomposition for estimating time eigenvalues in nuclear systems

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-05-19T13:07:19.127640Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 48d2c073-6d14-4119-a5a1-6840049676bc · outbound

This paper cites Dynamic mode decomposition with control.SIAM Journal on Applied Dynamical Systems, 15(1):142–161.

Weak-DMD: A Galerkin approach to the problem of noise in the Dynamic Mode Decomposition algorithm Dynamic mode decomposition with control.SIAM Journal on Applied Dynamical Systems, 15(1):142–161

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-05-19T13:07:19.146775Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 93c33525-e898-414d-904d-293c46a1ba6b · outbound

This paper cites Spectral analysis of nonlinear flows.Journal of fluid mechanics, 641:115–127.

Weak-DMD: A Galerkin approach to the problem of noise in the Dynamic Mode Decomposition algorithm Spectral analysis of nonlinear flows.Journal of fluid mechanics, 641:115–127

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-05-19T13:07:19.135857Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 17b37b18-bcc8-44bb-9180-b5f04584e0b0 · outbound

This paper cites Analysis of fluid flows via spectral properties of the Koopman operator.Annual review of fluid mechanics, 45(1):357–378.

Weak-DMD: A Galerkin approach to the problem of noise in the Dynamic Mode Decomposition algorithm Analysis of fluid flows via spectral properties of the Koopman operator.Annual review of fluid mechanics, 45(1):357–378

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-05-19T13:07:19.138405Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation c7cb3a07-c5f0-4b76-ba67-918bb8e8089b · outbound

This paper cites A dynamic mode decomposition technique for the analysis of non–uniformly sampled flow data.Journal of Computational Physics, 468:111495.

Weak-DMD: A Galerkin approach to the problem of noise in the Dynamic Mode Decomposition algorithm A dynamic mode decomposition technique for the analysis of non–uniformly sampled flow data.Journal of Computational Physics, 468:111495

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-05-19T13:07:19.119900Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 025ea22f-d5f4-47a1-bdcb-c235ff656fe7 · outbound

This paper cites Characterizing and correcting for the effect of sensor noise in the dynamic mode decomposition.Experiments in Fluids, 57(3):42.

Weak-DMD: A Galerkin approach to the problem of noise in the Dynamic Mode Decomposition algorithm Characterizing and correcting for the effect of sensor noise in the dynamic mode decomposition.Experiments in Fluids, 57(3):42

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-05-19T13:07:19.143594Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation b2191f95-78be-43ee-afb9-386eb76be053 · outbound

This paper cites De-biasing the dynamic mode decomposition for applied Koop- man spectral analysis of noisy datasets.Theoretical and Computational Fluid Dynamics, 31(4):349–368.

Weak-DMD: A Galerkin approach to the problem of noise in the Dynamic Mode Decomposition algorithm De-biasing the dynamic mode decomposition for applied Koop- man spectral analysis of noisy datasets.Theoretical and Computational Fluid Dynamics, 31(4):349–368

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-05-19T13:07:19.114868Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 84cfcba3-fd44-4eca-84ec-bd7e22570da7 · outbound

This paper cites Subspace dy- namic mode decomposition for stochastic Koopman analysis.Physical Re- view E, 96(3):033310.

Weak-DMD: A Galerkin approach to the problem of noise in the Dynamic Mode Decomposition algorithm Subspace dy- namic mode decomposition for stochastic Koopman analysis.Physical Re- view E, 96(3):033310

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-05-19T13:07:19.096702Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation c6756503-3f8f-4f45-ad9e-0f7b3e4e9c67 · outbound

This paper cites Variable projection methods for an optimized dynamic mode decomposition.SIAM Journal on Applied Dy- namical Systems, 17(1):380–416.

Weak-DMD: A Galerkin approach to the problem of noise in the Dynamic Mode Decomposition algorithm Variable projection methods for an optimized dynamic mode decomposition.SIAM Journal on Applied Dy- namical Systems, 17(1):380–416

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-05-19T13:07:19.092515Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 9f2c1855-d73f-4452-83c7-62bfe60aec00 · outbound

This paper cites Modern Koopman Theory for Dynamical Systems.

Weak-DMD: A Galerkin approach to the problem of noise in the Dynamic Mode Decomposition algorithm Modern Koopman Theory for Dynamical Systems

Reference 14

Resolution: verified exact; arxiv_id, observed 2026-05-10T11:50:20.677940Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 0ce2296b-d735-4e80-86fe-1916b544f038 · outbound

This paper cites Physics-informed deep neural net- works for learning parameters and constitutive relationships in subsurface flow problems.Water Resources Research, 56(5):e2019WR026731.

Weak-DMD: A Galerkin approach to the problem of noise in the Dynamic Mode Decomposition algorithm Physics-informed deep neural net- works for learning parameters and constitutive relationships in subsurface flow problems.Water Resources Research, 56(5):e2019WR026731

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-05-19T13:07:19.102978Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation a71132cb-fc39-477d-993b-b3b8ca157d13 · outbound

This paper cites Machine learning for sparse nonlinear modeling and control.Annual Review of Control, Robotics, and Autonomous Systems, 8.

Weak-DMD: A Galerkin approach to the problem of noise in the Dynamic Mode Decomposition algorithm Machine learning for sparse nonlinear modeling and control.Annual Review of Control, Robotics, and Autonomous Systems, 8

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-05-19T13:07:19.086203Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 65b50c61-e4b9-43e4-9635-6b86b136852f · outbound

This paper cites Koopman-mode decomposition of the cylinder wake.

Weak-DMD: A Galerkin approach to the problem of noise in the Dynamic Mode Decomposition algorithm Koopman-mode decomposition of the cylinder wake

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-05-19T13:07:19.090426Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 192dac70-d2cc-48cb-aea7-cae721b380ac · outbound

This paper cites Weak sindy: Galerkin-based data- driven model selection.Multiscale Modeling & Simulation, 19(3):1474– 1497.

Weak-DMD: A Galerkin approach to the problem of noise in the Dynamic Mode Decomposition algorithm Weak sindy: Galerkin-based data- driven model selection.Multiscale Modeling & Simulation, 19(3):1474– 1497

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-05-19T13:07:19.083608Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation c0d50742-007e-4f04-9db0-4ff8e4c5adf5 · outbound

This paper cites Pydmd: A python package for robust dynamic mode decomposition.Journal of Machine Learning Research, 25(417):1–9.

Weak-DMD: A Galerkin approach to the problem of noise in the Dynamic Mode Decomposition algorithm Pydmd: A python package for robust dynamic mode decomposition.Journal of Machine Learning Research, 25(417):1–9

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-05-19T13:07:19.088413Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 53bbc651-1391-44ce-9a8b-b7c2c60c31d2 · outbound

This paper cites Pydmd: Python dy- namic mode decomposition.Journal of Open Source Software, 3(22):530.

Weak-DMD: A Galerkin approach to the problem of noise in the Dynamic Mode Decomposition algorithm Pydmd: Python dy- namic mode decomposition.Journal of Open Source Software, 3(22):530

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-05-19T13:07:19.094590Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 56983616-1d48-4dce-be4f-8636873d9821 · outbound

This paper cites an unresolved cited work.

Weak-DMD: A Galerkin approach to the problem of noise in the Dynamic Mode Decomposition algorithm Unresolved cited work

Reference 21

Resolution: unresolved; raw_fallback, observed 2026-05-19T13:07:19.100565Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation c3d4000d-70ca-422b-9762-3a5c07ab1285 · outbound

This paper cites PhD thesis, Princeton University.

Weak-DMD: A Galerkin approach to the problem of noise in the Dynamic Mode Decomposition algorithm PhD thesis, Princeton University

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-05-19T13:07:19.098602Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 8ef39457-d630-4916-93f2-4db7b5c1f83f · outbound

This paper cites Smoothing noisy data with spline func- tions: estimating the correct degree of smoothing by the method of gener- alized cross-validation.Numerische mathematik, 31(4):377–403.

Weak-DMD: A Galerkin approach to the problem of noise in the Dynamic Mode Decomposition algorithm Smoothing noisy data with spline func- tions: estimating the correct degree of smoothing by the method of gener- alized cross-validation.Numerische mathematik, 31(4):377–403

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-05-19T13:07:19.117604Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation d72f11b5-b92a-4fa9-84cf-d6f6fb54a326 · outbound

This paper cites Adapting to unknown smoothness via wavelet shrinkage.Journal of the american statistical association, 90 (432):1200–1224.

Weak-DMD: A Galerkin approach to the problem of noise in the Dynamic Mode Decomposition algorithm Adapting to unknown smoothness via wavelet shrinkage.Journal of the american statistical association, 90 (432):1200–1224

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-05-19T13:07:19.112544Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation f0d3f502-7677-45d3-8e3d-4a8030c66b99 · outbound

This paper cites Time–eigenvalue calculations in multi-region cartesian geometry using green’s functions.Annals of Nuclear Energy, 32(9):964–985.

Weak-DMD: A Galerkin approach to the problem of noise in the Dynamic Mode Decomposition algorithm Time–eigenvalue calculations in multi-region cartesian geometry using green’s functions.Annals of Nuclear Energy, 32(9):964–985

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-05-19T13:07:19.107587Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 70a8064b-18cf-4809-8acd-625f1e60bd94 · outbound

This paper cites an unresolved cited work.

Weak-DMD: A Galerkin approach to the problem of noise in the Dynamic Mode Decomposition algorithm Unresolved cited work

Reference 26

Resolution: unresolved; raw_fallback, observed 2026-05-19T13:07:19.105209Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 0bd9c2c1-f5d3-4412-a0b9-d9f3a6dd5a9c · outbound

This paper cites OpenFOAM: Open source CFD in research and industry.

Weak-DMD: A Galerkin approach to the problem of noise in the Dynamic Mode Decomposition algorithm OpenFOAM: Open source CFD in research and industry

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-05-19T13:07:19.125229Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation e6e7b945-b826-47ec-a634-859c45b5463d · outbound

This paper cites Predicting Physics in Mesh-reduced Space with Temporal Attention.

Weak-DMD: A Galerkin approach to the problem of noise in the Dynamic Mode Decomposition algorithm Predicting Physics in Mesh-reduced Space with Temporal Attention

Reference 28

Resolution: verified exact; arxiv_id, observed 2026-05-10T11:50:20.681645Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 47445d0d-cd73-40ee-b9b7-a95a2fe2758f · outbound

This paper cites Sparsity- promoting dynamic mode decomposition.Physics of Fluids, 26(2).

Weak-DMD: A Galerkin approach to the problem of noise in the Dynamic Mode Decomposition algorithm Sparsity- promoting dynamic mode decomposition.Physics of Fluids, 26(2)

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-05-19T13:07:19.110048Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Pith citing papers

Observation 89f13880-2bc1-411c-a16e-981cda8f9472 · inbound

Weak-form Extended Dynamic Mode Decomposition cites this paper.

Weak-form Extended Dynamic Mode Decomposition Weak-DMD: A Galerkin approach to the problem of noise in the Dynamic Mode Decomposition algorithm

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-01T01:05:37.014766Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.