Paper Citation Record · LEDGER

Residual-Guided Dictionary Learning for Spectrally Accurate Koopman Approximation

As of 12 August 2026, this Paper Citation Record lists 32 of 32 outbound references and 0 inbound Pith citation observations for arXiv:2606.29083.

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

pith.paper-citation-record.v1
2606.29083 v1

Coverage vector

measured 32 of 32 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-06-30T08:23:17.867346Z

measured 32 of 32 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+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 exact2
verified fuzzy29
unresolved1
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 581f1920-9120-409c-b2c1-e1b06977571a · outbound

This paper cites Benjamin Erichson, Vanessa Lin, and Michael Mahoney.

Residual-Guided Dictionary Learning for Spectrally Accurate Koopman Approximation Benjamin Erichson, Vanessa Lin, and Michael Mahoney

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T21:17:43.938649Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation a0a5430a-421d-4ad0-a042-902a2b6275f1 · outbound

This paper cites Bollt, Felix Dietrich, Ioannis G.

Residual-Guided Dictionary Learning for Spectrally Accurate Koopman Approximation Bollt, Felix Dietrich, Ioannis G

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T21:17:44.065503Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 9b8758cd-4f5d-4593-aec7-b1656a5d0290 · outbound

This paper cites Brunton, Bingni W.

Residual-Guided Dictionary Learning for Spectrally Accurate Koopman Approximation Brunton, Bingni W

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T21:17:43.969345Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 327895dd-8801-482b-b9cb-d7dff81de361 · outbound

This paper cites Brunton, Marko Budi ˇsi´c, Eurika Kaiser, and J.

Residual-Guided Dictionary Learning for Spectrally Accurate Koopman Approximation Brunton, Marko Budi ˇsi´c, Eurika Kaiser, and J

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T21:17:43.954105Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 21ec8687-6dff-41ab-91b6-b0e104495d14 · outbound

This paper cites Brunton, Bernd R.

Residual-Guided Dictionary Learning for Spectrally Accurate Koopman Approximation Brunton, Bernd R

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T21:17:43.861202Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 2a4d7fd9-cd87-459d-a4a4-237497aae38f · outbound

This paper cites Colbrook.

Residual-Guided Dictionary Learning for Spectrally Accurate Koopman Approximation Colbrook

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T21:17:43.922500Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 055ed6a9-a805-463a-86bc-f2e36734d431 · outbound

This paper cites Colbrook.Infinite-Dimensional Spectral Computations: Foundations, Algorithms, and Modern Applications.

Residual-Guided Dictionary Learning for Spectrally Accurate Koopman Approximation Colbrook.Infinite-Dimensional Spectral Computations: Foundations, Algorithms, and Modern Applications

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T21:17:44.048980Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation ebc5684d-6ff2-4d33-a346-2ce55f44deb2 · outbound

This paper cites Colbrook, Lorna J.

Residual-Guided Dictionary Learning for Spectrally Accurate Koopman Approximation Colbrook, Lorna J

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T21:17:43.892409Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 4ec5575a-9b4b-4689-9d55-909a5ffec907 · outbound

This paper cites An introductory guide to Koopman learning.

Residual-Guided Dictionary Learning for Spectrally Accurate Koopman Approximation An introductory guide to Koopman learning

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T21:17:43.831056Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 6f339ef8-07ab-44da-85ed-bba40164a706 · outbound

This paper cites Colbrook, Qin Li, Ryan V.

Residual-Guided Dictionary Learning for Spectrally Accurate Koopman Approximation Colbrook, Qin Li, Ryan V

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T21:17:44.016379Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 89d40220-74ed-42ba-9ece-d80d9b8f24da · outbound

This paper cites Colbrook, Igor Mezi ´c, and Alexei Stepanenko.

Residual-Guided Dictionary Learning for Spectrally Accurate Koopman Approximation Colbrook, Igor Mezi ´c, and Alexei Stepanenko

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T21:17:44.032502Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation e72b8d6a-91c4-471f-b3c8-d4561057f21a · outbound

This paper cites Colbrook and Alex Townsend.

Residual-Guided Dictionary Learning for Spectrally Accurate Koopman Approximation Colbrook and Alex Townsend

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T21:17:43.985532Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 08c88511-dafb-498e-a6f3-a0364fd88b83 · outbound

This paper cites Froyland, D.

Residual-Guided Dictionary Learning for Spectrally Accurate Koopman Approximation Froyland, D

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T21:17:43.907388Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 2b2be61a-3238-4c5f-803f-3bdcae22872a · outbound

This paper cites Deep sparse rectifier neural networks.

Residual-Guided Dictionary Learning for Spectrally Accurate Koopman Approximation Deep sparse rectifier neural networks

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T21:17:44.083529Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 84cc0b3f-f8a8-49b5-be65-0c6e4d187f68 · outbound

This paper cites Haggerty, Michael J.

Residual-Guided Dictionary Learning for Spectrally Accurate Koopman Approximation Haggerty, Michael J

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T21:17:43.845968Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation abd5b5d7-dab6-408c-afff-62ca9a287d6b · outbound

This paper cites Haykin.Neural Networks: A Comprehensive Foundation.

Residual-Guided Dictionary Learning for Spectrally Accurate Koopman Approximation Haykin.Neural Networks: A Comprehensive Foundation

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T21:17:43.877214Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 10a4addf-4b3e-4251-819b-0c777509251c · outbound

This paper cites an unresolved cited work.

Residual-Guided Dictionary Learning for Spectrally Accurate Koopman Approximation Unresolved cited work

Reference 17

Resolution: unresolved; raw_fallback, observed 2026-07-10T21:17:44.099203Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation ed4b4933-a2a2-4304-a21e-03fadff59249 · outbound

This paper cites Koopman and J.

Residual-Guided Dictionary Learning for Spectrally Accurate Koopman Approximation Koopman and J

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T21:17:44.114930Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation c5dc3c34-831a-4ea8-9570-66a1cfaf61cd · outbound

This paper cites Reskoopnet: learning Koopman representations for complex dynamics with spectral residuals.

Residual-Guided Dictionary Learning for Spectrally Accurate Koopman Approximation Reskoopnet: learning Koopman representations for complex dynamics with spectral residuals

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T21:17:44.001779Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 34895c5e-8481-4428-87bb-950ec1709860 · outbound

This paper cites Residual Pseudospectra Reveal a Physics-Informed Koopman Backbone for Tropical Pacific Variability and ENSO Prediction.

Residual-Guided Dictionary Learning for Spectrally Accurate Koopman Approximation Residual Pseudospectra Reveal a Physics-Informed Koopman Backbone for Tropical Pacific Variability and ENSO Prediction

Reference 20

Resolution: verified exact; local_arxiv, observed 2026-06-30T08:24:26.328721Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation a3a3cdf1-1d32-4079-a51f-7fee9254464b · outbound

This paper cites Nathan Kutz, and Steven L.

Residual-Guided Dictionary Learning for Spectrally Accurate Koopman Approximation Nathan Kutz, and Steven L

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T21:07:43.144484Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation c84048f5-8899-4313-ae2a-ea60bf7a2cde · outbound

This paper cites Spectral properties of dynamical systems, model reduction and decompositions.Nonlinear Dynamics, 41(1):309–325, 2005.

Residual-Guided Dictionary Learning for Spectrally Accurate Koopman Approximation Spectral properties of dynamical systems, model reduction and decompositions.Nonlinear Dynamics, 41(1):309–325, 2005

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T21:07:43.126452Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation a1cc1f6e-8741-4c38-b44c-773cd53c14f8 · outbound

This paper cites Analysis of fluid flows via spectral properties of the Koopman operator.Annual Review of Fluid Mechanics, 45(1):357–378, 2013.

Residual-Guided Dictionary Learning for Spectrally Accurate Koopman Approximation Analysis of fluid flows via spectral properties of the Koopman operator.Annual Review of Fluid Mechanics, 45(1):357–378, 2013

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T21:07:43.162509Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 719b5c0a-5a43-487e-8cb8-ef81a524ea48 · outbound

This paper cites Orvieto et al.

Residual-Guided Dictionary Learning for Spectrally Accurate Koopman Approximation Orvieto et al

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T21:07:43.108707Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 5271d54e-0540-4ee1-b988-2c51ec777e56 · outbound

This paper cites Otto and Clarence W.

Residual-Guided Dictionary Learning for Spectrally Accurate Koopman Approximation Otto and Clarence W

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T21:17:43.799201Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 5dfbf0be-f6f7-45a8-a1f6-7b743729777b · outbound

This paper cites Physics-informed probabilistic learning of linear embeddings of nonlinear dynamics with guaranteed stability.SIAM Journal on Applied Dynamical Systems, 19(1):480–509, 2020.

Residual-Guided Dictionary Learning for Spectrally Accurate Koopman Approximation Physics-informed probabilistic learning of linear embeddings of nonlinear dynamics with guaranteed stability.SIAM Journal on Applied Dynamical Systems, 19(1):480–509, 2020

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T21:17:43.815427Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation a6438155-d763-47dd-9317-5d06a4ddc80a · outbound

This paper cites Proctor and P.

Residual-Guided Dictionary Learning for Spectrally Accurate Koopman Approximation Proctor and P

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T21:07:42.884181Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 0601ea38-8e34-4a13-8e41-efe51c52862d · outbound

This paper cites Rowley, Igor Mezi ´c, Shervin Bagheri, Philipp Schlatter, and Dan S.

Residual-Guided Dictionary Learning for Spectrally Accurate Koopman Approximation Rowley, Igor Mezi ´c, Shervin Bagheri, Philipp Schlatter, and Dan S

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T21:07:43.093186Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation f55f99ba-bdd2-47d7-8f26-f39d46e29ee7 · outbound

This paper cites On data-driven unbiased predictors using the Koopman operator.arXiv preprint arXiv:2602.04720, 2026.

Residual-Guided Dictionary Learning for Spectrally Accurate Koopman Approximation On data-driven unbiased predictors using the Koopman operator.arXiv preprint arXiv:2602.04720, 2026

Reference 29

Resolution: verified exact; arxiv_id, observed 2026-06-30T08:24:26.331693Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 7960c457-4dab-43b1-b925-5a2303cff64a · outbound

This paper cites Learning Koopman invariant subspaces for dynamic mode decomposition.

Residual-Guided Dictionary Learning for Spectrally Accurate Koopman Approximation Learning Koopman invariant subspaces for dynamic mode decomposition

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T21:07:42.834945Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation d6864f3a-63ec-4692-aee1-2c9caa73eeba · outbound

This paper cites Williams, Ioannis G.

Residual-Guided Dictionary Learning for Spectrally Accurate Koopman Approximation Williams, Ioannis G

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T21:07:42.850666Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation f31e92e7-3630-4b20-9ddf-4f71080dad72 · outbound

This paper cites Learning deep neural network representations for Koopman operators of nonlinear dynamical systems.

Residual-Guided Dictionary Learning for Spectrally Accurate Koopman Approximation Learning deep neural network representations for Koopman operators of nonlinear dynamical systems

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T21:07:42.868382Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Pith citing papers

No inbound Pith citation observations are available.