Paper Citation Record · LEDGER

A Data-Driven Approximation of the Koopman Operator: Extending Dynamic Mode Decomposition

As of 18 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 18 inbound Pith citation observations for arXiv:1408.4408.

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

pith.paper-citation-record.v1
1408.4408 v1

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 18 of 18 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-17T06:30:58.91139+00:00

measured 18 of 18 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-04T23:15:50.534885Z

measured 1 of 1 external citation measurements

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

Source: doi_reference, observed 2026-07-09T21:16:33.953460Z

Reference resolution

0 of 0 outbound references displayed

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verified fuzzy0
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External citation measurements

1732
doi_reference, observed 2026-07-09T21:16:33.953460Z

Outbound references

No outbound reference observations are available for this paper version.

Pith citing papers

Observation 5d86969d-75a5-4f17-932e-0dbb5d97aa27 · inbound

Latent Linear Quadratic Regulator for Robotic Control Tasks cites this paper.

Latent Linear Quadratic Regulator for Robotic Control Tasks A Data-Driven Approximation of the Koopman Operator: Extending Dynamic Mode Decomposition

Reference 17

Resolution: verified exact; doi, observed 2026-07-04T20:29:39.197368Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 13e181f7-711f-4093-910c-641457a59180 · inbound

Spatio-Temporal Prediction via Operator-Valued RKHS and Koopman Approximation cites this paper.

Spatio-Temporal Prediction via Operator-Valued RKHS and Koopman Approximation A Data-Driven Approximation of the Koopman Operator: Extending Dynamic Mode Decomposition

Reference 28

Resolution: verified exact; doi, observed 2026-07-04T20:29:39.197368Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 9fd9d579-711f-4107-82a6-b72c4ab5a1f3 · inbound

Learning graphons from data: Random walks, transfer operators, and spectral clustering cites this paper.

Learning graphons from data: Random walks, transfer operators, and spectral clustering A Data-Driven Approximation of the Koopman Operator: Extending Dynamic Mode Decomposition

Reference 54

Resolution: verified exact; doi, observed 2026-07-04T20:29:39.197368Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation ad85b240-cb09-4b29-a351-54e8b21c391c · inbound

Data-driven discovery of dynamical models in biology cites this paper.

Data-driven discovery of dynamical models in biology A Data-Driven Approximation of the Koopman Operator: Extending Dynamic Mode Decomposition

Reference 116

Resolution: unresolved; no resolver link, observed 2026-08-04T23:15:50.534885Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fe67a738-a9ac-4cc9-8c97-dff321410fda · inbound

Numerical approximation of the Koopman-von Neumann equation: Operator learning and quantum computing cites this paper.

Numerical approximation of the Koopman-von Neumann equation: Operator learning and quantum computing A Data-Driven Approximation of the Koopman Operator: Extending Dynamic Mode Decomposition

Reference 28

Resolution: verified exact; doi, observed 2026-07-04T20:29:39.197368Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 4ed1a1f5-3363-4a95-9af8-5ca893aea383 · inbound

Conditional Score-Based Modeling of Effective Langevin Dynamics cites this paper.

Conditional Score-Based Modeling of Effective Langevin Dynamics A Data-Driven Approximation of the Koopman Operator: Extending Dynamic Mode Decomposition

Reference 64

Resolution: verified exact; doi, observed 2026-07-04T20:29:39.197368Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation a06fe4d1-842a-4600-ae75-41f4e5d8dcd9 · inbound

Data-driven discovery of polynomial ODEs with provably bounded solutions cites this paper.

Data-driven discovery of polynomial ODEs with provably bounded solutions A Data-Driven Approximation of the Koopman Operator: Extending Dynamic Mode Decomposition

Reference 62

Resolution: verified exact; doi, observed 2026-07-04T20:29:39.197368Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 1b6c8421-7e26-4f6f-9843-1b8b661b6299 · inbound

Koopman Representations for Early Outbreak Warning and Minimal Counterfactual Intervention in Multi-Agent Epidemic Simulations cites this paper.

Koopman Representations for Early Outbreak Warning and Minimal Counterfactual Intervention in Multi-Agent Epidemic Simulations A Data-Driven Approximation of the Koopman Operator: Extending Dynamic Mode Decomposition

Reference 31

Resolution: verified exact; doi, observed 2026-07-04T20:29:39.197368Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 1615cd4d-cfd4-4d00-a80b-086eee66cb33 · inbound

Deep-Koopman-KANDy: Dictionary Discovery for Deep-Koopman Operators with Kolmogorov-Arnold Networks for Dynamics cites this paper.

Deep-Koopman-KANDy: Dictionary Discovery for Deep-Koopman Operators with Kolmogorov-Arnold Networks for Dynamics A Data-Driven Approximation of the Koopman Operator: Extending Dynamic Mode Decomposition

Reference 1

Resolution: metadata mismatch; doi, observed 2026-07-04T20:29:39.197368Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 03c764ba-7ac6-4afb-be72-e8974179c0c8 · inbound

Controlling Transient Amplification Improves Long-horizon Rollouts cites this paper.

Controlling Transient Amplification Improves Long-horizon Rollouts A Data-Driven Approximation of the Koopman Operator: Extending Dynamic Mode Decomposition

Reference 16

Resolution: metadata mismatch; doi, observed 2026-07-04T20:29:39.197368Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 186a8ade-b01b-4e8a-afc1-4e0b5ce33a56 · inbound

Controlling Transient Amplification Improves Long-horizon Rollouts cites this paper.

Controlling Transient Amplification Improves Long-horizon Rollouts A Data-Driven Approximation of the Koopman Operator: Extending Dynamic Mode Decomposition

Reference 15

Resolution: verified exact; doi, observed 2026-07-04T20:29:39.197368Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation ac3aabfd-2adf-4935-84c5-e6619d12cfb8 · inbound

Diagnostic Certificates of Data Quality and Regression Identifiability for Koopman Identification cites this paper.

Diagnostic Certificates of Data Quality and Regression Identifiability for Koopman Identification A Data-Driven Approximation of the Koopman Operator: Extending Dynamic Mode Decomposition

Reference 21

Resolution: metadata mismatch; doi, observed 2026-07-04T20:29:39.197368Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 8e1a6773-6279-44b7-b84d-617f60fb106b · inbound

Data-driven analysis of metastability in a stochastic bistable system cites this paper.

Data-driven analysis of metastability in a stochastic bistable system A Data-Driven Approximation of the Koopman Operator: Extending Dynamic Mode Decomposition

Reference 10

Resolution: verified exact; doi, observed 2026-07-04T20:29:39.197368Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation fcf083da-89ea-410c-84b2-72c0f634f274 · inbound

Optimization of randomized neural networks for transfer operator approximation cites this paper.

Optimization of randomized neural networks for transfer operator approximation A Data-Driven Approximation of the Koopman Operator: Extending Dynamic Mode Decomposition

Reference 2

Resolution: verified exact; doi, observed 2026-07-04T20:29:39.197368Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 9cc77056-4f4d-4618-94f2-6582b2a34e3e · inbound

Data-driven methods for computation of optimal linear response in high-dimensional dynamical systems cites this paper.

Data-driven methods for computation of optimal linear response in high-dimensional dynamical systems A Data-Driven Approximation of the Koopman Operator: Extending Dynamic Mode Decomposition

Reference 48

Resolution: verified exact; doi, observed 2026-07-04T20:29:39.197368Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 3b175745-8c1a-4382-9609-dc65e7646c28 · inbound

Finite-Lag Operator Geometry of Recurrent Representations cites this paper.

Finite-Lag Operator Geometry of Recurrent Representations A Data-Driven Approximation of the Koopman Operator: Extending Dynamic Mode Decomposition

Reference 12

Resolution: verified exact; doi, observed 2026-07-04T20:29:39.197368Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation dadcd189-a608-46fc-a4c0-eb6328e7b644 · inbound

Input-to-State Stability Certification via Projection Residuals for Koopman Learning Control of Nonlinear Repetitive Systems cites this paper.

Input-to-State Stability Certification via Projection Residuals for Koopman Learning Control of Nonlinear Repetitive Systems A Data-Driven Approximation of the Koopman Operator: Extending Dynamic Mode Decomposition

Reference 16

Resolution: metadata mismatch; doi, observed 2026-07-08T05:34:32.265434Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 436fc08d-085c-431d-93b1-2fabfcbee7bf · inbound

Probe-Conditioned Memory for Actuator-Deadband-Aware Koopman MPC in Industrial Sealing cites this paper.

Probe-Conditioned Memory for Actuator-Deadband-Aware Koopman MPC in Industrial Sealing A Data-Driven Approximation of the Koopman Operator: Extending Dynamic Mode Decomposition

Reference 20

Resolution: metadata mismatch; doi, observed 2026-07-09T21:16:33.955244Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.