Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links
Paper Citation Record · LEDGER
A Data-Driven Approximation of the Koopman Operator: Extending Dynamic Mode Decomposition
As of 16 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.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-04T23:15:50.534885Z
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
- verified exact0
- verified fuzzy0
- unresolved0
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- malformed identifier0
- metadata mismatch0
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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+00:00.