Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-14T05:28:30.274719Z
Paper Citation Record · LEDGER
As of 16 August 2026, this Paper Citation Record lists 54 of 54 outbound references and 0 inbound Pith citation observations for arXiv:1909.01419.
A citation records a reference. It does not transfer a finding from one paper to another.
Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-14T05:28:30.274719Z
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
A source-named dated measurement, never combined with another source.
Source: cited_works
54 of 54 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation bbb0b4ad-a223-4412-9e67-005ce1c7a364 · outbound
Learning Koopman Eigenfunctions and Invariant Subspaces from Data: Symmetric Subspace Decomposition Efficient identification of linear evolutions in nonlinear vector fields: Koopman invariant subspaces,
Reference 1
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 b9f93d93-95cf-40ae-9897-73a0057a4a77 · outbound
Learning Koopman Eigenfunctions and Invariant Subspaces from Data: Symmetric Subspace Decomposition Hamiltonian systems and transformation in Hilbert space,
Reference 2
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 754be019-84f4-4f82-9444-e28921c5f6f7 · outbound
Learning Koopman Eigenfunctions and Invariant Subspaces from Data: Symmetric Subspace Decomposition Dynamical systems of continuous spectra,
Reference 3
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 2af62975-0f32-49fd-9b25-c8c86cf63995 · outbound
Learning Koopman Eigenfunctions and Invariant Subspaces from Data: Symmetric Subspace Decomposition Spectral properties of dynamical systems, model reduction and decompositions,
Reference 4
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 f83c9d89-e3ba-4299-b316-ae24803d01b1 · outbound
Learning Koopman Eigenfunctions and Invariant Subspaces from Data: Symmetric Subspace Decomposition Spectral analysis of nonlinear flows,
Reference 5
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 31610b87-072a-4e2c-8781-1f840524e0e3 · outbound
Learning Koopman Eigenfunctions and Invariant Subspaces from Data: Symmetric Subspace Decomposition Applied Koopmanism,
Reference 6
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 8c6d8172-eb50-4c08-a8ac-013f09c1ca9f · outbound
Learning Koopman Eigenfunctions and Invariant Subspaces from Data: Symmetric Subspace Decomposition Koopman operator framework for constrained state estimation,
Reference 7
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 d984d801-b3b5-4ea6-b3a2-32a7cdbae1ba · outbound
Learning Koopman Eigenfunctions and Invariant Subspaces from Data: Symmetric Subspace Decomposition A robust data-driven Koopman Kalman filter for power systems dynamic state estimation,
Reference 8
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 1f77ab34-1cfd-4f87-ae9b-32c14b6fd554 · outbound
Learning Koopman Eigenfunctions and Invariant Subspaces from Data: Symmetric Subspace Decomposition Koopman-based lifting techniques for nonlinear systems identification,
Reference 9
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 a9414e26-d3be-4e10-af84-31c13ec904b3 · outbound
Learning Koopman Eigenfunctions and Invariant Subspaces from Data: Symmetric Subspace Decomposition Nonlinear system identifi- cation of soft robot dynamics using Koopman operator theory,
Reference 10
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 c234d220-5178-41a9-86dc-3eb8d8eee75a · outbound
Learning Koopman Eigenfunctions and Invariant Subspaces from Data: Symmetric Subspace Decomposition Sparse sensing and DMD-based identification of flow regimes and bifurcations in complex flows,
Reference 11
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 9517698a-ef90-4ceb-8e74-fec72267cf5d · outbound
Learning Koopman Eigenfunctions and Invariant Subspaces from Data: Symmetric Subspace Decomposition Operator theoretic framework for optimal placement of sensors and actuators for control of nonequilibrium dynamics,
Reference 12
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 cad837be-2cef-45e9-9797-f429530fbc30 · outbound
Learning Koopman Eigenfunctions and Invariant Subspaces from Data: Symmetric Subspace Decomposition Data-driven model reduction and transfer operator approximation,
Reference 13
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 c7f21603-3e24-4313-a940-9881f28b7f2a · outbound
Learning Koopman Eigenfunctions and Invariant Subspaces from Data: Symmetric Subspace Decomposition Nonlinear model order reduction via dynamic mode decomposition,
Reference 14
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 81af22cf-96cf-49e7-9ee5-e512dbe3c8eb · outbound
Learning Koopman Eigenfunctions and Invariant Subspaces from Data: Symmetric Subspace Decomposition Linear predictors for nonlinear dynamical sys- tems: Koopman operator meets model predictive control,
Reference 15
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a0984e01-96b9-44c0-9c65-4e7c25438440 · outbound
Learning Koopman Eigenfunctions and Invariant Subspaces from Data: Symmetric Subspace Decomposition A data-driven Koopman model predictive control framework for nonlinear flows
Reference 16
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 72522e86-2743-434b-bdbc-fd912e61d642 · outbound
Learning Koopman Eigenfunctions and Invariant Subspaces from Data: Symmetric Subspace Decomposition Koopman operator-based model reduction for switched-system control of PDEs,
Reference 17
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d0d00d0d-2bcb-47e8-8a79-dcfe94fb2470 · outbound
Learning Koopman Eigenfunctions and Invariant Subspaces from Data: Symmetric Subspace Decomposition Feedback stabilization using Koop- man operator,
Reference 18
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 48c7657a-a5bc-4076-863f-2ce75441d7e8 · outbound
Learning Koopman Eigenfunctions and Invariant Subspaces from Data: Symmetric Subspace Decomposition Data-driven discovery of Koopman eigenfunctions for control
Reference 19
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 34e2bf48-6d4f-4de3-ba21-b3f44cefbbad · outbound
Learning Koopman Eigenfunctions and Invariant Subspaces from Data: Symmetric Subspace Decomposition Pulse-based control using Koopman operator under parametric uncertainty,
Reference 20
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 4f2c70d5-d039-44bc-89e5-50d1f4dea8b0 · outbound
Learning Koopman Eigenfunctions and Invariant Subspaces from Data: Symmetric Subspace Decomposition Data-driven feedback stabilization of nonlinear systems: Koopman-based model predictive control
Reference 21
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 87cab151-dc64-4ae6-8f5c-0ecc8b6cbcf9 · outbound
Learning Koopman Eigenfunctions and Invariant Subspaces from Data: Symmetric Subspace Decomposition Local Koopman operators for data-driven control of robotic systems,
Reference 22
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 3f7ac862-2e19-43f2-8b32-599ea7c4ed49 · outbound
Learning Koopman Eigenfunctions and Invariant Subspaces from Data: Symmetric Subspace Decomposition Control-oriented modeling of soft robotic swimmer with Koop- man operators,
Reference 23
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 e598e302-7192-46da-b405-c4a4cb922d5e · outbound
Learning Koopman Eigenfunctions and Invariant Subspaces from Data: Symmetric Subspace Decomposition Global stability analysis using the eigen- functions of the Koopman operator,
Reference 24
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 14815956-490f-42be-b338-f83b09e30362 · outbound
Learning Koopman Eigenfunctions and Invariant Subspaces from Data: Symmetric Subspace Decomposition Dynamic mode decomposition of numerical and experi- mental data,
Reference 25
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 5f8338fa-177d-4c74-ab8d-170c609d70ef · outbound
Learning Koopman Eigenfunctions and Invariant Subspaces from Data: Symmetric Subspace Decomposition Variants of dynamic mode decomposition: boundary condition, Koopman, and Fourier analyses,
Reference 26
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 fffc8e15-c5de-4935-9f96-8fd466f3e6b9 · outbound
Learning Koopman Eigenfunctions and Invariant Subspaces from Data: Symmetric Subspace Decomposition On dynamic mode decomposition: theory and applications,
Reference 27
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 2f8415f3-02ff-401a-bb33-59101df1b52d · outbound
Learning Koopman Eigenfunctions and Invariant Subspaces from Data: Symmetric Subspace Decomposition Dynamic mode decomposition for large and streaming datasets,
Reference 28
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 97cf3f05-f8c4-4373-af03-b597c3241014 · outbound
Learning Koopman Eigenfunctions and Invariant Subspaces from Data: Symmetric Subspace Decomposition Online dynamic mode decomposition for time-varying systems,
Reference 29
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 77923b4a-d0e3-4396-be4d-2058ef865e82 · outbound
Learning Koopman Eigenfunctions and Invariant Subspaces from Data: Symmetric Subspace Decomposition A parallel and streaming dynamic mode decomposition algorithm with finite precision error analysis for large data,
Reference 30
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 84f5b8e5-32eb-4c22-a907-e9864a2f4b15 · outbound
Learning Koopman Eigenfunctions and Invariant Subspaces from Data: Symmetric Subspace Decomposition Characterizing and correcting for the effect of sensor noise in the dynamic mode decomposition,
Reference 31
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 6d180950-bd06-40e7-a72f-b1383aace70b · outbound
Learning Koopman Eigenfunctions and Invariant Subspaces from Data: Symmetric Subspace Decomposition De-biasing the dynamic mode decomposition for applied Koopman spectral analysis of noisy datasets,
Reference 32
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 dd5b3b27-fef3-46da-9333-cf7da35744a1 · outbound
Learning Koopman Eigenfunctions and Invariant Subspaces from Data: Symmetric Subspace Decomposition Sparsity-promoting dynamic mode decomposition,
Reference 33
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 70fc8f50-19b9-4583-ae55-26c20849914d · outbound
Learning Koopman Eigenfunctions and Invariant Subspaces from Data: Symmetric Subspace Decomposition Higher-order dynamic mode decom- position,
Reference 34
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 e0fecd8a-532e-43c8-957e-99a8356483fd · outbound
Learning Koopman Eigenfunctions and Invariant Subspaces from Data: Symmetric Subspace Decomposition A data-driven approximation of the Koopman operator: Extending dynamic mode decomposition,
Reference 35
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 fc7391e7-f37c-4ac5-ac1a-570f889aa370 · outbound
Learning Koopman Eigenfunctions and Invariant Subspaces from Data: Symmetric Subspace Decomposition On convergence of extended dynamic mode decomposition to the Koopman operator,
Reference 36
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 5944c714-6dfe-4db7-a379-36bee2701b06 · outbound
Learning Koopman Eigenfunctions and Invariant Subspaces from Data: Symmetric Subspace Decomposition Approximating the Koopman operator using noisy data: noise-resilient extended dynamic mode decomposition,
Reference 37
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 09235291-7c11-4339-9a97-2dc001b0bb86 · outbound
Learning Koopman Eigenfunctions and Invariant Subspaces from Data: Symmetric Subspace Decomposition Lift & learn: Physics-informed machine learning for large-scale nonlinear dynamical systems,
Reference 38
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 cc547396-c76b-4be5-b2da-5002a119af74 · outbound
Learning Koopman Eigenfunctions and Invariant Subspaces from Data: Symmetric Subspace Decomposition Extended dynamic mode decomposition with dictionary learning: A data-driven adaptive spectral decomposition of the Koopman operator,
Reference 39
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 6aba9d3d-bb78-42bc-949c-e37a643152b0 · outbound
Learning Koopman Eigenfunctions and Invariant Subspaces from Data: Symmetric Subspace Decomposition Learning Koopman invariant subspaces for dynamic mode decomposition,
Reference 40
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 b2dc3b78-fd09-432e-b964-e01e696d65c4 · outbound
Learning Koopman Eigenfunctions and Invariant Subspaces from Data: Symmetric Subspace Decomposition Learning deep neural network representations for Koopman operators of nonlinear dynamical systems,
Reference 41
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 ad5e63eb-f4d9-4975-a7f5-20c288b623bc · outbound
Learning Koopman Eigenfunctions and Invariant Subspaces from Data: Symmetric Subspace Decomposition Linearly recurrent autoencoder networks for learning dynamics,
Reference 42
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 6f3da56a-a4c8-405d-aabf-3f70d1cd2616 · outbound
Learning Koopman Eigenfunctions and Invariant Subspaces from Data: Symmetric Subspace Decomposition Koop- man invariant subspaces and finite linear representations of nonlinear dynamical systems for control,
Reference 43
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 a2356d4f-c7be-47da-9eba-9c8d10833723 · outbound
Learning Koopman Eigenfunctions and Invariant Subspaces from Data: Symmetric Subspace Decomposition Optimal construction of Koopman eigen- functions for prediction and control,
Reference 44
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 cb581edd-8f9c-476a-bef3-4b5da960fb94 · outbound
Learning Koopman Eigenfunctions and Invariant Subspaces from Data: Symmetric Subspace Decomposition Data-driven approximation of the Koopman generator: Model reduction, system identification, and control
Reference 45
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 e7f1b50e-2c95-4e1e-aede-d968dcb9b596 · outbound
Learning Koopman Eigenfunctions and Invariant Subspaces from Data: Symmetric Subspace Decomposition Unresolved cited work
Reference 46
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 899bc263-1573-4476-a325-7865c15a2001 · outbound
Learning Koopman Eigenfunctions and Invariant Subspaces from Data: Symmetric Subspace Decomposition Optimal construction of Koopman eigenfunctions for prediction and control,
Reference 47
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 25ba6638-5e58-4f72-8cb7-6ad740bc5c40 · outbound
Learning Koopman Eigenfunctions and Invariant Subspaces from Data: Symmetric Subspace Decomposition Tutorial: Complexity analysis of Singular Value Decomposition and its variants
Reference 48
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b67a687f-a2c6-4c30-b2eb-f6048c14a34c · outbound
Learning Koopman Eigenfunctions and Invariant Subspaces from Data: Symmetric Subspace Decomposition Symmetric gauge functions and unitarily invariant norms,
Reference 49
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 559c450c-d017-4286-8c81-026f43fbb296 · outbound
Learning Koopman Eigenfunctions and Invariant Subspaces from Data: Symmetric Subspace Decomposition Overview of total least-squares meth- ods,
Reference 50
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 b586d821-b832-4ee7-9577-115de7bb448d · outbound
Learning Koopman Eigenfunctions and Invariant Subspaces from Data: Symmetric Subspace Decomposition The approximation of one matrix by another of lower rank,
Reference 51
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation bdfe2892-0b9e-4518-aebd-347108c82432 · outbound
Learning Koopman Eigenfunctions and Invariant Subspaces from Data: Symmetric Subspace Decomposition Non-local linearization of nonlinear differential equations via polyflows,
Reference 52
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 8144b77d-f1c0-41af-8d1f-da05d5f64fc6 · outbound
Learning Koopman Eigenfunctions and Invariant Subspaces from Data: Symmetric Subspace Decomposition degree, in 2013, and M.Sc
Reference 1991
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 4227d4f5-9a84-498f-a0bd-fba4f560a922 · outbound
Learning Koopman Eigenfunctions and Invariant Subspaces from Data: Symmetric Subspace Decomposition He was an Assistant Professor with the Department of Applied Mathematics and Statistics, University of California, Santa Cruz, CA, USA, from 2004 to 2007
Reference 2001
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.
No inbound Pith citation observations are available.