Pith. sign in

Paper Citation Record · LEDGER

Learning Koopman Eigenfunctions and Invariant Subspaces from Data: Symmetric Subspace Decomposition

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.

pith.paper-citation-record.v1
1909.01419 v4

Coverage vector

measured 54 of 54 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T05:28:30.274719Z

measured 54 of 54 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 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

54 of 54 outbound references displayed

  • verified exact3
  • verified fuzzy40
  • unresolved11
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation bbb0b4ad-a223-4412-9e67-005ce1c7a364 · outbound

This paper cites Efficient identification of linear evolutions in nonlinear vector fields: Koopman invariant subspaces,.

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

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:28:33.126662Z

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.

source=pdf_text observed=2026-08-14T05:28:29.288533Z digest=sha256:c23ca5d238f2d3ce1bc66a57af1fd0997f94f015ee61089e643bd18a7d9ad147

Observation b9f93d93-95cf-40ae-9897-73a0057a4a77 · outbound

This paper cites Hamiltonian systems and transformation in Hilbert space,.

Learning Koopman Eigenfunctions and Invariant Subspaces from Data: Symmetric Subspace Decomposition Hamiltonian systems and transformation in Hilbert space,

Reference 2

Resolution
unresolved
no resolver link, observed 2026-08-14T05:28:29.316589Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T05:28:29.316589Z digest=sha256:5cfc92ccca7d5a47ccd70143fa3a8287a1e32bd6fa9acac1fe90e8e95857d561

Observation 754be019-84f4-4f82-9444-e28921c5f6f7 · outbound

This paper cites Dynamical systems of continuous spectra,.

Learning Koopman Eigenfunctions and Invariant Subspaces from Data: Symmetric Subspace Decomposition Dynamical systems of continuous spectra,

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:28:33.019320Z

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.

source=pdf_text observed=2026-08-14T05:28:29.325508Z digest=sha256:66bb71681ea5005688ead5d94835898c2c9854d19cf58c2b492e63b2b40468c1

Observation 2af62975-0f32-49fd-9b25-c8c86cf63995 · outbound

This paper cites Spectral properties of dynamical systems, model reduction and decompositions,.

Learning Koopman Eigenfunctions and Invariant Subspaces from Data: Symmetric Subspace Decomposition Spectral properties of dynamical systems, model reduction and decompositions,

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:28:32.859295Z

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.

source=pdf_text observed=2026-08-14T05:28:29.344760Z digest=sha256:f27df15400f2d36face63f905dcfb5306dd03a78543d0fb799d7739ab63092d7

Observation f83c9d89-e3ba-4299-b316-ae24803d01b1 · outbound

This paper cites Spectral analysis of nonlinear flows,.

Learning Koopman Eigenfunctions and Invariant Subspaces from Data: Symmetric Subspace Decomposition Spectral analysis of nonlinear flows,

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:28:32.846505Z

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.

source=pdf_text observed=2026-08-14T05:28:29.353026Z digest=sha256:dfd4522818a05bc12c5aa7c4dce391912a47f3ef17a7b0ead986dec14d50b4f6

Observation 31610b87-072a-4e2c-8781-1f840524e0e3 · outbound

This paper cites Applied Koopmanism,.

Learning Koopman Eigenfunctions and Invariant Subspaces from Data: Symmetric Subspace Decomposition Applied Koopmanism,

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:28:32.832757Z

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.

source=pdf_text observed=2026-08-14T05:28:29.361678Z digest=sha256:8ca5184d7e5b9c785b22cb8d6a92482353d09749bea950641f449dc89aedbb3f

Observation 8c6d8172-eb50-4c08-a8ac-013f09c1ca9f · outbound

This paper cites Koopman operator framework for constrained state estimation,.

Learning Koopman Eigenfunctions and Invariant Subspaces from Data: Symmetric Subspace Decomposition Koopman operator framework for constrained state estimation,

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:28:32.785541Z

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.

source=pdf_text observed=2026-08-14T05:28:29.386796Z digest=sha256:6422e4386ced4a080b50164865b81a5d4f1b9c7287257ca5e5194b20c11420a3

Observation d984d801-b3b5-4ea6-b3a2-32a7cdbae1ba · outbound

This paper cites A robust data-driven Koopman Kalman filter for power systems dynamic state estimation,.

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

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:28:32.716217Z

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.

source=pdf_text observed=2026-08-14T05:28:29.400118Z digest=sha256:16f0bdd34c36e0332484d11acf62054e3ba4c68a8fb31a277af33764a921cf7e

Observation 1f77ab34-1cfd-4f87-ae9b-32c14b6fd554 · outbound

This paper cites Koopman-based lifting techniques for nonlinear systems identification,.

Learning Koopman Eigenfunctions and Invariant Subspaces from Data: Symmetric Subspace Decomposition Koopman-based lifting techniques for nonlinear systems identification,

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:28:32.703169Z

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.

source=pdf_text observed=2026-08-14T05:28:29.471083Z digest=sha256:8adf80c845164371191d28a6f88a34a72ef131e7a4afeac26a5e343c2fd7a9c2

Observation a9414e26-d3be-4e10-af84-31c13ec904b3 · outbound

This paper cites Nonlinear system identifi- cation of soft robot dynamics using Koopman operator theory,.

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

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:28:32.689409Z

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.

source=pdf_text observed=2026-08-14T05:28:29.544024Z digest=sha256:2e2816e7b7df178af0966ee82458c5b470743f91eda99fce090a2caf1801f360

Observation c234d220-5178-41a9-86dc-3eb8d8eee75a · outbound

This paper cites Sparse sensing and DMD-based identification of flow regimes and bifurcations in complex flows,.

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

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:28:32.677414Z

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.

source=pdf_text observed=2026-08-14T05:28:29.571980Z digest=sha256:6badaf7f50b4186410a7cfff600dcd7c9244652c0e9500569d85ca92112efa17

Observation 9517698a-ef90-4ceb-8e74-fec72267cf5d · outbound

This paper cites Operator theoretic framework for optimal placement of sensors and actuators for control of nonequilibrium dynamics,.

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

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:28:32.651654Z

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.

source=pdf_text observed=2026-08-14T05:28:29.577400Z digest=sha256:d78329fa79e39a29aa09710f8da6848da0b1d011be617932a095623710edd8e5

Observation cad837be-2cef-45e9-9797-f429530fbc30 · outbound

This paper cites Data-driven model reduction and transfer operator approximation,.

Learning Koopman Eigenfunctions and Invariant Subspaces from Data: Symmetric Subspace Decomposition Data-driven model reduction and transfer operator approximation,

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:28:32.505068Z

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.

source=pdf_text observed=2026-08-14T05:28:29.581387Z digest=sha256:a8777708b493602f2a63c45c3f92d9c4544cd408918c1f2e1c5f06cd2e49a503

Observation c7f21603-3e24-4313-a940-9881f28b7f2a · outbound

This paper cites Nonlinear model order reduction via dynamic mode decomposition,.

Learning Koopman Eigenfunctions and Invariant Subspaces from Data: Symmetric Subspace Decomposition Nonlinear model order reduction via dynamic mode decomposition,

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:28:32.493819Z

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.

source=pdf_text observed=2026-08-14T05:28:29.585950Z digest=sha256:729282e4f3a1ce743f884ead6e948c22e7a4042d7fb852aefa753456edb12f32

Observation 81af22cf-96cf-49e7-9ee5-e512dbe3c8eb · outbound

This paper cites Linear predictors for nonlinear dynamical sys- tems: Koopman operator meets model predictive control,.

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

Resolution
unresolved
no resolver link, observed 2026-08-14T05:28:29.590402Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T05:28:29.590402Z digest=sha256:5994fae2fed04d650021ab1850ee65eb0fef3170fa67cb1ae3ec43029eb1db6d

Observation a0984e01-96b9-44c0-9c65-4e7c25438440 · outbound

This paper cites A data-driven Koopman model predictive control framework for nonlinear flows.

Learning Koopman Eigenfunctions and Invariant Subspaces from Data: Symmetric Subspace Decomposition A data-driven Koopman model predictive control framework for nonlinear flows

Reference 16

Resolution
verified exact
local_arxiv, observed 2026-08-14T05:28:30.622161Z

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.

source=pdf_text observed=2026-08-14T05:28:29.595215Z digest=sha256:6c5e4327b536fc8b53ca5b207359007613c3f108b7198168d124871db676e4f8

Observation 72522e86-2743-434b-bdbc-fd912e61d642 · outbound

This paper cites Koopman operator-based model reduction for switched-system control of PDEs,.

Learning Koopman Eigenfunctions and Invariant Subspaces from Data: Symmetric Subspace Decomposition Koopman operator-based model reduction for switched-system control of PDEs,

Reference 17

Resolution
unresolved
no resolver link, observed 2026-08-14T05:28:29.600285Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T05:28:29.600285Z digest=sha256:335b49a1cd0a489bcad2f732aa332237981d62fdc5f9dc47e4c51b8c73ce6dbf

Observation d0d00d0d-2bcb-47e8-8a79-dcfe94fb2470 · outbound

This paper cites Feedback stabilization using Koop- man operator,.

Learning Koopman Eigenfunctions and Invariant Subspaces from Data: Symmetric Subspace Decomposition Feedback stabilization using Koop- man operator,

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:28:32.398367Z

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.

source=pdf_text observed=2026-08-14T05:28:29.604469Z digest=sha256:f644e10885750a0f28c325f2d0b7e3d137368156a9672ad2a90d038cae4ec1b6

Observation 48c7657a-a5bc-4076-863f-2ce75441d7e8 · outbound

This paper cites Data-driven discovery of Koopman eigenfunctions for control.

Learning Koopman Eigenfunctions and Invariant Subspaces from Data: Symmetric Subspace Decomposition Data-driven discovery of Koopman eigenfunctions for control

Reference 19

Resolution
unresolved
no resolver link, observed 2026-08-14T05:28:29.641144Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T05:28:29.641144Z digest=sha256:1543e25a5ca4a4eb9a356a9f191d94800540ba895c526134e172cb1449863cd2

Observation 34e2bf48-6d4f-4de3-ba21-b3f44cefbbad · outbound

This paper cites Pulse-based control using Koopman operator under parametric uncertainty,.

Learning Koopman Eigenfunctions and Invariant Subspaces from Data: Symmetric Subspace Decomposition Pulse-based control using Koopman operator under parametric uncertainty,

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:28:32.309880Z

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.

source=pdf_text observed=2026-08-14T05:28:29.681467Z digest=sha256:5f7da1280f2904f9247ea6745e9819cc22c7746a973167f434e343f64e3a2bb6

Observation 4f2c70d5-d039-44bc-89e5-50d1f4dea8b0 · outbound

This paper cites Data-driven feedback stabilization of nonlinear systems: Koopman-based model predictive control.

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

Resolution
verified exact
local_arxiv, observed 2026-08-14T05:28:30.485202Z

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.

source=pdf_text observed=2026-08-14T05:28:29.686643Z digest=sha256:d60346be553c8f041eb9656c0217f1a3707981ab6158af2423af57211b806597

Observation 87cab151-dc64-4ae6-8f5c-0ecc8b6cbcf9 · outbound

This paper cites Local Koopman operators for data-driven control of robotic systems,.

Learning Koopman Eigenfunctions and Invariant Subspaces from Data: Symmetric Subspace Decomposition Local Koopman operators for data-driven control of robotic systems,

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:28:32.298368Z

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.

source=pdf_text observed=2026-08-14T05:28:29.690403Z digest=sha256:d343456de2bad385507cddf869c90266cae803664fb59514cd46dcf521ea1aa3

Observation 3f7ac862-2e19-43f2-8b32-599ea7c4ed49 · outbound

This paper cites Control-oriented modeling of soft robotic swimmer with Koop- man operators,.

Learning Koopman Eigenfunctions and Invariant Subspaces from Data: Symmetric Subspace Decomposition Control-oriented modeling of soft robotic swimmer with Koop- man operators,

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:28:32.253500Z

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.

source=pdf_text observed=2026-08-14T05:28:29.696884Z digest=sha256:91e9a42a8815dc87677989298c4aeecaf0d8035714ea4fad2112b51d4e8c5c03

Observation e598e302-7192-46da-b405-c4a4cb922d5e · outbound

This paper cites Global stability analysis using the eigen- functions of the Koopman operator,.

Learning Koopman Eigenfunctions and Invariant Subspaces from Data: Symmetric Subspace Decomposition Global stability analysis using the eigen- functions of the Koopman operator,

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:28:32.083267Z

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.

source=pdf_text observed=2026-08-14T05:28:29.701716Z digest=sha256:c43733df45f2b24e24be8731d9a780a61fa419977c83a96028f5e377fe213750

Observation 14815956-490f-42be-b338-f83b09e30362 · outbound

This paper cites Dynamic mode decomposition of numerical and experi- mental data,.

Learning Koopman Eigenfunctions and Invariant Subspaces from Data: Symmetric Subspace Decomposition Dynamic mode decomposition of numerical and experi- mental data,

Reference 25

Resolution
unresolved
no resolver link, observed 2026-08-14T05:28:29.706824Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T05:28:29.706824Z digest=sha256:d37a136d3283686b0006795844ecc2be7b4e486355a8a89fefabe2f1928dcadb

Observation 5f8338fa-177d-4c74-ab8d-170c609d70ef · outbound

This paper cites Variants of dynamic mode decomposition: boundary condition, Koopman, and Fourier analyses,.

Learning Koopman Eigenfunctions and Invariant Subspaces from Data: Symmetric Subspace Decomposition Variants of dynamic mode decomposition: boundary condition, Koopman, and Fourier analyses,

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:28:32.056186Z

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.

source=pdf_text observed=2026-08-14T05:28:29.711057Z digest=sha256:1104778dd691176936b68846cdc2cb90b274dcb13255994edca669be6e27e152

Observation fffc8e15-c5de-4935-9f96-8fd466f3e6b9 · outbound

This paper cites On dynamic mode decomposition: theory and applications,.

Learning Koopman Eigenfunctions and Invariant Subspaces from Data: Symmetric Subspace Decomposition On dynamic mode decomposition: theory and applications,

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:28:32.044184Z

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.

source=pdf_text observed=2026-08-14T05:28:29.715810Z digest=sha256:aabb3b007a95682990f27eb717b9fdb40049e12bb9f553c120eae5b100d51e43

Observation 2f8415f3-02ff-401a-bb33-59101df1b52d · outbound

This paper cites Dynamic mode decomposition for large and streaming datasets,.

Learning Koopman Eigenfunctions and Invariant Subspaces from Data: Symmetric Subspace Decomposition Dynamic mode decomposition for large and streaming datasets,

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:28:31.947575Z

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.

source=pdf_text observed=2026-08-14T05:28:29.720230Z digest=sha256:fcd0a6834deda5750ae94ee2e9a2901727d3fda00ccab48e2a415b3b55b0eb82

Observation 97cf3f05-f8c4-4373-af03-b597c3241014 · outbound

This paper cites Online dynamic mode decomposition for time-varying systems,.

Learning Koopman Eigenfunctions and Invariant Subspaces from Data: Symmetric Subspace Decomposition Online dynamic mode decomposition for time-varying systems,

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:28:31.935203Z

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.

source=pdf_text observed=2026-08-14T05:28:29.724211Z digest=sha256:555739593e157dd4301b3b5832dd8d5c6cc3eff6c0823fcae703fcda0b3b65ef

Observation 77923b4a-d0e3-4396-be4d-2058ef865e82 · outbound

This paper cites A parallel and streaming dynamic mode decomposition algorithm with finite precision error analysis for large data,.

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

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:28:31.923518Z

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.

source=pdf_text observed=2026-08-14T05:28:29.774524Z digest=sha256:598eb88953db2f191a3e9d20304559d5ee553fafa2869537727827a71e793ea4

Observation 84f5b8e5-32eb-4c22-a907-e9864a2f4b15 · outbound

This paper cites Characterizing and correcting for the effect of sensor noise in the dynamic mode decomposition,.

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

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:28:31.757571Z

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.

source=pdf_text observed=2026-08-14T05:28:29.857102Z digest=sha256:4bebb475c2a6433957a6dc1bb20ddfd6ae440b32a11880dcb4dd225ee0f09f69

Observation 6d180950-bd06-40e7-a72f-b1383aace70b · outbound

This paper cites De-biasing the dynamic mode decomposition for applied Koopman spectral analysis of noisy datasets,.

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

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:28:31.669549Z

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.

source=pdf_text observed=2026-08-14T05:28:29.905702Z digest=sha256:430ccde34fbabf3b97f83d1a93c5f13481ccbe028e476a44f16772294a500ff1

Observation dd5b3b27-fef3-46da-9333-cf7da35744a1 · outbound

This paper cites Sparsity-promoting dynamic mode decomposition,.

Learning Koopman Eigenfunctions and Invariant Subspaces from Data: Symmetric Subspace Decomposition Sparsity-promoting dynamic mode decomposition,

Reference 33

Resolution
unresolved
no resolver link, observed 2026-08-14T05:28:29.909531Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T05:28:29.909531Z digest=sha256:3200d37b3a72212cba5a4f5e026935a5c416981e43209b7b913dc748b702960c

Observation 70fc8f50-19b9-4583-ae55-26c20849914d · outbound

This paper cites Higher-order dynamic mode decom- position,.

Learning Koopman Eigenfunctions and Invariant Subspaces from Data: Symmetric Subspace Decomposition Higher-order dynamic mode decom- position,

Reference 34

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:28:31.647137Z

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.

source=pdf_text observed=2026-08-14T05:28:29.913368Z digest=sha256:35e9ed9ac148b5ecf774bb1498e00e120f93a003ca9bc6e2af856ae73f82fd57

Observation e0fecd8a-532e-43c8-957e-99a8356483fd · outbound

This paper cites A data-driven approximation of the Koopman operator: Extending dynamic mode decomposition,.

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

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:28:31.512642Z

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.

source=pdf_text observed=2026-08-14T05:28:29.916595Z digest=sha256:c2956240042402b83c6e470caf5ecb6f5774c67583f15dd1ba8dd19a93ad937e

Observation fc7391e7-f37c-4ac5-ac1a-570f889aa370 · outbound

This paper cites On convergence of extended dynamic mode decomposition to the Koopman operator,.

Learning Koopman Eigenfunctions and Invariant Subspaces from Data: Symmetric Subspace Decomposition On convergence of extended dynamic mode decomposition to the Koopman operator,

Reference 36

Resolution
unresolved
no resolver link, observed 2026-08-14T05:28:29.921182Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T05:28:29.921182Z digest=sha256:e492fcf3c7d266021d7af018a72c7b1fc230a02bb2a70edc73f0302b734ed8f3

Observation 5944c714-6dfe-4db7-a379-36bee2701b06 · outbound

This paper cites Approximating the Koopman operator using noisy data: noise-resilient extended dynamic mode decomposition,.

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

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:28:31.447985Z

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.

source=pdf_text observed=2026-08-14T05:28:29.924170Z digest=sha256:fa26f5cb172a8bb2e84e7f748853ef2038074ff2da042e3e796d519bf0c5a582

Observation 09235291-7c11-4339-9a97-2dc001b0bb86 · outbound

This paper cites Lift & learn: Physics-informed machine learning for large-scale nonlinear dynamical systems,.

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

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:28:31.437330Z

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.

source=pdf_text observed=2026-08-14T05:28:29.927585Z digest=sha256:8e53c1febd156df9ee85bbd09a114509884654abd5d965fc3cfa86194b914639

Observation cc547396-c76b-4be5-b2da-5002a119af74 · outbound

This paper cites Extended dynamic mode decomposition with dictionary learning: A data-driven adaptive spectral decomposition of the Koopman operator,.

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

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:28:31.426632Z

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.

source=pdf_text observed=2026-08-14T05:28:29.931349Z digest=sha256:35a87d51f6e18ea5f4b84efdf1e23f414bdc8a2addd8227bad0ff3a9e231a414

Observation 6aba9d3d-bb78-42bc-949c-e37a643152b0 · outbound

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

Learning Koopman Eigenfunctions and Invariant Subspaces from Data: Symmetric Subspace Decomposition Learning Koopman invariant subspaces for dynamic mode decomposition,

Reference 40

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:28:31.415091Z

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.

source=pdf_text observed=2026-08-14T05:28:29.935338Z digest=sha256:9894256b975360f92cc180473591a0b679c16bc3b32d8717cf88759501468af3

Observation b2dc3b78-fd09-432e-b964-e01e696d65c4 · outbound

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

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

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:28:31.254276Z

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.

source=pdf_text observed=2026-08-14T05:28:29.938638Z digest=sha256:18814a861565806f3eda90b6b37525bae6486a5283007c4ba9ca1f2d006b9fdd

Observation ad5e63eb-f4d9-4975-a7f5-20c288b623bc · outbound

This paper cites Linearly recurrent autoencoder networks for learning dynamics,.

Learning Koopman Eigenfunctions and Invariant Subspaces from Data: Symmetric Subspace Decomposition Linearly recurrent autoencoder networks for learning dynamics,

Reference 42

Resolution
unresolved
no resolver link, observed 2026-08-14T05:28:29.941940Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T05:28:29.941940Z digest=sha256:486497e81d7b26dc0915f71697ab867d259d282925e67fa8dd6106f5558fb85e

Observation 6f3da56a-a4c8-405d-aabf-3f70d1cd2616 · outbound

This paper cites Koop- man invariant subspaces and finite linear representations of nonlinear dynamical systems for control,.

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

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:28:31.235750Z

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.

source=pdf_text observed=2026-08-14T05:28:29.945542Z digest=sha256:4b711a11195ee2ed0d97fd89a2dd73ff1d4c2d4e3f39e8e90b6b470cb19a0040

Observation a2356d4f-c7be-47da-9eba-9c8d10833723 · outbound

This paper cites Optimal construction of Koopman eigen- functions for prediction and control,.

Learning Koopman Eigenfunctions and Invariant Subspaces from Data: Symmetric Subspace Decomposition Optimal construction of Koopman eigen- functions for prediction and control,

Reference 44

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:28:31.223924Z

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.

source=pdf_text observed=2026-08-14T05:28:29.998466Z digest=sha256:03b8b1dc22a258b86fb1684953d294488bc86e9896c1f1517c087b3abc739a3d

Observation cb581edd-8f9c-476a-bef3-4b5da960fb94 · outbound

This paper cites Data-driven approximation of the Koopman generator: Model reduction, system identification, and control.

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

Resolution
verified exact
local_arxiv, observed 2026-08-14T05:28:30.446431Z

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.

source=pdf_text observed=2026-08-14T05:28:30.087633Z digest=sha256:6029dbebeb46dda6b841d60199164c261ee4678e22d3d6624dea52757f16a852

Observation e7f1b50e-2c95-4e1e-aede-d968dcb9b596 · outbound

This paper cites an unresolved cited work.

Learning Koopman Eigenfunctions and Invariant Subspaces from Data: Symmetric Subspace Decomposition Unresolved cited work

Reference 46

Resolution
unresolved
raw_fallback, observed 2026-08-14T05:28:31.133546Z

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.

source=pdf_text observed=2026-08-14T05:28:30.092383Z digest=sha256:728670d65d0dd8464592e8810370c214a2a1f0827e2fac8083a52da9942d5136

Observation 899bc263-1573-4476-a325-7865c15a2001 · outbound

This paper cites Optimal construction of Koopman eigenfunctions for prediction and control,.

Learning Koopman Eigenfunctions and Invariant Subspaces from Data: Symmetric Subspace Decomposition Optimal construction of Koopman eigenfunctions for prediction and control,

Reference 47

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:28:31.057053Z

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.

source=pdf_text observed=2026-08-14T05:28:30.095907Z digest=sha256:9a4fd275d62c4bd5d37e517d7e3f0b1c40690340bcef6a3def985d0f23b4c0dd

Observation 25ba6638-5e58-4f72-8cb7-6ad740bc5c40 · outbound

This paper cites Tutorial: Complexity analysis of Singular Value Decomposition and its variants.

Learning Koopman Eigenfunctions and Invariant Subspaces from Data: Symmetric Subspace Decomposition Tutorial: Complexity analysis of Singular Value Decomposition and its variants

Reference 48

Resolution
unresolved
no resolver link, observed 2026-08-14T05:28:30.100701Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T05:28:30.100701Z digest=sha256:5ac2366d99d48d9fd62742ad37c26c16fc96bca92f31de0e4bde0354d6d679c7

Observation b67a687f-a2c6-4c30-b2eb-f6048c14a34c · outbound

This paper cites Symmetric gauge functions and unitarily invariant norms,.

Learning Koopman Eigenfunctions and Invariant Subspaces from Data: Symmetric Subspace Decomposition Symmetric gauge functions and unitarily invariant norms,

Reference 49

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:28:31.038735Z

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.

source=pdf_text observed=2026-08-14T05:28:30.104672Z digest=sha256:400573e695463641f994cb1af27afdddd0234092f07c477765d9e828dc54375a

Observation 559c450c-d017-4286-8c81-026f43fbb296 · outbound

This paper cites Overview of total least-squares meth- ods,.

Learning Koopman Eigenfunctions and Invariant Subspaces from Data: Symmetric Subspace Decomposition Overview of total least-squares meth- ods,

Reference 50

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:28:30.873438Z

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.

source=pdf_text observed=2026-08-14T05:28:30.109199Z digest=sha256:31151db6f416b8552199a43df8ecd93583004123a2aac94684706e37d552e410

Observation b586d821-b832-4ee7-9577-115de7bb448d · outbound

This paper cites The approximation of one matrix by another of lower rank,.

Learning Koopman Eigenfunctions and Invariant Subspaces from Data: Symmetric Subspace Decomposition The approximation of one matrix by another of lower rank,

Reference 51

Resolution
unresolved
no resolver link, observed 2026-08-14T05:28:30.112683Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T05:28:30.112683Z digest=sha256:87b5c7ed7cbdc43494f783417bcee674d297ed68145ccd3b1582a6e132991496

Observation bdfe2892-0b9e-4518-aebd-347108c82432 · outbound

This paper cites Non-local linearization of nonlinear differential equations via polyflows,.

Learning Koopman Eigenfunctions and Invariant Subspaces from Data: Symmetric Subspace Decomposition Non-local linearization of nonlinear differential equations via polyflows,

Reference 52

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:28:30.836935Z

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.

source=pdf_text observed=2026-08-14T05:28:30.117143Z digest=sha256:fe42747ed5109eb138dfc212303652fcc3567248d4613a7226049ef8764eb24e

Observation 8144b77d-f1c0-41af-8d1f-da05d5f64fc6 · outbound

This paper cites degree, in 2013, and M.Sc.

Learning Koopman Eigenfunctions and Invariant Subspaces from Data: Symmetric Subspace Decomposition degree, in 2013, and M.Sc

Reference 1991

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:28:30.764514Z

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.

source=pdf_text observed=2026-08-14T05:28:30.181235Z digest=sha256:9fb584c56524948ed3d982339768951f03b61e45be774cfd92b110350f6c9cd0

Observation 4227d4f5-9a84-498f-a0bd-fba4f560a922 · outbound

This paper cites He was an Assistant Professor with the Department of Applied Mathematics and Statistics, University of California, Santa Cruz, CA, USA, from 2004 to 2007.

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

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:28:30.693693Z

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.

source=pdf_text observed=2026-08-14T05:28:30.274719Z digest=sha256:838ad972ccf82cfb202469102b08a424108ae981618fb09c43ece05655ebb50f

Pith citing papers

No inbound Pith citation observations are available.