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Paper Citation Record · LEDGER

On the relationship between Koopman operator approximations and neural ordinary differential equations for data-driven time-evolution predictions

As of 15 August 2026, this Paper Citation Record lists 65 of 65 outbound references and 0 inbound Pith citation observations for arXiv:2411.12940.

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

pith.paper-citation-record.v1
2411.12940 v2

Coverage vector

measured 65 of 65 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T17:08:12.856730Z

measured 65 of 65 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+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

65 of 65 outbound references displayed

  • verified exact9
  • verified fuzzy8
  • unresolved45
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch3

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 9e445512-40ec-4e3d-972d-59237ef456c4 · outbound

This paper cites an unresolved cited work.

On the relationship between Koopman operator approximations and neural ordinary differential equations for data-driven time-evolution predictions Unresolved cited work

Reference 1

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation f828b0cf-caa3-403a-9bc2-29960345c7a2 · outbound

This paper cites Li , author F.

On the relationship between Koopman operator approximations and neural ordinary differential equations for data-driven time-evolution predictions Li , author F

Reference 2

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Source-reported events for the cited work

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Observation 73b1108c-9723-4939-ad69-942011fc9004 · outbound

This paper cites Budišić , author R.

On the relationship between Koopman operator approximations and neural ordinary differential equations for data-driven time-evolution predictions Budišić , author R

Reference 3

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Observation d6543770-aa9c-40a8-9c4e-e25da03b917d · outbound

This paper cites an unresolved cited work.

On the relationship between Koopman operator approximations and neural ordinary differential equations for data-driven time-evolution predictions Unresolved cited work

Reference 4

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Observation bc5096f6-6f10-4784-bee1-14d5d47446b6 · outbound

This paper cites an unresolved cited work.

On the relationship between Koopman operator approximations and neural ordinary differential equations for data-driven time-evolution predictions Unresolved cited work

Reference 5

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Observation d9a5d1f2-7700-468d-8d11-eeae21c8a029 · outbound

This paper cites an unresolved cited work.

On the relationship between Koopman operator approximations and neural ordinary differential equations for data-driven time-evolution predictions Unresolved cited work

Reference 6

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Observation 666c3b48-2a37-4864-bd9f-67a4432386ba · outbound

This paper cites an unresolved cited work.

On the relationship between Koopman operator approximations and neural ordinary differential equations for data-driven time-evolution predictions Unresolved cited work

Reference 7

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation 410c4166-0e9f-40af-80dc-d7df9e2810fe · outbound

This paper cites an unresolved cited work.

On the relationship between Koopman operator approximations and neural ordinary differential equations for data-driven time-evolution predictions Unresolved cited work

Reference 8

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Observation ab30b2ec-beb9-4970-99cd-31e8cdca0d78 · outbound

This paper cites an unresolved cited work.

On the relationship between Koopman operator approximations and neural ordinary differential equations for data-driven time-evolution predictions Unresolved cited work

Reference 9

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Observation 70c7accb-80b6-4523-8276-4a7138580cd0 · outbound

This paper cites an unresolved cited work.

On the relationship between Koopman operator approximations and neural ordinary differential equations for data-driven time-evolution predictions Unresolved cited work

Reference 10

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Observation 6423e3b2-c348-4f39-ad9b-7db05d182c03 · outbound

This paper cites an unresolved cited work.

On the relationship between Koopman operator approximations and neural ordinary differential equations for data-driven time-evolution predictions Unresolved cited work

Reference 11

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Observation 611fe2cf-dc76-46d3-9d38-a2ed3a4df75d · outbound

This paper cites Wu , author S.

On the relationship between Koopman operator approximations and neural ordinary differential equations for data-driven time-evolution predictions Wu , author S

Reference 12

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verified exact
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 8420988c-2d42-4f96-ac43-17efe5c81e86 · outbound

This paper cites The Multiverse of Dynamic Mode Decomposition Algorithms.

On the relationship between Koopman operator approximations and neural ordinary differential equations for data-driven time-evolution predictions The Multiverse of Dynamic Mode Decomposition Algorithms

Reference 13

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Observation bc5f01b3-ed13-465e-b58a-8636cd75e6c6 · outbound

This paper cites an unresolved cited work.

On the relationship between Koopman operator approximations and neural ordinary differential equations for data-driven time-evolution predictions Unresolved cited work

Reference 14

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation ffdaa299-d3ed-4a67-8a7e-e98c23453574 · outbound

This paper cites an unresolved cited work.

On the relationship between Koopman operator approximations and neural ordinary differential equations for data-driven time-evolution predictions Unresolved cited work

Reference 15

Resolution
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Source-reported events for the cited work

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Observation 9dba2ff2-8cde-465e-9667-49212408fab1 · outbound

This paper cites an unresolved cited work.

On the relationship between Koopman operator approximations and neural ordinary differential equations for data-driven time-evolution predictions Unresolved cited work

Reference 16

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 08dd8747-b0d8-4dec-a918-267916b2e981 · outbound

This paper cites Lusch , author J.

On the relationship between Koopman operator approximations and neural ordinary differential equations for data-driven time-evolution predictions Lusch , author J

Reference 17

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Observation 4d173493-5200-4af5-ad04-4a4802aea593 · outbound

This paper cites an unresolved cited work.

On the relationship between Koopman operator approximations and neural ordinary differential equations for data-driven time-evolution predictions Unresolved cited work

Reference 18

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Observation 19694090-c2bd-4abe-85f4-dee6e2c9b3da · outbound

This paper cites an unresolved cited work.

On the relationship between Koopman operator approximations and neural ordinary differential equations for data-driven time-evolution predictions Unresolved cited work

Reference 19

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Source-reported events for the cited work

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Observation 5018ddfe-4c8d-4443-8904-aeecacfa378c · outbound

This paper cites Eivazi , author L.

On the relationship between Koopman operator approximations and neural ordinary differential equations for data-driven time-evolution predictions Eivazi , author L

Reference 20

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Source-reported events for the cited work

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Observation 6b36bcdb-33f4-4201-9d66-8e71b41ab02d · outbound

This paper cites Junker , author J.

On the relationship between Koopman operator approximations and neural ordinary differential equations for data-driven time-evolution predictions Junker , author J

Reference 21

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verified exact
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation d4836fbd-349b-4fe1-8679-4c4b4d3be691 · outbound

This paper cites Van Goor , author R.

On the relationship between Koopman operator approximations and neural ordinary differential equations for data-driven time-evolution predictions Van Goor , author R

Reference 22

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This paper cites Leveraging KANs For Enhanced Deep Koopman Operator Discovery.

On the relationship between Koopman operator approximations and neural ordinary differential equations for data-driven time-evolution predictions Leveraging KANs For Enhanced Deep Koopman Operator Discovery

Reference 23

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Observation 0a0ffc70-9018-44ee-83e9-526742f17f0f · outbound

This paper cites Rico-Martinez , author K.

On the relationship between Koopman operator approximations and neural ordinary differential equations for data-driven time-evolution predictions Rico-Martinez , author K

Reference 24

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Observation 98b79079-0cc0-41cb-8bc9-334bebab64f6 · outbound

This paper cites Rico-Martinez , author J.

On the relationship between Koopman operator approximations and neural ordinary differential equations for data-driven time-evolution predictions Rico-Martinez , author J

Reference 25

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Observation d4dd140b-7ec3-413f-b472-a82fce5e2bd3 · outbound

This paper cites Rico-Martinez \ and\ author I.

On the relationship between Koopman operator approximations and neural ordinary differential equations for data-driven time-evolution predictions Rico-Martinez \ and\ author I

Reference 26

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Observation 921d831e-71d8-4f9c-9363-49ca0c0de6be · outbound

This paper cites an unresolved cited work.

On the relationship between Koopman operator approximations and neural ordinary differential equations for data-driven time-evolution predictions Unresolved cited work

Reference 27

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 1b4cb172-7333-42dc-a111-cc0eccdaaa53 · outbound

This paper cites an unresolved cited work.

On the relationship between Koopman operator approximations and neural ordinary differential equations for data-driven time-evolution predictions Unresolved cited work

Reference 28

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Observation a455e759-9baa-42b4-990d-31bdf5d7514d · outbound

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On the relationship between Koopman operator approximations and neural ordinary differential equations for data-driven time-evolution predictions Unresolved cited work

Reference 29

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Source-reported events for the cited work

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Observation 996030aa-cf39-463d-b2cd-ed9bb4c6725b · outbound

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On the relationship between Koopman operator approximations and neural ordinary differential equations for data-driven time-evolution predictions Lasota \ and\ author M

Reference 30

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Observation bca866b6-87e1-4704-96d8-c5412c4dee2c · outbound

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On the relationship between Koopman operator approximations and neural ordinary differential equations for data-driven time-evolution predictions Abraham , author J

Reference 31

Resolution
verified fuzzy
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Source-reported events for the cited work

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Observation cb4a0ccc-e5db-4d0a-a13e-364af3054e7a · outbound

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On the relationship between Koopman operator approximations and neural ordinary differential equations for data-driven time-evolution predictions Cvitanović , author R

Reference 32

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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On the relationship between Koopman operator approximations and neural ordinary differential equations for data-driven time-evolution predictions Mauroy \ and\ author J

Reference 33

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On the relationship between Koopman operator approximations and neural ordinary differential equations for data-driven time-evolution predictions Klus , author P

Reference 34

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On the relationship between Koopman operator approximations and neural ordinary differential equations for data-driven time-evolution predictions Korda \ and\ author I

Reference 35

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Source-reported events for the cited work

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Observation b92b5c6f-e820-4fb0-a0ef-4ae94c6fa4b8 · outbound

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On the relationship between Koopman operator approximations and neural ordinary differential equations for data-driven time-evolution predictions Unresolved cited work

Reference 36

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation cace45bd-afdd-4d36-b682-7af8476bf0ad · outbound

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On the relationship between Koopman operator approximations and neural ordinary differential equations for data-driven time-evolution predictions Kidger , author J

Reference 37

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation be609f27-40db-41a5-977b-c48f81b47121 · outbound

This paper cites On Neural Differential Equations.

On the relationship between Koopman operator approximations and neural ordinary differential equations for data-driven time-evolution predictions On Neural Differential Equations

Reference 38

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation d3e54b7b-7569-4418-8e16-7c1c17e6ef08 · outbound

This paper cites Finlay , author J.-H.

On the relationship between Koopman operator approximations and neural ordinary differential equations for data-driven time-evolution predictions Finlay , author J.-H

Reference 39

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 5f9016f9-7f67-471c-83ab-baf364555265 · outbound

This paper cites Kelly , author J.

On the relationship between Koopman operator approximations and neural ordinary differential equations for data-driven time-evolution predictions Kelly , author J

Reference 40

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation afd3f824-5cf4-4690-803e-4aeb03af9a89 · outbound

This paper cites an unresolved cited work.

On the relationship between Koopman operator approximations and neural ordinary differential equations for data-driven time-evolution predictions Unresolved cited work

Reference 41

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation b2805bb2-a6a7-4fa4-8d12-71d641849368 · outbound

This paper cites an unresolved cited work.

On the relationship between Koopman operator approximations and neural ordinary differential equations for data-driven time-evolution predictions Unresolved cited work

Reference 42

Resolution
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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 094fb4da-6da9-4b18-8ff2-8e6397b97c7e · outbound

This paper cites Ansel , author E.

On the relationship between Koopman operator approximations and neural ordinary differential equations for data-driven time-evolution predictions Ansel , author E

Reference 43

Resolution
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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation fedcfc1c-3db7-4f18-8c19-458550725e3d · outbound

This paper cites Folkestad , author S.

On the relationship between Koopman operator approximations and neural ordinary differential equations for data-driven time-evolution predictions Folkestad , author S

Reference 44

Resolution
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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation 5e11383d-2e7c-481c-b9bb-741c1400d186 · outbound

This paper cites Korda \ and\ author I.

On the relationship between Koopman operator approximations and neural ordinary differential equations for data-driven time-evolution predictions Korda \ and\ author I

Reference 45

Resolution
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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation 238f5128-35ac-4bb7-84f5-ddea637851e5 · outbound

This paper cites Data-driven Koopman operator predictions of turbulent dynamics in models of shear flows.

On the relationship between Koopman operator approximations and neural ordinary differential equations for data-driven time-evolution predictions Data-driven Koopman operator predictions of turbulent dynamics in models of shear flows

Reference 46

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation 29f613ba-3abc-4ebb-8fd1-7807ec5d25fa · outbound

This paper cites Mauroy \ and\ author J.

On the relationship between Koopman operator approximations and neural ordinary differential equations for data-driven time-evolution predictions Mauroy \ and\ author J

Reference 47

Resolution
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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation 41b66fbf-4842-40b7-849e-343a33d3f940 · outbound

This paper cites Klus , author F.

On the relationship between Koopman operator approximations and neural ordinary differential equations for data-driven time-evolution predictions Klus , author F

Reference 48

Resolution
unresolved
no resolver link, observed 2026-08-12T17:08:12.772486Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation 1a3b4dc2-016f-402f-aa50-02d9f95b51d6 · outbound

This paper cites Peitz , author S.

On the relationship between Koopman operator approximations and neural ordinary differential equations for data-driven time-evolution predictions Peitz , author S

Reference 49

Resolution
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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation 16a93e38-56c5-4390-bb0e-123ab1cf9ba9 · outbound

This paper cites Modularized data-driven approximation of the Koopman operator and generator.

On the relationship between Koopman operator approximations and neural ordinary differential equations for data-driven time-evolution predictions Modularized data-driven approximation of the Koopman operator and generator

Reference 50

Resolution
unresolved
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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation 4b4e6f31-3048-45fe-82d4-f8c40f7401db · outbound

This paper cites Racca \ and\ author L.

On the relationship between Koopman operator approximations and neural ordinary differential equations for data-driven time-evolution predictions Racca \ and\ author L

Reference 51

Resolution
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Source-reported events for the cited work

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Observation 0b72cf37-b555-41c0-ba7c-7ef6fe415c93 · outbound

This paper cites an unresolved cited work.

On the relationship between Koopman operator approximations and neural ordinary differential equations for data-driven time-evolution predictions Unresolved cited work

Reference 52

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 5bb2f391-7c54-4c83-84f8-7b1dc9153b70 · outbound

This paper cites an unresolved cited work.

On the relationship between Koopman operator approximations and neural ordinary differential equations for data-driven time-evolution predictions Unresolved cited work

Reference 53

Resolution
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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation 7f545c5f-7180-4392-b130-ed536b9689a3 · outbound

This paper cites an unresolved cited work.

On the relationship between Koopman operator approximations and neural ordinary differential equations for data-driven time-evolution predictions Unresolved cited work

Reference 54

Resolution
verified exact
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 3b62b751-3f3a-484c-9a74-cb7673db5645 · outbound

This paper cites an unresolved cited work.

On the relationship between Koopman operator approximations and neural ordinary differential equations for data-driven time-evolution predictions Unresolved cited work

Reference 55

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation 0fb6ab8d-fff5-47d7-bb5c-e937a960334a · outbound

This paper cites Moehlis , author H.

On the relationship between Koopman operator approximations and neural ordinary differential equations for data-driven time-evolution predictions Moehlis , author H

Reference 56

Resolution
unresolved
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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation 633cb119-4c6c-4e10-bae6-e1616461388b · outbound

This paper cites Moehlis , author H.

On the relationship between Koopman operator approximations and neural ordinary differential equations for data-driven time-evolution predictions Moehlis , author H

Reference 57

Resolution
verified exact
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 7fea0d05-b4cb-4079-b246-f7ba23a4c7a2 · outbound

This paper cites Viswanath ,\ @noop title Lyapunov exponents from random Fibonacci sequences to the Lorenz equations \ ( publisher Cornell University ,\ year 1998 ) NoStop.

On the relationship between Koopman operator approximations and neural ordinary differential equations for data-driven time-evolution predictions Viswanath ,\ @noop title Lyapunov exponents from random Fibonacci sequences to the Lorenz equations \ ( publisher Cornell University ,\ year 1998 ) NoStop

Reference 58

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 48138dbc-c8e6-48f6-9a0b-5ee76c33d433 · outbound

This paper cites Kaiser , author J.

On the relationship between Koopman operator approximations and neural ordinary differential equations for data-driven time-evolution predictions Kaiser , author J

Reference 59

Resolution
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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation 0b019a2b-19c6-4b2a-9e1f-6bebfe42d4e2 · outbound

This paper cites Page \ and\ author R.

On the relationship between Koopman operator approximations and neural ordinary differential equations for data-driven time-evolution predictions Page \ and\ author R

Reference 60

Resolution
unresolved
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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation e773611e-7996-46c5-b005-f0dff26b9644 · outbound

This paper cites Cenedese , author J.

On the relationship between Koopman operator approximations and neural ordinary differential equations for data-driven time-evolution predictions Cenedese , author J

Reference 61

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unresolved
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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-12T17:08:12.836977Z digest=sha256:7b6236c63d50d1767b11e1e83e26513f1d9f8ae12e61a5ce93afb263cfd722c2

Observation beb9c634-e8fd-44b5-bf4c-e9a8a992126c · outbound

This paper cites Haller \ and\ author B.

On the relationship between Koopman operator approximations and neural ordinary differential equations for data-driven time-evolution predictions Haller \ and\ author B

Reference 62

Resolution
unresolved
no resolver link, observed 2026-08-12T17:08:12.841707Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-12T17:08:12.841707Z digest=sha256:1e12ecf4ab9ab37f79da474db9479ce851a78bb48873e8b67753868cecaf1a40

Observation fccaeab3-7456-431f-a54c-f771edc68165 · outbound

This paper cites an unresolved cited work.

On the relationship between Koopman operator approximations and neural ordinary differential equations for data-driven time-evolution predictions Unresolved cited work

Reference 63

Resolution
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no resolver link, observed 2026-08-12T17:08:12.846224Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-12T17:08:12.846224Z digest=sha256:a459516373636e676a473e6c88458e69b49b81e758047480bab53e9a8baebb15

Observation 39dbcbb9-7a6c-4162-aef0-fbddc423faa7 · outbound

This paper cites Peyr \'e , author M.

On the relationship between Koopman operator approximations and neural ordinary differential equations for data-driven time-evolution predictions Peyr \'e , author M

Reference 64

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 6238f117-6400-4fe7-92e5-a7d7ea354ec1 · outbound

This paper cites Flamary , author N.

On the relationship between Koopman operator approximations and neural ordinary differential equations for data-driven time-evolution predictions Flamary , author N

Reference 65

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T17:08:14.411158Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Pith citing papers

No inbound Pith citation observations are available.