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Paper Citation Record · LEDGER

On the Generalisation of Koopman Representations for Chaotic System Control

As of 6 August 2026, this Paper Citation Record lists 52 of 52 outbound references and 0 inbound Pith citation observations for arXiv:2508.18954.

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

pith.paper-citation-record.v1
2508.18954 v1

Coverage vector

measured 52 of 52 reference resolution

Typed states for the displayed outbound observations.

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One-hop event checks from named stored sources.

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measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

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measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

52 of 52 outbound references displayed

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External citation measurements

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Outbound references

Observation 719e57fb-ab4d-4030-8b5a-ec57cd1b4962 · outbound

This paper cites Learning chaotic dynamics by neural networks.

On the Generalisation of Koopman Representations for Chaotic System Control Learning chaotic dynamics by neural networks

Reference 1

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Observation 81a749db-95b3-454d-a4f9-88d68602f235 · outbound

This paper cites Hamiltonian Systems and Transformation in Hilbert Space.

On the Generalisation of Koopman Representations for Chaotic System Control Hamiltonian Systems and Transformation in Hilbert Space

Reference 2

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This paper cites Applied koopmanism.

On the Generalisation of Koopman Representations for Chaotic System Control Applied koopmanism

Reference 3

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This paper cites Transformers for modeling physical systems.

On the Generalisation of Koopman Representations for Chaotic System Control Transformers for modeling physical systems

Reference 4

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On the Generalisation of Koopman Representations for Chaotic System Control Unresolved cited work

Reference 5

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This paper cites Attention is all you need.

On the Generalisation of Koopman Representations for Chaotic System Control Attention is all you need

Reference 6

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Observation 8ec2e621-34e2-4e44-b814-b64b8ea8177b · outbound

This paper cites Universal Language Model Fine-tuning for Text Classification.

On the Generalisation of Koopman Representations for Chaotic System Control Universal Language Model Fine-tuning for Text Classification

Reference 7

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Observation 33cd442e-42ef-4823-9db5-c601f685c826 · outbound

This paper cites Improving language un- derstanding by generative pre-training.

On the Generalisation of Koopman Representations for Chaotic System Control Improving language un- derstanding by generative pre-training

Reference 8

Resolution
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Observation 1f012b90-24d0-44e1-bb42-282086d21c4b · outbound

This paper cites Robot learning with sensorimotor pre-training.

On the Generalisation of Koopman Representations for Chaotic System Control Robot learning with sensorimotor pre-training

Reference 9

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Observation 30e1f064-cc96-4c8f-8cd0-f351e901ed20 · outbound

This paper cites Dynamics of partial control.

On the Generalisation of Koopman Representations for Chaotic System Control Dynamics of partial control

Reference 10

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Observation cac1d91b-5749-4d21-92f4-4daec89a25b0 · outbound

This paper cites Partially controlling transient chaos in the Lorenz equations.

On the Generalisation of Koopman Representations for Chaotic System Control Partially controlling transient chaos in the Lorenz equations

Reference 11

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Observation 47e49a04-354b-4ec5-a687-f472f90ccf60 · outbound

This paper cites AI-driven control of chaos: A transformer-based approach for dynami- cal systems.

On the Generalisation of Koopman Representations for Chaotic System Control AI-driven control of chaos: A transformer-based approach for dynami- cal systems

Reference 12

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This paper cites Deterministic Nonperiodic Flow 1.

On the Generalisation of Koopman Representations for Chaotic System Control Deterministic Nonperiodic Flow 1

Reference 13

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This paper cites Modeling the dynamics of PDE systems with physics- constrained deep auto-regressive networks.

On the Generalisation of Koopman Representations for Chaotic System Control Modeling the dynamics of PDE systems with physics- constrained deep auto-regressive networks

Reference 14

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On the Generalisation of Koopman Representations for Chaotic System Control On the concept of attractor

Reference 15

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This paper cites A data–driven approximation of the koopman operator: Extending dynamic mode decomposition.

On the Generalisation of Koopman Representations for Chaotic System Control A data–driven approximation of the koopman operator: Extending dynamic mode decomposition

Reference 16

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Observation ee662f8c-45c2-4eb0-aef6-e1737a330f3a · outbound

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On the Generalisation of Koopman Representations for Chaotic System Control Relational inductive biases, deep learning, and graph networks

Reference 17

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This paper cites Physics-Informed Koopman Net- work for time-series prediction of dynami- cal systems.

On the Generalisation of Koopman Representations for Chaotic System Control Physics-Informed Koopman Net- work for time-series prediction of dynami- cal systems

Reference 18

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Observation 3b7b1447-6439-40b6-b15a-e4a75d6ef1c6 · outbound

This paper cites Curriculum Learning.

On the Generalisation of Koopman Representations for Chaotic System Control Curriculum Learning

Reference 19

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Observation 1096b1e9-6f57-4eb4-94ec-03d89b55d088 · outbound

This paper cites Transfer learning for nonlinear dynamics and its application to fluid turbulence.

On the Generalisation of Koopman Representations for Chaotic System Control Transfer learning for nonlinear dynamics and its application to fluid turbulence

Reference 20

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This paper cites Three-dimensional ESRGAN for super-resolution reconstruction of turbulent flows with tricubic interpolation- based transfer learning.

On the Generalisation of Koopman Representations for Chaotic System Control Three-dimensional ESRGAN for super-resolution reconstruction of turbulent flows with tricubic interpolation- based transfer learning

Reference 21

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On the Generalisation of Koopman Representations for Chaotic System Control Language mod- els are unsupervised multitask learners

Reference 22

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Observation c7ce590c-e8c1-4d96-9e5e-0c6782d1841b · outbound

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On the Generalisation of Koopman Representations for Chaotic System Control On layer normalization in the trans- former architecture

Reference 23

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Observation 2730b3ce-2a87-4274-a495-27d493b99fb1 · outbound

This paper cites A learning al- gorithm for continually running fully recurrent neural networks.

On the Generalisation of Koopman Representations for Chaotic System Control A learning al- gorithm for continually running fully recurrent neural networks

Reference 24

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On the Generalisation of Koopman Representations for Chaotic System Control Phantom oscillations in principal component analysis

Reference 25

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On the Generalisation of Koopman Representations for Chaotic System Control Unresolved cited work

Reference 26

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On the Generalisation of Koopman Representations for Chaotic System Control Individual comparisons by rank- ing methods

Reference 27

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On the Generalisation of Koopman Representations for Chaotic System Control Multiple Comparisons Among Means

Reference 28

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Observation 9aa470dd-aff7-4421-8e57-caa0a43b7f6f · outbound

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On the Generalisation of Koopman Representations for Chaotic System Control Stable and unstable regions of the Lorenz system

Reference 29

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Observation e5349e2b-b0f6-48c9-9826-71e707b3bf70 · outbound

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On the Generalisation of Koopman Representations for Chaotic System Control Learn- ing chaotic dynamics with embedded dissipa- tivity

Reference 30

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Observation e515b366-a8f2-4f0e-8f9e-e3f17f195957 · outbound

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On the Generalisation of Koopman Representations for Chaotic System Control Sabatelli

Reference 31

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On the Generalisation of Koopman Representations for Chaotic System Control Con- trol barrier functions: Theory and applica- tions

Reference 32

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On the Generalisation of Koopman Representations for Chaotic System Control SciPy 1.0: Fundamental Algorithms for Scientific Com- puting in Python

Reference 33

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Observation ecfaca01-a459-413d-a718-8d62a8321c6d · outbound

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On the Generalisation of Koopman Representations for Chaotic System Control Fehlberg

Reference 34

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Observation 8978bfbb-e6d3-4961-8775-8766825a0bc0 · outbound

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On the Generalisation of Koopman Representations for Chaotic System Control Rectified Lin- ear Units Improve Restricted Boltzmann Ma- chines

Reference 35

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Observation 19e719cd-6aca-4bf3-833d-5e13eeca9e0b · outbound

This paper cites Gaussian Error Linear Units (GELUs).

On the Generalisation of Koopman Representations for Chaotic System Control Gaussian Error Linear Units (GELUs)

Reference 36

Resolution
unresolved
no resolver link, observed 2026-08-05T16:07:38.201446Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T16:07:38.201446Z digest=sha256:9ec2dabcc76d473c8ec6c2817a86b964052914fff66c56a46617ffe37708c39f

Observation ca3689ec-dafa-453b-84e7-40400dc975ee · outbound

This paper cites Optuna: A Next-Generation Hy- perparameter Optimization Framework.

On the Generalisation of Koopman Representations for Chaotic System Control Optuna: A Next-Generation Hy- perparameter Optimization Framework

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T16:07:38.781624Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-08-05T16:07:38.204759Z digest=sha256:76115677e556e44f6a7c9e3a368e067e6d45624f0e743b4587be4a6e6c93b788

Observation 99e62fd7-93fa-45f1-bb60-1cee4a64043f · outbound

This paper cites Algorithms for Hyper-Parameter Opti- mization.

On the Generalisation of Koopman Representations for Chaotic System Control Algorithms for Hyper-Parameter Opti- mization

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T16:07:38.771598Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-08-05T16:07:38.211433Z digest=sha256:1844accdf47ebc2f46852ee69801a7e005a1d4522faa68398e47694d326fec4f

Observation 305bff7a-9813-4366-81b7-a05a59c2632c · outbound

This paper cites Adam: A Method for Stochastic Optimization.

On the Generalisation of Koopman Representations for Chaotic System Control Adam: A Method for Stochastic Optimization

Reference 39

Resolution
unresolved
no resolver link, observed 2026-08-05T16:07:38.214893Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T16:07:38.214893Z digest=sha256:ff8e3d86ce2f4c70a08f31f1c92278554ca19989913140039f14b588891f2e51

Observation c6c1e12c-19c8-4fc7-be23-d6244466befc · outbound

This paper cites Decoupled Weight Decay Regularization.

On the Generalisation of Koopman Representations for Chaotic System Control Decoupled Weight Decay Regularization

Reference 40

Resolution
unresolved
no resolver link, observed 2026-08-05T16:07:38.218508Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T16:07:38.218508Z digest=sha256:0f0c3b8c5b3a74527d1cce3dc8ca96cdcdcee47a837b5d4becae2b2b05ea1c6e

Observation d1d65bc5-2210-431f-a851-a3bbc4294d86 · outbound

This paper cites PyTorch: An Imperative Style, High-Performance Deep Learning Li- brary.

On the Generalisation of Koopman Representations for Chaotic System Control PyTorch: An Imperative Style, High-Performance Deep Learning Li- brary

Reference 41

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T16:07:38.761505Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-08-05T16:07:38.222290Z digest=sha256:bd283accaac6d6adee6b62989e782b77d6dba9a7d4663cb4a51b2cbcb1108839

Observation b09484c5-035d-45e7-8fa5-606c16766fed · outbound

This paper cites Zaharia et al.

On the Generalisation of Koopman Representations for Chaotic System Control Zaharia et al

Reference 42

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T16:07:38.751463Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-08-05T16:07:38.225581Z digest=sha256:e511a7eb0aceb30070dce3f2fd351d33d64a1c09e131a64c95b919e542dba7ff

Observation 6494b128-676e-41a9-b151-17a2ca675985 · outbound

This paper cites They are obtained by applying a Principal Component Analysis (PCA) transformation to the original state vector s.

On the Generalisation of Koopman Representations for Chaotic System Control They are obtained by applying a Principal Component Analysis (PCA) transformation to the original state vector s

Reference 46

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T16:07:38.741784Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-08-05T16:07:38.229581Z digest=sha256:2aea099f4ba60dfb2a5c11d7fad89399820912a0501cc1aa1d8804232ed01ff7

Observation d6a3841e-fd3f-415b-8038-3a2906cf7dae · outbound

This paper cites an unresolved cited work.

On the Generalisation of Koopman Representations for Chaotic System Control Unresolved cited work

Reference 47

Resolution
unresolved
raw_fallback, observed 2026-08-05T16:07:38.730588Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-08-05T16:07:38.233335Z digest=sha256:ca2a1743cdc0db583a4d822943c97df03ae9970dec7dbfe315934c720034dc63

Observation 4e58fbf6-a241-4282-a37e-c72dd3476df4 · outbound

This paper cites an unresolved cited work.

On the Generalisation of Koopman Representations for Chaotic System Control Unresolved cited work

Reference 48

Resolution
unresolved
no resolver link, observed 2026-08-05T16:07:38.148908Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T16:07:38.148908Z digest=sha256:7ee48dc77f6a781b28e843c84650b8e586958b6cdc711d4822749997ba59fdbd

Observation 78a973b3-a3ef-41fd-8dfb-5155e7d0d30e · outbound

This paper cites The sine and cosine of the phase an- gle.

On the Generalisation of Koopman Representations for Chaotic System Control The sine and cosine of the phase an- gle

Reference 49

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T16:07:38.720245Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-08-05T16:07:38.237272Z digest=sha256:e302fff3e543df85161147403cdb3ad2c017bce7b45589f38da6d21c19200acd

Observation c06931a3-258f-4a6f-860c-1a40d9853502 · outbound

This paper cites an unresolved cited work.

On the Generalisation of Koopman Representations for Chaotic System Control Unresolved cited work

Reference 50

Resolution
unresolved
raw_fallback, observed 2026-08-05T16:07:38.710152Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-08-05T16:07:38.240981Z digest=sha256:b4bddb056c6eb2bd862101a7ac52b5603a8455ce4e274dc1455461f6f9ab1d7d

Observation 388f516b-b625-4727-9c5e-3e3a4a31860c · outbound

This paper cites an unresolved cited work.

On the Generalisation of Koopman Representations for Chaotic System Control Unresolved cited work

Reference 51

Resolution
unresolved
raw_fallback, observed 2026-08-05T16:07:38.700195Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-08-05T16:07:38.244313Z digest=sha256:1ffa131eaaf7c92e726e6afc981f0ca3dff60756a198a968c1ae9cf1c92d53da

Observation 5b62774d-7961-464f-9108-94d0ec050499 · outbound

This paper cites an unresolved cited work.

On the Generalisation of Koopman Representations for Chaotic System Control Unresolved cited work

Reference 52

Resolution
unresolved
raw_fallback, observed 2026-08-05T16:07:38.690381Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-08-05T16:07:38.247393Z digest=sha256:6565f862b179eaeb074b5a64652fda89713f5c174bc886800c172e79be928b12

Observation 9213c28c-d2ef-4605-98ad-bffdb20760fb · outbound

This paper cites The goal is to keep the system’s trajectory within this region even when affected by bounded disturbances.

On the Generalisation of Koopman Representations for Chaotic System Control The goal is to keep the system’s trajectory within this region even when affected by bounded disturbances

Reference 53

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T16:07:38.679871Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-08-05T16:07:38.251127Z digest=sha256:b5b4ff8fd6c32eb71ea697301d4d4fbce8a391eaa207d185d2c0e2df6f78d33d

Observation b197132a-7efe-4ead-a178-3e8730219e8b · outbound

This paper cites org / P18-1031/.

On the Generalisation of Koopman Representations for Chaotic System Control org / P18-1031/

Reference 1031

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T16:07:39.049276Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-08-05T16:07:38.106370Z digest=sha256:8d3453eb783572f01683e1c9437b8e6bc3bca55c6290c7586423162be9711c1a

Observation 1ad840ed-fa6d-4b23-b8ee-45b46dc29043 · outbound

This paper cites an unresolved cited work.

On the Generalisation of Koopman Representations for Chaotic System Control Unresolved cited work

Reference 2631

Resolution
unresolved
no resolver link, observed 2026-08-05T16:07:38.207787Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T16:07:38.207787Z digest=sha256:29643a8784d41d9b95954c79ce139e1c6a94f3bdb7e1099e778b92c62ca7e0ff

Pith citing papers

No inbound Pith citation observations are available.