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Paper Citation Record · LEDGER

ResKoopNet: Learning Koopman Representations for Complex Dynamics with Spectral Residuals

As of 13 August 2026, this Paper Citation Record lists 51 of 51 outbound references and 0 inbound Pith citation observations for arXiv:2501.00701.

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

pith.paper-citation-record.v1
2501.00701 v4

Coverage vector

measured 51 of 51 reference resolution

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Pith citing papers itemized under the disclosed page cap.

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measured 0 of 1 external citation measurements

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Reference resolution

51 of 51 outbound references displayed

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Outbound references

Observation 2e173a7c-48d9-4280-ad34-06a6505d48a7 · outbound

This paper cites Ergodic theory, dynamic mode decomposition, and computation of spectral properties of the koopman operator.

ResKoopNet: Learning Koopman Representations for Complex Dynamics with Spectral Residuals Ergodic theory, dynamic mode decomposition, and computation of spectral properties of the koopman operator

Reference 1

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ResKoopNet: Learning Koopman Representations for Complex Dynamics with Spectral Residuals Unresolved cited work

Reference 2

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Observation 5e814f44-de95-4267-8505-202f72a6d623 · outbound

This paper cites Mapping multiple features in the population response of visual cortex.

ResKoopNet: Learning Koopman Representations for Complex Dynamics with Spectral Residuals Mapping multiple features in the population response of visual cortex

Reference 3

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Observation d4b717af-0595-4de3-99e9-8ea4ac2755e7 · outbound

This paper cites Optimization methods for large-scale machine learning.

ResKoopNet: Learning Koopman Representations for Complex Dynamics with Spectral Residuals Optimization methods for large-scale machine learning

Reference 4

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Observation e8b1e5dd-f543-490e-953a-dce7d806cd9a · outbound

This paper cites Boyd.Chebyshev and Fourier Spectral Methods: Second Revised Edition.

ResKoopNet: Learning Koopman Representations for Complex Dynamics with Spectral Residuals Boyd.Chebyshev and Fourier Spectral Methods: Second Revised Edition

Reference 5

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Observation b557e7b5-571f-4840-84b7-981b73879ca4 · outbound

This paper cites Brunton and J.

ResKoopNet: Learning Koopman Representations for Complex Dynamics with Spectral Residuals Brunton and J

Reference 6

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Observation 45acbe79-33ee-40ea-ab61-4642c0895ec6 · outbound

This paper cites Chaos as an intermittently forced linear system.

ResKoopNet: Learning Koopman Representations for Complex Dynamics with Spectral Residuals Chaos as an intermittently forced linear system

Reference 7

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Observation 138f4b9a-c52a-4f02-b2e7-33f575f2131a · outbound

This paper cites Rigorous data-driven computation of spectral properties of koopman operators for dynamical systems.

ResKoopNet: Learning Koopman Representations for Complex Dynamics with Spectral Residuals Rigorous data-driven computation of spectral properties of koopman operators for dynamical systems

Reference 8

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Observation 7559741e-0ca0-4c22-858f-7296206cb51e · outbound

This paper cites Residual dynamic mode decomposition: robust and verified koopmanism.

ResKoopNet: Learning Koopman Representations for Complex Dynamics with Spectral Residuals Residual dynamic mode decomposition: robust and verified koopmanism

Reference 9

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ResKoopNet: Learning Koopman Representations for Complex Dynamics with Spectral Residuals Unresolved cited work

Reference 10

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ResKoopNet: Learning Koopman Representations for Complex Dynamics with Spectral Residuals Unresolved cited work

Reference 11

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Observation ac707113-570f-47fe-9bc1-a9fc348ed14f · outbound

This paper cites A lemma in the theory of structural stability of differential equations.

ResKoopNet: Learning Koopman Representations for Complex Dynamics with Spectral Residuals A lemma in the theory of structural stability of differential equations

Reference 12

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ResKoopNet: Learning Koopman Representations for Complex Dynamics with Spectral Residuals Unresolved cited work

Reference 13

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This paper cites Primary visual cortex straightens natural video trajectories.

ResKoopNet: Learning Koopman Representations for Complex Dynamics with Spectral Residuals Primary visual cortex straightens natural video trajectories

Reference 14

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Observation 9bfe0462-965b-43aa-9b2d-bad843cd4a2f · outbound

This paper cites Koopman operators with intrinsic observables in rigged reproducing kernel hilbert spaces, 2024.

ResKoopNet: Learning Koopman Representations for Complex Dynamics with Spectral Residuals Koopman operators with intrinsic observables in rigged reproducing kernel hilbert spaces, 2024

Reference 15

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Observation 7b3edcd0-5c53-4939-9f53-99255998b52b · outbound

This paper cites A kernel-based method for data-driven koopman spectral analysis.

ResKoopNet: Learning Koopman Representations for Complex Dynamics with Spectral Residuals A kernel-based method for data-driven koopman spectral analysis

Reference 16

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Observation e51e6e58-fd1d-4467-9bbe-9a317dadc96b · outbound

This paper cites Hamiltonian systems and transformation in hilbert space.

ResKoopNet: Learning Koopman Representations for Complex Dynamics with Spectral Residuals Hamiltonian systems and transformation in hilbert space

Reference 17

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Observation c2795a11-ecc1-4329-b102-07ae4a7ce7a6 · outbound

This paper cites Koopman and John von Neumann.

ResKoopNet: Learning Koopman Representations for Complex Dynamics with Spectral Residuals Koopman and John von Neumann

Reference 18

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Observation a8b9e8d2-8025-4642-9b77-953706692d7e · outbound

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

ResKoopNet: Learning Koopman Representations for Complex Dynamics with Spectral Residuals On convergence of extended dynamic mode decomposition to the koopman operator

Reference 19

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Observation cdc0a2ec-e8e3-4d34-8b90-2ab101b10c75 · outbound

This paper cites Nonmetric multidimensional scaling: a numerical method.

ResKoopNet: Learning Koopman Representations for Complex Dynamics with Spectral Residuals Nonmetric multidimensional scaling: a numerical method

Reference 20

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Observation eed4f6d2-6540-43d3-9f7a-19564578a535 · outbound

This paper cites Linearization in the large of nonlinear systems and koopman operator spectrum.

ResKoopNet: Learning Koopman Representations for Complex Dynamics with Spectral Residuals Linearization in the large of nonlinear systems and koopman operator spectrum

Reference 21

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Observation 86b8e664-6299-4cd7-8c97-f3bb687e020f · outbound

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

ResKoopNet: Learning Koopman Representations for Complex Dynamics with Spectral Residuals Extended dynamic mode decomposition with dictionary learning: A data-driven adaptive spectral decomposition of the koopman operator

Reference 22

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Observation 15db1cf5-2278-4c56-9f15-6c6f05195d2f · outbound

This paper cites Deep learning for universal linear embeddings of nonlinear dynamics.

ResKoopNet: Learning Koopman Representations for Complex Dynamics with Spectral Residuals Deep learning for universal linear embeddings of nonlinear dynamics

Reference 23

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Observation 5845b364-8e44-46c9-b7b7-848378d1fdb9 · outbound

This paper cites Vampnets for deep learning of molecular kinetics.Nature communications, 9(1):5, 2018.

ResKoopNet: Learning Koopman Representations for Complex Dynamics with Spectral Residuals Vampnets for deep learning of molecular kinetics.Nature communications, 9(1):5, 2018

Reference 24

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This paper cites UMAP: Uniform Manifold Approximation and Projection for Dimension Reduction.

ResKoopNet: Learning Koopman Representations for Complex Dynamics with Spectral Residuals UMAP: Uniform Manifold Approximation and Projection for Dimension Reduction

Reference 25

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Observation 73275e67-c874-4bd1-be9d-b19ef2eb75dd · outbound

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

ResKoopNet: Learning Koopman Representations for Complex Dynamics with Spectral Residuals Spectral properties of dynamical systems, model reduction and decompositions

Reference 26

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Observation 610ec18b-9e78-4b4d-9c6f-8671fc0ba3d4 · outbound

This paper cites Analysis of fluid flows via spectral properties of the koopman operator.

ResKoopNet: Learning Koopman Representations for Complex Dynamics with Spectral Residuals Analysis of fluid flows via spectral properties of the koopman operator

Reference 27

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Observation 8bd1e82f-f738-47f5-bdbc-08e0e02fd3cf · outbound

This paper cites Natural scene evoked population dynamics across cat primary visual cortex captured with voltage-sensitive dye imaging.

ResKoopNet: Learning Koopman Representations for Complex Dynamics with Spectral Residuals Natural scene evoked population dynamics across cat primary visual cortex captured with voltage-sensitive dye imaging

Reference 28

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Observation 8591012c-3f63-42b0-ab6c-e7494b5c6e13 · outbound

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ResKoopNet: Learning Koopman Representations for Complex Dynamics with Spectral Residuals Linearly recurrent autoencoder networks for learning dynamics

Reference 29

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Observation 5109544f-9ec5-4e6d-8d56-34f0beecf664 · outbound

This paper cites Approximation theory of the mlp model in neural networks.

ResKoopNet: Learning Koopman Representations for Complex Dynamics with Spectral Residuals Approximation theory of the mlp model in neural networks

Reference 30

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ResKoopNet: Learning Koopman Representations for Complex Dynamics with Spectral Residuals Schetzen

Reference 31

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ResKoopNet: Learning Koopman Representations for Complex Dynamics with Spectral Residuals Dynamic mode decomposition and its variants

Reference 32

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation e4134816-2c1f-46d3-8fbb-d80c4573a3fc · outbound

This paper cites Slotine and W.

ResKoopNet: Learning Koopman Representations for Complex Dynamics with Spectral Residuals Slotine and W

Reference 33

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation 950746d1-a7f5-47b3-a7e8-f0a57ae502e4 · outbound

This paper cites Learning koopman invariant subspaces for dynamic mode decomposition.

ResKoopNet: Learning Koopman Representations for Complex Dynamics with Spectral Residuals Learning koopman invariant subspaces for dynamic mode decomposition

Reference 34

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation 18a56cbb-28ec-4d3e-85e8-63719cd30941 · outbound

This paper cites Detecting strange attractors in turbulence.

ResKoopNet: Learning Koopman Representations for Complex Dynamics with Spectral Residuals Detecting strange attractors in turbulence

Reference 35

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Observation becf2987-b656-499b-bf50-0c006764f4ba · outbound

This paper cites Kernel embedding based variational approach for low-dimensional approximation of dynamical systems.

ResKoopNet: Learning Koopman Representations for Complex Dynamics with Spectral Residuals Kernel embedding based variational approach for low-dimensional approximation of dynamical systems

Reference 36

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation cdf59206-eb61-4424-905e-321b825894ed · outbound

This paper cites Tu, Clarence W.

ResKoopNet: Learning Koopman Representations for Complex Dynamics with Spectral Residuals Tu, Clarence W

Reference 37

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation 2da04e79-dcee-4f27-ba19-9a8dcb103890 · outbound

This paper cites Retrospective for the dynamic sensorium competition for predicting large-scale mouse primary visual cortex activity from videos.

ResKoopNet: Learning Koopman Representations for Complex Dynamics with Spectral Residuals Retrospective for the dynamic sensorium competition for predicting large-scale mouse primary visual cortex activity from videos

Reference 38

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation e2c65fb4-861a-47fc-9dff-18f62e18a478 · outbound

This paper cites The dynamic sensorium competition for predicting large-scale mouse visual cortex activity from videos.

ResKoopNet: Learning Koopman Representations for Complex Dynamics with Spectral Residuals The dynamic sensorium competition for predicting large-scale mouse visual cortex activity from videos

Reference 39

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation 7b654f57-7510-43fb-baeb-52a5210f66ab · outbound

This paper cites Visualizing data using t-sne.

ResKoopNet: Learning Koopman Representations for Complex Dynamics with Spectral Residuals Visualizing data using t-sne

Reference 40

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Source-reported events for the cited work

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Observation 9e1bb09a-fc88-428a-b68d-8136c991c185 · outbound

This paper cites The Barron Space and the Flow-induced Function Spaces for Neural Network Models.

ResKoopNet: Learning Koopman Representations for Complex Dynamics with Spectral Residuals The Barron Space and the Flow-induced Function Spaces for Neural Network Models

Reference 41

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unresolved
no resolver link, observed 2026-08-10T22:51:28.555875Z

Source-reported events for the cited work

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Observation 9c1aa05d-b034-4607-b8c8-0e31e9ad90fe · outbound

This paper cites Towards a Mathematical Understanding of Neural Network-Based Machine Learning: what we know and what we don't.

ResKoopNet: Learning Koopman Representations for Complex Dynamics with Spectral Residuals Towards a Mathematical Understanding of Neural Network-Based Machine Learning: what we know and what we don't

Reference 42

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Source-reported events for the cited work

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source=pdf_text observed=2026-08-10T22:51:28.559663Z digest=sha256:3a29999b14d23009a924ba3020cdf11f96bf1a52396d5edb9039439b4bcf8995

Observation d5245a72-a235-4efe-933b-ce4556581d19 · outbound

This paper cites an unresolved cited work.

ResKoopNet: Learning Koopman Representations for Complex Dynamics with Spectral Residuals Unresolved cited work

Reference 43

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raw_fallback, observed 2026-08-10T22:51:28.793204Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation 97d604e7-4924-43fe-95fd-963597218a05 · outbound

This paper cites Data-driven approximation of the koopman operator: Extending dynamic mode decomposition.

ResKoopNet: Learning Koopman Representations for Complex Dynamics with Spectral Residuals Data-driven approximation of the koopman operator: Extending dynamic mode decomposition

Reference 44

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:51:28.780673Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation ccb95f95-137d-4b00-9c4a-8a5390782efb · outbound

This paper cites Variational approach for learning markov processes from time series data.

ResKoopNet: Learning Koopman Representations for Complex Dynamics with Spectral Residuals Variational approach for learning markov processes from time series data

Reference 45

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:51:28.767620Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation 09adff54-729d-44ca-98b5-a8e0625b7ac6 · outbound

This paper cites A Data-Driven Framework for Koopman Semigroup Estimation in Stochastic Dynamical Systems.

ResKoopNet: Learning Koopman Representations for Complex Dynamics with Spectral Residuals A Data-Driven Framework for Koopman Semigroup Estimation in Stochastic Dynamical Systems

Reference 46

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Source-reported events for the cited work

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source=pdf_text observed=2026-08-10T22:51:28.574441Z digest=sha256:46f42d4757535c7688199e73d93eb8a36050bc50b445e12e9bbda4c43d60b41b

Observation 3cff0158-7b7f-453f-83d2-1c80b1cc6691 · outbound

This paper cites two-layer neural network.

ResKoopNet: Learning Koopman Representations for Complex Dynamics with Spectral Residuals two-layer neural network

Reference 47

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verified exact
doi, observed 2026-08-10T22:51:28.629146Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation 2e23650c-73f3-4ff4-aea1-e97f7a44c21d · outbound

This paper cites This choice ensures the dictionary size is the same as Hankel DMD, making it a fair comparison between the performance of these two methods.

ResKoopNet: Learning Koopman Representations for Complex Dynamics with Spectral Residuals This choice ensures the dictionary size is the same as Hankel DMD, making it a fair comparison between the performance of these two methods

Reference 48

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:51:28.755149Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-10T22:51:28.583619Z digest=sha256:d7cd9c5f817093f733768d253b132e13ce6131d666de20b88a78611d5ec54437

Observation 5facb38a-8cda-4c10-8505-396a2a66ef5f · outbound

This paper cites Therefore, it is impossible to choose the same dictionary size as the ResKoopNet example.

ResKoopNet: Learning Koopman Representations for Complex Dynamics with Spectral Residuals Therefore, it is impossible to choose the same dictionary size as the ResKoopNet example

Reference 49

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:51:28.740822Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-10T22:51:28.587045Z digest=sha256:67e100544e19868cbbfa7ae02d848d1e177b01db18de00493c2650ea4e650c0f

Observation d03ba149-c85d-44bd-9b38-f592ba1960c6 · outbound

This paper cites an unresolved cited work.

ResKoopNet: Learning Koopman Representations for Complex Dynamics with Spectral Residuals Unresolved cited work

Reference 50

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unresolved
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-10T22:51:28.590584Z digest=sha256:d27fe4c1811970bbe49e8e98e908ca5229ab2600807777595e55b3dc38275a57

Observation 228d8868-082f-4e5a-86b1-08c367e43f84 · outbound

This paper cites Therefore, we cannot make the dictionary size consistent with the ResKoopNet example.

ResKoopNet: Learning Koopman Representations for Complex Dynamics with Spectral Residuals Therefore, we cannot make the dictionary size consistent with the ResKoopNet example

Reference 51

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raw_fallback, observed 2026-08-10T22:51:28.716867Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Pith citing papers

No inbound Pith citation observations are available.