Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-10T22:51:28.594108Z
Paper Citation Record · LEDGER
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.
Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-10T22:51:28.594108Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
51 of 51 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation 2e173a7c-48d9-4280-ad34-06a6505d48a7 · outbound
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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Observation 022e116a-1366-4365-8f65-ed96b800d014 · outbound
ResKoopNet: Learning Koopman Representations for Complex Dynamics with Spectral Residuals Unresolved cited work
Reference 2
Source-reported events for the cited work
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Observation 5e814f44-de95-4267-8505-202f72a6d623 · outbound
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
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
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
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
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
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
Source-reported events for the cited work
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Observation 7559741e-0ca0-4c22-858f-7296206cb51e · outbound
ResKoopNet: Learning Koopman Representations for Complex Dynamics with Spectral Residuals Residual dynamic mode decomposition: robust and verified koopmanism
Reference 9
Source-reported events for the cited work
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Observation d361aa09-3a91-4778-b8ce-895d665bf11b · outbound
ResKoopNet: Learning Koopman Representations for Complex Dynamics with Spectral Residuals Unresolved cited work
Reference 10
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ae4b1edc-2b16-4877-a7b0-5ccf414d78e1 · outbound
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
ResKoopNet: Learning Koopman Representations for Complex Dynamics with Spectral Residuals A lemma in the theory of structural stability of differential equations
Reference 12
Source-reported events for the cited work
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Observation dd9aebc6-1d50-4fd9-a0e1-66023064d3f8 · outbound
ResKoopNet: Learning Koopman Representations for Complex Dynamics with Spectral Residuals Unresolved cited work
Reference 13
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Observation 9a7a562f-98cf-40c4-8df5-d5e2b9274eb6 · outbound
ResKoopNet: Learning Koopman Representations for Complex Dynamics with Spectral Residuals Primary visual cortex straightens natural video trajectories
Reference 14
Source-reported events for the cited work
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Observation 9bfe0462-965b-43aa-9b2d-bad843cd4a2f · outbound
ResKoopNet: Learning Koopman Representations for Complex Dynamics with Spectral Residuals Koopman operators with intrinsic observables in rigged reproducing kernel hilbert spaces, 2024
Reference 15
Source-reported events for the cited work
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Observation 7b3edcd0-5c53-4939-9f53-99255998b52b · outbound
ResKoopNet: Learning Koopman Representations for Complex Dynamics with Spectral Residuals A kernel-based method for data-driven koopman spectral analysis
Reference 16
Source-reported events for the cited work
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Observation e51e6e58-fd1d-4467-9bbe-9a317dadc96b · outbound
ResKoopNet: Learning Koopman Representations for Complex Dynamics with Spectral Residuals Hamiltonian systems and transformation in hilbert space
Reference 17
Source-reported events for the cited work
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Observation c2795a11-ecc1-4329-b102-07ae4a7ce7a6 · outbound
ResKoopNet: Learning Koopman Representations for Complex Dynamics with Spectral Residuals Koopman and John von Neumann
Reference 18
Source-reported events for the cited work
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Observation a8b9e8d2-8025-4642-9b77-953706692d7e · outbound
ResKoopNet: Learning Koopman Representations for Complex Dynamics with Spectral Residuals On convergence of extended dynamic mode decomposition to the koopman operator
Reference 19
Source-reported events for the cited work
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Observation cdc0a2ec-e8e3-4d34-8b90-2ab101b10c75 · outbound
ResKoopNet: Learning Koopman Representations for Complex Dynamics with Spectral Residuals Nonmetric multidimensional scaling: a numerical method
Reference 20
Source-reported events for the cited work
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Observation eed4f6d2-6540-43d3-9f7a-19564578a535 · outbound
ResKoopNet: Learning Koopman Representations for Complex Dynamics with Spectral Residuals Linearization in the large of nonlinear systems and koopman operator spectrum
Reference 21
Source-reported events for the cited work
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Observation 86b8e664-6299-4cd7-8c97-f3bb687e020f · outbound
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
Source-reported events for the cited work
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Observation 15db1cf5-2278-4c56-9f15-6c6f05195d2f · outbound
ResKoopNet: Learning Koopman Representations for Complex Dynamics with Spectral Residuals Deep learning for universal linear embeddings of nonlinear dynamics
Reference 23
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 5845b364-8e44-46c9-b7b7-848378d1fdb9 · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 0117027c-5eed-4d34-a222-c1740ce00d04 · outbound
ResKoopNet: Learning Koopman Representations for Complex Dynamics with Spectral Residuals UMAP: Uniform Manifold Approximation and Projection for Dimension Reduction
Reference 25
Source-reported events for the cited work
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Observation 73275e67-c874-4bd1-be9d-b19ef2eb75dd · outbound
ResKoopNet: Learning Koopman Representations for Complex Dynamics with Spectral Residuals Spectral properties of dynamical systems, model reduction and decompositions
Reference 26
Source-reported events for the cited work
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Observation 610ec18b-9e78-4b4d-9c6f-8671fc0ba3d4 · outbound
ResKoopNet: Learning Koopman Representations for Complex Dynamics with Spectral Residuals Analysis of fluid flows via spectral properties of the koopman operator
Reference 27
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.
Observation 8bd1e82f-f738-47f5-bdbc-08e0e02fd3cf · outbound
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
Source-reported events for the cited work
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Observation 8591012c-3f63-42b0-ab6c-e7494b5c6e13 · outbound
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
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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Observation 7da4a02c-b41d-4870-83da-8d99a5d30c15 · outbound
ResKoopNet: Learning Koopman Representations for Complex Dynamics with Spectral Residuals Schetzen
Reference 31
Source-reported events for the cited work
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Observation 7a796e08-e0d6-4e8f-a2fb-460f03cdc0e7 · outbound
ResKoopNet: Learning Koopman Representations for Complex Dynamics with Spectral Residuals Dynamic mode decomposition and its variants
Reference 32
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Observation e4134816-2c1f-46d3-8fbb-d80c4573a3fc · outbound
ResKoopNet: Learning Koopman Representations for Complex Dynamics with Spectral Residuals Slotine and W
Reference 33
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Observation 950746d1-a7f5-47b3-a7e8-f0a57ae502e4 · outbound
ResKoopNet: Learning Koopman Representations for Complex Dynamics with Spectral Residuals Learning koopman invariant subspaces for dynamic mode decomposition
Reference 34
Source-reported events for the cited work
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Observation 18a56cbb-28ec-4d3e-85e8-63719cd30941 · outbound
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
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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Observation cdf59206-eb61-4424-905e-321b825894ed · outbound
ResKoopNet: Learning Koopman Representations for Complex Dynamics with Spectral Residuals Tu, Clarence W
Reference 37
Source-reported events for the cited work
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Observation 2da04e79-dcee-4f27-ba19-9a8dcb103890 · outbound
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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Observation e2c65fb4-861a-47fc-9dff-18f62e18a478 · outbound
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
Source-reported events for the cited work
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Observation 7b654f57-7510-43fb-baeb-52a5210f66ab · outbound
ResKoopNet: Learning Koopman Representations for Complex Dynamics with Spectral Residuals Visualizing data using t-sne
Reference 40
Source-reported events for the cited work
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Observation 9e1bb09a-fc88-428a-b68d-8136c991c185 · outbound
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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Observation 9c1aa05d-b034-4607-b8c8-0e31e9ad90fe · outbound
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
Source-reported events for the cited work
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Observation d5245a72-a235-4efe-933b-ce4556581d19 · outbound
ResKoopNet: Learning Koopman Representations for Complex Dynamics with Spectral Residuals Unresolved cited work
Reference 43
Source-reported events for the cited work
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Observation 97d604e7-4924-43fe-95fd-963597218a05 · outbound
ResKoopNet: Learning Koopman Representations for Complex Dynamics with Spectral Residuals Data-driven approximation of the koopman operator: Extending dynamic mode decomposition
Reference 44
Source-reported events for the cited work
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Observation ccb95f95-137d-4b00-9c4a-8a5390782efb · outbound
ResKoopNet: Learning Koopman Representations for Complex Dynamics with Spectral Residuals Variational approach for learning markov processes from time series data
Reference 45
Source-reported events for the cited work
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Observation 09adff54-729d-44ca-98b5-a8e0625b7ac6 · outbound
ResKoopNet: Learning Koopman Representations for Complex Dynamics with Spectral Residuals A Data-Driven Framework for Koopman Semigroup Estimation in Stochastic Dynamical Systems
Reference 46
Source-reported events for the cited work
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Observation 3cff0158-7b7f-453f-83d2-1c80b1cc6691 · outbound
ResKoopNet: Learning Koopman Representations for Complex Dynamics with Spectral Residuals two-layer neural network
Reference 47
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Observation 2e23650c-73f3-4ff4-aea1-e97f7a44c21d · outbound
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
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.
Observation 5facb38a-8cda-4c10-8505-396a2a66ef5f · outbound
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
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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation d03ba149-c85d-44bd-9b38-f592ba1960c6 · outbound
ResKoopNet: Learning Koopman Representations for Complex Dynamics with Spectral Residuals Unresolved cited work
Reference 50
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.
Observation 228d8868-082f-4e5a-86b1-08c367e43f84 · outbound
ResKoopNet: Learning Koopman Representations for Complex Dynamics with Spectral Residuals Therefore, we cannot make the dictionary size consistent with the ResKoopNet example
Reference 51
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.
No inbound Pith citation observations are available.