Paper Citation Record · LEDGER

Modern Koopman Theory for Dynamical Systems

As of 15 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 45 inbound Pith citation observations for arXiv:2102.12086.

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

pith.paper-citation-record.v1
2102.12086 v2

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measured 45 of 45 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+00:00

measured 45 of 45 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-15T16:50:43.111144Z

measured 0 of 1 external citation measurements

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Source: arxiv_reference, observed 2026-07-04T19:10:05.207886Z

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Outbound references

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Pith citing papers

Observation b054d6cb-2ea2-414b-9197-9fbb94d930af · inbound

Graph State-Space Models and Latent Relational Inference cites this paper.

Graph State-Space Models and Latent Relational Inference Modern Koopman Theory for Dynamical Systems

Reference 7

Resolution: verified exact; arxiv_id, observed 2026-05-24T10:06:07.872029Z

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Observation 93fcf757-b122-4f98-bad6-2621ffb74b1d · inbound

Carleman Linearization of Partial Differential Equations cites this paper.

Carleman Linearization of Partial Differential Equations Modern Koopman Theory for Dynamical Systems

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-12T20:37:55.099514Z

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Observation a52e2d24-a9dd-4d20-a68b-dc61585025e9 · inbound

Online Physics-Informed Dynamic Mode Decomposition: Theory and Applications cites this paper.

Online Physics-Informed Dynamic Mode Decomposition: Theory and Applications Modern Koopman Theory for Dynamical Systems

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-11T22:42:42.463916Z

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Observation 6f679678-a8d0-4108-9ef6-ee41aa3b7076 · inbound

Loss Terms and Operator Forms of Koopman Autoencoders cites this paper.

Loss Terms and Operator Forms of Koopman Autoencoders Modern Koopman Theory for Dynamical Systems

Reference 34

Resolution: unresolved; no resolver link, observed 2026-08-11T21:27:26.408411Z

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Observation 4380aed6-001f-40f0-86f9-7a56d96769ec · inbound

Learning Hidden Physics and System Parameters with Deep Operator Networks cites this paper.

Learning Hidden Physics and System Parameters with Deep Operator Networks Modern Koopman Theory for Dynamical Systems

Reference 11

Resolution: verified exact; arxiv_id, observed 2026-05-23T07:45:28.938826Z

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Observation 55c398a4-a217-422c-82c5-7a44516c91e8 · inbound

Some Best Practices in Operator Learning cites this paper.

Some Best Practices in Operator Learning Modern Koopman Theory for Dynamical Systems

Reference 38

Resolution: unresolved; no resolver link, observed 2026-08-11T19:24:03.423151Z

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Observation b0bd82af-0082-4dff-8762-566d2be5a1d4 · inbound

Adversarial Autoencoders in Operator Learning cites this paper.

Adversarial Autoencoders in Operator Learning Modern Koopman Theory for Dynamical Systems

Reference 35

Resolution: unresolved; no resolver link, observed 2026-08-11T19:07:05.582994Z

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Observation f1509bd4-f896-4051-8936-cb4630d63157 · inbound

Discover physical concepts and equations with machine learning cites this paper.

Discover physical concepts and equations with machine learning Modern Koopman Theory for Dynamical Systems

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-11T17:53:24.897148Z

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Observation 54c89317-7cb5-457e-b478-84c2bd3b9132 · inbound

Sparse identification of nonlinear dynamics and Koopman operators with Shallow Recurrent Decoder Networks cites this paper.

Sparse identification of nonlinear dynamics and Koopman operators with Shallow Recurrent Decoder Networks Modern Koopman Theory for Dynamical Systems

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-10T16:21:35.902775Z

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Observation ca987e4e-0891-43d9-be80-cb77ea824274 · inbound

Data-Driven Contact-Aware Control Method for Real-Time Deformable Tool Manipulation: A Case Study in the Environmental Swabbing cites this paper.

Data-Driven Contact-Aware Control Method for Real-Time Deformable Tool Manipulation: A Case Study in the Environmental Swabbing Modern Koopman Theory for Dynamical Systems

Reference 30

Resolution: verified exact; arxiv_id, observed 2026-05-22T22:37:12.462486Z

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Observation 65fd29b6-ec99-43c8-b77a-773a2c69eba4 · inbound

Unfolding Generative Flows with Koopman Operators: Trajectory-Preserving Linearization cites this paper.

Unfolding Generative Flows with Koopman Operators: Trajectory-Preserving Linearization Modern Koopman Theory for Dynamical Systems

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-06T22:15:44.936926Z

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Observation 9e005f4a-c55a-41b0-a713-507982057956 · inbound

Quantum-Informed Machine Learning for Predicting Spatiotemporal Chaos with Practical Quantum Advantage cites this paper.

Quantum-Informed Machine Learning for Predicting Spatiotemporal Chaos with Practical Quantum Advantage Modern Koopman Theory for Dynamical Systems

Reference 92

Resolution: verified exact; arxiv_id, observed 2026-05-19T02:36:59.521462Z

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Observation 414454b1-f781-4779-99d1-d51d70761066 · inbound

A Review On Safe Reinforcement Learning Using Lyapunov and Barrier Functions cites this paper.

A Review On Safe Reinforcement Learning Using Lyapunov and Barrier Functions Modern Koopman Theory for Dynamical Systems

Reference 137

Resolution: verified exact; arxiv_id, observed 2026-05-18T22:41:53.833555Z

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Observation 7f0f0bff-0c93-40fe-a1a9-606c1ba79513 · inbound

Artificial neural network solver for Fokker-Planck and Koopman eigenfunctions cites this paper.

Artificial neural network solver for Fokker-Planck and Koopman eigenfunctions Modern Koopman Theory for Dynamical Systems

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-15T16:50:43.111144Z

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Observation 2d23c67b-460d-4188-918c-572afe243c7c · inbound

Parameter Robustness in Data-Driven Estimation of Dynamical Systems cites this paper.

Parameter Robustness in Data-Driven Estimation of Dynamical Systems Modern Koopman Theory for Dynamical Systems

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-04T23:35:55.576059Z

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Observation 4c239f3d-27cb-4418-9ff2-43d96fa876bd · inbound

Data-driven discovery of dynamical models in biology cites this paper.

Data-driven discovery of dynamical models in biology Modern Koopman Theory for Dynamical Systems

Reference 91

Resolution: unresolved; no resolver link, observed 2026-08-04T23:15:50.340369Z

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Observation f73b5c93-f24b-421c-9cc1-86c0088d37a2 · inbound

Residual SCI Upper Bounds And Lower Witnesses For Koopman Approximate Point Spectra In $L^p$ For $1<p<\infty$: Extended Version cites this paper.

Residual SCI Upper Bounds And Lower Witnesses For Koopman Approximate Point Spectra In $L^p$ For $1<p<\infty$: Extended Version Modern Koopman Theory for Dynamical Systems

Reference 7

Resolution: verified exact; arxiv_id, observed 2026-05-18T15:56:34.605040Z

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

Observation 14b54f24-20c0-4e5c-9a49-f15808f2e72f · inbound

Characteristic Root Analysis and Regularization for Linear Time Series Forecasting cites this paper.

Characteristic Root Analysis and Regularization for Linear Time Series Forecasting Modern Koopman Theory for Dynamical Systems

Reference 6

Resolution: verified exact; arxiv_id, observed 2026-05-18T12:51:23.439565Z

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Observation 4ef38fd0-63e3-4f5e-a4ec-1a9f2f3f0b20 · inbound

Optimizing Control-Friendly Trajectories with Self-Supervised Residual Learning cites this paper.

Optimizing Control-Friendly Trajectories with Self-Supervised Residual Learning Modern Koopman Theory for Dynamical Systems

Reference 12

Resolution: verified exact; arxiv_id, observed 2026-05-16T17:48:11.594399Z

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Observation c68dc161-69d3-42d7-8968-a5b898ff5f58 · inbound

Endpoint Koopman Spectral Computation: $L^1$ Residual Bounds, $L^\infty$ Instability, and Point-Spectral SCI Calibration Families cites this paper.

Endpoint Koopman Spectral Computation: $L^1$ Residual Bounds, $L^\infty$ Instability, and Point-Spectral SCI Calibration Families Modern Koopman Theory for Dynamical Systems

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-03T10:22:29.660866Z

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Observation bf55838f-cf6a-42ca-a3ea-46dfcd2c698c · inbound

Wasserstein Geometry of Information Loss in Nonlinear Dynamical Systems cites this paper.

Wasserstein Geometry of Information Loss in Nonlinear Dynamical Systems Modern Koopman Theory for Dynamical Systems

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-03T06:29:57.241320Z

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Observation fe849541-ccdd-4a3c-9401-adb98836075a · inbound

LC-SAC: Lyapunov-Constrained Soft Actor-Critic via Koopman Operator Theory for Trajectory Tracking and Stabilization cites this paper.

LC-SAC: Lyapunov-Constrained Soft Actor-Critic via Koopman Operator Theory for Trajectory Tracking and Stabilization Modern Koopman Theory for Dynamical Systems

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-03T04:47:40.487867Z

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Observation f2420091-fb69-403f-a9dd-3c212cb276cb · inbound

Is Flow Matching Just Trajectory Replay for Sequential Data? cites this paper.

Is Flow Matching Just Trajectory Replay for Sequential Data? Modern Koopman Theory for Dynamical Systems

Reference 18

Resolution: verified exact; arxiv_id, observed 2026-05-16T06:22:27.476818Z

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Observation b856d01f-a62c-4ef4-867a-86f89b073a39 · inbound

Universal Approximation Theorems for Dynamical Systems with Infinite-Time Horizon Guarantees cites this paper.

Universal Approximation Theorems for Dynamical Systems with Infinite-Time Horizon Guarantees Modern Koopman Theory for Dynamical Systems

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-03T03:21:48.297381Z

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Observation 36c941a4-7993-439b-af12-9ef0f5d63721 · inbound

Transformers converge to invariant algorithmic cores cites this paper.

Transformers converge to invariant algorithmic cores Modern Koopman Theory for Dynamical Systems

Reference 54

Resolution: unresolved; no resolver link, observed 2026-08-02T20:46:35.102776Z

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Observation 7e7b3316-58b7-4559-9970-d7663f8bcccc · inbound

Koopman Operator Framework for Modeling and Control of Off-Road Vehicle on Deformable Terrain cites this paper.

Koopman Operator Framework for Modeling and Control of Off-Road Vehicle on Deformable Terrain Modern Koopman Theory for Dynamical Systems

Reference 19

Resolution: verified exact; arxiv_id, observed 2026-05-14T21:19:28.445723Z

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Observation 9f2c1855-d73f-4452-83c7-62bfe60aec00 · inbound

Weak-DMD: A Galerkin approach to the problem of noise in the Dynamic Mode Decomposition algorithm cites this paper.

Weak-DMD: A Galerkin approach to the problem of noise in the Dynamic Mode Decomposition algorithm Modern Koopman Theory for Dynamical Systems

Reference 14

Resolution: verified exact; arxiv_id, observed 2026-05-10T11:50:20.677940Z

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

Observation 3fa3de9a-7a9d-4f21-98ba-762c79268e62 · inbound

Uncertainty-Aware Spatiotemporal Super-Resolution Data Assimilation with Diffusion Models cites this paper.

Uncertainty-Aware Spatiotemporal Super-Resolution Data Assimilation with Diffusion Models Modern Koopman Theory for Dynamical Systems

Reference 5

Resolution: verified exact; arxiv_id, observed 2026-05-11T14:41:19.997819Z

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Observation cd880926-b6be-4b60-9247-0ecfeb887209 · inbound

Non-conservation and time non-locality of biased tracers cites this paper.

Non-conservation and time non-locality of biased tracers Modern Koopman Theory for Dynamical Systems

Reference 139

Resolution: metadata mismatch; arxiv_id, observed 2026-05-11T18:11:05.314456Z

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

Observation 1ae81119-ee3d-4fe8-90ce-04ea954cb5fe · inbound

SACK : Safe Active Continual Koopman Learning for Uncertain Systems with Contractive Guarantees cites this paper.

SACK : Safe Active Continual Koopman Learning for Uncertain Systems with Contractive Guarantees Modern Koopman Theory for Dynamical Systems

Reference 12

Resolution: verified exact; arxiv_id, observed 2026-05-12T06:56:31.213768Z

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

Observation 690a02c7-3f79-4f82-9dd0-e258a9547596 · inbound

A Novel Schur-Decomposition-Based Weight Projection Method for Stable State-Space Neural-Network Architectures cites this paper.

A Novel Schur-Decomposition-Based Weight Projection Method for Stable State-Space Neural-Network Architectures Modern Koopman Theory for Dynamical Systems

Reference 14

Resolution: verified exact; arxiv_id, observed 2026-05-15T01:38:27.478342Z

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

Observation 99478e62-c6aa-4d29-a1b6-e041e1a8b5da · inbound

Data-driven analysis of metastability in a stochastic bistable system cites this paper.

Data-driven analysis of metastability in a stochastic bistable system Modern Koopman Theory for Dynamical Systems

Reference 85

Resolution: metadata mismatch; arxiv_id, observed 2026-05-19T20:57:46.948909Z

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Observation aa4adc08-6168-4450-aea9-16d32d9ba61f · inbound

Exact expression for maximum Lyapunov exponent during transients in computationally powerful dynamical networks cites this paper.

Exact expression for maximum Lyapunov exponent during transients in computationally powerful dynamical networks Modern Koopman Theory for Dynamical Systems

Reference 26

Resolution: verified exact; arxiv_id, observed 2026-05-21T01:19:20.839436Z

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Observation 92888a92-5e18-4281-9178-30ac88b2455e · inbound

How Optimality Structures Sparse Dictionaries: A Theory for Understanding SAE Representations cites this paper.

How Optimality Structures Sparse Dictionaries: A Theory for Understanding SAE Representations Modern Koopman Theory for Dynamical Systems

Reference 224

Resolution: metadata mismatch; arxiv_id, observed 2026-07-02T01:36:26.348183Z

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

Observation c5c97663-5701-4ccf-b66a-6014f1c345f2 · inbound

Graph Mamba Operator: A Latent Simulator for Interacting Particle Systems cites this paper.

Graph Mamba Operator: A Latent Simulator for Interacting Particle Systems Modern Koopman Theory for Dynamical Systems

Reference 147

Resolution: metadata mismatch; arxiv_id, observed 2026-07-03T00:37:29.989067Z

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Observation 01a8209b-9912-4488-bafe-1fe9754baae6 · inbound

Integral Formulation of QENDy for Robust Nonlinear System Identification cites this paper.

Integral Formulation of QENDy for Robust Nonlinear System Identification Modern Koopman Theory for Dynamical Systems

Reference 9

Resolution: verified exact; arxiv_id, observed 2026-07-03T13:18:12.509143Z

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

Observation 1ca39211-0103-4d1e-aad9-0ce9706b19be · inbound

Data-Based Dynamical Systems Reconstruction: An Adequacy/Reliability Test cites this paper.

Data-Based Dynamical Systems Reconstruction: An Adequacy/Reliability Test Modern Koopman Theory for Dynamical Systems

Reference 9

Resolution: verified exact; arxiv_id, observed 2026-07-04T19:10:05.209396Z

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

Observation 6b16f032-18f0-47a4-9cf2-317d70e43c2a · inbound

A Shallow Recurrent Decoder for Dynamic State Estimation with a Limited Number of PMUs in Power Systems cites this paper.

A Shallow Recurrent Decoder for Dynamic State Estimation with a Limited Number of PMUs in Power Systems Modern Koopman Theory for Dynamical Systems

Reference 49

Resolution: verified exact; arxiv_id, observed 2026-07-02T17:47:17.640100Z

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

Observation 9433552d-67a1-469f-ac6f-17d4d34cdde1 · inbound

fSRD: Fuzzy Spectral Region Decomposition -- Automated Multi Operator Koopman Representations via an Adaptive Spectral Learning Architecture cites this paper.

fSRD: Fuzzy Spectral Region Decomposition -- Automated Multi Operator Koopman Representations via an Adaptive Spectral Learning Architecture Modern Koopman Theory for Dynamical Systems

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-01T16:30:32.405948Z

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Observation 59cf2b5f-c172-433a-b65a-d184bf147bbe · inbound

RAMP: Recognition parametrisation by Amortised Message Passing cites this paper.

RAMP: Recognition parametrisation by Amortised Message Passing Modern Koopman Theory for Dynamical Systems

Reference 69

Resolution: unresolved; no resolver link, observed 2026-08-01T14:07:57.979115Z

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Observation c95a0974-c644-4873-a3cb-e82e967e771e · inbound

Learning Ergodic Dynamical Systems from a Finite Trajectory cites this paper.

Learning Ergodic Dynamical Systems from a Finite Trajectory Modern Koopman Theory for Dynamical Systems

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-01T04:58:39.684574Z

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Observation 92351730-bf79-4290-90be-af7ad66b327d · inbound

Self-Adaptive Learning and Model Predictive Control for Tracking Unknown Dynamics with No Regret cites this paper.

Self-Adaptive Learning and Model Predictive Control for Tracking Unknown Dynamics with No Regret Modern Koopman Theory for Dynamical Systems

Reference 104

Resolution: unresolved; no resolver link, observed 2026-08-01T17:24:15.137675Z

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Observation af85d360-d238-40ce-82cf-ad7d1fbb049d · inbound

Certifying Collective Reasoning in Multi-Agent Systems via Koopman Spectral Analysis cites this paper.

Certifying Collective Reasoning in Multi-Agent Systems via Koopman Spectral Analysis Modern Koopman Theory for Dynamical Systems

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-07T20:28:42.107981Z

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Observation 993ab7fa-61ee-4052-b2e8-db1dcaa2ca28 · inbound

Intrinsic Structure: Spectral Identifiability for Mechanistic Interpretability cites this paper.

Intrinsic Structure: Spectral Identifiability for Mechanistic Interpretability Modern Koopman Theory for Dynamical Systems

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-14T04:21:09.545177Z

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Observation c830d3d6-0df6-469f-aa40-6849d5d96234 · inbound

Koopman Representation of Nonlinear Virtual Environments in Kinesthetic Haptic Systems cites this paper.

Koopman Representation of Nonlinear Virtual Environments in Kinesthetic Haptic Systems Modern Koopman Theory for Dynamical Systems

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-15T14:17:47.389309Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.