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Paper Citation Record · LEDGER

Learning mechanical systems from real-world data using discrete forced Lagrangian dynamics

As of 8 August 2026, this Paper Citation Record lists 60 of 60 outbound references and 2 inbound Pith citation observations for arXiv:2505.20370.

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

pith.paper-citation-record.v1
2505.20370 v1

Coverage vector

measured 60 of 60 reference resolution

Typed states for the displayed outbound observations.

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measured 62 of 62 standing notices

One-hop event checks from named stored sources.

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measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-05-20T20:41:28.131651Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-20T20:43:43.395511Z

Reference resolution

60 of 60 outbound references displayed

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Outbound references

Observation 41c5b570-652e-44c0-87a4-59878d053b9d · outbound

This paper cites Hamiltonian neural networks.Advances in neural information processing systems, 32, 2019.

Learning mechanical systems from real-world data using discrete forced Lagrangian dynamics Hamiltonian neural networks.Advances in neural information processing systems, 32, 2019

Reference 1

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Observation 713d2c43-4b40-4250-a2a8-b577c2d2d57c · outbound

This paper cites Lagrangian Neural Networks.

Learning mechanical systems from real-world data using discrete forced Lagrangian dynamics Lagrangian Neural Networks

Reference 2

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Observation 5c4eea68-2252-4040-9663-668a8f97d536 · outbound

This paper cites Generalized Lagrangian Neural Networks.

Learning mechanical systems from real-world data using discrete forced Lagrangian dynamics Generalized Lagrangian Neural Networks

Reference 3

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Observation 5536a2bf-561f-49f0-a01a-b1c951e88fac · outbound

This paper cites Dissipative SymODEN: Encoding Hamiltonian Dynamics with Dissipation and Control into Deep Learning.

Learning mechanical systems from real-world data using discrete forced Lagrangian dynamics Dissipative SymODEN: Encoding Hamiltonian Dynamics with Dissipation and Control into Deep Learning

Reference 4

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Observation c1533861-ebaa-41ef-ae07-82fb38be4ea3 · outbound

This paper cites Solving inverse problems using data-driven models.Acta Numerica, 28:1–174, 2019.

Learning mechanical systems from real-world data using discrete forced Lagrangian dynamics Solving inverse problems using data-driven models.Acta Numerica, 28:1–174, 2019

Reference 5

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Observation a0e2d57f-ec2a-4801-80da-29b3bc9dd166 · outbound

This paper cites Data-driven modeling: concept, techniques, challenges and a case study.

Learning mechanical systems from real-world data using discrete forced Lagrangian dynamics Data-driven modeling: concept, techniques, challenges and a case study

Reference 6

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Observation f00e3e5f-4e88-4d7a-87ad-c7ee2164788a · outbound

This paper cites A review on basic data-driven approaches for industrial process monitoring.IEEE Transactions on Industrial electronics, 61(11):6418– 6428, 2014.

Learning mechanical systems from real-world data using discrete forced Lagrangian dynamics A review on basic data-driven approaches for industrial process monitoring.IEEE Transactions on Industrial electronics, 61(11):6418– 6428, 2014

Reference 7

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Observation 618eebbc-f6c7-4e0a-89e9-ff17da70be10 · outbound

This paper cites Dealing with noise problem in machine learning data-sets: A systematic review.Procedia Computer Science, 161:466–474, 2019.

Learning mechanical systems from real-world data using discrete forced Lagrangian dynamics Dealing with noise problem in machine learning data-sets: A systematic review.Procedia Computer Science, 161:466–474, 2019

Reference 8

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Observation e6f29753-3798-49be-b175-a11d0cf9fe9e · outbound

This paper cites Generalizing to unseen domains: A survey on domain general- ization.IEEE transactions on knowledge and data engineering, 35(8):8052–8072, 2022.

Learning mechanical systems from real-world data using discrete forced Lagrangian dynamics Generalizing to unseen domains: A survey on domain general- ization.IEEE transactions on knowledge and data engineering, 35(8):8052–8072, 2022

Reference 9

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Observation 0c02642b-c1dc-4333-856d-4b399a554b6c · outbound

This paper cites Numerical differentiation of noisy, nonsmooth data.International Scholarly Research Notices, 2011(1):164564, 2011.

Learning mechanical systems from real-world data using discrete forced Lagrangian dynamics Numerical differentiation of noisy, nonsmooth data.International Scholarly Research Notices, 2011(1):164564, 2011

Reference 10

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Observation 4250c996-86a3-4e94-b931-a30a82ae1353 · outbound

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Learning mechanical systems from real-world data using discrete forced Lagrangian dynamics Unresolved cited work

Reference 11

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Observation 664a65da-87d1-4cc4-9f58-eea936423732 · outbound

This paper cites A survey of advances in vision-based human motion capture and analysis.Computer vision and image understanding, 104(2-3): 90–126, 2006.

Learning mechanical systems from real-world data using discrete forced Lagrangian dynamics A survey of advances in vision-based human motion capture and analysis.Computer vision and image understanding, 104(2-3): 90–126, 2006

Reference 12

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Observation 972fcb47-2870-47fc-ba76-582f17ab34c6 · outbound

This paper cites Skeleton-based abnormal gait detection.Sensors, 16(11):1792, 2016.

Learning mechanical systems from real-world data using discrete forced Lagrangian dynamics Skeleton-based abnormal gait detection.Sensors, 16(11):1792, 2016

Reference 13

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Observation aec1214f-9545-4878-8a5d-0d97ef498695 · outbound

This paper cites Artificial intelligence for skeleton-based physical rehabilitation action evaluation: A systematic review.Computers in Biology and Medicine, 158:106835, 2023.

Learning mechanical systems from real-world data using discrete forced Lagrangian dynamics Artificial intelligence for skeleton-based physical rehabilitation action evaluation: A systematic review.Computers in Biology and Medicine, 158:106835, 2023

Reference 14

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Observation 94684fd4-eed4-45a0-8089-f89a76fe7d11 · outbound

This paper cites An attention enhanced spatial– temporal graph convolutional lstm network for action recognition in karate.Applied Sciences, 11(18):8641, 2021.

Learning mechanical systems from real-world data using discrete forced Lagrangian dynamics An attention enhanced spatial– temporal graph convolutional lstm network for action recognition in karate.Applied Sciences, 11(18):8641, 2021

Reference 15

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Observation c1b5d876-557d-465e-9271-73c971de4f2c · outbound

This paper cites Variational learning of euler–lagrange dynamics from data.Journal of Computational and Applied Mathematics, 421:114780, 2023.

Learning mechanical systems from real-world data using discrete forced Lagrangian dynamics Variational learning of euler–lagrange dynamics from data.Journal of Computational and Applied Mathematics, 421:114780, 2023

Reference 16

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Observation f21eda87-3335-4d04-8afa-aeb8e96b3bd7 · outbound

This paper cites Port-hamiltonian neural networks for learning explicit time-dependent dynamical systems.

Learning mechanical systems from real-world data using discrete forced Lagrangian dynamics Port-hamiltonian neural networks for learning explicit time-dependent dynamical systems

Reference 17

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Observation dec3f621-f015-4a2c-a958-509d9dfc8c8f · outbound

This paper cites Dissipative Hamiltonian Neural Networks: Learning Dissipative and Conservative Dynamics Separately.

Learning mechanical systems from real-world data using discrete forced Lagrangian dynamics Dissipative Hamiltonian Neural Networks: Learning Dissipative and Conservative Dynamics Separately

Reference 18

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Observation d9d13627-364f-4d0b-bf63-23762d538f03 · outbound

This paper cites Neural ordinary differential equations.Advances in neural information processing systems, 31, 2018.

Learning mechanical systems from real-world data using discrete forced Lagrangian dynamics Neural ordinary differential equations.Advances in neural information processing systems, 31, 2018

Reference 19

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Observation 703bac9e-bdce-4576-bf27-965ae7137bcb · outbound

This paper cites Physics-informed machine learning: A comprehensive review on applications in anomaly detection and condition monitoring.Expert Systems with Applications, page 124678, 2024.

Learning mechanical systems from real-world data using discrete forced Lagrangian dynamics Physics-informed machine learning: A comprehensive review on applications in anomaly detection and condition monitoring.Expert Systems with Applications, page 124678, 2024

Reference 20

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Observation d49a81fa-c384-4c70-960a-809b84ec9ecd · outbound

This paper cites Deep learning and process understanding for data-driven earth system science.

Learning mechanical systems from real-world data using discrete forced Lagrangian dynamics Deep learning and process understanding for data-driven earth system science

Reference 21

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Observation 81e488a1-f881-42e9-8391-648a075a43b0 · outbound

This paper cites Discovering physical concepts with neural networks.Physical review letters, 124(1):010508, 2020.

Learning mechanical systems from real-world data using discrete forced Lagrangian dynamics Discovering physical concepts with neural networks.Physical review letters, 124(1):010508, 2020

Reference 22

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Observation 11c124ca-bbd6-4d1d-a692-5e25f8e30b13 · outbound

This paper cites Theory-guided data science: A new paradigm for scientific discovery from data.IEEE Transactions on knowledge and data engineering, 29(10):2318–2331, 2017.

Learning mechanical systems from real-world data using discrete forced Lagrangian dynamics Theory-guided data science: A new paradigm for scientific discovery from data.IEEE Transactions on knowledge and data engineering, 29(10):2318–2331, 2017

Reference 23

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Observation a07b7b87-86d4-4985-ba76-681953683d53 · outbound

This paper cites Physics-informed machine learning for modeling multidimensional dynamics.Nonlinear Dynamics, 112(24): 21565–21585, 2024.

Learning mechanical systems from real-world data using discrete forced Lagrangian dynamics Physics-informed machine learning for modeling multidimensional dynamics.Nonlinear Dynamics, 112(24): 21565–21585, 2024

Reference 24

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Learning mechanical systems from real-world data using discrete forced Lagrangian dynamics Unresolved cited work

Reference 25

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Observation 351996ce-a21f-480a-ad1d-abc9a80173a4 · outbound

This paper cites Deep energy-based modeling of discrete-time physics.Advances in Neural Information Processing Systems, 33:13100–13111, 2020.

Learning mechanical systems from real-world data using discrete forced Lagrangian dynamics Deep energy-based modeling of discrete-time physics.Advances in Neural Information Processing Systems, 33:13100–13111, 2020

Reference 26

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Observation a691cb27-71d2-4b0d-9c78-274ac00c5e8f · outbound

This paper cites Neural symplectic form: Learn- ing hamiltonian equations on general coordinate systems.Advances in Neural Information Processing Systems, 34:16659–16670, 2021.

Learning mechanical systems from real-world data using discrete forced Lagrangian dynamics Neural symplectic form: Learn- ing hamiltonian equations on general coordinate systems.Advances in Neural Information Processing Systems, 34:16659–16670, 2021

Reference 27

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Observation e4c8359c-81ca-48a7-881b-5b4194b2c7c5 · outbound

This paper cites Physics-informed neural ode (pinode): embedding physics into models using collocation points.Scientific Reports, 13 (1):10166, 2023.

Learning mechanical systems from real-world data using discrete forced Lagrangian dynamics Physics-informed neural ode (pinode): embedding physics into models using collocation points.Scientific Reports, 13 (1):10166, 2023

Reference 28

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Observation cd0e4e11-c411-44ef-96e6-e5c268d45986 · outbound

This paper cites Learning dynamical systems from noisy data with inverse-explicit integrators.Physica D: Nonlinear Phenomena, 472:134471, 2025.

Learning mechanical systems from real-world data using discrete forced Lagrangian dynamics Learning dynamical systems from noisy data with inverse-explicit integrators.Physica D: Nonlinear Phenomena, 472:134471, 2025

Reference 29

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Observation e31c27d6-91d5-458a-9c43-4c1f976238a5 · outbound

This paper cites Symplectic Neural Networks Based on Dynamical Systems.

Learning mechanical systems from real-world data using discrete forced Lagrangian dynamics Symplectic Neural Networks Based on Dynamical Systems

Reference 30

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Source-reported events for the cited work

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Observation 84d4b2fb-6e8e-4d88-9666-382e7259d39b · outbound

This paper cites Discovering governing equations from data by sparse identification of nonlinear dynamical systems.Proceedings of the national academy of sciences, 113(15):3932–3937, 2016.

Learning mechanical systems from real-world data using discrete forced Lagrangian dynamics Discovering governing equations from data by sparse identification of nonlinear dynamical systems.Proceedings of the national academy of sciences, 113(15):3932–3937, 2016

Reference 32

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Source-reported events for the cited work

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Observation b5b4ea81-f305-4b1d-aa99-8b04c88e6190 · outbound

This paper cites Data-driven discovery of coordinates and governing equations.Proceedings of the National Academy of Sciences, 116(45):22445–22451, 2019.

Learning mechanical systems from real-world data using discrete forced Lagrangian dynamics Data-driven discovery of coordinates and governing equations.Proceedings of the National Academy of Sciences, 116(45):22445–22451, 2019

Reference 33

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Observation 55701172-7579-4eeb-b240-7e05fd8df277 · outbound

This paper cites Simplifying hamiltonian and lagrangian neural networks via explicit constraints.Advances in neural information processing systems, 33:13880–13889, 2020.

Learning mechanical systems from real-world data using discrete forced Lagrangian dynamics Simplifying hamiltonian and lagrangian neural networks via explicit constraints.Advances in neural information processing systems, 33:13880–13889, 2020

Reference 34

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raw_fallback, observed 2026-08-07T14:11:51.348203Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T14:11:45.675402Z digest=sha256:e495e88f0d3bc7ee36d172cb7a0080354500735cabdf24136c4f40527dff0634

Observation 3b368441-03d9-4df9-a031-42feabde056b · outbound

This paper cites Learning hamiltonians of constrained mechanical systems.Journal of Computational and Applied Mathematics, 417: 114608, 2023.

Learning mechanical systems from real-world data using discrete forced Lagrangian dynamics Learning hamiltonians of constrained mechanical systems.Journal of Computational and Applied Mathematics, 417: 114608, 2023

Reference 35

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:11:51.225647Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T14:11:45.779964Z digest=sha256:a272cb1b9c6b5a95bb4b69c685e3de07854eb721661896c9053c91410f7e59ba

Observation 22a3ace0-269e-44c5-ba83-483f1fca2e83 · outbound

This paper cites A Structure-Preserving Kernel Method for Learning Hamiltonian Systems.

Learning mechanical systems from real-world data using discrete forced Lagrangian dynamics A Structure-Preserving Kernel Method for Learning Hamiltonian Systems

Reference 36

Resolution
unresolved
no resolver link, observed 2026-08-07T14:11:45.858803Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T14:11:45.858803Z digest=sha256:11f335cd605bd5ed60bc01f00dacc7b2ff780406f7872264bec6b16d38654397

Observation 7a9a1d14-6a0e-484f-9040-b24752396161 · outbound

This paper cites an unresolved cited work.

Learning mechanical systems from real-world data using discrete forced Lagrangian dynamics Unresolved cited work

Reference 37

Resolution
unresolved
raw_fallback, observed 2026-08-07T14:11:51.098702Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T14:11:45.959772Z digest=sha256:440754488f6ed82461ee027060554f708e6e875df5e6386c0a002be104b9c7a8

Observation 3afda72d-0966-4919-9999-f734b9985ec6 · outbound

This paper cites an unresolved cited work.

Learning mechanical systems from real-world data using discrete forced Lagrangian dynamics Unresolved cited work

Reference 38

Resolution
unresolved
raw_fallback, observed 2026-08-07T14:11:50.955901Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T14:11:46.064409Z digest=sha256:610c0d6a1a5852c76eb3d1b6d97729041e8192cbd4e48f71f59160c96cd4d143

Observation 5bdd4915-5f5b-4ec8-9d93-5de794b58731 · outbound

This paper cites Learning strange attractors with reservoir systems.Nonlinearity, 36(9):4674, 2023.

Learning mechanical systems from real-world data using discrete forced Lagrangian dynamics Learning strange attractors with reservoir systems.Nonlinearity, 36(9):4674, 2023

Reference 39

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:11:50.832144Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T14:11:46.151278Z digest=sha256:907bf7fd6c20c0ab8f7136c514dcf800e3aacc8a8454c0ddf37a45c6c555f93f

Observation 36800393-84b7-41ed-b21b-5991f5347ae8 · outbound

This paper cites Deep discrete-time lagrangian mechanics.

Learning mechanical systems from real-world data using discrete forced Lagrangian dynamics Deep discrete-time lagrangian mechanics

Reference 40

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:11:50.673145Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T14:11:46.273335Z digest=sha256:94a91e1e59a24b86a038e66c37bba3cb7d54d69e78afa702c99664969d96dd07

Observation bf9ee673-a56a-432d-a242-c633642f401b · outbound

This paper cites Machine learning and serving of discrete field theories.Scientific Reports, 10(1): 19329, 2020.

Learning mechanical systems from real-world data using discrete forced Lagrangian dynamics Machine learning and serving of discrete field theories.Scientific Reports, 10(1): 19329, 2020

Reference 41

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:11:50.542549Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T14:11:46.365495Z digest=sha256:6540c3d7c51240d568fa4fc3d17efffc1f32ba30b57e29e580e55ac7f31ebc4f

Observation 0c28b7fd-64b7-4dec-950f-b71bdb26178a · outbound

This paper cites Deep Lagrangian Networks: Using Physics as Model Prior for Deep Learning.

Learning mechanical systems from real-world data using discrete forced Lagrangian dynamics Deep Lagrangian Networks: Using Physics as Model Prior for Deep Learning

Reference 42

Resolution
unresolved
no resolver link, observed 2026-08-07T14:11:46.456346Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T14:11:46.456346Z digest=sha256:c41598ca17cdf9ab98a8a46bc0d6d3195e67d95e942c330892e4201b9b3e4989

Observation c2a6cfdd-2963-4d8c-914a-22bcffc71320 · outbound

This paper cites Learning of discrete models of variational pdes from data.Chaos: An Interdisciplinary Journal of Nonlinear Science, 34(1), 2024.

Learning mechanical systems from real-world data using discrete forced Lagrangian dynamics Learning of discrete models of variational pdes from data.Chaos: An Interdisciplinary Journal of Nonlinear Science, 34(1), 2024

Reference 43

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:11:50.386049Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T14:11:46.533957Z digest=sha256:40063ce98f6d53ec70214f65cae8756fab99c1bfd4cbaad8b192551ca00bed3d

Observation 5d1f05db-4c70-4f2b-b557-a9b6a56048ff · outbound

This paper cites Machine learning of continuous and discrete variational ODEs with convergence guarantee and uncertainty quantification.

Learning mechanical systems from real-world data using discrete forced Lagrangian dynamics Machine learning of continuous and discrete variational ODEs with convergence guarantee and uncertainty quantification

Reference 44

Resolution
verified exact
local_arxiv, observed 2026-08-07T14:11:48.450182Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T14:11:46.590490Z digest=sha256:69d45dc1b41b4fabcfa41757109149a3c7f32189fe9bb51e165fea02bf2a0232

Observation 8e599a2a-b9af-42b4-b064-8bbd71d22936 · outbound

This paper cites Learnability of linear port-hamiltonian systems.Journal of Machine Learning Research, 25(68):1–56, 2024.

Learning mechanical systems from real-world data using discrete forced Lagrangian dynamics Learnability of linear port-hamiltonian systems.Journal of Machine Learning Research, 25(68):1–56, 2024

Reference 45

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:11:50.256746Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T14:11:46.699478Z digest=sha256:4257c8f18f96bbcc09b3cfcbf58d09a97861408a64fc4c4cc24b2ee195c0f775

Observation 279815c1-be4e-459e-a659-f54bf64820b3 · outbound

This paper cites Pseudo-hamiltonian neural networks for learning partial differential equations.Journal of Computational Physics, 500:112738, 2024.

Learning mechanical systems from real-world data using discrete forced Lagrangian dynamics Pseudo-hamiltonian neural networks for learning partial differential equations.Journal of Computational Physics, 500:112738, 2024

Reference 46

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:11:50.093861Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T14:11:46.788782Z digest=sha256:1eccd057786b34156c7dbef56892d522ddb31479651d0ac57fed87d7beafb464

Observation 250eb961-934c-44f9-8438-58a368b39384 · outbound

This paper cites Efficiently Parameterized Neural Metriplectic Systems.

Learning mechanical systems from real-world data using discrete forced Lagrangian dynamics Efficiently Parameterized Neural Metriplectic Systems

Reference 47

Resolution
unresolved
no resolver link, observed 2026-08-07T14:11:46.895215Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T14:11:46.895215Z digest=sha256:ba619e3b34bcc16d3378ca4974de708ea6710c2ea8392871d7c4b2a0a408f9c9

Observation aca81a43-5ad2-4695-ad0a-e8674b50b511 · outbound

This paper cites Variational order for forced lagrangian systems.Nonlinearity, 31(8):3814, 2018.

Learning mechanical systems from real-world data using discrete forced Lagrangian dynamics Variational order for forced lagrangian systems.Nonlinearity, 31(8):3814, 2018

Reference 48

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:11:49.987726Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T14:11:46.984100Z digest=sha256:314241efc9679a0d6b4351cdc73f281d31dd259754973827ae7d563d16fc0f8d

Observation 4f279685-a7e5-4425-8832-0a2793546d9a · outbound

This paper cites an unresolved cited work.

Learning mechanical systems from real-world data using discrete forced Lagrangian dynamics Unresolved cited work

Reference 49

Resolution
unresolved
raw_fallback, observed 2026-08-07T14:11:49.870772Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T14:11:47.066203Z digest=sha256:07bb63f5a04014059cf194ea0c52552f279b274c10b4d5cfeaeff39e8803cf89

Observation f5ff3d8d-d69d-40d4-81a3-17e0a15cd11b · outbound

This paper cites Discrete lagrangian neural networks with automatic symmetry discovery.IFAC-PapersOnLine, 56(2):3203–3210, 2023.

Learning mechanical systems from real-world data using discrete forced Lagrangian dynamics Discrete lagrangian neural networks with automatic symmetry discovery.IFAC-PapersOnLine, 56(2):3203–3210, 2023

Reference 50

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:11:49.733048Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T14:11:47.145217Z digest=sha256:8189af033800702340673eb8569ece6003a2f5b83c131b8476844ff0ac160f1e

Observation 35e90f4b-9222-4f98-9545-89bf66937d25 · outbound

This paper cites Dropout: a simple way to prevent neural networks from overfitting.The journal of machine learning research, 15(1):1929–1958, 2014.

Learning mechanical systems from real-world data using discrete forced Lagrangian dynamics Dropout: a simple way to prevent neural networks from overfitting.The journal of machine learning research, 15(1):1929–1958, 2014

Reference 51

Resolution
unresolved
no resolver link, observed 2026-08-07T14:11:47.245707Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T14:11:47.245707Z digest=sha256:4885bcbfb79cbd500cdc9f8c9897d20497ffa4d27e38ed4eb6794b7cf7274d4e

Observation 75e0abdf-693b-4579-bbc5-0ff6617a8dca · outbound

This paper cites an unresolved cited work.

Learning mechanical systems from real-world data using discrete forced Lagrangian dynamics Unresolved cited work

Reference 52

Resolution
unresolved
raw_fallback, observed 2026-08-07T14:11:49.614745Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T14:11:47.364425Z digest=sha256:6ee05125ef7f170e50d6008f560f3223973c61c32feea6f842d5132b0d31920c

Observation 3506918f-5911-45ba-9505-2dd5bf8140a4 · outbound

This paper cites Gymnasium: A Standard Interface for Reinforcement Learning Environments.

Learning mechanical systems from real-world data using discrete forced Lagrangian dynamics Gymnasium: A Standard Interface for Reinforcement Learning Environments

Reference 53

Resolution
unresolved
no resolver link, observed 2026-08-07T14:11:47.459099Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T14:11:47.459099Z digest=sha256:9ec8eee4585f8d7470756a35a62961d7165459840e3e849b5a193502f302335d

Observation d5274fb3-227f-47cc-a48d-b5f17d9c7e97 · outbound

This paper cites OpenAI Gym.

Learning mechanical systems from real-world data using discrete forced Lagrangian dynamics OpenAI Gym

Reference 54

Resolution
unresolved
no resolver link, observed 2026-08-07T14:11:47.540739Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T14:11:47.540739Z digest=sha256:f936a4dec52a0feacd103021274bae849ad69da6a2de88236b080567344dea47

Observation 7b127d27-7b5d-448b-ba3d-9ce2e1221364 · outbound

This paper cites A combined corner and edge detector.

Learning mechanical systems from real-world data using discrete forced Lagrangian dynamics A combined corner and edge detector

Reference 55

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:11:49.521911Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T14:11:47.637004Z digest=sha256:dda21ade80d6d056a71322b9b72df192ec0da329c4906168eb2d9b969e39244a

Observation 5d644cf2-be37-457f-991f-a1a60090cdfb · outbound

This paper cites Measures of the amount of ecologic association between species.Ecology, 26(3): 297–302, 1945.

Learning mechanical systems from real-world data using discrete forced Lagrangian dynamics Measures of the amount of ecologic association between species.Ecology, 26(3): 297–302, 1945

Reference 56

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:11:49.408909Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T14:11:47.739920Z digest=sha256:49958bb845fc7b6ba808cf3b9421cdd203483a566d199c4f1f606204ef99ede1

Observation 635108a3-a404-4463-b1bf-fa1bf53b0f2a · outbound

This paper cites Cmu graphics lab motion capture database.

Learning mechanical systems from real-world data using discrete forced Lagrangian dynamics Cmu graphics lab motion capture database

Reference 57

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:11:49.305861Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T14:11:47.795815Z digest=sha256:d06ac4dc7be89cd30796f0a8954e90678db29ce7fd019867718626ed90e1b024

Observation 44e1bf45-4251-4e6a-8091-1a14e3bc18f4 · outbound

This paper cites Guide to the carnegie mellon university multimodal activity (cmu- mmac) database.

Learning mechanical systems from real-world data using discrete forced Lagrangian dynamics Guide to the carnegie mellon university multimodal activity (cmu- mmac) database

Reference 58

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:11:49.187501Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T14:11:47.884976Z digest=sha256:f8e1ec1eb18eef37c53d66799f2961bc85202fc9253afff252b7906a5648b53f

Observation 9adf444c-438a-49ed-948d-ba77468e4502 · outbound

This paper cites Smoothing and differentiation of data by simplified least squares procedures.

Learning mechanical systems from real-world data using discrete forced Lagrangian dynamics Smoothing and differentiation of data by simplified least squares procedures

Reference 59

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:11:49.050837Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T14:11:47.968119Z digest=sha256:14818a8240c83a2e9fb7280b727f0ca9812665c2904b3e76cff4d30e1977a701

Observation 76a8e2a7-4580-4b6c-a52e-aacdf43b6c42 · outbound

This paper cites Symmetric multistep methods over long times.Numerische Mathematik, 97:699–723, 2004.

Learning mechanical systems from real-world data using discrete forced Lagrangian dynamics Symmetric multistep methods over long times.Numerische Mathematik, 97:699–723, 2004

Reference 60

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:11:48.937312Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T14:11:48.065277Z digest=sha256:3fb33ea069f7b06a25c49bd33bd9ebff40efe6e10f948faa7086cf4d0274aaa3

Observation e5111ac2-2045-480f-99ea-1cde823527a3 · outbound

This paper cites Symmetric multistep methods for charged-particle dynamics.

Learning mechanical systems from real-world data using discrete forced Lagrangian dynamics Symmetric multistep methods for charged-particle dynamics

Reference 61

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T14:11:48.778596Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T14:11:48.183367Z digest=sha256:3e27333d04fe4a94d2306a9eb70500d74dd49407139ee944f39f4b3383c67be9

Pith citing papers

Observation cbae8a6f-8721-493b-ad2a-a2b9f205e83d · inbound

Structure-Preserving Gaussian Processes Via Discrete Euler-Lagrange Equations cites this paper.

Structure-Preserving Gaussian Processes Via Discrete Euler-Lagrange Equations Learning mechanical systems from real-world data using discrete forced Lagrangian dynamics

Reference 13

Resolution
verified exact
arxiv_id, observed 2026-05-11T18:56:05.814368Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-08T13:28:06.412955Z digest=sha256:b9f9ead1a4a143e6e54288b6e83586d7ab68b9daebe8c60ecc6d1cc74894d304

Observation 2e8a4f45-96b3-48c0-8c7b-365169e40d83 · inbound

Hypothesis-driven construction of mesoscopic dynamics cites this paper.

Hypothesis-driven construction of mesoscopic dynamics Learning mechanical systems from real-world data using discrete forced Lagrangian dynamics

Reference 2

Resolution
verified exact
arxiv_id, observed 2026-05-20T20:43:43.397035Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-05-20T20:41:28.131651Z digest=sha256:89aa1577cb7a435deaec63da74bd7f7bd956a07a2e583de6b492a495a792853e