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Paper Citation Record · LEDGER

Learning Stochastic Hamiltonian Systems via Stochastic Generating Function Neural Network

As of 7 August 2026, this Paper Citation Record lists 46 of 46 outbound references and 0 inbound Pith citation observations for arXiv:2507.14467.

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

pith.paper-citation-record.v1
2507.14467 v1

Coverage vector

measured 46 of 46 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T16:10:29.498566Z

measured 46 of 46 standing notices

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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

46 of 46 outbound references displayed

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  • verified fuzzy35
  • unresolved8
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External citation measurements

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Outbound references

Observation 681600a7-3b98-4242-9285-aec5a9c99097 · outbound

This paper cites Symplectic geometric algorithms for Hamiltonian systems[M].

Learning Stochastic Hamiltonian Systems via Stochastic Generating Function Neural Network Symplectic geometric algorithms for Hamiltonian systems[M]

Reference 1

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Observation c5e26f95-7e56-40f2-93d7-47d82d0ee5b8 · outbound

This paper cites Structure-Preserving Algorithms for Ordinary Differential Equations[M].

Learning Stochastic Hamiltonian Systems via Stochastic Generating Function Neural Network Structure-Preserving Algorithms for Ordinary Differential Equations[M]

Reference 2

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Observation c5f9c466-778d-47bc-a14a-2bc86e8047a3 · outbound

This paper cites M´ ecanique al´ eatoire.

Learning Stochastic Hamiltonian Systems via Stochastic Generating Function Neural Network M´ ecanique al´ eatoire

Reference 3

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Observation 37cf5456-1111-49b8-86b1-da6c35edf058 · outbound

This paper cites Conserved quantities and symmetries related to stochastic dynamical systems[J].

Learning Stochastic Hamiltonian Systems via Stochastic Generating Function Neural Network Conserved quantities and symmetries related to stochastic dynamical systems[J]

Reference 4

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Observation 7ba1bdf8-82f3-4898-b4af-51a44f9f9926 · outbound

This paper cites Mean-square symplectic methods for Hamiltonian systems with multiplicative noise.

Learning Stochastic Hamiltonian Systems via Stochastic Generating Function Neural Network Mean-square symplectic methods for Hamiltonian systems with multiplicative noise

Reference 5

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Observation 8f8d1f01-2dad-4833-a391-bfa3991e334e · outbound

This paper cites Symplectic methods for Hamiltonian systems with additive noise[J].

Learning Stochastic Hamiltonian Systems via Stochastic Generating Function Neural Network Symplectic methods for Hamiltonian systems with additive noise[J]

Reference 6

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Observation c36efc21-eec9-4cad-9b6b-26ed4ea29929 · outbound

This paper cites Predictor–corrector methods for a linear stochastic oscillator with additive noise[J].

Learning Stochastic Hamiltonian Systems via Stochastic Generating Function Neural Network Predictor–corrector methods for a linear stochastic oscillator with additive noise[J]

Reference 7

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Observation 071e9e9e-fbec-4d46-9442-a6838cad2425 · outbound

This paper cites Variational integrators and generating functions for stochastic Hamiltonian sys- tems[D].

Learning Stochastic Hamiltonian Systems via Stochastic Generating Function Neural Network Variational integrators and generating functions for stochastic Hamiltonian sys- tems[D]

Reference 8

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Observation d1a7c3aa-6aee-406f-b5bf-5938be85308c · outbound

This paper cites Stochastic variational integrators[J].

Learning Stochastic Hamiltonian Systems via Stochastic Generating Function Neural Network Stochastic variational integrators[J]

Reference 9

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Observation ee18461d-f73c-453f-8e1d-007aee5015f7 · outbound

This paper cites High-order symplectic schemes for stochastic Hamiltonian systems[J].

Learning Stochastic Hamiltonian Systems via Stochastic Generating Function Neural Network High-order symplectic schemes for stochastic Hamiltonian systems[J]

Reference 10

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Observation 3f3eaf89-3d69-4611-87b6-18406be66807 · outbound

This paper cites Symplectic integration of stochastic Hamiltonian systems[M].

Learning Stochastic Hamiltonian Systems via Stochastic Generating Function Neural Network Symplectic integration of stochastic Hamiltonian systems[M]

Reference 11

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Observation 1628ced6-a77e-4969-9b24-506700d1f2df · outbound

This paper cites Neural ordinary differential equations[J].

Learning Stochastic Hamiltonian Systems via Stochastic Generating Function Neural Network Neural ordinary differential equations[J]

Reference 12

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Observation 5fd6068d-2cff-4467-acdb-6665a628345f · outbound

This paper cites Symplectic ODE-Net: Learning Hamiltonian Dynamics with Control.

Learning Stochastic Hamiltonian Systems via Stochastic Generating Function Neural Network Symplectic ODE-Net: Learning Hamiltonian Dynamics with Control

Reference 13

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source=pdf_text observed=2026-08-06T16:10:26.705964Z digest=sha256:a0484e7276e95d06719fae23c7c9eec39bad64d997d3ca6d351af6f6a182e1d6

Observation cd3362ea-3556-40b2-a605-2851b3715c1b · outbound

This paper cites Pde-net: Learning pdes from data[J].

Learning Stochastic Hamiltonian Systems via Stochastic Generating Function Neural Network Pde-net: Learning pdes from data[J]

Reference 14

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Observation 7a8452de-9b15-41c4-86bd-51c1d69ad649 · outbound

This paper cites PDE-Net 2.0: Learning PDEs from data with a numeric-symbolic hybrid deep network[J].

Learning Stochastic Hamiltonian Systems via Stochastic Generating Function Neural Network PDE-Net 2.0: Learning PDEs from data with a numeric-symbolic hybrid deep network[J]

Reference 15

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Observation 541f25d3-dc9d-4deb-a685-64633c49cd5f · outbound

This paper cites SDE-Net: Equipping Deep Neural Networks with Uncertainty Estimates.

Learning Stochastic Hamiltonian Systems via Stochastic Generating Function Neural Network SDE-Net: Equipping Deep Neural Networks with Uncertainty Estimates

Reference 16

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Observation 7d3e0ae1-aaec-4edc-845f-38498b806ab9 · outbound

This paper cites Neural SDE: Stabilizing Neural ODE Networks with Stochastic Noise.

Learning Stochastic Hamiltonian Systems via Stochastic Generating Function Neural Network Neural SDE: Stabilizing Neural ODE Networks with Stochastic Noise

Reference 17

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Observation 0a0bca8c-47e3-4c13-9dfe-ba3556bcdeff · outbound

This paper cites Hamiltonian neural networks[J].

Learning Stochastic Hamiltonian Systems via Stochastic Generating Function Neural Network Hamiltonian neural networks[J]

Reference 18

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Observation d5115624-cd16-4ea5-a6c0-e7db9643399c · outbound

This paper cites Symplectic recurrent neural networks[J].

Learning Stochastic Hamiltonian Systems via Stochastic Generating Function Neural Network Symplectic recurrent neural networks[J]

Reference 19

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source=pdf_text observed=2026-08-06T16:10:27.160178Z digest=sha256:b920602f7a356425491ea54b40f9b50882d288cb42d3b5465a196b7eb3116d85

Observation ff4b083b-91ce-4eee-923f-722793d1698a · outbound

This paper cites Deep Hamiltonian networks based on symplectic integrators.

Learning Stochastic Hamiltonian Systems via Stochastic Generating Function Neural Network Deep Hamiltonian networks based on symplectic integrators

Reference 20

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Observation 868a6873-71a0-4c4a-aafa-b73a0c3b335e · outbound

This paper cites SympNets: Intrinsic structure-preserving symplectic networks for identifying Hamiltonian systems[J].

Learning Stochastic Hamiltonian Systems via Stochastic Generating Function Neural Network SympNets: Intrinsic structure-preserving symplectic networks for identifying Hamiltonian systems[J]

Reference 21

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

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Observation 390ee151-b340-4e38-9908-6caa01b757ae · outbound

This paper cites Journal of Computational Physics, 2021, 437(4):110325.

Learning Stochastic Hamiltonian Systems via Stochastic Generating Function Neural Network Journal of Computational Physics, 2021, 437(4):110325

Reference 22

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Observation 57898daa-cac2-4dfc-9f60-0e587431be6f · outbound

This paper cites Hamiltonian Generative Networks.

Learning Stochastic Hamiltonian Systems via Stochastic Generating Function Neural Network Hamiltonian Generative Networks

Reference 23

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source=pdf_text observed=2026-08-06T16:10:27.493692Z digest=sha256:41d4bd36971e4216bd2b2ebf8301c8ef9b020db27281d1c29b144d55c9f3fa54

Observation 219bd012-301e-49a1-9f53-8d00bfb5c7c4 · outbound

This paper cites Data-driven prediction of general Hamiltonian dynamics via learning exactly- symplectic maps[C].

Learning Stochastic Hamiltonian Systems via Stochastic Generating Function Neural Network Data-driven prediction of general Hamiltonian dynamics via learning exactly- symplectic maps[C]

Reference 24

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Observation 2bb294b5-de86-46e4-8560-0e791f86b4df · outbound

This paper cites Nonseparable Symplectic Neural Networks.

Learning Stochastic Hamiltonian Systems via Stochastic Generating Function Neural Network Nonseparable Symplectic Neural Networks

Reference 25

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Unavailable: canonical work link unavailable.

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Observation 58805026-bdf8-40d6-945f-abaabe7fe418 · outbound

This paper cites Structure-preserving method for reconstructing unknown Hamiltonian systems from trajectory data[J].

Learning Stochastic Hamiltonian Systems via Stochastic Generating Function Neural Network Structure-preserving method for reconstructing unknown Hamiltonian systems from trajectory data[J]

Reference 26

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

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Observation a7972a0e-c387-46be-9394-468dc3ef1275 · outbound

This paper cites Learning Hamiltonian systems considering system symmetries in neural networks[J].

Learning Stochastic Hamiltonian Systems via Stochastic Generating Function Neural Network Learning Hamiltonian systems considering system symmetries in neural networks[J]

Reference 27

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

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Observation e80866d9-d980-4b35-9142-301e691cc3da · outbound

This paper cites an unresolved cited work.

Learning Stochastic Hamiltonian Systems via Stochastic Generating Function Neural Network Unresolved cited work

Reference 28

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T16:10:27.971202Z digest=sha256:738191ab66b2dbd437961f7f876d2ab7e97f50ffb42f0628da19142b5c59d4d3

Observation 425647d5-1cbf-4e19-98d9-c15867173321 · outbound

This paper cites Detecting stochastic governing laws with observation on stationary distributions[J].

Learning Stochastic Hamiltonian Systems via Stochastic Generating Function Neural Network Detecting stochastic governing laws with observation on stationary distributions[J]

Reference 29

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

source=pdf_text observed=2026-08-06T16:10:28.042532Z digest=sha256:b430b626427acc2b197a51ba0c4fb84faa2cefd6423b97de2d3f5cfa459895fa

Observation 9c74bad1-a32e-44cd-b7b7-3d3db31d7b15 · outbound

This paper cites Scalable inference in sdes by direct matching of the fokker–planck–kolmogorov equation[J].

Learning Stochastic Hamiltonian Systems via Stochastic Generating Function Neural Network Scalable inference in sdes by direct matching of the fokker–planck–kolmogorov equation[J]

Reference 30

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Observation 25319dcf-534d-419c-bcbc-9ec7d3b9d09e · outbound

This paper cites Variational inference for stochastic differential equations[J].

Learning Stochastic Hamiltonian Systems via Stochastic Generating Function Neural Network Variational inference for stochastic differential equations[J]

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

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Observation aea767dc-eaac-42ad-9f34-845f997fe562 · outbound

This paper cites Black-box variational inference for stochastic differential equations[C].

Learning Stochastic Hamiltonian Systems via Stochastic Generating Function Neural Network Black-box variational inference for stochastic differential equations[C]

Reference 32

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source=pdf_text observed=2026-08-06T16:10:28.286524Z digest=sha256:3463261c49a98aebba5904dcd156a83f6d7e644a963ad6ce8fb4a435d82788af

Observation 4b9b7f3d-f4c5-41de-b15e-64c4a7fddae5 · outbound

This paper cites Modeling continuous stochastic processes with dynamic normalizing flows[J].

Learning Stochastic Hamiltonian Systems via Stochastic Generating Function Neural Network Modeling continuous stochastic processes with dynamic normalizing flows[J]

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

source=pdf_text observed=2026-08-06T16:10:28.372876Z digest=sha256:039aa394d0d85d7fb74b2c071e0bbb745fad4c40d5dde89766871cfd35116a34

Observation bca992d0-13c6-46dc-a4b8-52aa768dafaf · outbound

This paper cites Normalizing field flows: Solving forward and inverse stochastic dif- ferential equations using physics-informed flow models[J].

Learning Stochastic Hamiltonian Systems via Stochastic Generating Function Neural Network Normalizing field flows: Solving forward and inverse stochastic dif- ferential equations using physics-informed flow models[J]

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

source=pdf_text observed=2026-08-06T16:10:28.463457Z digest=sha256:c1b340de73d7bca188e1fde5461d2ec39eaaa914814309a21b658b3b0e5431be

Observation bac61732-4f65-4b8d-a017-4c437485537d · outbound

This paper cites Data-driven Effective Modeling of Multiscale Stochastic Dynamical Systems.

Learning Stochastic Hamiltonian Systems via Stochastic Generating Function Neural Network Data-driven Effective Modeling of Multiscale Stochastic Dynamical Systems

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local_arxiv, observed 2026-08-06T16:10:30.420676Z

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

source=pdf_text observed=2026-08-06T16:10:28.547485Z digest=sha256:1376dc3cdbe1362ef818f155cffe243383cdbe98465bcbd95825c86d3909ee1a

Observation 224e2b4f-3a9d-4445-b096-e7d98673faab · outbound

This paper cites Learning stochastic dynamical system via flow map operator[J].

Learning Stochastic Hamiltonian Systems via Stochastic Generating Function Neural Network Learning stochastic dynamical system via flow map operator[J]

Reference 36

Resolution
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raw_fallback, observed 2026-08-06T16:10:34.246114Z

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source=pdf_text observed=2026-08-06T16:10:28.644859Z digest=sha256:665e8b10744a95a886f28b352a607b1e640984a740c309d6c7dc899f5ee692a7

Observation fa9e7cdb-9569-45e1-977c-7c2ab68f1902 · outbound

This paper cites Modeling Unknown Stochastic Dynamical System Subject to External Excitation.

Learning Stochastic Hamiltonian Systems via Stochastic Generating Function Neural Network Modeling Unknown Stochastic Dynamical System Subject to External Excitation

Reference 37

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local_arxiv, observed 2026-08-06T16:10:29.970807Z

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source=pdf_text observed=2026-08-06T16:10:28.719779Z digest=sha256:1e0c4e59584411035cf19371841cf7472db97440633eab2fd30d341555810175

Observation 957766a6-8595-4bbf-ae20-1869b619ae8b · outbound

This paper cites Modeling unknown stochastic dynamical system via autoen- coder[J].

Learning Stochastic Hamiltonian Systems via Stochastic Generating Function Neural Network Modeling unknown stochastic dynamical system via autoen- coder[J]

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Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:10:34.042974Z

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source=pdf_text observed=2026-08-06T16:10:28.790393Z digest=sha256:a329fcf7ef05ae52c557982c82e9b1d785f7f90ea767d4c317d87d3e8dcea57b

Observation 6043a60e-6649-4047-b5f9-d60ada7ba83d · outbound

This paper cites A Training-Free Conditional Diffusion Model for Learning Stochastic Dynamical Systems.

Learning Stochastic Hamiltonian Systems via Stochastic Generating Function Neural Network A Training-Free Conditional Diffusion Model for Learning Stochastic Dynamical Systems

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Resolution
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no resolver link, observed 2026-08-06T16:10:28.858810Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T16:10:28.858810Z digest=sha256:7d278ddb0598a098ad7f4db9150082c676520c52e2f6a02434c5c7ef272569d2

Observation 704394d3-ac62-4f89-8bcf-3f2f4c49a253 · outbound

This paper cites Diffusion-Model-Assisted Supervised Learning of Generative Models for Density Estimation[J].

Learning Stochastic Hamiltonian Systems via Stochastic Generating Function Neural Network Diffusion-Model-Assisted Supervised Learning of Generative Models for Density Estimation[J]

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Resolution
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raw_fallback, observed 2026-08-06T16:10:33.858061Z

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=2026-08-06T16:10:28.941887Z digest=sha256:62459fd6bbbd66e4c5637e2af1f43ca365e7a3b2f31075713e8c2cc3286a1c19

Observation d458d93d-bbeb-4027-b546-3fecc45bb602 · outbound

This paper cites Learning a class of stochastic differential equations via numerics- informed Bayesian denoising[J].

Learning Stochastic Hamiltonian Systems via Stochastic Generating Function Neural Network Learning a class of stochastic differential equations via numerics- informed Bayesian denoising[J]

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Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:10:33.653407Z

Source-reported events for the cited work

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source=pdf_text observed=2026-08-06T16:10:29.049375Z digest=sha256:33e8a994bf81d6de442714897d8ce8572f46c4681d0fb8f71da3f7ee7d785d6f

Observation b4f6bdb7-2f96-4f65-bced-aecbad9e6392 · outbound

This paper cites Learning Parameters of a Class of Stochastic Lotka-Volterra Systems with Neural Networks[J].

Learning Stochastic Hamiltonian Systems via Stochastic Generating Function Neural Network Learning Parameters of a Class of Stochastic Lotka-Volterra Systems with Neural Networks[J]

Reference 42

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:10:33.419076Z

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=2026-08-06T16:10:29.161313Z digest=sha256:4faf25eb88eb0d5afd6cb789e62b1c2b7b82615e8d0a3eb4a8b9b6af6b99f593

Observation 9b5fb1f7-6fec-4f27-b8ce-e251039da2e8 · outbound

This paper cites Quadrature Based Neural Network Learning of Stochastic Hamil- tonian Systems[J].

Learning Stochastic Hamiltonian Systems via Stochastic Generating Function Neural Network Quadrature Based Neural Network Learning of Stochastic Hamil- tonian Systems[J]

Reference 43

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:10:33.228854Z

Source-reported events for the cited work

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source=pdf_text observed=2026-08-06T16:10:29.242414Z digest=sha256:a0c073ac9363249da7f159fa19b45ee07a93e9b537dafc4c4c4e56d0eab7615a

Observation f79d380a-2a9b-4964-80c6-534e94aaa354 · outbound

This paper cites Journal of Computational Physics, 2023, 494: 112495.

Learning Stochastic Hamiltonian Systems via Stochastic Generating Function Neural Network Journal of Computational Physics, 2023, 494: 112495

Reference 44

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:10:32.971721Z

Source-reported events for the cited work

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source=pdf_text observed=2026-08-06T16:10:29.337844Z digest=sha256:44e375fb602bd7f2a7ad0e72aa73ff99fcd10ebc691f743791b9b22529e07697

Observation 2074b613-e120-490b-8b23-a6321a7cd4b2 · outbound

This paper cites Numerical methods for stochastic systems preserv- ing symplectic structure[J].

Learning Stochastic Hamiltonian Systems via Stochastic Generating Function Neural Network Numerical methods for stochastic systems preserv- ing symplectic structure[J]

Reference 45

Resolution
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raw_fallback, observed 2026-08-06T16:10:31.399822Z

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source=pdf_text observed=2026-08-06T16:10:29.419051Z digest=sha256:33588a29dfd39def4fe27e9f7393d3cd12dd55d1d95362fc75677433c01ae55f

Observation a844b01a-389f-4cec-ac9e-94ff0052fe29 · outbound

This paper cites Numerical simulation of a linear stochastic oscillator with additive noise, Appl.Numer.Math.

Learning Stochastic Hamiltonian Systems via Stochastic Generating Function Neural Network Numerical simulation of a linear stochastic oscillator with additive noise, Appl.Numer.Math

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source=pdf_text observed=2026-08-06T16:10:29.498566Z digest=sha256:b9ba79dd96fbb6ba7a962186fa14ca7e614ede3b40f2fe12961db32e58df49fc

Pith citing papers

No inbound Pith citation observations are available.