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Paper Citation Record · LEDGER

Artificial neural network solver for Fokker-Planck and Koopman eigenfunctions

As of 17 August 2026, this Paper Citation Record lists 58 of 58 outbound references and 2 inbound Pith citation observations for arXiv:2508.20339.

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

pith.paper-citation-record.v1
2508.20339 v1

Coverage vector

measured 58 of 58 reference resolution

Typed states for the displayed outbound observations.

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measured 60 of 60 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 2026-08-05T10:20:42.389239Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-05T10:20:42.608102Z

Reference resolution

58 of 58 outbound references displayed

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  • unresolved28
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 7e07f813-1213-4043-8bb6-f38be951749a · outbound

This paper cites Barbara, T.

Artificial neural network solver for Fokker-Planck and Koopman eigenfunctions Barbara, T

Reference 1

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Observation d7d7064d-f916-4f6a-9667-29b8285a3423 · outbound

This paper cites An overview on deep learning-based approximation methods for partial differential equations.

Artificial neural network solver for Fokker-Planck and Koopman eigenfunctions An overview on deep learning-based approximation methods for partial differential equations

Reference 2

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Observation c6f6b716-7dfb-441a-9b4a-3ffe45bbf116 · outbound

This paper cites an unresolved cited work.

Artificial neural network solver for Fokker-Planck and Koopman eigenfunctions Unresolved cited work

Reference 3

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Observation 5f6ef079-2948-4f24-9db9-2c9a57d709ab · outbound

This paper cites an unresolved cited work.

Artificial neural network solver for Fokker-Planck and Koopman eigenfunctions Unresolved cited work

Reference 4

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

This paper cites Modern Koopman Theory for Dynamical Systems.

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

Reference 5

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Observation 089764c1-6629-4ea6-a858-61ad6abeaa5a · outbound

This paper cites Budiˇsi´c, R.

Artificial neural network solver for Fokker-Planck and Koopman eigenfunctions Budiˇsi´c, R

Reference 6

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Observation 15a4a75b-fb90-4a76-ae65-bb701a798f8a · outbound

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Artificial neural network solver for Fokker-Planck and Koopman eigenfunctions Unresolved cited work

Reference 7

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Observation c6dd4711-2ec5-432e-8e2e-d44bef089a58 · outbound

This paper cites an unresolved cited work.

Artificial neural network solver for Fokker-Planck and Koopman eigenfunctions Unresolved cited work

Reference 8

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Observation ed54fa82-13b2-4cd9-b404-b7b47d8679d4 · outbound

This paper cites ˇCrnjari´c-ˇZic, S.

Artificial neural network solver for Fokker-Planck and Koopman eigenfunctions ˇCrnjari´c-ˇZic, S

Reference 9

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Observation 69b88272-782f-4cd5-b36b-0458b2fa0469 · outbound

This paper cites Cuomo, V.

Artificial neural network solver for Fokker-Planck and Koopman eigenfunctions Cuomo, V

Reference 10

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Observation 8fc51163-67ca-42a1-9733-5f95be0f37c5 · outbound

This paper cites An efficient data-driven solver for Fokker-Planck equations: algorithm and analysis.

Artificial neural network solver for Fokker-Planck and Koopman eigenfunctions An efficient data-driven solver for Fokker-Planck equations: algorithm and analysis

Reference 11

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Observation 49e86bf3-2603-4097-9c10-36c08b0fea91 · outbound

This paper cites Dobson, Y.

Artificial neural network solver for Fokker-Planck and Koopman eigenfunctions Dobson, Y

Reference 12

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

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Observation d017d2b0-c9cf-4faf-ab39-bd0a38d32f20 · outbound

This paper cites an unresolved cited work.

Artificial neural network solver for Fokker-Planck and Koopman eigenfunctions Unresolved cited work

Reference 13

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

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Observation a46c2845-1da8-4011-89c5-283c034c36b7 · outbound

This paper cites Stationary Density Estimation of It\^o Diffusions Using Deep Learning.

Artificial neural network solver for Fokker-Planck and Koopman eigenfunctions Stationary Density Estimation of It\^o Diffusions Using Deep Learning

Reference 14

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Observation 355480fb-8870-4b7f-96cc-4ff69460f335 · outbound

This paper cites Han and J.

Artificial neural network solver for Fokker-Planck and Koopman eigenfunctions Han and J

Reference 15

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Observation 0676b3b6-7180-494f-82aa-6131e8ded735 · outbound

This paper cites an unresolved cited work.

Artificial neural network solver for Fokker-Planck and Koopman eigenfunctions Unresolved cited work

Reference 16

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Observation c5fbe8b1-663e-44de-975b-983c099ce2d7 · outbound

This paper cites Heinlein, A.

Artificial neural network solver for Fokker-Planck and Koopman eigenfunctions Heinlein, A

Reference 17

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Observation d1b747f7-20ae-4ae4-b93d-3932937f6113 · outbound

This paper cites Generalized dynamical phase reduction for stochastic oscillators.

Artificial neural network solver for Fokker-Planck and Koopman eigenfunctions Generalized dynamical phase reduction for stochastic oscillators

Reference 18

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Observation c65678f6-83be-438e-9f69-1ceddf23e5e7 · outbound

This paper cites Hua and T.

Artificial neural network solver for Fokker-Planck and Koopman eigenfunctions Hua and T

Reference 19

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Observation d2d5e0a0-91fb-4132-8443-150074ae0259 · outbound

This paper cites Huang, M.

Artificial neural network solver for Fokker-Planck and Koopman eigenfunctions Huang, M

Reference 20

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Observation fbbaa14a-4af0-4765-b192-b67b685cef6f · outbound

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Artificial neural network solver for Fokker-Planck and Koopman eigenfunctions Unresolved cited work

Reference 21

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Observation c4403ad3-ba1f-4e04-9a74-0d6a36740e1b · outbound

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Artificial neural network solver for Fokker-Planck and Koopman eigenfunctions Unresolved cited work

Reference 22

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Observation 50b45068-5094-4c84-ab0f-ffcb8164deb0 · outbound

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Artificial neural network solver for Fokker-Planck and Koopman eigenfunctions Unresolved cited work

Reference 23

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Observation 9a814150-42b4-4032-a564-fff676d1bd8d · outbound

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Artificial neural network solver for Fokker-Planck and Koopman eigenfunctions Unresolved cited work

Reference 24

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

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Observation 389ceeb8-106b-45f3-9a0e-7150f9c810f7 · outbound

This paper cites Adam: A Method for Stochastic Optimization.

Artificial neural network solver for Fokker-Planck and Koopman eigenfunctions Adam: A Method for Stochastic Optimization

Reference 25

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Observation 86c8d53d-d89a-4023-a933-e5cb849a84f4 · outbound

This paper cites Korda and I.

Artificial neural network solver for Fokker-Planck and Koopman eigenfunctions Korda and I

Reference 26

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Observation 99327d01-ee49-4ec9-84a1-87d3f3aea6ce · outbound

This paper cites Korda and I.

Artificial neural network solver for Fokker-Planck and Koopman eigenfunctions Korda and I

Reference 27

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Observation 25fca51c-9f09-48b3-8af8-5e0ab8367799 · outbound

This paper cites Korda, M.

Artificial neural network solver for Fokker-Planck and Koopman eigenfunctions Korda, M

Reference 28

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

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Observation 037e7118-8a2f-4b70-bfc5-d1dd50850a57 · outbound

This paper cites $Q$-functions, synchronization, and Arnold tongues for coupled stochastic oscillators.

Artificial neural network solver for Fokker-Planck and Koopman eigenfunctions $Q$-functions, synchronization, and Arnold tongues for coupled stochastic oscillators

Reference 29

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Observation d5a7dcea-a639-4cee-a237-95415a74e2e0 · outbound

This paper cites Laroche, The use of the matrix pencil method for the spectrum analysis of musical signals, The Journal of the Acoustical Society of America, 94 (1993), pp.

Artificial neural network solver for Fokker-Planck and Koopman eigenfunctions Laroche, The use of the matrix pencil method for the spectrum analysis of musical signals, The Journal of the Acoustical Society of America, 94 (1993), pp

Reference 30

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

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Observation d32c1182-58d9-4709-8d33-2e23ea5bb9df · outbound

This paper cites A data-driven method for the steady state of randomly perturbed dynamics.

Artificial neural network solver for Fokker-Planck and Koopman eigenfunctions A data-driven method for the steady state of randomly perturbed dynamics

Reference 31

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local_arxiv, observed 2026-08-15T16:50:43.375457Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

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Observation 09ccf415-7c73-43db-a50c-b580c69d3cd2 · outbound

This paper cites Li and Y.

Artificial neural network solver for Fokker-Planck and Koopman eigenfunctions Li and Y

Reference 32

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation b4560fec-8218-4f3f-ab6d-1d32faaca0d8 · outbound

This paper cites an unresolved cited work.

Artificial neural network solver for Fokker-Planck and Koopman eigenfunctions Unresolved cited work

Reference 33

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

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Observation daaf687c-a98d-4cb6-a756-77454658164e · outbound

This paper cites Melland and R.

Artificial neural network solver for Fokker-Planck and Koopman eigenfunctions Melland and R

Reference 34

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

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Observation 555416b8-1aea-492a-9ca1-2235fd604f13 · outbound

This paper cites Mezi´c, Spectral properties of dynamical systems, model reduction and decompositions , Nonlinear Dy- namics, 41 (2005), pp.

Artificial neural network solver for Fokker-Planck and Koopman eigenfunctions Mezi´c, Spectral properties of dynamical systems, model reduction and decompositions , Nonlinear Dy- namics, 41 (2005), pp

Reference 35

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

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Observation 24888e6f-261c-4202-8699-878c0ee2b447 · outbound

This paper cites Mezi´c, Analysis of fluid flows via spectral properties of the koopman operator , Annual review of fluid mechanics, 45 (2013), pp.

Artificial neural network solver for Fokker-Planck and Koopman eigenfunctions Mezi´c, Analysis of fluid flows via spectral properties of the koopman operator , Annual review of fluid mechanics, 45 (2013), pp

Reference 36

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raw_fallback, observed 2026-08-15T16:50:43.716100Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T16:50:43.228735Z digest=sha256:5d010f06545be485623afa74151ebc94e3269d3f11f775a278aaf75203921281

Observation da401d81-5978-41d4-b51f-d5b926dbdd99 · outbound

This paper cites Mezi´c, On numerical approximations of the koopman operator , Mathematics, 10 (2022), p.

Artificial neural network solver for Fokker-Planck and Koopman eigenfunctions Mezi´c, On numerical approximations of the koopman operator , Mathematics, 10 (2022), p

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T16:50:43.705496Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T16:50:43.232656Z digest=sha256:8b5e634f71db204fb78f0f0c07405b33b6a8d307ccb95219e1b94cab6178dc92

Observation c6456684-1a93-47c2-ae30-5c8da5890205 · outbound

This paper cites an unresolved cited work.

Artificial neural network solver for Fokker-Planck and Koopman eigenfunctions Unresolved cited work

Reference 38

Resolution
unresolved
raw_fallback, observed 2026-08-15T16:50:43.695031Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T16:50:43.237021Z digest=sha256:c30a0824acec15f6f8dc6cb29ad8d7b961a9b02695c52dc12bb2183e242550bd

Observation 9c13fd86-28a5-4ee0-a185-29404e84a8f7 · outbound

This paper cites an unresolved cited work.

Artificial neural network solver for Fokker-Planck and Koopman eigenfunctions Unresolved cited work

Reference 39

Resolution
unresolved
raw_fallback, observed 2026-08-15T16:50:43.684012Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T16:50:43.241198Z digest=sha256:a9cb83e311410d18d82c878468d7e41bfec218c26c5926b58e29e6c13050478f

Observation 77dc0925-91eb-4aa3-8063-5018edb858a6 · outbound

This paper cites A Universal Description of Stochastic Oscillators.

Artificial neural network solver for Fokker-Planck and Koopman eigenfunctions A Universal Description of Stochastic Oscillators

Reference 40

Resolution
verified exact
local_arxiv, observed 2026-08-15T16:50:43.359429Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T16:50:43.244905Z digest=sha256:ae397d83e598363af24009bbee86c5a704bf73482fcc4333b25b9fe23a5286ba

Observation 6b310d54-741e-479c-ae91-16c1686d1cf5 · outbound

This paper cites P ´erez-Cervera, B.

Artificial neural network solver for Fokker-Planck and Koopman eigenfunctions P ´erez-Cervera, B

Reference 41

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T16:50:43.672569Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T16:50:43.248781Z digest=sha256:4d81f8aab2a9d83728f665d7f927597973646fbff11200b7639b2b574e4fe23f

Observation 94c052ec-1f66-4c3f-97fb-14d4fa1d1fd0 · outbound

This paper cites Raissi, P.

Artificial neural network solver for Fokker-Planck and Koopman eigenfunctions Raissi, P

Reference 42

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T16:50:43.660708Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T16:50:43.252298Z digest=sha256:b0d28251c08136612de14e2334fda4345d479a264b1e170105c42eab77ddb5e6

Observation 365506da-d073-4dcd-b7fa-06a4614c56d7 · outbound

This paper cites Risken and H.

Artificial neural network solver for Fokker-Planck and Koopman eigenfunctions Risken and H

Reference 43

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T16:50:43.649509Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T16:50:43.256313Z digest=sha256:b56d1ff49c9b0dd3d1f1ab64a4fb160a7fd59d87422ef9f8d2398672d69a498f

Observation 1ffbdae4-e8b2-45cb-b254-fa3116457954 · outbound

This paper cites an unresolved cited work.

Artificial neural network solver for Fokker-Planck and Koopman eigenfunctions Unresolved cited work

Reference 44

Resolution
unresolved
raw_fallback, observed 2026-08-15T16:50:43.637710Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T16:50:43.260134Z digest=sha256:76696edd8bcff6f17dea882121f4cb86d6234f074a621b1929714f8bf1338f3b

Observation c575ce3b-ce6f-4b3e-b391-b627fe7e88e5 · outbound

This paper cites an unresolved cited work.

Artificial neural network solver for Fokker-Planck and Koopman eigenfunctions Unresolved cited work

Reference 45

Resolution
unresolved
raw_fallback, observed 2026-08-15T16:50:43.624965Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T16:50:43.264420Z digest=sha256:5602e20c2e8d9cf0a2da2eb872239d28788cb41b2d30acec56f2a4d4358747b6

Observation df24ed86-ae74-4f8e-9979-ff7d786e15cd · outbound

This paper cites Sch¨atzle, J.

Artificial neural network solver for Fokker-Planck and Koopman eigenfunctions Sch¨atzle, J

Reference 46

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T16:50:43.613501Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T16:50:43.268733Z digest=sha256:74ea9336ac5c85e71e8b42a7185120f2fc70dd93a8fa6f3b3af654205ea9200f

Observation b2a7847c-f51b-46b9-a62b-9a0737473fbb · outbound

This paper cites an unresolved cited work.

Artificial neural network solver for Fokker-Planck and Koopman eigenfunctions Unresolved cited work

Reference 47

Resolution
unresolved
raw_fallback, observed 2026-08-15T16:50:43.603076Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T16:50:43.272632Z digest=sha256:73ec479146f557ee3bec81785393261cce546050bb3d38e6e25f77fa3f68129a

Observation d6bd85d4-f61e-49ae-bdc4-0ceb7586ca55 · outbound

This paper cites an unresolved cited work.

Artificial neural network solver for Fokker-Planck and Koopman eigenfunctions Unresolved cited work

Reference 48

Resolution
unresolved
raw_fallback, observed 2026-08-15T16:50:43.591539Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T16:50:43.276910Z digest=sha256:b1f340aed8747a3fae0a6dd7a64c377d8588742b153fe8de67ae90d88b3c6d61

Observation d2e4cb5d-691a-4ea5-ae1d-845ec9ac712b · outbound

This paper cites Sirignano and K.

Artificial neural network solver for Fokker-Planck and Koopman eigenfunctions Sirignano and K

Reference 49

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T16:50:43.580901Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T16:50:43.280274Z digest=sha256:02068144512e89fe151e4da6bcd99b83afbb8ac5c08956040c3ada169477a40c

Observation 03547bad-e76d-4e0b-8902-a6d81d49687e · outbound

This paper cites Takahashi, Y.

Artificial neural network solver for Fokker-Planck and Koopman eigenfunctions Takahashi, Y

Reference 50

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T16:50:43.569449Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T16:50:43.283579Z digest=sha256:1402f99aa8f09b059f581262e1f3ec1a57fd53a972bb9eb82fdf20ff0fb4e9da

Observation d3d067df-1d74-45d7-82b4-0a89797be21a · outbound

This paper cites an unresolved cited work.

Artificial neural network solver for Fokker-Planck and Koopman eigenfunctions Unresolved cited work

Reference 51

Resolution
unresolved
raw_fallback, observed 2026-08-15T16:50:43.557401Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T16:50:43.286703Z digest=sha256:bf3acde385a5cbea8ae4bded7582328b2d0075d1d33be326683c6fa3e35d906f

Observation 8e0658e7-15a4-45ff-8e5d-f2529d3ddf83 · outbound

This paper cites an unresolved cited work.

Artificial neural network solver for Fokker-Planck and Koopman eigenfunctions Unresolved cited work

Reference 52

Resolution
unresolved
raw_fallback, observed 2026-08-15T16:50:43.545615Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T16:50:43.290086Z digest=sha256:247dbc3164521bc175b52529db27303e1e012bc9cd2adf98cdb42d7b39596d36

Observation c8e36b42-64f6-4f0f-b66e-a0cb083729d7 · outbound

This paper cites Tsuchida, Control variate method for deep bsde solver using weak approximation , Asia-Pacific Finan- cial Markets, 30 (2023), pp.

Artificial neural network solver for Fokker-Planck and Koopman eigenfunctions Tsuchida, Control variate method for deep bsde solver using weak approximation , Asia-Pacific Finan- cial Markets, 30 (2023), pp

Reference 53

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T16:50:43.533246Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T16:50:43.293426Z digest=sha256:9595efc6432885082e4bcf534b5a0b03967e261856d7ac21165c27478514dde4

Observation 90168c2b-e40f-48e8-b4cb-b531012a3d01 · outbound

This paper cites Weinan, J.

Artificial neural network solver for Fokker-Planck and Koopman eigenfunctions Weinan, J

Reference 54

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T16:50:43.521448Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T16:50:43.296457Z digest=sha256:80d384c9010a7a43b186f4bfd3cedb92f69fe9a4025d59e7aeedcb1052504044

Observation f55b64d2-3b7e-40ce-94ef-1f73ad4d8500 · outbound

This paper cites an unresolved cited work.

Artificial neural network solver for Fokker-Planck and Koopman eigenfunctions Unresolved cited work

Reference 55

Resolution
unresolved
raw_fallback, observed 2026-08-15T16:50:43.509436Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T16:50:43.300587Z digest=sha256:3d42e07f729113f9cee20bccfbf9c38524b9eb470977d7660d83cb87311c8948

Observation 25ea5f50-3970-40b9-bd90-e888af0213b7 · outbound

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

Artificial neural network solver for Fokker-Planck and Koopman eigenfunctions A Data-Driven Framework for Koopman Semigroup Estimation in Stochastic Dynamical Systems

Reference 56

Resolution
unresolved
no resolver link, observed 2026-08-15T16:50:43.303751Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T16:50:43.303751Z digest=sha256:3d1e7449f8763cba24d85c1cc624c5dd8418a2c11fcc8a38afba08347dea1aca

Observation 58baec05-84a6-44ab-b583-4f43813d85da · outbound

This paper cites an unresolved cited work.

Artificial neural network solver for Fokker-Planck and Koopman eigenfunctions Unresolved cited work

Reference 57

Resolution
unresolved
raw_fallback, observed 2026-08-15T16:50:43.496937Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T16:50:43.307440Z digest=sha256:e28bac7f4e61dda4f8df1094df7a105422a2db17f57e0732c5310c1dd30cf87d

Observation 8369ce25-1fdc-4895-94da-efdb0fe6eb60 · outbound

This paper cites Zhao and L.

Artificial neural network solver for Fokker-Planck and Koopman eigenfunctions Zhao and L

Reference 58

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T16:50:43.485384Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T16:50:43.311167Z digest=sha256:3ec69daacde7d07872f56e733673aef5041b0e7ccca543b4dfc2573ee05661ed

Pith citing papers

Observation 127c7162-524a-4898-b3bf-73e574c0385f · inbound

Reinforcement-Learning-Guided Data-Driven Estimation of Spectral Properties of Stochastic Koopman Semigroups cites this paper.

Reinforcement-Learning-Guided Data-Driven Estimation of Spectral Properties of Stochastic Koopman Semigroups Artificial neural network solver for Fokker-Planck and Koopman eigenfunctions

Reference 21

Resolution
verified exact
local_arxiv, observed 2026-08-05T10:20:42.612809Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-05T10:20:42.389239Z digest=sha256:615c809f75e15c6ef618598787b3d79eaa309af9ded3ce3b358790f3a682080c

Observation 10ba2764-a81c-4d1c-86e1-71c60438e593 · inbound

Robust topological oscillators govern a tunable phase transition to synchronized circadian rhythms cites this paper.

Robust topological oscillators govern a tunable phase transition to synchronized circadian rhythms Artificial neural network solver for Fokker-Planck and Koopman eigenfunctions

Reference 24

Resolution
unresolved
no resolver link, observed 2026-08-02T05:34:46.137618Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T05:34:46.137618Z digest=sha256:6897f10bfb23b3eb0b5cd41324c4b45274a75e453c5facd1ab7c62edfb9824a5