Paper Citation Record · LEDGER

Learning High-dimensional Ionic Model Dynamics Using Fourier Neural Operators

As of 8 August 2026, this Paper Citation Record lists 31 of 31 outbound references and 0 inbound Pith citation observations for arXiv:2505.14039.

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

pith.paper-citation-record.v1
2505.14039 v1

Coverage vector

measured 31 of 31 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T15:42:56.041531Z

measured 31 of 31 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

31 of 31 outbound references displayed

verified exact2
verified fuzzy8
unresolved21
parse uncertain0
malformed identifier0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 4ec3fff8-a30d-4003-a43a-3f7e994a8f73 · outbound

This paper cites Neural operators for accelerating scientific simulations and design, Nature Reviews Physics 6, no.

Learning High-dimensional Ionic Model Dynamics Using Fourier Neural Operators Neural operators for accelerating scientific simulations and design, Nature Reviews Physics 6, no

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:43:01.813631Z

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.

Observation aa6b59b4-90ab-410a-96ef-643c10fd853a · outbound

This paper cites an unresolved cited work.

Learning High-dimensional Ionic Model Dynamics Using Fourier Neural Operators Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-08-07T15:43:01.607951Z

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.

Observation 30108fcb-5b8c-4806-b90b-1ad94f83feae · outbound

This paper cites an unresolved cited work.

Learning High-dimensional Ionic Model Dynamics Using Fourier Neural Operators Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-08-07T15:43:01.352501Z

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.

Observation aba8aca0-6891-4c10-89f8-9800b2f7df6c · outbound

This paper cites Kovachki, Matthew E.

Learning High-dimensional Ionic Model Dynamics Using Fourier Neural Operators Kovachki, Matthew E

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-07T15:42:53.336678Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6adcaa1f-691c-46e2-9e8b-73d23ee7f2ef · outbound

This paper cites Six decades of the FitzHugh-Nagumo model: A guide through its spatio-temporal dynamics and influence across disciplines.

Learning High-dimensional Ionic Model Dynamics Using Fourier Neural Operators Six decades of the FitzHugh-Nagumo model: A guide through its spatio-temporal dynamics and influence across disciplines

Reference 5

Resolution: verified exact; local_arxiv, observed 2026-08-07T15:42:56.539710Z

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.

Observation f4ec5225-dacf-4337-986a-a9e7a8329274 · outbound

This paper cites Pavarino,Learning the Hodgkin–Huxley model with operator learning techniques, Computer Methods in Applied Mechanics and Engineering, volume 432, page 117381, 2024.

Learning High-dimensional Ionic Model Dynamics Using Fourier Neural Operators Pavarino,Learning the Hodgkin–Huxley model with operator learning techniques, Computer Methods in Applied Mechanics and Engineering, volume 432, page 117381, 2024

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:43:01.132212Z

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.

Observation 9d157a1e-a384-4b0f-85c4-91a29d9a424b · outbound

This paper cites an unresolved cited work.

Learning High-dimensional Ionic Model Dynamics Using Fourier Neural Operators Unresolved cited work

Reference 7

Resolution: unresolved; raw_fallback, observed 2026-08-07T15:43:00.914161Z

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.

Observation 5a6c154c-a9c4-4ec7-9052-b6aa53cd9088 · outbound

This paper cites an unresolved cited work.

Learning High-dimensional Ionic Model Dynamics Using Fourier Neural Operators Unresolved cited work

Reference 8

Resolution: unresolved; raw_fallback, observed 2026-08-07T15:43:00.756337Z

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.

Observation 9ed71f07-d0eb-4e70-a392-b1b897da61c4 · outbound

This paper cites an unresolved cited work.

Learning High-dimensional Ionic Model Dynamics Using Fourier Neural Operators Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-08-07T15:43:00.537832Z

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.

Observation e7b57c36-6ce5-4a16-944f-866af7ed584c · outbound

This paper cites Franzone, Luca F.

Learning High-dimensional Ionic Model Dynamics Using Fourier Neural Operators Franzone, Luca F

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:43:00.419124Z

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.

Observation 2f230394-57b9-475a-853f-6efb6c65427b · outbound

This paper cites an unresolved cited work.

Learning High-dimensional Ionic Model Dynamics Using Fourier Neural Operators Unresolved cited work

Reference 11

Resolution: verified exact; raw_fallback, observed 2026-08-07T15:42:56.397765Z

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.

Observation 595525d4-a880-43cb-991c-3dd4d221a0a8 · outbound

This paper cites Karniadakis,Physics-informed deep neural operator networks, Machine Learning in Modeling and Simulation: Methods and Applications, 219–254, 2023.

Learning High-dimensional Ionic Model Dynamics Using Fourier Neural Operators Karniadakis,Physics-informed deep neural operator networks, Machine Learning in Modeling and Simulation: Methods and Applications, 219–254, 2023

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:43:00.117837Z

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.

Observation 6c735cdf-f4a2-4af4-a141-4fa8ba84c81d · outbound

This paper cites Hodgkin, Andrew F.

Learning High-dimensional Ionic Model Dynamics Using Fourier Neural Operators Hodgkin, Andrew F

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:42:59.865644Z

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.

Observation 45697fc5-06bc-4a16-989a-f8d93ee4f3ec · outbound

This paper cites Izhikevich,Dynamical Systems in Neuroscience, MIT press, 2007.

Learning High-dimensional Ionic Model Dynamics Using Fourier Neural Operators Izhikevich,Dynamical Systems in Neuroscience, MIT press, 2007

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:42:59.680966Z

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.

Observation 8e99c6de-15ef-49b6-aaed-78e2206f4a84 · outbound

This paper cites an unresolved cited work.

Learning High-dimensional Ionic Model Dynamics Using Fourier Neural Operators Unresolved cited work

Reference 15

Resolution: unresolved; raw_fallback, observed 2026-08-07T15:42:59.426423Z

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.

Observation 6e5fc2b6-15f5-40ea-ba30-dfacb3c24dc0 · outbound

This paper cites an unresolved cited work.

Learning High-dimensional Ionic Model Dynamics Using Fourier Neural Operators Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-08-07T15:42:59.055973Z

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.

Observation e418bf8a-9cc3-4136-8bbf-aea85f64fd0f · outbound

This paper cites Nonlocality and Nonlinearity Implies Universality in Operator Learning.

Learning High-dimensional Ionic Model Dynamics Using Fourier Neural Operators Nonlocality and Nonlinearity Implies Universality in Operator Learning

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-07T15:42:54.740163Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 20263dd8-5446-4bcc-a0c8-fa516ea7c170 · outbound

This paper cites an unresolved cited work.

Learning High-dimensional Ionic Model Dynamics Using Fourier Neural Operators Unresolved cited work

Reference 18

Resolution: unresolved; raw_fallback, observed 2026-08-07T15:42:58.783929Z

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.

Observation 9a4d1f8e-115b-487a-a970-86c2ed023a40 · outbound

This paper cites Transformer for Partial Differential Equations' Operator Learning.

Learning High-dimensional Ionic Model Dynamics Using Fourier Neural Operators Transformer for Partial Differential Equations' Operator Learning

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-07T15:42:54.944738Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 912d0b65-ba24-40ab-8c42-a6072e729448 · outbound

This paper cites Fourier Neural Operator for Parametric Partial Differential Equations.

Learning High-dimensional Ionic Model Dynamics Using Fourier Neural Operators Fourier Neural Operator for Parametric Partial Differential Equations

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-07T15:42:55.049306Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3954ef6c-e13e-4ac1-8020-1ce40874a2ec · outbound

This paper cites Tune: A Research Platform for Distributed Model Selection and Training.

Learning High-dimensional Ionic Model Dynamics Using Fourier Neural Operators Tune: A Research Platform for Distributed Model Selection and Training

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-07T15:42:55.118216Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0855d862-40d3-4fba-9026-05a2ba01520a · outbound

This paper cites Decoupled Weight Decay Regularization.

Learning High-dimensional Ionic Model Dynamics Using Fourier Neural Operators Decoupled Weight Decay Regularization

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-07T15:42:55.253277Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4ae14fe2-3fb5-456d-91cc-e7c7d3899dc6 · outbound

This paper cites Karniadakis,Learning nonlinear operators via DeepONet based on the universal approximation theorem of operators, Nature Machine Intelligence, 3, 3, 218–229, 2021.

Learning High-dimensional Ionic Model Dynamics Using Fourier Neural Operators Karniadakis,Learning nonlinear operators via DeepONet based on the universal approximation theorem of operators, Nature Machine Intelligence, 3, 3, 218–229, 2021

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:42:58.567597Z

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.

Observation 0c483c20-6b9c-4a12-9057-858bc4d2056d · outbound

This paper cites an unresolved cited work.

Learning High-dimensional Ionic Model Dynamics Using Fourier Neural Operators Unresolved cited work

Reference 24

Resolution: unresolved; raw_fallback, observed 2026-08-07T15:42:58.189257Z

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.

Observation 52bf5165-66e9-4bfe-a869-b02d66554e07 · outbound

This paper cites an unresolved cited work.

Learning High-dimensional Ionic Model Dynamics Using Fourier Neural Operators Unresolved cited work

Reference 25

Resolution: unresolved; raw_fallback, observed 2026-08-07T15:42:57.935428Z

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.

Observation f46912d2-cce2-4bef-bf36-bab17b5b5baf · outbound

This paper cites an unresolved cited work.

Learning High-dimensional Ionic Model Dynamics Using Fourier Neural Operators Unresolved cited work

Reference 26

Resolution: unresolved; raw_fallback, observed 2026-08-07T15:42:57.677151Z

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.

Observation 362946b0-5ff8-47f7-8995-6bef5ec8aba1 · outbound

This paper cites an unresolved cited work.

Learning High-dimensional Ionic Model Dynamics Using Fourier Neural Operators Unresolved cited work

Reference 27

Resolution: unresolved; raw_fallback, observed 2026-08-07T15:42:57.396871Z

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.

Observation c026c34c-47de-4546-b203-0d10f535d592 · outbound

This paper cites Shampine, Mark W.

Learning High-dimensional Ionic Model Dynamics Using Fourier Neural Operators Shampine, Mark W

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:42:57.136699Z

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.

Observation 3e64a4e8-f5c6-4cae-a926-ed0a1ad4cc31 · outbound

This paper cites an unresolved cited work.

Learning High-dimensional Ionic Model Dynamics Using Fourier Neural Operators Unresolved cited work

Reference 29

Resolution: unresolved; raw_fallback, observed 2026-08-07T15:42:56.891795Z

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.

Observation f1d8656c-60e7-4635-9a7a-70c87ac1f877 · outbound

This paper cites an unresolved cited work.

Learning High-dimensional Ionic Model Dynamics Using Fourier Neural Operators Unresolved cited work

Reference 30

Resolution: unresolved; raw_fallback, observed 2026-08-07T15:42:56.732742Z

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.

Observation 726dd1d4-68ea-42a4-b611-c2a09d412014 · outbound

This paper cites Transolver: A Fast Transformer Solver for PDEs on General Geometries.

Learning High-dimensional Ionic Model Dynamics Using Fourier Neural Operators Transolver: A Fast Transformer Solver for PDEs on General Geometries

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-07T15:42:56.041531Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.