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Paper Citation Record · LEDGER

Integrating Fourier Neural Operator with Diffusion Model for Autoregressive Predictions of Three-dimensional Turbulence

As of 23 August 2026, this Paper Citation Record lists 90 of 90 outbound references and 4 inbound Pith citation observations for arXiv:2512.12628.

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

pith.paper-citation-record.v1
2512.12628 v3

Coverage vector

measured 90 of 90 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-03T16:37:41.084020Z

measured 94 of 94 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-22T06:32:14.747728+00:00

measured 4 of 4 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-08T00:16:45.608568Z

measured 1 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-08-05T02:28:24.338817Z

Reference resolution

90 of 90 outbound references displayed

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  • verified fuzzy0
  • unresolved90
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  • malformed identifier0
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External citation measurements

0
arxiv_reference, observed 2026-08-05T02:28:24.338817Z

Outbound references

Observation f67435ab-0f03-40c0-8c9c-2428a4731de3 · outbound

This paper cites an unresolved cited work.

Integrating Fourier Neural Operator with Diffusion Model for Autoregressive Predictions of Three-dimensional Turbulence Unresolved cited work

Reference 1

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Observation 74147795-3358-422e-8b6b-7dce39d19aa6 · outbound

This paper cites an unresolved cited work.

Integrating Fourier Neural Operator with Diffusion Model for Autoregressive Predictions of Three-dimensional Turbulence Unresolved cited work

Reference 2

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source=pdf_text observed=2026-08-03T16:37:31.870621Z digest=sha256:bfe71de2785282c5dcc65cb9c0fd8e816287d80bfeadf772eaf3ccd681fafc79

Observation 00e510b5-431f-47a5-9a0d-3689d98f8baf · outbound

This paper cites Ishihara, T.

Integrating Fourier Neural Operator with Diffusion Model for Autoregressive Predictions of Three-dimensional Turbulence Ishihara, T

Reference 3

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source=pdf_text observed=2026-08-03T16:37:31.981724Z digest=sha256:fbfc172fd2b001921cfd14d22a611cf87135a4b10c49082ecffbbb12ada5203d

Observation ae8082ba-bf42-4372-96c6-b812beb169f9 · outbound

This paper cites Meneveau, J.

Integrating Fourier Neural Operator with Diffusion Model for Autoregressive Predictions of Three-dimensional Turbulence Meneveau, J

Reference 4

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source=pdf_text observed=2026-08-03T16:37:32.125172Z digest=sha256:79dd21c091c4a0e3aa5fe4b030367cc59141eb50811c61736483e2a36c201d0e

Observation 9bc3850e-3e21-4dfe-804e-48b05b69aba7 · outbound

This paper cites Motegi, Y.

Integrating Fourier Neural Operator with Diffusion Model for Autoregressive Predictions of Three-dimensional Turbulence Motegi, Y

Reference 5

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source=pdf_text observed=2026-08-03T16:37:32.236101Z digest=sha256:57d6abba6a9d0a3a0e00102d9baf8497275ed06a1e342f74a9db09aa656188b8

Observation 5145f69e-060a-4301-8210-0a91d6134f06 · outbound

This paper cites Songyue, L.

Integrating Fourier Neural Operator with Diffusion Model for Autoregressive Predictions of Three-dimensional Turbulence Songyue, L

Reference 6

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source=pdf_text observed=2026-08-03T16:37:32.406359Z digest=sha256:4a996e05177a617b85dba1a4405c4c0add674326b8a78b0537e6835edb21767d

Observation a72e83f5-fa86-46ac-a9ee-0e6c00ace42e · outbound

This paper cites Duraisamy, G.

Integrating Fourier Neural Operator with Diffusion Model for Autoregressive Predictions of Three-dimensional Turbulence Duraisamy, G

Reference 7

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source=pdf_text observed=2026-08-03T16:37:32.545004Z digest=sha256:b4e0584766fbccb26ff2354ad4746091f661bcec7eed899e8c3b7d9e93ebd5a4

Observation fb8c87aa-2915-49ab-994b-ca9b876ccd94 · outbound

This paper cites an unresolved cited work.

Integrating Fourier Neural Operator with Diffusion Model for Autoregressive Predictions of Three-dimensional Turbulence Unresolved cited work

Reference 8

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source=pdf_text observed=2026-08-03T16:37:32.695635Z digest=sha256:6c4c936f4653255cb84e40307fc51f3eb8b7c48abb51f0ee9608cbb33282e08f

Observation ab3f6f64-b019-41bc-b4e7-45e2a71c1f17 · outbound

This paper cites Raissi, P.

Integrating Fourier Neural Operator with Diffusion Model for Autoregressive Predictions of Three-dimensional Turbulence Raissi, P

Reference 9

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Observation 8e202974-9c59-4ebe-8b2c-b253253fe659 · outbound

This paper cites an unresolved cited work.

Integrating Fourier Neural Operator with Diffusion Model for Autoregressive Predictions of Three-dimensional Turbulence Unresolved cited work

Reference 10

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Observation b66bfece-9660-453f-ace2-2635d5be152c · outbound

This paper cites an unresolved cited work.

Integrating Fourier Neural Operator with Diffusion Model for Autoregressive Predictions of Three-dimensional Turbulence Unresolved cited work

Reference 11

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source=pdf_text observed=2026-08-03T16:37:33.097627Z digest=sha256:611e53c28b35a2b333fb6aa2bc3a9ea2fcc69a750cf7ca0ee30bd33a614e6e38

Observation 02e73d6d-7e4c-4aa4-afd3-9db7b2aab583 · outbound

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

Integrating Fourier Neural Operator with Diffusion Model for Autoregressive Predictions of Three-dimensional Turbulence Fourier Neural Operator for Parametric Partial Differential Equations

Reference 12

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Observation 0ecfb801-283b-4545-9ed8-d81c70abf2dd · outbound

This paper cites an unresolved cited work.

Integrating Fourier Neural Operator with Diffusion Model for Autoregressive Predictions of Three-dimensional Turbulence Unresolved cited work

Reference 13

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Observation bd8ceb20-4c72-497e-a62f-ad5fa14c1a8b · outbound

This paper cites an unresolved cited work.

Integrating Fourier Neural Operator with Diffusion Model for Autoregressive Predictions of Three-dimensional Turbulence Unresolved cited work

Reference 14

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Observation 5106a49b-cabe-42cb-af48-8c45b1a6d790 · outbound

This paper cites an unresolved cited work.

Integrating Fourier Neural Operator with Diffusion Model for Autoregressive Predictions of Three-dimensional Turbulence Unresolved cited work

Reference 15

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Observation 66854fe0-abac-4c42-b69a-36518f8d3de6 · outbound

This paper cites an unresolved cited work.

Integrating Fourier Neural Operator with Diffusion Model for Autoregressive Predictions of Three-dimensional Turbulence Unresolved cited work

Reference 16

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Observation 0fc44b01-ef9a-4a50-b008-220e4843d34a · outbound

This paper cites an unresolved cited work.

Integrating Fourier Neural Operator with Diffusion Model for Autoregressive Predictions of Three-dimensional Turbulence Unresolved cited work

Reference 17

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source=pdf_text observed=2026-08-03T16:37:33.851112Z digest=sha256:aa121dd96cfa354d296267d25d89178a209bd5105ab95f88645e16e0fe32fe36

Observation 6076f906-2f29-4317-9a67-bab4680f5579 · outbound

This paper cites Adaptive Fourier Neural Operators: Efficient Token Mixers for Transformers.

Integrating Fourier Neural Operator with Diffusion Model for Autoregressive Predictions of Three-dimensional Turbulence Adaptive Fourier Neural Operators: Efficient Token Mixers for Transformers

Reference 18

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Observation d244e015-9015-4353-b2b6-b0d2a3e94ae6 · outbound

This paper cites Jiang, Z.

Integrating Fourier Neural Operator with Diffusion Model for Autoregressive Predictions of Three-dimensional Turbulence Jiang, Z

Reference 19

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Observation 920fb6e1-7b1d-4578-968b-14549afdbd85 · outbound

This paper cites Vaswani, Attention is all you need, Advances in Neural Information Processing Systems (2017).

Integrating Fourier Neural Operator with Diffusion Model for Autoregressive Predictions of Three-dimensional Turbulence Vaswani, Attention is all you need, Advances in Neural Information Processing Systems (2017)

Reference 20

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Observation 6dc7a76c-47a6-49af-b80c-1faeabcf74ac · outbound

This paper cites Chattopadhyay, M.

Integrating Fourier Neural Operator with Diffusion Model for Autoregressive Predictions of Three-dimensional Turbulence Chattopadhyay, M

Reference 21

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Observation ec5258e7-c08d-49e6-aff9-01ddd39e10a8 · outbound

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

Integrating Fourier Neural Operator with Diffusion Model for Autoregressive Predictions of Three-dimensional Turbulence Transformer for Partial Differential Equations' Operator Learning

Reference 22

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Observation bcec1ed9-b7bd-4b64-84d1-9f4bebe117bd · outbound

This paper cites TNT: Vision Transformer for Turbulence Simulations.

Integrating Fourier Neural Operator with Diffusion Model for Autoregressive Predictions of Three-dimensional Turbulence TNT: Vision Transformer for Turbulence Simulations

Reference 23

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Observation 7b1a761a-5098-4f99-a79e-1f565161a3c7 · outbound

This paper cites an unresolved cited work.

Integrating Fourier Neural Operator with Diffusion Model for Autoregressive Predictions of Three-dimensional Turbulence Unresolved cited work

Reference 24

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Observation 00924aa6-da79-45a6-8a09-b2c92d56edb5 · outbound

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Integrating Fourier Neural Operator with Diffusion Model for Autoregressive Predictions of Three-dimensional Turbulence Unresolved cited work

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Observation ed8917d7-229e-4fb1-9f59-f7f7ad47240e · outbound

This paper cites Cao, Choose a Transformer: Fourier or Galerkin, Advances in neural information processing systems 34 (2021) 24924–24940.

Integrating Fourier Neural Operator with Diffusion Model for Autoregressive Predictions of Three-dimensional Turbulence Cao, Choose a Transformer: Fourier or Galerkin, Advances in neural information processing systems 34 (2021) 24924–24940

Reference 26

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Observation c194ac7f-e339-4207-88b2-43d4917b386f · outbound

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Integrating Fourier Neural Operator with Diffusion Model for Autoregressive Predictions of Three-dimensional Turbulence Unresolved cited work

Reference 27

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Observation aec79f75-1477-41e5-96ba-5c5cddd1c566 · outbound

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Integrating Fourier Neural Operator with Diffusion Model for Autoregressive Predictions of Three-dimensional Turbulence Unresolved cited work

Reference 28

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Observation b3e6e27c-76da-488d-92b2-af664531ef94 · outbound

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Integrating Fourier Neural Operator with Diffusion Model for Autoregressive Predictions of Three-dimensional Turbulence Unresolved cited work

Reference 29

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Observation 11160a32-1dcb-4b93-95da-c0ba03204e17 · outbound

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Integrating Fourier Neural Operator with Diffusion Model for Autoregressive Predictions of Three-dimensional Turbulence Unresolved cited work

Reference 30

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Observation 3230e749-381b-4228-be46-c24c2aba84ff · outbound

This paper cites an unresolved cited work.

Integrating Fourier Neural Operator with Diffusion Model for Autoregressive Predictions of Three-dimensional Turbulence Unresolved cited work

Reference 31

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Observation 7975ed9f-c724-4d5d-b378-da5c44d0de08 · outbound

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Integrating Fourier Neural Operator with Diffusion Model for Autoregressive Predictions of Three-dimensional Turbulence Unresolved cited work

Reference 32

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Observation 280f8ec1-48f1-4fd3-b9f2-2bb7865084a2 · outbound

This paper cites Score-Based Generative Modeling through Stochastic Differential Equations.

Integrating Fourier Neural Operator with Diffusion Model for Autoregressive Predictions of Three-dimensional Turbulence Score-Based Generative Modeling through Stochastic Differential Equations

Reference 33

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Observation 59b650fb-d3bc-484d-9543-0b8ba30395f5 · outbound

This paper cites Karras, M.

Integrating Fourier Neural Operator with Diffusion Model for Autoregressive Predictions of Three-dimensional Turbulence Karras, M

Reference 34

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Observation 27648fa9-1980-4b22-942f-45c10ba0560d · outbound

This paper cites an unresolved cited work.

Integrating Fourier Neural Operator with Diffusion Model for Autoregressive Predictions of Three-dimensional Turbulence Unresolved cited work

Reference 35

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Observation cde63acd-1b98-443c-8e73-59fe97ce5eb0 · outbound

This paper cites an unresolved cited work.

Integrating Fourier Neural Operator with Diffusion Model for Autoregressive Predictions of Three-dimensional Turbulence Unresolved cited work

Reference 36

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Observation 5258cb0f-0f67-46ac-878f-f3dcfc5b8dd1 · outbound

This paper cites Sardar, A.

Integrating Fourier Neural Operator with Diffusion Model for Autoregressive Predictions of Three-dimensional Turbulence Sardar, A

Reference 37

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Observation 5607f314-f5f8-491f-9f6f-fc8efc5cde55 · outbound

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Integrating Fourier Neural Operator with Diffusion Model for Autoregressive Predictions of Three-dimensional Turbulence Unresolved cited work

Reference 38

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Observation 9f698315-bac9-4235-8d6d-09d25e3e3848 · outbound

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Integrating Fourier Neural Operator with Diffusion Model for Autoregressive Predictions of Three-dimensional Turbulence Unresolved cited work

Reference 39

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Observation f5bff3a9-b91a-4b8d-926e-ac638c3e5ff8 · outbound

This paper cites an unresolved cited work.

Integrating Fourier Neural Operator with Diffusion Model for Autoregressive Predictions of Three-dimensional Turbulence Unresolved cited work

Reference 40

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source=pdf_text observed=2026-08-03T16:37:36.615008Z digest=sha256:fbb481e5c773ad8fdfff83ba0eeef1b6e6c81850ebee7aefd5d504dbaa86f27f

Observation fe20713d-f607-42ae-bb37-8f1e4ff4c93f · outbound

This paper cites an unresolved cited work.

Integrating Fourier Neural Operator with Diffusion Model for Autoregressive Predictions of Three-dimensional Turbulence Unresolved cited work

Reference 41

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source=pdf_text observed=2026-08-03T16:37:36.779462Z digest=sha256:2dbae8e886215a5588cdd95be8adf8b18cd570633996dc32213358d42837acaa

Observation af2fd6ef-7b9a-4dd8-8706-672debe470c8 · outbound

This paper cites an unresolved cited work.

Integrating Fourier Neural Operator with Diffusion Model for Autoregressive Predictions of Three-dimensional Turbulence Unresolved cited work

Reference 42

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source=pdf_text observed=2026-08-03T16:37:36.947400Z digest=sha256:5c5db529983fde7d6d9dd636ef5ad5cf1a75de57c5976ccb92cd009e9e68daf1

Observation 7ad8c08b-b9ad-4204-939a-e364aceb4c87 · outbound

This paper cites an unresolved cited work.

Integrating Fourier Neural Operator with Diffusion Model for Autoregressive Predictions of Three-dimensional Turbulence Unresolved cited work

Reference 43

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source=pdf_text observed=2026-08-03T16:37:37.116242Z digest=sha256:5e3bce6af598efa21cc3715dfc21e07bd6815c12d10e2ca0d5601bf13c807529

Observation 4cadc9e6-afb2-4122-9a4d-d26bc97d02fb · outbound

This paper cites an unresolved cited work.

Integrating Fourier Neural Operator with Diffusion Model for Autoregressive Predictions of Three-dimensional Turbulence Unresolved cited work

Reference 44

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source=pdf_text observed=2026-08-03T16:37:37.230898Z digest=sha256:e901a9392ff561d65357de8310a248179d1c00850d64a455390192cbedb95bf1

Observation 2604ea93-e4c3-407d-af90-764259f86064 · outbound

This paper cites an unresolved cited work.

Integrating Fourier Neural Operator with Diffusion Model for Autoregressive Predictions of Three-dimensional Turbulence Unresolved cited work

Reference 45

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source=pdf_text observed=2026-08-03T16:37:37.478193Z digest=sha256:081b14ff334ba956d844bad5d8efa8a4931f6cf398a8076511dd64453739fd6c

Observation 480350d6-7873-42a3-a9b6-91335de1fe32 · outbound

This paper cites From Zero to Turbulence: Generative Modeling for 3D Flow Simulation.

Integrating Fourier Neural Operator with Diffusion Model for Autoregressive Predictions of Three-dimensional Turbulence From Zero to Turbulence: Generative Modeling for 3D Flow Simulation

Reference 46

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source=pdf_text observed=2026-08-03T16:37:37.654784Z digest=sha256:5fc60d9bc3a82060dcf9d43ae0c4b2cf238ef81e1140b03772878e2fd97f844c

Observation 31189dcf-8269-4fe4-913c-521966ca4a7b · outbound

This paper cites Whittaker, R.

Integrating Fourier Neural Operator with Diffusion Model for Autoregressive Predictions of Three-dimensional Turbulence Whittaker, R

Reference 47

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source=pdf_text observed=2026-08-03T16:37:37.830553Z digest=sha256:e2151d1939b74f5422fba9959775fb435b893e0770310649375a14690566c415

Observation 365e0d5e-1bf4-4ff4-81b1-7640cbbd7b6d · outbound

This paper cites an unresolved cited work.

Integrating Fourier Neural Operator with Diffusion Model for Autoregressive Predictions of Three-dimensional Turbulence Unresolved cited work

Reference 48

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source=pdf_text observed=2026-08-03T16:37:37.968178Z digest=sha256:2038bd460ebecfa282694da8a03e82f31fb0a12a26165d0ee8bacc3ae638de5f

Observation c4ecc788-9690-478c-921e-e8913a737c19 · outbound

This paper cites Benchmarking Autoregressive Conditional Diffusion Models for Turbulent Flow Simulation.

Integrating Fourier Neural Operator with Diffusion Model for Autoregressive Predictions of Three-dimensional Turbulence Benchmarking Autoregressive Conditional Diffusion Models for Turbulent Flow Simulation

Reference 49

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source=pdf_text observed=2026-08-03T16:37:38.033403Z digest=sha256:d65817bebb732210d7c398aed6614b036f7d8bf0a776474ef009c0f0eed3aecc

Observation 5373cca5-0fa1-4565-8131-7a3c5a11824e · outbound

This paper cites Tahmasebi, G.

Integrating Fourier Neural Operator with Diffusion Model for Autoregressive Predictions of Three-dimensional Turbulence Tahmasebi, G

Reference 50

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source=pdf_text observed=2026-08-03T16:37:38.115973Z digest=sha256:1660540b9d5d6b9b23606bf6c88ba4064d8e34b2334a7d4cfd0c72402738c456

Observation e93a3542-bb09-4576-a392-bf3d74e8101c · outbound

This paper cites Sambamurthy, A.

Integrating Fourier Neural Operator with Diffusion Model for Autoregressive Predictions of Three-dimensional Turbulence Sambamurthy, A

Reference 51

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source=pdf_text observed=2026-08-03T16:37:38.176208Z digest=sha256:6986b6db8a6119e67db061d7013d8913351da89fd7175a1b428ab97a8c7e35fb

Observation 51d4203a-c587-43fb-a6e0-294942b75c3a · outbound

This paper cites Physics-aware generative models for turbulent fluid flows through energy-consistent stochastic interpolants.

Integrating Fourier Neural Operator with Diffusion Model for Autoregressive Predictions of Three-dimensional Turbulence Physics-aware generative models for turbulent fluid flows through energy-consistent stochastic interpolants

Reference 52

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source=pdf_text observed=2026-08-03T16:37:38.255074Z digest=sha256:6568a8779e606842ad31bd06d5bd46aa189381418466f2804ca353088dd96876

Observation a54fa5c9-fb38-4bc1-b481-583a7729ed72 · outbound

This paper cites an unresolved cited work.

Integrating Fourier Neural Operator with Diffusion Model for Autoregressive Predictions of Three-dimensional Turbulence Unresolved cited work

Reference 53

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source=pdf_text observed=2026-08-03T16:37:38.314548Z digest=sha256:50d6eeba503fa144a0540f8a5b12785912a82ecf7dbb2f05169bbb53a01d7915

Observation 3a2ae7b8-427f-4815-a9cb-ad705066287f · outbound

This paper cites an unresolved cited work.

Integrating Fourier Neural Operator with Diffusion Model for Autoregressive Predictions of Three-dimensional Turbulence Unresolved cited work

Reference 54

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source=pdf_text observed=2026-08-03T16:37:38.396294Z digest=sha256:a728f76c845be7aeca2b45931c669b93cfc72ab112b1d7623d2dd86514af61a3

Observation 70d3a3d6-e673-4799-b89f-b38aba2666fb · outbound

This paper cites Oommen, A.

Integrating Fourier Neural Operator with Diffusion Model for Autoregressive Predictions of Three-dimensional Turbulence Oommen, A

Reference 55

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source=pdf_text observed=2026-08-03T16:37:38.480625Z digest=sha256:96a39f99c04d38cac678a5ff8514f7400c29d019d07e8e8931dc029367e5d852

Observation 842f77e0-b46e-4c96-91e2-8e6f3a80fc4c · outbound

This paper cites Smagorinsky, General circulation experiments with the primitive equations: I.

Integrating Fourier Neural Operator with Diffusion Model for Autoregressive Predictions of Three-dimensional Turbulence Smagorinsky, General circulation experiments with the primitive equations: I

Reference 56

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source=pdf_text observed=2026-08-03T16:37:38.564588Z digest=sha256:b2f94ef4e01706f0461c0312ec8f9d50e010ba466bdb9368a5f21f4808bdfbbf

Observation 31f00c9e-1ca5-46e1-a6f8-3b1c2d5fddd8 · outbound

This paper cites an unresolved cited work.

Integrating Fourier Neural Operator with Diffusion Model for Autoregressive Predictions of Three-dimensional Turbulence Unresolved cited work

Reference 57

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source=pdf_text observed=2026-08-03T16:37:38.627170Z digest=sha256:96f7ff57a7ae6ba7b6b22ce9c682a1962fa399f06a132d0183c9f1150ca85f9f

Observation 2c3b46d3-91d9-49fb-9b94-94d682d44e8f · outbound

This paper cites Germano, Turbulence: the filtering approach, Journal of Fluid Mechanics 238 (1992) 325–336.

Integrating Fourier Neural Operator with Diffusion Model for Autoregressive Predictions of Three-dimensional Turbulence Germano, Turbulence: the filtering approach, Journal of Fluid Mechanics 238 (1992) 325–336

Reference 58

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source=pdf_text observed=2026-08-03T16:37:38.629746Z digest=sha256:f19061a2d29870b3ee651af9085adc23a904724c6963bb7f3fbf37ffac080965

Observation 09f02e69-dc13-4583-be02-1889ed50a2d7 · outbound

This paper cites Lesieur, O.

Integrating Fourier Neural Operator with Diffusion Model for Autoregressive Predictions of Three-dimensional Turbulence Lesieur, O

Reference 59

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source=pdf_text observed=2026-08-03T16:37:38.636298Z digest=sha256:37507cc482f463527c0b84e87acb70dc83d426fd26a7734efe8158039d1a4241

Observation cc8c6368-a560-4195-ab47-37d909acfe74 · outbound

This paper cites Meneveau, J.

Integrating Fourier Neural Operator with Diffusion Model for Autoregressive Predictions of Three-dimensional Turbulence Meneveau, J

Reference 60

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source=pdf_text observed=2026-08-03T16:37:38.695117Z digest=sha256:4be2aa5dcbf224544b6e9d46a72dcc23135943e379a8718c321e124a9602b96f

Observation cd0721ce-5518-4da6-a4c0-d5f2c33849fe · outbound

This paper cites Lilly, A proposed modification of the Germano sugrid-scale closure method, Physics of Fluids A 4 (1992) 633–635.

Integrating Fourier Neural Operator with Diffusion Model for Autoregressive Predictions of Three-dimensional Turbulence Lilly, A proposed modification of the Germano sugrid-scale closure method, Physics of Fluids A 4 (1992) 633–635

Reference 61

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source=pdf_text observed=2026-08-03T16:37:38.801601Z digest=sha256:7304736dd45d1213eed965977e30eab5e6aa462d89410e3e0f3eac6c3b266a69

Observation ee13fec6-3b9a-4d82-9e95-3c6e05585350 · outbound

This paper cites an unresolved cited work.

Integrating Fourier Neural Operator with Diffusion Model for Autoregressive Predictions of Three-dimensional Turbulence Unresolved cited work

Reference 62

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source=pdf_text observed=2026-08-03T16:37:38.928321Z digest=sha256:025ca3c422e535e46cfc50bef2bdad0003e0b1b0da87de9f72dbfedb21b22c3c

Observation f043bb1b-785c-4dff-b4d5-c257efbcdacf · outbound

This paper cites Flow Matching for Generative Modeling.

Integrating Fourier Neural Operator with Diffusion Model for Autoregressive Predictions of Three-dimensional Turbulence Flow Matching for Generative Modeling

Reference 63

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source=pdf_text observed=2026-08-03T16:37:39.037195Z digest=sha256:7af87ecb8a61182dbc3ca7e3c5b54ebf751273b4dce36b254a7e914e8073f2d7

Observation 2f2dc899-fa9d-4c48-ba89-844af45abf31 · outbound

This paper cites an unresolved cited work.

Integrating Fourier Neural Operator with Diffusion Model for Autoregressive Predictions of Three-dimensional Turbulence Unresolved cited work

Reference 64

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source=pdf_text observed=2026-08-03T16:37:39.139739Z digest=sha256:764738cbc68fdab2266374cdaa87e4083e978e0bb3ef739225b4d710b5e558c7

Observation d87efc44-ccf8-4836-9275-58030be74927 · outbound

This paper cites an unresolved cited work.

Integrating Fourier Neural Operator with Diffusion Model for Autoregressive Predictions of Three-dimensional Turbulence Unresolved cited work

Reference 65

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source=pdf_text observed=2026-08-03T16:37:39.194701Z digest=sha256:29679f4bdc25f86f385aa527013c37bba5ec87933b50f3dd9ddf5ef2452dbdb8

Observation 0b53b2a0-697f-4614-b232-64491a1b2461 · outbound

This paper cites an unresolved cited work.

Integrating Fourier Neural Operator with Diffusion Model for Autoregressive Predictions of Three-dimensional Turbulence Unresolved cited work

Reference 66

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source=pdf_text observed=2026-08-03T16:37:39.253047Z digest=sha256:170b97fa046b2d8483425528b1fb42485ec4d099c055320650d99a3f1d0cd02d

Observation 7e8ab10c-9f63-4623-b1c8-0b15603b417e · outbound

This paper cites an unresolved cited work.

Integrating Fourier Neural Operator with Diffusion Model for Autoregressive Predictions of Three-dimensional Turbulence Unresolved cited work

Reference 67

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source=pdf_text observed=2026-08-03T16:37:39.336495Z digest=sha256:69a373d1b5b9bcf0fc2888aed3b840ab5fa47c76e1475d0a9712aa6997e1893d

Observation 4943249d-c754-4516-978a-4e0b95f4dd57 · outbound

This paper cites an unresolved cited work.

Integrating Fourier Neural Operator with Diffusion Model for Autoregressive Predictions of Three-dimensional Turbulence Unresolved cited work

Reference 68

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source=pdf_text observed=2026-08-03T16:37:39.424841Z digest=sha256:7a359dfd3b74d93894fb939a0933eb3a8c7e2c7fb86b9bd3adcf0680d5004025

Observation 957f05da-5977-4160-947d-dc76391ee411 · outbound

This paper cites an unresolved cited work.

Integrating Fourier Neural Operator with Diffusion Model for Autoregressive Predictions of Three-dimensional Turbulence Unresolved cited work

Reference 69

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source=pdf_text observed=2026-08-03T16:37:39.516040Z digest=sha256:2b29f02c5c9d2610d477cdfa0e90e119b048e99720b8132262ad38ae37b7a18c

Observation 54dbca6b-cee0-48bb-a5f6-ed5581d19122 · outbound

This paper cites Munters, C.

Integrating Fourier Neural Operator with Diffusion Model for Autoregressive Predictions of Three-dimensional Turbulence Munters, C

Reference 70

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source=pdf_text observed=2026-08-03T16:37:39.631858Z digest=sha256:4dc4ac11a39d4a468fd9ab5a6a48d42cb25ae2bbd8a2ed018d3fa94898ca3f39

Observation c413dc28-20b7-482f-aa33-5f7b25ea497b · outbound

This paper cites an unresolved cited work.

Integrating Fourier Neural Operator with Diffusion Model for Autoregressive Predictions of Three-dimensional Turbulence Unresolved cited work

Reference 71

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source=pdf_text observed=2026-08-03T16:37:39.751181Z digest=sha256:3c24acf8fd8b7b813156bd3a9e53976f91fd1830cd5d543d0dead1ed5ca3b0b2

Observation e31dbb6e-5f6d-4d51-8234-1b22edbd2db0 · outbound

This paper cites Laizet, E.

Integrating Fourier Neural Operator with Diffusion Model for Autoregressive Predictions of Three-dimensional Turbulence Laizet, E

Reference 72

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source=pdf_text observed=2026-08-03T16:37:39.864921Z digest=sha256:3245794a240e4dbca3f89e9cb0175e02935534d45ef57044d2db7402e0d5e13c

Observation e6262f86-883a-43fa-b4d7-6983e80bf61a · outbound

This paper cites Bartholomew, G.

Integrating Fourier Neural Operator with Diffusion Model for Autoregressive Predictions of Three-dimensional Turbulence Bartholomew, G

Reference 73

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source=pdf_text observed=2026-08-03T16:37:39.927756Z digest=sha256:b8f190c5e47688044feb24c7096d5860cef8691c900858b70a1a6ecd64a5d509

Observation 23440c31-0d37-48d6-8634-e45e80078fc9 · outbound

This paper cites an unresolved cited work.

Integrating Fourier Neural Operator with Diffusion Model for Autoregressive Predictions of Three-dimensional Turbulence Unresolved cited work

Reference 74

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source=pdf_text observed=2026-08-03T16:37:39.999706Z digest=sha256:29e3db9283ef12009f6b4b1ea2e1ab64543095047b647a814687f526a5f891ac

Observation fe0e33db-9711-43ca-8f03-9a6da3de29c0 · outbound

This paper cites an unresolved cited work.

Integrating Fourier Neural Operator with Diffusion Model for Autoregressive Predictions of Three-dimensional Turbulence Unresolved cited work

Reference 75

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source=pdf_text observed=2026-08-03T16:37:40.050856Z digest=sha256:41164197b53b7f1974bb8ae0e5d74b31a0be367c0a15334f8e500f6b2758bbac

Observation c0f9791b-9d67-4055-bb93-54e69277e916 · outbound

This paper cites an unresolved cited work.

Integrating Fourier Neural Operator with Diffusion Model for Autoregressive Predictions of Three-dimensional Turbulence Unresolved cited work

Reference 76

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source=pdf_text observed=2026-08-03T16:37:40.137547Z digest=sha256:946bd64b119f853781e1e7b149fb1d9376f15bc73cee2f134ee02749b06246a8

Observation f26ef40b-6744-4ae9-9659-21a5b97ad859 · outbound

This paper cites an unresolved cited work.

Integrating Fourier Neural Operator with Diffusion Model for Autoregressive Predictions of Three-dimensional Turbulence Unresolved cited work

Reference 77

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source=pdf_text observed=2026-08-03T16:37:40.220035Z digest=sha256:ecb0b9ee8a66c2cbab33e6f306f627cead424f012ac3b8634a691c1edc9ff57b

Observation 243f753f-b83b-4e99-b0fd-445ad04cdc05 · outbound

This paper cites an unresolved cited work.

Integrating Fourier Neural Operator with Diffusion Model for Autoregressive Predictions of Three-dimensional Turbulence Unresolved cited work

Reference 78

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source=pdf_text observed=2026-08-03T16:37:40.278021Z digest=sha256:394571e74c7d9e7b36db860e210dc72f0852a343a297f5c96da75bd007955559

Observation d94ccc38-89a0-449b-bec2-a3d72f8d37fb · outbound

This paper cites an unresolved cited work.

Integrating Fourier Neural Operator with Diffusion Model for Autoregressive Predictions of Three-dimensional Turbulence Unresolved cited work

Reference 79

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source=pdf_text observed=2026-08-03T16:37:40.330277Z digest=sha256:27e9dcda233f9a0941f419ef6d39484c9da963c0207c739e863dd641fb338267

Observation 23beacf9-fa85-4fb4-93b7-f2b8f951449a · outbound

This paper cites Zanardi, S.

Integrating Fourier Neural Operator with Diffusion Model for Autoregressive Predictions of Three-dimensional Turbulence Zanardi, S

Reference 80

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This paper cites Lorsung, Z.

Integrating Fourier Neural Operator with Diffusion Model for Autoregressive Predictions of Three-dimensional Turbulence Lorsung, Z

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Observation ecdea05b-c48b-4f08-a647-0b6184923c4a · outbound

This paper cites PINNsFormer: A Transformer-Based Framework For Physics-Informed Neural Networks.

Integrating Fourier Neural Operator with Diffusion Model for Autoregressive Predictions of Three-dimensional Turbulence PINNsFormer: A Transformer-Based Framework For Physics-Informed Neural Networks

Reference 82

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Observation aadad655-aa67-49a1-9415-866568fb7f75 · outbound

This paper cites Physics-Informed Diffusion Models for Unsupervised Anomaly Detection in Multivariate Time Series.

Integrating Fourier Neural Operator with Diffusion Model for Autoregressive Predictions of Three-dimensional Turbulence Physics-Informed Diffusion Models for Unsupervised Anomaly Detection in Multivariate Time Series

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Observation 29301a2b-e7a6-4fc3-bbef-071fcd31f1ce · outbound

This paper cites an unresolved cited work.

Integrating Fourier Neural Operator with Diffusion Model for Autoregressive Predictions of Three-dimensional Turbulence Unresolved cited work

Reference 84

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Observation 17e76c91-565b-41df-a36a-547c48e35810 · outbound

This paper cites an unresolved cited work.

Integrating Fourier Neural Operator with Diffusion Model for Autoregressive Predictions of Three-dimensional Turbulence Unresolved cited work

Reference 85

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Observation 3d624941-595b-4634-8f17-8f59f3be554b · outbound

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

Integrating Fourier Neural Operator with Diffusion Model for Autoregressive Predictions of Three-dimensional Turbulence Transolver: A Fast Transformer Solver for PDEs on General Geometries

Reference 86

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This paper cites Kovachki, Z.

Integrating Fourier Neural Operator with Diffusion Model for Autoregressive Predictions of Three-dimensional Turbulence Kovachki, Z

Reference 87

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Observation 63f123ce-f9f6-48b0-8db0-dfe905ca6d02 · outbound

This paper cites Transformer Dissection: A Unified Understanding of Transformer's Attention via the Lens of Kernel.

Integrating Fourier Neural Operator with Diffusion Model for Autoregressive Predictions of Three-dimensional Turbulence Transformer Dissection: A Unified Understanding of Transformer's Attention via the Lens of Kernel

Reference 88

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Observation f7b02b74-40c0-4f39-ae83-734462548471 · outbound

This paper cites Neural Operator: Graph Kernel Network for Partial Differential Equations.

Integrating Fourier Neural Operator with Diffusion Model for Autoregressive Predictions of Three-dimensional Turbulence Neural Operator: Graph Kernel Network for Partial Differential Equations

Reference 89

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Observation 8f379aac-76b6-47cc-bf6d-04cedc2b9435 · outbound

This paper cites Tibshirani, Regression Shrinkage and Selection via the Lasso, Journal of the Royal Statistical Society Series B: Statistical Methodology 58 (1) (1996) 267–288.

Integrating Fourier Neural Operator with Diffusion Model for Autoregressive Predictions of Three-dimensional Turbulence Tibshirani, Regression Shrinkage and Selection via the Lasso, Journal of the Royal Statistical Society Series B: Statistical Methodology 58 (1) (1996) 267–288

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Pith citing papers

Observation fbeb2cd8-9c0b-4c3e-97ae-ef83aa467844 · inbound

SGNO: Spectral Generator Neural Operators for Stable Long Horizon PDE Rollouts cites this paper.

SGNO: Spectral Generator Neural Operators for Stable Long Horizon PDE Rollouts Integrating Fourier Neural Operator with Diffusion Model for Autoregressive Predictions of Three-dimensional Turbulence

Reference 2

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Observation 135eb8df-38b5-4f32-83d2-73f20021c5bf · inbound

SGNO: Spectral Generator Neural Operators for Stable Long Horizon PDE Rollouts cites this paper.

SGNO: Spectral Generator Neural Operators for Stable Long Horizon PDE Rollouts Integrating Fourier Neural Operator with Diffusion Model for Autoregressive Predictions of Three-dimensional Turbulence

Reference 3

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Observation cf3d0691-b544-4c95-9855-aa2f67d1b90b · inbound

Predictivity and Utility of Neural Surrogates of Multiscale PDEs cites this paper.

Predictivity and Utility of Neural Surrogates of Multiscale PDEs Integrating Fourier Neural Operator with Diffusion Model for Autoregressive Predictions of Three-dimensional Turbulence

Reference 21

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Observation bd1ed194-45a1-4526-bc4e-1d9efc924d77 · inbound

TIDE: A Physically Diverse 3D Turbulence Benchmark Dataset for Advancing Scientific Machine Learning cites this paper.

TIDE: A Physically Diverse 3D Turbulence Benchmark Dataset for Advancing Scientific Machine Learning Integrating Fourier Neural Operator with Diffusion Model for Autoregressive Predictions of Three-dimensional Turbulence

Reference 22

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