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Paper Citation Record · LEDGER

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

As of 9 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 2026-08-09T06:31:02.800959+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

  • verified exact0
  • verified fuzzy0
  • unresolved90
  • parse uncertain0
  • 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=sha256:0c7c9ffb3aec562b65df15d59ba1091f7dffbd35d12e29afe36a26d31054fb16

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:adf868a9bc56869309a2ab242920e6765f4b469d55e00488ef10d2af2048d409

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:f6e58edfbafc5fc2f71232d6d2b2eeeb62bb7c78b6ddb531aa63361bf0ed75e2

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=sha256:4478fcca774af42cf8d99bdbe02708af6e0a814b523811a036747f6362c7e0b8

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=sha256:265fa397a3f25c974dfb8771414323a90a88627a126d8529097f6c9b504155bc

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=sha256:61d9f9d205582a4ae4553f0edb301540b180127ceec70dc6693be410089f3a62

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:f175ce94a5f458d41a806049495ed192fe7aa047a6a6e2f9d277b7f0a7acd2f9

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:ea661a8b2ec39b18d62543be5341b4700400c6c45c67773b9667022ecce18d9f

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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source=pdf_text observed=2026-08-03T16:37:33.741997Z digest=sha256:b271f202ef82c6a044f25aa7fe9789dea7a06b096d1cba93771ef05277892b0d

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=sha256:4579e5f8d1a9caf394563d3172380f86686e33cae73921c188434ff6ebc2c35a

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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source=pdf_text observed=2026-08-03T16:37:34.087389Z digest=sha256:fdadec1ed119fd69243de34a606c92a21558b43208b723f1aa67a061bfcab75c

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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source=pdf_text observed=2026-08-03T16:37:34.341516Z digest=sha256:bb08ead26e484b08bf15f1aa1ba28b38e491c6bd1f075d53dfd0bdfe6dd4ae6e

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

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 25

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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

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 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

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 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

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 32

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source=pdf_text observed=2026-08-03T16:37:35.551325Z digest=sha256:7ee28efaba9b63c906a1bb202b413c1d68151af283979ee614f561e450c2ee06

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

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 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=sha256:8dcd8a9c124469b42379dfdf7ead9749d6a530a2de1213e84b2df29cecf0c3cf

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=sha256:91a7fa688598c7e13337fe8b9ce57199c6a583c36d6484f943d80d9c0cbeef34

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=sha256:0d5d68f71796bbb03f0f537bdc888aa815f56da3e632d4b61931edb31e10f75f

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=sha256:0c3e9f5f3baa4a0ef0536858fb161a434f088597706984b4f664e9e05c0c01ff

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:fbcaffe31790934b17aae32163d785383540e40fe308c97b332af48fe944ce18

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:f2389deaa02cb597a9f9521e287843bebf5d156340e21a45a48e6c906ea02612

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:cfb66247e20b79a68df621d28c7ae61fb1ffce6233d3b51cb960e641a820136b

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=sha256:23c0b49f3b269bda0f660c51503e035d914f2a6f822c7cc994c17cff54bfc7dc

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=sha256:5e849d66325cc04cf28744db3d48876071876860179dba9dda1b27b42529b1ea

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=sha256:07340b9713b3cd36eef3e3977ee45b8c765ddf2b054625eaf7be35d81d8f92b6

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:e9042f1c096b5ead485c04c601eedc410fe1cc5e094c8592e20efb659e8d4615

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=sha256:51abe428cc40d40466f56ce321e65da68c5d600db9a39946d2277faba2907807

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:a7a2243bcb2f2fd679bf6bb34bb048f9c8c15baea944d0afa57202e43cdfb1f6

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:e45183b23202cdea886926c33241a7f5851c9da9d316175b50f06e1878870a16

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=sha256:5fc260790fb4c7f0244e8413f7016c8608275d21a1f4772a6f50a071e3cdc320

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=sha256:4fe4146f2e20572cb0ce74503ab7fe720bd4e2dcf91923f70f247d7d79de280e

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

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source=pdf_text observed=2026-08-03T16:37:38.564588Z digest=sha256:4431f6827e0fcc9e94148da9b1e9dd7b6dd55135113746b4c5a734f7e13cc679

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=sha256:72c2ed0b10c66250205c6375b1666ca6b664a5819ae167556ebbaf581a127768

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:fc730e69b59b2ed7de7b59f7ae46debb8fa10afdeeaf7a9d50ed5ca85b67816b

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:a08db5b6475b8fe279078e3b760ff6c296ab08d6e90352975d6ee2e70daeab2a

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=sha256:022500c893269a0019b32d0f2b4d80266fafe3bce3e08fe87ac8d90a75a201df

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=sha256:7c4b33691a1d460f5ef584b4d0c1413271a26d8737d184e712d67b283f91d3d1

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:ee3e6e3556e1ec1d475a32b2d8b4dd827fee0b71bf71e6a5251a217d8dffce2e

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=sha256:57b4ca21cad8baed5f6b5fca08b4dc292e72b3b65b8458d78e5b423a4b663fa4

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=sha256:524750064347c77dcc077a6eeb8cc09b13da4067bfde43b2ed769629992ee3d6

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=sha256:3a7fb28ce62a165b40c265776f0e104bec776c142ef9dc819502bb74a7267aa9

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=sha256:9c53f0c98ba968c8f3bbf017df327b471c52851b74aa341cb1bdf65def341cde

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:aed94337f05bd315c44e5c1d45b000951e02a1bde94acb649c1f15cb0e75a255

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=sha256:22aa4def5d42a9524e776e0d3f872d037dde713a074b60ee656ca0a07f152b1f

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:a5bc19f44c74b3bfa14d7c65adcca8f9c7ce2f38c653f01581603c05698c2ada

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=sha256:9aea2e6e94308b7ff15a3cf143c372f5e23986c92a604fced29925a419763f50

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=sha256:42d6ff794ed215811b419cca47e66429c706de901b0071696abe5a1ad4c5177c

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:ceb9111954690b93b5714335d917f9cc6e6d99fa0cf80ace75de61b99a37f211

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=sha256:54ddb3b74086ef1e3b69b55a8c28349c5314bf167857663ee9b2ff0e74ccd263

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=sha256:6f2e841a8372367f4f2c01c7127fa59efc8c7132e3128868f8ccd113a606ab46

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=sha256:5bfb0e1ef5fc60874de8e75e7d945e08fcac3ff5a8004ed5e8e65ddd7e626c09

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=sha256:2b511d49b3df39dd93654f2cfda0545f52e05ec82ecd319bed5a6b665faa5ab1

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=sha256:00e62d2a0436c6f11b73361c9dad5317ded71a132adb671083f7870f5353b2e9

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=sha256:301b2feefe0d65ae770d8405a2c839e956e50433c1a1a472a4ab2024f3da8e51

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=sha256:41b3daeb59c16c4fdb4beb6697486497a923015e4f64b8947c954cbcf186e64c

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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Observation 002f4ad6-0448-4ed4-b077-8d7428161586 · outbound

This paper cites Lorsung, Z.

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

Reference 81

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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

Reference 83

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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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Observation 8182537c-4e68-4ff0-8afd-c06512209c5b · outbound

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

Reference 90

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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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arxiv_id, observed 2026-07-13T02:17:15.977128Z

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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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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