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Paper Citation Record · LEDGER

Label-Free Finite-Volume-Residual Training of Attention Graph Neural Networks for Coupled Thermo-Fluid Fields

As of 8 August 2026, this Paper Citation Record lists 60 of 60 outbound references and 0 inbound Pith citation observations for arXiv:2607.20321.

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pith.paper-citation-record.v1
2607.20321 v2

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measured 60 of 60 reference resolution

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60 of 60 outbound references displayed

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Outbound references

Observation b4e80307-754a-41dc-b8c2-9663b021875f · outbound

This paper cites & Wong, H.

Label-Free Finite-Volume-Residual Training of Attention Graph Neural Networks for Coupled Thermo-Fluid Fields & Wong, H

Reference 1

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Observation 5fbb718e-9cc0-4627-9a3b-ecc827684812 · outbound

This paper cites & Koomey, J.

Label-Free Finite-Volume-Residual Training of Attention Graph Neural Networks for Coupled Thermo-Fluid Fields & Koomey, J

Reference 2

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Observation ad7c361d-4204-4542-b0d9-1b1b84d1670b · outbound

This paper cites R., Cruz, E.

Label-Free Finite-Volume-Residual Training of Attention Graph Neural Networks for Coupled Thermo-Fluid Fields R., Cruz, E

Reference 3

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Label-Free Finite-Volume-Residual Training of Attention Graph Neural Networks for Coupled Thermo-Fluid Fields Unresolved cited work

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Observation 768b314d-510c-4c18-8627-6618e47fbec1 · outbound

This paper cites an unresolved cited work.

Label-Free Finite-Volume-Residual Training of Attention Graph Neural Networks for Coupled Thermo-Fluid Fields Unresolved cited work

Reference 5

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Observation 4583567e-a74d-4af1-a49d-ccd563129f05 · outbound

This paper cites URL https://arxiv.org/abs/2511.11722.

Label-Free Finite-Volume-Residual Training of Attention Graph Neural Networks for Coupled Thermo-Fluid Fields URL https://arxiv.org/abs/2511.11722

Reference 6

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Observation 6cfd327e-b93d-4336-bc99-1da3141798c2 · outbound

This paper cites & Wen, Y.

Label-Free Finite-Volume-Residual Training of Attention Graph Neural Networks for Coupled Thermo-Fluid Fields & Wen, Y

Reference 7

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Observation 5f938c3f-1aed-4bb2-b799-d628a97b286b · outbound

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

Label-Free Finite-Volume-Residual Training of Attention Graph Neural Networks for Coupled Thermo-Fluid Fields Fourier Neural Operator for Parametric Partial Differential Equations

Reference 8

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Observation 26915a62-16b9-489b-bdab-ba975f90fa77 · outbound

This paper cites Geometry-Informed Neural Operator for Large-Scale 3D PDEs.

Label-Free Finite-Volume-Residual Training of Attention Graph Neural Networks for Coupled Thermo-Fluid Fields Geometry-Informed Neural Operator for Large-Scale 3D PDEs

Reference 9

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Observation c2e95ac8-95d5-410e-a323-3d425d2be509 · outbound

This paper cites & Karniadakis, G.

Label-Free Finite-Volume-Residual Training of Attention Graph Neural Networks for Coupled Thermo-Fluid Fields & Karniadakis, G

Reference 10

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This paper cites & Iorio, F.

Label-Free Finite-Volume-Residual Training of Attention Graph Neural Networks for Coupled Thermo-Fluid Fields & Iorio, F

Reference 11

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Observation 12aca905-e9ba-4437-9c02-8328eb3ca100 · outbound

This paper cites & Kempf, A.

Label-Free Finite-Volume-Residual Training of Attention Graph Neural Networks for Coupled Thermo-Fluid Fields & Kempf, A

Reference 12

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Observation 887037d4-de63-43b0-be72-3d16e77833b4 · outbound

This paper cites & Xiao, H.

Label-Free Finite-Volume-Residual Training of Attention Graph Neural Networks for Coupled Thermo-Fluid Fields & Xiao, H

Reference 13

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Observation 74429b51-0385-46fd-afb7-21f7376d1204 · outbound

This paper cites Learning to Simulate Complex Physics with Graph Networks.

Label-Free Finite-Volume-Residual Training of Attention Graph Neural Networks for Coupled Thermo-Fluid Fields Learning to Simulate Complex Physics with Graph Networks

Reference 14

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This paper cites & Karniadakis, G.

Label-Free Finite-Volume-Residual Training of Attention Graph Neural Networks for Coupled Thermo-Fluid Fields & Karniadakis, G

Reference 15

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This paper cites & Karniadakis, G.

Label-Free Finite-Volume-Residual Training of Attention Graph Neural Networks for Coupled Thermo-Fluid Fields & Karniadakis, G

Reference 16

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Observation 3b5c200d-9314-4efb-a6d6-def51ad05f51 · outbound

This paper cites Separable DeepONet: Breaking the Curse of Dimensionality in Physics-Informed Machine Learning.

Label-Free Finite-Volume-Residual Training of Attention Graph Neural Networks for Coupled Thermo-Fluid Fields Separable DeepONet: Breaking the Curse of Dimensionality in Physics-Informed Machine Learning

Reference 17

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Observation 08655316-99b2-4e3b-8e20-ccebf7a5bafa · outbound

This paper cites & Hong, L.

Label-Free Finite-Volume-Residual Training of Attention Graph Neural Networks for Coupled Thermo-Fluid Fields & Hong, L

Reference 18

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Observation fde978b0-4e7c-4b1f-a61d-b2a674a404e0 · outbound

This paper cites E.et al.Physics-informed machine learning.Nature Reviews Physics3, 422–440 (2021).

Label-Free Finite-Volume-Residual Training of Attention Graph Neural Networks for Coupled Thermo-Fluid Fields E.et al.Physics-informed machine learning.Nature Reviews Physics3, 422–440 (2021)

Reference 19

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Label-Free Finite-Volume-Residual Training of Attention Graph Neural Networks for Coupled Thermo-Fluid Fields & Perdikaris, P

Reference 20

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Label-Free Finite-Volume-Residual Training of Attention Graph Neural Networks for Coupled Thermo-Fluid Fields & Zhang, W

Reference 21

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This paper cites D., Chen, D.

Label-Free Finite-Volume-Residual Training of Attention Graph Neural Networks for Coupled Thermo-Fluid Fields D., Chen, D

Reference 22

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Label-Free Finite-Volume-Residual Training of Attention Graph Neural Networks for Coupled Thermo-Fluid Fields & Darwish, M.The Finite Volume Method in Compu- tational Fluid Dynamics: An Advanced Introduction with OpenFOAM and Matlab (Springer, 2016)

Reference 23

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Label-Free Finite-Volume-Residual Training of Attention Graph Neural Networks for Coupled Thermo-Fluid Fields Unresolved cited work

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Label-Free Finite-Volume-Residual Training of Attention Graph Neural Networks for Coupled Thermo-Fluid Fields Unresolved cited work

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This paper cites Learning Mesh-Based Simulation with Graph Networks.

Label-Free Finite-Volume-Residual Training of Attention Graph Neural Networks for Coupled Thermo-Fluid Fields Learning Mesh-Based Simulation with Graph Networks

Reference 26

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This paper cites Message Passing Neural PDE Solvers.

Label-Free Finite-Volume-Residual Training of Attention Graph Neural Networks for Coupled Thermo-Fluid Fields Message Passing Neural PDE Solvers

Reference 27

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This paper cites L., Noack, B.

Label-Free Finite-Volume-Residual Training of Attention Graph Neural Networks for Coupled Thermo-Fluid Fields L., Noack, B

Reference 28

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This paper cites On the Bottleneck of Graph Neural Networks and its Practical Implications.

Label-Free Finite-Volume-Residual Training of Attention Graph Neural Networks for Coupled Thermo-Fluid Fields On the Bottleneck of Graph Neural Networks and its Practical Implications

Reference 29

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This paper cites Finite Volume Neural Network: Modeling Subsurface Contaminant Transport.

Label-Free Finite-Volume-Residual Training of Attention Graph Neural Networks for Coupled Thermo-Fluid Fields Finite Volume Neural Network: Modeling Subsurface Contaminant Transport

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Label-Free Finite-Volume-Residual Training of Attention Graph Neural Networks for Coupled Thermo-Fluid Fields Unresolved cited work

Reference 31

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This paper cites Solver-in-the-Loop: Learning from Differentiable Physics to Interact with Iterative PDE-Solvers.

Label-Free Finite-Volume-Residual Training of Attention Graph Neural Networks for Coupled Thermo-Fluid Fields Solver-in-the-Loop: Learning from Differentiable Physics to Interact with Iterative PDE-Solvers

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This paper cites Proceedings of the National Academy of Sciences118, e2101784118 (2021).

Label-Free Finite-Volume-Residual Training of Attention Graph Neural Networks for Coupled Thermo-Fluid Fields Proceedings of the National Academy of Sciences118, e2101784118 (2021)

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This paper cites & Wang, J.-X.

Label-Free Finite-Volume-Residual Training of Attention Graph Neural Networks for Coupled Thermo-Fluid Fields & Wang, J.-X

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Label-Free Finite-Volume-Residual Training of Attention Graph Neural Networks for Coupled Thermo-Fluid Fields & Koumoutsakos, P

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This paper cites APEBench: A Benchmark for Autoregressive Neural Emulators of PDEs.

Label-Free Finite-Volume-Residual Training of Attention Graph Neural Networks for Coupled Thermo-Fluid Fields APEBench: A Benchmark for Autoregressive Neural Emulators of PDEs

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Observation 42b9822b-d7e3-4466-b6c3-dba5ed241235 · outbound

This paper cites Natural convection of air in a square cavity: a bench mark numerical solution.International Journal for Numerical Methods in Fluids3, 249–264 (1983).

Label-Free Finite-Volume-Residual Training of Attention Graph Neural Networks for Coupled Thermo-Fluid Fields Natural convection of air in a square cavity: a bench mark numerical solution.International Journal for Numerical Methods in Fluids3, 249–264 (1983)

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source=pdf_text observed=2026-08-01T10:13:41.404351Z digest=sha256:cbfea5a2e8efa866dbe24b4cb2d3147e3852c0a3ac95fc03cedec94be3531617

Observation 33c7cdce-96cb-43ba-b960-fd7e1dfeca01 · outbound

This paper cites PDE-Refiner: Achieving Accurate Long Rollouts with Neural PDE Solvers.

Label-Free Finite-Volume-Residual Training of Attention Graph Neural Networks for Coupled Thermo-Fluid Fields PDE-Refiner: Achieving Accurate Long Rollouts with Neural PDE Solvers

Reference 38

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source=pdf_text observed=2026-08-01T10:13:41.463768Z digest=sha256:9ce1b06abf7434977f1b4c8463afc894491492b61a84a733a8f1e8195a22665c

Observation b45f93de-e02a-46ab-bd4f-0548366c05aa · outbound

This paper cites an unresolved cited work.

Label-Free Finite-Volume-Residual Training of Attention Graph Neural Networks for Coupled Thermo-Fluid Fields Unresolved cited work

Reference 39

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source=pdf_text observed=2026-08-01T10:13:41.549251Z digest=sha256:68dc0947b4837f4deadd1cde7d2941e52ea50f9c7b5b2f68909ca8b6e929e254

Observation 32958acb-c82b-4824-926a-cecf9e01036f · outbound

This paper cites & Tao, W.-Q.

Label-Free Finite-Volume-Residual Training of Attention Graph Neural Networks for Coupled Thermo-Fluid Fields & Tao, W.-Q

Reference 40

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source=pdf_text observed=2026-08-01T10:13:41.653184Z digest=sha256:d3d36682b8e737795526b141e7fbe2496d4b4b0197269e17f0dcab726f9c1220

Observation 62ef4461-2f27-4035-9395-151b0ce86508 · outbound

This paper cites & Zhang, W.

Label-Free Finite-Volume-Residual Training of Attention Graph Neural Networks for Coupled Thermo-Fluid Fields & Zhang, W

Reference 41

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source=pdf_text observed=2026-08-01T10:13:41.730991Z digest=sha256:228ccb00f55be2581d7067dcf43add397bed3a88f1fea21faaee5c04d478b136

Observation 7f0dd677-8693-482a-9464-41148155e8f0 · outbound

This paper cites an unresolved cited work.

Label-Free Finite-Volume-Residual Training of Attention Graph Neural Networks for Coupled Thermo-Fluid Fields Unresolved cited work

Reference 42

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source=pdf_text observed=2026-08-01T10:13:41.794272Z digest=sha256:1ee49c10d03e971e7f75291afbf35362a1a15fc605396f034e4e224471ca26d3

Observation a2637d3c-234d-447e-830f-4a259896f870 · outbound

This paper cites an unresolved cited work.

Label-Free Finite-Volume-Residual Training of Attention Graph Neural Networks for Coupled Thermo-Fluid Fields Unresolved cited work

Reference 43

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source=pdf_text observed=2026-08-01T10:13:41.861615Z digest=sha256:44e57b2c0469d7109faa59056c6d45b8ecdac192cb9b27f7a7b8de4e00ab0c4a

Observation 25b9298c-4ba2-454d-a252-2bd11b63db38 · outbound

This paper cites an unresolved cited work.

Label-Free Finite-Volume-Residual Training of Attention Graph Neural Networks for Coupled Thermo-Fluid Fields Unresolved cited work

Reference 44

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source=pdf_text observed=2026-08-01T10:13:41.927748Z digest=sha256:43aee4c89e7d6ecf04785c1793352015eafa38ef9e6a4bdc46c2fc6a83119d38

Observation 0a93419b-d48f-42a9-b5e4-4f9dd7a8ceec · outbound

This paper cites Neural Message Passing for Quantum Chemistry.

Label-Free Finite-Volume-Residual Training of Attention Graph Neural Networks for Coupled Thermo-Fluid Fields Neural Message Passing for Quantum Chemistry

Reference 45

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source=pdf_text observed=2026-08-01T10:13:41.985199Z digest=sha256:f24df3f31eabc070f89eb022e4c70fab26acb71e027669f3960c1c4c8cac23ef

Observation 5af57ccf-1224-4daf-a045-6a04e5d36f26 · outbound

This paper cites Relational inductive biases, deep learning, and graph networks.

Label-Free Finite-Volume-Residual Training of Attention Graph Neural Networks for Coupled Thermo-Fluid Fields Relational inductive biases, deep learning, and graph networks

Reference 46

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source=pdf_text observed=2026-08-01T10:13:42.049573Z digest=sha256:61ec3a6e6015ffdb26d12ab14d23d29e99b02325856f18812a89f333022ac482

Observation 92fcd808-4c2d-46f4-a7ce-92db74895487 · outbound

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

Label-Free Finite-Volume-Residual Training of Attention Graph Neural Networks for Coupled Thermo-Fluid Fields Transolver: A Fast Transformer Solver for PDEs on General Geometries

Reference 47

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source=pdf_text observed=2026-08-01T10:13:42.118654Z digest=sha256:3652da5870e986f4a3e06ceb2ce1b07fe71d68e98026ddc1c06f963ad79c3364

Observation 554cd237-26e6-45cb-8727-620b7458ebbc · outbound

This paper cites Attention Is All You Need.

Label-Free Finite-Volume-Residual Training of Attention Graph Neural Networks for Coupled Thermo-Fluid Fields Attention Is All You Need

Reference 48

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source=pdf_text observed=2026-08-01T10:13:42.172189Z digest=sha256:b696c04fb02d450db3c6b8b388b77be90560a2a2d75ce27e6f5ce34d789bd818

Observation 525e028d-1f56-4476-a486-3802d5eba640 · outbound

This paper cites & Sun, J.

Label-Free Finite-Volume-Residual Training of Attention Graph Neural Networks for Coupled Thermo-Fluid Fields & Sun, J

Reference 49

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source=pdf_text observed=2026-08-01T10:13:42.232554Z digest=sha256:77291bd2f93b14f9ad0502f535dba9a0974ea34735b799acf5f76864d77af393

Observation 871daf40-f0f0-45ee-a059-6c0e5d5d2b3d · outbound

This paper cites & Perdikaris, P.

Label-Free Finite-Volume-Residual Training of Attention Graph Neural Networks for Coupled Thermo-Fluid Fields & Perdikaris, P

Reference 50

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source=pdf_text observed=2026-08-01T10:13:42.294424Z digest=sha256:1405393f003d130ebe911dd59b8392d7af6b1945ae4d484d62e83e04329d1a23

Observation 24be00bd-0d46-4e9a-8b4e-d03d272d1947 · outbound

This paper cites an unresolved cited work.

Label-Free Finite-Volume-Residual Training of Attention Graph Neural Networks for Coupled Thermo-Fluid Fields Unresolved cited work

Reference 51

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source=pdf_text observed=2026-08-01T10:13:42.368125Z digest=sha256:b60f1c9416e58f3d7d42100a6667217dc1dcd9f017c7b01f6f90b27b59a98d63

Observation 59c831b8-bc6a-4147-9ded-88e008a7f4e6 · outbound

This paper cites an unresolved cited work.

Label-Free Finite-Volume-Residual Training of Attention Graph Neural Networks for Coupled Thermo-Fluid Fields Unresolved cited work

Reference 52

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source=pdf_text observed=2026-08-01T10:13:42.440413Z digest=sha256:9ac5ad4bf587d994665e95e6035d10e9503f8a3902a27a8e31237aec2e246eee

Observation e26e92ed-6814-4932-a07b-7e5c9da676a7 · outbound

This paper cites an unresolved cited work.

Label-Free Finite-Volume-Residual Training of Attention Graph Neural Networks for Coupled Thermo-Fluid Fields Unresolved cited work

Reference 53

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source=pdf_text observed=2026-08-01T10:13:42.491050Z digest=sha256:1744005a1112790d31487484319830348671c2e2a2fd1d6f26be4e750e0bde2e

Observation 24dabc43-38d0-4744-8ee6-37a05a244d73 · outbound

This paper cites Conservation properties of unstructured staggered mesh schemes.

Label-Free Finite-Volume-Residual Training of Attention Graph Neural Networks for Coupled Thermo-Fluid Fields Conservation properties of unstructured staggered mesh schemes

Reference 54

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source=pdf_text observed=2026-08-01T10:13:42.581838Z digest=sha256:8d7e76cbb65ce04543178a020991ac6d42732d5bb63bf808f83a7111fd32fae5

Observation 6891ca9c-c4f3-4cb8-874f-fe3f3b1d0d8e · outbound

This paper cites an unresolved cited work.

Label-Free Finite-Volume-Residual Training of Attention Graph Neural Networks for Coupled Thermo-Fluid Fields Unresolved cited work

Reference 55

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source=pdf_text observed=2026-08-01T10:13:42.639637Z digest=sha256:31d09a37c8ceb5da0c17631cbde551355f9242a22561c58dc8fee241fbf480e4

Observation d4e64d2a-9e6b-4d0c-b8a6-d163424a9f86 · outbound

This paper cites SOAP: Improving and Stabilizing Shampoo using Adam.

Label-Free Finite-Volume-Residual Training of Attention Graph Neural Networks for Coupled Thermo-Fluid Fields SOAP: Improving and Stabilizing Shampoo using Adam

Reference 56

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source=pdf_text observed=2026-08-01T10:13:42.716375Z digest=sha256:62f1a7355c82f596722cabe87711c2947d0ee21ed251ecc5f832cfcfc6445e2a

Observation b1e74aa6-a9a7-4776-bea4-db75e9e4bf61 · outbound

This paper cites & Thuerey, N.

Label-Free Finite-Volume-Residual Training of Attention Graph Neural Networks for Coupled Thermo-Fluid Fields & Thuerey, N

Reference 57

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source=pdf_text observed=2026-08-01T10:13:42.814199Z digest=sha256:04fbbac0a4324716105d46b2189e0c5521176f2497ea59f92caf27df44f68ab5

Observation 66f0afb9-a756-4aa9-97a8-0b3407d405ff · outbound

This paper cites an unresolved cited work.

Label-Free Finite-Volume-Residual Training of Attention Graph Neural Networks for Coupled Thermo-Fluid Fields Unresolved cited work

Reference 58

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source=pdf_text observed=2026-08-01T10:13:43.006960Z digest=sha256:03af1d9e672044e11734405f41c54437c1e506ad9e4434336c97936c6cc54145

Observation cae52b46-c104-46e3-92de-202dfb52a022 · outbound

This paper cites G., Tabor, G., Jasak, H.

Label-Free Finite-Volume-Residual Training of Attention Graph Neural Networks for Coupled Thermo-Fluid Fields G., Tabor, G., Jasak, H

Reference 59

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source=pdf_text observed=2026-08-01T10:13:43.123345Z digest=sha256:d45fe1c1618fbdfaa03eb73622514fb6f9249ce3f411509a2ab0798f1dfe0711

Observation f6c35893-36bc-43b6-8dc9-7b86429c9031 · outbound

This paper cites an unresolved cited work.

Label-Free Finite-Volume-Residual Training of Attention Graph Neural Networks for Coupled Thermo-Fluid Fields Unresolved cited work

Reference 60

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source=pdf_text observed=2026-08-01T10:13:43.229092Z digest=sha256:7bcf1cdadb3eb51d002994f4df4d8062e86e2dff0167d71e540920533324f6f9

Pith citing papers

No inbound Pith citation observations are available.