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Paper Citation Record · LEDGER

Unsupervised Adaptation of PDE Foundation Models

As of 21 August 2026, this Paper Citation Record lists 60 of 60 outbound references and 0 inbound Pith citation observations for arXiv:2608.07053.

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pith.paper-citation-record.v1
2608.07053 v1

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measured 60 of 60 reference resolution

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measured 60 of 60 standing notices

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measured 0 of 0 inbound itemization

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Reference resolution

60 of 60 outbound references displayed

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Outbound references

Observation f9f5c58b-cba0-40ed-9a50-c1de24d8c675 · outbound

This paper cites One-shot transfer learning for nonlinear pdes with perturbative pinns.arXiv preprint arXiv:2511.11137, 2025.

Unsupervised Adaptation of PDE Foundation Models One-shot transfer learning for nonlinear pdes with perturbative pinns.arXiv preprint arXiv:2511.11137, 2025

Reference 1

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Observation 054a182f-c88f-4743-bcaa-af80fd1e6d8f · outbound

This paper cites A table of solutions of the one-dimensional burgers equation.Quarterly of Applied Mathematics, 30(2):195–212, 1972.

Unsupervised Adaptation of PDE Foundation Models A table of solutions of the one-dimensional burgers equation.Quarterly of Applied Mathematics, 30(2):195–212, 1972

Reference 2

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Observation d4d975af-dd37-4140-b6b3-5cf30dd2a1f5 · outbound

This paper cites Hypino: Multi-physics neural operators via hyperpinns and the method of manufactured solu- tions.arXiv preprint arXiv:2509.05117, 2025.

Unsupervised Adaptation of PDE Foundation Models Hypino: Multi-physics neural operators via hyperpinns and the method of manufactured solu- tions.arXiv preprint arXiv:2509.05117, 2025

Reference 3

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Observation 29689080-43d6-467c-a63a-4c47a6e7a680 · outbound

This paper cites an unresolved cited work.

Unsupervised Adaptation of PDE Foundation Models Unresolved cited work

Reference 4

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Observation 008e72c1-7785-4409-bb45-07acf921bbcf · outbound

This paper cites Language models are few-shot learners.Advances in neural information processing systems, 33:1877–1901, 2020.

Unsupervised Adaptation of PDE Foundation Models Language models are few-shot learners.Advances in neural information processing systems, 33:1877–1901, 2020

Reference 5

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Observation 228efd8e-1854-40d3-91c4-37031d928d2b · outbound

This paper cites OLoRA: Orthonormal Low-Rank Adaptation of Large Language Models.

Unsupervised Adaptation of PDE Foundation Models OLoRA: Orthonormal Low-Rank Adaptation of Large Language Models

Reference 6

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Observation 22e877a0-20d7-4536-be4c-55b3cb63b2db · outbound

This paper cites Universal approximation to nonlinear operators by neural networks with arbitrary activation functions and its application to dynamical systems.IEEE Trans.

Unsupervised Adaptation of PDE Foundation Models Universal approximation to nonlinear operators by neural networks with arbitrary activation functions and its application to dynamical systems.IEEE Trans

Reference 7

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Observation 0084048c-a055-4e76-bf12-f7c95e953555 · outbound

This paper cites OmniArch: Building Foundation Model For Scientific Computing.

Unsupervised Adaptation of PDE Foundation Models OmniArch: Building Foundation Model For Scientific Computing

Reference 8

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Observation f4e0178f-e5c4-469d-a313-58fbcc18de17 · outbound

This paper cites Can-pinn: A fast physics-informed neural network based on coupled-automatic–numerical differentiation method.Computer Methods in Applied Mechanics and Engineering, 395:114909, 2022.

Unsupervised Adaptation of PDE Foundation Models Can-pinn: A fast physics-informed neural network based on coupled-automatic–numerical differentiation method.Computer Methods in Applied Mechanics and Engineering, 395:114909, 2022

Reference 9

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Observation 355ed45d-989a-4db7-aa7c-92a8803c1bed · outbound

This paper cites On a quasi-linear parabolic equation occurring in aerodynamics.Quarterly of applied mathematics, 9(3):225–236, 1951.

Unsupervised Adaptation of PDE Foundation Models On a quasi-linear parabolic equation occurring in aerodynamics.Quarterly of applied mathematics, 9(3):225–236, 1951

Reference 10

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Observation 876234f3-8224-41b8-9647-4c6d662edf68 · outbound

This paper cites Bert: Pre-training of deep bidirectional transformers for language understanding.

Unsupervised Adaptation of PDE Foundation Models Bert: Pre-training of deep bidirectional transformers for language understanding

Reference 11

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Observation 6bbb08ca-afc0-4d0c-8ef4-c88e1bb74f6c · outbound

This paper cites An image is worth 16x16 words: Transformers for image recognition at scale.

Unsupervised Adaptation of PDE Foundation Models An image is worth 16x16 words: Transformers for image recognition at scale

Reference 12

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Observation 7f8032c8-be9d-444a-8627-17d0b3526370 · outbound

This paper cites Evans.Partial differential equations, volume 19 ofGrad.

Unsupervised Adaptation of PDE Foundation Models Evans.Partial differential equations, volume 19 ofGrad

Reference 13

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Observation 87378065-af29-470c-9b6c-7921f1c49bff · outbound

This paper cites Towards Multi-spatiotemporal-scale Generalized PDE Modeling.

Unsupervised Adaptation of PDE Foundation Models Towards Multi-spatiotemporal-scale Generalized PDE Modeling

Reference 14

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Observation 48575b25-c530-4abc-944e-eaeae3d16d01 · outbound

This paper cites DPOT: auto-regressive denoising operator transformer for large-scale PDE pre-training.

Unsupervised Adaptation of PDE Foundation Models DPOT: auto-regressive denoising operator transformer for large-scale PDE pre-training

Reference 15

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Observation dd4a243c-c875-4877-b4f8-926a8bafd932 · outbound

This paper cites Neighborhood attention transformer.

Unsupervised Adaptation of PDE Foundation Models Neighborhood attention transformer

Reference 16

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Observation 211ffb5f-af78-45c5-b4f0-22eb1e90a79f · outbound

This paper cites Poseidon: Efficient founda- tion models for pdes.

Unsupervised Adaptation of PDE Foundation Models Poseidon: Efficient founda- tion models for pdes

Reference 17

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Observation 60eec8d7-f3be-4010-a289-e7f16dd3f58f · outbound

This paper cites Holzschuh, Qiang Liu, Georg Kohl, and Nils Thuerey.

Unsupervised Adaptation of PDE Foundation Models Holzschuh, Qiang Liu, Georg Kohl, and Nils Thuerey

Reference 18

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source=pdf_text observed=2026-08-10T15:41:11.469249Z digest=sha256:584dd5fcdea7bbf62fbd91aaba928c008404103f1c28c35021fe90911d9d759b

Observation 2ccf1239-3fb0-4dfe-828d-14260484c6ba · outbound

This paper cites The partial differential equation ut +uu x =µu xx.Communications on Pure and Applied Mathematics, 3(3):201–230, 1950.

Unsupervised Adaptation of PDE Foundation Models The partial differential equation ut +uu x =µu xx.Communications on Pure and Applied Mathematics, 3(3):201–230, 1950

Reference 19

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Observation 2a561bcd-32c9-425e-b930-94a926aa4b7c · outbound

This paper cites Hu, Yelong Shen, Phillip Wallis, Zeyuan Allen-Zhu, Yuanzhi Li, Shean Wang, Lu Wang, and Weizhu Chen.

Unsupervised Adaptation of PDE Foundation Models Hu, Yelong Shen, Phillip Wallis, Zeyuan Allen-Zhu, Yuanzhi Li, Shean Wang, Lu Wang, and Weizhu Chen

Reference 20

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Observation 88d88317-3a2c-4099-82c7-5bf17511193e · outbound

This paper cites Muon: An optimizer for hidden layers in neural networks, 2024.

Unsupervised Adaptation of PDE Foundation Models Muon: An optimizer for hidden layers in neural networks, 2024

Reference 21

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Observation c0edaffa-009d-4755-b616-aa353dc4c4d5 · outbound

This paper cites Uniform spec- tral growth and convergence of muon in lora-style matrix factorization.arXiv preprint arXiv:2602.06385, 2026.

Unsupervised Adaptation of PDE Foundation Models Uniform spec- tral growth and convergence of muon in lora-style matrix factorization.arXiv preprint arXiv:2602.06385, 2026

Reference 22

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Observation 48d1594b-f558-4c2b-a173-cca869e829e4 · outbound

This paper cites Kevrekidis, Lu Lu, Paris Perdikaris, Sifan Wang, and Liu Yang.

Unsupervised Adaptation of PDE Foundation Models Kevrekidis, Lu Lu, Paris Perdikaris, Sifan Wang, and Liu Yang

Reference 23

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Observation d09da347-c4b0-4286-8484-ebf31307cd36 · outbound

This paper cites Apebench: A benchmark for autoregressive neural emulators of pdes.

Unsupervised Adaptation of PDE Foundation Models Apebench: A benchmark for autoregressive neural emulators of pdes

Reference 24

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Observation 8bccf7a7-027d-4bdf-a048-42478e38b5ae · outbound

This paper cites Multi-Grid Tensorized Fourier Neural Operator for High-Resolution PDEs.

Unsupervised Adaptation of PDE Foundation Models Multi-Grid Tensorized Fourier Neural Operator for High-Resolution PDEs

Reference 25

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Observation 56737f3c-09a3-47cb-acf3-345e2c86706b · outbound

This paper cites Kovachki, Zongyi Li, Burigede Liu, Kamyar Azizzadenesheli, Kaushik Bhattacharya, Andrew M.

Unsupervised Adaptation of PDE Foundation Models Kovachki, Zongyi Li, Burigede Liu, Kamyar Azizzadenesheli, Kaushik Bhattacharya, Andrew M

Reference 26

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Observation ee9baa7e-f92e-43ab-8e8f-a500d8cb0818 · outbound

This paper cites LeVeque.Finite Difference Methods for Ordinary and Partial Differential Equations: Steady-State and Time-Dependent Problems.

Unsupervised Adaptation of PDE Foundation Models LeVeque.Finite Difference Methods for Ordinary and Partial Differential Equations: Steady-State and Time-Dependent Problems

Reference 27

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Observation ef000df0-f9c3-4443-bf19-d81607c95dc4 · outbound

This paper cites Stuart, and Anima Anandkumar.

Unsupervised Adaptation of PDE Foundation Models Stuart, and Anima Anandkumar

Reference 28

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raw_fallback, observed 2026-08-10T15:41:12.619460Z

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-10T15:41:11.506293Z digest=sha256:6000769ea285d60045e4aaab64e6170ec3e74f20eec7fd6be899919f5df0e8f4

Observation 93f85bf0-a874-4089-9d1e-1d84bf46fb0c · outbound

This paper cites Fourier neural operator with learned deformations for pdes on general geometries.Journal of Machine Learning Research, 24(388):1–26, 2023.

Unsupervised Adaptation of PDE Foundation Models Fourier neural operator with learned deformations for pdes on general geometries.Journal of Machine Learning Research, 24(388):1–26, 2023

Reference 29

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source=pdf_text observed=2026-08-10T15:41:11.509804Z digest=sha256:b880479f618031ce330c9ec081ba8395e7d3a00261edefb3ddc13c2aa0c1be39

Observation 3e20bee4-591c-4841-8492-4b9702df231b · outbound

This paper cites Physics-informed neural operator for learning partial differential equations.ACM/IMS Journal of Data Science, 1(3):1–27, 2024.

Unsupervised Adaptation of PDE Foundation Models Physics-informed neural operator for learning partial differential equations.ACM/IMS Journal of Data Science, 1(3):1–27, 2024

Reference 30

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Observation f03e8c87-2926-486c-a874-ce1ee6438198 · outbound

This paper cites A convnet for the 2020s.

Unsupervised Adaptation of PDE Foundation Models A convnet for the 2020s

Reference 31

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source=pdf_text observed=2026-08-10T15:41:11.516396Z digest=sha256:602ee72c66e92c49473cd1c7dd2436e19eefb4f181d285830ea21acc6b5dd23b

Observation d226f9d6-9a0c-4aa1-9ce8-4bb0b8a11ace · outbound

This paper cites Learning nonlinear operators via deeponet based on the universal approximation theorem of operators.

Unsupervised Adaptation of PDE Foundation Models Learning nonlinear operators via deeponet based on the universal approximation theorem of operators

Reference 32

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Observation 4326d286-7448-4417-b141-0d54ec23bdf6 · outbound

This paper cites Cranmer, Alberto Bietti, Michael Eickenberg, Siavash Golkar, Géraud Krawezik, François Lanusse, Mariel Pettee, Tiberiu Tesileanu, Kyunghyun Cho, and Shirley Ho.

Unsupervised Adaptation of PDE Foundation Models Cranmer, Alberto Bietti, Michael Eickenberg, Siavash Golkar, Géraud Krawezik, François Lanusse, Mariel Pettee, Tiberiu Tesileanu, Kyunghyun Cho, and Shirley Ho

Reference 33

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raw_fallback, observed 2026-08-10T15:41:12.589761Z

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-10T15:41:11.523792Z digest=sha256:1ad79deadfc538fbaebf9070939d4779199427682a3ae485bb088420ba993331

Observation c21f3197-dfa2-4b28-b7aa-18d32c8f7428 · outbound

This paper cites PhysiX: A Foundation Model for Physics Simulations.

Unsupervised Adaptation of PDE Foundation Models PhysiX: A Foundation Model for Physics Simulations

Reference 34

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source=pdf_text observed=2026-08-10T15:41:11.527694Z digest=sha256:991d713a5344cda8a56a25c1cc3b59f47b7ce094e1554a8b2d00c3a43245d90f

Observation 28574b0b-cad5-4547-8c1e-942e8c05a6e6 · outbound

This paper cites The well: a large-scale collection of diverse physics simulations for machine learning.Advances in Neural Information Processing Systems, 37:44989–45037, 2024.

Unsupervised Adaptation of PDE Foundation Models The well: a large-scale collection of diverse physics simulations for machine learning.Advances in Neural Information Processing Systems, 37:44989–45037, 2024

Reference 35

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no resolver link, observed 2026-08-10T15:41:11.531718Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T15:41:11.531718Z digest=sha256:55fcedf376ad9770ab1f4ad93ea81f26a27b826927f6102fb2bb9233de70e5b6

Observation 58737e92-604a-4c1a-b700-f087d5e9237c · outbound

This paper cites Karniadakis.

Unsupervised Adaptation of PDE Foundation Models Karniadakis

Reference 36

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no resolver link, observed 2026-08-10T15:41:11.535432Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T15:41:11.535432Z digest=sha256:a8b46e6ca5fbced332015891c27d25b494cd81664349cc72665e17b991dc0e01

Observation c5f693d4-3ce5-4c2c-91d0-a4ce86d67c38 · outbound

This paper cites Convolutional neural operators for robust and accurate learning of PDEs.

Unsupervised Adaptation of PDE Foundation Models Convolutional neural operators for robust and accurate learning of PDEs

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T15:41:12.573080Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-10T15:41:11.540051Z digest=sha256:279032f07acfbccb4d0fbe332df12727bcf07ca1053106676f5b331c7e8c0443

Observation 37abe6ac-55cb-4781-b0fe-509757836a37 · outbound

This paper cites Morph: Pde foundation models with arbitrary data modality.arXiv preprint arXiv:2509.21670, 2025.

Unsupervised Adaptation of PDE Foundation Models Morph: Pde foundation models with arbitrary data modality.arXiv preprint arXiv:2509.21670, 2025

Reference 38

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no resolver link, observed 2026-08-10T15:41:11.543938Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T15:41:11.543938Z digest=sha256:43ef285db2994cbd1c6620a06e9eff3d0020f1832de2b7e95f467e3b42ef4a24

Observation c08a3cd0-c18f-451a-b4ea-024139acbdb3 · outbound

This paper cites U-net: Convolutional networks for biomedical image segmentation.

Unsupervised Adaptation of PDE Foundation Models U-net: Convolutional networks for biomedical image segmentation

Reference 39

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no resolver link, observed 2026-08-10T15:41:11.547786Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T15:41:11.547786Z digest=sha256:17bb04427dab59688e598572f79fbb60c05702f2f3dec1ce7fabfe3cf36ad5c4

Observation 0d9c9b56-4387-4b3e-9d3d-235218333ad7 · outbound

This paper cites Test-time gen- eralization for physics through neural operator splitting.arXiv preprint arXiv:2602.00884, 2026.

Unsupervised Adaptation of PDE Foundation Models Test-time gen- eralization for physics through neural operator splitting.arXiv preprint arXiv:2602.00884, 2026

Reference 40

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no resolver link, observed 2026-08-10T15:41:11.551909Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T15:41:11.551909Z digest=sha256:eed008584060c77ef1b98118ac222435b564a6ec4c3d9f9f4eb0f66e57afe14b

Observation 86173532-bd1d-45e9-bd76-5b3254a4b138 · outbound

This paper cites GLU Variants Improve Transformer.

Unsupervised Adaptation of PDE Foundation Models GLU Variants Improve Transformer

Reference 41

Resolution
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no resolver link, observed 2026-08-10T15:41:11.555597Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T15:41:11.555597Z digest=sha256:b019ec833d0ee53ed1a29bd69a994bd36efd93a5f0db4f6150ab0fd399dd2f12

Observation 090144e5-d89c-4145-bbac-046d2f312e01 · outbound

This paper cites LeMON: Learning to Learn Multi-Operator Networks.

Unsupervised Adaptation of PDE Foundation Models LeMON: Learning to Learn Multi-Operator Networks

Reference 42

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no resolver link, observed 2026-08-10T15:41:11.560107Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T15:41:11.560107Z digest=sha256:d38da7a3baad8ead44ef2c6a059ef691e684b1648cfe7f7001fcc3bc0b22c091

Observation 0175ab15-4375-413a-ace1-49f2baceead0 · outbound

This paper cites Pdebench: An extensive benchmark for scientific machine learning.

Unsupervised Adaptation of PDE Foundation Models Pdebench: An extensive benchmark for scientific machine learning

Reference 43

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T15:41:12.556985Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-10T15:41:11.564239Z digest=sha256:80ade79a9f539c6384af10d5a2da5d2da1a9313b4ba062cb9d39d1de196a41a7

Observation 6e16f053-28b3-4549-97fd-1d565089be52 · outbound

This paper cites Mechanism of the production of small eddies from large ones.Proceedings of the Royal Society of London.

Unsupervised Adaptation of PDE Foundation Models Mechanism of the production of small eddies from large ones.Proceedings of the Royal Society of London

Reference 44

Resolution
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no resolver link, observed 2026-08-10T15:41:11.568076Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T15:41:11.568076Z digest=sha256:f10d78d2cb3da9718dfb3b3b925adced8cfa445bcab94d0c9a93ce2526460273

Observation 533230cc-7054-43a7-9df6-50a0e840c633 · outbound

This paper cites Factorized Fourier Neural Operators.

Unsupervised Adaptation of PDE Foundation Models Factorized Fourier Neural Operators

Reference 45

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no resolver link, observed 2026-08-10T15:41:11.571942Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T15:41:11.571942Z digest=sha256:864a862ec3f797886527e6757f050b2f747cbb8104fbdc75adc5ad42d48c58a1

Observation 780b51a8-5b6e-48d2-9a58-414c574fde8f · outbound

This paper cites Learning the solution operator of parametric partial differential equations with physics-informed DeepOnets.

Unsupervised Adaptation of PDE Foundation Models Learning the solution operator of parametric partial differential equations with physics-informed DeepOnets

Reference 46

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no resolver link, observed 2026-08-10T15:41:11.575982Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T15:41:11.575982Z digest=sha256:d621838299bcb422912e6483ff6f03e612cdf51b81ac0c2a23936705e6224805

Observation 73460f66-a39b-4ea9-9578-6883b5e14cc7 · outbound

This paper cites Respecting causality is all you need for training physics-informed neural networks.

Unsupervised Adaptation of PDE Foundation Models Respecting causality is all you need for training physics-informed neural networks

Reference 47

Resolution
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no resolver link, observed 2026-08-10T15:41:11.580063Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T15:41:11.580063Z digest=sha256:76f737e3fdcfa9f0944ec8a5990917df626be3bdfafb46240018a6c4425cbe38

Observation c1cd3d4f-5620-4f8c-975e-5ca48f4db6cb · outbound

This paper cites When and why pinns fail to train: A neural tangent kernel perspective.J.

Unsupervised Adaptation of PDE Foundation Models When and why pinns fail to train: A neural tangent kernel perspective.J

Reference 48

Resolution
unresolved
no resolver link, observed 2026-08-10T15:41:11.584064Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T15:41:11.584064Z digest=sha256:f58bd6ecdb2f53d3716d35a2464565692b04152a0beb79e3519b5f629644fa08

Observation 5603482c-4e02-49d9-9bea-dc25d9dcf156 · outbound

This paper cites Gradient alignment in physics-informed neural networks: A second-order optimization perspective.

Unsupervised Adaptation of PDE Foundation Models Gradient alignment in physics-informed neural networks: A second-order optimization perspective

Reference 49

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T15:41:12.540532Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-10T15:41:11.587806Z digest=sha256:70cf1c34013d79a31a990ed2fd681340372281f1b1bed1617b568e6476c668df

Observation eba76cf4-8214-4b9d-bc3f-4a843cd18ebb · outbound

This paper cites Orthogonal subspace learning for language model continual learning.

Unsupervised Adaptation of PDE Foundation Models Orthogonal subspace learning for language model continual learning

Reference 50

Resolution
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no resolver link, observed 2026-08-10T15:41:11.591879Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T15:41:11.591879Z digest=sha256:d633d7d1b7c360ce881a58439b48e895880d6bcbf3f89558476251f451de9791

Observation 89998280-e55f-4025-88e0-e6492ab9ec9f · outbound

This paper cites Orthogeolora: Geometric parameter-efficient fine-tuning for structured social science concept retrieval on theweb.arXiv preprint arXiv:2601.09185, 2026.

Unsupervised Adaptation of PDE Foundation Models Orthogeolora: Geometric parameter-efficient fine-tuning for structured social science concept retrieval on theweb.arXiv preprint arXiv:2601.09185, 2026

Reference 51

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verified exact
raw_fallback, observed 2026-08-10T15:41:11.911176Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-10T15:41:11.595353Z digest=sha256:879b663e17b6a5f17a35e2917b1bf11346bf6bf98486b3645a953d340a4cf165

Observation 1eb6d308-e42c-42a6-9bb0-ce6f06c51ace · outbound

This paper cites Evolutionary neural architecture search for physics-informed neural networks with variable-length designs.IEEE Transactions on Evolutionary Computation, pages 1–1, 2026.

Unsupervised Adaptation of PDE Foundation Models Evolutionary neural architecture search for physics-informed neural networks with variable-length designs.IEEE Transactions on Evolutionary Computation, pages 1–1, 2026

Reference 52

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T15:41:12.522886Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-10T15:41:11.598875Z digest=sha256:85c44e630f5d9aee2b8971b0ef886cdd43ad8d9eb76a951cbb250350678a04e0

Observation 5753a787-e925-4110-8d88-894cc226102e · outbound

This paper cites Out-of-distribution generalization for neural physics solvers.arXiv preprint arXiv:2601.19091, 2026.

Unsupervised Adaptation of PDE Foundation Models Out-of-distribution generalization for neural physics solvers.arXiv preprint arXiv:2601.19091, 2026

Reference 53

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no resolver link, observed 2026-08-10T15:41:11.602580Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T15:41:11.602580Z digest=sha256:e1b376f47dc0ffff16fd3a988868f89d21271fc9e6945a8ad54e78a25e30e314

Observation cc694545-04fb-4ea2-b7f1-5400db081394 · outbound

This paper cites Geometry aware operator transformer as an efficient and accurate neural surrogate for PDEs on arbitrary domains.

Unsupervised Adaptation of PDE Foundation Models Geometry aware operator transformer as an efficient and accurate neural surrogate for PDEs on arbitrary domains

Reference 54

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T15:41:12.512021Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-10T15:41:11.606039Z digest=sha256:31551218d991101ccad816f202e40fa64c3dbfc44895eeffc45120523919764c

Observation a47ec9d9-4955-41e8-ac69-0acf710f343a · outbound

This paper cites Transolver: A fast transformer solver for pdes on general geometries.

Unsupervised Adaptation of PDE Foundation Models Transolver: A fast transformer solver for pdes on general geometries

Reference 55

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T15:41:12.500392Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-10T15:41:11.609065Z digest=sha256:1516d671e70e867c0e65dff19fadd9594eb1ed13fd528bd742120885713f0143

Observation b2b135aa-d949-4b61-9213-06d65cf46d99 · outbound

This paper cites Oplora: Orthogonal projection lora prevents catastrophic forgetting during parameter-efficient fine-tuning.

Unsupervised Adaptation of PDE Foundation Models Oplora: Orthogonal projection lora prevents catastrophic forgetting during parameter-efficient fine-tuning

Reference 56

Resolution
unresolved
no resolver link, observed 2026-08-10T15:41:11.612433Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T15:41:11.612433Z digest=sha256:8d338bae93fac0053451efc387f0b1c0c94d50fc4602c5f1ad7e61b562f4085b

Observation 81145e23-2e90-4b12-9058-07803e7751fa · outbound

This paper cites Root mean square layer normalization.

Unsupervised Adaptation of PDE Foundation Models Root mean square layer normalization

Reference 57

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T15:41:12.482596Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-10T15:41:11.615452Z digest=sha256:e023e3b7a86d2973cc1477ca0ad364d6def72b664c70a55d826c734dbbdce3b0

Observation b85c55ae-183b-4cf3-b6ad-67effc627a48 · outbound

This paper cites Physics-informed temporal alignment for auto-regressive PDE foundation models.

Unsupervised Adaptation of PDE Foundation Models Physics-informed temporal alignment for auto-regressive PDE foundation models

Reference 58

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T15:41:12.469648Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-10T15:41:11.619047Z digest=sha256:bae99e18745e91c7be3fe3f94df3e09aa3eac2ce7d99ae7bccb6b4c13df01be1

Observation b6149cdb-f527-43c3-8d78-fafad3cec03e · outbound

This paper cites Width” denotes hidden_channels for FNO and TFNO and init_features for the two U-Nets. “Depth.

Unsupervised Adaptation of PDE Foundation Models Width” denotes hidden_channels for FNO and TFNO and init_features for the two U-Nets. “Depth

Reference 59

Resolution
malformed identifier
no resolver link, observed 2026-08-10T15:41:11.622295Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T15:41:11.622295Z digest=sha256:990f16f9fcfd4c7275079d93dce4722556662c641bebbe5fec7ae5a2893eb94c

Observation 439202b6-1fc9-4a3c-8335-533cf2b9d602 · outbound

This paper cites URLhttps://openreview.net/forum?id=nZeVKeeFYf9.

Unsupervised Adaptation of PDE Foundation Models URLhttps://openreview.net/forum?id=nZeVKeeFYf9

Reference 2022

Resolution
unresolved
no resolver link, observed 2026-08-10T15:41:11.479859Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T15:41:11.479859Z digest=sha256:26c762a8377f0ae9b94ba730249ffd8cab2463631bfa163e83eb9967f8fafca1

Pith citing papers

No inbound Pith citation observations are available.