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Paper Citation Record · LEDGER

Maximal Update Parametrization and Zero-Shot Hyperparameter Transfer for Fourier Neural Operators

As of 24 August 2026, this Paper Citation Record lists 56 of 56 outbound references and 0 inbound Pith citation observations for arXiv:2506.19396.

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

pith.paper-citation-record.v1
2506.19396 v1

Coverage vector

measured 56 of 56 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T18:39:48.502591Z

measured 56 of 56 standing notices

One-hop event checks from named stored sources.

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measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

56 of 56 outbound references displayed

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External citation measurements

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Outbound references

Observation 42cf6aec-a17d-4899-af39-ea43814ef9ed · outbound

This paper cites write newline.

Maximal Update Parametrization and Zero-Shot Hyperparameter Transfer for Fourier Neural Operators write newline

Reference 1

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Observation 8a2eab68-6454-4fb8-b550-680ece440a38 · outbound

This paper cites L., Gruber, L., Holzleitner, M., and Brandstetter, J.

Maximal Update Parametrization and Zero-Shot Hyperparameter Transfer for Fourier Neural Operators L., Gruber, L., Holzleitner, M., and Brandstetter, J

Reference 2

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Observation 4a7da4ad-4a2d-4d18-926a-d0b0fe10188c · outbound

This paper cites Y., Deiseroth, B., Cruz-Salinas, A.

Maximal Update Parametrization and Zero-Shot Hyperparameter Transfer for Fourier Neural Operators Y., Deiseroth, B., Cruz-Salinas, A

Reference 3

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Observation d16b33f6-42eb-4541-a46d-e028e1e76f2c · outbound

This paper cites B., Hanin, B., and Pehlevan, C.

Maximal Update Parametrization and Zero-Shot Hyperparameter Transfer for Fourier Neural Operators B., Hanin, B., and Pehlevan, C

Reference 4

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Observation 190b7930-bf23-41e8-8b32-3133e04b3fed · outbound

This paper cites B., Levine, M.

Maximal Update Parametrization and Zero-Shot Hyperparameter Transfer for Fourier Neural Operators B., Levine, M

Reference 5

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Observation 7bcd479d-f93e-480d-844b-5b023c273f6e · outbound

This paper cites Choose a transformer: Fourier or galerkin.

Maximal Update Parametrization and Zero-Shot Hyperparameter Transfer for Fourier Neural Operators Choose a transformer: Fourier or galerkin

Reference 6

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Observation 677f9b7f-356e-4a64-81ae-cad28c2fd770 · outbound

This paper cites Principled architecture-aware scaling of hyperparameters.

Maximal Update Parametrization and Zero-Shot Hyperparameter Transfer for Fourier Neural Operators Principled architecture-aware scaling of hyperparameters

Reference 7

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Observation 12c69ddd-4c11-4214-a476-21137e75cb89 · outbound

This paper cites and Mishra, S.

Maximal Update Parametrization and Zero-Shot Hyperparameter Transfer for Fourier Neural Operators and Mishra, S

Reference 8

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Observation c82d999f-4886-446c-81dd-2fa049f2fca6 · outbound

This paper cites Cerebras-GPT: Open Compute-Optimal Language Models Trained on the Cerebras Wafer-Scale Cluster.

Maximal Update Parametrization and Zero-Shot Hyperparameter Transfer for Fourier Neural Operators Cerebras-GPT: Open Compute-Optimal Language Models Trained on the Cerebras Wafer-Scale Cluster

Reference 9

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Observation 35e52478-7d3a-413d-9e60-ede82047b9bd · outbound

This paper cites Physics-informed inference time scaling via simulation-calibrated scientific machine learning.

Maximal Update Parametrization and Zero-Shot Hyperparameter Transfer for Fourier Neural Operators Physics-informed inference time scaling via simulation-calibrated scientific machine learning

Reference 10

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Observation 89b714d2-5737-4ceb-bf2a-d944c4440647 · outbound

This paper cites J., Zhao, J., Kossaifi, J., Li, Z., and Anandkumar, A.

Maximal Update Parametrization and Zero-Shot Hyperparameter Transfer for Fourier Neural Operators J., Zhao, J., Kossaifi, J., Li, Z., and Anandkumar, A

Reference 11

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No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

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Observation 5a7a8556-dac5-4d6f-9073-d398d3fdae8d · outbound

This paper cites Multiwavelet-based operator learning for differential equations.

Maximal Update Parametrization and Zero-Shot Hyperparameter Transfer for Fourier Neural Operators Multiwavelet-based operator learning for differential equations

Reference 12

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Observation 40d82a80-ea9e-445b-b6fb-adeb0462dd03 · outbound

This paper cites Solving high-dimensional partial differential equations using deep learning.

Maximal Update Parametrization and Zero-Shot Hyperparameter Transfer for Fourier Neural Operators Solving high-dimensional partial differential equations using deep learning

Reference 13

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Observation 5e0ff353-b7e0-4684-8f44-e266eb513a53 · outbound

This paper cites Learning physics-informed neural networks without stacked back-propagation.

Maximal Update Parametrization and Zero-Shot Hyperparameter Transfer for Fourier Neural Operators Learning physics-informed neural networks without stacked back-propagation

Reference 14

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Observation aa03964d-ae3e-4a62-913b-ff164f533f2e · outbound

This paper cites Scaling Laws for Autoregressive Generative Modeling.

Maximal Update Parametrization and Zero-Shot Hyperparameter Transfer for Fourier Neural Operators Scaling Laws for Autoregressive Generative Modeling

Reference 15

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This paper cites Training Compute-Optimal Large Language Models.

Maximal Update Parametrization and Zero-Shot Hyperparameter Transfer for Fourier Neural Operators Training Compute-Optimal Large Language Models

Reference 16

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This paper cites Meta-auto-decoder for solving parametric partial differential equations.

Maximal Update Parametrization and Zero-Shot Hyperparameter Transfer for Fourier Neural Operators Meta-auto-decoder for solving parametric partial differential equations

Reference 17

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Observation 5e09df85-7be1-42cc-a0bf-d808ae758509 · outbound

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Maximal Update Parametrization and Zero-Shot Hyperparameter Transfer for Fourier Neural Operators and Karakida, R

Reference 18

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Observation 7e42f225-f98e-4078-870f-a6e8cea239e1 · outbound

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Maximal Update Parametrization and Zero-Shot Hyperparameter Transfer for Fourier Neural Operators Scaling Scaling Laws with Board Games

Reference 19

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Maximal Update Parametrization and Zero-Shot Hyperparameter Transfer for Fourier Neural Operators Scaling Laws for Neural Language Models

Reference 20

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This paper cites Solving parametric pde problems with artificial neural networks.

Maximal Update Parametrization and Zero-Shot Hyperparameter Transfer for Fourier Neural Operators Solving parametric pde problems with artificial neural networks

Reference 21

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Maximal Update Parametrization and Zero-Shot Hyperparameter Transfer for Fourier Neural Operators and Kang, M

Reference 22

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This paper cites Adam: A Method for Stochastic Optimization.

Maximal Update Parametrization and Zero-Shot Hyperparameter Transfer for Fourier Neural Operators Adam: A Method for Stochastic Optimization

Reference 23

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This paper cites A., Alieva, A., Wang, Q., Brenner, M.

Maximal Update Parametrization and Zero-Shot Hyperparameter Transfer for Fourier Neural Operators A., Alieva, A., Wang, Q., Brenner, M

Reference 24

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This paper cites Understanding the expressivity and trainability of fourier neural operator: A mean-field perspective.

Maximal Update Parametrization and Zero-Shot Hyperparameter Transfer for Fourier Neural Operators Understanding the expressivity and trainability of fourier neural operator: A mean-field perspective

Reference 25

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This paper cites On universal approximation and error bounds for fourier neural operators.

Maximal Update Parametrization and Zero-Shot Hyperparameter Transfer for Fourier Neural Operators On universal approximation and error bounds for fourier neural operators

Reference 26

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This paper cites Neural operator: Learning maps between function spaces with applications to pdes.

Maximal Update Parametrization and Zero-Shot Hyperparameter Transfer for Fourier Neural Operators Neural operator: Learning maps between function spaces with applications to pdes

Reference 27

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This paper cites and Dik, M.

Maximal Update Parametrization and Zero-Shot Hyperparameter Transfer for Fourier Neural Operators and Dik, M

Reference 28

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Observation fef2a451-93e9-4c6c-9895-468a4afc9690 · outbound

This paper cites Codepde: An inference framework for llm-driven pde solver generation.

Maximal Update Parametrization and Zero-Shot Hyperparameter Transfer for Fourier Neural Operators Codepde: An inference framework for llm-driven pde solver generation

Reference 29

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Observation 12ba117f-0b6e-4ec3-b735-d3a03ef32e1d · outbound

This paper cites Multipole graph neural operator for parametric partial differential equations.

Maximal Update Parametrization and Zero-Shot Hyperparameter Transfer for Fourier Neural Operators Multipole graph neural operator for parametric partial differential equations

Reference 30

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This paper cites B., Azizzadenesheli, K., liu, B., Bhattacharya, K., Stuart, A., and Anandkumar, A.

Maximal Update Parametrization and Zero-Shot Hyperparameter Transfer for Fourier Neural Operators B., Azizzadenesheli, K., liu, B., Bhattacharya, K., Stuart, A., and Anandkumar, A

Reference 31

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Observation 63af6c56-43ac-4bef-8ab3-ae59769d2cc8 · outbound

This paper cites Physics-informed neural operator for learning partial differential equations.

Maximal Update Parametrization and Zero-Shot Hyperparameter Transfer for Fourier Neural Operators Physics-informed neural operator for learning partial differential equations

Reference 32

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Observation ea2dd1dc-5995-42a1-80f5-e909fc6e68b1 · outbound

This paper cites An Empirical Study of $\mu$P Learning Rate Transfer.

Maximal Update Parametrization and Zero-Shot Hyperparameter Transfer for Fourier Neural Operators An Empirical Study of $\mu$P Learning Rate Transfer

Reference 33

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Observation 5f765edc-3709-4058-91b6-a10d9cc4fc81 · outbound

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Maximal Update Parametrization and Zero-Shot Hyperparameter Transfer for Fourier Neural Operators PDE -net: Learning PDE s from data

Reference 34

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Observation 70bc079c-1a4c-4cf5-9647-ed95a037c430 · outbound

This paper cites Pde-net 2.0: Learning pdes from data with a numeric-symbolic hybrid deep network.

Maximal Update Parametrization and Zero-Shot Hyperparameter Transfer for Fourier Neural Operators Pde-net 2.0: Learning pdes from data with a numeric-symbolic hybrid deep network

Reference 35

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Observation e655de7e-be4e-44c3-b50b-134aabf6493e · outbound

This paper cites an unresolved cited work.

Maximal Update Parametrization and Zero-Shot Hyperparameter Transfer for Fourier Neural Operators Unresolved cited work

Reference 36

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Observation 1fae80f4-2b2d-47fb-a550-cf6b9dca7898 · outbound

This paper cites Super consistency of neural network landscapes and learning rate transfer.

Maximal Update Parametrization and Zero-Shot Hyperparameter Transfer for Fourier Neural Operators Super consistency of neural network landscapes and learning rate transfer

Reference 37

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No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

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Observation ffaaa5b8-dbb0-4b13-8f45-71e45ba06f91 · outbound

This paper cites Gpt-4 technical report, 2023.

Maximal Update Parametrization and Zero-Shot Hyperparameter Transfer for Fourier Neural Operators Gpt-4 technical report, 2023

Reference 38

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source=arxiv_source observed=2026-08-15T18:39:48.416678Z digest=sha256:f106915f3ad869043589de4ada6d7d4ce70705b5b13540ce72f1ff5525cd3164

Observation 3d40a94e-792f-4030-b99c-8a5a1520d11f · outbound

This paper cites On the difficulty of training recurrent neural networks.

Maximal Update Parametrization and Zero-Shot Hyperparameter Transfer for Fourier Neural Operators On the difficulty of training recurrent neural networks

Reference 39

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No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

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Observation f049ca5e-1edd-4414-a02a-cb62d37ed0a2 · outbound

This paper cites Py T orch: An imperative style, high-performance deep learning library.

Maximal Update Parametrization and Zero-Shot Hyperparameter Transfer for Fourier Neural Operators Py T orch: An imperative style, high-performance deep learning library

Reference 40

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No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

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Observation 164843dc-b824-44e2-bfad-4f9441bfbe80 · outbound

This paper cites and Xie, S.

Maximal Update Parametrization and Zero-Shot Hyperparameter Transfer for Fourier Neural Operators and Xie, S

Reference 41

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Observation cd23f720-25b8-4a56-b3fa-06c5ffd2eeee · outbound

This paper cites A., George, R.

Maximal Update Parametrization and Zero-Shot Hyperparameter Transfer for Fourier Neural Operators A., George, R

Reference 42

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No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

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Observation 058cb8af-5ea5-4c58-90f2-fd420c975743 · outbound

This paper cites an unresolved cited work.

Maximal Update Parametrization and Zero-Shot Hyperparameter Transfer for Fourier Neural Operators Unresolved cited work

Reference 43

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Observation 59476254-8c07-496a-bde2-503d7beefee4 · outbound

This paper cites an unresolved cited work.

Maximal Update Parametrization and Zero-Shot Hyperparameter Transfer for Fourier Neural Operators Unresolved cited work

Reference 44

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Observation 4472177c-3f24-4442-af9c-9585fcd5c292 · outbound

This paper cites and Spiliopoulos, K.

Maximal Update Parametrization and Zero-Shot Hyperparameter Transfer for Fourier Neural Operators and Spiliopoulos, K

Reference 45

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No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-15T18:39:48.450527Z digest=sha256:5eac77f702cbac85cd4093a731b422329729db9456ccd4ba5c6c4aca3db47d69

Observation 2591fe44-49b4-4854-b0bc-54fe41031325 · outbound

This paper cites Scaling LLM Test-Time Compute Optimally can be More Effective than Scaling Model Parameters.

Maximal Update Parametrization and Zero-Shot Hyperparameter Transfer for Fourier Neural Operators Scaling LLM Test-Time Compute Optimally can be More Effective than Scaling Model Parameters

Reference 46

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no resolver link, observed 2026-08-15T18:39:48.455050Z

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source=arxiv_source observed=2026-08-15T18:39:48.455050Z digest=sha256:aef5c0bb2e56e387dbdbd3abb1e4b9ae13e78c8f3c47d24d404b070ed8b717d7

Observation f4eea107-d878-4828-b56d-9cea563a96c8 · outbound

This paper cites High-dimensional probability: An introduction with applications in data science, volume 47.

Maximal Update Parametrization and Zero-Shot Hyperparameter Transfer for Fourier Neural Operators High-dimensional probability: An introduction with applications in data science, volume 47

Reference 47

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source=arxiv_source observed=2026-08-15T18:39:48.460230Z digest=sha256:9049c537f20d4a87bb4de17f7a4ab2dca54c3ffb7e3661907e76788860088353

Observation d58031c2-931c-4c43-931c-1816d84f4a70 · outbound

This paper cites Is L^2 physics-informed loss always suitable for training physics-informed neural network? In Advances in Neural Information Processing Systems, 2022.

Maximal Update Parametrization and Zero-Shot Hyperparameter Transfer for Fourier Neural Operators Is L^2 physics-informed loss always suitable for training physics-informed neural network? In Advances in Neural Information Processing Systems, 2022

Reference 48

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No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-15T18:39:48.464748Z digest=sha256:d7e94c93cbffc87f2bbcaa1fcbbf3d3bfa06dcce221c9d9cd5ec6289f85c1900

Observation 5aa66ef5-d60d-41e4-8661-01dc10a921f0 · outbound

This paper cites Coarse Graining with Neural Operators for Simulating Chaotic Systems.

Maximal Update Parametrization and Zero-Shot Hyperparameter Transfer for Fourier Neural Operators Coarse Graining with Neural Operators for Simulating Chaotic Systems

Reference 49

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source=arxiv_source observed=2026-08-15T18:39:48.469255Z digest=sha256:7d4ee1d129a77a2d18ae62a763db865f7d5d6099641375778d9d5c2c16ebb5ba

Observation caa70145-b295-4850-882a-5d5c7e16afef · outbound

This paper cites Inference Scaling Laws: An Empirical Analysis of Compute-Optimal Inference for Problem-Solving with Language Models.

Maximal Update Parametrization and Zero-Shot Hyperparameter Transfer for Fourier Neural Operators Inference Scaling Laws: An Empirical Analysis of Compute-Optimal Inference for Problem-Solving with Language Models

Reference 50

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no resolver link, observed 2026-08-15T18:39:48.474681Z

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source=arxiv_source observed=2026-08-15T18:39:48.474681Z digest=sha256:0cd62f050c0b436ab268980e4b1e4b527d5a43aced5b0fefa73496db78b4b893

Observation 72a991f9-6d5a-41c0-9e6e-a84d7cdb54c0 · outbound

This paper cites and Hu, E.

Maximal Update Parametrization and Zero-Shot Hyperparameter Transfer for Fourier Neural Operators and Hu, E

Reference 51

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-15T18:39:48.479650Z digest=sha256:9eb73432c36d33944682778312dfcc296d6956182f4bda096f490de5ba3187e0

Observation 5cbba771-d5f1-4a45-947a-98ab5715c760 · outbound

This paper cites Tensor Programs V: Tuning Large Neural Networks via Zero-Shot Hyperparameter Transfer.

Maximal Update Parametrization and Zero-Shot Hyperparameter Transfer for Fourier Neural Operators Tensor Programs V: Tuning Large Neural Networks via Zero-Shot Hyperparameter Transfer

Reference 52

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no resolver link, observed 2026-08-15T18:39:48.483926Z

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source=arxiv_source observed=2026-08-15T18:39:48.483926Z digest=sha256:0eda00adfbcacd807d4c7fe61c51cdc0403a9d075772b71862d4c24c20b787fb

Observation 2f1f2781-7fe7-4493-ac68-a857bd583554 · outbound

This paper cites Tensor programs VI : Feature learning in infinite depth neural networks.

Maximal Update Parametrization and Zero-Shot Hyperparameter Transfer for Fourier Neural Operators Tensor programs VI : Feature learning in infinite depth neural networks

Reference 53

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no resolver link, observed 2026-08-15T18:39:48.488583Z

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source=arxiv_source observed=2026-08-15T18:39:48.488583Z digest=sha256:bf82d7cbed1d88b08f783a2de7a4423bc22e5b239a0def84bd23e2f55efa306c

Observation 31d75605-6b2d-4dd9-b1b9-b3ed9d68b90e · outbound

This paper cites Pdeformer: Towards a foundation model for one-dimensional partial differential equations.

Maximal Update Parametrization and Zero-Shot Hyperparameter Transfer for Fourier Neural Operators Pdeformer: Towards a foundation model for one-dimensional partial differential equations

Reference 54

Resolution
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raw_fallback, observed 2026-08-15T18:39:49.054470Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-15T18:39:48.492883Z digest=sha256:00d316f0bf029fd4f987439179329e7ed2c0e325ec1c55f3af110a7f6306e472

Observation 90d8d3da-c749-4c1c-9466-5fde15666449 · outbound

This paper cites Scaling Autoregressive Models for Content-Rich Text-to-Image Generation.

Maximal Update Parametrization and Zero-Shot Hyperparameter Transfer for Fourier Neural Operators Scaling Autoregressive Models for Content-Rich Text-to-Image Generation

Reference 55

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no resolver link, observed 2026-08-15T18:39:48.497883Z

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source=arxiv_source observed=2026-08-15T18:39:48.497883Z digest=sha256:be14b7f8fb709bce3d4175cc2de41d8c4011f7633eff242256a7203e1291d275

Observation 7f5e98f3-72e0-4c9d-bb4f-04a19ee116cc · outbound

This paper cites Weak adversarial networks for high-dimensional partial differential equations.

Maximal Update Parametrization and Zero-Shot Hyperparameter Transfer for Fourier Neural Operators Weak adversarial networks for high-dimensional partial differential equations

Reference 56

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verified fuzzy
raw_fallback, observed 2026-08-15T18:39:49.039414Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-15T18:39:48.502591Z digest=sha256:7a1e8ec1f6e1c93df753f3e10c7f12eac1764def67dcdb6576a710b7a2b84888

Pith citing papers

No inbound Pith citation observations are available.