Paper Citation Record · LEDGER

U-NO: U-shaped Neural Operators

As of 11 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 42 inbound Pith citation observations for arXiv:2204.11127.

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pith.paper-citation-record.v1
2204.11127 v3

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measured 42 of 42 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-11T06:34:44.6726+00:00

measured 42 of 42 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-10T19:32:41.800866Z

measured 0 of 1 external citation measurements

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Source: arxiv_reference, observed 2026-07-04T21:00:09.179296Z

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Pith citing papers

Observation 4f866999-a0d3-4ff6-92ef-37f93e75a3e4 · inbound

On understanding and overcoming spectral biases of deep neural network learning methods for solving PDEs cites this paper.

On understanding and overcoming spectral biases of deep neural network learning methods for solving PDEs U-NO: U-shaped Neural Operators

Reference 122

Resolution: unresolved; no resolver link, observed 2026-08-10T19:32:41.800866Z

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Observation fbf3bc19-f6fb-47f2-ad24-765ddf5bd1af · inbound

Generative Adaptation of Dynamics to Environmental Shifts via Weight-space Diffusion cites this paper.

Generative Adaptation of Dynamics to Environmental Shifts via Weight-space Diffusion U-NO: U-shaped Neural Operators

Reference 15

Resolution: verified exact; arxiv_id, observed 2026-05-22T15:01:42.532554Z

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Observation d053a206-dc1e-40ed-a083-402bdc52217e · inbound

Operator Learning for Schr\"{o}dinger Equation: Unitarity, Error Bounds, and Time Generalization cites this paper.

Operator Learning for Schr\"{o}dinger Equation: Unitarity, Error Bounds, and Time Generalization U-NO: U-shaped Neural Operators

Reference 7

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Observation 0df0b72d-dfea-4634-acb8-8a92ca39d482 · inbound

Hierarchical-embedding autoencoder with a predictor (HEAP) as efficient architecture for learning long-term evolution of complex multi-scale physical systems cites this paper.

Hierarchical-embedding autoencoder with a predictor (HEAP) as efficient architecture for learning long-term evolution of complex multi-scale physical systems U-NO: U-shaped Neural Operators

Reference 63

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Observation 14509b35-1ace-4f84-9e52-a5f0f9065637 · inbound

Latent Mamba Operator for Partial Differential Equations cites this paper.

Latent Mamba Operator for Partial Differential Equations U-NO: U-shaped Neural Operators

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-07T14:24:44.086004Z

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Observation 7a011266-34f1-4ecd-8b1c-a017955e961a · inbound

LaDEEP: A Deep Learning-based Surrogate Model for Large Deformation of Elastic-Plastic Solids cites this paper.

LaDEEP: A Deep Learning-based Surrogate Model for Large Deformation of Elastic-Plastic Solids U-NO: U-shaped Neural Operators

Reference 46

Resolution: unresolved; no resolver link, observed 2026-08-07T06:05:53.420684Z

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Observation d4afae23-70d0-4564-b2e3-5aee71094830 · inbound

Principled Approaches for Extending Neural Architectures to Function Spaces for Operator Learning cites this paper.

Principled Approaches for Extending Neural Architectures to Function Spaces for Operator Learning U-NO: U-shaped Neural Operators

Reference 86

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Observation 8305c671-1469-43ae-b438-3191dc3c77b3 · inbound

A Neural Operator based on Dynamic Mode Decomposition cites this paper.

A Neural Operator based on Dynamic Mode Decomposition U-NO: U-shaped Neural Operators

Reference 9

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Observation e8c03153-e41c-45c2-853f-bfcbaabe7b41 · inbound

DPNO: A Dual Path Architecture For Neural Operator cites this paper.

DPNO: A Dual Path Architecture For Neural Operator U-NO: U-shaped Neural Operators

Reference 20

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Observation a6bcf117-1daf-4eea-a34e-ee42d37f9169 · inbound

Modeling turbulent and self-gravitating fluids with Fourier neural operators cites this paper.

Modeling turbulent and self-gravitating fluids with Fourier neural operators U-NO: U-shaped Neural Operators

Reference 45

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Observation aaa3d6b3-9c2e-447f-93ba-21f86e1de685 · inbound

GFocal: A Global-Focal Neural Operator for Solving PDEs on Arbitrary Geometries cites this paper.

GFocal: A Global-Focal Neural Operator for Solving PDEs on Arbitrary Geometries U-NO: U-shaped Neural Operators

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-06T00:03:04.124429Z

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Observation dae1c3de-0655-40ff-85ff-f5e3ed05f594 · inbound

Differentiable Autoencoding Neural Operator for Interpretable and Integrable Latent Space Modeling cites this paper.

Differentiable Autoencoding Neural Operator for Interpretable and Integrable Latent Space Modeling U-NO: U-shaped Neural Operators

Reference 42

Resolution: verified exact; arxiv_id, observed 2026-05-18T11:26:18.495642Z

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Observation 1d116a47-8056-436b-831a-2344ea74c86e · inbound

A Simple but Efficient Transformer-Based Physics-Informed Neural Network for Incompressible Navier--Stokes Equations cites this paper.

A Simple but Efficient Transformer-Based Physics-Informed Neural Network for Incompressible Navier--Stokes Equations U-NO: U-shaped Neural Operators

Reference 32

Resolution: metadata mismatch; arxiv_id, observed 2026-05-21T17:05:24.264996Z

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Observation d4f56f98-2683-423b-a96b-a3a6b0d268c7 · inbound

Multi-Scale Wavelet Transformers for Operator Learning of Dynamical Systems cites this paper.

Multi-Scale Wavelet Transformers for Operator Learning of Dynamical Systems U-NO: U-shaped Neural Operators

Reference 9

Resolution: verified exact; arxiv_id, observed 2026-05-16T08:22:36.058491Z

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Observation a81af6aa-2416-4290-829b-093cddf05725 · inbound

MENO: MeanFlow-Enhanced Neural Operators for Dynamical Systems cites this paper.

MENO: MeanFlow-Enhanced Neural Operators for Dynamical Systems U-NO: U-shaped Neural Operators

Reference 13

Resolution: verified exact; arxiv_id, observed 2026-05-11T00:20:51.377786Z

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Observation 7c6cab63-b651-4d5b-9d31-08e753ef6058 · inbound

SPAMoE: Spectrum-Aware Hybrid Operator Framework for Full-Waveform Inversion cites this paper.

SPAMoE: Spectrum-Aware Hybrid Operator Framework for Full-Waveform Inversion U-NO: U-shaped Neural Operators

Reference 14

Resolution: metadata mismatch; arxiv_id, observed 2026-05-11T06:31:00.816236Z

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Observation 3fa700bd-1fd2-4443-b3e4-ad1d5fe63672 · inbound

SPAMoE: Spectrum-Aware Hybrid Operator Framework for Full-Waveform Inversion cites this paper.

SPAMoE: Spectrum-Aware Hybrid Operator Framework for Full-Waveform Inversion U-NO: U-shaped Neural Operators

Reference 14

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Observation ccbad321-e58e-4ddb-8887-0505f474ae52 · inbound

PerFlow: Physics-Embedded Rectified Flow for Efficient Reconstruction and Uncertainty Quantification of Spatiotemporal Dynamics cites this paper.

PerFlow: Physics-Embedded Rectified Flow for Efficient Reconstruction and Uncertainty Quantification of Spatiotemporal Dynamics U-NO: U-shaped Neural Operators

Reference 19

Resolution: metadata mismatch; arxiv_id, observed 2026-05-11T23:26:16.404905Z

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Observation 13181060-a834-4cb0-aac4-06418ea9bd83 · inbound

PerFlow: Physics-Embedded Rectified Flow for Efficient Reconstruction and Uncertainty Quantification of Spatiotemporal Dynamics cites this paper.

PerFlow: Physics-Embedded Rectified Flow for Efficient Reconstruction and Uncertainty Quantification of Spatiotemporal Dynamics U-NO: U-shaped Neural Operators

Reference 21

Resolution: metadata mismatch; arxiv_id, observed 2026-05-19T16:52:39.790166Z

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Observation c47795ec-9ac8-4205-87c5-e8394073d40f · inbound

Deep Wave Network for Modeling Multi-Scale Physical Dynamics cites this paper.

Deep Wave Network for Modeling Multi-Scale Physical Dynamics U-NO: U-shaped Neural Operators

Reference 43

Resolution: metadata mismatch; arxiv_id, observed 2026-05-11T17:31:04.874291Z

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Observation 087517d4-0e2f-44f0-ac84-cc0fcf7d180d · inbound

Autoregressive One-Step Generative Modeling for Dynamical System Forecasting cites this paper.

Autoregressive One-Step Generative Modeling for Dynamical System Forecasting U-NO: U-shaped Neural Operators

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-02T14:48:32.841925Z

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Observation c374dbcb-6360-46fe-870c-544b3aead149 · inbound

Physics-Informed Neural PDE Solvers via Spatio-Temporal MeanFlow cites this paper.

Physics-Informed Neural PDE Solvers via Spatio-Temporal MeanFlow U-NO: U-shaped Neural Operators

Reference 69

Resolution: verified exact; arxiv_id, observed 2026-05-12T06:51:28.352937Z

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Observation 1bba397f-5500-4423-84e0-a464273c2e4f · inbound

CATO: Charted Attention for Neural PDE Operators cites this paper.

CATO: Charted Attention for Neural PDE Operators U-NO: U-shaped Neural Operators

Reference 23

Resolution: metadata mismatch; arxiv_id, observed 2026-05-12T01:56:15.042309Z

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Observation f882db38-723b-4435-af06-74b76ad22327 · inbound

HS-FNO: History-Space Fourier Neural Operator for Non-Markovian Partial Differential Equations cites this paper.

HS-FNO: History-Space Fourier Neural Operator for Non-Markovian Partial Differential Equations U-NO: U-shaped Neural Operators

Reference 31

Resolution: verified exact; arxiv_id, observed 2026-05-12T07:16:30.498564Z

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Observation 8c590447-2772-4d34-800d-f982134a1c8e · inbound

HS-FNO: History-Space Fourier Neural Operator for Non-Markovian Partial Differential Equations cites this paper.

HS-FNO: History-Space Fourier Neural Operator for Non-Markovian Partial Differential Equations U-NO: U-shaped Neural Operators

Reference 35

Resolution: metadata mismatch; arxiv_id, observed 2026-05-13T07:12:28.222564Z

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Observation 6808aca5-65d8-4ed4-a274-1bd9ce07729c · inbound

Stable Long-Horizon PDE Forecasting via Latent Structured Spectral Propagators cites this paper.

Stable Long-Horizon PDE Forecasting via Latent Structured Spectral Propagators U-NO: U-shaped Neural Operators

Reference 26

Resolution: metadata mismatch; arxiv_id, observed 2026-05-12T03:26:19.746069Z

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Observation cf453b50-d6d5-42f4-9677-9152d6b83752 · inbound

U-HNO: A U-shaped Hybrid Neural Operator with Sparse-Point Adaptive Routing for Non-stationary PDE Dynamics cites this paper.

U-HNO: A U-shaped Hybrid Neural Operator with Sparse-Point Adaptive Routing for Non-stationary PDE Dynamics U-NO: U-shaped Neural Operators

Reference 21

Resolution: metadata mismatch; arxiv_id, observed 2026-05-14T20:39:28.993384Z

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Observation f2a3583c-d134-4c83-8d2c-da5c0aaaaec8 · inbound

IKNO: Infinite-order Kernel Neural Operators cites this paper.

IKNO: Infinite-order Kernel Neural Operators U-NO: U-shaped Neural Operators

Reference 8

Resolution: verified exact; arxiv_id, observed 2026-05-22T07:46:14.948971Z

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Observation 89625394-733f-4806-b95c-3990ae7b7fd3 · inbound

Autoregression-Free Neural Operators for Time-Dependent PDEs cites this paper.

Autoregression-Free Neural Operators for Time-Dependent PDEs U-NO: U-shaped Neural Operators

Reference 57

Resolution: metadata mismatch; arxiv_id, observed 2026-06-29T22:24:00.534677Z

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Observation 3619c1e7-d3c9-4ed7-975c-90c481ed9a4e · inbound

On the training of physics-informed neural operators for solving parametric partial differential equations cites this paper.

On the training of physics-informed neural operators for solving parametric partial differential equations U-NO: U-shaped Neural Operators

Reference 23

Resolution: metadata mismatch; arxiv_id, observed 2026-07-02T11:36:55.260698Z

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Observation c1d6ed3e-66d2-485d-a4da-fb539af53ada · inbound

HAMNO: A Hierarchical Adaptive Multi-scale Neural Operator with Physics-Informed Learning for Dynamical Systems cites this paper.

HAMNO: A Hierarchical Adaptive Multi-scale Neural Operator with Physics-Informed Learning for Dynamical Systems U-NO: U-shaped Neural Operators

Reference 17

Resolution: verified exact; arxiv_id, observed 2026-07-03T10:17:57.365798Z

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Observation 5bca04eb-836b-4376-bd99-829773e15191 · inbound

Principal-Part Decomposition for Neural Operator Learning of Dirichlet-to-Neumann Maps cites this paper.

Principal-Part Decomposition for Neural Operator Learning of Dirichlet-to-Neumann Maps U-NO: U-shaped Neural Operators

Reference 3

Resolution: metadata mismatch; arxiv_id, observed 2026-07-04T21:00:09.180713Z

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Observation 8514cbd9-2be6-447e-8761-80a3d201cc74 · inbound

Higher-Order Fourier Neural Operator: Explicit Mode Mixer for Nonlinear PDEs cites this paper.

Higher-Order Fourier Neural Operator: Explicit Mode Mixer for Nonlinear PDEs U-NO: U-shaped Neural Operators

Reference 37

Resolution: metadata mismatch; arxiv_id, observed 2026-07-01T18:45:58.237013Z

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Observation 7b8f72aa-969b-45e2-baa8-5ac009a2cab4 · inbound

McMg: A Learned Phase-Space Multi-channel Multigrid Preconditioner for Helmholtz Equation cites this paper.

McMg: A Learned Phase-Space Multi-channel Multigrid Preconditioner for Helmholtz Equation U-NO: U-shaped Neural Operators

Reference 30

Resolution: metadata mismatch; arxiv_id, observed 2026-06-30T16:24:57.792759Z

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Observation df9a6e78-e7b0-407d-a141-880c6e0cce25 · inbound

McMg: A Learned Phase-Space Multi-channel Multigrid Preconditioner for Helmholtz Equation cites this paper.

McMg: A Learned Phase-Space Multi-channel Multigrid Preconditioner for Helmholtz Equation U-NO: U-shaped Neural Operators

Reference 30

Resolution: metadata mismatch; arxiv_id, observed 2026-07-03T22:39:01.229321Z

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Observation 6836f29f-d25f-459b-8187-efa082ace54d · inbound

Temperature Field Reconstruction of Tungsten Monoblock Divertor on EAST using Physics-aware Neural Operator Transformer cites this paper.

Temperature Field Reconstruction of Tungsten Monoblock Divertor on EAST using Physics-aware Neural Operator Transformer U-NO: U-shaped Neural Operators

Reference 25

Resolution: metadata mismatch; arxiv_id, observed 2026-07-01T10:15:44.184972Z

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Observation 791f3916-2145-4c5a-8d9e-ef02a4cc7b27 · inbound

GAIA: Geometry-Adaptive Operator Learning for Forward and Inverse Problems cites this paper.

GAIA: Geometry-Adaptive Operator Learning for Forward and Inverse Problems U-NO: U-shaped Neural Operators

Reference 22

Resolution: metadata mismatch; arxiv_id, observed 2026-07-02T15:37:05.876649Z

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Observation 0d8c0b5c-951a-4ba7-95dd-fc59e8dbaef6 · inbound

Adaptive Mamba Neural Operators cites this paper.

Adaptive Mamba Neural Operators U-NO: U-shaped Neural Operators

Reference 2012

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Observation fc152d7d-1279-4cb9-b8f6-367f35098db8 · inbound

No Free Lunch in Flow Surrogates under Time-Varying Boundary Conditions: A Two-Regime Study cites this paper.

No Free Lunch in Flow Surrogates under Time-Varying Boundary Conditions: A Two-Regime Study U-NO: U-shaped Neural Operators

Reference 28

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Observation bebdc4d4-0d46-40e3-a2b4-1be2e2fd9f43 · inbound

Feature Interaction Modeling for Physics-Informed Neural Networks and Neural Operators cites this paper.

Feature Interaction Modeling for Physics-Informed Neural Networks and Neural Operators U-NO: U-shaped Neural Operators

Reference 8

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Observation f2f2bc98-44a2-4344-ba4e-ff643f912ff3 · inbound

Identifiability-Aware Source Apportionment in City-Scale Advection-Diffusion Systems cites this paper.

Identifiability-Aware Source Apportionment in City-Scale Advection-Diffusion Systems U-NO: U-shaped Neural Operators

Reference 70

Resolution: unresolved; no resolver link, observed 2026-08-04T01:37:39.899175Z

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Observation 4d766850-37c2-4755-836e-043dc8ad912e · inbound

Improving Auto-Design of Neural PDE Solvers with a Domain-Specific Language cites this paper.

Improving Auto-Design of Neural PDE Solvers with a Domain-Specific Language U-NO: U-shaped Neural Operators

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-08T18:36:27.326570Z

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