Paper Citation Record · LEDGER

Factorized Fourier Neural Operators

As of 9 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 36 inbound Pith citation observations for arXiv:2111.13802.

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

pith.paper-citation-record.v1
2111.13802 v4

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measured 36 of 36 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+00:00

measured 36 of 36 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-09T18:09:06.159147Z

measured 1 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-08-05T02:28:24.338817Z

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External citation measurements

9
arxiv_reference, observed 2026-08-05T02:28:24.338817Z

Outbound references

No outbound reference observations are available for this paper version.

Pith citing papers

Observation b4bd3570-ee9e-4fb1-bb91-df6b507bbcb1 · inbound

Optimization for Neural Operators can Benefit from Width cites this paper.

Optimization for Neural Operators can Benefit from Width Factorized Fourier Neural Operators

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-09T18:09:06.159147Z

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Observation 0a457367-8444-495a-8fd7-e0effd0dbbe5 · inbound

Latent Mamba Operator for Partial Differential Equations cites this paper.

Latent Mamba Operator for Partial Differential Equations Factorized Fourier Neural Operators

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-07T14:24:44.108169Z

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Observation 4656fde8-2ee3-4016-817a-8acebc3d8642 · inbound

BlastOFormer: Attention and Neural Operator Deep Learning Methods for Explosive Blast Prediction cites this paper.

BlastOFormer: Attention and Neural Operator Deep Learning Methods for Explosive Blast Prediction Factorized Fourier Neural Operators

Reference 34

Resolution: unresolved; no resolver link, observed 2026-08-07T13:58:19.398113Z

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Observation 6e19cbda-fd9c-458c-88bc-5277e55e25d8 · inbound

FourierFlow: Frequency-aware Flow Matching for Generative Turbulence Modeling cites this paper.

FourierFlow: Frequency-aware Flow Matching for Generative Turbulence Modeling Factorized Fourier Neural Operators

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-07T12:02:19.797823Z

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Observation 2a4d3695-2367-402d-b4f6-ef14d53a900b · 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 Factorized Fourier Neural Operators

Reference 50

Resolution: unresolved; no resolver link, observed 2026-08-07T06:05:53.431778Z

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Observation 354a0c76-e7da-40ec-8d3e-b3d9e119f5aa · inbound

Accelerating PDE-Constrained Optimization by the Derivative of Neural Operators cites this paper.

Accelerating PDE-Constrained Optimization by the Derivative of Neural Operators Factorized Fourier Neural Operators

Reference 1987

Resolution: unresolved; no resolver link, observed 2026-08-07T00:41:09.771304Z

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Observation 5b025abb-71a4-44c6-92b5-aea03d814f69 · inbound

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

A Neural Operator based on Dynamic Mode Decomposition Factorized Fourier Neural Operators

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-06T21:08:15.030139Z

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Observation fe846525-b020-4168-9fae-44ccdbc66349 · inbound

Toward Intelligent Electronic-Photonic Design Automation for Large-Scale Photonic Integrated Circuits: from Device Inverse Design to Physical Layout Generation cites this paper.

Toward Intelligent Electronic-Photonic Design Automation for Large-Scale Photonic Integrated Circuits: from Device Inverse Design to Physical Layout Generation Factorized Fourier Neural Operators

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-06T11:54:56.877156Z

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Observation 2574111f-2b36-469d-80cd-1f2213aa1c97 · inbound

Generative Latent Space Dynamics of Electron Density cites this paper.

Generative Latent Space Dynamics of Electron Density Factorized Fourier Neural Operators

Reference 46

Resolution: unresolved; no resolver link, observed 2026-08-05T14:00:10.478711Z

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Observation b484eab5-e98a-4797-bb9f-8aa41a0978ce · inbound

Deep Learning for Subspace Regression cites this paper.

Deep Learning for Subspace Regression Factorized Fourier Neural Operators

Reference 31

Resolution: verified exact; arxiv_id, observed 2026-05-18T12:11:21.876862Z

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

Observation f53818ee-739d-4ee2-9cce-7963055a4581 · inbound

Deep Gaussian Processes for Functional Maps cites this paper.

Deep Gaussian Processes for Functional Maps Factorized Fourier Neural Operators

Reference 10

Resolution: verified exact; arxiv_id, observed 2026-05-18T04:05:50.872412Z

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Observation 58acb7a9-7328-4bd7-9ed4-230208a8cf6f · inbound

Walsh-Hadamard Neural Operators for Solving PDEs with Discontinuous Coefficients cites this paper.

Walsh-Hadamard Neural Operators for Solving PDEs with Discontinuous Coefficients Factorized Fourier Neural Operators

Reference 6

Resolution: verified exact; arxiv_id, observed 2026-05-21T19:20:30.970188Z

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

Observation 27ca7af2-5645-40b5-9ddd-5a5e446c9c91 · inbound

Global Plane Waves From Local Gaussians: Periodic Charge Densities in a Blink cites this paper.

Global Plane Waves From Local Gaussians: Periodic Charge Densities in a Blink Factorized Fourier Neural Operators

Reference 2018

Resolution: unresolved; no resolver link, observed 2026-08-03T07:36:29.691740Z

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Observation f1f0bfba-3f04-4924-aca7-097911875ac0 · inbound

Simple yet Effective: Low-Rank Spatial Attention for Neural Operators cites this paper.

Simple yet Effective: Low-Rank Spatial Attention for Neural Operators Factorized Fourier Neural Operators

Reference 1

Resolution: verified exact; arxiv_id, observed 2026-05-13T18:33:06.879624Z

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Observation 2a564298-cbdb-4406-92f2-dffd4b5fb6a3 · inbound

A neural operator framework for data-driven discovery of stability and receptivity in physical systems cites this paper.

A neural operator framework for data-driven discovery of stability and receptivity in physical systems Factorized Fourier Neural Operators

Reference 39

Resolution: verified exact; arxiv_id, observed 2026-05-11T13:36:07.575519Z

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Observation e83d5fc9-8981-4cb4-949e-c6277236117e · inbound

Large-eddy simulation nets (LESnets) based on physics-informed neural operator for wall-bounded turbulence cites this paper.

Large-eddy simulation nets (LESnets) based on physics-informed neural operator for wall-bounded turbulence Factorized Fourier Neural Operators

Reference 47

Resolution: verified exact; arxiv_id, observed 2026-05-09T04:00:13.220414Z

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

Observation 5a239011-4e70-4b10-9be7-19300a3029c1 · inbound

Hybrid Fourier Neural Operator-Lattice Boltzmann Method cites this paper.

Hybrid Fourier Neural Operator-Lattice Boltzmann Method Factorized Fourier Neural Operators

Reference 13

Resolution: verified exact; arxiv_id, observed 2026-05-12T10:01:29.204501Z

Source-reported events for the cited work

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

Observation 3e3e9566-2fe5-4da0-a6fe-7be9a5666efe · inbound

RETO: A Rotary-Enhanced Transformer Operator for High-Fidelity Prediction of Automotive Aerodynamics cites this paper.

RETO: A Rotary-Enhanced Transformer Operator for High-Fidelity Prediction of Automotive Aerodynamics Factorized Fourier Neural Operators

Reference 7

Resolution: verified exact; arxiv_id, observed 2026-05-11T15:11:04.344379Z

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Observation 1886f927-4946-4dc2-9135-456c5cab42ea · inbound

Isotropic Fourier Neural Operators cites this paper.

Isotropic Fourier Neural Operators Factorized Fourier Neural Operators

Reference 16

Resolution: verified exact; arxiv_id, observed 2026-05-09T06:25:46.042281Z

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

Observation 3dddad7b-b70a-486c-8393-3f37c4201b95 · inbound

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

CATO: Charted Attention for Neural PDE Operators Factorized Fourier Neural Operators

Reference 25

Resolution: verified exact; arxiv_id, observed 2026-05-12T01:56:15.038260Z

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

Observation 74c2949e-b05d-4179-ba18-4cb768e753fa · inbound

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

Stable Long-Horizon PDE Forecasting via Latent Structured Spectral Propagators Factorized Fourier Neural Operators

Reference 27

Resolution: verified exact; arxiv_id, observed 2026-05-12T03:26:19.794744Z

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Observation 6aaf6ef9-5ced-4c73-a770-06deb7efc168 · 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 Factorized Fourier Neural Operators

Reference 28

Resolution: verified exact; arxiv_id, observed 2026-05-14T20:39:28.942066Z

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Observation 1062ea46-6bb5-4658-9124-76cb0ebf672d · inbound

Discovering Physical Directions in Weight Space: Composing Neural PDE Experts cites this paper.

Discovering Physical Directions in Weight Space: Composing Neural PDE Experts Factorized Fourier Neural Operators

Reference 46

Resolution: verified exact; arxiv_id, observed 2026-05-15T02:08:29.794733Z

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Observation a125185a-9666-426c-b7c2-9d7c4140888b · inbound

WLNO: Wavelet-Laplace Neural Operator for Solving Partial Differential Equations cites this paper.

WLNO: Wavelet-Laplace Neural Operator for Solving Partial Differential Equations Factorized Fourier Neural Operators

Reference 24

Resolution: verified exact; arxiv_id, observed 2026-06-30T15:04:46.410385Z

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

Observation 1b7f1fc1-ea0d-4ff2-9d61-7a5a78b4f2e8 · inbound

Graph Mamba Operator: A Latent Simulator for Interacting Particle Systems cites this paper.

Graph Mamba Operator: A Latent Simulator for Interacting Particle Systems Factorized Fourier Neural Operators

Reference 117

Resolution: metadata mismatch; arxiv_id, observed 2026-07-03T00:37:29.911798Z

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Observation eddaa793-616b-4e61-9ca3-9910adf69f17 · 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 Factorized Fourier Neural Operators

Reference 7

Resolution: verified exact; arxiv_id, observed 2026-07-03T10:17:57.363305Z

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Observation 1a7213f2-95c1-4437-8c83-4186e2d60856 · inbound

Structure-Informed Neural Operators for Long-Time Prediction of Parametric Hamiltonian PDEs cites this paper.

Structure-Informed Neural Operators for Long-Time Prediction of Parametric Hamiltonian PDEs Factorized Fourier Neural Operators

Reference 36

Resolution: verified exact; arxiv_id, observed 2026-07-03T17:08:43.990139Z

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

Observation 1d1985ce-62ea-4b5b-8f38-2509d44462d1 · inbound

Structure-Informed Neural Operators for Long-Time Prediction of Parametric Hamiltonian PDEs cites this paper.

Structure-Informed Neural Operators for Long-Time Prediction of Parametric Hamiltonian PDEs Factorized Fourier Neural Operators

Reference 36

Resolution: unresolved; no resolver link, observed 2026-08-02T11:29:13.090156Z

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Observation f5094bbe-2bd2-4c21-9819-f8a6d24f47d4 · 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 Factorized Fourier Neural Operators

Reference 30

Resolution: metadata mismatch; arxiv_id, observed 2026-07-01T10:15:44.175775Z

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

Observation a8071bc6-df28-422c-9d4e-94ad764da569 · inbound

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

GAIA: Geometry-Adaptive Operator Learning for Forward and Inverse Problems Factorized Fourier Neural Operators

Reference 21

Resolution: verified exact; arxiv_id, observed 2026-07-02T15:37:05.868492Z

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

Observation 5d0587cd-3754-4990-9011-a301f09d0c3e · inbound

LLT: Local Linear Transformer for PDE Operator Learning cites this paper.

LLT: Local Linear Transformer for PDE Operator Learning Factorized Fourier Neural Operators

Reference 57

Resolution: unresolved; no resolver link, observed 2026-07-11T23:44:26.734234Z

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Observation 80bd43c4-2167-489a-8e67-cb7892ef261d · inbound

DRIFT: Direct Reduced Fourier Transforms for Distributed Spectral Neural Operators cites this paper.

DRIFT: Direct Reduced Fourier Transforms for Distributed Spectral Neural Operators Factorized Fourier Neural Operators

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-02T02:17:08.015229Z

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Observation 87415c3d-8869-46c4-b8ef-7fd6e00b1261 · inbound

Adaptive Mamba Neural Operators cites this paper.

Adaptive Mamba Neural Operators Factorized Fourier Neural Operators

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-01T16:25:00.636587Z

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Observation 3977b05f-3351-4390-b88e-96f1eea456b6 · inbound

Neptuna: A Comprehensive Machine Learning Framework for Benchmarking Complex Multiphase Flows cites this paper.

Neptuna: A Comprehensive Machine Learning Framework for Benchmarking Complex Multiphase Flows Factorized Fourier Neural Operators

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-01T05:17:58.087005Z

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Observation e424d0e4-4e45-4080-8b81-ad61e71d2187 · inbound

Physics-Informed Neural Operator for Warm-Starting Background-Decomposed and Preconditioned PSFD: Enabling Scalable 3-D EUV Mask Simulation cites this paper.

Physics-Informed Neural Operator for Warm-Starting Background-Decomposed and Preconditioned PSFD: Enabling Scalable 3-D EUV Mask Simulation Factorized Fourier Neural Operators

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-01T02:50:07.356193Z

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Observation 08fb1214-a57d-4325-bc08-7809d4af7c93 · 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 Factorized Fourier Neural Operators

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-03T00:32:10.709539Z

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