Paper Citation Record · LEDGER

Fourier Neural Operator for Parametric Partial Differential Equations

As of 11 August 2026, this Paper Citation Record lists 18 of 18 outbound references and 100 inbound Pith citation observations for arXiv:2010.08895.

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

pith.paper-citation-record.v1
2010.08895 v3

Coverage vector

measured 18 of 18 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-05-11T00:59:03.451352Z

measured 118 of 118 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-10T06:31:04.303077+00:00

measured 100 of 529 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-11T00:09:09.741739Z

measured 1 of 1 external citation measurements

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

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

Reference resolution

18 of 18 outbound references displayed

verified exact7
verified fuzzy4
unresolved2
parse uncertain0
malformed identifier0
metadata mismatch5

External citation measurements

200
pith, observed 2026-08-05T02:28:24.338817Z

Outbound references

Observation ea6baa06-22e5-4a8d-be71-7b17693fe86f · outbound

This paper cites Solving ill-posed inverse problems using iterative deep neural networks.

Fourier Neural Operator for Parametric Partial Differential Equations Solving ill-posed inverse problems using iterative deep neural networks

Reference 1

Resolution: metadata mismatch; doi, observed 2026-05-11T00:59:03.480510Z

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Observation dd5910cf-4e18-4b3e-8a99-a38f4d8ce626 · outbound

This paper cites doi: 10.1214/13-sts421.

Fourier Neural Operator for Parametric Partial Differential Equations doi: 10.1214/13-sts421

Reference 2

Resolution: verified exact; doi, observed 2026-05-11T00:59:03.475577Z

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Observation 99178002-fb43-4bf1-a378-690ff8a16c3a · outbound

This paper cites DeVore , title =.

Fourier Neural Operator for Parametric Partial Differential Equations DeVore , title =

Reference 3

Resolution: metadata mismatch; doi, observed 2026-05-11T00:59:03.484646Z

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Observation 2f906deb-985e-4303-b400-cbd6613d8728 · outbound

This paper cites The Deep Ritz Method: A Deep Learning-Based Numerical Algo- rithm for Solving Variational Problems.

Fourier Neural Operator for Parametric Partial Differential Equations The Deep Ritz Method: A Deep Learning-Based Numerical Algo- rithm for Solving Variational Problems

Reference 4

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Observation ee68bed4-9c16-4089-9cc9-cbcf7ff14a0e · outbound

This paper cites Deep residual learning for image recog- nition.

Fourier Neural Operator for Parametric Partial Differential Equations Deep residual learning for image recog- nition

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-05-11T00:59:03.563094Z

Source-reported events for the cited work

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Observation df9ca15a-66a4-48c4-8e5c-056bafe3feb2 · outbound

This paper cites MeshfreeFlowNet: A Physics-Constrained Deep Continuous Space-Time Super-Resolution Framework.

Fourier Neural Operator for Parametric Partial Differential Equations MeshfreeFlowNet: A Physics-Constrained Deep Continuous Space-Time Super-Resolution Framework

Reference 6

Resolution: verified exact; arxiv_id, observed 2026-05-11T00:59:03.517000Z

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Observation 6a51b8d3-081b-4896-9504-4207fb5f0fcf · outbound

This paper cites Enforcing physical constraints in cnns through differen- tiable pde layer.

Fourier Neural Operator for Parametric Partial Differential Equations Enforcing physical constraints in cnns through differen- tiable pde layer

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-05-11T00:59:03.576438Z

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Observation ffab8a62-ddf6-42e0-a3a2-b09446ed3c1a · outbound

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

Fourier Neural Operator for Parametric Partial Differential Equations Solving parametric PDE problems with artificial neural networks

Reference 8

Resolution: verified exact; arxiv_id, observed 2026-06-04T19:10:49.716818Z

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Observation 926aacf4-9358-4f77-9799-386010bd9886 · outbound

This paper cites Machine learning accelerated computational fluid dynamics.

Fourier Neural Operator for Parametric Partial Differential Equations Machine learning accelerated computational fluid dynamics

Reference 9

Resolution: metadata mismatch; arxiv_id, observed 2026-05-11T00:59:03.529715Z

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Observation 5281e162-d624-4bd9-bb00-cd0d02402545 · outbound

This paper cites Neural Operator: Graph Kernel Network for Partial Differential Equations.

Fourier Neural Operator for Parametric Partial Differential Equations Neural Operator: Graph Kernel Network for Partial Differential Equations

Reference 10

Resolution: verified exact; arxiv_id, observed 2026-05-14T22:17:49.535762Z

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Observation e2a06f7d-e740-4d4a-9545-6c7960ca18a6 · outbound

This paper cites The Random Feature Model for Input-Output Maps between Banach Spaces.

Fourier Neural Operator for Parametric Partial Differential Equations The Random Feature Model for Input-Output Maps between Banach Spaces

Reference 11

Resolution: verified exact; arxiv_id, observed 2026-05-11T00:59:03.535507Z

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Observation 5e9fabc0-724f-435a-8f1b-e0a9d7f82c5a · outbound

This paper cites Implicit Neural Representations with Periodic Activation Functions.

Fourier Neural Operator for Parametric Partial Differential Equations Implicit Neural Representations with Periodic Activation Functions

Reference 12

Resolution: metadata mismatch; arxiv_id, observed 2026-05-11T00:59:03.541801Z

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Observation 5e0c6157-68a2-4f89-b223-25e42f0c6ab9 · outbound

This paper cites EikoNet: Solving the Eikonal equation with Deep Neural Networks.

Fourier Neural Operator for Parametric Partial Differential Equations EikoNet: Solving the Eikonal equation with Deep Neural Networks

Reference 13

Resolution: verified exact; arxiv_id, observed 2026-05-11T00:59:03.551864Z

Source-reported events for the cited work

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Observation 20ee8270-65b8-4783-912d-87970a0f235b · outbound

This paper cites doi: 10.1016/j.jcp.2018.04.018.

Fourier Neural Operator for Parametric Partial Differential Equations doi: 10.1016/j.jcp.2018.04.018

Reference 14

Resolution: verified exact; doi, observed 2026-05-11T00:59:03.504332Z

Source-reported events for the cited work

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Observation c12d86c6-06de-493e-bc72-bdd575590bda · outbound

This paper cites The y-axis is the spectrum; the x-axis is the wavenumber|k| =k1 +k2.

Fourier Neural Operator for Parametric Partial Differential Equations The y-axis is the spectrum; the x-axis is the wavenumber|k| =k1 +k2

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-05-11T00:59:03.571445Z

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Observation 6c1e5e2c-69b4-45fc-9ade-f8809c0573e6 · outbound

This paper cites The initial condition u0(x) is generated according to u0∼ µ where µ =N (0, 625(−∆ + 25I)−2) with periodic boundary conditions.

Fourier Neural Operator for Parametric Partial Differential Equations The initial condition u0(x) is generated according to u0∼ µ where µ =N (0, 625(−∆ + 25I)−2) with periodic boundary conditions

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-05-11T00:59:03.582485Z

Source-reported events for the cited work

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Observation e42eb749-b09d-4853-90e3-b59e880a6a6f · outbound

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Fourier Neural Operator for Parametric Partial Differential Equations Unresolved cited work

Reference 17

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Observation f6e3502c-f9e8-48a5-b0f0-33f63073f584 · outbound

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Fourier Neural Operator for Parametric Partial Differential Equations Unresolved cited work

Reference 18

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Pith citing papers

Observation 20319698-78fa-4b4e-8b7d-4b077b162e23 · inbound

Generative diffusion learning for parametric partial differential equations cites this paper.

Generative diffusion learning for parametric partial differential equations Fourier Neural Operator for Parametric Partial Differential Equations

Reference 13

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Observation e4cb173f-7046-4a80-b84b-cfed6bd4d837 · inbound

KAN: Kolmogorov-Arnold Networks cites this paper.

KAN: Kolmogorov-Arnold Networks Fourier Neural Operator for Parametric Partial Differential Equations

Reference 102

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Observation c7fa76f6-3f76-4682-8f22-5d5bee336e98 · inbound

Neural Green's Operators for Parametric Partial Differential Equations cites this paper.

Neural Green's Operators for Parametric Partial Differential Equations Fourier Neural Operator for Parametric Partial Differential Equations

Reference 10

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Observation 63f4f3a8-3033-4d73-973f-b5438d52ddcd · inbound

Non-markovian neural quantum propagator and its application to the simulation of ultrafast nonlinear spectra cites this paper.

Non-markovian neural quantum propagator and its application to the simulation of ultrafast nonlinear spectra Fourier Neural Operator for Parametric Partial Differential Equations

Reference 31

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Observation a8989e3e-ef08-4636-9971-18474a5f6b7e · inbound

Learning Hidden Physics and System Parameters with Deep Operator Networks cites this paper.

Learning Hidden Physics and System Parameters with Deep Operator Networks Fourier Neural Operator for Parametric Partial Differential Equations

Reference 21

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TAEN: A Model-Constrained Tikhonov Autoencoder Network for Forward and Inverse Problems cites this paper.

TAEN: A Model-Constrained Tikhonov Autoencoder Network for Forward and Inverse Problems Fourier Neural Operator for Parametric Partial Differential Equations

Reference 49

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Observation 831af05f-f558-4f27-9f6f-b2358f663520 · inbound

Modeling Continuous Spatial-temporal Dynamics of Turbulent Flow with Test-time Refinement cites this paper.

Modeling Continuous Spatial-temporal Dynamics of Turbulent Flow with Test-time Refinement Fourier Neural Operator for Parametric Partial Differential Equations

Reference 39

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DeepF-fNet: a physics-informed neural network for vibration isolation optimization cites this paper.

DeepF-fNet: a physics-informed neural network for vibration isolation optimization Fourier Neural Operator for Parametric Partial Differential Equations

Reference 34

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Observation 8ef4be2e-de16-4e53-9952-67a4efadb983 · inbound

Ultrasound Lung Aeration Map via Physics-Aware Neural Operators cites this paper.

Ultrasound Lung Aeration Map via Physics-Aware Neural Operators Fourier Neural Operator for Parametric Partial Differential Equations

Reference 27

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Fusion-DeepONet: A Data-Efficient Neural Operator for Geometry-Dependent Hypersonic and Supersonic Flows cites this paper.

Fusion-DeepONet: A Data-Efficient Neural Operator for Geometry-Dependent Hypersonic and Supersonic Flows Fourier Neural Operator for Parametric Partial Differential Equations

Reference 16

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TensorGRaD: Tensor Gradient Robust Decomposition for Memory-Efficient Neural Operator Training cites this paper.

TensorGRaD: Tensor Gradient Robust Decomposition for Memory-Efficient Neural Operator Training Fourier Neural Operator for Parametric Partial Differential Equations

Reference 28

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Approximation Rates in Fr\'echet Metrics: Barron Spaces, Paley-Wiener Spaces, and Fourier Multipliers cites this paper.

Approximation Rates in Fr\'echet Metrics: Barron Spaces, Paley-Wiener Spaces, and Fourier Multipliers Fourier Neural Operator for Parametric Partial Differential Equations

Reference 41

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Simultaneous emulation and downscaling with physically-consistent deep learning-based regional ocean emulators cites this paper.

Simultaneous emulation and downscaling with physically-consistent deep learning-based regional ocean emulators Fourier Neural Operator for Parametric Partial Differential Equations

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Data-Driven Radio Propagation Modeling using Graph Neural Networks cites this paper.

Data-Driven Radio Propagation Modeling using Graph Neural Networks Fourier Neural Operator for Parametric Partial Differential Equations

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PINN-FEM: A Hybrid Approach for Enforcing Dirichlet Boundary Conditions in Physics-Informed Neural Networks cites this paper.

PINN-FEM: A Hybrid Approach for Enforcing Dirichlet Boundary Conditions in Physics-Informed Neural Networks Fourier Neural Operator for Parametric Partial Differential Equations

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A Neural Operator-Based Approach to Symbolic Discovery of PDEs cites this paper.

A Neural Operator-Based Approach to Symbolic Discovery of PDEs Fourier Neural Operator for Parametric Partial Differential Equations

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Operator Learning for Reconstructing Flow Fields from Sparse Measurements: an Energy Transformer Approach cites this paper.

Operator Learning for Reconstructing Flow Fields from Sparse Measurements: an Energy Transformer Approach Fourier Neural Operator for Parametric Partial Differential Equations

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ELM-DeepONets: Backpropagation-Free Training of Deep Operator Networks via Extreme Learning Machines cites this paper.

ELM-DeepONets: Backpropagation-Free Training of Deep Operator Networks via Extreme Learning Machines Fourier Neural Operator for Parametric Partial Differential Equations

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Study on a Fast Solver for Combined Field Integral Equations of 3D Conducting Bodies Based on Graph Neural Networks cites this paper.

Study on a Fast Solver for Combined Field Integral Equations of 3D Conducting Bodies Based on Graph Neural Networks Fourier Neural Operator for Parametric Partial Differential Equations

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FNIN: A Fourier Neural Operator-based Numerical Integration Network for Surface-form-gradients cites this paper.

FNIN: A Fourier Neural Operator-based Numerical Integration Network for Surface-form-gradients Fourier Neural Operator for Parametric Partial Differential Equations

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MeshONet: A Generalizable and Efficient Operator Learning Method for Structured Mesh Generation cites this paper.

MeshONet: A Generalizable and Efficient Operator Learning Method for Structured Mesh Generation Fourier Neural Operator for Parametric Partial Differential Equations

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Efficient PINNs via Multi-Head Unimodular Regularization of the Solutions Space cites this paper.

Efficient PINNs via Multi-Head Unimodular Regularization of the Solutions Space Fourier Neural Operator for Parametric Partial Differential Equations

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AirRadar: Inferring Nationwide Air Quality in China with Deep Neural Networks cites this paper.

AirRadar: Inferring Nationwide Air Quality in China with Deep Neural Networks Fourier Neural Operator for Parametric Partial Differential Equations

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A Data-Driven Framework for Koopman Semigroup Estimation in Stochastic Dynamical Systems cites this paper.

A Data-Driven Framework for Koopman Semigroup Estimation in Stochastic Dynamical Systems Fourier Neural Operator for Parametric Partial Differential Equations

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Tensor-Var: Efficient Four-Dimensional Variational Data Assimilation cites this paper.

Tensor-Var: Efficient Four-Dimensional Variational Data Assimilation Fourier Neural Operator for Parametric Partial Differential Equations

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DoMINO: A Decomposable Multi-scale Iterative Neural Operator for Modeling Large Scale Engineering Simulations cites this paper.

DoMINO: A Decomposable Multi-scale Iterative Neural Operator for Modeling Large Scale Engineering Simulations Fourier Neural Operator for Parametric Partial Differential Equations

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Point Cloud Neural Operator for Parametric PDEs on Complex and Variable Geometries cites this paper.

Point Cloud Neural Operator for Parametric PDEs on Complex and Variable Geometries Fourier Neural Operator for Parametric Partial Differential Equations

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Multi-Fidelity Machine Learning Applied to Steady Fluid Flows cites this paper.

Multi-Fidelity Machine Learning Applied to Steady Fluid Flows Fourier Neural Operator for Parametric Partial Differential Equations

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Advanced Physics-Informed Neural Network with Residuals for Solving Complex Integral Equations cites this paper.

Advanced Physics-Informed Neural Network with Residuals for Solving Complex Integral Equations Fourier Neural Operator for Parametric Partial Differential Equations

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FlowDAS: A Stochastic Interpolant-based Framework for Data Assimilation cites this paper.

FlowDAS: A Stochastic Interpolant-based Framework for Data Assimilation Fourier Neural Operator for Parametric Partial Differential Equations

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Graph Transformers for inverse physics: reconstructing flows around arbitrary 2D airfoils cites this paper.

Graph Transformers for inverse physics: reconstructing flows around arbitrary 2D airfoils Fourier Neural Operator for Parametric Partial Differential Equations

Reference 39

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PDE-DKL: PDE-constrained deep kernel learning in high dimensionality cites this paper.

PDE-DKL: PDE-constrained deep kernel learning in high dimensionality Fourier Neural Operator for Parametric Partial Differential Equations

Reference 34

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Combining physics-based and data-driven models: advancing the frontiers of research with Scientific Machine Learning cites this paper.

Combining physics-based and data-driven models: advancing the frontiers of research with Scientific Machine Learning Fourier Neural Operator for Parametric Partial Differential Equations

Reference 145

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BCAT: A Block Causal Transformer for PDE Foundation Models for Fluid Dynamics cites this paper.

BCAT: A Block Causal Transformer for PDE Foundation Models for Fluid Dynamics Fourier Neural Operator for Parametric Partial Differential Equations

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Neural Implicit Solution Formula for Efficiently Solving Hamilton-Jacobi Equations cites this paper.

Neural Implicit Solution Formula for Efficiently Solving Hamilton-Jacobi Equations Fourier Neural Operator for Parametric Partial Differential Equations

Reference 47

Resolution: unresolved; no resolver link, observed 2026-08-09T20:32:37.023689Z

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Observation 08dc357a-92ba-4898-bd8c-6596c8ea0333 · inbound

Transfer Learning in Physics-Informed Neural Networks: Full Fine-Tuning, Lightweight Fine-Tuning, and Low-Rank Adaptation cites this paper.

Transfer Learning in Physics-Informed Neural Networks: Full Fine-Tuning, Lightweight Fine-Tuning, and Low-Rank Adaptation Fourier Neural Operator for Parametric Partial Differential Equations

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-09T17:52:03.127702Z

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Observation 7e8ce358-72cf-44e1-9d8d-530270f0063c · inbound

Physics-Informed Surrogates for Temperature Prediction of Multi-Tracks in Laser Powder Bed Fusion cites this paper.

Physics-Informed Surrogates for Temperature Prediction of Multi-Tracks in Laser Powder Bed Fusion Fourier Neural Operator for Parametric Partial Differential Equations

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-09T14:24:43.349803Z

Source-reported events for the cited work

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Observation 3e550152-16d1-46bd-b831-4cd71979a87d · inbound

EFKAN: A KAN-Integrated Neural Operator For Efficient Magnetotelluric Forward Modeling cites this paper.

EFKAN: A KAN-Integrated Neural Operator For Efficient Magnetotelluric Forward Modeling Fourier Neural Operator for Parametric Partial Differential Equations

Reference 2021

Resolution: unresolved; no resolver link, observed 2026-08-09T13:05:20.277107Z

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Observation 93997e33-c521-4c3e-9018-23241e0af2f4 · inbound

Factorized Implicit Global Convolution for Automotive Computational Fluid Dynamics Prediction cites this paper.

Factorized Implicit Global Convolution for Automotive Computational Fluid Dynamics Prediction Fourier Neural Operator for Parametric Partial Differential Equations

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-08T22:55:42.071704Z

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Observation b7a01f26-6151-4fab-9420-b3cb85fb5f1d · inbound

Active Learning of Model Discrepancy with Bayesian Experimental Design cites this paper.

Active Learning of Model Discrepancy with Bayesian Experimental Design Fourier Neural Operator for Parametric Partial Differential Equations

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-08T19:39:39.981985Z

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Observation 92822112-60e0-4131-b3ec-58fd85be128c · inbound

Learning Memory and Material Dependent Constitutive Laws cites this paper.

Learning Memory and Material Dependent Constitutive Laws Fourier Neural Operator for Parametric Partial Differential Equations

Reference 37

Resolution: unresolved; no resolver link, observed 2026-08-08T19:19:58.236424Z

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Unavailable: canonical work link unavailable.

Observation 33a05524-4ce7-48af-8f3d-3a3336c3e418 · inbound

Data-driven Low-rank Approximation for Electron-hole Kernel and Acceleration of Time-dependent GW Calculations cites this paper.

Data-driven Low-rank Approximation for Electron-hole Kernel and Acceleration of Time-dependent GW Calculations Fourier Neural Operator for Parametric Partial Differential Equations

Reference 45

Resolution: unresolved; no resolver link, observed 2026-08-08T18:37:48.670876Z

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Observation f70cb085-eadf-43f6-8b35-0bedcecabfd8 · inbound

A Multimodal PDE Foundation Model for Prediction and Scientific Text Descriptions cites this paper.

A Multimodal PDE Foundation Model for Prediction and Scientific Text Descriptions Fourier Neural Operator for Parametric Partial Differential Equations

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-08T17:02:12.767121Z

Source-reported events for the cited work

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Observation e8dfad3d-0a0d-4ade-96b9-a5497fb95716 · inbound

DGenNO: A Novel Physics-aware Neural Operator for Solving Forward and Inverse PDE Problems based on Deep, Generative Probabilistic Modeling cites this paper.

DGenNO: A Novel Physics-aware Neural Operator for Solving Forward and Inverse PDE Problems based on Deep, Generative Probabilistic Modeling Fourier Neural Operator for Parametric Partial Differential Equations

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-08T16:20:50.935916Z

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Unavailable: canonical work link unavailable.

Observation 13121858-ba41-4360-bedd-b3c8804727da · inbound

Fourier-enhanced Neural Networks For Systems Biology Applications cites this paper.

Fourier-enhanced Neural Networks For Systems Biology Applications Fourier Neural Operator for Parametric Partial Differential Equations

Reference 61

Resolution: unresolved; no resolver link, observed 2026-08-08T13:48:49.302338Z

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Observation 2fb60b36-3778-46f0-a9c9-16b5880e7f31 · inbound

Assessment of non-intrusive sensing in wall-bounded turbulence through explainable deep learning cites this paper.

Assessment of non-intrusive sensing in wall-bounded turbulence through explainable deep learning Fourier Neural Operator for Parametric Partial Differential Equations

Reference 38

Resolution: unresolved; no resolver link, observed 2026-08-08T12:12:57.477355Z

Source-reported events for the cited work

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Observation 901a4c98-f00b-4141-b469-ce81a16389a4 · inbound

A Deep Learning approach for parametrized and time dependent Partial Differential Equations using Dimensionality Reduction and Neural ODEs cites this paper.

A Deep Learning approach for parametrized and time dependent Partial Differential Equations using Dimensionality Reduction and Neural ODEs Fourier Neural Operator for Parametric Partial Differential Equations

Reference 41

Resolution: unresolved; no resolver link, observed 2026-08-08T05:46:28.160595Z

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Observation b8e2f7d2-9d77-438b-9253-ba6b75d6ed35 · inbound

Machine learning for modelling unstructured grid data in computational physics: a review cites this paper.

Machine learning for modelling unstructured grid data in computational physics: a review Fourier Neural Operator for Parametric Partial Differential Equations

Reference 204

Resolution: unresolved; no resolver link, observed 2026-08-07T21:49:41.268476Z

Source-reported events for the cited work

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Observation 5d2896f0-b7ee-4cc3-bdd3-4b3c4b303ba4 · inbound

A Deep Inverse-Mapping Model for a Flapping Robotic Wing cites this paper.

A Deep Inverse-Mapping Model for a Flapping Robotic Wing Fourier Neural Operator for Parametric Partial Differential Equations

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-07T21:46:19.639762Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation def4eb39-a627-446b-91c4-a77a0b926ae8 · inbound

Multiscale Analysis of Woven Composites Using Hierarchical Physically Recurrent Neural Networks cites this paper.

Multiscale Analysis of Woven Composites Using Hierarchical Physically Recurrent Neural Networks Fourier Neural Operator for Parametric Partial Differential Equations

Reference 6

Resolution: verified exact; local_arxiv, observed 2026-05-23T01:02:20.731660Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation b4b05f0d-8d78-4010-b2ea-ccaa74cc7501 · inbound

Deep Joint Distribution Optimal Transport for Universal Domain Adaptation on Time Series cites this paper.

Deep Joint Distribution Optimal Transport for Universal Domain Adaptation on Time Series Fourier Neural Operator for Parametric Partial Differential Equations

Reference 10

Resolution: verified exact; local_arxiv, observed 2026-05-23T00:45:15.549585Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 87fb0a84-3710-4864-a9f7-40b6d399d6b3 · inbound

Teaching Artificial Intelligence to Perform Rapid, Resolution-Invariant Grain Growth Modeling via Fourier Neural Operator cites this paper.

Teaching Artificial Intelligence to Perform Rapid, Resolution-Invariant Grain Growth Modeling via Fourier Neural Operator Fourier Neural Operator for Parametric Partial Differential Equations

Reference 44

Resolution: verified exact; local_arxiv, observed 2026-05-22T23:52:16.902870Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 3fea6d6d-9bd0-4b6c-9fb0-42ef42828728 · inbound

On the definition and importance of interpretability in scientific machine learning cites this paper.

On the definition and importance of interpretability in scientific machine learning Fourier Neural Operator for Parametric Partial Differential Equations

Reference 42

Resolution: verified exact; local_arxiv, observed 2026-05-22T14:11:38.592894Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 912d0b65-ba24-40ab-8c42-a6072e729448 · inbound

Learning High-dimensional Ionic Model Dynamics Using Fourier Neural Operators cites this paper.

Learning High-dimensional Ionic Model Dynamics Using Fourier Neural Operators Fourier Neural Operator for Parametric Partial Differential Equations

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-07T15:42:55.049306Z

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Observation 3eeb092d-b5b4-4827-84d5-5d70693ff4d5 · inbound

Physics-Guided Learning of Meteorological Dynamics for Weather Downscaling and Forecasting cites this paper.

Physics-Guided Learning of Meteorological Dynamics for Weather Downscaling and Forecasting Fourier Neural Operator for Parametric Partial Differential Equations

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-07T15:36:48.317697Z

Source-reported events for the cited work

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Observation 55efe332-ca5c-4eeb-ada1-2451ec5645a1 · inbound

FlowMixer: A Depth-Agnostic Neural Architecture for Interpretable Spatiotemporal Forecasting cites this paper.

FlowMixer: A Depth-Agnostic Neural Architecture for Interpretable Spatiotemporal Forecasting Fourier Neural Operator for Parametric Partial Differential Equations

Reference 70

Resolution: verified exact; local_arxiv, observed 2026-05-22T13:41:36.152259Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation a920d063-b163-4797-b866-d256d3a7d1ee · inbound

Deep Operator Neural Network Model Predictive Control cites this paper.

Deep Operator Neural Network Model Predictive Control Fourier Neural Operator for Parametric Partial Differential Equations

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-07T14:46:15.520419Z

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Unavailable: canonical work link unavailable.

Observation 6ea538d1-1fdc-4300-8e7b-90d10138288c · inbound

SP2RINT: Spatially-Decoupled Physics-Inspired Progressive Inverse Optimization for Scalable, PDE-Constrained Meta-Optical Neural Network Training cites this paper.

SP2RINT: Spatially-Decoupled Physics-Inspired Progressive Inverse Optimization for Scalable, PDE-Constrained Meta-Optical Neural Network Training Fourier Neural Operator for Parametric Partial Differential Equations

Reference 53

Resolution: unresolved; no resolver link, observed 2026-08-07T14:35:04.400712Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8fa85b0d-9f3b-4fe9-a025-ec3d06bf6e93 · inbound

SPDEBench: An Extensive Benchmark for Learning Stochastic PDEs cites this paper.

SPDEBench: An Extensive Benchmark for Learning Stochastic PDEs Fourier Neural Operator for Parametric Partial Differential Equations

Reference 11

Resolution: verified exact; local_arxiv, observed 2026-05-19T13:57:19.562501Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 025b8c9a-9dca-45ec-9d61-392731efe6b8 · inbound

SPDEBench: An Extensive Benchmark for Learning Stochastic PDEs cites this paper.

SPDEBench: An Extensive Benchmark for Learning Stochastic PDEs Fourier Neural Operator for Parametric Partial Differential Equations

Reference 11

Resolution: verified exact; local_arxiv, observed 2026-05-22T01:50:54.704521Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 20f3bfbe-4a1c-4a55-b418-61d3e7d6d25d · inbound

Self-Supervised Evolution Operator Learning for High-Dimensional Dynamical Systems cites this paper.

Self-Supervised Evolution Operator Learning for High-Dimensional Dynamical Systems Fourier Neural Operator for Parametric Partial Differential Equations

Reference 46

Resolution: unresolved; no resolver link, observed 2026-08-07T14:36:13.077878Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c6ba211a-8888-4799-9ceb-73d1da2588b5 · inbound

Governing Equation Discovery from Data Based on Differential Invariants cites this paper.

Governing Equation Discovery from Data Based on Differential Invariants Fourier Neural Operator for Parametric Partial Differential Equations

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-07T14:32:14.018192Z

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Unavailable: canonical work link unavailable.

Observation 023928f4-3c64-42a1-9b77-57a93dd1a016 · 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 Fourier Neural Operator for Parametric Partial Differential Equations

Reference 52

Resolution: unresolved; no resolver link, observed 2026-08-07T14:27:44.045064Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 80fc4716-4bfd-4051-9af0-6bad4747fb98 · inbound

Graph-Based Operator Learning from Limited Data on Irregular Domains cites this paper.

Graph-Based Operator Learning from Limited Data on Irregular Domains Fourier Neural Operator for Parametric Partial Differential Equations

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-07T14:27:42.387570Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 307c5b5d-dbfc-495d-99d7-58eae540d6f8 · inbound

Tokenizing Electron Cloud in Protein-Ligand Interaction Learning cites this paper.

Tokenizing Electron Cloud in Protein-Ligand Interaction Learning Fourier Neural Operator for Parametric Partial Differential Equations

Reference 39

Resolution: unresolved; no resolver link, observed 2026-08-07T14:26:32.222675Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e1f60800-e6de-42f8-9c93-4b6cc993926c · inbound

Latent Mamba Operator for Partial Differential Equations cites this paper.

Latent Mamba Operator for Partial Differential Equations Fourier Neural Operator for Parametric Partial Differential Equations

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-07T14:24:44.054027Z

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Unavailable: canonical work link unavailable.

Observation 59d01772-76d0-44de-8632-71da301c942c · inbound

Efficient Deconvolution in Populational Inverse Problems cites this paper.

Efficient Deconvolution in Populational Inverse Problems Fourier Neural Operator for Parametric Partial Differential Equations

Reference 57

Resolution: verified exact; local_arxiv, observed 2026-05-19T14:22:23.828049Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 5d363871-ef11-476a-8d41-8e2793422677 · inbound

Deep Active Inference Agents for Delayed and Long-Horizon Environments cites this paper.

Deep Active Inference Agents for Delayed and Long-Horizon Environments Fourier Neural Operator for Parametric Partial Differential Equations

Reference 61

Resolution: unresolved; no resolver link, observed 2026-08-07T14:12:58.199587Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b5f0b3e1-44b9-422d-ae98-42ddafca8984 · inbound

Physics-Informed Distillation of Diffusion Models for PDE-Constrained Generation cites this paper.

Physics-Informed Distillation of Diffusion Models for PDE-Constrained Generation Fourier Neural Operator for Parametric Partial Differential Equations

Reference 34

Resolution: unresolved; no resolver link, observed 2026-08-07T13:12:38.627814Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 769099d0-9032-4c8f-8ee8-4d4ad7dbb67a · inbound

Defining Foundation Models for Computational Science: A Call for Clarity and Rigor cites this paper.

Defining Foundation Models for Computational Science: A Call for Clarity and Rigor Fourier Neural Operator for Parametric Partial Differential Equations

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-07T13:04:12.090494Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 78a5a871-5104-4d0f-a0ab-8d499d02395c · inbound

(U)NFV: Supervised and Unsupervised Neural Finite Volume Methods for Solving Hyperbolic PDEs cites this paper.

(U)NFV: Supervised and Unsupervised Neural Finite Volume Methods for Solving Hyperbolic PDEs Fourier Neural Operator for Parametric Partial Differential Equations

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-07T12:48:55.456494Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8779dfcb-a39b-4322-8631-d855edb77c2d · inbound

Autoregressive regularized score-based diffusion models for multi-scenarios fluid flow prediction cites this paper.

Autoregressive regularized score-based diffusion models for multi-scenarios fluid flow prediction Fourier Neural Operator for Parametric Partial Differential Equations

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-07T12:36:57.470723Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 748dfbbc-ab18-4a33-ae80-e470a5a6ea62 · inbound

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

FourierFlow: Frequency-aware Flow Matching for Generative Turbulence Modeling Fourier Neural Operator for Parametric Partial Differential Equations

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-07T12:02:19.717678Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9244d4a5-061b-499b-bae2-c66eccb7f23a · inbound

PMNO: A novel physics guided multi-step neural operator predictor for partial differential equations cites this paper.

PMNO: A novel physics guided multi-step neural operator predictor for partial differential equations Fourier Neural Operator for Parametric Partial Differential Equations

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-07T11:47:49.918935Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c7ba6a0e-9219-4248-a205-0742d1498b6e · inbound

Technical report on a quantum-inspired solver for simulating compressible flows cites this paper.

Technical report on a quantum-inspired solver for simulating compressible flows Fourier Neural Operator for Parametric Partial Differential Equations

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-07T10:57:16.862548Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 47fe7cbf-f2da-4f27-b9fa-9761ae60a6b0 · inbound

Solving engineering eigenvalue problems with neural networks using the Rayleigh quotient cites this paper.

Solving engineering eigenvalue problems with neural networks using the Rayleigh quotient Fourier Neural Operator for Parametric Partial Differential Equations

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-07T10:48:10.500757Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bccd5f23-7bbd-4355-a139-d088bcbf63f5 · inbound

Hierarchical Implicit Neural Emulators cites this paper.

Hierarchical Implicit Neural Emulators Fourier Neural Operator for Parametric Partial Differential Equations

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-07T10:45:39.769197Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 28d4d23f-8f25-4cc2-90e9-ac9707ba5be0 · inbound

Deep learning methods for modeling infrasound transmission loss in the middle atmosphere cites this paper.

Deep learning methods for modeling infrasound transmission loss in the middle atmosphere Fourier Neural Operator for Parametric Partial Differential Equations

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-07T11:45:04.037096Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b781c7f5-c8e0-42d6-a038-aed1ded92cd9 · inbound

Towards real-time assessment of infrasound event detection capability using deep learning-based transmission loss estimation cites this paper.

Towards real-time assessment of infrasound event detection capability using deep learning-based transmission loss estimation Fourier Neural Operator for Parametric Partial Differential Equations

Reference 49

Resolution: unresolved; no resolver link, observed 2026-08-07T11:23:28.757004Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 34017d6f-9fd2-4801-90e3-dd206e1fd502 · inbound

Neural Operators for Forward and Inverse Potential-Density Mappings in Classical Density Functional Theory cites this paper.

Neural Operators for Forward and Inverse Potential-Density Mappings in Classical Density Functional Theory Fourier Neural Operator for Parametric Partial Differential Equations

Reference 40

Resolution: unresolved; no resolver link, observed 2026-08-07T06:01:41.857701Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 23f07b92-ca04-4b2b-a5d3-83235b8f5843 · inbound

Neural Operators for Forward and Inverse Potential-Density Mappings in Classical Density Functional Theory cites this paper.

Neural Operators for Forward and Inverse Potential-Density Mappings in Classical Density Functional Theory Fourier Neural Operator for Parametric Partial Differential Equations

Reference 52

Resolution: unresolved; no resolver link, observed 2026-08-07T06:01:41.908726Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5b75da89-8ed1-43c3-8888-bcb9e7f45dbe · inbound

Deep regularization networks for inverse problems with noisy operators cites this paper.

Deep regularization networks for inverse problems with noisy operators Fourier Neural Operator for Parametric Partial Differential Equations

Reference 50

Resolution: malformed identifier; no resolver link, observed 2026-08-07T05:52:23.924922Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e8a57ae2-2074-4025-8f01-618e778e1ee4 · inbound

Thermodynamically Consistent Latent Dynamics Identification for Parametric Systems cites this paper.

Thermodynamically Consistent Latent Dynamics Identification for Parametric Systems Fourier Neural Operator for Parametric Partial Differential Equations

Reference 52

Resolution: unresolved; no resolver link, observed 2026-08-07T05:16:06.817643Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 85591e2f-fad4-4e2b-93b9-b9a78db5c8d6 · inbound

History-Aware Neural Operator: Robust Data-Driven Constitutive Modeling of Path-Dependent Materials cites this paper.

History-Aware Neural Operator: Robust Data-Driven Constitutive Modeling of Path-Dependent Materials Fourier Neural Operator for Parametric Partial Differential Equations

Reference 43

Resolution: unresolved; no resolver link, observed 2026-08-07T04:33:45.339760Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 99c8fc16-2383-488b-a9b4-884c0d93aa8d · inbound

SlotPi: Physics-informed Object-centric Reasoning Models cites this paper.

SlotPi: Physics-informed Object-centric Reasoning Models Fourier Neural Operator for Parametric Partial Differential Equations

Reference 40

Resolution: unresolved; no resolver link, observed 2026-08-07T04:25:21.093290Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2e97d5a9-245e-4e9e-a826-da10601e3ba1 · 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 Fourier Neural Operator for Parametric Partial Differential Equations

Reference 63

Resolution: unresolved; no resolver link, observed 2026-08-07T04:19:42.459126Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7e42bfd5-917c-4122-9874-e8f164c41e1c · inbound

An Attention-based Spatio-Temporal Neural Operator for Evolving Physics cites this paper.

An Attention-based Spatio-Temporal Neural Operator for Evolving Physics Fourier Neural Operator for Parametric Partial Differential Equations

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-07T04:18:14.101813Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 84ed9891-f995-423a-8911-6a20a4275770 · inbound

Fusion of multi-source precipitation records via coordinate-based generative model cites this paper.

Fusion of multi-source precipitation records via coordinate-based generative model Fourier Neural Operator for Parametric Partial Differential Equations

Reference 66

Resolution: unresolved; no resolver link, observed 2026-08-07T04:07:50.790186Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6681b7cc-b96c-4af8-bd8f-f53facb9df41 · inbound

An approximate Riemann solver approach in Physics-Informed Neural Networks for hyperbolic conservation laws cites this paper.

An approximate Riemann solver approach in Physics-Informed Neural Networks for hyperbolic conservation laws Fourier Neural Operator for Parametric Partial Differential Equations

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-07T01:07:41.424594Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a7688033-65dc-47fe-aaf3-4c8011eb789a · inbound

BSA: Ball Sparse Attention for Large-scale Geometries cites this paper.

BSA: Ball Sparse Attention for Large-scale Geometries Fourier Neural Operator for Parametric Partial Differential Equations

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-07T00:52:50.573587Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 93ab6233-f708-42a4-8b0f-8e0b1cc7fdf3 · inbound

Learning Mappings in Mesh-based Simulations cites this paper.

Learning Mappings in Mesh-based Simulations Fourier Neural Operator for Parametric Partial Differential Equations

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-07T00:50:33.815577Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4edf7273-81a1-49e4-90c5-2b381c740c7e · inbound

PDEfuncta: Spectrally-Aware Neural Representation for PDE Solution Modeling cites this paper.

PDEfuncta: Spectrally-Aware Neural Representation for PDE Solution Modeling Fourier Neural Operator for Parametric Partial Differential Equations

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-07T00:48:15.360376Z

Source-reported events for the cited work

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Observation 39bb1070-20ae-4a3a-8292-ef0239a47c90 · inbound

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

Accelerating PDE-Constrained Optimization by the Derivative of Neural Operators Fourier Neural Operator for Parametric Partial Differential Equations

Reference 5

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Observation 20bf47e0-aeb7-417d-9ca4-f7f16255671e · inbound

VideoPDE: Unified Generative PDE Solving via Video Inpainting Diffusion Models cites this paper.

VideoPDE: Unified Generative PDE Solving via Video Inpainting Diffusion Models Fourier Neural Operator for Parametric Partial Differential Equations

Reference 40

Resolution: unresolved; no resolver link, observed 2026-08-07T00:31:13.084202Z

Source-reported events for the cited work

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Observation 2658423f-296b-4d86-b347-301ccc2c5528 · inbound

GITO: Graph-Informed Transformer Operator for Learning Complex Partial Differential Equations cites this paper.

GITO: Graph-Informed Transformer Operator for Learning Complex Partial Differential Equations Fourier Neural Operator for Parametric Partial Differential Equations

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-07T00:29:31.997258Z

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Observation 606beed0-1c01-40c1-a604-f7023d220d78 · inbound

Physics-Informed Neural Networks for the Korteweg-de Vries Equation for Internal Solitary Wave Problem: Forward Simulation and Inverse Parameter Estimation cites this paper.

Physics-Informed Neural Networks for the Korteweg-de Vries Equation for Internal Solitary Wave Problem: Forward Simulation and Inverse Parameter Estimation Fourier Neural Operator for Parametric Partial Differential Equations

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-07T00:24:12.609637Z

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Observation 10d2c943-259a-4968-bc36-dcec2f01734e · inbound

Beyond Blur: A Fluid Perspective on Generative Diffusion Models cites this paper.

Beyond Blur: A Fluid Perspective on Generative Diffusion Models Fourier Neural Operator for Parametric Partial Differential Equations

Reference 22

Resolution: metadata mismatch; local_arxiv, observed 2026-05-19T08:17:10.918193Z

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Observation e714a0a2-6da8-4d8f-8f89-f562b3903d17 · inbound

Exploring Efficient Quantification of Modeling Uncertainties with Differentiable Physics-Informed Machine Learning Architectures cites this paper.

Exploring Efficient Quantification of Modeling Uncertainties with Differentiable Physics-Informed Machine Learning Architectures Fourier Neural Operator for Parametric Partial Differential Equations

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-06T23:27:59.496855Z

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Observation 72820f20-f7c6-468b-bfa5-a5381d493e39 · inbound

A Geometry-Aware AI Emulator for the Coupled Whole Atmosphere from Earth Surface to the Ionosphere and Thermosphere cites this paper.

A Geometry-Aware AI Emulator for the Coupled Whole Atmosphere from Earth Surface to the Ionosphere and Thermosphere Fourier Neural Operator for Parametric Partial Differential Equations

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-06T23:12:39.868467Z

Source-reported events for the cited work

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Observation 1b749a59-66ed-4540-b096-6207382549bc · inbound

Machine-Learning-Assisted Photonic Device Development: A Multiscale Approach from Theory to Characterization cites this paper.

Machine-Learning-Assisted Photonic Device Development: A Multiscale Approach from Theory to Characterization Fourier Neural Operator for Parametric Partial Differential Equations

Reference 72

Resolution: unresolved; no resolver link, observed 2026-08-06T23:02:41.373388Z

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