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Paper Citation Record · LEDGER

Neural Operator: Learning Maps Between Function Spaces

As of 19 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 55 inbound Pith citation observations for arXiv:2108.08481.

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

pith.paper-citation-record.v1
2108.08481 v6

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measured 0 of 0 reference resolution

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measured 55 of 55 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+00:00

measured 55 of 55 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-16T05:16:43.717139Z

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

79
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 e72c7a0d-9d01-426e-a4f8-c48d40eaea2a · inbound

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

Generative diffusion learning for parametric partial differential equations Neural Operator: Learning Maps Between Function Spaces

Reference 12

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arxiv_id, observed 2026-05-24T09:09:15.695837Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation 0ae81296-4958-4e52-ab45-b4575f810be2 · inbound

Kernel Neural Operators (KNOs) for Scalable, Memory-efficient, Geometrically-flexible Operator Learning cites this paper.

Kernel Neural Operators (KNOs) for Scalable, Memory-efficient, Geometrically-flexible Operator Learning Neural Operator: Learning Maps Between Function Spaces

Reference 22

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arxiv_id, observed 2026-05-23T23:13:37.081139Z

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Observation 3bcbb5d1-32fa-456a-81ba-1d3f3ad22bcc · inbound

Advancing Generalization in PINNs through Latent-Space Representations cites this paper.

Advancing Generalization in PINNs through Latent-Space Representations Neural Operator: Learning Maps Between Function Spaces

Reference 2

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Observation 9af83b0a-018f-43e2-986f-bc49ee875bbd · inbound

Stabilizing and Solving Unique Continuation Problems by Parameterizing Data and Learning Finite Element Solution Operators cites this paper.

Stabilizing and Solving Unique Continuation Problems by Parameterizing Data and Learning Finite Element Solution Operators Neural Operator: Learning Maps Between Function Spaces

Reference 29

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source=pdf_text observed=2026-08-11T21:31:32.080748Z digest=sha256:5d30d63f71c6edf0a8f5b2a011bce493b00598d8011d1a6c8f95b152cc5084b3

Observation dbb2abc2-cbba-4af5-93b1-d0641bdd2e65 · inbound

Adaptive Resolution Residual Networks -- Generalizing Across Resolutions Easily and Efficiently cites this paper.

Adaptive Resolution Residual Networks -- Generalizing Across Resolutions Easily and Efficiently Neural Operator: Learning Maps Between Function Spaces

Reference 2015

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source=pdf_text observed=2026-08-11T20:00:50.158237Z digest=sha256:8102ecc08d9912336dec71025a4fbec43706ea409db15fe8a92ea517ff4bc846

Observation 022cdcf7-5d4c-405f-ab67-0d833b50a5af · inbound

Koopman Theory-Inspired Method for Learning Time Advancement Operators in Unstable Flame Front Evolution cites this paper.

Koopman Theory-Inspired Method for Learning Time Advancement Operators in Unstable Flame Front Evolution Neural Operator: Learning Maps Between Function Spaces

Reference 9

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source=arxiv_source observed=2026-08-11T17:56:26.529541Z digest=sha256:b9f6d5ae7279a8336c8789482b9b463c67c3c6a2efc025f054fa93be19d1e658

Observation ca6d54ee-50f3-48de-b1a4-36af8321f55c · inbound

A physics-informed transformer neural operator for learning generalized solutions of initial boundary value problems cites this paper.

A physics-informed transformer neural operator for learning generalized solutions of initial boundary value problems Neural Operator: Learning Maps Between Function Spaces

Reference 79

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Observation f4527fda-9936-4a61-8d42-5af7c9106887 · inbound

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 Neural Operator: Learning Maps Between Function Spaces

Reference 27

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Observation b53941da-edbb-4826-84e0-c33fcb165f85 · inbound

A Paired Autoencoder Framework for Inverse Problems via Bayes Risk Minimization cites this paper.

A Paired Autoencoder Framework for Inverse Problems via Bayes Risk Minimization Neural Operator: Learning Maps Between Function Spaces

Reference 28

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Observation e8aae612-adde-4ce8-a308-090c11a8cc9e · 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 Neural Operator: Learning Maps Between Function Spaces

Reference 12

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Observation 7cab24c7-16be-49bc-9f95-99cf82168681 · 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 Neural Operator: Learning Maps Between Function Spaces

Reference 36

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no resolver link, observed 2026-08-08T05:46:28.133504Z

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Observation dfbca8f4-6bc6-4071-9c2e-12703dbca6e0 · inbound

Phi-FEM-FNO: a new approach to train a Neural Operator as a fast PDE solver for variable geometries cites this paper.

Phi-FEM-FNO: a new approach to train a Neural Operator as a fast PDE solver for variable geometries Neural Operator: Learning Maps Between Function Spaces

Reference 15

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Observation acbca17f-c801-41da-9363-28ec9c5468e0 · 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 Neural Operator: Learning Maps Between Function Spaces

Reference 66

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arxiv_id, observed 2026-05-22T23:52:16.918861Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation 2c1fae0a-5d92-4743-99f3-69b6e3ad2c74 · inbound

Evaluation and Verification of Physics-Informed Neural Models of the Grad-Shafranov Equation cites this paper.

Evaluation and Verification of Physics-Informed Neural Models of the Grad-Shafranov Equation Neural Operator: Learning Maps Between Function Spaces

Reference 18

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Observation 5e674294-43e8-4f83-b0d6-46903f950a2a · inbound

Attention on the Sphere cites this paper.

Attention on the Sphere Neural Operator: Learning Maps Between Function Spaces

Reference 25

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source=pdf_text observed=2026-08-15T21:03:00.463755Z digest=sha256:7e6c9b745cc5d5f198976b2a4ad0a34802a1dc9a777ca2c8e5d95f22e9f23c8b

Observation 453965a8-81c8-44cf-be95-625fdf05be59 · inbound

A Unified Framework for Simultaneous Parameter and Function Discovery in Differential Equations cites this paper.

A Unified Framework for Simultaneous Parameter and Function Discovery in Differential Equations Neural Operator: Learning Maps Between Function Spaces

Reference 7

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no resolver link, observed 2026-08-07T14:58:38.018328Z

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source=arxiv_source observed=2026-08-07T14:58:38.018328Z digest=sha256:74df5bd60ea65c4711fe437670f8a5332a96e2c5f05613b40cae49a2c2686d45

Observation 95b9b567-a5ad-49dd-82f2-e8c218a29413 · inbound

Latent Mamba Operator for Partial Differential Equations cites this paper.

Latent Mamba Operator for Partial Differential Equations Neural Operator: Learning Maps Between Function Spaces

Reference 15

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Observation 54e62085-dc27-4f66-acea-0011bc21ed95 · 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 Neural Operator: Learning Maps Between Function Spaces

Reference 53

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Observation e5c31bbc-cb84-4d4c-bd11-e1cc523fddc2 · inbound

Mondrian: Transformer Operators via Domain Decomposition cites this paper.

Mondrian: Transformer Operators via Domain Decomposition Neural Operator: Learning Maps Between Function Spaces

Reference 33

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Observation 73678889-47ce-4b6e-8979-01cbe0406b2d · inbound

Accurate and scalable exchange-correlation with deep learning cites this paper.

Accurate and scalable exchange-correlation with deep learning Neural Operator: Learning Maps Between Function Spaces

Reference 54

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arxiv_id, observed 2026-05-19T09:07:13.947633Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation d656cb1b-b07d-4310-82e4-59a8b3ea925f · inbound

Interpretability and Generalization Bounds for Learning Spatial Physics cites this paper.

Interpretability and Generalization Bounds for Learning Spatial Physics Neural Operator: Learning Maps Between Function Spaces

Reference 15

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Observation 1b4e4631-634c-431a-842d-0a1d3ee9410c · inbound

Automatic discovery of optimal meta-solvers for time-dependent nonlinear PDEs cites this paper.

Automatic discovery of optimal meta-solvers for time-dependent nonlinear PDEs Neural Operator: Learning Maps Between Function Spaces

Reference 18

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Observation ec2973c2-c63c-4f23-9b75-8f9b6b9383ce · inbound

The Fourier Spectral Transformer Networks For Efficient and Generalizable Nonlinear PDEs Prediction cites this paper.

The Fourier Spectral Transformer Networks For Efficient and Generalizable Nonlinear PDEs Prediction Neural Operator: Learning Maps Between Function Spaces

Reference 10

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Observation f8f7839d-69f0-40d9-8b1c-623ea2dbd3a6 · inbound

Time Series Forecasting Through the Lens of Dynamics cites this paper.

Time Series Forecasting Through the Lens of Dynamics Neural Operator: Learning Maps Between Function Spaces

Reference 20

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arxiv_id, observed 2026-05-19T03:32:01.331749Z

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source=arxiv_source observed=2026-05-19T03:31:48.513830Z digest=sha256:25a450f0edf32344cafe5e2085ad5928ccab4cab26a44d7a62be271551a952e1

Observation fb6952aa-d2cb-4603-aeb7-5aadff637db4 · inbound

Bubbleformer: Forecasting Boiling with Transformers cites this paper.

Bubbleformer: Forecasting Boiling with Transformers Neural Operator: Learning Maps Between Function Spaces

Reference 33

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Observation 017054dd-9e09-4ec1-9fee-928057c78a5e · 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 Neural Operator: Learning Maps Between Function Spaces

Reference 13

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Observation d5771126-6644-43fc-86bd-7a27543f2f80 · inbound

Temperature-Aware Recurrent Neural Operator for Temperature-Dependent Anisotropic Plasticity in HCP Materials cites this paper.

Temperature-Aware Recurrent Neural Operator for Temperature-Dependent Anisotropic Plasticity in HCP Materials Neural Operator: Learning Maps Between Function Spaces

Reference 60

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Observation 9159519a-5644-4fd8-bab6-a157bd1eba12 · inbound

Self-composing neural operators for high-frequency and multiscale PDE surrogates cites this paper.

Self-composing neural operators for high-frequency and multiscale PDE surrogates Neural Operator: Learning Maps Between Function Spaces

Reference 29

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Observation 70de1d89-488e-413b-9b55-ae4160e23cfc · inbound

Matrix-free Neural Preconditioner for the Dirac Operator in Lattice Gauge Theory cites this paper.

Matrix-free Neural Preconditioner for the Dirac Operator in Lattice Gauge Theory Neural Operator: Learning Maps Between Function Spaces

Reference 51

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Observation d1e7a98a-a8c9-440d-a8da-dc8925ea71c5 · inbound

Flow Straight and Fast in Hilbert Space: Functional Rectified Flow cites this paper.

Flow Straight and Fast in Hilbert Space: Functional Rectified Flow Neural Operator: Learning Maps Between Function Spaces

Reference 41

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Observation 0bc7f050-cf83-4141-83c4-65c0cfcbbfce · inbound

Toward Data-Driven Surrogates of the Solar Wind with Spherical Fourier Neural Operator cites this paper.

Toward Data-Driven Surrogates of the Solar Wind with Spherical Fourier Neural Operator Neural Operator: Learning Maps Between Function Spaces

Reference 22

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arxiv_id, observed 2026-05-17T04:29:01.577905Z

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Observation 089473c7-acdf-48d8-8017-b2c163fc9a93 · inbound

Diagnosing Failure Modes of Neural Operators Across Diverse PDE Families cites this paper.

Diagnosing Failure Modes of Neural Operators Across Diverse PDE Families Neural Operator: Learning Maps Between Function Spaces

Reference 1

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Observation 770e2f02-32e8-47e6-81c6-f30b2ed725a7 · inbound

Physics-Encoded Inverse Modeling for Arctic Snow Depth Estimation cites this paper.

Physics-Encoded Inverse Modeling for Arctic Snow Depth Estimation Neural Operator: Learning Maps Between Function Spaces

Reference 2021

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Observation 6f14a7d7-4e29-43c5-a9a1-6025b4e9ea56 · inbound

Learning 3D Hypersonic Flow with Physics-Enhanced Neural Fields: A Case Study on the Orion Reentry Capsule cites this paper.

Learning 3D Hypersonic Flow with Physics-Enhanced Neural Fields: A Case Study on the Orion Reentry Capsule Neural Operator: Learning Maps Between Function Spaces

Reference 2017

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Observation 4bb34af7-2d61-4b35-a07d-30fbc1d9da79 · inbound

Optimal Linear Interpolation under Differential Information: application to the prediction of perfect flows cites this paper.

Optimal Linear Interpolation under Differential Information: application to the prediction of perfect flows Neural Operator: Learning Maps Between Function Spaces

Reference 33

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arxiv_id, observed 2026-05-11T11:51:02.887767Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation db4d474d-4d4a-4a05-a4ba-92c2bb20e277 · inbound

Learning Neural Operator Surrogates for the Black Hole Accretion Code cites this paper.

Learning Neural Operator Surrogates for the Black Hole Accretion Code Neural Operator: Learning Maps Between Function Spaces

Reference 7

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arxiv_id, observed 2026-05-12T00:21:23.706098Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-05-07T15:28:38.494462Z digest=sha256:f66aad69d28319d96e6e49b2beb88a3ba7dc0d29d1745de552c0d69fe6f60b34

Observation ab798e1b-4da5-49a8-a430-01c00b4238ff · 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 Neural Operator: Learning Maps Between Function Spaces

Reference 45

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metadata mismatch
arxiv_id, observed 2026-05-09T04:00:13.226916Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-05-07T10:58:07.460227Z digest=sha256:28ea7507a767591cd6b6f05c4fe6044f0b6d5410a06b9bedfa2a6fc2f1bc7187

Observation 9a352f99-0b3f-43c7-a269-373f17867da5 · inbound

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

Hybrid Fourier Neural Operator-Lattice Boltzmann Method Neural Operator: Learning Maps Between Function Spaces

Reference 32

Resolution
verified exact
arxiv_id, observed 2026-05-12T10:01:29.191030Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-05-07T08:13:46.567661Z digest=sha256:1165b29f1b6e63a0475e9ae62fb1ac09156d5d191e4518cac21c3b2ea05e493c

Observation a7563a6a-68f8-4a24-8e23-9792fd5b8799 · inbound

Physics-Informed Reduced-Order Operator Learning for Hyperelasticity in Continuum Micromechanics cites this paper.

Physics-Informed Reduced-Order Operator Learning for Hyperelasticity in Continuum Micromechanics Neural Operator: Learning Maps Between Function Spaces

Reference 5

Resolution
verified exact
arxiv_id, observed 2026-05-11T03:05:52.639855Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-05-11T03:02:47.843748Z digest=sha256:e0472680a13ec8c7fd6ea8db9d55437c5f5c246c3acf64a052cd2cc9c84b69c6

Observation 0577a301-314c-4ce4-a2e2-ed27a03db1d1 · inbound

Quantitative Sobolev Approximation Bounds for Neural Operators with Empirical Validation on Burgers Equation cites this paper.

Quantitative Sobolev Approximation Bounds for Neural Operators with Empirical Validation on Burgers Equation Neural Operator: Learning Maps Between Function Spaces

Reference 20

Resolution
metadata mismatch
arxiv_id, observed 2026-05-12T01:46:14.665992Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-05-12T01:38:54.274354Z digest=sha256:b7d31467e49bdf4f8fe3dd04e8e66074598450745563207aef63b35cfd583bff

Observation b2825f0b-305f-4db1-ae0e-709b9d9f7a9b · inbound

Quantitative Sobolev Approximation Bounds for Neural Operators with Empirical Validation on Burgers Equation cites this paper.

Quantitative Sobolev Approximation Bounds for Neural Operators with Empirical Validation on Burgers Equation Neural Operator: Learning Maps Between Function Spaces

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-04T05:24:02.533981Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-04T05:24:02.533981Z digest=sha256:052e04a7e0d9cc99bc667b555ad1f8a4b6558d03041f6dcfabb15ec5e64eebb7

Observation 8020b2c7-0eff-4682-828a-8711f7e8e7c7 · inbound

Sequential Physics-Constrained Neural Operator Forward Modeling for the $\textit{Norne}$ Reservoir System cites this paper.

Sequential Physics-Constrained Neural Operator Forward Modeling for the $\textit{Norne}$ Reservoir System Neural Operator: Learning Maps Between Function Spaces

Reference 16

Resolution
verified exact
arxiv_id, observed 2026-06-29T14:43:30.814908Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-06-29T14:37:05.393813Z digest=sha256:5632b4075f76112289b0f001c0811daaee81c8debf5a673cdaa98af23bf8bf1a

Observation 8a1d67db-173e-42a4-99b6-1a409fb035ed · inbound

Operator learning for the 2D incompressible Navier-Stokes equations: a conformal prediction approach in the data-scarce regime cites this paper.

Operator learning for the 2D incompressible Navier-Stokes equations: a conformal prediction approach in the data-scarce regime Neural Operator: Learning Maps Between Function Spaces

Reference 14

Resolution
verified exact
arxiv_id, observed 2026-07-02T22:47:25.734752Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-06-27T18:39:56.578189Z digest=sha256:25128d04369db2700f061656ae0a4c2fc763dec7e709947a41aba33a0319864d

Observation 7a68dcee-5982-4e44-9b3a-625f89151e7b · inbound

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

Graph Mamba Operator: A Latent Simulator for Interacting Particle Systems Neural Operator: Learning Maps Between Function Spaces

Reference 30

Resolution
metadata mismatch
arxiv_id, observed 2026-07-03T00:37:29.962633Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-06-27T17:07:27.417845Z digest=sha256:4249f3e957bf9a5ff0ed7457e935336b19441f49c58951ff1055a88f373ccdb4

Observation 83867a57-49bb-49a1-9e83-f420380419a3 · inbound

ELADO: Elliptic PDE Assessment Datasets for Operator Learning cites this paper.

ELADO: Elliptic PDE Assessment Datasets for Operator Learning Neural Operator: Learning Maps Between Function Spaces

Reference 4

Resolution
metadata mismatch
arxiv_id, observed 2026-07-04T03:09:30.476831Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-06-26T18:20:00.248849Z digest=sha256:404bd54f6da76fe3823140207a9bee7d3501394d2fed69b172d9e46a123e08c5

Observation 32be2990-fc75-4d23-8324-235d9fbcf085 · inbound

A Neural Surrogate Approach for Simulating Natural Convection Problems cites this paper.

A Neural Surrogate Approach for Simulating Natural Convection Problems Neural Operator: Learning Maps Between Function Spaces

Reference 98

Resolution
metadata mismatch
arxiv_id, observed 2026-06-25T21:18:24.265402Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-06-25T20:40:24.100365Z digest=sha256:3168dc31fae969f774d91c274bf41b3cfde8be4e64c155b494586f39d1286a36

Observation 31970c1b-1e79-4d27-b105-ec6fecf51f0f · inbound

When is the combined load identifiable from a stress-intensity profile? A coupled forward-inverse study on SIFBench finite-element data cites this paper.

When is the combined load identifiable from a stress-intensity profile? A coupled forward-inverse study on SIFBench finite-element data Neural Operator: Learning Maps Between Function Spaces

Reference 6

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unresolved
no resolver link, observed 2026-08-02T07:10:15.668361Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T07:10:15.668361Z digest=sha256:80079f4d4b6c601865dc4c590a6ef31941ba7abd7be78482dd5aa908fb74f67b

Observation 45037c94-c6cc-423f-978c-df46b14d5e62 · inbound

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

DRIFT: Direct Reduced Fourier Transforms for Distributed Spectral Neural Operators Neural Operator: Learning Maps Between Function Spaces

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-02T02:17:07.159977Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T02:17:07.159977Z digest=sha256:8f108bfecc4479353c2d454df953f147867d63f03ae7dc2b5e6f2be392e254cf

Observation eeb4939a-a03e-4a91-aa8c-d7e2a6accdfa · inbound

Energy Manifold Natural Gradient Descent: Riemannian Optimization for Neural PDE Solvers cites this paper.

Energy Manifold Natural Gradient Descent: Riemannian Optimization for Neural PDE Solvers Neural Operator: Learning Maps Between Function Spaces

Reference 2001

Resolution
unresolved
no resolver link, observed 2026-08-01T06:09:01.761928Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T06:09:01.761928Z digest=sha256:f97470a6aba5e0f531ffa4b6ecf7ff701e3049f4babe6b154de8517fc4a0171d

Observation 54143cd1-341d-4100-b70c-ec769592ed0a · inbound

Elliptic Regularity Theory in Barron Spaces and Applications to the Deep Ritz Method cites this paper.

Elliptic Regularity Theory in Barron Spaces and Applications to the Deep Ritz Method Neural Operator: Learning Maps Between Function Spaces

Reference 9

Resolution
unresolved
no resolver link, observed 2026-07-31T01:28:50.733155Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-31T01:28:50.733155Z digest=sha256:7661febafcee9cfa7c8b1048ace2a2cc73dd5798e2c3499c8b3c2bb825663045

Observation e069b584-2f4c-412b-9f3b-8ac1dfa9087a · inbound

Cosmo-SPINN: Fuzzy Dark Matter Simulations with Physics-Informed Generative Networks cites this paper.

Cosmo-SPINN: Fuzzy Dark Matter Simulations with Physics-Informed Generative Networks Neural Operator: Learning Maps Between Function Spaces

Reference 98

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unresolved
no resolver link, observed 2026-07-31T02:27:17.167700Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-07-31T02:27:17.167700Z digest=sha256:91def8a334bb7ae67768b7276d73e8a8542a1169cdec08925d943d6aca0ad616

Observation 9718d6a2-f21b-40e5-87f6-3695857158d9 · inbound

tFUSOperator: Operator Learning for Transcranial Focused Ultrasound Digital Twins cites this paper.

tFUSOperator: Operator Learning for Transcranial Focused Ultrasound Digital Twins Neural Operator: Learning Maps Between Function Spaces

Reference 9

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unresolved
no resolver link, observed 2026-08-04T19:54:15.550167Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T19:54:15.550167Z digest=sha256:552b9034b082e67d85e35785b485133707aded7ca57fef08afd562d70f16f052

Observation 1f007116-23d8-4c08-a1a2-75621fd337ac · inbound

Benchmarking Multi-fidelity Neural Operators on Complex PDE Problems with Non-trivial Fidelity Differences cites this paper.

Benchmarking Multi-fidelity Neural Operators on Complex PDE Problems with Non-trivial Fidelity Differences Neural Operator: Learning Maps Between Function Spaces

Reference 20

Resolution
unresolved
no resolver link, observed 2026-08-06T18:32:35.100763Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T18:32:35.100763Z digest=sha256:70bb463f3f0d6c90e1d1b14de52d8b56584cf7f677abe0b5080d9425ffd91dc4

Observation 41d836ee-1708-495d-9538-f9adfc50cb99 · inbound

Mastering Stochastic OLG Models in Continuous Time cites this paper.

Mastering Stochastic OLG Models in Continuous Time Neural Operator: Learning Maps Between Function Spaces

Reference 16

Resolution
unresolved
no resolver link, observed 2026-08-12T05:35:48.116758Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-12T05:35:48.116758Z digest=sha256:e3decf50238cd261e66a17a9ed7893ce8daf94da2ff572003ea6e1088f97a1e0

Observation 8c0fd9da-dca5-47db-8cae-9f21f8f81011 · inbound

DD-RNO: A Domain-Decomposed Routed Neural Operator for Airfoil Flow Prediction cites this paper.

DD-RNO: A Domain-Decomposed Routed Neural Operator for Airfoil Flow Prediction Neural Operator: Learning Maps Between Function Spaces

Reference 20

Resolution
unresolved
no resolver link, observed 2026-08-14T05:59:43.887535Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T05:59:43.887535Z digest=sha256:1fbd244264eac1479a500329fda1b12527e13f478c0c6bd847b63c32a49070dc