Paper Citation Record · LEDGER

Wavelet neural operator: a neural operator for parametric partial differential equations

As of 20 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 24 inbound Pith citation observations for arXiv:2205.02191.

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

pith.paper-citation-record.v1
2205.02191 v1

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 24 of 24 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+00:00

measured 24 of 24 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-15T23:23:03.592930Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-04T20:30:08.142607Z

Reference resolution

0 of 0 outbound references displayed

verified exact0
verified fuzzy0
unresolved0
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

No outbound reference observations are available for this paper version.

Pith citing papers

Observation 53d7c883-2c02-4154-9e84-a9608e3c451f · inbound

U-WNO:U-Net-enhanced Wavelet Neural Operator for fetal head segmentation cites this paper.

U-WNO:U-Net-enhanced Wavelet Neural Operator for fetal head segmentation Wavelet neural operator: a neural operator for parametric partial differential equations

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-12T12:48:20.840012Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e97c7bab-fc15-44c3-9bef-7b7ae038f6fd · inbound

Model-Based Closed-Loop Control Algorithm for Stochastic Partial Differential Equation Control cites this paper.

Model-Based Closed-Loop Control Algorithm for Stochastic Partial Differential Equation Control Wavelet neural operator: a neural operator for parametric partial differential equations

Reference 34

Resolution: unresolved; no resolver link, observed 2026-08-15T23:23:03.592930Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 67798f36-48a1-4e99-8ea8-ed8080be8442 · 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 Wavelet neural operator: a neural operator for parametric partial differential equations

Reference 35

Resolution: unresolved; no resolver link, observed 2026-08-07T11:47:50.078997Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c6961fa7-98b2-49c9-8d6d-ddcae4854825 · inbound

Hierarchical Implicit Neural Emulators cites this paper.

Hierarchical Implicit Neural Emulators Wavelet neural operator: a neural operator for parametric partial differential equations

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-07T10:45:39.773593Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7e4ee1fb-eba0-4cc1-84aa-84a428e171c8 · 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 Wavelet neural operator: a neural operator for parametric partial differential equations

Reference 102

Resolution: unresolved; no resolver link, observed 2026-08-07T04:19:46.108701Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a522997d-6762-4c4b-828d-3c9493889fd5 · inbound

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

PDEfuncta: Spectrally-Aware Neural Representation for PDE Solution Modeling Wavelet neural operator: a neural operator for parametric partial differential equations

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-07T00:48:16.384195Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 94c40a87-dd62-4389-a677-f0d73bd040ae · inbound

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

A Neural Operator based on Dynamic Mode Decomposition Wavelet neural operator: a neural operator for parametric partial differential equations

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-06T21:08:15.751963Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 870034e2-265a-40af-9f36-65790907e355 · inbound

Linear Attention with Global Context: A Multipole Attention Mechanism for Vision and Physics cites this paper.

Linear Attention with Global Context: A Multipole Attention Mechanism for Vision and Physics Wavelet neural operator: a neural operator for parametric partial differential equations

Reference 53

Resolution: unresolved; no resolver link, observed 2026-08-06T20:29:57.184495Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2c79a67c-e437-4475-b85d-9a19fb6cac81 · inbound

Diffeomorphic Neural Operator Learning cites this paper.

Diffeomorphic Neural Operator Learning Wavelet neural operator: a neural operator for parametric partial differential equations

Reference 63

Resolution: unresolved; no resolver link, observed 2026-08-05T22:39:54.717580Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2bd2c7a1-435d-45f6-827e-4de7a5160cfc · inbound

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

Differentiable Autoencoding Neural Operator for Interpretable and Integrable Latent Space Modeling Wavelet neural operator: a neural operator for parametric partial differential equations

Reference 41

Resolution: verified exact; arxiv_id, observed 2026-05-18T11:26:18.522205Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 2e33f0d8-9802-432d-9a71-88e3f1f56844 · inbound

$\phi-$DeepONet: A Discontinuity Capturing Neural Operator cites this paper.

$\phi-$DeepONet: A Discontinuity Capturing Neural Operator Wavelet neural operator: a neural operator for parametric partial differential equations

Reference 23

Resolution: metadata mismatch; arxiv_id, observed 2026-05-11T05:46:13.499929Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 947ad6f9-081d-4f9d-b1d5-54ab00cc645f · inbound

Neural Operator Representation of Granular Micromechanics-based Failure Envelope cites this paper.

Neural Operator Representation of Granular Micromechanics-based Failure Envelope Wavelet neural operator: a neural operator for parametric partial differential equations

Reference 87

Resolution: metadata mismatch; arxiv_id, observed 2026-05-11T13:21:14.795602Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 637c1f67-06df-4f32-a60e-3f8bd6ba28ee · inbound

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

Physics-Informed Neural PDE Solvers via Spatio-Temporal MeanFlow Wavelet neural operator: a neural operator for parametric partial differential equations

Reference 72

Resolution: verified exact; arxiv_id, observed 2026-05-12T03:56:21.937719Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 72b4befd-0d43-4edc-bd28-98f15236afe6 · inbound

PnP-Corrector: A Universal Correction Framework for Coupled Spatiotemporal Forecasting cites this paper.

PnP-Corrector: A Universal Correction Framework for Coupled Spatiotemporal Forecasting Wavelet neural operator: a neural operator for parametric partial differential equations

Reference 164

Resolution: metadata mismatch; arxiv_id, observed 2026-05-12T07:21:26.155576Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation f20dff7d-098f-4c97-a1f1-8d99411913ef · inbound

PnP-Corrector: A Universal Correction Framework for Coupled Spatiotemporal Forecasting cites this paper.

PnP-Corrector: A Universal Correction Framework for Coupled Spatiotemporal Forecasting Wavelet neural operator: a neural operator for parametric partial differential equations

Reference 164

Resolution: metadata mismatch; arxiv_id, observed 2026-05-14T21:22:59.164581Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 5b3c9862-83b9-4c75-9fac-0d06ced7baa2 · inbound

Don't Fix the Basis -- Learn It: Spectral Representation with Adaptive Basis Learning for PDEs cites this paper.

Don't Fix the Basis -- Learn It: Spectral Representation with Adaptive Basis Learning for PDEs Wavelet neural operator: a neural operator for parametric partial differential equations

Reference 19

Resolution: metadata mismatch; arxiv_id, observed 2026-05-12T06:16:27.698617Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 262d7045-9354-46c2-b3af-36b7d2efb21a · 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 Wavelet neural operator: a neural operator for parametric partial differential equations

Reference 29

Resolution: metadata mismatch; arxiv_id, observed 2026-05-14T20:39:28.928494Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation d8c69d15-b727-4b18-be64-e133db8a30b9 · inbound

Courant: a State-Adaptive Perceiver-Based Neural Surrogate with Local Support and Interpretable Field Decomposition cites this paper.

Courant: a State-Adaptive Perceiver-Based Neural Surrogate with Local Support and Interpretable Field Decomposition Wavelet neural operator: a neural operator for parametric partial differential equations

Reference 19

Resolution: metadata mismatch; arxiv_id, observed 2026-06-30T12:04:38.635789Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 30220e6c-491d-4ff2-82a4-03b6f9289f48 · inbound

Small Models, Strong Priors: Architectural Inductive Bias for Parameter-Efficient Neural PDE Solvers cites this paper.

Small Models, Strong Priors: Architectural Inductive Bias for Parameter-Efficient Neural PDE Solvers Wavelet neural operator: a neural operator for parametric partial differential equations

Reference 40

Resolution: metadata mismatch; arxiv_id, observed 2026-06-29T22:34:02.770896Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 7b0061e9-5b92-41fd-8954-39221eb01ef9 · inbound

Functional Attention: From Pairwise Affinities to Functional Correspondences cites this paper.

Functional Attention: From Pairwise Affinities to Functional Correspondences Wavelet neural operator: a neural operator for parametric partial differential equations

Reference 12

Resolution: verified exact; arxiv_id, observed 2026-06-29T00:02:50.332691Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 1caa6f57-f375-4bbb-bc1a-985c9b97dc4a · inbound

Spectral Audit of In-Context Operator Networks cites this paper.

Spectral Audit of In-Context Operator Networks Wavelet neural operator: a neural operator for parametric partial differential equations

Reference 4

Resolution: metadata mismatch; arxiv_id, observed 2026-07-02T00:06:24.631479Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 346d8283-146f-443f-99e9-2d5eb201645d · inbound

Operator Learning on the Data-Driven Multiscale Space for Nonlinear Flow in Random Heterogeneous Porous Media cites this paper.

Operator Learning on the Data-Driven Multiscale Space for Nonlinear Flow in Random Heterogeneous Porous Media Wavelet neural operator: a neural operator for parametric partial differential equations

Reference 25

Resolution: metadata mismatch; arxiv_id, observed 2026-07-04T20:30:08.144530Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 85498c64-7f02-4645-84da-253cdb7a928b · inbound

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

GAIA: Geometry-Adaptive Operator Learning for Forward and Inverse Problems Wavelet neural operator: a neural operator for parametric partial differential equations

Reference 26

Resolution: metadata mismatch; arxiv_id, observed 2026-07-02T15:37:05.865603Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 7586a588-b7b0-4e53-b8c0-7c63cf730030 · inbound

Mastering Stochastic OLG Models in Continuous Time cites this paper.

Mastering Stochastic OLG Models in Continuous Time Wavelet neural operator: a neural operator for parametric partial differential equations

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-12T05:35:48.099172Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.