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Paper Citation Record · LEDGER

A neural operator view on U-Nets for inverse imaging problems

As of 11 August 2026, this Paper Citation Record lists 53 of 53 outbound references and 0 inbound Pith citation observations for arXiv:2608.05839.

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

pith.paper-citation-record.v1
2608.05839 v1

Coverage vector

measured 53 of 53 reference resolution

Typed states for the displayed outbound observations.

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measured 53 of 53 standing notices

One-hop event checks from named stored sources.

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measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

53 of 53 outbound references displayed

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External citation measurements

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Outbound references

Observation 8be579d6-ba3d-44aa-825b-716a756c6fd0 · outbound

This paper cites an unresolved cited work.

A neural operator view on U-Nets for inverse imaging problems Unresolved cited work

Reference 1

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Observation f92d0f07-c713-43fc-aede-861dffe2a45b · outbound

This paper cites Gradient Step Denoiser for convergent Plug-and-Play.

A neural operator view on U-Nets for inverse imaging problems Gradient Step Denoiser for convergent Plug-and-Play

Reference 2

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Observation 4a58684a-0a40-41b9-970e-43b0024e2e32 · outbound

This paper cites Plug-and- Play priors for model based reconstruction.

A neural operator view on U-Nets for inverse imaging problems Plug-and- Play priors for model based reconstruction

Reference 3

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Observation d11b541e-a283-4f52-9a3e-8329e6a3361f · outbound

This paper cites Score-based diffusion models as principled priors for inverse imaging.

A neural operator view on U-Nets for inverse imaging problems Score-based diffusion models as principled priors for inverse imaging

Reference 4

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Observation 305750b8-7289-4bc9-9710-58c102e92002 · outbound

This paper cites Multilevel Diffusion: Infinite Dimensional Score- Based Diffusion Models for Image Generation.

A neural operator view on U-Nets for inverse imaging problems Multilevel Diffusion: Infinite Dimensional Score- Based Diffusion Models for Image Generation

Reference 5

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Observation 12d42682-6978-4f95-b10e-39bd8fcbd23e · outbound

This paper cites Score-Based Diffusion Models in Function Space.

A neural operator view on U-Nets for inverse imaging problems Score-Based Diffusion Models in Function Space

Reference 6

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Observation c8c611e0-44da-4a63-87ab-242cd0e2eb9b · outbound

This paper cites Generative modeling by estimating gradients of the data distribution.

A neural operator view on U-Nets for inverse imaging problems Generative modeling by estimating gradients of the data distribution

Reference 7

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Observation ba2fb29d-9e59-48f1-8457-7bed17489b16 · outbound

This paper cites Welker et al.Position-Blind Ptychography: Viability of image recon- struction via data-driven variational inference (in preparation).

A neural operator view on U-Nets for inverse imaging problems Welker et al.Position-Blind Ptychography: Viability of image recon- struction via data-driven variational inference (in preparation)

Reference 8

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Observation 3fbf04ca-b9f7-48b7-8eb9-ce80e6b6c207 · outbound

This paper cites Provably Robust Score-Based Diffusion Poste- rior Sampling for Plug-and-Play Image Reconstruction.

A neural operator view on U-Nets for inverse imaging problems Provably Robust Score-Based Diffusion Poste- rior Sampling for Plug-and-Play Image Reconstruction

Reference 9

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Observation 592b1617-c803-49a8-abdb-f98f4beb0c4f · outbound

This paper cites Flow Matching: Markov kernels, stochastic processes and transport plans.

A neural operator view on U-Nets for inverse imaging problems Flow Matching: Markov kernels, stochastic processes and transport plans

Reference 10

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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Observation 95cc8c2e-9956-4566-a4a6-d7d41188bf22 · outbound

This paper cites U-Net: Convolutional Net- works for Biomedical Image Segmentation.

A neural operator view on U-Nets for inverse imaging problems U-Net: Convolutional Net- works for Biomedical Image Segmentation

Reference 11

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Observation 0934ea04-3fe3-447c-bcd2-8cffba8edccd · outbound

This paper cites Fully Convolutional Networks for Semantic Segmentation.

A neural operator view on U-Nets for inverse imaging problems Fully Convolutional Networks for Semantic Segmentation

Reference 12

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Observation 3b1e55ba-f8ea-48cf-bdf6-54eb2c02f43b · outbound

This paper cites End-to-end Res-Unet based reconstruction algorithm for photoacoustic imaging.

A neural operator view on U-Nets for inverse imaging problems End-to-end Res-Unet based reconstruction algorithm for photoacoustic imaging

Reference 13

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Observation d3a33db7-53fa-4c68-a523-d6507e25500c · outbound

This paper cites Plug-and-Play Image Restoration With Deep Denoiser Prior.

A neural operator view on U-Nets for inverse imaging problems Plug-and-Play Image Restoration With Deep Denoiser Prior

Reference 14

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Source-reported events for the cited work

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Observation 8206c3fe-41b6-482a-afaf-b02b34fcbbc8 · outbound

This paper cites Robustness and exploration of variational and machine learning approaches to inverse problems: An overview.

A neural operator view on U-Nets for inverse imaging problems Robustness and exploration of variational and machine learning approaches to inverse problems: An overview

Reference 15

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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Observation b9f19e1d-a630-4492-a403-9ae92b74562d · outbound

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

A neural operator view on U-Nets for inverse imaging problems Principled Approaches for Extending Neural Architectures to Function Spaces for Operator Learning

Reference 16

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Source-reported events for the cited work

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Observation f57f9d40-537f-45a3-ac55-a9f053ae85d5 · outbound

This paper cites Neural operator: Learning maps between function spaces with applications to pdes.

A neural operator view on U-Nets for inverse imaging problems Neural operator: Learning maps between function spaces with applications to pdes

Reference 17

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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Observation 16aa7b8b-7e8a-4019-8d67-8be5b3104386 · outbound

This paper cites Fourier Neural Operator for Parametric Partial Differential Equations.

A neural operator view on U-Nets for inverse imaging problems Fourier Neural Operator for Parametric Partial Differential Equations

Reference 18

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Observation 465ddc80-ad42-4d7f-b1e8-146d521d1c1c · outbound

This paper cites Accelerating phase field simulations through a hybrid adaptive Fourier neural operator with U-net backbone.

A neural operator view on U-Nets for inverse imaging problems Accelerating phase field simulations through a hybrid adaptive Fourier neural operator with U-net backbone

Reference 19

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verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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Observation eaf16b77-f5a7-4c67-a32a-d73aff5c8f1a · outbound

This paper cites Fourier neural operator with learned deformations for pdes on general geometries.

A neural operator view on U-Nets for inverse imaging problems Fourier neural operator with learned deformations for pdes on general geometries

Reference 20

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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Observation f900d060-d29c-4c0d-b8d2-d2c973d025b7 · outbound

This paper cites U-shaped factorized Fourier neural operator for solving partial differential equations.

A neural operator view on U-Nets for inverse imaging problems U-shaped factorized Fourier neural operator for solving partial differential equations

Reference 21

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verified exact
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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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Observation 97be5fb1-edb4-4608-bc80-bafd3a40ee0b · outbound

This paper cites U-NO: U-shaped Neural Operators.

A neural operator view on U-Nets for inverse imaging problems U-NO: U-shaped Neural Operators

Reference 22

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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Observation c4a9adff-5b6d-4627-8c30-02b88b1f74fd · outbound

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A neural operator view on U-Nets for inverse imaging problems Factorized Fourier Neural Operators

Reference 23

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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Observation 04b2dc67-f398-4dc7-9c01-3498f5773131 · outbound

This paper cites U-FNO—An enhanced Fourier neural operator-based deep-learning model for multiphase flow.

A neural operator view on U-Nets for inverse imaging problems U-FNO—An enhanced Fourier neural operator-based deep-learning model for multiphase flow

Reference 24

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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Observation f7e1dfda-7387-4f59-bca6-ed33aaeec9a1 · outbound

This paper cites Neural operators with localized integral and differential kernels.

A neural operator view on U-Nets for inverse imaging problems Neural operators with localized integral and differential kernels

Reference 25

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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Observation 0427003f-6d55-4aa2-84f9-8ce56eac0aaf · outbound

This paper cites Scalable and Equivariant Spherical CNNs by Discrete-Continuous (DISCO) Convolutions.

A neural operator view on U-Nets for inverse imaging problems Scalable and Equivariant Spherical CNNs by Discrete-Continuous (DISCO) Convolutions

Reference 26

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verified fuzzy
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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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Observation 8a80691a-f6ed-4906-8ee6-fd7c3af01af9 · outbound

This paper cites Aubert and P.

A neural operator view on U-Nets for inverse imaging problems Aubert and P

Reference 27

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verified exact
doi, observed 2026-08-07T22:38:15.028729Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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Observation 5ba9911b-b3bf-4da8-887d-3b8148b97634 · outbound

This paper cites Sch¨ onlieb.Partial differential equation methods for image in- painting.

A neural operator view on U-Nets for inverse imaging problems Sch¨ onlieb.Partial differential equation methods for image in- painting

Reference 28

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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Observation 7e6a4574-35f3-43dd-9d93-041903d640f5 · outbound

This paper cites Deep neural networks motivated by par- tial differential equations.

A neural operator view on U-Nets for inverse imaging problems Deep neural networks motivated by par- tial differential equations

Reference 29

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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Observation 6420be6e-907c-4c58-947f-aaca5b06ced1 · outbound

This paper cites Representation equivalent neural operators: a framework for alias-free operator learning.

A neural operator view on U-Nets for inverse imaging problems Representation equivalent neural operators: a framework for alias-free operator learning

Reference 30

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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Observation cfb24a90-5515-4dd1-8bda-a42957e239d8 · outbound

This paper cites Convolutional neural operators for robust and ac- curate learning of PDEs.

A neural operator view on U-Nets for inverse imaging problems Convolutional neural operators for robust and ac- curate learning of PDEs

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T22:38:16.596122Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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Observation e4447d4d-5b8c-4abc-8777-7e7f09344d75 · outbound

This paper cites Fourier Neural Operator for Image Classification.

A neural operator view on U-Nets for inverse imaging problems Fourier Neural Operator for Image Classification

Reference 32

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verified exact
arxiv_id_nonexistent, observed 2026-08-07T22:38:15.902319Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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Observation a43e82e2-fa1a-4fa8-bb91-468fa3196bd9 · outbound

This paper cites Resolution-Invariant Image Classification Based on Fourier Neural Operators.

A neural operator view on U-Nets for inverse imaging problems Resolution-Invariant Image Classification Based on Fourier Neural Operators

Reference 33

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no resolver link, observed 2026-08-07T22:38:14.833725Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T22:38:14.833725Z digest=sha256:a0867e3c02a3fa349613945591d2dd461cd0995f41cffc87579d90a6bc74af95

Observation d289f64b-96aa-4d26-9d6d-af98b76cb54f · outbound

This paper cites Super-Resolution Neural Operator.

A neural operator view on U-Nets for inverse imaging problems Super-Resolution Neural Operator

Reference 34

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T22:38:16.582813Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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Observation 515860d8-3205-4f01-a260-c4dc5695f90a · outbound

This paper cites On Universal Approxima- tion and Error Bounds for Fourier Neural Operators.

A neural operator view on U-Nets for inverse imaging problems On Universal Approxima- tion and Error Bounds for Fourier Neural Operators

Reference 35

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verified fuzzy
raw_fallback, observed 2026-08-07T22:38:16.569681Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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Observation b685c2af-6d7c-4137-a818-8aca7f7916ce · outbound

This paper cites Convergence Rates for Learning Linear Operators from Noisy Data.

A neural operator view on U-Nets for inverse imaging problems Convergence Rates for Learning Linear Operators from Noisy Data

Reference 36

Resolution
unresolved
no resolver link, observed 2026-08-07T22:38:14.846685Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation 212042fd-0e81-4bdf-97ab-7f6b0595a4b1 · outbound

This paper cites Reinhardt, S.

A neural operator view on U-Nets for inverse imaging problems Reinhardt, S

Reference 37

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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Observation adf7cb38-8ba5-4965-96b0-fb7b0770de9b · outbound

This paper cites Understanding the Expressivity and Trainability of Fourier Neural Operator: A Mean-Field Perspective.

A neural operator view on U-Nets for inverse imaging problems Understanding the Expressivity and Trainability of Fourier Neural Operator: A Mean-Field Perspective

Reference 38

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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Observation 58ce52a6-21c5-4290-ac60-08e465834edd · outbound

This paper cites Multi-level monte carlo training of neural oper- ators.

A neural operator view on U-Nets for inverse imaging problems Multi-level monte carlo training of neural oper- ators

Reference 39

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unresolved
no resolver link, observed 2026-08-07T22:38:14.859159Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation 4fc81a19-ce3f-4dd8-b4a9-eae6110bd276 · outbound

This paper cites SERNet-Former: Segmentation by Efficient-ResNet with Attention-Boosting Gates and Attention-Fusion Networks.

A neural operator view on U-Nets for inverse imaging problems SERNet-Former: Segmentation by Efficient-ResNet with Attention-Boosting Gates and Attention-Fusion Networks

Reference 40

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T22:38:16.527977Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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Observation 82f4a5ea-63e9-4fb1-a4c8-c315de09c544 · outbound

This paper cites Quarteroni, R.

A neural operator view on U-Nets for inverse imaging problems Quarteroni, R

Reference 41

Resolution
unresolved
no resolver link, observed 2026-08-07T22:38:14.866421Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T22:38:14.866421Z digest=sha256:d02ded8de8a2f74e5f06f56c296c86cb7dbd0fa2553827408cd87e527654f101

Observation e31d07a4-ea6a-49de-b2a8-a1cb9931eaea · outbound

This paper cites Grafakos.Classical Fourier Analysis.

A neural operator view on U-Nets for inverse imaging problems Grafakos.Classical Fourier Analysis

Reference 42

Resolution
unresolved
no resolver link, observed 2026-08-07T22:38:14.870284Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T22:38:14.870284Z digest=sha256:9efc2154d34f42e00bf19d6b61caefba0bbc0aca6f9f702424a63e79e6a7b7ae

Observation 1c1d570a-86d3-49c7-bcb2-b441144073ef · outbound

This paper cites Spectral Neural Operators.

A neural operator view on U-Nets for inverse imaging problems Spectral Neural Operators

Reference 43

Resolution
malformed identifier
raw_fallback, observed 2026-08-07T22:38:16.513504Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-07T22:38:14.874055Z digest=sha256:02233c8f5eb2272a598b319ea8c276d312e6f137fa17e4d8de0eedbbc59d8caa

Observation 889329e5-8e68-44d1-a69d-b0fb7806f507 · outbound

This paper cites Tr¨ oltzsch.Optimal Control of Partial Differential Equations.

A neural operator view on U-Nets for inverse imaging problems Tr¨ oltzsch.Optimal Control of Partial Differential Equations

Reference 44

Resolution
unresolved
no resolver link, observed 2026-08-07T22:38:14.878337Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T22:38:14.878337Z digest=sha256:6b256565f6fc260ee4d07fd49ea51f4d4b8200430caac8e3ae1501d1325f7ca3

Observation 45770f6d-dd73-472f-8829-53ac41e4c932 · outbound

This paper cites Deep Parametric Continuous Convolutional Neural Net- works.

A neural operator view on U-Nets for inverse imaging problems Deep Parametric Continuous Convolutional Neural Net- works

Reference 45

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T22:38:16.499509Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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Observation 40f1fa2b-f1c3-4166-a5c2-bc1c17a1181e · outbound

This paper cites an unresolved cited work.

A neural operator view on U-Nets for inverse imaging problems Unresolved cited work

Reference 46

Resolution
unresolved
raw_fallback, observed 2026-08-07T22:38:16.484479Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-07T22:38:14.885951Z digest=sha256:42cba1907643e566cf90e3770d73ae5cc06fe02f4130c2513c596d8293abd039

Observation f301d5b1-9356-4185-ba81-03d27612a684 · outbound

This paper cites an unresolved cited work.

A neural operator view on U-Nets for inverse imaging problems Unresolved cited work

Reference 47

Resolution
unresolved
no resolver link, observed 2026-08-07T22:38:14.889806Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T22:38:14.889806Z digest=sha256:e27d4f8eff1f8c319ae16199d2030420648aea37bf71b21d3b5150cdcc5351f5

Observation 95680684-2a36-4f87-8c78-38b6b69052c2 · outbound

This paper cites Ambrosio, N.

A neural operator view on U-Nets for inverse imaging problems Ambrosio, N

Reference 48

Resolution
unresolved
no resolver link, observed 2026-08-07T22:38:14.895203Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T22:38:14.895203Z digest=sha256:63da558199f82feac2891192439d8168450108b0c10ea7730c773b7ba66fb27d

Observation ba34faf1-3ab9-48ac-9129-934b812e3a9f · outbound

This paper cites an unresolved cited work.

A neural operator view on U-Nets for inverse imaging problems Unresolved cited work

Reference 49

Resolution
verified exact
doi, observed 2026-08-07T22:38:14.954493Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-07T22:38:14.899432Z digest=sha256:d54becc1f0da429f7a47cd8efb7f6f97a83a0e198e7652a14cfe9ffd5171d71f

Observation c31fe22b-5644-4b58-b9e5-0db5657c341c · outbound

This paper cites Neural ordinary differential equations.

A neural operator view on U-Nets for inverse imaging problems Neural ordinary differential equations

Reference 50

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T22:38:16.469070Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-07T22:38:14.903898Z digest=sha256:9a0f484814fa7ee25ef8680cc0025dc1eef7d76f67fc320787f7c3b87be087db

Observation 5db5f469-d70f-41e1-b8b1-e4c33236c385 · outbound

This paper cites A Proposal on Machine Learning via Dynamical Systems.

A neural operator view on U-Nets for inverse imaging problems A Proposal on Machine Learning via Dynamical Systems

Reference 51

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T22:38:16.455184Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-07T22:38:14.908324Z digest=sha256:3336e57fa50f8aa2d0ce3dbc2c23f1c99a2bdbc1308c0cf7b21db8709b46aacd

Observation 1d5fb15b-d78b-4d82-8b18-5c7b49717f13 · outbound

This paper cites Stable architectures for deep neural net- works.

A neural operator view on U-Nets for inverse imaging problems Stable architectures for deep neural net- works

Reference 52

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T22:38:16.440792Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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Observation b8e8a974-bcc6-48b5-8050-4f10f0d65f7e · outbound

This paper cites Deep limits of residual neural net- works.

A neural operator view on U-Nets for inverse imaging problems Deep limits of residual neural net- works

Reference 53

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T22:38:16.425712Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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Pith citing papers

No inbound Pith citation observations are available.