Paper Citation Record · LEDGER

Learning convolution operators on compact Abelian groups

As of 11 August 2026, this Paper Citation Record lists 48 of 48 outbound references and 0 inbound Pith citation observations for arXiv:2501.05279.

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pith.paper-citation-record.v1
2501.05279 v3

Coverage vector

measured 48 of 48 reference resolution

Typed states for the displayed outbound observations.

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measured 48 of 48 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.

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measured 0 of 1 external citation measurements

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Source: cited_works

Reference resolution

48 of 48 outbound references displayed

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External citation measurements

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Outbound references

Observation c871ab6e-1a6a-42b0-85fe-64b5887428f1 · outbound

This paper cites Solving inverse prob- lems using data-driven models.

Learning convolution operators on compact Abelian groups Solving inverse prob- lems using data-driven models

Reference 1

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Observation 7c6f4dfd-95f7-4a47-96b7-d73937b04c34 · outbound

This paper cites Harmonic Analysis on Semigroups: Theory of Positive Definite and Related Functions.

Learning convolution operators on compact Abelian groups Harmonic Analysis on Semigroups: Theory of Positive Definite and Related Functions

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:26:00.288589Z

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Observation 0d5f279e-87af-41de-b568-a7862974da32 · outbound

This paper cites A double regularization approach for inverse problems with noisy data and inexact operator.

Learning convolution operators on compact Abelian groups A double regularization approach for inverse problems with noisy data and inexact operator

Reference 3

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Observation e3b5923c-0b52-4d59-914c-45b4670906c7 · outbound

This paper cites Learning Green’s functions associ- ated with time-dependent partial differential equations.

Learning convolution operators on compact Abelian groups Learning Green’s functions associ- ated with time-dependent partial differential equations

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:26:00.263144Z

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Observation c9ee455f-9bca-4a2f-9470-205c9f735bc5 · outbound

This paper cites Brunton and J.

Learning convolution operators on compact Abelian groups Brunton and J

Reference 5

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Observation 176cdce0-bf8c-40bc-82f5-69661b6fd92c · outbound

This paper cites Regularization methods for blind deconvolution and blind source separation problems.

Learning convolution operators on compact Abelian groups Regularization methods for blind deconvolution and blind source separation problems

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:26:00.235209Z

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Observation 1f52bb0f-eaf7-4bde-af09-aa4a6db00493 · outbound

This paper cites Optimal rates for the regularized least-squares algo- rithm.

Learning convolution operators on compact Abelian groups Optimal rates for the regularized least-squares algo- rithm

Reference 7

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Observation f4c06ae2-bd9e-42ac-9876-78f9fcbbd578 · outbound

This paper cites Vector valued reproducing kernel Hilbert spaces of integrable functions and Mercer theorem.

Learning convolution operators on compact Abelian groups Vector valued reproducing kernel Hilbert spaces of integrable functions and Mercer theorem

Reference 8

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Observation ec9cb6cb-44aa-4100-b307-dd2c9c1ec9b4 · outbound

This paper cites Fast motion deblurring.

Learning convolution operators on compact Abelian groups Fast motion deblurring

Reference 9

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Observation e925a79b-3cd8-4a72-9f5e-769cfff6c1d3 · outbound

This paper cites Asymptotics of prediction in functional linear regression with functional outputs.

Learning convolution operators on compact Abelian groups Asymptotics of prediction in functional linear regression with functional outputs

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:26:00.183017Z

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Observation 846c0509-dead-48b7-866c-4a5fbdb85bb5 · outbound

This paper cites Conver- gence rates for learning linear operators from noisy data.

Learning convolution operators on compact Abelian groups Conver- gence rates for learning linear operators from noisy data

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:26:00.169475Z

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Observation 925b264e-c630-4049-aae9-38dd6b7618ba · outbound

This paper cites Nonlinear image processing using artificial neural networks.

Learning convolution operators on compact Abelian groups Nonlinear image processing using artificial neural networks

Reference 12

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Observation 10e1864a-3981-47db-904e-15cacc39fe5f · outbound

This paper cites Learning from examples as an inverse problem.

Learning convolution operators on compact Abelian groups Learning from examples as an inverse problem

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:26:00.142589Z

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Observation b067dbe8-c98e-4ac5-a845-c08e74cc6472 · outbound

This paper cites Egmont-Petersen, D.

Learning convolution operators on compact Abelian groups Egmont-Petersen, D

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:26:00.128937Z

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Observation 7b474ed0-f1b0-4ba4-ba63-e4b1390bf7aa · outbound

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Learning convolution operators on compact Abelian groups Unresolved cited work

Reference 15

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Observation 1beb083c-8678-421d-a316-0587cd96e541 · outbound

This paper cites Physics-informed deep neural operator networks.

Learning convolution operators on compact Abelian groups Physics-informed deep neural operator networks

Reference 16

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Observation a9f6a22b-ff69-4f19-8f11-6693b6b97039 · outbound

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Learning convolution operators on compact Abelian groups Unresolved cited work

Reference 17

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Observation b5c744e6-0500-4b43-8f81-569b783d5217 · outbound

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Learning convolution operators on compact Abelian groups Unresolved cited work

Reference 18

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Observation 3b82fc0a-30fc-4ecd-a76e-7363a9fafc63 · outbound

This paper cites A note on estimation in Hilbertian linear models.

Learning convolution operators on compact Abelian groups A note on estimation in Hilbertian linear models

Reference 19

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Observation 6ed4b88d-bbb7-44e8-8e07-0aefac48f545 · outbound

This paper cites A general framework for soft-shrinkage with applications to blind deconvolution and wavelet denoising.

Learning convolution operators on compact Abelian groups A general framework for soft-shrinkage with applications to blind deconvolution and wavelet denoising

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:26:00.050278Z

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Observation 9620fe97-5a53-44d0-a43e-11868a917203 · outbound

This paper cites Operator-valued kernels for learning from functional response data.

Learning convolution operators on compact Abelian groups Operator-valued kernels for learning from functional response data

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:26:00.036626Z

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Observation 2d240542-9651-4123-905e-cedd834a03db · outbound

This paper cites Neural operator: Learning maps between function spaces.

Learning convolution operators on compact Abelian groups Neural operator: Learning maps between function spaces

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:26:00.023305Z

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Observation e98025c1-b92c-409b-b99f-cd4638c239b3 · outbound

This paper cites Operator Learning: Algorithms and Analysis.

Learning convolution operators on compact Abelian groups Operator Learning: Algorithms and Analysis

Reference 23

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Observation 09097e33-65ba-4fa8-a7d0-322a63a509ed · outbound

This paper cites Kundur and D.

Learning convolution operators on compact Abelian groups Kundur and D

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:26:00.010428Z

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Observation bd4e422c-4342-4e15-b77e-082aeb37d9ee · outbound

This paper cites An RKHS framework for functional data analysis.

Learning convolution operators on compact Abelian groups An RKHS framework for functional data analysis

Reference 25

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Observation 17d23f6d-9048-499d-a30e-d9d4dcddcfa3 · outbound

This paper cites Minimax prediction for functional linear regression with functional responses in reproducing kernel hilbert spaces.

Learning convolution operators on compact Abelian groups Minimax prediction for functional linear regression with functional responses in reproducing kernel hilbert spaces

Reference 26

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Observation ddcc3e68-b052-4d89-80b3-86f19c2f2267 · outbound

This paper cites System Identification: Theory for the User.

Learning convolution operators on compact Abelian groups System Identification: Theory for the User

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:25:59.968646Z

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Observation d21dac49-c044-41e3-b84f-75ff1f03619f · outbound

This paper cites Linear processes for functional data.

Learning convolution operators on compact Abelian groups Linear processes for functional data

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:25:59.955802Z

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Observation ad7bcd95-e870-4181-82fe-0ac906ab335e · outbound

This paper cites On some extensions of Bernstein’s inequality for self-adjoint operators.

Learning convolution operators on compact Abelian groups On some extensions of Bernstein’s inequality for self-adjoint operators

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:25:59.942304Z

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Observation 09a0739e-a89a-4ef7-9e1f-afbb0c527adf · outbound

This paper cites Learning linear operators: Infinite-dimensional regression as a well-behaved non-compact inverse problem.

Learning convolution operators on compact Abelian groups Learning linear operators: Infinite-dimensional regression as a well-behaved non-compact inverse problem

Reference 30

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Observation 4ba4acb0-80eb-44b3-a7c2-da3887807608 · outbound

This paper cites Optimum bounds for the distributions of martingales in Banach spaces.

Learning convolution operators on compact Abelian groups Optimum bounds for the distributions of martingales in Banach spaces

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:25:59.928924Z

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Observation f1268c96-405a-48b0-9473-62654a8f74b7 · outbound

This paper cites Optimum bounds for the distributions of martingales in Banach spaces.

Learning convolution operators on compact Abelian groups Optimum bounds for the distributions of martingales in Banach spaces

Reference 32

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Observation 062dafbd-ea31-4a63-a6ce-23e8b3716785 · outbound

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Learning convolution operators on compact Abelian groups Unresolved cited work

Reference 33

Resolution: unresolved; raw_fallback, observed 2026-08-10T21:25:59.900781Z

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Observation b9e73ef7-038f-4672-8fa9-4a546dd4f177 · outbound

This paper cites Functional regression with repeated eigenvalues.

Learning convolution operators on compact Abelian groups Functional regression with repeated eigenvalues

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:25:59.888210Z

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Observation f7e19f89-5d0b-46ee-9295-654d8423ffaf · outbound

This paper cites Model selection and error esti- mation for regularized least-squares algorithm in learning theory.

Learning convolution operators on compact Abelian groups Model selection and error esti- mation for regularized least-squares algorithm in learning theory

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:25:59.875920Z

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Observation 39934621-2035-45cb-8c88-2b407dcf300e · outbound

This paper cites Less is more: Nystr¨ om computa- tional regularization.

Learning convolution operators on compact Abelian groups Less is more: Nystr¨ om computa- tional regularization

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:25:59.862079Z

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Observation d2157c08-88aa-4e18-8678-d00ef5dfdbcc · outbound

This paper cites On the Sample Complexity of Subspace Learning.

Learning convolution operators on compact Abelian groups On the Sample Complexity of Subspace Learning

Reference 37

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Observation 5b7cc81b-3c02-4ef8-addb-84a9a35b4cc6 · outbound

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Learning convolution operators on compact Abelian groups Fourier Analysis on Groups

Reference 38

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Observation 7d5efdc3-ddcf-402b-a2d7-17cc1d0ab68f · outbound

This paper cites Partial differential equations in action: from modelling to theory, volume 99.

Learning convolution operators on compact Abelian groups Partial differential equations in action: from modelling to theory, volume 99

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:25:59.835161Z

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Observation ffc70a20-8b34-4dd2-ad87-d13e79389dcc · outbound

This paper cites Dis- criminative non-blind deblurring.

Learning convolution operators on compact Abelian groups Dis- criminative non-blind deblurring

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:25:59.821180Z

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Observation bbb94451-43e0-4566-8e6a-a03d3c34b2e2 · outbound

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Learning convolution operators on compact Abelian groups Learning to deblur

Reference 41

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:25:59.806954Z

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Observation a57df668-913c-419c-aa23-d7d552b1a476 · outbound

This paper cites Sous-espaces hilbertiens d’espaces vectoriels topologiques et noyaux associ´ es (noyaux reproduisants).

Learning convolution operators on compact Abelian groups Sous-espaces hilbertiens d’espaces vectoriels topologiques et noyaux associ´ es (noyaux reproduisants)

Reference 42

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:25:59.792261Z

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Observation 396e0013-1305-4c36-8ca2-31499cffdf39 · outbound

This paper cites Learning Schatten--von Neumann Operators.

Learning convolution operators on compact Abelian groups Learning Schatten--von Neumann Operators

Reference 43

Resolution: unresolved; no resolver link, observed 2026-08-10T21:25:59.604805Z

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Observation c2c2705b-c542-40ea-bf1f-96f31138271d · outbound

This paper cites Bayesian inverse problems with unknown operators.

Learning convolution operators on compact Abelian groups Bayesian inverse problems with unknown operators

Reference 44

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:25:59.778742Z

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Observation 5c25a0e7-5c90-4b97-becf-be1a63da0753 · outbound

This paper cites User-friendly tools for random matrices: An introduction.

Learning convolution operators on compact Abelian groups User-friendly tools for random matrices: An introduction

Reference 45

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:25:59.764364Z

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Observation 25808c4d-b3c0-4187-a892-c2fa23897a28 · outbound

This paper cites Two-phase kernel estimation for robust motion deblurring.

Learning convolution operators on compact Abelian groups Two-phase kernel estimation for robust motion deblurring

Reference 46

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:25:59.749510Z

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Observation 66a86bb3-8625-496a-81e7-36c4f326fb61 · outbound

This paper cites Tony Cai.

Learning convolution operators on compact Abelian groups Tony Cai

Reference 47

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:25:59.735643Z

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Observation c25c9781-7e6b-4323-b8e3-b139deb6b548 · outbound

This paper cites Minimax rates for learning kernels in operators.

Learning convolution operators on compact Abelian groups Minimax rates for learning kernels in operators

Reference 48

Resolution: unresolved; no resolver link, observed 2026-08-10T21:25:59.624267Z

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