Paper Citation Record · LEDGER

Stabilizing and Solving Unique Continuation Problems by Parameterizing Data and Learning Finite Element Solution Operators

As of 19 August 2026, this Paper Citation Record lists 45 of 45 outbound references and 0 inbound Pith citation observations for arXiv:2412.04409.

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

pith.paper-citation-record.v1
2412.04409 v3

Coverage vector

measured 45 of 45 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T21:31:32.129155Z

measured 45 of 45 standing notices

One-hop event checks from named stored sources.

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

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

45 of 45 outbound references displayed

verified exact14
verified fuzzy1
unresolved27
parse uncertain0
malformed identifier2
metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation e4abc9a3-d3a1-4316-bb48-6f6bac68a750 · outbound

This paper cites Alessandrini, L.

Stabilizing and Solving Unique Continuation Problems by Parameterizing Data and Learning Finite Element Solution Operators Alessandrini, L

Reference 1

Resolution: verified exact; doi, observed 2026-08-11T21:31:32.425873Z

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.

Observation 845cdcc8-ca65-4fc1-aba8-7c4bf14f797e · outbound

This paper cites Arridge, P.

Stabilizing and Solving Unique Continuation Problems by Parameterizing Data and Learning Finite Element Solution Operators Arridge, P

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-11T21:31:32.006322Z

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Observation 7277b283-dbed-4ac6-b432-f79c9e50ff2f · outbound

This paper cites Variationally Correct Neural Residual Regression for Parametric PDEs: On the Viability of Controlled Accuracy.

Stabilizing and Solving Unique Continuation Problems by Parameterizing Data and Learning Finite Element Solution Operators Variationally Correct Neural Residual Regression for Parametric PDEs: On the Viability of Controlled Accuracy

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-11T21:31:32.009456Z

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Observation 2d0aab5c-f44f-4698-a728-0df64c2f0308 · outbound

This paper cites Berg and K.

Stabilizing and Solving Unique Continuation Problems by Parameterizing Data and Learning Finite Element Solution Operators Berg and K

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-11T21:31:32.012863Z

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Unavailable: canonical work link unavailable.

Observation e30836dc-d24c-4792-a2f4-8fbab160e061 · outbound

This paper cites Boulakia, C.

Stabilizing and Solving Unique Continuation Problems by Parameterizing Data and Learning Finite Element Solution Operators Boulakia, C

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T21:31:33.099208Z

Source-reported events for the cited work

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Observation 3544ca79-7bee-42da-a7a7-b7636a2b0760 · outbound

This paper cites Bourgeois.

Stabilizing and Solving Unique Continuation Problems by Parameterizing Data and Learning Finite Element Solution Operators Bourgeois

Reference 6

Resolution: verified exact; doi, observed 2026-08-11T21:31:32.409095Z

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.

Observation dfd9b34c-3b8d-4ff4-9144-e7bc91b20535 · outbound

This paper cites an unresolved cited work.

Stabilizing and Solving Unique Continuation Problems by Parameterizing Data and Learning Finite Element Solution Operators Unresolved cited work

Reference 7

Resolution: verified exact; doi, observed 2026-08-11T21:31:32.402702Z

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.

Observation f218a384-7423-4ce3-8cb7-63b7cd669bc1 · outbound

This paper cites an unresolved cited work.

Stabilizing and Solving Unique Continuation Problems by Parameterizing Data and Learning Finite Element Solution Operators Unresolved cited work

Reference 8

Resolution: verified exact; doi, observed 2026-08-11T21:31:32.394484Z

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.

Observation ea21a6fb-4ce2-4088-a27d-5481cfca2cd7 · outbound

This paper cites Burman, P.

Stabilizing and Solving Unique Continuation Problems by Parameterizing Data and Learning Finite Element Solution Operators Burman, P

Reference 9

Resolution: verified exact; doi, observed 2026-08-11T21:31:32.386245Z

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.

Observation 7e0ca8fa-6089-494b-8e02-7dd7fc01aa6a · outbound

This paper cites Burman, P.

Stabilizing and Solving Unique Continuation Problems by Parameterizing Data and Learning Finite Element Solution Operators Burman, P

Reference 10

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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.

Observation f1ce21eb-1402-4bf2-ae58-8a9e6783b179 · outbound

This paper cites Burman, M.

Stabilizing and Solving Unique Continuation Problems by Parameterizing Data and Learning Finite Element Solution Operators Burman, M

Reference 11

Resolution: verified exact; doi, observed 2026-08-11T21:31:32.378115Z

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.

Observation 631724f6-3f82-4e48-ac77-fabb5dd55688 · outbound

This paper cites Burman and L.

Stabilizing and Solving Unique Continuation Problems by Parameterizing Data and Learning Finite Element Solution Operators Burman and L

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-11T21:31:32.034974Z

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Observation 974e7a09-62f0-4803-b59d-2c729304887c · outbound

This paper cites Computational unique continuation with finite dimensional Neumann trace.

Stabilizing and Solving Unique Continuation Problems by Parameterizing Data and Learning Finite Element Solution Operators Computational unique continuation with finite dimensional Neumann trace

Reference 13

Resolution: verified exact; local_arxiv, observed 2026-08-11T21:31:32.365774Z

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.

Observation 90d63762-b35a-4764-af46-1d2880ab43da · outbound

This paper cites an unresolved cited work.

Stabilizing and Solving Unique Continuation Problems by Parameterizing Data and Learning Finite Element Solution Operators Unresolved cited work

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-11T21:31:32.040597Z

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Observation c2753157-665a-4cd1-b6c0-9ebe8e4f6d12 · outbound

This paper cites an unresolved cited work.

Stabilizing and Solving Unique Continuation Problems by Parameterizing Data and Learning Finite Element Solution Operators Unresolved cited work

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-11T21:31:32.043996Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1761df1e-1190-440f-9a65-53ee389f4025 · outbound

This paper cites Chung, K.

Stabilizing and Solving Unique Continuation Problems by Parameterizing Data and Learning Finite Element Solution Operators Chung, K

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-11T21:31:32.046575Z

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Observation cac5adfc-6f75-46b3-b3c4-836b91008683 · outbound

This paper cites an unresolved cited work.

Stabilizing and Solving Unique Continuation Problems by Parameterizing Data and Learning Finite Element Solution Operators Unresolved cited work

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-11T21:31:32.048957Z

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Observation ef0cd833-ff0d-49ea-bf47-aa701c50f4d0 · outbound

This paper cites Dahmen, H.

Stabilizing and Solving Unique Continuation Problems by Parameterizing Data and Learning Finite Element Solution Operators Dahmen, H

Reference 18

Resolution: verified exact; raw_fallback, observed 2026-08-11T21:31:32.796870Z

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.

Observation f4506389-9b1c-4aaa-89b5-dd9bc441dab6 · outbound

This paper cites Dasgupta, D.

Stabilizing and Solving Unique Continuation Problems by Parameterizing Data and Learning Finite Element Solution Operators Dasgupta, D

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-11T21:31:32.054528Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d3bb5fb2-bf43-47e0-a5a1-fcc5a86ba473 · outbound

This paper cites The Cost-Accuracy Trade-Off In Operator Learning With Neural Networks.

Stabilizing and Solving Unique Continuation Problems by Parameterizing Data and Learning Finite Element Solution Operators The Cost-Accuracy Trade-Off In Operator Learning With Neural Networks

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-11T21:31:32.057028Z

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Unavailable: canonical work link unavailable.

Observation 7ebeaad7-375d-4fa0-ab54-bd0e7368ba1a · outbound

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Stabilizing and Solving Unique Continuation Problems by Parameterizing Data and Learning Finite Element Solution Operators Unresolved cited work

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-11T21:31:32.060082Z

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Unavailable: canonical work link unavailable.

Observation 6057cda9-4081-4787-ba75-0386a39b06c0 · outbound

This paper cites Escapil-Inchausp´ e and G.

Stabilizing and Solving Unique Continuation Problems by Parameterizing Data and Learning Finite Element Solution Operators Escapil-Inchausp´ e and G

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-11T21:31:32.062597Z

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Unavailable: canonical work link unavailable.

Observation e1609aec-31fc-4c3a-a434-3066a5f83c3e · outbound

This paper cites an unresolved cited work.

Stabilizing and Solving Unique Continuation Problems by Parameterizing Data and Learning Finite Element Solution Operators Unresolved cited work

Reference 23

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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.

Observation b0346532-cb31-4760-8c48-6d49409043c9 · outbound

This paper cites Fulton, V.

Stabilizing and Solving Unique Continuation Problems by Parameterizing Data and Learning Finite Element Solution Operators Fulton, V

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-11T21:31:32.067937Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation def0bcdc-81c5-4a09-9c60-fa9dafe17dcb · outbound

This paper cites an unresolved cited work.

Stabilizing and Solving Unique Continuation Problems by Parameterizing Data and Learning Finite Element Solution Operators Unresolved cited work

Reference 25

Resolution: verified exact; doi, observed 2026-08-11T21:31:32.318501Z

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.

Observation 0e9832b7-8b77-4e01-8fab-547053569e05 · outbound

This paper cites Ghattas and K.

Stabilizing and Solving Unique Continuation Problems by Parameterizing Data and Learning Finite Element Solution Operators Ghattas and K

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-11T21:31:32.073101Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9f87f962-3153-410f-a7f2-d21875624bbb · outbound

This paper cites Ivagnes, N.

Stabilizing and Solving Unique Continuation Problems by Parameterizing Data and Learning Finite Element Solution Operators Ivagnes, N

Reference 27

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Source-reported events for the cited work

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Observation d82ddba3-9642-4be4-9b1e-8fcf3bc926e2 · outbound

This paper cites an unresolved cited work.

Stabilizing and Solving Unique Continuation Problems by Parameterizing Data and Learning Finite Element Solution Operators Unresolved cited work

Reference 28

Resolution: unresolved; raw_fallback, observed 2026-08-11T21:31:33.090990Z

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.

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

This paper cites Neural Operator: Learning Maps Between Function Spaces.

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

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-11T21:31:32.080748Z

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Unavailable: canonical work link unavailable.

Observation 7b22a6bc-4b74-481f-ac52-088753d755f3 · outbound

This paper cites Learning Nonlinear Finite Element Solution Operators using Multilayer Perceptrons and Energy Minimization.

Stabilizing and Solving Unique Continuation Problems by Parameterizing Data and Learning Finite Element Solution Operators Learning Nonlinear Finite Element Solution Operators using Multilayer Perceptrons and Energy Minimization

Reference 30

Resolution: verified exact; local_arxiv, observed 2026-08-11T21:31:32.290641Z

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.

Observation c15d9aa6-bcab-4ade-a6c5-1fc8d73a15bf · outbound

This paper cites Lieberman, K.

Stabilizing and Solving Unique Continuation Problems by Parameterizing Data and Learning Finite Element Solution Operators Lieberman, K

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-11T21:31:32.086611Z

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Unavailable: canonical work link unavailable.

Observation d3d75e17-0d39-4c01-81f3-efc654acf408 · outbound

This paper cites Logg, K.-A.

Stabilizing and Solving Unique Continuation Problems by Parameterizing Data and Learning Finite Element Solution Operators Logg, K.-A

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-11T21:31:32.089310Z

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Unavailable: canonical work link unavailable.

Observation 864bff77-efa7-4efc-84ee-32f00b4542b4 · outbound

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Stabilizing and Solving Unique Continuation Problems by Parameterizing Data and Learning Finite Element Solution Operators Unresolved cited work

Reference 33

Resolution: unresolved; no resolver link, observed 2026-08-11T21:31:32.091937Z

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Unavailable: canonical work link unavailable.

Observation f7a584b5-4aa1-433a-a04b-ef187ea549bf · outbound

This paper cites an unresolved cited work.

Stabilizing and Solving Unique Continuation Problems by Parameterizing Data and Learning Finite Element Solution Operators Unresolved cited work

Reference 34

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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.

Observation 9dd24ce2-83f7-4b84-8395-a4913540472b · outbound

This paper cites Mishra and R.

Stabilizing and Solving Unique Continuation Problems by Parameterizing Data and Learning Finite Element Solution Operators Mishra and R

Reference 35

Resolution: unresolved; no resolver link, observed 2026-08-11T21:31:32.097980Z

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Unavailable: canonical work link unavailable.

Observation 701293af-f48e-47cb-bc3a-9bd8a0b709f1 · outbound

This paper cites an unresolved cited work.

Stabilizing and Solving Unique Continuation Problems by Parameterizing Data and Learning Finite Element Solution Operators Unresolved cited work

Reference 36

Resolution: verified exact; doi, observed 2026-08-11T21:31:32.244055Z

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.

Observation 6ae7d70f-1ed2-463a-8417-1ee117cab7d1 · outbound

This paper cites Pakravan, P.

Stabilizing and Solving Unique Continuation Problems by Parameterizing Data and Learning Finite Element Solution Operators Pakravan, P

Reference 37

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Unavailable: canonical work link unavailable.

Observation f240a8a8-e60d-458e-bc4e-a58e719e6755 · outbound

This paper cites Patel, D.

Stabilizing and Solving Unique Continuation Problems by Parameterizing Data and Learning Finite Element Solution Operators Patel, D

Reference 38

Resolution: unresolved; no resolver link, observed 2026-08-11T21:31:32.107568Z

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Unavailable: canonical work link unavailable.

Observation 6ec41157-aeec-4c02-82d5-e22f1c181147 · outbound

This paper cites Raissi, P.

Stabilizing and Solving Unique Continuation Problems by Parameterizing Data and Learning Finite Element Solution Operators Raissi, P

Reference 39

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Unavailable: canonical work link unavailable.

Observation 105de9bc-27e3-46d7-afbc-df018b80ad93 · outbound

This paper cites an unresolved cited work.

Stabilizing and Solving Unique Continuation Problems by Parameterizing Data and Learning Finite Element Solution Operators Unresolved cited work

Reference 40

Resolution: unresolved; no resolver link, observed 2026-08-11T21:31:32.115198Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ad1a213d-c891-4bcc-8785-b0263f016eb0 · outbound

This paper cites Riffaud, M.

Stabilizing and Solving Unique Continuation Problems by Parameterizing Data and Learning Finite Element Solution Operators Riffaud, M

Reference 41

Resolution: verified exact; doi, observed 2026-08-11T21:31:32.175321Z

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.

Observation 3e882ce9-6aaf-4e28-b47a-9a7a16381999 · outbound

This paper cites Romor, G.

Stabilizing and Solving Unique Continuation Problems by Parameterizing Data and Learning Finite Element Solution Operators Romor, G

Reference 42

Resolution: unresolved; no resolver link, observed 2026-08-11T21:31:32.120964Z

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Observation 65146e0e-f456-408b-aa80-d676c174df1d · outbound

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Stabilizing and Solving Unique Continuation Problems by Parameterizing Data and Learning Finite Element Solution Operators Sharp et al

Reference 43

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Unavailable: canonical work link unavailable.

Observation 37fbdf50-5489-43fd-804e-637b1674e5f1 · outbound

This paper cites an unresolved cited work.

Stabilizing and Solving Unique Continuation Problems by Parameterizing Data and Learning Finite Element Solution Operators Unresolved cited work

Reference 44

Resolution: unresolved; no resolver link, observed 2026-08-11T21:31:32.126321Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation dcd04e1e-3810-4041-89de-3dd7f6af51da · outbound

This paper cites Zhang, T.

Stabilizing and Solving Unique Continuation Problems by Parameterizing Data and Learning Finite Element Solution Operators Zhang, T

Reference 45

Resolution: verified exact; doi, observed 2026-08-11T21:31:32.154626Z

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.

Pith citing papers

No inbound Pith citation observations are available.