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Paper Citation Record · LEDGER

Neural network surrogates with uncertainty quantification for inverse problems in partial differential equations

As of 9 August 2026, this Paper Citation Record lists 85 of 85 outbound references and 0 inbound Pith citation observations for arXiv:2606.20417.

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

pith.paper-citation-record.v1
2606.20417 v1

Coverage vector

measured 85 of 85 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-06-26T18:04:07.755536Z

measured 85 of 85 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+00:00

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

85 of 85 outbound references displayed

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External citation measurements

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Outbound references

Observation a4a159c6-5d7d-405b-b30a-57de2d305b9e · outbound

This paper cites Babuška, F.

Neural network surrogates with uncertainty quantification for inverse problems in partial differential equations Babuška, F

Reference 1

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This paper cites an unresolved cited work.

Neural network surrogates with uncertainty quantification for inverse problems in partial differential equations Unresolved cited work

Reference 2

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Observation 737cf445-ad23-4f5b-a83e-84e0e3c9f63a · outbound

This paper cites Batlle, Y.

Neural network surrogates with uncertainty quantification for inverse problems in partial differential equations Batlle, Y

Reference 3

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Observation ae579539-e1ce-416d-83a6-d99089bb20af · outbound

This paper cites Benning and M.

Neural network surrogates with uncertainty quantification for inverse problems in partial differential equations Benning and M

Reference 4

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Observation 3c924666-3894-4322-8828-324b1535ac62 · outbound

This paper cites Berner, P.

Neural network surrogates with uncertainty quantification for inverse problems in partial differential equations Berner, P

Reference 5

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Neural network surrogates with uncertainty quantification for inverse problems in partial differential equations Unresolved cited work

Reference 6

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Neural network surrogates with uncertainty quantification for inverse problems in partial differential equations Unresolved cited work

Reference 7

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This paper cites an unresolved cited work.

Neural network surrogates with uncertainty quantification for inverse problems in partial differential equations Unresolved cited work

Reference 8

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This paper cites an unresolved cited work.

Neural network surrogates with uncertainty quantification for inverse problems in partial differential equations Unresolved cited work

Reference 9

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Neural network surrogates with uncertainty quantification for inverse problems in partial differential equations Unresolved cited work

Reference 10

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Neural network surrogates with uncertainty quantification for inverse problems in partial differential equations Unresolved cited work

Reference 11

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Observation 6b75312c-b0b2-4d67-bf59-95dec6f7babd · outbound

This paper cites Cuomo, V.

Neural network surrogates with uncertainty quantification for inverse problems in partial differential equations Cuomo, V

Reference 12

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Observation 56de442a-24b5-4662-a5d3-c2b11fb81b37 · outbound

This paper cites Daxberger*, A.

Neural network surrogates with uncertainty quantification for inverse problems in partial differential equations Daxberger*, A

Reference 13

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Neural network surrogates with uncertainty quantification for inverse problems in partial differential equations Unresolved cited work

Reference 14

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This paper cites De Ryck, S.

Neural network surrogates with uncertainty quantification for inverse problems in partial differential equations De Ryck, S

Reference 15

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Neural network surrogates with uncertainty quantification for inverse problems in partial differential equations De Ryck and S

Reference 16

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Observation c92abaeb-a7df-4c62-830a-2f9fe24da198 · outbound

This paper cites A deep surrogate approach to efficient Bayesian inversion in PDE and integral equation models.

Neural network surrogates with uncertainty quantification for inverse problems in partial differential equations A deep surrogate approach to efficient Bayesian inversion in PDE and integral equation models

Reference 17

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Observation b0436c5e-a73a-4141-b85e-2cc19d2132ed · outbound

This paper cites A hierarchical multilevel Markov chain Monte Carlo algorithm with applications to uncertainty quantification in subsurface flow.

Neural network surrogates with uncertainty quantification for inverse problems in partial differential equations A hierarchical multilevel Markov chain Monte Carlo algorithm with applications to uncertainty quantification in subsurface flow

Reference 18

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Neural network surrogates with uncertainty quantification for inverse problems in partial differential equations Unresolved cited work

Reference 19

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Observation 9a58badd-dad0-47fb-9685-8da99bd8ccd2 · outbound

This paper cites Efendiev, T.

Neural network surrogates with uncertainty quantification for inverse problems in partial differential equations Efendiev, T

Reference 20

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Neural network surrogates with uncertainty quantification for inverse problems in partial differential equations Unresolved cited work

Reference 21

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Neural network surrogates with uncertainty quantification for inverse problems in partial differential equations Unresolved cited work

Reference 22

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Neural network surrogates with uncertainty quantification for inverse problems in partial differential equations Unresolved cited work

Reference 23

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Neural network surrogates with uncertainty quantification for inverse problems in partial differential equations Goodfellow, Y

Reference 24

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This paper cites Gribonval, G.

Neural network surrogates with uncertainty quantification for inverse problems in partial differential equations Gribonval, G

Reference 25

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Neural network surrogates with uncertainty quantification for inverse problems in partial differential equations Unresolved cited work

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Neural network surrogates with uncertainty quantification for inverse problems in partial differential equations Unresolved cited work

Reference 27

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This paper cites Helin, A.

Neural network surrogates with uncertainty quantification for inverse problems in partial differential equations Helin, A

Reference 28

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Neural network surrogates with uncertainty quantification for inverse problems in partial differential equations Hennig, M

Reference 29

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Neural network surrogates with uncertainty quantification for inverse problems in partial differential equations Unresolved cited work

Reference 30

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This paper cites Hochreiter and J.

Neural network surrogates with uncertainty quantification for inverse problems in partial differential equations Hochreiter and J

Reference 31

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Neural network surrogates with uncertainty quantification for inverse problems in partial differential equations Hornik, M

Reference 32

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Neural network surrogates with uncertainty quantification for inverse problems in partial differential equations Immer, M

Reference 33

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This paper cites Jacot, F.

Neural network surrogates with uncertainty quantification for inverse problems in partial differential equations Jacot, F

Reference 34

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Neural network surrogates with uncertainty quantification for inverse problems in partial differential equations Unresolved cited work

Reference 35

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Neural network surrogates with uncertainty quantification for inverse problems in partial differential equations Kaipio and E

Reference 36

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Neural network surrogates with uncertainty quantification for inverse problems in partial differential equations Kaipio and E

Reference 37

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Neural network surrogates with uncertainty quantification for inverse problems in partial differential equations Kaltenbacher, A

Reference 38

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Neural network surrogates with uncertainty quantification for inverse problems in partial differential equations Unresolved cited work

Reference 39

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Neural network surrogates with uncertainty quantification for inverse problems in partial differential equations Adam: A Method for Stochastic Optimization

Reference 40

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Observation b9d1908c-c9a9-4d41-98db-639a478b9d03 · outbound

This paper cites Kovachki, Z.

Neural network surrogates with uncertainty quantification for inverse problems in partial differential equations Kovachki, Z

Reference 41

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Neural network surrogates with uncertainty quantification for inverse problems in partial differential equations Unresolved cited work

Reference 42

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This paper cites Kristiadi, M.

Neural network surrogates with uncertainty quantification for inverse problems in partial differential equations Kristiadi, M

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Neural network surrogates with uncertainty quantification for inverse problems in partial differential equations Unresolved cited work

Reference 44

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Neural network surrogates with uncertainty quantification for inverse problems in partial differential equations Unresolved cited work

Reference 45

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Neural network surrogates with uncertainty quantification for inverse problems in partial differential equations Unresolved cited work

Reference 46

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Neural network surrogates with uncertainty quantification for inverse problems in partial differential equations Unresolved cited work

Reference 47

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Neural network surrogates with uncertainty quantification for inverse problems in partial differential equations Unresolved cited work

Reference 48

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Neural network surrogates with uncertainty quantification for inverse problems in partial differential equations Unresolved cited work

Reference 49

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Neural network surrogates with uncertainty quantification for inverse problems in partial differential equations Unresolved cited work

Reference 50

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Observation c3310abf-c0ad-4792-86a6-4d69ff6fcc21 · outbound

This paper cites Marzouk and D.

Neural network surrogates with uncertainty quantification for inverse problems in partial differential equations Marzouk and D

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Neural network surrogates with uncertainty quantification for inverse problems in partial differential equations Unresolved cited work

Reference 52

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Observation 577a4196-0e0b-46b5-898b-0c711ee6f450 · outbound

This paper cites Matérn.Spatial variation, volume 36 ofLecture Notes in Statistics.

Neural network surrogates with uncertainty quantification for inverse problems in partial differential equations Matérn.Spatial variation, volume 36 ofLecture Notes in Statistics

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Neural network surrogates with uncertainty quantification for inverse problems in partial differential equations Unresolved cited work

Reference 54

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Observation 9a75e706-c9b7-4aba-a033-8e40b429eaf9 · outbound

This paper cites Metropolis, A.

Neural network surrogates with uncertainty quantification for inverse problems in partial differential equations Metropolis, A

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Observation 3dd4ab40-4ae3-4f9d-8d95-931588986d09 · outbound

This paper cites Mishra and R.

Neural network surrogates with uncertainty quantification for inverse problems in partial differential equations Mishra and R

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Neural network surrogates with uncertainty quantification for inverse problems in partial differential equations Unresolved cited work

Reference 57

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Observation b7c1489a-da27-4bd3-9028-ba5a39bc6714 · outbound

This paper cites Rahaman, A.

Neural network surrogates with uncertainty quantification for inverse problems in partial differential equations Rahaman, A

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Observation 7788b4a8-06a5-49ba-8a0f-9dc5b676514b · outbound

This paper cites Raissi, P.

Neural network surrogates with uncertainty quantification for inverse problems in partial differential equations Raissi, P

Reference 59

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Observation 763d3624-a145-44d1-9eab-d91a71a293e6 · outbound

This paper cites Raissi, P.

Neural network surrogates with uncertainty quantification for inverse problems in partial differential equations Raissi, P

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Observation d2ec679f-0795-4f19-a5dc-f76f27772f1a · outbound

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Neural network surrogates with uncertainty quantification for inverse problems in partial differential equations Unresolved cited work

Reference 61

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Observation 3d565c70-258b-4824-aa0d-ab0ce854a37d · outbound

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Neural network surrogates with uncertainty quantification for inverse problems in partial differential equations Unresolved cited work

Reference 62

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Observation 624ddae4-3efe-4b17-af56-a6913fea7d71 · outbound

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Neural network surrogates with uncertainty quantification for inverse problems in partial differential equations Unresolved cited work

Reference 63

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Observation b350dd26-49c2-4a87-b39d-259e6b60f1cc · outbound

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Neural network surrogates with uncertainty quantification for inverse problems in partial differential equations Unresolved cited work

Reference 64

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Observation 1ef88d89-4661-4958-a841-0c083f820d03 · outbound

This paper cites Sacks, W.

Neural network surrogates with uncertainty quantification for inverse problems in partial differential equations Sacks, W

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Observation 9eab7d49-4f82-410e-b7da-f59d4613598c · outbound

This paper cites Schwab and J.

Neural network surrogates with uncertainty quantification for inverse problems in partial differential equations Schwab and J

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Observation 2debfc7d-d8ff-4c9a-8179-3b1201df25da · outbound

This paper cites Sharma, S.

Neural network surrogates with uncertainty quantification for inverse problems in partial differential equations Sharma, S

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Observation 0a222700-6810-4aaa-9476-8d4b19e5a83d · outbound

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Neural network surrogates with uncertainty quantification for inverse problems in partial differential equations Unresolved cited work

Reference 68

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Observation aa81e5a5-899c-4bd4-864a-2870de9fd762 · outbound

This paper cites Sirignano and K.

Neural network surrogates with uncertainty quantification for inverse problems in partial differential equations Sirignano and K

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Observation 7288972e-8948-4cdc-acff-3d5291c905d7 · outbound

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Neural network surrogates with uncertainty quantification for inverse problems in partial differential equations Unresolved cited work

Reference 70

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Observation cac1227d-892a-4edb-b3dd-3c6bea8f0c62 · outbound

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Neural network surrogates with uncertainty quantification for inverse problems in partial differential equations Unresolved cited work

Reference 71

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Observation 9dc2ce99-4b48-4fc1-8952-02eaa61449b6 · outbound

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Neural network surrogates with uncertainty quantification for inverse problems in partial differential equations Unresolved cited work

Reference 72

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Observation f5cd277a-e1f5-4044-ad47-396c378a1c75 · outbound

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Neural network surrogates with uncertainty quantification for inverse problems in partial differential equations Unresolved cited work

Reference 73

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Observation a2c69eb3-cfe8-46d4-b3ba-37f77eb152d6 · outbound

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Neural network surrogates with uncertainty quantification for inverse problems in partial differential equations Unresolved cited work

Reference 74

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Observation f787dac5-6eef-4f9c-adef-8c93323bbc0d · outbound

This paper cites Tancik, P.

Neural network surrogates with uncertainty quantification for inverse problems in partial differential equations Tancik, P

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Observation 01f8d4e5-303b-4a0a-8420-7b6adad33272 · outbound

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Neural network surrogates with uncertainty quantification for inverse problems in partial differential equations Unresolved cited work

Reference 76

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Observation fde4715b-080e-4104-86cc-7b46bd700722 · outbound

This paper cites V oulodimos, N.

Neural network surrogates with uncertainty quantification for inverse problems in partial differential equations V oulodimos, N

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Observation b95a9d0d-930b-44e5-92e4-4262b1103a65 · outbound

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Neural network surrogates with uncertainty quantification for inverse problems in partial differential equations Unresolved cited work

Reference 78

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Observation fc466fe5-ec6f-4f2c-b2de-7b45ffc7f407 · outbound

This paper cites An Expert's Guide to Training Physics-informed Neural Networks.

Neural network surrogates with uncertainty quantification for inverse problems in partial differential equations An Expert's Guide to Training Physics-informed Neural Networks

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arxiv_id, observed 2026-07-04T03:29:29.693389Z

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Observation 76f878ee-7d82-4c27-8b69-370e48949832 · outbound

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Neural network surrogates with uncertainty quantification for inverse problems in partial differential equations Unresolved cited work

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Observation 7d0f7634-bec8-4b43-81c8-f38508561f6c · outbound

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Neural network surrogates with uncertainty quantification for inverse problems in partial differential equations Unresolved cited work

Reference 81

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Observation a8f0c6d2-60b6-46cd-b866-6f9e55d61241 · outbound

This paper cites Wendland.Scattered data approximation, volume 17 ofCambridge Monographs on Applied and Computational Mathematics.

Neural network surrogates with uncertainty quantification for inverse problems in partial differential equations Wendland.Scattered data approximation, volume 17 ofCambridge Monographs on Applied and Computational Mathematics

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Observation b17c9036-5aeb-4c29-b29d-b0ba4bde49d5 · outbound

This paper cites The Case for Bayesian Deep Learning.

Neural network surrogates with uncertainty quantification for inverse problems in partial differential equations The Case for Bayesian Deep Learning

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Observation f09097eb-fe7a-491d-b2c0-a80374cc2ba7 · outbound

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Neural network surrogates with uncertainty quantification for inverse problems in partial differential equations Unresolved cited work

Reference 84

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Observation e5b198ed-e45f-41e8-b9f0-fd7efdcadd6e · outbound

This paper cites Xiu and G.

Neural network surrogates with uncertainty quantification for inverse problems in partial differential equations Xiu and G

Reference 85

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