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Paper Citation Record · LEDGER

Efficient Bayesian inversion for simultaneous estimation of geometry and spatial field using the Karhunen-Lo\`eve expansion

As of 13 August 2026, this Paper Citation Record lists 63 of 63 outbound references and 0 inbound Pith citation observations for arXiv:2412.11610.

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

pith.paper-citation-record.v1
2412.11610 v1

Coverage vector

measured 63 of 63 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T14:53:26.697415Z

measured 63 of 63 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

63 of 63 outbound references displayed

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  • verified fuzzy4
  • unresolved22
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation f2228d0f-4365-4886-a055-094fa5fc88d8 · outbound

This paper cites McLaughlin, L.

Efficient Bayesian inversion for simultaneous estimation of geometry and spatial field using the Karhunen-Lo\`eve expansion McLaughlin, L

Reference 1

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This paper cites an unresolved cited work.

Efficient Bayesian inversion for simultaneous estimation of geometry and spatial field using the Karhunen-Lo\`eve expansion Unresolved cited work

Reference 2

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This paper cites an unresolved cited work.

Efficient Bayesian inversion for simultaneous estimation of geometry and spatial field using the Karhunen-Lo\`eve expansion Unresolved cited work

Reference 3

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This paper cites an unresolved cited work.

Efficient Bayesian inversion for simultaneous estimation of geometry and spatial field using the Karhunen-Lo\`eve expansion Unresolved cited work

Reference 4

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This paper cites an unresolved cited work.

Efficient Bayesian inversion for simultaneous estimation of geometry and spatial field using the Karhunen-Lo\`eve expansion Unresolved cited work

Reference 5

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This paper cites Fathi, B.

Efficient Bayesian inversion for simultaneous estimation of geometry and spatial field using the Karhunen-Lo\`eve expansion Fathi, B

Reference 6

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This paper cites an unresolved cited work.

Efficient Bayesian inversion for simultaneous estimation of geometry and spatial field using the Karhunen-Lo\`eve expansion Unresolved cited work

Reference 7

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Observation ead0b7cb-55b9-43a4-a733-c98bf096798d · outbound

This paper cites Putiˇ ska, M.

Efficient Bayesian inversion for simultaneous estimation of geometry and spatial field using the Karhunen-Lo\`eve expansion Putiˇ ska, M

Reference 8

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Observation 0b5b674e-492e-4ff3-9e4b-bbc3c330eca3 · outbound

This paper cites Cardarelli, G.

Efficient Bayesian inversion for simultaneous estimation of geometry and spatial field using the Karhunen-Lo\`eve expansion Cardarelli, G

Reference 9

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This paper cites Adamo, N.

Efficient Bayesian inversion for simultaneous estimation of geometry and spatial field using the Karhunen-Lo\`eve expansion Adamo, N

Reference 10

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This paper cites Ahmed, P.

Efficient Bayesian inversion for simultaneous estimation of geometry and spatial field using the Karhunen-Lo\`eve expansion Ahmed, P

Reference 11

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Observation 07446ba2-48f9-4205-b620-a14d1bfd6be8 · outbound

This paper cites Hussain, R.

Efficient Bayesian inversion for simultaneous estimation of geometry and spatial field using the Karhunen-Lo\`eve expansion Hussain, R

Reference 12

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This paper cites L¨ ahivaara, N.

Efficient Bayesian inversion for simultaneous estimation of geometry and spatial field using the Karhunen-Lo\`eve expansion L¨ ahivaara, N

Reference 13

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Efficient Bayesian inversion for simultaneous estimation of geometry and spatial field using the Karhunen-Lo\`eve expansion Unresolved cited work

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This paper cites Takamatsu, K.

Efficient Bayesian inversion for simultaneous estimation of geometry and spatial field using the Karhunen-Lo\`eve expansion Takamatsu, K

Reference 15

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This paper cites an unresolved cited work.

Efficient Bayesian inversion for simultaneous estimation of geometry and spatial field using the Karhunen-Lo\`eve expansion Unresolved cited work

Reference 16

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This paper cites Malinverno, Parsimonious Bayesian Markov chain Monte Carlo in- version in a nonlinear geophysical problem, Geophysical Journal Inter- national 151 (3) (2002) 675–688.

Efficient Bayesian inversion for simultaneous estimation of geometry and spatial field using the Karhunen-Lo\`eve expansion Malinverno, Parsimonious Bayesian Markov chain Monte Carlo in- version in a nonlinear geophysical problem, Geophysical Journal Inter- national 151 (3) (2002) 675–688

Reference 17

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This paper cites an unresolved cited work.

Efficient Bayesian inversion for simultaneous estimation of geometry and spatial field using the Karhunen-Lo\`eve expansion Unresolved cited work

Reference 18

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Efficient Bayesian inversion for simultaneous estimation of geometry and spatial field using the Karhunen-Lo\`eve expansion Unresolved cited work

Reference 19

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This paper cites Stein, T.

Efficient Bayesian inversion for simultaneous estimation of geometry and spatial field using the Karhunen-Lo\`eve expansion Stein, T

Reference 20

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This paper cites Haslinger, R.

Efficient Bayesian inversion for simultaneous estimation of geometry and spatial field using the Karhunen-Lo\`eve expansion Haslinger, R

Reference 21

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This paper cites Aghasi, M.

Efficient Bayesian inversion for simultaneous estimation of geometry and spatial field using the Karhunen-Lo\`eve expansion Aghasi, M

Reference 22

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Efficient Bayesian inversion for simultaneous estimation of geometry and spatial field using the Karhunen-Lo\`eve expansion Unresolved cited work

Reference 23

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Efficient Bayesian inversion for simultaneous estimation of geometry and spatial field using the Karhunen-Lo\`eve expansion Unresolved cited work

Reference 24

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Efficient Bayesian inversion for simultaneous estimation of geometry and spatial field using the Karhunen-Lo\`eve expansion Unresolved cited work

Reference 25

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This paper cites Calvetti, E.

Efficient Bayesian inversion for simultaneous estimation of geometry and spatial field using the Karhunen-Lo\`eve expansion Calvetti, E

Reference 26

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Efficient Bayesian inversion for simultaneous estimation of geometry and spatial field using the Karhunen-Lo\`eve expansion Holbach, M

Reference 27

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This paper cites Belliveau, E.

Efficient Bayesian inversion for simultaneous estimation of geometry and spatial field using the Karhunen-Lo\`eve expansion Belliveau, E

Reference 28

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Observation 1e84f17a-c386-446e-8db7-6ff062c3943c · outbound

This paper cites Lo` eve, Probability Theory II, 4th Edition, Springer, New York, NY Heidelberg, 1978.

Efficient Bayesian inversion for simultaneous estimation of geometry and spatial field using the Karhunen-Lo\`eve expansion Lo` eve, Probability Theory II, 4th Edition, Springer, New York, NY Heidelberg, 1978

Reference 29

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Efficient Bayesian inversion for simultaneous estimation of geometry and spatial field using the Karhunen-Lo\`eve expansion Unresolved cited work

Reference 30

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This paper cites an unresolved cited work.

Efficient Bayesian inversion for simultaneous estimation of geometry and spatial field using the Karhunen-Lo\`eve expansion Unresolved cited work

Reference 31

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Efficient Bayesian inversion for simultaneous estimation of geometry and spatial field using the Karhunen-Lo\`eve expansion Uribe, I

Reference 32

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Efficient Bayesian inversion for simultaneous estimation of geometry and spatial field using the Karhunen-Lo\`eve expansion Unresolved cited work

Reference 33

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Efficient Bayesian inversion for simultaneous estimation of geometry and spatial field using the Karhunen-Lo\`eve expansion Unresolved cited work

Reference 34

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Efficient Bayesian inversion for simultaneous estimation of geometry and spatial field using the Karhunen-Lo\`eve expansion Metropolis, A

Reference 35

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This paper cites an unresolved cited work.

Efficient Bayesian inversion for simultaneous estimation of geometry and spatial field using the Karhunen-Lo\`eve expansion Unresolved cited work

Reference 36

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This paper cites Gamerman, H.

Efficient Bayesian inversion for simultaneous estimation of geometry and spatial field using the Karhunen-Lo\`eve expansion Gamerman, H

Reference 37

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Observation 20790b6a-1fcb-4111-82e5-3970a54280ef · outbound

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Efficient Bayesian inversion for simultaneous estimation of geometry and spatial field using the Karhunen-Lo\`eve expansion Unresolved cited work

Reference 38

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Observation 7c4b545d-2f68-4270-8c25-6921a8647aca · outbound

This paper cites A Conceptual Introduction to Hamiltonian Monte Carlo.

Efficient Bayesian inversion for simultaneous estimation of geometry and spatial field using the Karhunen-Lo\`eve expansion A Conceptual Introduction to Hamiltonian Monte Carlo

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This paper cites Stochastic extension of the Lanczos method for nuclear shell-model calculations with variational Monte Carlo method.

Efficient Bayesian inversion for simultaneous estimation of geometry and spatial field using the Karhunen-Lo\`eve expansion Stochastic extension of the Lanczos method for nuclear shell-model calculations with variational Monte Carlo method

Reference 40

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Efficient Bayesian inversion for simultaneous estimation of geometry and spatial field using the Karhunen-Lo\`eve expansion Unresolved cited work

Reference 41

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Observation d743697d-b862-4539-a1cd-4c51bc57efd7 · outbound

This paper cites Pranesh, D.

Efficient Bayesian inversion for simultaneous estimation of geometry and spatial field using the Karhunen-Lo\`eve expansion Pranesh, D

Reference 42

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This paper cites Le Ma ˆ ıtre, O.

Efficient Bayesian inversion for simultaneous estimation of geometry and spatial field using the Karhunen-Lo\`eve expansion Le Ma ˆ ıtre, O

Reference 43

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Efficient Bayesian inversion for simultaneous estimation of geometry and spatial field using the Karhunen-Lo\`eve expansion Papaioannou, Non-intrusive finite element reliability analysis meth- ods, Ph.D

Reference 44

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Observation b00b7814-f1b6-40dd-a63a-70af044a21ff · outbound

This paper cites Bugeda, J.

Efficient Bayesian inversion for simultaneous estimation of geometry and spatial field using the Karhunen-Lo\`eve expansion Bugeda, J

Reference 45

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Efficient Bayesian inversion for simultaneous estimation of geometry and spatial field using the Karhunen-Lo\`eve expansion Unresolved cited work

Reference 46

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Efficient Bayesian inversion for simultaneous estimation of geometry and spatial field using the Karhunen-Lo\`eve expansion Unresolved cited work

Reference 47

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Efficient Bayesian inversion for simultaneous estimation of geometry and spatial field using the Karhunen-Lo\`eve expansion Unresolved cited work

Reference 48

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Observation d5cfc780-88ad-468e-97ad-a55e38d214b0 · outbound

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Efficient Bayesian inversion for simultaneous estimation of geometry and spatial field using the Karhunen-Lo\`eve expansion Carpenter, A

Reference 49

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This paper cites Nesterov, Primal-dual subgradient methods for convex problems, Mathematical Programming 120 (1) (2009) 221–259.

Efficient Bayesian inversion for simultaneous estimation of geometry and spatial field using the Karhunen-Lo\`eve expansion Nesterov, Primal-dual subgradient methods for convex problems, Mathematical Programming 120 (1) (2009) 221–259

Reference 50

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This paper cites Injective Hulls of Quantale-Enriched Multicategories.

Efficient Bayesian inversion for simultaneous estimation of geometry and spatial field using the Karhunen-Lo\`eve expansion Injective Hulls of Quantale-Enriched Multicategories

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Efficient Bayesian inversion for simultaneous estimation of geometry and spatial field using the Karhunen-Lo\`eve expansion Unresolved cited work

Reference 52

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Efficient Bayesian inversion for simultaneous estimation of geometry and spatial field using the Karhunen-Lo\`eve expansion Unresolved cited work

Reference 53

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Efficient Bayesian inversion for simultaneous estimation of geometry and spatial field using the Karhunen-Lo\`eve expansion Unresolved cited work

Reference 54

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Efficient Bayesian inversion for simultaneous estimation of geometry and spatial field using the Karhunen-Lo\`eve expansion Unresolved cited work

Reference 55

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This paper cites Roy, Convergence diagnostics for Markov chain Monte Carlo, Annual Review of Statistics and Its Application 7 (Volume 7, 2020) (2020) 387–.

Efficient Bayesian inversion for simultaneous estimation of geometry and spatial field using the Karhunen-Lo\`eve expansion Roy, Convergence diagnostics for Markov chain Monte Carlo, Annual Review of Statistics and Its Application 7 (Volume 7, 2020) (2020) 387–

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Efficient Bayesian inversion for simultaneous estimation of geometry and spatial field using the Karhunen-Lo\`eve expansion Unresolved cited work

Reference 57

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This paper cites George, Nested dissection of a regular finite element mesh, SIAM journal on numerical analysis 10 (2) (1973) 345–363.

Efficient Bayesian inversion for simultaneous estimation of geometry and spatial field using the Karhunen-Lo\`eve expansion George, Nested dissection of a regular finite element mesh, SIAM journal on numerical analysis 10 (2) (1973) 345–363

Reference 58

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This paper cites an unresolved cited work.

Efficient Bayesian inversion for simultaneous estimation of geometry and spatial field using the Karhunen-Lo\`eve expansion Unresolved cited work

Reference 59

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation 4c1099b9-4a87-490a-a696-fd01cfe15346 · outbound

This paper cites Parvizian, A.

Efficient Bayesian inversion for simultaneous estimation of geometry and spatial field using the Karhunen-Lo\`eve expansion Parvizian, A

Reference 60

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Observation d05e47b9-e2b8-45cd-b652-8c387d961522 · outbound

This paper cites D¨ ur, On the optimality of the discrete Karhunen-Lo` eve expansion, SIAM Journal on Control and Optimization 36 (6) (1998) 1937–1939.

Efficient Bayesian inversion for simultaneous estimation of geometry and spatial field using the Karhunen-Lo\`eve expansion D¨ ur, On the optimality of the discrete Karhunen-Lo` eve expansion, SIAM Journal on Control and Optimization 36 (6) (1998) 1937–1939

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation e0d1454f-fae3-489b-b71f-e6ad3af14ccf · outbound

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Efficient Bayesian inversion for simultaneous estimation of geometry and spatial field using the Karhunen-Lo\`eve expansion Unresolved cited work

Reference 412

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Observation 962875e2-513c-4811-805f-8db3483887b9 · outbound

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Efficient Bayesian inversion for simultaneous estimation of geometry and spatial field using the Karhunen-Lo\`eve expansion Unresolved cited work

Reference 650

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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