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Paper Citation Record · LEDGER

Model Error Covariance Estimation for Weak Constraint Data Assimilation

As of 17 August 2026, this Paper Citation Record lists 50 of 50 outbound references and 0 inbound Pith citation observations for arXiv:2504.17900.

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pith.paper-citation-record.v1
2504.17900 v1

Coverage vector

measured 50 of 50 reference resolution

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Pith citing papers itemized under the disclosed page cap.

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Reference resolution

50 of 50 outbound references displayed

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External citation measurements

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Outbound references

Observation 2b3f7986-540b-4af2-b7e7-e65fbbf16a40 · outbound

This paper cites A monte carlo implementation of the nonlinear filtering problem to produce ensemble assimilations and forecasts.

Model Error Covariance Estimation for Weak Constraint Data Assimilation A monte carlo implementation of the nonlinear filtering problem to produce ensemble assimilations and forecasts

Reference 1

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This paper cites Parameter estimation and inverse problems.

Model Error Covariance Estimation for Weak Constraint Data Assimilation Parameter estimation and inverse problems

Reference 2

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Observation 92ddedc3-b8ca-4481-a67a-2c7d363c27da · outbound

This paper cites A review of operational methods of variational and ensemble-variational 26 S.

Model Error Covariance Estimation for Weak Constraint Data Assimilation A review of operational methods of variational and ensemble-variational 26 S

Reference 3

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Observation 704b022a-680b-4e8e-8a20-e98b17340ac9 · outbound

This paper cites Aerosol analysis and forecast in the european centre for medium- range weather forecasts integrated forecast system: 2.

Model Error Covariance Estimation for Weak Constraint Data Assimilation Aerosol analysis and forecast in the european centre for medium- range weather forecasts integrated forecast system: 2

Reference 4

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Observation fe5937ff-4827-4da3-8e03-422159f35e8d · outbound

This paper cites Inverse methods in physical oceanography.

Model Error Covariance Estimation for Weak Constraint Data Assimilation Inverse methods in physical oceanography

Reference 5

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Observation d1314467-25b9-46b1-8f12-eeadb065284b · outbound

This paper cites Inverse modeling of the ocean and atmosphere.

Model Error Covariance Estimation for Weak Constraint Data Assimilation Inverse modeling of the ocean and atmosphere

Reference 6

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Observation f9b9bfaf-5d4d-4ed5-88fe-dc3fcb4d5d01 · outbound

This paper cites Generalized inversion of a global numerical weather prediction model.

Model Error Covariance Estimation for Weak Constraint Data Assimilation Generalized inversion of a global numerical weather prediction model

Reference 7

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Observation ec870869-11b6-4db5-a62c-94e1837e686f · outbound

This paper cites Multi- parameter regularization techniques for ill-conditioned linear systems.

Model Error Covariance Estimation for Weak Constraint Data Assimilation Multi- parameter regularization techniques for ill-conditioned linear systems

Reference 8

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Observation a279e587-49f4-4ccd-97f0-b39546176dbd · outbound

This paper cites Data assimilation in the geosciences: An overview of methods, issues, and perspectives.

Model Error Covariance Estimation for Weak Constraint Data Assimilation Data assimilation in the geosciences: An overview of methods, issues, and perspectives

Reference 9

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Observation f4bb22db-3632-42b2-9ec7-3a64bc3540ad · outbound

This paper cites A strategy for operational implementation of 4d-var, using an incremental approach.

Model Error Covariance Estimation for Weak Constraint Data Assimilation A strategy for operational implementation of 4d-var, using an incremental approach

Reference 10

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Observation 12d58b95-a9a9-46d8-8f24-b36c84cbaf53 · outbound

This paper cites Topex/poseidon tides estimated using a global invese model.

Model Error Covariance Estimation for Weak Constraint Data Assimilation Topex/poseidon tides estimated using a global invese model

Reference 11

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Observation 0fc9b9c8-01ad-44c9-a132-638f1a84fad5 · outbound

This paper cites Using the l–curve for determining optimal regularization parameters.

Model Error Covariance Estimation for Weak Constraint Data Assimilation Using the l–curve for determining optimal regularization parameters

Reference 12

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Observation e5886125-8f67-4c1a-a284-b8f0ef8c73d4 · outbound

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Model Error Covariance Estimation for Weak Constraint Data Assimilation Inverse methods and data assimilation in nonlinear ocean models

Reference 13

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This paper cites Sequential data assimilation with a nonlinear quasi-geostrophic model using monte carlo methods to forecast error statistics.

Model Error Covariance Estimation for Weak Constraint Data Assimilation Sequential data assimilation with a nonlinear quasi-geostrophic model using monte carlo methods to forecast error statistics

Reference 14

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Observation 010d0b0e-b24b-4c93-a7b0-8267620cad38 · outbound

This paper cites Rank issues.

Model Error Covariance Estimation for Weak Constraint Data Assimilation Rank issues

Reference 15

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Observation 395401a9-45a9-42a4-9e26-f241b8eac0bf · outbound

This paper cites Weak-constraint and long-window 4d-var.

Model Error Covariance Estimation for Weak Constraint Data Assimilation Weak-constraint and long-window 4d-var

Reference 16

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Observation 8b8d186e-a7aa-4099-a86b-0a276e093737 · outbound

This paper cites Tikhonov regularization and total least squares.

Model Error Covariance Estimation for Weak Constraint Data Assimilation Tikhonov regularization and total least squares

Reference 17

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Observation faa90086-3063-441e-9638-eda70899dd23 · outbound

This paper cites Generalized cross-validation as a method for choosing a good ridge parameter.

Model Error Covariance Estimation for Weak Constraint Data Assimilation Generalized cross-validation as a method for choosing a good ridge parameter

Reference 18

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Observation ef375dc1-8735-4d0f-aa21-c53cc438e9a7 · outbound

This paper cites Novel approach to nonlinear/non- gaussian bayesian state estimation.

Model Error Covariance Estimation for Weak Constraint Data Assimilation Novel approach to nonlinear/non- gaussian bayesian state estimation

Reference 19

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Observation c3732d76-1609-43ba-9c96-51c92cdc799c · outbound

This paper cites The l-curve and its use in the numerical treatment of inverse problems.

Model Error Covariance Estimation for Weak Constraint Data Assimilation The l-curve and its use in the numerical treatment of inverse problems

Reference 20

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This paper cites The elements of statistical learning, 2009.

Model Error Covariance Estimation for Weak Constraint Data Assimilation The elements of statistical learning, 2009

Reference 21

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Model Error Covariance Estimation for Weak Constraint Data Assimilation Data assimilation for numerical smoke prediction

Reference 22

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Observation ff1e6586-b0c5-414f-952d-e50d3918c575 · outbound

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Model Error Covariance Estimation for Weak Constraint Data Assimilation Selecting the corner in the l-curve approach to tikhonov regularization

Reference 23

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Observation 7f3e497e-6516-4c52-b66e-01d8c49072ee · outbound

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Model Error Covariance Estimation for Weak Constraint Data Assimilation A new approach to linear filtering and prediction problems

Reference 24

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Model Error Covariance Estimation for Weak Constraint Data Assimilation Atmospheric modeling, data assimilation and predictability

Reference 25

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Model Error Covariance Estimation for Weak Constraint Data Assimilation Variational algorithms for analysis and assim- ilation of meteorological observations: theoretical aspects

Reference 26

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Model Error Covariance Estimation for Weak Constraint Data Assimilation Finite volume methods for hyperbolic problems , volume 31

Reference 27

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Model Error Covariance Estimation for Weak Constraint Data Assimilation From stein’s unbiased risk estimates to the method of generalized cross validation

Reference 28

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Model Error Covariance Estimation for Weak Constraint Data Assimilation Unresolved cited work

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Model Error Covariance Estimation for Weak Constraint Data Assimilation Unresolved cited work

Reference 30

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Model Error Covariance Estimation for Weak Constraint Data Assimilation Unresolved cited work

Reference 31

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Model Error Covariance Estimation for Weak Constraint Data Assimilation Mead and C.C

Reference 32

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Model Error Covariance Estimation for Weak Constraint Data Assimilation Discontinuous parameter estimates with least squares estimators

Reference 33

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This paper cites Efficient implementation of covariance multiplication for data assimilation with the representer method.

Model Error Covariance Estimation for Weak Constraint Data Assimilation Efficient implementation of covariance multiplication for data assimilation with the representer method

Reference 34

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Model Error Covariance Estimation for Weak Constraint Data Assimilation Nonlinear conditional model bias estimation for data assimilation

Reference 35

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Observation c32f0651-f933-4004-94d6-da912e347934 · outbound

This paper cites Data assimilation with the weighted ensemble kalman filter.

Model Error Covariance Estimation for Weak Constraint Data Assimilation Data assimilation with the weighted ensemble kalman filter

Reference 36

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

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Observation 558c0cec-9d9a-439d-b98a-7b663cbe36ab · outbound

This paper cites Four-dimensional data assimilation: Compari- son of variational and sequential algorithms.

Model Error Covariance Estimation for Weak Constraint Data Assimilation Four-dimensional data assimilation: Compari- son of variational and sequential algorithms

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 2026-08-17T06:30:58.91139+00:00.

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Observation be60b49f-fe89-41e3-bf03-8a66156c5442 · outbound

This paper cites an unresolved cited work.

Model Error Covariance Estimation for Weak Constraint Data Assimilation Unresolved cited work

Reference 38

Resolution
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raw_fallback, observed 2026-08-16T10:35:52.017436Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

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Observation ab22d5be-bd9f-4916-b12d-9c8cb3cd8b1f · outbound

This paper cites Inverse Problems and Data Assimilation.

Model Error Covariance Estimation for Weak Constraint Data Assimilation Inverse Problems and Data Assimilation

Reference 39

Resolution
unresolved
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Unavailable: canonical work link unavailable.

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Observation 7ee58ed8-8218-4028-809c-399326d6132a · outbound

This paper cites A generalized representer theorem.

Model Error Covariance Estimation for Weak Constraint Data Assimilation A generalized representer theorem

Reference 40

Resolution
unresolved
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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T10:35:51.736191Z digest=sha256:15e59f139e1e96d7af3158dd912f80093d69f271d7446a33d1baf8cd27272484

Observation 9d2624bd-2366-487c-b4b7-c9698b007c1f · outbound

This paper cites A review of innovation-based methods to jointly estimate model and observation error covariance matrices in ensemble data assimilation.

Model Error Covariance Estimation for Weak Constraint Data Assimilation A review of innovation-based methods to jointly estimate model and observation error covariance matrices in ensemble data assimilation

Reference 41

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T10:35:51.989872Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

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Observation 7b18d727-ffa3-435a-bcd5-d1eb8be56252 · outbound

This paper cites Solutions of ill-posed problems.

Model Error Covariance Estimation for Weak Constraint Data Assimilation Solutions of ill-posed problems

Reference 42

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

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Observation 2a061e6f-9d38-46c8-85d6-ac7ce08e96d2 · outbound

This paper cites Accounting for an imperfect model in 4d-var.

Model Error Covariance Estimation for Weak Constraint Data Assimilation Accounting for an imperfect model in 4d-var

Reference 43

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T10:35:51.954100Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

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Observation a65b3446-cd5f-4a0d-8c80-a84e39b2223c · outbound

This paper cites Model-error estimation in 4d-var.

Model Error Covariance Estimation for Weak Constraint Data Assimilation Model-error estimation in 4d-var

Reference 44

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T10:35:51.937563Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

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Observation 5778efbb-f7b5-4a1b-a89d-a549e28ab7e1 · outbound

This paper cites Variational data analysis with control of the forecast bias.

Model Error Covariance Estimation for Weak Constraint Data Assimilation Variational data analysis with control of the forecast bias

Reference 45

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T10:35:51.920501Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

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Observation 1cc1369f-0419-4cc5-8c06-f5cf1db176f3 · outbound

This paper cites Non-convergence of the l-curve regularization parameter selection method.

Model Error Covariance Estimation for Weak Constraint Data Assimilation Non-convergence of the l-curve regularization parameter selection method

Reference 46

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T10:35:51.904603Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-16T10:35:51.764553Z digest=sha256:edc78adf9ccb7b55136d6055e734c9b5231f58fece31f04c7a1a33675c13fef9

Observation 7eef5e00-c728-474f-99b5-05546a1a1ba2 · outbound

This paper cites Spline models for observational data.

Model Error Covariance Estimation for Weak Constraint Data Assimilation Spline models for observational data

Reference 47

Resolution
unresolved
no resolver link, observed 2026-08-16T10:35:51.769095Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation 47071343-7408-4e21-8c9c-626175d0fb88 · outbound

This paper cites Representer theorem.

Model Error Covariance Estimation for Weak Constraint Data Assimilation Representer theorem

Reference 48

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T10:35:51.877901Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

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Observation be8e7a54-b76f-42f8-8569-b902f6bd244d · outbound

This paper cites Inverse methods in hydrogeology: Evolution and recent trends.

Model Error Covariance Estimation for Weak Constraint Data Assimilation Inverse methods in hydrogeology: Evolution and recent trends

Reference 49

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T10:35:51.862293Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

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Observation ec3b4c2b-4bac-4157-94c9-5ddf1a4d2be1 · outbound

This paper cites A general weak constraint applicable to operational 4dvar data assimilation systems.

Model Error Covariance Estimation for Weak Constraint Data Assimilation A general weak constraint applicable to operational 4dvar data assimilation systems

Reference 50

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T10:35:51.843422Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

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Pith citing papers

No inbound Pith citation observations are available.