Paper Citation Record · LEDGER

Separable Geodesic Lagrangian Monte Carlo for Inference in 2-Way Covariance Models

As of 16 August 2026, this Paper Citation Record lists 43 of 43 outbound references and 1 inbound Pith citation observation for arXiv:2501.04913.

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

pith.paper-citation-record.v1
2501.04913 v1

Coverage vector

measured 43 of 43 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T21:35:59.184846Z

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-07-10T08:16:58.503519Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: pith, observed 2026-07-10T08:26:59.072582Z

Reference resolution

43 of 43 outbound references displayed

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External citation measurements

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Outbound references

Observation 771b376f-d8cb-4e44-a566-df438d263338 · outbound

This paper cites Bayesian analysis of the covariance matrix of a multivariate normal distribution with a new class of priors.

Separable Geodesic Lagrangian Monte Carlo for Inference in 2-Way Covariance Models Bayesian analysis of the covariance matrix of a multivariate normal distribution with a new class of priors

Reference 1

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Observation 62e6be62-01c5-4a3c-9ea0-21a90fc9dbb6 · outbound

This paper cites Generalizing the No-U-Turn Sampler to Riemannian Manifolds.

Separable Geodesic Lagrangian Monte Carlo for Inference in 2-Way Covariance Models Generalizing the No-U-Turn Sampler to Riemannian Manifolds

Reference 2

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Observation abe7977a-7a6a-457f-a041-767c56409d24 · outbound

This paper cites On-line Kronecker product structured covariance estimation with Riemannian geometry for t-distributed data.

Separable Geodesic Lagrangian Monte Carlo for Inference in 2-Way Covariance Models On-line Kronecker product structured covariance estimation with Riemannian geometry for t-distributed data

Reference 3

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Observation 20ced8ce-809a-4952-8ccc-960b90b8eae8 · outbound

This paper cites Geodesic Monte Carlo on embedded manifolds.

Separable Geodesic Lagrangian Monte Carlo for Inference in 2-Way Covariance Models Geodesic Monte Carlo on embedded manifolds

Reference 4

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Observation fe4d5232-3c1b-4aab-9163-1ee4e83a9134 · outbound

This paper cites Stan: A probabilistic programming language.

Separable Geodesic Lagrangian Monte Carlo for Inference in 2-Way Covariance Models Stan: A probabilistic programming language

Reference 5

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Observation 7379a8a6-b213-4b76-aedc-cfbd785ce899 · outbound

This paper cites The mle algorithm for the matrix normal distribution.

Separable Geodesic Lagrangian Monte Carlo for Inference in 2-Way Covariance Models The mle algorithm for the matrix normal distribution

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:35:59.760412Z

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Observation d24e7f9e-b4f9-4151-90de-0562f4c4c100 · outbound

This paper cites Estimation and testing for separable variance–covariance structures.

Separable Geodesic Lagrangian Monte Carlo for Inference in 2-Way Covariance Models Estimation and testing for separable variance–covariance structures

Reference 7

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Observation f066d33f-0c5f-46bc-97e4-a924e471ba32 · outbound

This paper cites Geometric Measure Theory.

Separable Geodesic Lagrangian Monte Carlo for Inference in 2-Way Covariance Models Geometric Measure Theory

Reference 8

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Observation 9fc2bfbe-3eee-48ce-8396-01753f367dce · outbound

This paper cites Separable factor analysis with applications to mortality data.

Separable Geodesic Lagrangian Monte Carlo for Inference in 2-Way Covariance Models Separable factor analysis with applications to mortality data

Reference 9

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Observation 8573bb1f-f25e-458e-acd3-614198e6a197 · outbound

This paper cites Separable approximations of space-time covariance matrices.

Separable Geodesic Lagrangian Monte Carlo for Inference in 2-Way Covariance Models Separable approximations of space-time covariance matrices

Reference 10

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Observation 2f64fb5e-25a5-4678-aef5-d6f3b82221db · outbound

This paper cites Riemann manifold langevin and Hamiltonian Monte Carlo methods.

Separable Geodesic Lagrangian Monte Carlo for Inference in 2-Way Covariance Models Riemann manifold langevin and Hamiltonian Monte Carlo methods

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:35:59.696403Z

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Observation 273e48f7-1d59-415f-bdfd-35619a3d91d5 · outbound

This paper cites Robust Kronecker product pca for spatio-temporal covariance estimation.

Separable Geodesic Lagrangian Monte Carlo for Inference in 2-Way Covariance Models Robust Kronecker product pca for spatio-temporal covariance estimation

Reference 12

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Observation d184ee9a-a1c4-4a26-ad35-6bec40c5f38f · outbound

This paper cites Matrix variate distributions.

Separable Geodesic Lagrangian Monte Carlo for Inference in 2-Way Covariance Models Matrix variate distributions

Reference 13

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Observation 7a9d2855-3655-4375-873b-c7d63323e43f · outbound

This paper cites On Riemannian optimization over positive definite matrices with the Bures-Wasserstein geometry.

Separable Geodesic Lagrangian Monte Carlo for Inference in 2-Way Covariance Models On Riemannian optimization over positive definite matrices with the Bures-Wasserstein geometry

Reference 14

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Observation 271d8d1c-a36c-424f-9362-cb8766086e2e · outbound

This paper cites Separable covariance arrays via the tucker product, with applications to multi- variate relational data.

Separable Geodesic Lagrangian Monte Carlo for Inference in 2-Way Covariance Models Separable covariance arrays via the tucker product, with applications to multi- variate relational data

Reference 15

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Observation 29a511d4-72bf-426f-9ec7-1d3ee989d598 · outbound

This paper cites Geodesic Lagrangian Monte Carlo over the space of positive definite matrices: with application to Bayesian spectral density estimation.

Separable Geodesic Lagrangian Monte Carlo for Inference in 2-Way Covariance Models Geodesic Lagrangian Monte Carlo over the space of positive definite matrices: with application to Bayesian spectral density estimation

Reference 16

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Observation c8f24343-f7b1-453d-9dfd-0c0e44d75f11 · outbound

This paper cites Hoff, and David B.

Separable Geodesic Lagrangian Monte Carlo for Inference in 2-Way Covariance Models Hoff, and David B

Reference 17

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Observation 31f0996f-de92-425c-b97e-13cade0477ae · outbound

This paper cites Hoff, and David B.

Separable Geodesic Lagrangian Monte Carlo for Inference in 2-Way Covariance Models Hoff, and David B

Reference 18

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Observation 2da54007-6f3e-4f51-90b5-0ed4bd870e60 · outbound

This paper cites Springer, 2008.

Separable Geodesic Lagrangian Monte Carlo for Inference in 2-Way Covariance Models Springer, 2008

Reference 19

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Observation 6dbd94c3-2fdc-4c92-9ce9-8e717ca25612 · outbound

This paper cites Kronecker product and svd approximations in image restora- tion.

Separable Geodesic Lagrangian Monte Carlo for Inference in 2-Way Covariance Models Kronecker product and svd approximations in image restora- tion

Reference 20

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Observation f53db8ce-e496-4019-af94-99134c84da5e · outbound

This paper cites Markov chain Monte Carlo from lagrangian dynamics.

Separable Geodesic Lagrangian Monte Carlo for Inference in 2-Way Covariance Models Markov chain Monte Carlo from lagrangian dynamics

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:35:59.545638Z

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Observation 5b4c301e-b9ed-4f99-9670-c1c5f8cbcb3d · outbound

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Separable Geodesic Lagrangian Monte Carlo for Inference in 2-Way Covariance Models Spherical Hamiltonian Monte Carlo for con- strained target distributions

Reference 22

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Observation 8fbe8916-8172-46e0-8f55-a638363cafe1 · outbound

This paper cites Smooth manifolds.

Separable Geodesic Lagrangian Monte Carlo for Inference in 2-Way Covariance Models Smooth manifolds

Reference 23

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Observation 1a737c5e-58ef-4c9d-bf81-9d12adc11ca5 · outbound

This paper cites A Bayesian factor model for spatial panel data with a separable covariance approach.

Separable Geodesic Lagrangian Monte Carlo for Inference in 2-Way Covariance Models A Bayesian factor model for spatial panel data with a separable covariance approach

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:35:59.502428Z

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 89d39e38-db59-4554-8175-64b45efaa915 · outbound

This paper cites Riemannian geometry of symmetric positive definite matrices via cholesky de- composition.

Separable Geodesic Lagrangian Monte Carlo for Inference in 2-Way Covariance Models Riemannian geometry of symmetric positive definite matrices via cholesky de- composition

Reference 25

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Observation 355264fc-1f3d-4a27-a7ef-ba90da204b03 · outbound

This paper cites The commutation matrix: some properties and applica- tions.

Separable Geodesic Lagrangian Monte Carlo for Inference in 2-Way Covariance Models The commutation matrix: some properties and applica- tions

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:35:59.470509Z

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Observation 0cb77ba5-2f08-4144-8c88-dae356e85f04 · outbound

This paper cites Matrix differential calculus with applications to simple, hadamard, and Kronecker products.

Separable Geodesic Lagrangian Monte Carlo for Inference in 2-Way Covariance Models Matrix differential calculus with applications to simple, hadamard, and Kronecker products

Reference 27

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Observation ccf9f61f-33f4-4121-bb49-55c95941f4df · outbound

This paper cites Matrix Differential Calculus with Applications in Statis- tics and Econometrics.

Separable Geodesic Lagrangian Monte Carlo for Inference in 2-Way Covariance Models Matrix Differential Calculus with Applications in Statis- tics and Econometrics

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:35:59.443320Z

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Observation 9a07c0f2-f737-4184-a286-8ba6415d0944 · outbound

This paper cites Information Geometry and Asymptotics for Kronecker Covariances.

Separable Geodesic Lagrangian Monte Carlo for Inference in 2-Way Covariance Models Information Geometry and Asymptotics for Kronecker Covariances

Reference 29

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Separable Geodesic Lagrangian Monte Carlo for Inference in 2-Way Covariance Models Unresolved cited work

Reference 30

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Observation c512c75a-7fad-452e-973c-57eeb33ec5e6 · outbound

This paper cites The Riemannian geometry of the space of positive-definite matrices and its application to the regularization of positive-definite matrix-valued data.

Separable Geodesic Lagrangian Monte Carlo for Inference in 2-Way Covariance Models The Riemannian geometry of the space of positive-definite matrices and its application to the regularization of positive-definite matrix-valued data

Reference 31

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Observation 0359e559-61b9-44de-bc04-ded0e1010a0e · outbound

This paper cites The imbedding problem for Riemannian manifolds.

Separable Geodesic Lagrangian Monte Carlo for Inference in 2-Way Covariance Models The imbedding problem for Riemannian manifolds

Reference 32

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Observation 29684857-e7cd-4bb8-8221-285084b7a886 · outbound

This paper cites Mcmc using Hamiltonian dynamics.

Separable Geodesic Lagrangian Monte Carlo for Inference in 2-Way Covariance Models Mcmc using Hamiltonian dynamics

Reference 33

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Observation 0dab442a-290f-4175-affb-046b14562720 · outbound

This paper cites Rotation invariant householder parameterization for Bayesian pca.

Separable Geodesic Lagrangian Monte Carlo for Inference in 2-Way Covariance Models Rotation invariant householder parameterization for Bayesian pca

Reference 34

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Observation e1f6b158-c586-4534-8830-212c36c6f2ee · outbound

This paper cites Rotation invariant householder parameterization for Bayesian PCA.

Separable Geodesic Lagrangian Monte Carlo for Inference in 2-Way Covariance Models Rotation invariant householder parameterization for Bayesian PCA

Reference 35

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Observation 8dd5d1c0-a740-4a25-b5a3-bd897b6e97f5 · outbound

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Separable Geodesic Lagrangian Monte Carlo for Inference in 2-Way Covariance Models Unresolved cited work

Reference 36

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Observation e7038ff6-0c9a-4128-9e3b-9b7049454cda · outbound

This paper cites General Bayesian inference over the stiefel manifold via the givens transform.Bayesian Analysis, 16(2),.

Separable Geodesic Lagrangian Monte Carlo for Inference in 2-Way Covariance Models General Bayesian inference over the stiefel manifold via the givens transform.Bayesian Analysis, 16(2),

Reference 37

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Observation cd722132-3434-4f08-8f40-e37aa4fb58da · outbound

This paper cites A Matrix Handbook for Statisticians.

Separable Geodesic Lagrangian Monte Carlo for Inference in 2-Way Covariance Models A Matrix Handbook for Statisticians

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:35:59.317362Z

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Observation ca396a7d-ebfe-4954-bd2b-0306502a204e · outbound

This paper cites an unresolved cited work.

Separable Geodesic Lagrangian Monte Carlo for Inference in 2-Way Covariance Models Unresolved cited work

Reference 39

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Observation bb8ca650-c5e4-4d56-a165-623cd2ca8833 · outbound

This paper cites Geodesic convexity and covariance estimation.

Separable Geodesic Lagrangian Monte Carlo for Inference in 2-Way Covariance Models Geodesic convexity and covariance estimation

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:35:59.288547Z

Source-reported events for the cited work

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Observation 2597c757-f177-4391-8b7e-e08596ad29ad · outbound

This paper cites an unresolved cited work.

Separable Geodesic Lagrangian Monte Carlo for Inference in 2-Way Covariance Models Unresolved cited work

Reference 41

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Source-reported events for the cited work

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Observation f433e094-ab7b-4aba-a14c-1ed2506c9648 · outbound

This paper cites Estimation of a covariance matrix using the reference prior.

Separable Geodesic Lagrangian Monte Carlo for Inference in 2-Way Covariance Models Estimation of a covariance matrix using the reference prior

Reference 42

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:35:59.274722Z

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Observation 570a064d-f7c3-4f9a-a08e-78d01e180d01 · outbound

This paper cites The Schur Complement and Its Applications , volume 4.

Separable Geodesic Lagrangian Monte Carlo for Inference in 2-Way Covariance Models The Schur Complement and Its Applications , volume 4

Reference 43

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:35:59.259857Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Pith citing papers

Observation 20469a3d-2959-445c-8787-3fab438d0af8 · inbound

Testing Covariance Separability in High Dimensions cites this paper.

Testing Covariance Separability in High Dimensions Separable Geodesic Lagrangian Monte Carlo for Inference in 2-Way Covariance Models

Reference 31

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.