Paper Citation Record · LEDGER

Geodesic Variational Bayes for Multiway Covariances

As of 20 August 2026, this Paper Citation Record lists 27 of 27 outbound references and 1 inbound Pith citation observation for arXiv:2501.04935.

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

pith.paper-citation-record.v1
2501.04935 v1

Coverage vector

measured 27 of 27 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T21:29:34.040415Z

measured 28 of 28 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 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-05-08T17:24:52.674306Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-11T17:36:06.219654Z

Reference resolution

27 of 27 outbound references displayed

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External citation measurements

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Outbound references

Observation b1833658-3bc0-45a2-bdf7-7d535a88d785 · outbound

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

Geodesic Variational Bayes for Multiway Covariances On-line Kronecker product structured covariance estimation with Riemannian geometry for t-distributed data

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:29:34.346078Z

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 6873a03b-f985-4726-bcb1-131c7b251165 · outbound

This paper cites Variational inference for large-scale models of discrete choice.

Geodesic Variational Bayes for Multiway Covariances Variational inference for large-scale models of discrete choice

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:29:34.334632Z

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Observation 9175ac3c-ba16-4853-a1c0-05633e74833b · outbound

This paper cites Optimal Statistical Decisions.

Geodesic Variational Bayes for Multiway Covariances Optimal Statistical Decisions

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:29:34.324066Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 5a62da30-0163-4ef6-91db-2eb25ca49ce3 · outbound

This paper cites Training VAEs Under Structured Residuals.

Geodesic Variational Bayes for Multiway Covariances Training VAEs Under Structured Residuals

Reference 4

Resolution: verified exact; local_arxiv, observed 2026-08-10T21:29:34.088389Z

Source-reported events for the cited work

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Observation f5fe4338-5c2d-4ff1-9511-0fb4828e0dfb · outbound

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

Geodesic Variational Bayes for Multiway Covariances The mle algorithm for the matrix normal distribution

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:29:34.313896Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 5dafefed-c01c-4304-8cbf-fe4a1a722acf · outbound

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

Geodesic Variational Bayes for Multiway Covariances Separable factor analysis with applications to mortality data

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:29:34.304441Z

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 5fb9fe05-197e-4c1d-99ef-6d5f998f3312 · outbound

This paper cites A tutorial on variational Bayesian inference.

Geodesic Variational Bayes for Multiway Covariances A tutorial on variational Bayesian inference

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:29:34.295161Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation d02eb17b-cd2a-4253-b659-f6c8031e52d4 · outbound

This paper cites Kronecker Products and Matrix Calculus with Applications.

Geodesic Variational Bayes for Multiway Covariances Kronecker Products and Matrix Calculus with Applications

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:29:34.285291Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation ef8a4fce-2928-47c5-afda-1e441988a200 · outbound

This paper cites Bayesian tensor regression.

Geodesic Variational Bayes for Multiway Covariances Bayesian tensor regression

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:29:34.275007Z

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 41eb528f-6af8-4d61-af12-5e4c8d901471 · outbound

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

Geodesic Variational Bayes for Multiway Covariances On Riemannian optimization over positive definite matrices with the Bures-Wasserstein geometry

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:29:34.266267Z

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 ac42f827-7623-4c42-adb5-2786cf4d80a7 · outbound

This paper cites Hierarchical multilinear models for multiway data.

Geodesic Variational Bayes for Multiway Covariances Hierarchical multilinear models for multiway data

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:29:34.256399Z

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 382c5724-f7af-41a8-a8be-382fa0dc8a58 · outbound

This paper cites Separable covariance arrays via the Tucker product, with applications to mul- tivariate relational data.

Geodesic Variational Bayes for Multiway Covariances Separable covariance arrays via the Tucker product, with applications to mul- tivariate relational data

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:29:34.246739Z

Source-reported events for the cited work

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Observation 2117cfcb-3069-4385-988a-4b69e8e8e731 · outbound

This paper cites Log-euclidean metric learning on symmetric positive definite manifold with application to image set clas- sification.

Geodesic Variational Bayes for Multiway Covariances Log-euclidean metric learning on symmetric positive definite manifold with application to image set clas- sification

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:29:34.235084Z

Source-reported events for the cited work

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Observation 7c392c1c-f5b5-4013-ac8a-21be670fcc7b · outbound

This paper cites Tensor decompositions and applications.

Geodesic Variational Bayes for Multiway Covariances Tensor decompositions and applications

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:29:34.224047Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 3b886fc0-04b2-4342-af3b-0f13bde84855 · outbound

This paper cites Bartlett decomposition and Wishart distribution.

Geodesic Variational Bayes for Multiway Covariances Bartlett decomposition and Wishart distribution

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:29:34.214380Z

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 edaab560-8583-494c-96ab-28324333fd2c · outbound

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

Geodesic Variational Bayes for Multiway Covariances Riemannian geometry of symmetric positive definite matrices via cholesky de- composition

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:29:34.203712Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation a237c519-6830-411c-988e-f2af54b0f6fa · outbound

This paper cites Information Geometry and Asymptotics for Kronecker Covariances.

Geodesic Variational Bayes for Multiway Covariances Information Geometry and Asymptotics for Kronecker Covariances

Reference 17

Resolution: verified exact; local_arxiv, observed 2026-08-10T21:29:34.074442Z

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 c2b82b01-d0c7-4bb1-955d-6807b505166d · outbound

This paper cites Symmetric positive-definite matrices: From geome- try to applications and visualization.

Geodesic Variational Bayes for Multiway Covariances Symmetric positive-definite matrices: From geome- try to applications and visualization

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:29:34.194426Z

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 8e91cbdc-6f1c-4561-9be8-f53a15e65a0b · 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.

Geodesic Variational Bayes for Multiway Covariances The Riemannian geometry of the space of positive-definite matrices and its application to the regularization of positive-definite matrix-valued data

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:29:34.182899Z

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 d3a4c9f7-b8e0-45e0-bde0-e0e69bfed0f7 · outbound

This paper cites Tensor-train decomposition.

Geodesic Variational Bayes for Multiway Covariances Tensor-train decomposition

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:29:34.171952Z

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 9284be51-376a-430b-b443-1384cf6ce9e6 · outbound

This paper cites Structured variational Bayesian infer- ence for gaussian state-space models with regime switching.

Geodesic Variational Bayes for Multiway Covariances Structured variational Bayesian infer- ence for gaussian state-space models with regime switching

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:29:34.162407Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 65fd755e-21be-4f90-9747-67ea3c04728b · outbound

This paper cites an unresolved cited work.

Geodesic Variational Bayes for Multiway Covariances Unresolved cited work

Reference 22

Resolution: unresolved; raw_fallback, observed 2026-08-10T21:29:34.151772Z

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 fdeeff19-df24-4f2f-9ed2-dbf9a76f2c97 · outbound

This paper cites Scalable Bayesian low-rank decomposition of incomplete multiway tensors.

Geodesic Variational Bayes for Multiway Covariances Scalable Bayesian low-rank decomposition of incomplete multiway tensors

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:29:34.140201Z

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 a6616b12-8ec0-4e84-b9c2-176501bfbd85 · outbound

This paper cites Variational Bayes on manifolds.Statistics and Computing , 31:1–17, 2021.

Geodesic Variational Bayes for Multiway Covariances Variational Bayes on manifolds.Statistics and Computing , 31:1–17, 2021

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:29:34.129062Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 18073504-27ee-4dd8-8a52-91e58a38ef22 · outbound

This paper cites Structured variational inference in Bayesian state-space models.

Geodesic Variational Bayes for Multiway Covariances Structured variational inference in Bayesian state-space models

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:29:34.118951Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation f4a7fa8d-f6da-45ad-8970-d47a7359ba72 · outbound

This paper cites Geodesic convexity and covariance estimation.

Geodesic Variational Bayes for Multiway Covariances Geodesic convexity and covariance estimation

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:29:34.108627Z

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Observation f9a8bff5-7e31-40ea-981b-276e8a97c547 · outbound

This paper cites Bayesian nonparametric models for multiway data analysis.

Geodesic Variational Bayes for Multiway Covariances Bayesian nonparametric models for multiway data analysis

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:29:34.098838Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Pith citing papers

Observation 36a2d098-dc82-45da-b2b9-183a75b00bfe · inbound

Bures Geodesics and Restricted Barycenters for Kronecker Positive Definite Matrices cites this paper.

Bures Geodesics and Restricted Barycenters for Kronecker Positive Definite Matrices Geodesic Variational Bayes for Multiway Covariances

Reference 16

Resolution: verified exact; arxiv_id, observed 2026-05-11T17:36:06.221685Z

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.