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Estimating eigenvectors and eigenspaces of covariance matrices: Optimal Bounds and Conditions for Consistency

As of 9 August 2026, this Paper Citation Record lists 60 of 60 outbound references and 0 inbound Pith citation observations for arXiv:2607.23964.

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pith.paper-citation-record.v1
2607.23964 v2

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measured 60 of 60 reference resolution

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60 of 60 outbound references displayed

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Outbound references

Observation 2d8dc894-3479-4e41-84ec-54cf588cbff9 · outbound

This paper cites Adamczak, A.

Estimating eigenvectors and eigenspaces of covariance matrices: Optimal Bounds and Conditions for Consistency Adamczak, A

Reference 1

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This paper cites Agarwal, K.

Estimating eigenvectors and eigenspaces of covariance matrices: Optimal Bounds and Conditions for Consistency Agarwal, K

Reference 2

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This paper cites Improved Guarantees for Heterogeneous Treatment-Effect Estimation via Matrix Completion.

Estimating eigenvectors and eigenspaces of covariance matrices: Optimal Bounds and Conditions for Consistency Improved Guarantees for Heterogeneous Treatment-Effect Estimation via Matrix Completion

Reference 3

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This paper cites Anderson,An introduction to multivariate statistical analysis, Wiley, Hoboken, NJ, third edition, 2003.

Estimating eigenvectors and eigenspaces of covariance matrices: Optimal Bounds and Conditions for Consistency Anderson,An introduction to multivariate statistical analysis, Wiley, Hoboken, NJ, third edition, 2003

Reference 4

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This paper cites Bai and J.

Estimating eigenvectors and eigenspaces of covariance matrices: Optimal Bounds and Conditions for Consistency Bai and J

Reference 5

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This paper cites Multivariate Anal106(2012), 167–177.

Estimating eigenvectors and eigenspaces of covariance matrices: Optimal Bounds and Conditions for Consistency Multivariate Anal106(2012), 167–177

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Estimating eigenvectors and eigenspaces of covariance matrices: Optimal Bounds and Conditions for Consistency Unresolved cited work

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This paper cites Baik and J.

Estimating eigenvectors and eigenspaces of covariance matrices: Optimal Bounds and Conditions for Consistency Baik and J

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This paper cites Bhatia,Matrix analysis, Grad.

Estimating eigenvectors and eigenspaces of covariance matrices: Optimal Bounds and Conditions for Consistency Bhatia,Matrix analysis, Grad

Reference 9

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This paper cites Bloemendal, A.

Estimating eigenvectors and eigenspaces of covariance matrices: Optimal Bounds and Conditions for Consistency Bloemendal, A

Reference 10

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This paper cites Bunea and L.

Estimating eigenvectors and eigenspaces of covariance matrices: Optimal Bounds and Conditions for Consistency Bunea and L

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Estimating eigenvectors and eigenspaces of covariance matrices: Optimal Bounds and Conditions for Consistency Unresolved cited work

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This paper cites Dauxois, A.

Estimating eigenvectors and eigenspaces of covariance matrices: Optimal Bounds and Conditions for Consistency Dauxois, A

Reference 13

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This paper cites Fan and W.

Estimating eigenvectors and eigenspaces of covariance matrices: Optimal Bounds and Conditions for Consistency Fan and W

Reference 14

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This paper cites Higham,Functions of matrices: Theory and computation, SIAM, 2008.

Estimating eigenvectors and eigenspaces of covariance matrices: Optimal Bounds and Conditions for Consistency Higham,Functions of matrices: Theory and computation, SIAM, 2008

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This paper cites Hotelling,Analysis of a complex of statistical variables into principal components., Journal of Educa- tional Psychology24(1933), no.

Estimating eigenvectors and eigenspaces of covariance matrices: Optimal Bounds and Conditions for Consistency Hotelling,Analysis of a complex of statistical variables into principal components., Journal of Educa- tional Psychology24(1933), no

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This paper cites Jirak and M.

Estimating eigenvectors and eigenspaces of covariance matrices: Optimal Bounds and Conditions for Consistency Jirak and M

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This paper cites Math.412 (2023).

Estimating eigenvectors and eigenspaces of covariance matrices: Optimal Bounds and Conditions for Consistency Math.412 (2023)

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This paper cites Johnstone,On the distribution of the largest eigenvalue in principal components analysis, Ann.

Estimating eigenvectors and eigenspaces of covariance matrices: Optimal Bounds and Conditions for Consistency Johnstone,On the distribution of the largest eigenvalue in principal components analysis, Ann

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This paper cites Sparse Principal Components Analysis.

Estimating eigenvectors and eigenspaces of covariance matrices: Optimal Bounds and Conditions for Consistency Sparse Principal Components Analysis

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Estimating eigenvectors and eigenspaces of covariance matrices: Optimal Bounds and Conditions for Consistency Johnstone and D

Reference 21

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This paper cites Jolliffe,Principal component analysis, International encyclopedia of statistical science, 2011, pp.

Estimating eigenvectors and eigenspaces of covariance matrices: Optimal Bounds and Conditions for Consistency Jolliffe,Principal component analysis, International encyclopedia of statistical science, 2011, pp

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This paper cites Jung and J.S.

Estimating eigenvectors and eigenspaces of covariance matrices: Optimal Bounds and Conditions for Consistency Jung and J.S

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Estimating eigenvectors and eigenspaces of covariance matrices: Optimal Bounds and Conditions for Consistency El Karoui and A

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This paper cites Kato,Perturbation theory for linear operators, Classics in Mathematics, Springer, 1980.

Estimating eigenvectors and eigenspaces of covariance matrices: Optimal Bounds and Conditions for Consistency Kato,Perturbation theory for linear operators, Classics in Mathematics, Springer, 1980

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This paper cites Koltchinskii and E.

Estimating eigenvectors and eigenspaces of covariance matrices: Optimal Bounds and Conditions for Consistency Koltchinskii and E

Reference 26

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Estimating eigenvectors and eigenspaces of covariance matrices: Optimal Bounds and Conditions for Consistency Koltchinskii and K

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Estimating eigenvectors and eigenspaces of covariance matrices: Optimal Bounds and Conditions for Consistency 1, 110–133

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Estimating eigenvectors and eigenspaces of covariance matrices: Optimal Bounds and Conditions for Consistency Koltchinskii and D

Reference 29

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This paper cites Lorenz,Empirical orthogonal functions and statistical weather prediction(1956).

Estimating eigenvectors and eigenspaces of covariance matrices: Optimal Bounds and Conditions for Consistency Lorenz,Empirical orthogonal functions and statistical weather prediction(1956)

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This paper cites Randomized Numerical Linear Algebra: Foundations & Algorithms.

Estimating eigenvectors and eigenspaces of covariance matrices: Optimal Bounds and Conditions for Consistency Randomized Numerical Linear Algebra: Foundations & Algorithms

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Estimating eigenvectors and eigenspaces of covariance matrices: Optimal Bounds and Conditions for Consistency Mas and L

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This paper cites Mestre,On the asymptotic behavior of the sample estimates of eigenvalues and eigenvectors of covari- ance matrices, IEEE Transactions on Signal Processing56(2008), no.

Estimating eigenvectors and eigenspaces of covariance matrices: Optimal Bounds and Conditions for Consistency Mestre,On the asymptotic behavior of the sample estimates of eigenvalues and eigenvectors of covari- ance matrices, IEEE Transactions on Signal Processing56(2008), no

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This paper cites Nadler,Finite sample approximation results for principal component analysis: A matrix perturbation approach, Ann.

Estimating eigenvectors and eigenspaces of covariance matrices: Optimal Bounds and Conditions for Consistency Nadler,Finite sample approximation results for principal component analysis: A matrix perturbation approach, Ann

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This paper cites O’Rourke, V.

Estimating eigenvectors and eigenspaces of covariance matrices: Optimal Bounds and Conditions for Consistency O’Rourke, V

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Estimating eigenvectors and eigenspaces of covariance matrices: Optimal Bounds and Conditions for Consistency Unresolved cited work

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This paper cites Paul,Asymptotics of sample eigenstructure for a large dimensional spiked covariance model, Statist.

Estimating eigenvectors and eigenspaces of covariance matrices: Optimal Bounds and Conditions for Consistency Paul,Asymptotics of sample eigenstructure for a large dimensional spiked covariance model, Statist

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This paper cites Pearson,On lines and planes of closest fit to systems of points in space, The London, Edinburgh, and Dublin philosophical magazine and journal of science2(1901), no.

Estimating eigenvectors and eigenspaces of covariance matrices: Optimal Bounds and Conditions for Consistency Pearson,On lines and planes of closest fit to systems of points in space, The London, Edinburgh, and Dublin philosophical magazine and journal of science2(1901), no

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Observation 96348c2f-07df-49e8-b41b-09c9f3d71437 · outbound

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Estimating eigenvectors and eigenspaces of covariance matrices: Optimal Bounds and Conditions for Consistency Rudelson and R

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source=pdf_text observed=2026-08-04T04:10:04.101086Z digest=sha256:2e48e53789157bbd01a2e8f1695e8cb02699a2a133db06d861abb6016265c6c3

Observation 6b8698e4-3fca-4250-9f16-f42c32627403 · outbound

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Estimating eigenvectors and eigenspaces of covariance matrices: Optimal Bounds and Conditions for Consistency Unresolved cited work

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source=pdf_text observed=2026-08-04T04:10:04.103942Z digest=sha256:25069c43aaf1b65900cfbdee652b7bf3005176eb9f41ee47d30442b8a9bb95ef

Observation 0af13858-cfc3-4aed-9537-a794b60c99d2 · outbound

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Estimating eigenvectors and eigenspaces of covariance matrices: Optimal Bounds and Conditions for Consistency Unresolved cited work

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source=pdf_text observed=2026-08-04T04:10:04.106813Z digest=sha256:273d7f39f194041938f5a7c5d514df41791074fbd523e1a9f380facdc7cee1d0

Observation 8633ac07-bf5e-46f5-be03-3a54ce5a1e82 · outbound

This paper cites Surprising Asymptotic Conical Structure in Critical Sample Eigen-Directions.

Estimating eigenvectors and eigenspaces of covariance matrices: Optimal Bounds and Conditions for Consistency Surprising Asymptotic Conical Structure in Critical Sample Eigen-Directions

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source=pdf_text observed=2026-08-04T04:10:04.109545Z digest=sha256:04b71c3b6c7675e587bf6ee67e2b4bab2c99912ee516af25acc5052868c32183

Observation b4c942e4-22c8-4a8a-8a38-591281d649f2 · outbound

This paper cites an unresolved cited work.

Estimating eigenvectors and eigenspaces of covariance matrices: Optimal Bounds and Conditions for Consistency Unresolved cited work

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source=pdf_text observed=2026-08-04T04:10:04.112582Z digest=sha256:4f2545e024931e6d4ff2261e7dd929969177b809ef5f12a51e29e99078c4ac85

Observation b7ecef6e-0848-4b30-83ef-fa2b46e83aa8 · outbound

This paper cites Srivastava and R.

Estimating eigenvectors and eigenspaces of covariance matrices: Optimal Bounds and Conditions for Consistency Srivastava and R

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source=pdf_text observed=2026-08-04T04:10:04.115716Z digest=sha256:b988a1458f1a35ac417b0cc25b69c8a066471fdb967b6186311cf535ee629d86

Observation 9233d7ce-6c15-4e50-b88d-0ef67546f7b6 · outbound

This paper cites Stein and R.

Estimating eigenvectors and eigenspaces of covariance matrices: Optimal Bounds and Conditions for Consistency Stein and R

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source=pdf_text observed=2026-08-04T04:10:04.118571Z digest=sha256:f1b05732635cbffb997ef95ca193a0396c2468947dc697a829cadafa623075e2

Observation 1ee52a42-c4f4-48bf-b74b-7ee65a7121dd · outbound

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Estimating eigenvectors and eigenspaces of covariance matrices: Optimal Bounds and Conditions for Consistency Tikhomirov,Sample covariance matrices of heavy-tailed distributions, Int

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source=pdf_text observed=2026-08-04T04:10:04.121471Z digest=sha256:717432503f9887f09de009bc1533e1d5a38fcf2bcc95557501779940543a0cbf

Observation 2694ffad-42d8-414d-8b0d-0adaa8d6a156 · outbound

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Estimating eigenvectors and eigenspaces of covariance matrices: Optimal Bounds and Conditions for Consistency Fast exact recovery of noisy matrix from few entries: the infinity norm approach

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source=pdf_text observed=2026-08-04T04:10:04.124222Z digest=sha256:4e869ac633d9be8042adb3976ce69c96ba4330387c0ed2e1eb881d0b28ac8e96

Observation 5b190a63-1eef-4899-ac1c-9a457399c4cf · outbound

This paper cites an unresolved cited work.

Estimating eigenvectors and eigenspaces of covariance matrices: Optimal Bounds and Conditions for Consistency Unresolved cited work

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source=pdf_text observed=2026-08-04T04:10:04.127292Z digest=sha256:879b97671abbe217d76e1d435c362b907b5a02cc492fda58df15f426a31c759e

Observation 1a7ee05a-51ea-42a4-ae5b-0315d73370d7 · outbound

This paper cites Tran and V.

Estimating eigenvectors and eigenspaces of covariance matrices: Optimal Bounds and Conditions for Consistency Tran and V

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source=pdf_text observed=2026-08-04T04:10:04.130052Z digest=sha256:d63212b036fce3546f78a91e7c98c5b2ef227579a21f5190cb6316e7bff76291

Observation 5cd9a42c-391f-436d-a2dc-41b878029e3a · outbound

This paper cites an unresolved cited work.

Estimating eigenvectors and eigenspaces of covariance matrices: Optimal Bounds and Conditions for Consistency Unresolved cited work

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source=pdf_text observed=2026-08-04T04:10:04.133052Z digest=sha256:1c2d0d1d8b7e37b779d40d8cdffad1383c18f71b36dc8291fa4e84ba469730fb

Observation 98c455e4-943d-4ad2-854d-3b09e7e284fc · outbound

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Estimating eigenvectors and eigenspaces of covariance matrices: Optimal Bounds and Conditions for Consistency Eigenvalue stability and new perturbation bounds for the extremal eigenvalues of a matrix

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source=pdf_text observed=2026-08-04T04:10:04.136357Z digest=sha256:1c945d0d0a080c33309e7d355819f9baea340052ed959c2b9218fb114b670934

Observation b7ee86b2-12a1-4d85-ab51-59d5c6ddf150 · outbound

This paper cites arXiv preprint: 2409.20207.

Estimating eigenvectors and eigenspaces of covariance matrices: Optimal Bounds and Conditions for Consistency arXiv preprint: 2409.20207

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source=pdf_text observed=2026-08-04T04:10:04.139675Z digest=sha256:7b1272b37786700ecd47301b5f8ecdf71f9ac8d3a83d48546f1eb5aa069831e8

Observation c2a3e1fb-501b-411d-b51c-e64c7835721a · outbound

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Estimating eigenvectors and eigenspaces of covariance matrices: Optimal Bounds and Conditions for Consistency Vishnoi,Perturbation bounds for low-rank inverse approximations under noise, Proceedings of the 39th conference on neural information processing systems (neurips 2025), 2025

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source=pdf_text observed=2026-08-04T04:10:04.142776Z digest=sha256:cd83922b14740b6fa5e15d15949ae7bf7604d01fbe36c3d08b0a5f613efa7d97

Observation a91976f1-fc12-40c1-8682-00df50d474b2 · outbound

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Estimating eigenvectors and eigenspaces of covariance matrices: Optimal Bounds and Conditions for Consistency Tropp,An introduction to matrix concentration inequalities, Found

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Observation 667c792b-5a72-440e-8888-04f90983d445 · outbound

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Estimating eigenvectors and eigenspaces of covariance matrices: Optimal Bounds and Conditions for Consistency Vershynin,Introduction to the non-asymptotic analysis of random matrices, Compressed sensing: The- ory and applications, 2012, pp

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source=pdf_text observed=2026-08-04T04:10:04.148755Z digest=sha256:a817d2232caf38a9db98e5104197c0c7da2702a1a1e0b1548608158fc3bdf02f

Observation c9567173-ffde-4d92-8e88-0c123f31a731 · outbound

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Estimating eigenvectors and eigenspaces of covariance matrices: Optimal Bounds and Conditions for Consistency Press, 2019

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source=pdf_text observed=2026-08-04T04:10:04.151638Z digest=sha256:d95f1f9b2fc8d7709dcbce605e0b75d08b9c233eaedd6bff1f702bd00ed20335

Observation 7849d940-7af3-4f48-babe-7df30ff9c882 · outbound

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Estimating eigenvectors and eigenspaces of covariance matrices: Optimal Bounds and Conditions for Consistency Wainwright,High-dimensional statistics: A non-asymptotic viewpoint, Camb

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source=pdf_text observed=2026-08-04T04:10:04.154309Z digest=sha256:aa8fd7e36eef83637a23234d789ccaf6117e86c2c429176a940ae7bb0ad1f220

Observation 7c0ff4b6-922a-41c7-bf8c-173d2c20fe62 · outbound

This paper cites Xia and F.

Estimating eigenvectors and eigenspaces of covariance matrices: Optimal Bounds and Conditions for Consistency Xia and F

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source=pdf_text observed=2026-08-04T04:10:04.157200Z digest=sha256:6a69d03a89676eeadae073253ba17bf5fee2f32e05b31b34d583d24431759933

Observation 3f7bbbff-1669-4d6e-94db-38474fb2684d · outbound

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Estimating eigenvectors and eigenspaces of covariance matrices: Optimal Bounds and Conditions for Consistency Zhivotovskiy,Dimension-free bounds for sums of independent matrices and simple tensors via the variational principle, Electron

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source=pdf_text observed=2026-08-04T04:10:04.160279Z digest=sha256:2efa2f2f9450d94c7e0bc4ee0a1d7c10b73d4502b8b723d88e3d2a383d25a895

Observation 15329978-37fa-45d8-b719-a1632290c389 · outbound

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Estimating eigenvectors and eigenspaces of covariance matrices: Optimal Bounds and Conditions for Consistency Unresolved cited work

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