Private Low-Rank Approximation for Covariance Matrices, Dyson Brownian Motion, and Eigenvalue-Gap Bounds for Gaussian Perturbations | Paper Citation Record

Observation 3af54cd6-4707-42d7-bb72-2515d09a17f9 · outbound

This paper cites Fast computation of low-rank matrix approxima- tions.

Private Low-Rank Approximation for Covariance Matrices, Dyson Brownian Motion, and Eigenvalue-Gap Bounds for Gaussian Perturbations Fast computation of low-rank matrix approxima- tions

Reference 1

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Observation 05fa11d2-0049-4a82-b9cc-ff0e69ed435d · outbound

This paper cites Differen- tially private covariance estimation.Advances in Neural Information Processing Systems, 32, 2019.

Private Low-Rank Approximation for Covariance Matrices, Dyson Brownian Motion, and Eigenvalue-Gap Bounds for Gaussian Perturbations Differen- tially private covariance estimation.Advances in Neural Information Processing Systems, 32, 2019

Reference 2

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Private Low-Rank Approximation for Covariance Matrices, Dyson Brownian Motion, and Eigenvalue-Gap Bounds for Gaussian Perturbations Number 118

Reference 3

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This paper cites Extreme gaps between eigenvalues of random matrices.

Private Low-Rank Approximation for Covariance Matrices, Dyson Brownian Motion, and Eigenvalue-Gap Bounds for Gaussian Perturbations Extreme gaps between eigenvalues of random matrices

Reference 4

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This paper cites Extreme gaps between eigenvalues of random matrices.

Private Low-Rank Approximation for Covariance Matrices, Dyson Brownian Motion, and Eigenvalue-Gap Bounds for Gaussian Perturbations Extreme gaps between eigenvalues of random matrices

Reference 5

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Observation ad0d0fae-fea3-4807-b0c9-82c24b52e7fd · outbound

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Private Low-Rank Approximation for Covariance Matrices, Dyson Brownian Motion, and Eigenvalue-Gap Bounds for Gaussian Perturbations The Netflix Prize

Reference 6

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This paper cites Matrix analysis, volume 169.

Private Low-Rank Approximation for Covariance Matrices, Dyson Brownian Motion, and Eigenvalue-Gap Bounds for Gaussian Perturbations Matrix analysis, volume 169

Reference 7

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This paper cites The Johnson-Lindenstrauss transform itself preserves differential privacy.

Private Low-Rank Approximation for Covariance Matrices, Dyson Brownian Motion, and Eigenvalue-Gap Bounds for Gaussian Perturbations The Johnson-Lindenstrauss transform itself preserves differential privacy

Reference 8

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This paper cites Small gaps in the spectrum of the rectangular billiard.

Private Low-Rank Approximation for Covariance Matrices, Dyson Brownian Motion, and Eigenvalue-Gap Bounds for Gaussian Perturbations Small gaps in the spectrum of the rectangular billiard

Reference 9

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This paper cites Practical privacy: the sulq framework.

Private Low-Rank Approximation for Covariance Matrices, Dyson Brownian Motion, and Eigenvalue-Gap Bounds for Gaussian Perturbations Practical privacy: the sulq framework

Reference 10

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This paper cites Cambridge University Press, 2020.

Private Low-Rank Approximation for Covariance Matrices, Dyson Brownian Motion, and Eigenvalue-Gap Bounds for Gaussian Perturbations Cambridge University Press, 2020

Reference 11

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This paper cites Spectral fluctuations of classically chaotic quantum systems.Quantum Chaos and Statistical Nuclear Physics, 263:18–40, 1986.

Private Low-Rank Approximation for Covariance Matrices, Dyson Brownian Motion, and Eigenvalue-Gap Bounds for Gaussian Perturbations Spectral fluctuations of classically chaotic quantum systems.Quantum Chaos and Statistical Nuclear Physics, 263:18–40, 1986

Reference 12

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This paper cites The eigenvector moment flow and local quantum unique ergod- icity.

Private Low-Rank Approximation for Covariance Matrices, Dyson Brownian Motion, and Eigenvalue-Gap Bounds for Gaussian Perturbations The eigenvector moment flow and local quantum unique ergod- icity

Reference 13

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This paper cites Covariance-aware private mean estimation without private covariance estimation.Advances in neural information processing systems, 34:7950–7964, 2021.

Private Low-Rank Approximation for Covariance Matrices, Dyson Brownian Motion, and Eigenvalue-Gap Bounds for Gaussian Perturbations Covariance-aware private mean estimation without private covariance estimation.Advances in neural information processing systems, 34:7950–7964, 2021

Reference 14

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This paper cites Gaps between zeros of the riemann zeta-function.The Quarterly Journal of Mathematics, 69(2):403–423, 2018.

Private Low-Rank Approximation for Covariance Matrices, Dyson Brownian Motion, and Eigenvalue-Gap Bounds for Gaussian Perturbations Gaps between zeros of the riemann zeta-function.The Quarterly Journal of Mathematics, 69(2):403–423, 2018

Reference 15

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This paper cites Near-optimal differentially private principal components.

Private Low-Rank Approximation for Covariance Matrices, Dyson Brownian Motion, and Eigenvalue-Gap Bounds for Gaussian Perturbations Near-optimal differentially private principal components

Reference 16

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This paper cites The lower tail of q-pushtasep.Communications in Mathemat- ical Physics, 405(3):64, 2024.

Private Low-Rank Approximation for Covariance Matrices, Dyson Brownian Motion, and Eigenvalue-Gap Bounds for Gaussian Perturbations The lower tail of q-pushtasep.Communications in Mathemat- ical Physics, 405(3):64, 2024

Reference 17

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This paper cites Chaos, complexity, and random matrices.

Private Low-Rank Approximation for Covariance Matrices, Dyson Brownian Motion, and Eigenvalue-Gap Bounds for Gaussian Perturbations Chaos, complexity, and random matrices

Reference 18

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This paper cites I: Theory.

Private Low-Rank Approximation for Covariance Matrices, Dyson Brownian Motion, and Eigenvalue-Gap Bounds for Gaussian Perturbations I: Theory

Reference 19

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This paper cites An overview of low-rank matrix recovery from incomplete observations.

Private Low-Rank Approximation for Covariance Matrices, Dyson Brownian Motion, and Eigenvalue-Gap Bounds for Gaussian Perturbations An overview of low-rank matrix recovery from incomplete observations

Reference 20

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This paper cites The rotation of eigenvectors by a perturbation.

Private Low-Rank Approximation for Covariance Matrices, Dyson Brownian Motion, and Eigenvalue-Gap Bounds for Gaussian Perturbations The rotation of eigenvectors by a perturbation

Reference 21

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Observation 8adef06d-612c-4fb9-8a78-da98d90d92b6 · outbound

This paper cites Our data, ourselves: Privacy via distributed noise generation.

Private Low-Rank Approximation for Covariance Matrices, Dyson Brownian Motion, and Eigenvalue-Gap Bounds for Gaussian Perturbations Our data, ourselves: Privacy via distributed noise generation

Reference 22

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Observation 5a0277ef-a37e-4282-b5b5-e2b475db7542 · outbound

This paper cites Calibrating noise to sensi- tivity in private data analysis.

Private Low-Rank Approximation for Covariance Matrices, Dyson Brownian Motion, and Eigenvalue-Gap Bounds for Gaussian Perturbations Calibrating noise to sensi- tivity in private data analysis

Reference 23

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Observation 8d4627ef-d74e-4e04-b14e-ad2b2bebeb89 · outbound

This paper cites The algorithmic foundations of differential privacy.Founda- tions and Trends in Theoretical Computer Science, 9(3-4):211–407, 2014.

Private Low-Rank Approximation for Covariance Matrices, Dyson Brownian Motion, and Eigenvalue-Gap Bounds for Gaussian Perturbations The algorithmic foundations of differential privacy.Founda- tions and Trends in Theoretical Computer Science, 9(3-4):211–407, 2014

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This paper cites Analyze Gauss: Optimal bounds for privacy-preserving principal component analysis.

Private Low-Rank Approximation for Covariance Matrices, Dyson Brownian Motion, and Eigenvalue-Gap Bounds for Gaussian Perturbations Analyze Gauss: Optimal bounds for privacy-preserving principal component analysis

Reference 25

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This paper cites Random matrices and the statistical theory of energy levels IV.

Private Low-Rank Approximation for Covariance Matrices, Dyson Brownian Motion, and Eigenvalue-Gap Bounds for Gaussian Perturbations Random matrices and the statistical theory of energy levels IV

Reference 26

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Observation aecb6dfe-46d0-48c7-a536-ef220e838dd8 · outbound

This paper cites A Brownian-motion model for the eigenvalues of a random matrix.Journal of Mathematical Physics, 3(6):1191–1198, 1962.

Private Low-Rank Approximation for Covariance Matrices, Dyson Brownian Motion, and Eigenvalue-Gap Bounds for Gaussian Perturbations A Brownian-motion model for the eigenvalues of a random matrix.Journal of Mathematical Physics, 3(6):1191–1198, 1962

Reference 27

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This paper cites Statistical theory of the energy levels of complex systems.

Private Low-Rank Approximation for Covariance Matrices, Dyson Brownian Motion, and Eigenvalue-Gap Bounds for Gaussian Perturbations Statistical theory of the energy levels of complex systems

Reference 28

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This paper cites Universality of random matrices and local relaxation flow.Inventiones mathematicae, 185(1):75–119, 2011.

Private Low-Rank Approximation for Covariance Matrices, Dyson Brownian Motion, and Eigenvalue-Gap Bounds for Gaussian Perturbations Universality of random matrices and local relaxation flow.Inventiones mathematicae, 185(1):75–119, 2011

Reference 29

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Observation a06d8df5-9d87-41ba-b62f-aa7ac38e4e5f · outbound

This paper cites Rigidity of eigenvalues of generalized Wigner matrices.

Private Low-Rank Approximation for Covariance Matrices, Dyson Brownian Motion, and Eigenvalue-Gap Bounds for Gaussian Perturbations Rigidity of eigenvalues of generalized Wigner matrices

Reference 30

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This paper cites Small gaps of goe.

Private Low-Rank Approximation for Covariance Matrices, Dyson Brownian Motion, and Eigenvalue-Gap Bounds for Gaussian Perturbations Small gaps of goe

Reference 31

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Observation 0a9a4c56-0e13-4183-a7b1-1d223aae85f2 · outbound

This paper cites Large gaps of CUE and GUE.

Private Low-Rank Approximation for Covariance Matrices, Dyson Brownian Motion, and Eigenvalue-Gap Bounds for Gaussian Perturbations Large gaps of CUE and GUE

Reference 32

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Observation 9f1d8fd2-cb95-4f3d-9906-5363a339c0be · outbound

This paper cites Functional form for the leading correction to the distri- bution of the largest eigenvalue in the gue and lue.Journal of Mathematical Physics, 59(5), 2018.

Private Low-Rank Approximation for Covariance Matrices, Dyson Brownian Motion, and Eigenvalue-Gap Bounds for Gaussian Perturbations Functional form for the leading correction to the distri- bution of the largest eigenvalue in the gue and lue.Journal of Mathematical Physics, 59(5), 2018

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Observation 3ac565ef-7c74-4b85-8897-bd04631f8582 · outbound

This paper cites Ito calculus and complex brownian motion, January 2015.

Private Low-Rank Approximation for Covariance Matrices, Dyson Brownian Motion, and Eigenvalue-Gap Bounds for Gaussian Perturbations Ito calculus and complex brownian motion, January 2015

Reference 34

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Observation 2a360f71-a9ff-46f4-a603-f8e774183646 · outbound

This paper cites Order estimation via matrix completion for multi-switch antenna selection.IEEE Signal Processing Letters, 28:2063–2067, 2021.

Private Low-Rank Approximation for Covariance Matrices, Dyson Brownian Motion, and Eigenvalue-Gap Bounds for Gaussian Perturbations Order estimation via matrix completion for multi-switch antenna selection.IEEE Signal Processing Letters, 28:2063–2067, 2021

Reference 35

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Observation b1f25fd1-b17a-4f16-8df6-309993e6149d · outbound

This paper cites Statistical ensembles of complex, quaternion, and real matrices.

Private Low-Rank Approximation for Covariance Matrices, Dyson Brownian Motion, and Eigenvalue-Gap Bounds for Gaussian Perturbations Statistical ensembles of complex, quaternion, and real matrices

Reference 36

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Observation e5d2f2a0-385f-4c26-9302-1da8b8b9c98d · outbound

This paper cites Probing symmetries of quantum many-body systems through gap ratio statistics.Physical Review X, 12(1):011006, 2022.

Private Low-Rank Approximation for Covariance Matrices, Dyson Brownian Motion, and Eigenvalue-Gap Bounds for Gaussian Perturbations Probing symmetries of quantum many-body systems through gap ratio statistics.Physical Review X, 12(1):011006, 2022

Reference 37

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Observation 16b09a29-e92a-4161-8c97-a8630fe5da9c · outbound

This paper cites Circular law.

Private Low-Rank Approximation for Covariance Matrices, Dyson Brownian Motion, and Eigenvalue-Gap Bounds for Gaussian Perturbations Circular law

Reference 38

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Observation 0a2d0616-e6cc-409b-ba68-05ee955d0063 · outbound

This paper cites Smooth sensitivity based approach for differentially private PCA.

Private Low-Rank Approximation for Covariance Matrices, Dyson Brownian Motion, and Eigenvalue-Gap Bounds for Gaussian Perturbations Smooth sensitivity based approach for differentially private PCA

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T12:06:31.174218Z

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Observation 6878e630-ba27-4c1f-9e66-452099ed2511 · outbound

This paper cites Random-matrix theories in quantum physics: common concepts.Physics Reports, 299(4-6):189–425, 1998.

Private Low-Rank Approximation for Covariance Matrices, Dyson Brownian Motion, and Eigenvalue-Gap Bounds for Gaussian Perturbations Random-matrix theories in quantum physics: common concepts.Physics Reports, 299(4-6):189–425, 1998

Reference 40

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Observation 9a2b4eb1-5bd6-4158-8371-8a4873f344b5 · outbound

This paper cites Principalcomponent analysis andperturbation theory–based robust damage detection of multifunctional aircraft structure.Structural Health Monitoring, 12(3):263–277, 2013.

Private Low-Rank Approximation for Covariance Matrices, Dyson Brownian Motion, and Eigenvalue-Gap Bounds for Gaussian Perturbations Principalcomponent analysis andperturbation theory–based robust damage detection of multifunctional aircraft structure.Structural Health Monitoring, 12(3):263–277, 2013

Reference 41

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Observation 1d2feb29-90bf-400b-a27f-bd9a48cc682d · outbound

This paper cites Estimating the intrinsic dimension of hyperspectral images using a noise-whitened eigengap approach.

Private Low-Rank Approximation for Covariance Matrices, Dyson Brownian Motion, and Eigenvalue-Gap Bounds for Gaussian Perturbations Estimating the intrinsic dimension of hyperspectral images using a noise-whitened eigengap approach

Reference 42

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T12:06:31.128797Z

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Observation 42f3d20f-29c5-4274-a449-4318d4e2a042 · outbound

This paper cites Understanding alternating minimization for matrix completion.

Private Low-Rank Approximation for Covariance Matrices, Dyson Brownian Motion, and Eigenvalue-Gap Bounds for Gaussian Perturbations Understanding alternating minimization for matrix completion

Reference 43

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T12:06:31.113307Z

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Observation b3a53dbf-b524-4d8a-ac4e-56d4c3ffbc8c · outbound

This paper cites Beating randomized response on incoherent matrices.

Private Low-Rank Approximation for Covariance Matrices, Dyson Brownian Motion, and Eigenvalue-Gap Bounds for Gaussian Perturbations Beating randomized response on incoherent matrices

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Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T12:06:31.096945Z

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Observation b6ec7179-a27a-4af7-ad2f-59ba6f28b89d · outbound

This paper cites Beyond worst-case analysis in private singular vector com- putation.

Private Low-Rank Approximation for Covariance Matrices, Dyson Brownian Motion, and Eigenvalue-Gap Bounds for Gaussian Perturbations Beyond worst-case analysis in private singular vector com- putation

Reference 45

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T12:06:31.081386Z

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Observation ad16a876-c488-419e-89b3-c5252415e305 · outbound

This paper cites Collision or non-collision problem for interacting Brownian particles.Pro- ceedings of the Japan Academy, Series A, Mathematical Sciences, 82(4):66–70, 2006.

Private Low-Rank Approximation for Covariance Matrices, Dyson Brownian Motion, and Eigenvalue-Gap Bounds for Gaussian Perturbations Collision or non-collision problem for interacting Brownian particles.Pro- ceedings of the Japan Academy, Series A, Mathematical Sciences, 82(4):66–70, 2006

Reference 46

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Observation 1e11328a-8ced-4c2e-adc2-33d575babf99 · outbound

This paper cites An introduction to statistical learning, volume 112.

Private Low-Rank Approximation for Covariance Matrices, Dyson Brownian Motion, and Eigenvalue-Gap Bounds for Gaussian Perturbations An introduction to statistical learning, volume 112

Reference 47

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T12:06:31.049612Z

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation b175df4f-fd70-40e0-988b-ef3f202ffd0a · outbound

This paper cites Universality of the local spacing distribution in certain ensembles of hermitian wigner matrices.

Private Low-Rank Approximation for Covariance Matrices, Dyson Brownian Motion, and Eigenvalue-Gap Bounds for Gaussian Perturbations Universality of the local spacing distribution in certain ensembles of hermitian wigner matrices

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Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T12:06:31.033001Z

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Observation 9d300971-9a50-480b-bcf3-bddced84fc3d · outbound

This paper cites Random matrices and determinantal processes.

Private Low-Rank Approximation for Covariance Matrices, Dyson Brownian Motion, and Eigenvalue-Gap Bounds for Gaussian Perturbations Random matrices and determinantal processes

Reference 49

Resolution: verified exact; raw_fallback, observed 2026-08-08T12:06:30.460644Z

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Observation 573b7c07-1ac8-41c2-8fae-925125313597 · outbound

This paper cites Choosing a subset of principal components or variables.Principal component analysis, pages 111–149, 2002.

Private Low-Rank Approximation for Covariance Matrices, Dyson Brownian Motion, and Eigenvalue-Gap Bounds for Gaussian Perturbations Choosing a subset of principal components or variables.Principal component analysis, pages 111–149, 2002

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Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T12:06:31.017659Z

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 71971e29-90c6-4b0f-8881-aa0f63fd3086 · outbound

This paper cites On differentially private low rank approximation.

Private Low-Rank Approximation for Covariance Matrices, Dyson Brownian Motion, and Eigenvalue-Gap Bounds for Gaussian Perturbations On differentially private low rank approximation

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Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T12:06:31.001425Z

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Observation e2d24b9a-ca13-432f-b3f7-14ca832e6fb0 · outbound

This paper cites springer, 1991.

Private Low-Rank Approximation for Covariance Matrices, Dyson Brownian Motion, and Eigenvalue-Gap Bounds for Gaussian Perturbations springer, 1991

Reference 52

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T12:06:30.986235Z

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 880fc2b0-16df-4fcf-9645-7830c95e3e1c · outbound

This paper cites University of Cali- fornia, Berkeley, 2020.

Private Low-Rank Approximation for Covariance Matrices, Dyson Brownian Motion, and Eigenvalue-Gap Bounds for Gaussian Perturbations University of Cali- fornia, Berkeley, 2020

Reference 53

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T12:06:30.971514Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 9fe3e632-406e-4a14-850f-62d53f663ef1 · outbound

This paper cites Singular Subspace Perturbation Bounds via Rectangular Random Matrix Diffusions.

Private Low-Rank Approximation for Covariance Matrices, Dyson Brownian Motion, and Eigenvalue-Gap Bounds for Gaussian Perturbations Singular Subspace Perturbation Bounds via Rectangular Random Matrix Diffusions

Reference 54

Resolution: verified exact; local_arxiv, observed 2026-08-08T12:06:30.284553Z

Source-reported events for the cited work

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Observation 40d95b9f-3ad1-4292-87ac-0ac364b304a8 · outbound

This paper cites Convergence of local statistics of Dyson Brownian motion.

Private Low-Rank Approximation for Covariance Matrices, Dyson Brownian Motion, and Eigenvalue-Gap Bounds for Gaussian Perturbations Convergence of local statistics of Dyson Brownian motion

Reference 55

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T12:06:30.955998Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 2bebf346-6c64-48cd-a86b-69da38f800d7 · outbound

This paper cites Stochastic calculus: An introduction with applications.American Mathe- matical Society, 2010.

Private Low-Rank Approximation for Covariance Matrices, Dyson Brownian Motion, and Eigenvalue-Gap Bounds for Gaussian Perturbations Stochastic calculus: An introduction with applications.American Mathe- matical Society, 2010

Reference 56

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T12:06:30.940674Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 45b2b66c-eb23-4d71-b0d2-73c7402fd956 · outbound

This paper cites A polynomial-time algorithm and applications for matrix sampling from Harish-Chandra–Itzykson-Zuber densities.

Private Low-Rank Approximation for Covariance Matrices, Dyson Brownian Motion, and Eigenvalue-Gap Bounds for Gaussian Perturbations A polynomial-time algorithm and applications for matrix sampling from Harish-Chandra–Itzykson-Zuber densities

Reference 57

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T12:06:30.925037Z

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 63fd98cb-553a-45e4-a0e7-e2bd4255f12e · outbound

This paper cites Bulk universality for deformed Wigner matrices.

Private Low-Rank Approximation for Covariance Matrices, Dyson Brownian Motion, and Eigenvalue-Gap Bounds for Gaussian Perturbations Bulk universality for deformed Wigner matrices

Reference 58

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T12:06:30.909452Z

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Observation 487cde50-6aee-45fd-8d75-3ed33c53b921 · outbound

This paper cites Re-analyze Gauss: Bounds for private matrix approx- imation via Dyson Brownian motion.

Private Low-Rank Approximation for Covariance Matrices, Dyson Brownian Motion, and Eigenvalue-Gap Bounds for Gaussian Perturbations Re-analyze Gauss: Bounds for private matrix approx- imation via Dyson Brownian motion

Reference 59

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T12:06:30.893903Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 3d9d912e-9e65-4fdb-95c4-3ccd864d5e67 · outbound

This paper cites an unresolved cited work.

Private Low-Rank Approximation for Covariance Matrices, Dyson Brownian Motion, and Eigenvalue-Gap Bounds for Gaussian Perturbations Unresolved cited work

Reference 60

Resolution: unresolved; raw_fallback, observed 2026-08-08T12:06:30.878651Z

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Observation a4738ecd-2345-477c-bd60-a204f400b552 · outbound

This paper cites Pri- vate matrix approximation and geometry of unitary orbits.

Private Low-Rank Approximation for Covariance Matrices, Dyson Brownian Motion, and Eigenvalue-Gap Bounds for Gaussian Perturbations Pri- vate matrix approximation and geometry of unitary orbits

Reference 61

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T12:06:30.863858Z

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Observation 267d6bcf-065d-48d2-933e-9c5b9dc419c3 · outbound

This paper cites On the unreasonable effectiveness of single vector krylov methods for low-rank approximation.

Private Low-Rank Approximation for Covariance Matrices, Dyson Brownian Motion, and Eigenvalue-Gap Bounds for Gaussian Perturbations On the unreasonable effectiveness of single vector krylov methods for low-rank approximation

Reference 62

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T12:06:30.848637Z

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Observation 4f24fd13-022e-45fa-866b-bdd034bbd4e7 · outbound

This paper cites The pair correlation of zeros of the zeta function.

Private Low-Rank Approximation for Covariance Matrices, Dyson Brownian Motion, and Eigenvalue-Gap Bounds for Gaussian Perturbations The pair correlation of zeros of the zeta function

Reference 63

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T12:06:30.833118Z

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Observation 2fd83b6e-58fc-46d7-9194-d7b97fdd25a4 · outbound

This paper cites Cambridge University Press, 2010.

Private Low-Rank Approximation for Covariance Matrices, Dyson Brownian Motion, and Eigenvalue-Gap Bounds for Gaussian Perturbations Cambridge University Press, 2010

Reference 64

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T12:06:30.817867Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation aba3981b-9026-4d2a-9fc5-fe1117bd538a · outbound

This paper cites Random matrices: tail bounds for gaps between eigenvalues.

Private Low-Rank Approximation for Covariance Matrices, Dyson Brownian Motion, and Eigenvalue-Gap Bounds for Gaussian Perturbations Random matrices: tail bounds for gaps between eigenvalues

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Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T12:06:30.802284Z

Source-reported events for the cited work

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Observation f0ba753e-c20c-4e80-9324-95603f37dbe5 · outbound

This paper cites Random perturbation of low rank matrices: Improving classical bounds.

Private Low-Rank Approximation for Covariance Matrices, Dyson Brownian Motion, and Eigenvalue-Gap Bounds for Gaussian Perturbations Random perturbation of low rank matrices: Improving classical bounds

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Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T12:06:30.785871Z

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Observation 2f973e09-20ee-4627-bd64-5eb6791c5d66 · outbound

This paper cites Solving sparse linear systems faster than matrix multi- plication.

Private Low-Rank Approximation for Covariance Matrices, Dyson Brownian Motion, and Eigenvalue-Gap Bounds for Gaussian Perturbations Solving sparse linear systems faster than matrix multi- plication

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Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T12:06:30.768674Z

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Observation d9c565a3-ee9b-4cd5-b3e1-6cf99f36a4cd · outbound

This paper cites Eigenvalues and condition num- bers of complex random matrices.

Private Low-Rank Approximation for Covariance Matrices, Dyson Brownian Motion, and Eigenvalue-Gap Bounds for Gaussian Perturbations Eigenvalues and condition num- bers of complex random matrices

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Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T12:06:30.752192Z

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Observation a813875b-5b51-4e9b-8bd0-d5da5ac7270c · outbound

This paper cites On the calibration of sensor arrays for pattern recognition using the minimal number of experiments.

Private Low-Rank Approximation for Covariance Matrices, Dyson Brownian Motion, and Eigenvalue-Gap Bounds for Gaussian Perturbations On the calibration of sensor arrays for pattern recognition using the minimal number of experiments

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Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T12:06:30.736236Z

Source-reported events for the cited work

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Observation 7184171b-e437-43a4-8140-4ee009a27539 · outbound

This paper cites Interacting Brownian particles and the Wigner law.Prob- ability theory and related fields, 95(4):555–570, 1993.

Private Low-Rank Approximation for Covariance Matrices, Dyson Brownian Motion, and Eigenvalue-Gap Bounds for Gaussian Perturbations Interacting Brownian particles and the Wigner law.Prob- ability theory and related fields, 95(4):555–570, 1993

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Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T12:06:30.719545Z

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Observation d0e3a822-3e9f-4cf8-9841-12c4040dbb40 · outbound

This paper cites Zeros of principal l-functions and random matrix theory.

Private Low-Rank Approximation for Covariance Matrices, Dyson Brownian Motion, and Eigenvalue-Gap Bounds for Gaussian Perturbations Zeros of principal l-functions and random matrix theory

Reference 71

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T12:06:30.702294Z

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Observation b8645bdb-2abc-4091-af6a-884bd0650776 · outbound

This paper cites Old techniques in differentially private linear regression.

Private Low-Rank Approximation for Covariance Matrices, Dyson Brownian Motion, and Eigenvalue-Gap Bounds for Gaussian Perturbations Old techniques in differentially private linear regression

Reference 72

Resolution: unresolved; no resolver link, observed 2026-08-08T12:06:30.170242Z

Source-reported events for the cited work

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Observation e9082499-fb57-4333-91fa-1e3325a1267c · outbound

This paper cites Topics in random matrix theory, volume 132.

Private Low-Rank Approximation for Covariance Matrices, Dyson Brownian Motion, and Eigenvalue-Gap Bounds for Gaussian Perturbations Topics in random matrix theory, volume 132

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Resolution: unresolved; no resolver link, observed 2026-08-08T12:06:30.174882Z

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Observation 41fea2a1-d70d-4b84-9111-473cd51cc207 · outbound

This paper cites The asymptotic distribution of a single eigenvalue gap of a Wigner matrix.

Private Low-Rank Approximation for Covariance Matrices, Dyson Brownian Motion, and Eigenvalue-Gap Bounds for Gaussian Perturbations The asymptotic distribution of a single eigenvalue gap of a Wigner matrix

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Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T12:06:30.666829Z

Source-reported events for the cited work

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Observation a659484c-7704-4717-85ff-8d3fb9ca131f · outbound

This paper cites The price of privacy for low-rank factorization.Advances in Neural Informa- tion Processing Systems, 31, 2018.

Private Low-Rank Approximation for Covariance Matrices, Dyson Brownian Motion, and Eigenvalue-Gap Bounds for Gaussian Perturbations The price of privacy for low-rank factorization.Advances in Neural Informa- tion Processing Systems, 31, 2018

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Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T12:06:30.650285Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation f613d7da-0d0b-4d4d-93c6-81de672c9fbb · outbound

This paper cites Random schrödinger operators on long boxes, noise explosion and the goe.Transactions of the American Mathematical Society, 366(7):3709–3728, 2014.

Private Low-Rank Approximation for Covariance Matrices, Dyson Brownian Motion, and Eigenvalue-Gap Bounds for Gaussian Perturbations Random schrödinger operators on long boxes, noise explosion and the goe.Transactions of the American Mathematical Society, 366(7):3709–3728, 2014

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Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T12:06:30.633918Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 3aeed592-d516-4c82-9710-5ff65d1846b4 · outbound

This paper cites High-dimensional probability: An introduction with applications in data science, volume 47.

Private Low-Rank Approximation for Covariance Matrices, Dyson Brownian Motion, and Eigenvalue-Gap Bounds for Gaussian Perturbations High-dimensional probability: An introduction with applications in data science, volume 47

Reference 77

Resolution: unresolved; no resolver link, observed 2026-08-08T12:06:30.193689Z

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Unavailable: canonical work link unavailable.

Observation 486a69c9-b6a4-4ec9-8f99-078e3283ee16 · outbound

This paper cites A tutorial on spectral clustering.Statistics and computing, 17:395–416, 2007.

Private Low-Rank Approximation for Covariance Matrices, Dyson Brownian Motion, and Eigenvalue-Gap Bounds for Gaussian Perturbations A tutorial on spectral clustering.Statistics and computing, 17:395–416, 2007

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Resolution: unresolved; no resolver link, observed 2026-08-08T12:06:30.198281Z

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Unavailable: canonical work link unavailable.

Observation 40239ef8-ceac-4913-a5c0-69c07ab18f29 · outbound

This paper cites Perturbation bounds in connection with singular value decomposition.BIT Numerical Mathematics, 12:99–111, 1972.

Private Low-Rank Approximation for Covariance Matrices, Dyson Brownian Motion, and Eigenvalue-Gap Bounds for Gaussian Perturbations Perturbation bounds in connection with singular value decomposition.BIT Numerical Mathematics, 12:99–111, 1972

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Resolution: unresolved; no resolver link, observed 2026-08-08T12:06:30.202970Z

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Unavailable: canonical work link unavailable.

Observation fee033d8-8bf5-48e6-b218-e1af18dcb99e · outbound

This paper cites Characteristic vectors of bordered matrices with infinite dimensions.The Annals of Mathematics, 62(3):548, 1955.

Private Low-Rank Approximation for Covariance Matrices, Dyson Brownian Motion, and Eigenvalue-Gap Bounds for Gaussian Perturbations Characteristic vectors of bordered matrices with infinite dimensions.The Annals of Mathematics, 62(3):548, 1955

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Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T12:06:30.586881Z

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 551e3171-f7d7-4a7c-b960-8ecdf9c863d6 · outbound

This paper cites Gatlinberg conference on neutron physics.Oak Ridge National Laboratory Report, 1956.

Private Low-Rank Approximation for Covariance Matrices, Dyson Brownian Motion, and Eigenvalue-Gap Bounds for Gaussian Perturbations Gatlinberg conference on neutron physics.Oak Ridge National Laboratory Report, 1956

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Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T12:06:30.570363Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 323d6a78-272d-4a28-a793-0d673fe2bcc6 · outbound

This paper cites A useful variant of the davis–kahan theorem for statisticians.

Private Low-Rank Approximation for Covariance Matrices, Dyson Brownian Motion, and Eigenvalue-Gap Bounds for Gaussian Perturbations A useful variant of the davis–kahan theorem for statisticians

Reference 82

Resolution: unresolved; no resolver link, observed 2026-08-08T12:06:30.217839Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 312aec86-00f3-4d93-943f-6cc51114eb19 · outbound

This paper cites A note on exploratory item factor analysis by singular value decomposition.Psychometrika, 85(2):358–372, 2020.

Private Low-Rank Approximation for Covariance Matrices, Dyson Brownian Motion, and Eigenvalue-Gap Bounds for Gaussian Perturbations A note on exploratory item factor analysis by singular value decomposition.Psychometrika, 85(2):358–372, 2020

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Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T12:06:30.545058Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation fa46d55b-5bfb-4f9e-a00e-c94ea962f02e · outbound

This paper cites If we only wish to bound the weaker utility metric ∥ ˆMk−M∥2 F−∥Mk−M∥2 F, we can instead apply Ito’s Lemma to the function g(Y ) :=∥Y−M∥2 F.

Private Low-Rank Approximation for Covariance Matrices, Dyson Brownian Motion, and Eigenvalue-Gap Bounds for Gaussian Perturbations If we only wish to bound the weaker utility metric ∥ ˆMk−M∥2 F−∥Mk−M∥2 F, we can instead apply Ito’s Lemma to the function g(Y ) :=∥Y−M∥2 F

Reference 84

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T12:06:30.528641Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation cff4096e-387f-4586-bbb8-208dc772fb46 · outbound

This paper cites To see why, we first note that from the proof of Theorem 2.3, we have dΨ(t) Eq.

Private Low-Rank Approximation for Covariance Matrices, Dyson Brownian Motion, and Eigenvalue-Gap Bounds for Gaussian Perturbations To see why, we first note that from the proof of Theorem 2.3, we have dΨ(t) Eq

Reference 85

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T12:06:30.511828Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 1d90bb01-72a7-475c-8487-054449a7b595 · outbound

This paper cites classical.

Private Low-Rank Approximation for Covariance Matrices, Dyson Brownian Motion, and Eigenvalue-Gap Bounds for Gaussian Perturbations classical

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Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T12:06:30.495480Z

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