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Paper Citation Record · LEDGER

Statistical Limits for Finite-Rank Tensor Estimation

As of 9 August 2026, this Paper Citation Record lists 67 of 67 outbound references and 1 inbound Pith citation observation for arXiv:2506.06749.

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

pith.paper-citation-record.v1
2506.06749 v1

Coverage vector

measured 67 of 67 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T05:54:49.402010Z

measured 68 of 68 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-06-28T23:51:24.791424Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-06-28T23:52:49.348751Z

Reference resolution

67 of 67 outbound references displayed

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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation bf2f03de-8296-4425-8224-60cd3cb6a828 · outbound

This paper cites Community detection and stochastic block models: Recent developments.Journal of Machine Learning Research, 18(177):1–86, 2018.

Statistical Limits for Finite-Rank Tensor Estimation Community detection and stochastic block models: Recent developments.Journal of Machine Learning Research, 18(177):1–86, 2018

Reference 1

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Observation 814c6ae4-3f67-4ab0-a8a0-ce491ae48450 · outbound

This paper cites Recovering communities in the general stochastic block model without knowing the parameters.Advances in neural information processing systems, 28, 2015.

Statistical Limits for Finite-Rank Tensor Estimation Recovering communities in the general stochastic block model without knowing the parameters.Advances in neural information processing systems, 28, 2015

Reference 2

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Observation 346abc88-2cf6-49b8-85dd-3e37e4786129 · outbound

This paper cites Beyond pairwise clustering.

Statistical Limits for Finite-Rank Tensor Estimation Beyond pairwise clustering

Reference 3

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Observation dcd326fc-6887-41b7-bea2-c547725b8eac · outbound

This paper cites Guaranteed Non-Orthogonal Tensor Decomposition via Alternating Rank-$1$ Updates.

Statistical Limits for Finite-Rank Tensor Estimation Guaranteed Non-Orthogonal Tensor Decomposition via Alternating Rank-$1$ Updates

Reference 4

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source=pdf_text observed=2026-08-07T05:54:49.117155Z digest=sha256:0d61ab004a0485d7136db02965cb00e340cc48701676d5ce7ace0706dd36df97

Observation 600cf3e1-ebac-450e-8f29-f648feb22d79 · outbound

This paper cites Phase transition of the largest eigenvalue for nonnull complex sample covariance matrices.The Annals of Probability, 33(5):1643–1697, 2005.

Statistical Limits for Finite-Rank Tensor Estimation Phase transition of the largest eigenvalue for nonnull complex sample covariance matrices.The Annals of Probability, 33(5):1643–1697, 2005

Reference 5

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source=pdf_text observed=2026-08-07T05:54:49.122214Z digest=sha256:5afd2ddc7912adc7a8e8fc49bfe6d2daac9c86447a9bbad228683471282c1506

Observation 65e382da-989f-4f79-882b-e32907b9e94e · outbound

This paper cites Approximation algorithms for multi- dimensional assignment problems with decomposable costs.Discrete Applied Mathematics, 49(1-3):25–50, 1994.

Statistical Limits for Finite-Rank Tensor Estimation Approximation algorithms for multi- dimensional assignment problems with decomposable costs.Discrete Applied Mathematics, 49(1-3):25–50, 1994

Reference 6

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Observation 9f2c3eb0-9c53-425f-879a-eae033e3e07e · outbound

This paper cites Information-theoretic thresholds for community detection in sparse networks.

Statistical Limits for Finite-Rank Tensor Estimation Information-theoretic thresholds for community detection in sparse networks

Reference 7

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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Observation cdfe7d54-b2a8-471d-855c-3b9b1ef65e97 · outbound

This paper cites Behne and Galen Reeves.

Statistical Limits for Finite-Rank Tensor Estimation Behne and Galen Reeves

Reference 8

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Observation 2ec326e9-18b7-4cee-a751-e211a2c588ee · outbound

This paper cites Algorithmic thresholds for tensor pca.The Annals of Probability, 48(4):2052–2087, 2020.

Statistical Limits for Finite-Rank Tensor Estimation Algorithmic thresholds for tensor pca.The Annals of Probability, 48(4):2052–2087, 2020

Reference 9

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Observation 6a640761-b1b9-47fc-9459-eb3d4a598162 · outbound

This paper cites The landscape of the spiked tensor model.

Statistical Limits for Finite-Rank Tensor Estimation The landscape of the spiked tensor model

Reference 10

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Observation 84fe1967-8c5d-4143-85b8-2e33eb949db3 · outbound

This paper cites The eigenvalues and eigenvectors of finite, low rank perturbations of large random matrices.Advances in Mathematics, 227(1):494–521, 2011.

Statistical Limits for Finite-Rank Tensor Estimation The eigenvalues and eigenvectors of finite, low rank perturbations of large random matrices.Advances in Mathematics, 227(1):494–521, 2011

Reference 11

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Statistical Limits for Finite-Rank Tensor Estimation Unresolved cited work

Reference 12

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Observation 1f80511e-ad7b-4dc0-811f-5af78ab8f1da · outbound

This paper cites Recovering asymmetric communities in the stochastic block model.IEEE Transactions on Network Science and Engineering, 5(3):237–246, 2017.

Statistical Limits for Finite-Rank Tensor Estimation Recovering asymmetric communities in the stochastic block model.IEEE Transactions on Network Science and Engineering, 5(3):237–246, 2017

Reference 13

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Observation c981f9ae-3eb1-4339-a36e-ee109ba758bd · outbound

This paper cites Differentiability and overlap concentration in optimal Bayesian inference.

Statistical Limits for Finite-Rank Tensor Estimation Differentiability and overlap concentration in optimal Bayesian inference

Reference 14

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Observation 814cb320-bd88-43e7-852b-b95bcf54b306 · outbound

This paper cites Asymptotics of smoothed wasserstein distances.Potential Analysis, pages 1–25, 2021.

Statistical Limits for Finite-Rank Tensor Estimation Asymptotics of smoothed wasserstein distances.Potential Analysis, pages 1–25, 2021

Reference 15

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Observation e4fada95-c4d9-4f1a-b526-7f7f9b478d7e · outbound

This paper cites Statistical inference of finite-rank tensors.

Statistical Limits for Finite-Rank Tensor Estimation Statistical inference of finite-rank tensors

Reference 16

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Observation c695d50c-30ae-49bd-a142-c5fabad77ec5 · outbound

This paper cites Asymptotic mutual information for the balanced binary stochastic block model.Information and Inference, 6(2):125–170, June 2017.

Statistical Limits for Finite-Rank Tensor Estimation Asymptotic mutual information for the balanced binary stochastic block model.Information and Inference, 6(2):125–170, June 2017

Reference 17

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Observation 7881778a-96cb-423b-8656-c68aeac35c14 · outbound

This paper cites Information-theoretically optimal sparse PCA.

Statistical Limits for Finite-Rank Tensor Estimation Information-theoretically optimal sparse PCA

Reference 18

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Observation 7ec1eb07-dcce-4447-8fc5-4284b67f7307 · outbound

This paper cites Contextual Stochastic Block Models.

Statistical Limits for Finite-Rank Tensor Estimation Contextual Stochastic Block Models

Reference 19

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Source-reported events for the cited work

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Observation a669cff3-7f89-43c7-b57c-4aa5b74d9d04 · outbound

This paper cites Mutual information for symmetric rank-one matrix estimation: A proof of the replica formula.Advances in Neural Information Processing Systems, 29, 2016.

Statistical Limits for Finite-Rank Tensor Estimation Mutual information for symmetric rank-one matrix estimation: A proof of the replica formula.Advances in Neural Information Processing Systems, 29, 2016

Reference 20

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Observation 02362070-5214-4e2c-828d-8e17a9152dae · outbound

This paper cites On the rate of convergence in wasserstein distance of the empirical measure.

Statistical Limits for Finite-Rank Tensor Estimation On the rate of convergence in wasserstein distance of the empirical measure

Reference 21

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Observation c4ae6d01-d0f0-40d4-a2fd-05a2d4772073 · outbound

This paper cites An entropic interpolation proof of the hwi inequality.Stochastic Processes and their Applications, 130(2):907–923, 2020.

Statistical Limits for Finite-Rank Tensor Estimation An entropic interpolation proof of the hwi inequality.Stochastic Processes and their Applications, 130(2):907–923, 2020

Reference 22

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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Observation a69daabb-adca-4b2e-8a82-627b33295a0c · outbound

This paper cites Estimating rank-one matrices with mismatched prior and noise: Universality and large deviations.Communications in Mathematical Physics, 406(1):9, 2024.

Statistical Limits for Finite-Rank Tensor Estimation Estimating rank-one matrices with mismatched prior and noise: Universality and large deviations.Communications in Mathematical Physics, 406(1):9, 2024

Reference 23

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Observation 76d6d4f4-c7d9-403f-819d-5377fa676ea5 · outbound

This paper cites Low-rank matrix estimation with inhomogeneous noise.

Statistical Limits for Finite-Rank Tensor Estimation Low-rank matrix estimation with inhomogeneous noise

Reference 24

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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Observation 69e56847-48cc-408d-b78f-587b182c757c · outbound

This paper cites Estimation in Gaussian Noise: Properties of the Minimum Mean-Square Error.IEEE Transactions on Information Theory, 57(4):2371–2385, April 2011.

Statistical Limits for Finite-Rank Tensor Estimation Estimation in Gaussian Noise: Properties of the Minimum Mean-Square Error.IEEE Transactions on Information Theory, 57(4):2371–2385, April 2011

Reference 25

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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Observation 3f3b5589-25c0-41c6-b8a1-8fb84bb35672 · outbound

This paper cites Universality of regularized regression estimators in high dimensions.The Annals of Statistics, 51(4):1799–1823, 2023.

Statistical Limits for Finite-Rank Tensor Estimation Universality of regularized regression estimators in high dimensions.The Annals of Statistics, 51(4):1799–1823, 2023

Reference 26

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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Observation b681e3c5-b472-4007-8bdb-a2fa396aded0 · outbound

This paper cites An optimal statistical and computational framework for generalized tensor estimation.The Annals of Statistics, 50(1):1–29, 2022.

Statistical Limits for Finite-Rank Tensor Estimation An optimal statistical and computational framework for generalized tensor estimation.The Annals of Statistics, 50(1):1–29, 2022

Reference 27

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation 000fb1d6-c11e-4f25-ae62-ffb4195bfad4 · outbound

This paper cites Hopkins, Pravesh K.

Statistical Limits for Finite-Rank Tensor Estimation Hopkins, Pravesh K

Reference 28

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Observation ede2b732-1ac5-4b30-ab52-8ff21f12b14e · outbound

This paper cites Fast spectral algorithms from sum-of-squares proofs: tensor decomposition and planted sparse vectors.

Statistical Limits for Finite-Rank Tensor Estimation Fast spectral algorithms from sum-of-squares proofs: tensor decomposition and planted sparse vectors

Reference 29

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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Observation 5a26a562-5595-4f82-a98e-b86b380f1a49 · outbound

This paper cites Tensor principal component analysis via sum-of- square proofs.

Statistical Limits for Finite-Rank Tensor Estimation Tensor principal component analysis via sum-of- square proofs

Reference 30

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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Observation 5a19163e-feb4-473e-a2fa-e9057b9abd42 · outbound

This paper cites Hopkins and David Steurer.

Statistical Limits for Finite-Rank Tensor Estimation Hopkins and David Steurer

Reference 31

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T05:54:49.241961Z digest=sha256:d5a3b6a2a3ce90eaf9f0b6e8b8a52b6806f2b60ce64460ec82bff0701c401f88

Observation 75d5a73d-3256-4d62-bbcf-aa76c8b0c131 · outbound

This paper cites Sharp Asymptotics of Kernel Ridge Regression Beyond the Linear Regime.

Statistical Limits for Finite-Rank Tensor Estimation Sharp Asymptotics of Kernel Ridge Regression Beyond the Linear Regime

Reference 32

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T05:54:49.246360Z digest=sha256:3a8bfb1e482430bef95694f3a16ec5eee1a6bbfa23be7776388fb43e8afd4ac9

Observation 5e744800-087c-4998-a4ce-c75e33814539 · outbound

This paper cites Power iteration for tensor pca.Journal of Machine Learning Research, 23(128):1–47, 2022.

Statistical Limits for Finite-Rank Tensor Estimation Power iteration for tensor pca.Journal of Machine Learning Research, 23(128):1–47, 2022

Reference 33

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T05:54:49.251594Z digest=sha256:3cfb9b9260cf42fa97090dea3a5aa46e3507a97976e29b3c94c58845fe5b8336

Observation ae7a7d4e-56d4-455b-a64d-9fa44507cd2c · outbound

This paper cites The nishimori line and bayesian statistics.Journal of Physics A: Mathematical and General, 32(21):3875, 1999.

Statistical Limits for Finite-Rank Tensor Estimation The nishimori line and bayesian statistics.Journal of Physics A: Mathematical and General, 32(21):3875, 1999

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raw_fallback, observed 2026-08-07T05:54:50.064723Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T05:54:49.256197Z digest=sha256:6d5dde6797293353ccafeb3bf6f9bb9c8f9aafb678b8d6e8057036b0ff2dc6f5

Observation 10aaca1b-aaf8-40d9-bdae-0d1c3291fa73 · outbound

This paper cites Extending Mercer's expansion to indefinite and asymmetric kernels.

Statistical Limits for Finite-Rank Tensor Estimation Extending Mercer's expansion to indefinite and asymmetric kernels

Reference 35

Resolution
verified exact
local_arxiv, observed 2026-08-07T05:54:49.584633Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T05:54:49.260658Z digest=sha256:137aa0df578ea151bdd8952d29700358a728c8f118bd4f4a9e43a3f488a41249

Observation fcd88df4-69c1-412f-ae94-77526c3e1ff3 · outbound

This paper cites On the distribution of the largest eigenvalue in principal components analysis.The Annals of statistics, 29(2):295–327, 2001.

Statistical Limits for Finite-Rank Tensor Estimation On the distribution of the largest eigenvalue in principal components analysis.The Annals of statistics, 29(2):295–327, 2001

Reference 36

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unresolved
no resolver link, observed 2026-08-07T05:54:49.265748Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T05:54:49.265748Z digest=sha256:290eab5a2d265e9cd0ec3bb4a79246d48580b805f6baa9e3d51c29af5f736192

Observation 95cb678e-5d22-43d5-9b86-91e4229862f1 · outbound

This paper cites Statistical mechanics of low-rank tensor decomposition.Advances in Neural Information Processing Systems, 31, 2018.

Statistical Limits for Finite-Rank Tensor Estimation Statistical mechanics of low-rank tensor decomposition.Advances in Neural Information Processing Systems, 31, 2018

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:54:50.039813Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T05:54:49.270220Z digest=sha256:baad392c9883de288ec9c657f8b1f091d4fdef50a3b512a72f8d769c0d8f2cda

Observation 96b928fd-8e5d-4874-8986-ef3f02936c3d · outbound

This paper cites Koopmans and Martin Beckmann.

Statistical Limits for Finite-Rank Tensor Estimation Koopmans and Martin Beckmann

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:54:50.024746Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T05:54:49.274586Z digest=sha256:c41e5344c12fe93b1ec923e6e123cfac1bfdc6c98d34cfe99d44f9c43b4014ec

Observation 8bad77a5-7fdb-4d72-80c0-17e66d7b9779 · outbound

This paper cites Applications of the lindeberg principle in communications and statistical learning.IEEE transactions on information theory, 57(4):2440–2450, 2011.

Statistical Limits for Finite-Rank Tensor Estimation Applications of the lindeberg principle in communications and statistical learning.IEEE transactions on information theory, 57(4):2440–2450, 2011

Reference 39

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:54:50.008502Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T05:54:49.279197Z digest=sha256:30c1d4c7de46737b209af6425781a085d08961771f414c6bee8dbd1533f5889e

Observation 168b35e8-1092-4849-a741-ea439abf0f06 · outbound

This paper cites Wein, and Afonso S.

Statistical Limits for Finite-Rank Tensor Estimation Wein, and Afonso S

Reference 40

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:54:49.993850Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T05:54:49.283746Z digest=sha256:c342da0b806d9f6abef384581b26aac31c42c300bf5e122b55acc2794abc985d

Observation dcb47dc3-d286-4c5a-a48d-c1791bd02f56 · outbound

This paper cites The quadratic assignment problem.Management science, 9(4):586–599, 1963.

Statistical Limits for Finite-Rank Tensor Estimation The quadratic assignment problem.Management science, 9(4):586–599, 1963

Reference 41

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:54:49.979711Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T05:54:49.288138Z digest=sha256:707d5c40a7eb351e4c87fc7f70d9a4e17feb1b519bb9d72ffde41067080184d9

Observation df761cd3-1978-4d87-a19a-544c14590d43 · outbound

This paper cites Fundamental limits of symmetric low-rank matrix estimation.Probability Theory and Related Fields, 173(3):859–929, 2019.

Statistical Limits for Finite-Rank Tensor Estimation Fundamental limits of symmetric low-rank matrix estimation.Probability Theory and Related Fields, 173(3):859–929, 2019

Reference 42

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:54:49.964369Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T05:54:49.292403Z digest=sha256:17e9aa482c27fb0ec70067b1106c893daa4f3b5e33df8d61ece66de1ea35e179

Observation 784e4941-a14e-4d4d-98ef-47272ae93d1e · outbound

This paper cites Mmse of probabilistic low-rank matrix estimation: Universality with respect to the output channel.

Statistical Limits for Finite-Rank Tensor Estimation Mmse of probabilistic low-rank matrix estimation: Universality with respect to the output channel

Reference 43

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:54:49.950079Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T05:54:49.296753Z digest=sha256:ff09b749fc244fb24f4e6eb834fcee0d5db62b15a9758e2cce8447426cbc1e3f

Observation 3d6cd8d5-ae04-4195-897b-fac43a9e9791 · outbound

This paper cites Statistical and computational phase transitions in spiked tensor estimation.

Statistical Limits for Finite-Rank Tensor Estimation Statistical and computational phase transitions in spiked tensor estimation

Reference 44

Resolution
unresolved
no resolver link, observed 2026-08-07T05:54:49.301293Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T05:54:49.301293Z digest=sha256:7288fc485d99f2401fa1505864fee71d7f2fcebe188002aef40b4691fbf0aa2f

Observation 2c8167c0-b8ab-4095-a95e-63a43a2285d8 · outbound

This paper cites Large networks and graph limits, volume 60.

Statistical Limits for Finite-Rank Tensor Estimation Large networks and graph limits, volume 60

Reference 45

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:54:49.926409Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T05:54:49.305629Z digest=sha256:acb1ac7c21bdbe901aa702f7dae429cb0fe61451a6f5ba7274957fb0c81e8ebf

Observation 008382cc-922d-414d-b648-0d355eddfe4f · outbound

This paper cites An Equivalence Principle for the Spectrum of Random Inner-Product Kernel Matrices with Polynomial Scalings.

Statistical Limits for Finite-Rank Tensor Estimation An Equivalence Principle for the Spectrum of Random Inner-Product Kernel Matrices with Polynomial Scalings

Reference 46

Resolution
unresolved
no resolver link, observed 2026-08-07T05:54:49.309883Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T05:54:49.309883Z digest=sha256:feb455d65b58e1a7723fbbca3181f4348ea6683b29bcee8470baec1510332b99

Observation 86bf84a6-620e-429d-92e4-1cc163327d6c · outbound

This paper cites an unresolved cited work.

Statistical Limits for Finite-Rank Tensor Estimation Unresolved cited work

Reference 47

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:54:49.912653Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T05:54:49.314740Z digest=sha256:5870ed4867c80f59e44ffcf5e7596246505d9dbb6c66550f95b6cbc89cb07360

Observation ef756690-d840-4067-932a-3fd22107f9b9 · outbound

This paper cites Mutual Information in Community Detection with Covariate Information and Correlated Networks.

Statistical Limits for Finite-Rank Tensor Estimation Mutual Information in Community Detection with Covariate Information and Correlated Networks

Reference 48

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:54:49.898773Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T05:54:49.319206Z digest=sha256:59ff7228db83fff046451ab0a03b80028b0fde6aaea38b22a375196942e460b5

Observation a6dc67a9-7104-469e-a421-da6b26bbc75b · outbound

This paper cites Fundamental limits of Non-Linear Low-Rank Matrix Estimation.

Statistical Limits for Finite-Rank Tensor Estimation Fundamental limits of Non-Linear Low-Rank Matrix Estimation

Reference 49

Resolution
verified exact
local_arxiv, observed 2026-08-07T05:54:49.547345Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T05:54:49.323438Z digest=sha256:22dcdfe474a8316a4e7a73513b4a5dc007da9215117f8a45005bf9028825a1ba

Observation ab99ef57-99bd-436a-9270-cd12f3d79d06 · outbound

This paper cites Oxford University Press, 2009.

Statistical Limits for Finite-Rank Tensor Estimation Oxford University Press, 2009

Reference 50

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:54:49.883766Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T05:54:49.328190Z digest=sha256:007612f31ce85082d59ff29d991320d781cdbd51cec1f22c85b6572948c86d9f

Observation 59df790e-b6e2-4b9c-a6e6-e610fa947ec4 · outbound

This paper cites Fundamental limits of low-rank matrix estimation: the non-symmetric case.

Statistical Limits for Finite-Rank Tensor Estimation Fundamental limits of low-rank matrix estimation: the non-symmetric case

Reference 51

Resolution
unresolved
no resolver link, observed 2026-08-07T05:54:49.332432Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T05:54:49.332432Z digest=sha256:c57ae68a685acf17702445b96a4437b17e0ee20dba29f108bad90b95c363bebf

Observation a00232c2-7d06-42f6-a544-5f5e3d0599c5 · outbound

This paper cites an unresolved cited work.

Statistical Limits for Finite-Rank Tensor Estimation Unresolved cited work

Reference 52

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:54:49.869401Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T05:54:49.337228Z digest=sha256:26784c90854d13e02dadffb338293bd6c6d3992dbccd027bd946dcce9b94bf56

Observation 61e24dae-783f-46a7-99b7-a3a16583b2d6 · outbound

This paper cites A statistical model for tensor pca.Advances in neural information processing systems, 27, 2014.

Statistical Limits for Finite-Rank Tensor Estimation A statistical model for tensor pca.Advances in neural information processing systems, 27, 2014

Reference 53

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:54:49.854622Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T05:54:49.341697Z digest=sha256:45e9b2184d6b0511258277f85bf327ffca79b1168d1bba82e9b0a5e612cf2e61

Observation d1057073-d88e-47cb-8ac2-da833b7f8efa · outbound

This paper cites Statistical physics of spin glasses and information processing: an introduction.

Statistical Limits for Finite-Rank Tensor Estimation Statistical physics of spin glasses and information processing: an introduction

Reference 54

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:54:49.840042Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T05:54:49.345878Z digest=sha256:ee90eb0081860f237e3955a435515ccaa550f9ecd6abe7888ff4495db0edcf9d

Observation 07ca8ed9-87b1-476e-852c-f835fc7a270b · outbound

This paper cites Generalization of an inequality by talagrand and links with the logarithmic sobolev inequality.Journal of Functional Analysis, 173(2):361–400, 2000.

Statistical Limits for Finite-Rank Tensor Estimation Generalization of an inequality by talagrand and links with the logarithmic sobolev inequality.Journal of Functional Analysis, 173(2):361–400, 2000

Reference 55

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:54:49.824873Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T05:54:49.350154Z digest=sha256:839b55da695f33735243428162b351cef73c7df5b737c36550bed1a13cbf09d7

Observation f8cc8dcf-3763-4fad-9f26-97694d71425d · outbound

This paper cites Wein, and Afonso S.

Statistical Limits for Finite-Rank Tensor Estimation Wein, and Afonso S

Reference 56

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:54:49.809756Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T05:54:49.354834Z digest=sha256:97265a18daed93ed03108f51731ec21e43612ef5a735990b7704fb110a9fe038

Observation e4132d98-eab2-4d2f-940d-f77d9acc337e · outbound

This paper cites Are gaussian data all you need? the extents and limits of universality in high-dimensional generalized linear estimation.

Statistical Limits for Finite-Rank Tensor Estimation Are gaussian data all you need? the extents and limits of universality in high-dimensional generalized linear estimation

Reference 57

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:54:49.791325Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T05:54:49.359166Z digest=sha256:e263ae45b7c1f8dbf98c544930b7c5fe4426a91ff5880417a047eb8062a0056e

Observation a1386503-651c-4a2b-9781-984287184aae · outbound

This paper cites The multidimensional assignment problem.Operations Research, 16(2):422–431, 1968.

Statistical Limits for Finite-Rank Tensor Estimation The multidimensional assignment problem.Operations Research, 16(2):422–431, 1968

Reference 58

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:54:49.774183Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T05:54:49.363453Z digest=sha256:75c518a5a1bf71f310eccae8e11483dd0e22d09ffc9ca279da5f85f0f6e4dead

Observation 78a0fde1-73cc-4982-9f02-bff9e92d2055 · outbound

This paper cites Information-Theoretic Limits for the Matrix Tensor Product.IEEE Journal on Selected Areas in Information Theory, 1(3):777–798, November 2020.

Statistical Limits for Finite-Rank Tensor Estimation Information-Theoretic Limits for the Matrix Tensor Product.IEEE Journal on Selected Areas in Information Theory, 1(3):777–798, November 2020

Reference 59

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:54:49.757873Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T05:54:49.367600Z digest=sha256:f7851d36924bb2baf430fbf1ed973cc265283003027644df2faf07bd830e6850

Observation 561c4a0d-76c2-42dd-89a1-160f2f1e2166 · outbound

This paper cites The Geometry of Community Detection via the MMSE Matrix.

Statistical Limits for Finite-Rank Tensor Estimation The Geometry of Community Detection via the MMSE Matrix

Reference 60

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:54:49.740558Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T05:54:49.372037Z digest=sha256:1e7630d1ca881f09416326f799648c0f7082dd7a90c251587e8fd0dae50f1a77

Observation da1bdf6a-62e9-4cc5-8f7f-ae6017572c1c · outbound

This paper cites Pfister, and Alex Dytso.

Statistical Limits for Finite-Rank Tensor Estimation Pfister, and Alex Dytso

Reference 61

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:54:49.724634Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T05:54:49.376437Z digest=sha256:5a00d55c6db0f08bff293405917ecf2e9222959c826affde665a7378ac1a735d

Observation d014a763-7e85-4dac-8ee2-8e6319f1db9b · outbound

This paper cites An empirical bayes approach to statistics.

Statistical Limits for Finite-Rank Tensor Estimation An empirical bayes approach to statistics

Reference 62

Resolution
unresolved
no resolver link, observed 2026-08-07T05:54:49.380776Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T05:54:49.380776Z digest=sha256:53fb28d9f3a4bcffe46b43172c847325290a78331cd2eac8f731877966678f95

Observation b9229119-b738-409a-8f99-2e744e24ea94 · outbound

This paper cites Optimal transport for applied mathematicians.Birkäuser, NY, 55(58-63):94, 2015.

Statistical Limits for Finite-Rank Tensor Estimation Optimal transport for applied mathematicians.Birkäuser, NY, 55(58-63):94, 2015

Reference 63

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:54:49.700673Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T05:54:49.385013Z digest=sha256:57379e898becd957a2b46f91060edbffdd5f65088bce56ac345f3d82b78e9c58

Observation 534880ad-27a3-427a-b10b-fb3fe7ce7c0f · outbound

This paper cites Solvable model of a spin-glass.

Statistical Limits for Finite-Rank Tensor Estimation Solvable model of a spin-glass

Reference 64

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:54:49.685592Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T05:54:49.389381Z digest=sha256:a869836051162a464787084addcb47e080ab619d75d3b095f00e11c5a728f67b

Observation e150cd74-96c9-4507-b447-bbb29e2df69d · outbound

This paper cites Sharp analysis of power iteration for tensor pca.Journal of Machine Learning Research, 25(195):1–42, 2024.

Statistical Limits for Finite-Rank Tensor Estimation Sharp analysis of power iteration for tensor pca.Journal of Machine Learning Research, 25(195):1–42, 2024

Reference 65

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:54:49.670735Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T05:54:49.393558Z digest=sha256:592feb593023d4cd9dce48f7a18481b5345818c20d9188c410bc740d7c62f07e

Observation 42356a5c-440a-4e43-a3f0-35a91f876760 · outbound

This paper cites Asymptotic mutual information in quadratic estimation problems over compact groups.arXiv preprint arXiv:2404.10169, 2024.

Statistical Limits for Finite-Rank Tensor Estimation Asymptotic mutual information in quadratic estimation problems over compact groups.arXiv preprint arXiv:2404.10169, 2024

Reference 66

Resolution
verified exact
raw_fallback, observed 2026-08-07T05:54:49.510135Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T05:54:49.397851Z digest=sha256:6978352f0cb57b22e58f2d9aa15ac10ac6b785b336526c7b4fb3e89fe7b005cd

Observation 5bf1adb0-6035-4c2f-b6ac-d80740102358 · outbound

This paper cites Learning with hypergraphs: Clustering, classification, and embedding.Advances in neural information processing systems, 19, 2006.

Statistical Limits for Finite-Rank Tensor Estimation Learning with hypergraphs: Clustering, classification, and embedding.Advances in neural information processing systems, 19, 2006

Reference 67

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:54:49.655105Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T05:54:49.402010Z digest=sha256:762ae284f561185c607d83654355acd62eb5497ff4c55b168e6749ee70162bc4

Pith citing papers

Observation 952dcb21-25f0-4577-978b-d3b5662ce5de · inbound

Free Energy Universality in Tensor Estimation via Generic Chaining cites this paper.

Free Energy Universality in Tensor Estimation via Generic Chaining Statistical Limits for Finite-Rank Tensor Estimation

Reference 18

Resolution
verified exact
arxiv_id, observed 2026-06-28T23:52:49.350138Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-06-28T23:51:24.791424Z digest=sha256:791fbb4d16c72e94d19567f86e238911881f6f7ddc4deaea4d6c0388844c6d2b