Paper Citation Record · LEDGER

Almost-Optimal Local-Search Methods for Sparse Tensor PCA

As of 17 August 2026, this Paper Citation Record lists 40 of 40 outbound references and 2 inbound Pith citation observations for arXiv:2506.09959.

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

pith.paper-citation-record.v1
2506.09959 v1

Coverage vector

measured 40 of 40 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T04:48:04.292455Z

measured 42 of 42 standing notices

One-hop event checks from named stored sources.

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measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-07T04:24:26.117470Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-06-29T00:02:49.575430Z

Reference resolution

40 of 40 outbound references displayed

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External citation measurements

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Outbound references

Observation 0c076d70-1c52-4be9-bf28-9f57b2742ebc · outbound

This paper cites Handbook of Mathematical Functions, With Formulas, Graphs, and Mathematical Tables,.

Almost-Optimal Local-Search Methods for Sparse Tensor PCA Handbook of Mathematical Functions, With Formulas, Graphs, and Mathematical Tables,

Reference 1

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Observation 8d542153-ae22-47a7-97a4-3339cd9cc9d0 · outbound

This paper cites Homotopy analysis for tensor pca.

Almost-Optimal Local-Search Methods for Sparse Tensor PCA Homotopy analysis for tensor pca

Reference 2

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Observation bf96daca-c58a-4b1a-84ab-41043700ece1 · outbound

This paper cites Algorithmic thresholds for tensor pca.

Almost-Optimal Local-Search Methods for Sparse Tensor PCA Algorithmic thresholds for tensor pca

Reference 3

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Observation a27ae111-fdd3-41dc-a0f9-6712c1981363 · outbound

This paper cites High-dimensional analysis of semidefinite relaxations for sparse principal components.

Almost-Optimal Local-Search Methods for Sparse Tensor PCA High-dimensional analysis of semidefinite relaxations for sparse principal components

Reference 4

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Observation 991f177c-8d8f-4537-86af-64c0e6effefb · outbound

This paper cites Free energy wells and overlap gap property in sparse pca.

Almost-Optimal Local-Search Methods for Sparse Tensor PCA Free energy wells and overlap gap property in sparse pca

Reference 5

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Observation 44195c0c-d442-449d-b412-6076371a5e26 · outbound

This paper cites Reducibility and computational lower bounds for problems with planted sparse structure.

Almost-Optimal Local-Search Methods for Sparse Tensor PCA Reducibility and computational lower bounds for problems with planted sparse structure

Reference 6

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Observation 61b71223-06b7-46ea-8d4d-e78f7521a263 · outbound

This paper cites Concentration Inequalities: A Nonasymptotic Theory of Independence.

Almost-Optimal Local-Search Methods for Sparse Tensor PCA Concentration Inequalities: A Nonasymptotic Theory of Independence

Reference 7

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Observation a024e45a-3a84-467f-a0ec-69f87fe51c55 · outbound

This paper cites Tony Cai, Tengyuan Liang, and Alexander Rakhlin.

Almost-Optimal Local-Search Methods for Sparse Tensor PCA Tony Cai, Tengyuan Liang, and Alexander Rakhlin

Reference 8

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This paper cites Almost-linear planted cliques elude the metropolis process.

Almost-Optimal Local-Search Methods for Sparse Tensor PCA Almost-linear planted cliques elude the metropolis process

Reference 9

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This paper cites On the low-temperature mcmc threshold: the cases of sparse tensor pca, sparse regression, and a geometric rule, 2024.

Almost-Optimal Local-Search Methods for Sparse Tensor PCA On the low-temperature mcmc threshold: the cases of sparse tensor pca, sparse regression, and a geometric rule, 2024

Reference 10

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Observation 9fb5382b-31da-4d60-9546-ea1021dadcbb · outbound

This paper cites The power of two matrices in spectral algorithms for community recovery.

Almost-Optimal Local-Search Methods for Sparse Tensor PCA The power of two matrices in spectral algorithms for community recovery

Reference 11

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This paper cites Statistical query lower bounds for robust estimation of high-dimensional gaussians and gaussian mixtures.

Almost-Optimal Local-Search Methods for Sparse Tensor PCA Statistical query lower bounds for robust estimation of high-dimensional gaussians and gaussian mixtures

Reference 12

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This paper cites Message-passing algorithms for compressed sensing.

Almost-Optimal Local-Search Methods for Sparse Tensor PCA Message-passing algorithms for compressed sensing

Reference 13

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This paper cites Statistical algorithms and a lower bound for detecting planted cliques.

Almost-Optimal Local-Search Methods for Sparse Tensor PCA Statistical algorithms and a lower bound for detecting planted cliques

Reference 14

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Observation 7bcae25d-f962-4144-b9b9-b1f48e4b8830 · outbound

This paper cites Finding hidden cliques in linear time.

Almost-Optimal Local-Search Methods for Sparse Tensor PCA Finding hidden cliques in linear time

Reference 15

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Observation daba2f04-73a0-4ac6-a94a-de0eea4aa00a · outbound

This paper cites A unifying tutorial on approximate message passing.

Almost-Optimal Local-Search Methods for Sparse Tensor PCA A unifying tutorial on approximate message passing

Reference 16

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This paper cites Finding planted cliques using markov chain monte carlo, 2023.

Almost-Optimal Local-Search Methods for Sparse Tensor PCA Finding planted cliques using markov chain monte carlo, 2023

Reference 17

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Observation 481e0e2b-1344-4350-942e-57fc8161b507 · outbound

This paper cites Probability and random processes.

Almost-Optimal Local-Search Methods for Sparse Tensor PCA Probability and random processes

Reference 18

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Observation a7f0dc02-610f-43f2-9bab-06777c69485d · outbound

This paper cites Sparse high-dimensional linear regression.

Almost-Optimal Local-Search Methods for Sparse Tensor PCA Sparse high-dimensional linear regression

Reference 19

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This paper cites The landscape of the planted clique problem: Dense subgraphs and the overlap gap property.

Almost-Optimal Local-Search Methods for Sparse Tensor PCA The landscape of the planted clique problem: Dense subgraphs and the overlap gap property

Reference 20

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Observation d5a02375-a263-4c18-80cf-1d01ee25d02f · outbound

This paper cites Hardy, J.E.

Almost-Optimal Local-Search Methods for Sparse Tensor PCA Hardy, J.E

Reference 21

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This paper cites A robust spectral algorithm for overcomplete tensor decomposition.

Almost-Optimal Local-Search Methods for Sparse Tensor PCA A robust spectral algorithm for overcomplete tensor decomposition

Reference 22

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This paper cites Large cliques elude the metropolis process.

Almost-Optimal Local-Search Methods for Sparse Tensor PCA Large cliques elude the metropolis process

Reference 23

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This paper cites Johnson, Samuel Kotz, and Narayanaswamy Balakrishnan.

Almost-Optimal Local-Search Methods for Sparse Tensor PCA Johnson, Samuel Kotz, and Narayanaswamy Balakrishnan

Reference 24

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This paper cites On consistency and sparsity for principal components analysis in high dimensions.

Almost-Optimal Local-Search Methods for Sparse Tensor PCA On consistency and sparsity for principal components analysis in high dimensions

Reference 25

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This paper cites Notes on computational hardness of hypothesis testing: Predictions using the low-degree likelihood ratio.

Almost-Optimal Local-Search Methods for Sparse Tensor PCA Notes on computational hardness of hypothesis testing: Predictions using the low-degree likelihood ratio

Reference 26

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Observation cd50f395-efaf-47e6-ad32-49a468b489bd · outbound

This paper cites Drift Analysis , pages 89--131.

Almost-Optimal Local-Search Methods for Sparse Tensor PCA Drift Analysis , pages 89--131

Reference 27

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Almost-Optimal Local-Search Methods for Sparse Tensor PCA Unresolved cited work

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This paper cites Markov chains and mixing times , volume 107.

Almost-Optimal Local-Search Methods for Sparse Tensor PCA Markov chains and mixing times , volume 107

Reference 29

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Almost-Optimal Local-Search Methods for Sparse Tensor PCA Tensor clustering with planted structures: Statistical optimality and computational limits

Reference 30

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Almost-Optimal Local-Search Methods for Sparse Tensor PCA Randomized Algorithms

Reference 31

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This paper cites A statistical model for tensor pca.

Almost-Optimal Local-Search Methods for Sparse Tensor PCA A statistical model for tensor pca

Reference 32

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Almost-Optimal Local-Search Methods for Sparse Tensor PCA Unresolved cited work

Reference 33

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This paper cites The all-or-nothing phenomenon in sparse tensor pca.

Almost-Optimal Local-Search Methods for Sparse Tensor PCA The all-or-nothing phenomenon in sparse tensor pca

Reference 34

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Almost-Optimal Local-Search Methods for Sparse Tensor PCA Unresolved cited work

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This paper cites Wein, and Afonso S.

Almost-Optimal Local-Search Methods for Sparse Tensor PCA Wein, and Afonso S

Reference 36

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Almost-Optimal Local-Search Methods for Sparse Tensor PCA Hanson-Wright inequality and sub-gaussian concentration

Reference 37

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This paper cites L \'e vy Processes and Infinitely Divisible Distributions , volume 68 of Cambridge Studies in Advanced Mathematics.

Almost-Optimal Local-Search Methods for Sparse Tensor PCA L \'e vy Processes and Infinitely Divisible Distributions , volume 68 of Cambridge Studies in Advanced Mathematics

Reference 38

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This paper cites Computational barriers to estimation from low-degree polynomials.

Almost-Optimal Local-Search Methods for Sparse Tensor PCA Computational barriers to estimation from low-degree polynomials

Reference 39

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This paper cites Wainwright, and Michael I.

Almost-Optimal Local-Search Methods for Sparse Tensor PCA Wainwright, and Michael I

Reference 40

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Pith citing papers

Observation 4c286b12-9ef2-4c83-9a0d-a26a217b6af0 · inbound

Computational Complexity of Statistics: New Insights from Low-Degree Polynomials cites this paper.

Computational Complexity of Statistics: New Insights from Low-Degree Polynomials Almost-Optimal Local-Search Methods for Sparse Tensor PCA

Reference 34

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Low-degree estimation thresholds in planted hypergraphs and tensor PCA cites this paper.

Low-degree estimation thresholds in planted hypergraphs and tensor PCA Almost-Optimal Local-Search Methods for Sparse Tensor PCA

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