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Paper Citation Record · LEDGER

Efficient Tensor Decomposition via Moment Matrix Extension

As of 8 August 2026, this Paper Citation Record lists 88 of 88 outbound references and 2 inbound Pith citation observations for arXiv:2506.22564.

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

pith.paper-citation-record.v1
2506.22564 v1

Coverage vector

measured 88 of 88 reference resolution

Typed states for the displayed outbound observations.

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measured 90 of 90 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 2026-05-20T17:20:29.589792Z

measured 1 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-08-05T02:28:24.338817Z

Reference resolution

88 of 88 outbound references displayed

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External citation measurements

0
arxiv_reference, observed 2026-08-05T02:28:24.338817Z

Outbound references

Observation 17bd5215-2db5-461d-a329-86ecd05eeda6 · outbound

This paper cites Polynomial interpolation in several vari- ables.

Efficient Tensor Decomposition via Moment Matrix Extension Polynomial interpolation in several vari- ables

Reference 1

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Observation b1c5c84b-bcdc-4124-9e04-ea0011f50a82 · outbound

This paper cites Identifiability of param- eters in latent structure models with many observed variables.

Efficient Tensor Decomposition via Moment Matrix Extension Identifiability of param- eters in latent structure models with many observed variables

Reference 2

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This paper cites The Hilbert scheme of points and its link with border basis.

Efficient Tensor Decomposition via Moment Matrix Extension The Hilbert scheme of points and its link with border basis

Reference 3

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This paper cites Tensor decompositions for learning latent variable models.

Efficient Tensor Decomposition via Moment Matrix Extension Tensor decompositions for learning latent variable models

Reference 4

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Observation 34685a24-ea7a-4c0f-89da-0367a57c906c · outbound

This paper cites Waring decompositions of special ternary forms with different Hilbert functions.

Efficient Tensor Decomposition via Moment Matrix Extension Waring decompositions of special ternary forms with different Hilbert functions

Reference 5

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This paper cites Identifiability beyond Kruskal’s bound for symmetric tensors of degree 4.

Efficient Tensor Decomposition via Moment Matrix Extension Identifiability beyond Kruskal’s bound for symmetric tensors of degree 4

Reference 6

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Observation 3a6cff26-adc3-400d-ae58-19ad3fd9d983 · outbound

This paper cites Spectral decomposition of a 4th-order covariance tensor: Applications to diffusion tensor MRI.

Efficient Tensor Decomposition via Moment Matrix Extension Spectral decomposition of a 4th-order covariance tensor: Applications to diffusion tensor MRI

Reference 7

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Observation 523ea7d3-dd23-4956-a5e3-be6dfb4e9f34 · outbound

This paper cites Pencil-based algorithms for tensor rank decomposition are not stable.

Efficient Tensor Decomposition via Moment Matrix Extension Pencil-based algorithms for tensor rank decomposition are not stable

Reference 8

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This paper cites Tensor decomposition and homotopy continuation.

Efficient Tensor Decomposition via Moment Matrix Extension Tensor decomposition and homotopy continuation

Reference 9

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This paper cites Waring, tangential and cactus decompo- sitions.

Efficient Tensor Decomposition via Moment Matrix Extension Waring, tangential and cactus decompo- sitions

Reference 10

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Observation 829f4818-9f1e-4a5a-94fa-a70030b7ad9b · outbound

This paper cites Symmet- ric tensor decomposition.

Efficient Tensor Decomposition via Moment Matrix Extension Symmet- ric tensor decomposition

Reference 11

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This paper cites Waring decompositions of monomials.

Efficient Tensor Decomposition via Moment Matrix Extension Waring decompositions of monomials

Reference 12

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This paper cites Analysis of the Stochastic Alternating Least Squares Method for the Decomposition of Random Tensors.

Efficient Tensor Decomposition via Moment Matrix Extension Analysis of the Stochastic Alternating Least Squares Method for the Decomposition of Random Tensors

Reference 13

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This paper cites Blind signal separation: Statistical principles.

Efficient Tensor Decomposition via Moment Matrix Extension Blind signal separation: Statistical principles

Reference 14

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This paper cites Super-symmetric decomposition of the fourth-order cumulant tensor. Blind identification of more sources than sensors.

Efficient Tensor Decomposition via Moment Matrix Extension Super-symmetric decomposition of the fourth-order cumulant tensor. Blind identification of more sources than sensors

Reference 15

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Efficient Tensor Decomposition via Moment Matrix Extension Reducing the number of variables of a polynomial

Reference 16

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Efficient Tensor Decomposition via Moment Matrix Extension Waring loci and the Strassen conjecture

Reference 17

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This paper cites Analysis of individual differences in multidi- mensional scaling via anN-way generalization of “Eckart-Young.

Efficient Tensor Decomposition via Moment Matrix Extension Analysis of individual differences in multidi- mensional scaling via anN-way generalization of “Eckart-Young

Reference 18

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Efficient Tensor Decomposition via Moment Matrix Extension Optimal separation of independent narrow-band sources: Concept and performance

Reference 19

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This paper cites An Algorithm For Generic and Low-Rank Specific Identifiability of Complex Tensors.

Efficient Tensor Decomposition via Moment Matrix Extension An Algorithm For Generic and Low-Rank Specific Identifiability of Complex Tensors

Reference 20

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Efficient Tensor Decomposition via Moment Matrix Extension Effective criteria for specific identifiability of tensors and forms

Reference 21

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Efficient Tensor Decomposition via Moment Matrix Extension On generic identifi- ability of symmetric tensors of subgeneric rank

Reference 22

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Efficient Tensor Decomposition via Moment Matrix Extension On the rank of a binary form

Reference 23

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Efficient Tensor Decomposition via Moment Matrix Extension Symmetric Ten- sors and Symmetric Tensor Rank

Reference 24

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Efficient Tensor Decomposition via Moment Matrix Extension Improving the Threshold for Finding Rank-1 Matrices in a Subspace

Reference 25

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Efficient Tensor Decomposition via Moment Matrix Extension Tensor-based techniques for the blind separation of DS–CDMA signals

Reference 26

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Efficient Tensor Decomposition via Moment Matrix Extension Fourth-order cumulant-based blind identification of underdetermined mixtures

Reference 27

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Efficient Tensor Decomposition via Moment Matrix Extension Uncertainty principles and ideal atomic decom- position

Reference 29

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Efficient Tensor Decomposition via Moment Matrix Extension The Geometry of Syzygies

Reference 30

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Efficient Tensor Decomposition via Moment Matrix Extension Introduction à la Résolution des Systèmes Polynomiaux

Reference 31

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Efficient Tensor Decomposition via Moment Matrix Extension Nemo/Hecke: Computer algebra and number theory packages for the Julia programming language

Reference 32

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Efficient Tensor Decomposition via Moment Matrix Extension The Effective Countable Generalized Moment Problem

Reference 33

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Efficient Tensor Decomposition via Moment Matrix Extension Learning mixtures of Gaussians in high dimensions [extended abstract]

Reference 34

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Efficient Tensor Decomposition via Moment Matrix Extension Decomposing overcomplete 3rd order tensors using sum-of- squares algorithms

Reference 35

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Efficient Tensor Decomposition via Moment Matrix Extension PARAFAC: An “explanatory

Reference 36

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Efficient Tensor Decomposition via Moment Matrix Extension Most tensor problems are NP-hard

Reference 37

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Efficient Tensor Decomposition via Moment Matrix Extension A robust spectral algorithm for overcomplete tensor decomposition

Reference 38

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This paper cites Fast spectral algorithms from sum-of-squares proofs: Tensor decomposition and planted sparse vec- tors.

Efficient Tensor Decomposition via Moment Matrix Extension Fast spectral algorithms from sum-of-squares proofs: Tensor decomposition and planted sparse vec- tors

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This paper cites Learning mixtures of spherical Gaussians: Moment methods and spectral decompositions.

Efficient Tensor Decomposition via Moment Matrix Extension Learning mixtures of spherical Gaussians: Moment methods and spectral decompositions

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This paper cites Independent Component Analy- sis.

Efficient Tensor Decomposition via Moment Matrix Extension Independent Component Analy- sis

Reference 41

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Reference 42

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This paper cites Computing linear sections of varieties: Quantum entanglement, tensor decompositions and be- yond.

Efficient Tensor Decomposition via Moment Matrix Extension Computing linear sections of varieties: Quantum entanglement, tensor decompositions and be- yond

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This paper cites Landscape analysis of an improved power method for tensor decomposition.

Efficient Tensor Decomposition via Moment Matrix Extension Landscape analysis of an improved power method for tensor decomposition

Reference 44

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This paper cites Subspace power method for symmetric tensor decomposition.

Efficient Tensor Decomposition via Moment Matrix Extension Subspace power method for symmetric tensor decomposition

Reference 45

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Efficient Tensor Decomposition via Moment Matrix Extension An efficient uniqueness theorem for overcomplete tensor decomposi- tion

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Reference 47

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This paper cites On the uniqueness and computation of commuting extensions.

Efficient Tensor Decomposition via Moment Matrix Extension On the uniqueness and computation of commuting extensions

Reference 48

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This paper cites Tensor decompositions and applications.

Efficient Tensor Decomposition via Moment Matrix Extension Tensor decompositions and applications

Reference 49

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This paper cites Numerical optimization for symmetric tensor decomposition.

Efficient Tensor Decomposition via Moment Matrix Extension Numerical optimization for symmetric tensor decomposition

Reference 50

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Efficient Tensor Decomposition via Moment Matrix Extension Overcomplete tensor decomposition via Koszul-Young flattenings

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Efficient Tensor Decomposition via Moment Matrix Extension Shifted power method for computing ten- sor eigenpairs

Reference 52

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Reference 53

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This paper cites Three-way arrays: Rank and uniqueness of trilinear decomposi- tions, with application to arithmetic complexity and statistics.

Efficient Tensor Decomposition via Moment Matrix Extension Three-way arrays: Rank and uniqueness of trilinear decomposi- tions, with application to arithmetic complexity and statistics

Reference 54

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This paper cites A decomposition for three-way arrays.

Efficient Tensor Decomposition via Moment Matrix Extension A decomposition for three-way arrays

Reference 55

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Efficient Tensor Decomposition via Moment Matrix Extension Equations for secant varieties of Veronese and other varieties

Reference 56

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Efficient Tensor Decomposition via Moment Matrix Extension Polynomial-time tensor decompositions with sum-of-squares

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Efficient Tensor Decomposition via Moment Matrix Extension On minimal decompositions of low rank symmetric tensors

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This paper cites A generalization of Kruskal’s theorem on tensor decomposition.

Efficient Tensor Decomposition via Moment Matrix Extension A generalization of Kruskal’s theorem on tensor decomposition

Reference 59

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This paper cites The A-truncated K-moment problem.

Efficient Tensor Decomposition via Moment Matrix Extension The A-truncated K-moment problem

Reference 60

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This paper cites EigenvectorsoftensorsandalgorithmsforWaring decomposition.

Efficient Tensor Decomposition via Moment Matrix Extension EigenvectorsoftensorsandalgorithmsforWaring decomposition

Reference 61

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This paper cites Generatingpolynomialsandsymmetrictensordecompositions.

Efficient Tensor Decomposition via Moment Matrix Extension Generatingpolynomialsandsymmetrictensordecompositions

Reference 62

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Observation e62ea80c-a6b5-4b5e-a339-94f83cdd0545 · outbound

This paper cites Overcomplete independent component analysis via SDP.

Efficient Tensor Decomposition via Moment Matrix Extension Overcomplete independent component analysis via SDP

Reference 63

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This paper cites Varieties of sums of powers.

Efficient Tensor Decomposition via Moment Matrix Extension Varieties of sums of powers

Reference 64

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This paper cites Decomposing tensors via rank-one approximations.

Efficient Tensor Decomposition via Moment Matrix Extension Decomposing tensors via rank-one approximations

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Observation c674f70d-992e-469f-9c86-06f9b086edfa · outbound

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Efficient Tensor Decomposition via Moment Matrix Extension Tensor Moments of Gaussian Mixture Models: Theory and Applications

Reference 66

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This paper cites Explicit projective embeddings of stan- dard opens of the Hilbert scheme of points.

Efficient Tensor Decomposition via Moment Matrix Extension Explicit projective embeddings of stan- dard opens of the Hilbert scheme of points

Reference 67

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This paper cites Sur une extension d’un théorème de Clebsch relatif aux courbes du quatrième degré.

Efficient Tensor Decomposition via Moment Matrix Extension Sur une extension d’un théorème de Clebsch relatif aux courbes du quatrième degré

Reference 68

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Observation 720de096-ca11-456b-84c2-b47e66e1b826 · outbound

This paper cites A normal form algorithm for tensor rank decomposition.

Efficient Tensor Decomposition via Moment Matrix Extension A normal form algorithm for tensor rank decomposition

Reference 69

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Observation 43746adb-6be9-4bc5-9d03-7186e9c4ace7 · outbound

This paper cites Blind PARAFAC receivers for DS-CDMA systems.

Efficient Tensor Decomposition via Moment Matrix Extension Blind PARAFAC receivers for DS-CDMA systems

Reference 70

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Observation ce40c781-300f-45a6-baac-3a6da1ff079b · outbound

This paper cites An analytical constant modulus algorithm.

Efficient Tensor Decomposition via Moment Matrix Extension An analytical constant modulus algorithm

Reference 71

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Observation 7aa78d98-a603-4684-b37a-6f47ca62a62c · outbound

This paper cites Moment estimation for nonparametric mixture models through implicit tensor decomposition.

Efficient Tensor Decomposition via Moment Matrix Extension Moment estimation for nonparametric mixture models through implicit tensor decomposition

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Observation b3956032-a5b0-47bc-99dd-5b30eb6d05d7 · outbound

This paper cites doi: 10.1145/3555369.

Efficient Tensor Decomposition via Moment Matrix Extension doi: 10.1145/3555369

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This paper cites On the Waring rank of binary forms.

Efficient Tensor Decomposition via Moment Matrix Extension On the Waring rank of binary forms

Reference 76

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Observation b7bf7d6a-762d-4f1d-98fc-12c7acb1cd59 · outbound

This paper cites Then B = {1, x1, x2, x2 1}.

Efficient Tensor Decomposition via Moment Matrix Extension Then B = {1, x1, x2, x2 1}

Reference 79

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Observation c6ae0c2f-9be8-4fda-9e0b-d932d482961d · outbound

This paper cites Then B = {1, x1, x2, x2 1, x1x2}.

Efficient Tensor Decomposition via Moment Matrix Extension Then B = {1, x1, x2, x2 1, x1x2}

Reference 80

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This paper cites There are three moment variables Y = {x5 1, x4 1x2, x4 1x3}.

Efficient Tensor Decomposition via Moment Matrix Extension There are three moment variables Y = {x5 1, x4 1x2, x4 1x3}

Reference 81

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raw_fallback, observed 2026-08-06T22:14:27.801894Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 7527ee71-9a44-41be-9335-fac05e552eb7 · outbound

This paper cites an unresolved cited work.

Efficient Tensor Decomposition via Moment Matrix Extension Unresolved cited work

Reference 82

Resolution
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raw_fallback, observed 2026-08-06T22:14:27.724482Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 93b6ceb6-b98a-494c-a305-f62769c0156c · outbound

This paper cites an unresolved cited work.

Efficient Tensor Decomposition via Moment Matrix Extension Unresolved cited work

Reference 83

Resolution
unresolved
raw_fallback, observed 2026-08-06T22:14:27.662527Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation e3e9a194-41da-45ac-8ecb-e5e3aa2d5766 · outbound

This paper cites Proof of Lemma 4.15.By Lemma 4.13, forn ≥ 4 |E1| ≥ |Y |.

Efficient Tensor Decomposition via Moment Matrix Extension Proof of Lemma 4.15.By Lemma 4.13, forn ≥ 4 |E1| ≥ |Y |

Reference 84

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:14:27.586260Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 7530a655-ba6b-40b2-b91a-6dcb588af758 · outbound

This paper cites Take the dot product of this column with the row (x2 1xj, xkxℓ).

Efficient Tensor Decomposition via Moment Matrix Extension Take the dot product of this column with the row (x2 1xj, xkxℓ)

Reference 85

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:14:27.527184Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation bc55c833-724a-47f7-a603-53c42fa76626 · outbound

This paper cites an unresolved cited work.

Efficient Tensor Decomposition via Moment Matrix Extension Unresolved cited work

Reference 86

Resolution
unresolved
raw_fallback, observed 2026-08-06T22:14:27.349273Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 724797ca-8110-4110-bdd7-55dbdaf2493e · outbound

This paper cites Now assumej < k.

Efficient Tensor Decomposition via Moment Matrix Extension Now assumej < k

Reference 87

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:14:27.138741Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 3db69092-736c-4f7f-9488-948155e8471f · outbound

This paper cites Gx1xi−1 Gx1xi+1.

Efficient Tensor Decomposition via Moment Matrix Extension Gx1xi−1 Gx1xi+1

Reference 88

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:14:27.023353Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T22:14:20.977504Z digest=sha256:5ad809c3168d8f992de5b819c7425f4a3f7072f56baadc70f51ff006ee43be97

Observation a391514c-4d36-4dfa-88b7-ba0bddf75c70 · outbound

This paper cites But the difference of the latter two equations is exactly the first equation.

Efficient Tensor Decomposition via Moment Matrix Extension But the difference of the latter two equations is exactly the first equation

Reference 89

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T22:14:21.085557Z digest=sha256:4e47c51c35e0a628f6a5788a75ca9a700274a347582e7b6f45b0e9416876fea7

Observation cade5374-07e1-458a-9ebc-d4f1fb78a789 · outbound

This paper cites doi: 10.1016/j.jalgebra.2021.10.007.

Efficient Tensor Decomposition via Moment Matrix Extension doi: 10.1016/j.jalgebra.2021.10.007

Reference 276

Resolution
verified exact
doi, observed 2026-08-06T22:14:21.678503Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T22:14:19.716384Z digest=sha256:053fe83d02e458f4d2868a535783ff250a19b950aecd403d5e0aa23505c61efa

Observation b5c3b637-7d94-4473-8f7c-e73a599b1091 · outbound

This paper cites doi: 10.1137/0614071.

Efficient Tensor Decomposition via Moment Matrix Extension doi: 10.1137/0614071

Reference 1083

Resolution
verified exact
doi, observed 2026-08-06T22:14:22.528343Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation f16a1a41-63f7-490f-bf78-7db70a8fdd25 · outbound

This paper cites an unresolved cited work.

Efficient Tensor Decomposition via Moment Matrix Extension Unresolved cited work

Reference 1856

Resolution
verified exact
doi, observed 2026-08-06T22:14:22.945481Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T22:14:18.184971Z digest=sha256:00f53816668e962ea6b5d7300dcf95227392151777a061941e3c366e52ba946d

Observation 4642a50d-0f2d-47cc-a76a-f8b0b6c81935 · outbound

This paper cites an unresolved cited work.

Efficient Tensor Decomposition via Moment Matrix Extension Unresolved cited work

Reference 3383

Resolution
verified exact
doi, observed 2026-08-06T22:14:22.129474Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T22:14:19.212793Z digest=sha256:180b5bff94c02029ad06c2498e5919f17d117a85696e6c99b75f67f7ffc30f10

Pith citing papers

Observation 4b167be7-286c-4df5-9510-8b9827810c45 · inbound

Simplicial Regularizability of the Pseudo-Moment Cone and Carath\'eodory-Type Atomic Decomposition of Moment Matrices cites this paper.

Simplicial Regularizability of the Pseudo-Moment Cone and Carath\'eodory-Type Atomic Decomposition of Moment Matrices Efficient Tensor Decomposition via Moment Matrix Extension

Reference 31

Resolution
metadata mismatch
arxiv_id, observed 2026-05-11T03:55:54.691123Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-05-11T02:09:20.020980Z digest=sha256:ab2ce77606d96288b08a4005af304e03becffc108e04fe92c652fa5a30f80ccb

Observation 5e94a98d-4685-4250-8b61-11ff9a793bae · inbound

Copositive Matrices with Ordered Off-Diagonal Entries cites this paper.

Copositive Matrices with Ordered Off-Diagonal Entries Efficient Tensor Decomposition via Moment Matrix Extension

Reference 183

Resolution
verified exact
arxiv_id, observed 2026-05-20T17:23:36.335380Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-05-20T17:20:29.589792Z digest=sha256:256a7e661f37a67e347911db04f978e791318fdafaf43099668f18197d1c1559