Paper Citation Record · LEDGER

Revisit CP Tensor Decomposition: Statistical Optimality and Fast Convergence

As of 10 August 2026, this Paper Citation Record lists 13 of 13 outbound references and 6 inbound Pith citation observations for arXiv:2505.23046.

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

pith.paper-citation-record.v1
2505.23046 v1

Coverage vector

measured 13 of 13 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T12:59:58.808508Z

measured 19 of 19 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-10T06:31:04.303077+00:00

measured 6 of 6 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-06T23:53:11.279977Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-06-30T00:04:06.429883Z

Reference resolution

13 of 13 outbound references displayed

verified exact0
verified fuzzy5
unresolved8
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation fb62b5bd-a699-4a70-bbe6-7c42f607a698 · outbound

This paper cites an unresolved cited work.

Revisit CP Tensor Decomposition: Statistical Optimality and Fast Convergence Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:00:00.677662Z

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 fa0e374d-2097-4ecf-9843-55faea7ba76f · outbound

This paper cites an unresolved cited work.

Revisit CP Tensor Decomposition: Statistical Optimality and Fast Convergence Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:00:00.881469Z

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 86c96784-f404-4f8d-9724-93fba8348745 · outbound

This paper cites an unresolved cited work.

Revisit CP Tensor Decomposition: Statistical Optimality and Fast Convergence Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:00:00.258565Z

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 644153f6-43d2-4688-b5b7-a1a7afa98be8 · outbound

This paper cites B Additional Notations We denote Op,r := U ∈ Rp×r : U ⊤U = I as the set of all p-by-r semi-orthonormal matrices, i.e., matrices with orthonormal columns.

Revisit CP Tensor Decomposition: Statistical Optimality and Fast Convergence B Additional Notations We denote Op,r := U ∈ Rp×r : U ⊤U = I as the set of all p-by-r semi-orthonormal matrices, i.e., matrices with orthonormal columns

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:00:01.129134Z

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 4e86f55b-2691-440b-b5a3-df1624bf22f9 · outbound

This paper cites an unresolved cited work.

Revisit CP Tensor Decomposition: Statistical Optimality and Fast Convergence Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:00:00.472255Z

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 e0bf23b8-bac1-4e76-9727-a539f8aa638d · outbound

This paper cites (67) where C and c are absolute constants.

Revisit CP Tensor Decomposition: Statistical Optimality and Fast Convergence (67) where C and c are absolute constants

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:00:00.100059Z

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 be6ad1d8-be3b-4b99-9d4e-148a1bab4e50 · outbound

This paper cites If εt ≤ 3ϵ∗, then we are done.

Revisit CP Tensor Decomposition: Statistical Optimality and Fast Convergence If εt ≤ 3ϵ∗, then we are done

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:59:59.883713Z

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 21aac383-2298-4f8e-a15c-6f7629fc7384 · outbound

This paper cites an unresolved cited work.

Revisit CP Tensor Decomposition: Statistical Optimality and Fast Convergence Unresolved cited work

Reference 8

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:59:59.687701Z

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 5bd97106-9217-4bb8-839f-f23a5b2395fa · outbound

This paper cites an unresolved cited work.

Revisit CP Tensor Decomposition: Statistical Optimality and Fast Convergence Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:59:59.501499Z

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 f2344424-8cc2-4b0d-99ff-7fbe6b44705c · outbound

This paper cites Let’s assume σ = 1 without loss of generality.

Revisit CP Tensor Decomposition: Statistical Optimality and Fast Convergence Let’s assume σ = 1 without loss of generality

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:59:59.340716Z

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 032c22c5-a045-4a0f-ae3f-22f1a7126720 · outbound

This paper cites an unresolved cited work.

Revisit CP Tensor Decomposition: Statistical Optimality and Fast Convergence Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:59:59.206342Z

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 8ba782ce-08d1-42a5-844a-00eff87f88e1 · outbound

This paper cites an unresolved cited work.

Revisit CP Tensor Decomposition: Statistical Optimality and Fast Convergence Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:59:59.048904Z

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 e93705af-8610-4d21-a1f8-69bb7fb56a62 · outbound

This paper cites Thus, we can let [ x, X] = V1 = OΣA1V ⊤ A1 and we will have κ = κ(V1) = κ(A1), the condition number of A1.

Revisit CP Tensor Decomposition: Statistical Optimality and Fast Convergence Thus, we can let [ x, X] = V1 = OΣA1V ⊤ A1 and we will have κ = κ(V1) = κ(A1), the condition number of A1

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:59:58.947789Z

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.

Pith citing papers

Observation 3760b808-239f-4f9c-a581-ab1ad4d0a31a · inbound

A Scalable Factorization Approach for High-Order Structured Tensor Recovery cites this paper.

A Scalable Factorization Approach for High-Order Structured Tensor Recovery Revisit CP Tensor Decomposition: Statistical Optimality and Fast Convergence

Reference 40

Resolution: unresolved; no resolver link, observed 2026-08-06T23:53:11.279977Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 62080924-04d2-4f0f-8d9e-2032295edb38 · inbound

A functional tensor model for dynamic multilayer networks with common invariant subspaces and the RKHS estimation cites this paper.

A functional tensor model for dynamic multilayer networks with common invariant subspaces and the RKHS estimation Revisit CP Tensor Decomposition: Statistical Optimality and Fast Convergence

Reference 9

Resolution: verified exact; arxiv_id, observed 2026-05-18T18:31:44.045719Z

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 4d641f14-1319-4787-ada9-bc5fb871c4da · inbound

A functional tensor model for dynamic multilayer networks with common invariant subspaces and the RKHS estimation cites this paper.

A functional tensor model for dynamic multilayer networks with common invariant subspaces and the RKHS estimation Revisit CP Tensor Decomposition: Statistical Optimality and Fast Convergence

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-05T05:35:15.163797Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4dc0f043-3cff-42b6-a9df-2ad67c7a3741 · inbound

Detection Is Harder Than Estimation in Certain Regimes: Inference for Moment and Cumulant Tensors cites this paper.

Detection Is Harder Than Estimation in Certain Regimes: Inference for Moment and Cumulant Tensors Revisit CP Tensor Decomposition: Statistical Optimality and Fast Convergence

Reference 60

Resolution: verified exact; arxiv_id, observed 2026-05-14T23:33:16.424468Z

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 6a84bc58-a91b-4fee-a0fb-d4694e9ddb54 · inbound

Mild Over-Parameterization Benefits Asymmetric Tensor PCA cites this paper.

Mild Over-Parameterization Benefits Asymmetric Tensor PCA Revisit CP Tensor Decomposition: Statistical Optimality and Fast Convergence

Reference 5

Resolution: verified exact; arxiv_id, observed 2026-05-11T09:16:03.094038Z

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 e8880300-721d-4fac-902e-fb2b9838bbba · inbound

Optimal Estimation of Discrete Multiview Distributions under Heteroskedastic Multinomial Sampling cites this paper.

Optimal Estimation of Discrete Multiview Distributions under Heteroskedastic Multinomial Sampling Revisit CP Tensor Decomposition: Statistical Optimality and Fast Convergence

Reference 1

Resolution: metadata mismatch; arxiv_id, observed 2026-06-30T00:04:06.431336Z

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.