Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-14T06:19:30.100723Z
Paper Citation Record · LEDGER
Statistical Inferences of Linear Forms for Noisy Matrix Completion
As of 16 August 2026, this Paper Citation Record lists 17 of 17 outbound references and 0 inbound Pith citation observations for arXiv:1909.00116.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
Reference resolution
17 of 17 outbound references displayed
- verified exact6
- verified fuzzy6
- unresolved5
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation c7981a38-261a-4aa4-8e41-12cd6974739c · outbound
This paper cites Therefore, under the event of Theorem 4, ⏐⏐⟨ (ˆΘiˆΘT i − ΘΘT)A(ˆΘiˆΘT i − ΘΘT),~T ⟩⏐⏐ ≤C2κ0µ2 max‖T‖𝓁1σξ √ r2d1 logd1 n · σξ λr √ d2 1d2 logd1 n.
Statistical Inferences of Linear Forms for Noisy Matrix Completion Therefore, under the event of Theorem 4, ⏐⏐⟨ (ˆΘiˆΘT i − ΘΘT)A(ˆΘiˆΘT i − ΘΘT),~T ⟩⏐⏐ ≤C2κ0µ2 max‖T‖𝓁1σξ √ r2d1 logd1 n · σξ λr √ d2 1d2 logd1 n
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T06:19:30.343550Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation d9aa1be0-95b2-4d76-9f32-9ec8da27d8e0 · outbound
This paper cites Nonconvex Rectangular Matrix Completion via Gradient Descent without $\ell_{2,\infty}$ Regularization.
Statistical Inferences of Linear Forms for Noisy Matrix Completion Nonconvex Rectangular Matrix Completion via Gradient Descent without $\ell_{2,\infty}$ Regularization
Reference 4
- Resolution
- verified exact
- local_arxiv, observed 2026-08-14T06:19:30.237449Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation adc1c449-0b26-4ca9-9cf7-4056042f2bc5 · outbound
This paper cites A Unified Computational and Statistical Framework for Nonconvex Low-Rank Matrix Estimation.
Statistical Inferences of Linear Forms for Noisy Matrix Completion A Unified Computational and Statistical Framework for Nonconvex Low-Rank Matrix Estimation
Reference 9
- Resolution
- verified exact
- local_arxiv, observed 2026-08-14T06:19:30.174505Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation f4bce6b7-787d-441a-aa7a-5fb81e70ec22 · outbound
This paper cites an unresolved cited work.
Statistical Inferences of Linear Forms for Noisy Matrix Completion Unresolved cited work
Reference 10
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T06:19:30.298147Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation fbe5beca-3a46-4257-95b6-cf9bc85f3a96 · outbound
This paper cites Convergence Analysis for Rectangular Matrix Completion Using Burer-Monteiro Factorization and Gradient Descent.
Statistical Inferences of Linear Forms for Noisy Matrix Completion Convergence Analysis for Rectangular Matrix Completion Using Burer-Monteiro Factorization and Gradient Descent
Reference 11
- Resolution
- unresolved
- no resolver link, observed 2026-08-14T06:19:30.073261Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 9f117b13-0bb7-4a66-920a-58b18229b2b6 · outbound
This paper cites Next, we bound the third moment of ξ (⟨ U⊥U T ⊥XVV T,T ⟩ + ⟨ UUXV⊥V T ⊥,T ⟩).
Statistical Inferences of Linear Forms for Noisy Matrix Completion Next, we bound the third moment of ξ (⟨ U⊥U T ⊥XVV T,T ⟩ + ⟨ UUXV⊥V T ⊥,T ⟩)
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T06:19:30.358841Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 1872e9a6-9112-47a4-b618-249186f01cda · outbound
This paper cites an unresolved cited work.
Statistical Inferences of Linear Forms for Noisy Matrix Completion Unresolved cited work
Reference 15
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T06:19:30.328692Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 0d78cd70-e61f-40b0-a6dd-1340f65f1bdf · outbound
This paper cites an unresolved cited work.
Statistical Inferences of Linear Forms for Noisy Matrix Completion Unresolved cited work
Reference 16
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T06:19:30.313769Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 97355672-3a56-4ec1-8090-af59f97446a7 · outbound
This paper cites A singular value thresholding algo- rithm for matrix completion.
Statistical Inferences of Linear Forms for Noisy Matrix Completion A singular value thresholding algo- rithm for matrix completion
Reference 1941
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T06:19:30.414353Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 94daf9c2-bc88-4357-ae6d-b59387c9a1e8 · outbound
This paper cites Normal Approximation and Confidence Region of Singular Subspaces.
Statistical Inferences of Linear Forms for Noisy Matrix Completion Normal Approximation and Confidence Region of Singular Subspaces
Reference 1972
- Resolution
- unresolved
- no resolver link, observed 2026-08-14T06:19:30.068856Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 2dad2eed-02b8-4f13-bdcb-e0213eb44036 · outbound
This paper cites A moment inequality with an application to the central limit theorem.
Statistical Inferences of Linear Forms for Noisy Matrix Completion A moment inequality with an application to the central limit theorem
Reference 1998
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T06:19:30.400796Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation d377d87a-9bc2-4e31-967c-1985ff85b6ff · outbound
This paper cites The Power of Convex Relaxation: Near-Optimal Matrix Completion.
Statistical Inferences of Linear Forms for Noisy Matrix Completion The Power of Convex Relaxation: Near-Optimal Matrix Completion
Reference 2009
- Resolution
- verified exact
- local_arxiv, observed 2026-08-14T06:19:30.282194Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 45a26c34-2697-4706-90cf-e761e88c2671 · outbound
This paper cites Implicit Regularization in Nonconvex Statistical Estimation: Gradient Descent Converges Linearly for Phase Retrieval, Matrix Completion, and Blind Deconvolution.
Statistical Inferences of Linear Forms for Noisy Matrix Completion Implicit Regularization in Nonconvex Statistical Estimation: Gradient Descent Converges Linearly for Phase Retrieval, Matrix Completion, and Blind Deconvolution
Reference 2011
- Resolution
- verified exact
- local_arxiv, observed 2026-08-14T06:19:30.195545Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 5e3f64b1-7dd2-4135-85b2-fbc2b4cdffcd · outbound
This paper cites Matrix completion from a few entries.
Statistical Inferences of Linear Forms for Noisy Matrix Completion Matrix completion from a few entries
Reference 2014
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T06:19:30.386764Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation e03ce97c-d97a-4255-91e3-fa755a10f233 · outbound
This paper cites Noisy Matrix Completion: Understanding Statistical Guarantees for Convex Relaxation via Nonconvex Optimization.
Statistical Inferences of Linear Forms for Noisy Matrix Completion Noisy Matrix Completion: Understanding Statistical Guarantees for Convex Relaxation via Nonconvex Optimization
Reference 2015
- Resolution
- verified exact
- local_arxiv, observed 2026-08-14T06:19:30.215621Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 7886cfef-878c-431c-871b-04961b0ee9e8 · outbound
This paper cites Recall that ˆZ (1) 1 is defined by ˆZ (1) 1 = d1d2 n0 n∑ i=n0+1 ξiXi where{(ξi,Xi)}n i=n0+1 are i.i.d.
Statistical Inferences of Linear Forms for Noisy Matrix Completion Recall that ˆZ (1) 1 is defined by ˆZ (1) 1 = d1d2 n0 n∑ i=n0+1 ξiXi where{(ξi,Xi)}n i=n0+1 are i.i.d
Reference 2016
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T06:19:30.373459Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation cfdd31d9-8712-4433-b9ea-73a4459db8da · outbound
This paper cites Uncertainty Quantification for Matrix Compressed Sensing and Quantum Tomography Problems.
Statistical Inferences of Linear Forms for Noisy Matrix Completion Uncertainty Quantification for Matrix Compressed Sensing and Quantum Tomography Problems
Reference 2018
- Resolution
- verified exact
- local_arxiv, observed 2026-08-14T06:19:30.259225Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Pith citing papers
No inbound Pith citation observations are available.