Paper Citation Record · LEDGER

SoS Certificates for Sparse Singular Values and Their Applications: Robust Statistics, Subspace Distortion, and More

As of 22 August 2026, this Paper Citation Record lists 20 of 20 outbound references and 0 inbound Pith citation observations for arXiv:2412.21203.

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

pith.paper-citation-record.v1
2412.21203 v1

Coverage vector

measured 20 of 20 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T23:08:28.146129Z

measured 20 of 20 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-22T06:32:14.747728+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

20 of 20 outbound references displayed

verified exact0
verified fuzzy15
unresolved5
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malformed identifier0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation f988c773-3035-41e5-9c7b-0ee173ef71cf · outbound

This paper cites Graph Matrices: Norm Bounds and Applications.

SoS Certificates for Sparse Singular Values and Their Applications: Robust Statistics, Subspace Distortion, and More Graph Matrices: Norm Bounds and Applications

Reference 1

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4378c01a-1462-4ed2-bd73-afae4334d6de · outbound

This paper cites A remark on compressed sensing.

SoS Certificates for Sparse Singular Values and Their Applications: Robust Statistics, Subspace Distortion, and More A remark on compressed sensing

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:08:28.960517Z

Source-reported events for the cited work

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Observation e7959ba9-ddae-4428-9a86-e7426541b92a · outbound

This paper cites New positive semideﬁnite relaxatio ns for nonconvex quadratic pro- grams.

SoS Certificates for Sparse Singular Values and Their Applications: Robust Statistics, Subspace Distortion, and More New positive semideﬁnite relaxatio ns for nonconvex quadratic pro- grams

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:08:28.829652Z

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Observation 8bead756-fb7d-4c01-afab-83e9f53b086a · outbound

This paper cites Optimal Spectral Recovery of a Planted Vector in a Subspace.

SoS Certificates for Sparse Singular Values and Their Applications: Robust Statistics, Subspace Distortion, and More Optimal Spectral Recovery of a Planted Vector in a Subspace

Reference 18

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Source-reported events for the cited work

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Observation a0ce92cb-0a91-40b9-b8d9-6cd1e6d7f9fa · outbound

This paper cites On the bit complexity of s um-of-squares proofs.

SoS Certificates for Sparse Singular Values and Their Applications: Robust Statistics, Subspace Distortion, and More On the bit complexity of s um-of-squares proofs

Reference 19

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Source-reported events for the cited work

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Observation 4685bd06-7bb9-4291-a9a2-f160af7e560c · outbound

This paper cites Sparse princi pal component analysis.

SoS Certificates for Sparse Singular Values and Their Applications: Robust Statistics, Subspace Distortion, and More Sparse princi pal component analysis

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:08:28.531536Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation b43a5783-4e94-4397-829c-8a27f9b57ec0 · outbound

This paper cites The dimension of almost spheric al sections of convex bodies.

SoS Certificates for Sparse Singular Values and Their Applications: Robust Statistics, Subspace Distortion, and More The dimension of almost spheric al sections of convex bodies

Reference 270

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:08:28.751248Z

Source-reported events for the cited work

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Observation 13f1a4fe-9475-473a-a0a1-25ce8b29a14e · outbound

This paper cites Information-theore tically optimal sparse PCA.

SoS Certificates for Sparse Singular Values and Their Applications: Robust Statistics, Subspace Distortion, and More Information-theore tically optimal sparse PCA

Reference 2009

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:08:29.228325Z

Source-reported events for the cited work

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Observation ab23ab20-1d3f-4e3b-adb3-bba8f0828723 · outbound

This paper cites Sum-of-squares proofs and the quest toward optimal algorithms.

SoS Certificates for Sparse Singular Values and Their Applications: Robust Statistics, Subspace Distortion, and More Sum-of-squares proofs and the quest toward optimal algorithms

Reference 2012

Resolution: unresolved; no resolver link, observed 2026-08-10T23:08:26.522195Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7cc672b2-70df-46ab-9075-5c791b72acf4 · outbound

This paper cites Sparse PCA via covari ance thresholding.

SoS Certificates for Sparse Singular Values and Their Applications: Robust Statistics, Subspace Distortion, and More Sparse PCA via covari ance thresholding

Reference 2014

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:08:29.127694Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 4b5dc7b3-fede-4438-9de4-50eb5ae62be9 · outbound

This paper cites Noisy tensor completion via the s um-of-squares hierarchy.

SoS Certificates for Sparse Singular Values and Their Applications: Robust Statistics, Subspace Distortion, and More Noisy tensor completion via the s um-of-squares hierarchy

Reference 2015

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:08:29.596067Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 71a9913d-362d-4c27-917f-6d48a6960973 · outbound

This paper cites SoS Certifiability of Subgaussian Distributions and its Algorithmic Applications.

SoS Certificates for Sparse Singular Values and Their Applications: Robust Statistics, Subspace Distortion, and More SoS Certifiability of Subgaussian Distributions and its Algorithmic Applications

Reference 2016

Resolution: unresolved; no resolver link, observed 2026-08-10T23:08:26.802575Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 83924ac8-ce22-480d-9f8c-cd75b269ba68 · outbound

This paper cites Ro- bust Estimators in High-Dimensions Without the Computatio nal Intractability.

SoS Certificates for Sparse Singular Values and Their Applications: Robust Statistics, Subspace Distortion, and More Ro- bust Estimators in High-Dimensions Without the Computatio nal Intractability

Reference 2017

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:08:29.370806Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation de740a71-6e88-4dee-badb-ad7cc143fa9a · outbound

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

SoS Certificates for Sparse Singular Values and Their Applications: Robust Statistics, Subspace Distortion, and More Tensor princip al component analysis via sum-of-square proofs

Reference 2018

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:08:28.984868Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 72370702-aab0-4c00-bd40-493157f6f349 · outbound

This paper cites Subexp onential-time algorithms for sparse PCA.

SoS Certificates for Sparse Singular Values and Their Applications: Robust Statistics, Subspace Distortion, and More Subexp onential-time algorithms for sparse PCA

Reference 2019

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:08:29.308770Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 8b39d7c6-81ac-431f-93d5-313ade561754 · outbound

This paper cites Outlier-robust moment-estimation via sum-of-squares.

SoS Certificates for Sparse Singular Values and Their Applications: Robust Statistics, Subspace Distortion, and More Outlier-robust moment-estimation via sum-of-squares

Reference 2020

Resolution: unresolved; no resolver link, observed 2026-08-10T23:08:27.965112Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0f74355c-a938-4a29-bda8-dbb55d56ba04 · outbound

This paper cites Estimates of the Hermite and the Freud polynomials.

SoS Certificates for Sparse Singular Values and Their Applications: Robust Statistics, Subspace Distortion, and More Estimates of the Hermite and the Freud polynomials

Reference 2021

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:08:29.626540Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation b6da5924-25a0-4a44-87f4-38eab6e550dc · outbound

This paper cites Robust covariance and sc atter matrix estimation under Huber’s contamination model.

SoS Certificates for Sparse Singular Values and Their Applications: Robust Statistics, Subspace Distortion, and More Robust covariance and sc atter matrix estimation under Huber’s contamination model

Reference 2022

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:08:29.491486Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 3807d617-425e-45f2-9091-8063db0a93dd · outbound

This paper cites High-dimensional a nalysis of semideﬁnite re- laxations for sparse principal components.

SoS Certificates for Sparse Singular Values and Their Applications: Robust Statistics, Subspace Distortion, and More High-dimensional a nalysis of semideﬁnite re- laxations for sparse principal components

Reference 2023

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:08:29.744759Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation aaaf11d6-8795-458f-8538-4d556712a425 · outbound

This paper cites Almost Euc lidean subspaces of ℓN 1 via expander codes.

SoS Certificates for Sparse Singular Values and Their Applications: Robust Statistics, Subspace Distortion, and More Almost Euc lidean subspaces of ℓN 1 via expander codes

Reference 2024

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:08:29.064323Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Pith citing papers

No inbound Pith citation observations are available.