Paper Citation Record · LEDGER

Dimension Reduction via Sum-of-Squares and Improved Clustering Algorithms for Non-Spherical Mixtures

As of 22 August 2026, this Paper Citation Record lists 38 of 38 outbound references and 1 inbound Pith citation observation for arXiv:2411.12438.

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

pith.paper-citation-record.v1
2411.12438 v2

Coverage vector

measured 38 of 38 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T17:47:17.248163Z

measured 39 of 39 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 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-16T11:43:10.032875Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-16T11:43:10.287577Z

Reference resolution

38 of 38 outbound references displayed

verified exact2
verified fuzzy26
unresolved9
parse uncertain0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 93bd2660-d2ca-4d3b-b7b1-9a02546d068d · outbound

This paper cites On spectral learning of mixtures of distributions.

Dimension Reduction via Sum-of-Squares and Improved Clustering Algorithms for Non-Spherical Mixtures On spectral learning of mixtures of distributions

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T17:47:18.553899Z

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 39c5b42c-3e4b-4ba6-8548-e79010df2cf2 · outbound

This paper cites Kane, Pravesh K.

Dimension Reduction via Sum-of-Squares and Improved Clustering Algorithms for Non-Spherical Mixtures Kane, Pravesh K

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T17:47:18.522454Z

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Observation af375740-e4ab-4b16-8bb0-a4647eb07235 · outbound

This paper cites Outlier-Robust Clustering of Non-Spherical Mixtures.

Dimension Reduction via Sum-of-Squares and Improved Clustering Algorithms for Non-Spherical Mixtures Outlier-Robust Clustering of Non-Spherical Mixtures

Reference 3

Resolution: verified exact; local_arxiv, observed 2026-08-12T17:47:17.558777Z

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

Observation 6d765bf7-1789-4ae5-8110-4d2019a66b48 · outbound

This paper cites an unresolved cited work.

Dimension Reduction via Sum-of-Squares and Improved Clustering Algorithms for Non-Spherical Mixtures Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-08-12T17:47:18.484036Z

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Observation ede31620-40c4-4d46-b19b-b30e12c91890 · outbound

This paper cites Efficient Certificates of Anti-Concentration Beyond Gaussians.

Dimension Reduction via Sum-of-Squares and Improved Clustering Algorithms for Non-Spherical Mixtures Efficient Certificates of Anti-Concentration Beyond Gaussians

Reference 5

Resolution: verified exact; local_arxiv, observed 2026-08-12T17:47:17.514254Z

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

Observation 13e38364-6b4b-4ae0-9ff9-d11836e80ce3 · outbound

This paper cites Kelner, and David Steurer.

Dimension Reduction via Sum-of-Squares and Improved Clustering Algorithms for Non-Spherical Mixtures Kelner, and David Steurer

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T17:47:18.460954Z

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Observation 2cb7a263-1ab9-48ac-be95-28b0934c0018 · outbound

This paper cites Continuous LWE.

Dimension Reduction via Sum-of-Squares and Improved Clustering Algorithms for Non-Spherical Mixtures Continuous LWE

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T17:47:18.427511Z

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 57b77167-18ab-4b0c-ade3-e680b96f1dcc · outbound

This paper cites Polynomial learning of distribution families.

Dimension Reduction via Sum-of-Squares and Improved Clustering Algorithms for Non-Spherical Mixtures Polynomial learning of distribution families

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T17:47:18.393898Z

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Observation 22178d0c-bf9b-49cd-8d87-b3fbdc4884ab · outbound

This paper cites Proofs, beliefs, and algorithms through the lens of sum-of-squares.

Dimension Reduction via Sum-of-Squares and Improved Clustering Algorithms for Non-Spherical Mixtures Proofs, beliefs, and algorithms through the lens of sum-of-squares

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T17:47:18.358273Z

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 f7a88c4e-22a8-4847-a864-4f63e0bac529 · outbound

This paper cites Beyond parallel pancakes: Quasi-polynomial time guarantees for non-spherical gaussian mixtures.

Dimension Reduction via Sum-of-Squares and Improved Clustering Algorithms for Non-Spherical Mixtures Beyond parallel pancakes: Quasi-polynomial time guarantees for non-spherical gaussian mixtures

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T17:47:18.327229Z

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 af901a2e-d35d-47fc-9b9f-95f89af59462 · outbound

This paper cites Learning mixtures of linear regressions in subexponential time via F ourier moments.

Dimension Reduction via Sum-of-Squares and Improved Clustering Algorithms for Non-Spherical Mixtures Learning mixtures of linear regressions in subexponential time via F ourier moments

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T17:47:18.301676Z

Source-reported events for the cited work

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Observation 50fee61e-7ed0-49a1-8815-75f64dd5eb3a · outbound

This paper cites Learning mixtures of G aussians.

Dimension Reduction via Sum-of-Squares and Improved Clustering Algorithms for Non-Spherical Mixtures Learning mixtures of G aussians

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T17:47:18.273219Z

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 f90b6d5b-6148-4156-9db5-06acd406c8ef · outbound

This paper cites Robustly Learning any Clusterable Mixture of Gaussians.

Dimension Reduction via Sum-of-Squares and Improved Clustering Algorithms for Non-Spherical Mixtures Robustly Learning any Clusterable Mixture of Gaussians

Reference 13

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Source-reported events for the cited work

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Observation eb50693e-0b08-4bdf-aeac-9c71cba004e4 · outbound

This paper cites an unresolved cited work.

Dimension Reduction via Sum-of-Squares and Improved Clustering Algorithms for Non-Spherical Mixtures Unresolved cited work

Reference 14

Resolution: unresolved; raw_fallback, observed 2026-08-12T17:47:18.235920Z

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 9de07624-b00b-4b5b-845e-b2e2240431f6 · outbound

This paper cites Robust estimators in high-dimensions without the computational intractability.

Dimension Reduction via Sum-of-Squares and Improved Clustering Algorithms for Non-Spherical Mixtures Robust estimators in high-dimensions without the computational intractability

Reference 15

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Source-reported events for the cited work

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Observation 01b7ba1a-4ff4-444a-b6d9-18ac262f276d · outbound

This paper cites A spectral algorithm for list-decodable covariance estimation in relative frobenius norm.

Dimension Reduction via Sum-of-Squares and Improved Clustering Algorithms for Non-Spherical Mixtures A spectral algorithm for list-decodable covariance estimation in relative frobenius norm

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T17:47:18.170394Z

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 c04118be-8c94-4781-948f-ff8de64b1989 · outbound

This paper cites Kane, and Alistair Stewart.

Dimension Reduction via Sum-of-Squares and Improved Clustering Algorithms for Non-Spherical Mixtures Kane, and Alistair Stewart

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T17:47:18.141621Z

Source-reported events for the cited work

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Observation 0cbd6327-93eb-487b-8bc3-06b81a4b5b16 · outbound

This paper cites Kane, and Alistair Stewart.

Dimension Reduction via Sum-of-Squares and Improved Clustering Algorithms for Non-Spherical Mixtures Kane, and Alistair Stewart

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T17:47:18.115688Z

Source-reported events for the cited work

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Observation e7d98da1-03b6-455d-b8b9-a8366799b0cb · outbound

This paper cites Semialgebraic proofs and efficient algorithm design.

Dimension Reduction via Sum-of-Squares and Improved Clustering Algorithms for Non-Spherical Mixtures Semialgebraic proofs and efficient algorithm design

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T17:47:18.082576Z

Source-reported events for the cited work

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Observation 84760d9c-8747-44ed-ac0e-c8eaf1688305 · outbound

This paper cites an unresolved cited work.

Dimension Reduction via Sum-of-Squares and Improved Clustering Algorithms for Non-Spherical Mixtures Unresolved cited work

Reference 20

Resolution: unresolved; raw_fallback, observed 2026-08-12T17:47:18.058266Z

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

Observation 80b48f1c-1d36-47ab-88b2-c21183ed69cf · outbound

This paper cites Continuous LWE is as hard as LWE & applications to learning G aussian mixtures.

Dimension Reduction via Sum-of-Squares and Improved Clustering Algorithms for Non-Spherical Mixtures Continuous LWE is as hard as LWE & applications to learning G aussian mixtures

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T17:47:18.037543Z

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Dimension Reduction via Sum-of-Squares and Improved Clustering Algorithms for Non-Spherical Mixtures Unresolved cited work

Reference 22

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Observation 00ac853d-5ee5-41ce-b165-756560976406 · outbound

This paper cites Hopkins and Jerry Li.

Dimension Reduction via Sum-of-Squares and Improved Clustering Algorithms for Non-Spherical Mixtures Hopkins and Jerry Li

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T17:47:17.980423Z

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Observation 23196911-67de-4a8b-ac4e-8cd2f1e22e4e · outbound

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Dimension Reduction via Sum-of-Squares and Improved Clustering Algorithms for Non-Spherical Mixtures Unresolved cited work

Reference 24

Resolution: unresolved; raw_fallback, observed 2026-08-12T17:47:17.945271Z

Source-reported events for the cited work

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Observation 9d605d0c-45b2-4561-8319-73d3d69230bf · outbound

This paper cites an unresolved cited work.

Dimension Reduction via Sum-of-Squares and Improved Clustering Algorithms for Non-Spherical Mixtures Unresolved cited work

Reference 25

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Observation 9cbe1be8-2c5c-4694-acee-2f4797f8f28c · outbound

This paper cites List-decodable linear regression.

Dimension Reduction via Sum-of-Squares and Improved Clustering Algorithms for Non-Spherical Mixtures List-decodable linear regression

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T17:47:17.898087Z

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Observation c1331ece-c71c-4353-b6ea-92b0cac950b2 · outbound

This paper cites Efficiently learning mixtures of two G aussians.

Dimension Reduction via Sum-of-Squares and Improved Clustering Algorithms for Non-Spherical Mixtures Efficiently learning mixtures of two G aussians

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T17:47:17.873923Z

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 4db78be2-2d6d-4463-bd26-231333ae38b0 · outbound

This paper cites Better Agnostic Clustering Via Relaxed Tensor Norms.

Dimension Reduction via Sum-of-Squares and Improved Clustering Algorithms for Non-Spherical Mixtures Better Agnostic Clustering Via Relaxed Tensor Norms

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-12T17:47:17.126891Z

Source-reported events for the cited work

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Observation 9fb9e333-ada9-49bc-94d9-aaac9e4a0e09 · outbound

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

Dimension Reduction via Sum-of-Squares and Improved Clustering Algorithms for Non-Spherical Mixtures Outlier-robust moment-estimation via sum-of-squares

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-12T17:47:17.135873Z

Source-reported events for the cited work

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Observation ee3d1046-1688-4bb4-a3e6-24899cc8aa8d · outbound

This paper cites Clustering mixtures with almost optimal separation in polynomial time.

Dimension Reduction via Sum-of-Squares and Improved Clustering Algorithms for Non-Spherical Mixtures Clustering mixtures with almost optimal separation in polynomial time

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T17:47:17.851297Z

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 07d8ac5b-6b08-4dcb-b8c8-2b29d0593404 · outbound

This paper cites Learning gmms with nearly optimal robustness guarantees.

Dimension Reduction via Sum-of-Squares and Improved Clustering Algorithms for Non-Spherical Mixtures Learning gmms with nearly optimal robustness guarantees

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T17:47:17.820517Z

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 6446f9b3-8cd3-46cc-90b1-9f3bec01378f · outbound

This paper cites Lai, Anup B.

Dimension Reduction via Sum-of-Squares and Improved Clustering Algorithms for Non-Spherical Mixtures Lai, Anup B

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T17:47:17.782924Z

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 bd4603d3-bc2a-4284-921f-073a14789069 · outbound

This paper cites Polynomial-time tensor decompositions with sum-of-squares.

Dimension Reduction via Sum-of-Squares and Improved Clustering Algorithms for Non-Spherical Mixtures Polynomial-time tensor decompositions with sum-of-squares

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T17:47:17.742873Z

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 10f8e285-aad7-458d-9128-f21fde92ffce · outbound

This paper cites Settling the polynomial learnability of mixtures of G aussians.

Dimension Reduction via Sum-of-Squares and Improved Clustering Algorithms for Non-Spherical Mixtures Settling the polynomial learnability of mixtures of G aussians

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T17:47:17.712623Z

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 e202bda5-3d5d-4b43-bb02-2d6e6c59c8c4 · outbound

This paper cites Contributions to the mathematical theory of evolution.

Dimension Reduction via Sum-of-Squares and Improved Clustering Algorithms for Non-Spherical Mixtures Contributions to the mathematical theory of evolution

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T17:47:17.678083Z

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 75b61302-ab75-469a-ae96-30b7a6f8a771 · outbound

This paper cites List decodable learning via sum of squares.

Dimension Reduction via Sum-of-Squares and Improved Clustering Algorithms for Non-Spherical Mixtures List decodable learning via sum of squares

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T17:47:17.647581Z

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 3ebc3dd6-0ee5-445e-9a39-7d4a8e50691d · outbound

This paper cites Learning mixtures of arbitrary G aussians.

Dimension Reduction via Sum-of-Squares and Improved Clustering Algorithms for Non-Spherical Mixtures Learning mixtures of arbitrary G aussians

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T17:47:17.615222Z

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 79725223-a8e1-4816-8019-355121b670c9 · outbound

This paper cites A spectral algorithm for learning mixture models.

Dimension Reduction via Sum-of-Squares and Improved Clustering Algorithms for Non-Spherical Mixtures A spectral algorithm for learning mixture models

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T17:47:17.587000Z

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

Observation 7016ef04-e32a-42a4-9ba6-20e4114bd55f · inbound

On Learning Parallel Pancakes with Mostly Uniform Weights cites this paper.

On Learning Parallel Pancakes with Mostly Uniform Weights Dimension Reduction via Sum-of-Squares and Improved Clustering Algorithms for Non-Spherical Mixtures

Reference 1999

Resolution: verified exact; local_arxiv, observed 2026-08-16T11:43:10.293673Z

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.