Paper Citation Record · LEDGER

Local Averaging Accurately Distills Manifold Structure From Noisy Data

As of 19 August 2026, this Paper Citation Record lists 36 of 36 outbound references and 0 inbound Pith citation observations for arXiv:2506.18761.

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

pith.paper-citation-record.v1
2506.18761 v1

Coverage vector

measured 36 of 36 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T19:00:21.221637Z

measured 36 of 36 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

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measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

36 of 36 outbound references displayed

verified exact1
verified fuzzy27
unresolved7
parse uncertain1
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External citation measurements

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Outbound references

Observation 6b07eada-ed06-4c09-9b6f-7db11d0e6928 · outbound

This paper cites The estimation of the gradient of a density function, with applications in pattern recognition.IEEE Transactions on information theory, 21(1):32–40, 1975.

Local Averaging Accurately Distills Manifold Structure From Noisy Data The estimation of the gradient of a density function, with applications in pattern recognition.IEEE Transactions on information theory, 21(1):32–40, 1975

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:00:21.685906Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation a9994178-aca8-4941-8b46-bf5bac8cc3aa · outbound

This paper cites A non-local algorithm for image de- noising.

Local Averaging Accurately Distills Manifold Structure From Noisy Data A non-local algorithm for image de- noising

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:00:21.674181Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 60246db9-2211-473d-86a1-56422a3264f2 · outbound

This paper cites Non-local means denoising.

Local Averaging Accurately Distills Manifold Structure From Noisy Data Non-local means denoising

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:00:21.661277Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 7fa43b35-add0-43a1-b21d-2447c6feb962 · outbound

This paper cites Roweis and Lawrence K.

Local Averaging Accurately Distills Manifold Structure From Noisy Data Roweis and Lawrence K

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-15T19:00:20.993532Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c7f5d03d-9e87-4ead-ab0e-3d5731a3f873 · outbound

This paper cites Manifold fitting, 2023.

Local Averaging Accurately Distills Manifold Structure From Noisy Data Manifold fitting, 2023

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:00:21.642013Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation f5ac3550-d43e-433b-b3d2-22e1595afd75 · outbound

This paper cites Manifold fitting under unbounded noise.Journal of Machine Learning Research, 26(45):1–55, 2025.

Local Averaging Accurately Distills Manifold Structure From Noisy Data Manifold fitting under unbounded noise.Journal of Machine Learning Research, 26(45):1–55, 2025

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:00:21.629503Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 7d1664ab-4894-43ac-b9f2-97234d5442d0 · outbound

This paper cites Estimation of local geometric structure on manifolds from noisy data.Journal of Machine Learning Research, 26(64):1–89, 2025.

Local Averaging Accurately Distills Manifold Structure From Noisy Data Estimation of local geometric structure on manifolds from noisy data.Journal of Machine Learning Research, 26(64):1–89, 2025

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:00:21.615216Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation bb157df9-20d9-4cc3-a468-9bcee3db3a79 · outbound

This paper cites Towardsatheoreticalfoundationforlaplacian-based manifold methods.Journal of Computer and System Sciences, 74(8):1289–1308, 2008.

Local Averaging Accurately Distills Manifold Structure From Noisy Data Towardsatheoreticalfoundationforlaplacian-based manifold methods.Journal of Computer and System Sciences, 74(8):1289–1308, 2008

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:00:21.602030Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 761ef7cd-7215-42db-950e-e211967f40e4 · outbound

This paper cites Local regularization of noisy point clouds: Improved global geometric estimates and data analysis.Journal of Machine Learning Research, 20(136):1–37, 2019.

Local Averaging Accurately Distills Manifold Structure From Noisy Data Local regularization of noisy point clouds: Improved global geometric estimates and data analysis.Journal of Machine Learning Research, 20(136):1–37, 2019

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:00:21.589176Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 78ee4eed-0753-4615-9d26-c1c64f2cf3ac · outbound

This paper cites Fast, Accurate Manifold Denoising by Tunneling Riemannian Optimization.

Local Averaging Accurately Distills Manifold Structure From Noisy Data Fast, Accurate Manifold Denoising by Tunneling Riemannian Optimization

Reference 10

Resolution: verified exact; local_arxiv, observed 2026-08-15T19:00:21.295794Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation cf2cd86a-c3cb-4da5-a9cf-30e1b852b98e · outbound

This paper cites Eine methode zur auffindung von gruppen.Biometrische Zeitschrift, 6(1):47– 48, 1964.

Local Averaging Accurately Distills Manifold Structure From Noisy Data Eine methode zur auffindung von gruppen.Biometrische Zeitschrift, 6(1):47– 48, 1964

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:00:21.575192Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 5547cc91-e728-4338-afc1-4c9550295d02 · outbound

This paper cites Nonparametric ridge estimation.

Local Averaging Accurately Distills Manifold Structure From Noisy Data Nonparametric ridge estimation

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:00:21.561509Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 7720111e-33a2-4635-8bbb-8770b256d0a1 · outbound

This paper cites Mean shift analysis and applications.

Local Averaging Accurately Distills Manifold Structure From Noisy Data Mean shift analysis and applications

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-15T19:00:21.028422Z

Source-reported events for the cited work

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Observation f7b51963-111e-43cd-8b5a-7de37539e1cc · outbound

This paper cites On convergence of epanechnikov mean shift.

Local Averaging Accurately Distills Manifold Structure From Noisy Data On convergence of epanechnikov mean shift

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:00:21.540212Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation de1ae69e-350e-43c3-be31-8cf327162e3c · outbound

This paper cites Gaussianmean-shiftisanemalgorithm.IEEETransactions on Pattern Analysis and Machine Intelligence, 29(5):767–776, 2007.

Local Averaging Accurately Distills Manifold Structure From Noisy Data Gaussianmean-shiftisanemalgorithm.IEEETransactions on Pattern Analysis and Machine Intelligence, 29(5):767–776, 2007

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:00:21.527374Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 318f7be7-e9df-4917-b30d-24c2fe49db9e · outbound

This paper cites Convergence analysis of mean shift.IEEE transactions on pattern analysis and machine intelligence, 2024.

Local Averaging Accurately Distills Manifold Structure From Noisy Data Convergence analysis of mean shift.IEEE transactions on pattern analysis and machine intelligence, 2024

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:00:21.514973Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation e885d5da-38a4-4ca4-b98f-0205c2d0b2c9 · outbound

This paper cites Nonasymptotic rates for manifold, tangent space and curvature estimation.

Local Averaging Accurately Distills Manifold Structure From Noisy Data Nonasymptotic rates for manifold, tangent space and curvature estimation

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:00:21.501788Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 51c6d827-6868-4fd7-b698-0faa6d482ea0 · outbound

This paper cites Manifold blurring mean shift algo- rithms for manifold denoising.

Local Averaging Accurately Distills Manifold Structure From Noisy Data Manifold blurring mean shift algo- rithms for manifold denoising

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:00:21.487573Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 1c6abb89-b083-47f9-bad6-6dd0f2152bc6 · outbound

This paper cites Manifold Learning Using Kernel Density Estimation and Local Principal Components Analysis.

Local Averaging Accurately Distills Manifold Structure From Noisy Data Manifold Learning Using Kernel Density Estimation and Local Principal Components Analysis

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-15T19:00:21.051027Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3c7d4f64-4d81-4991-b73f-aed7e84306d1 · outbound

This paper cites Smooth manifold reconstruction from noisy and non-uniform approximation with guarantees.Computational Geometry, 40(2):156–170, 2008.

Local Averaging Accurately Distills Manifold Structure From Noisy Data Smooth manifold reconstruction from noisy and non-uniform approximation with guarantees.Computational Geometry, 40(2):156–170, 2008

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:00:21.473194Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 1c854228-2bca-4ffc-a733-c438aedda937 · outbound

This paper cites Minimax manifold estimation.Journal of machine learning research, 13:1263–1291, 2012.

Local Averaging Accurately Distills Manifold Structure From Noisy Data Minimax manifold estimation.Journal of machine learning research, 13:1263–1291, 2012

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:00:21.460335Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 57c43256-4793-4377-b729-6ea1b2613d4b · outbound

This paper cites Finding the homology of submanifolds with high confidence from random samples.Discrete & Computational Geometry, 39:419–441, 2008.

Local Averaging Accurately Distills Manifold Structure From Noisy Data Finding the homology of submanifolds with high confidence from random samples.Discrete & Computational Geometry, 39:419–441, 2008

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:00:21.448230Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 595f79a4-4c61-4dc1-86c5-f5e2e913dcdc · outbound

This paper cites Fitting a manifold of large reach to noisy data.

Local Averaging Accurately Distills Manifold Structure From Noisy Data Fitting a manifold of large reach to noisy data

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-15T19:00:21.067085Z

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Observation d0651457-b6eb-49ce-8c04-33260941bcbe · outbound

This paper cites Tenenbaum, Vin de Silva, and John C.

Local Averaging Accurately Distills Manifold Structure From Noisy Data Tenenbaum, Vin de Silva, and John C

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:00:21.434599Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation d6c57648-f142-4e02-a571-09c1fe538d55 · outbound

This paper cites Manifold denoising.Advances in neural information processing systems, 19, 2006.

Local Averaging Accurately Distills Manifold Structure From Noisy Data Manifold denoising.Advances in neural information processing systems, 19, 2006

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:00:21.421834Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation eb743bd7-cf35-485b-8888-998c435f4396 · outbound

This paper cites Fitting a manifold to data in the presence of large noise.

Local Averaging Accurately Distills Manifold Structure From Noisy Data Fitting a manifold to data in the presence of large noise

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-15T19:00:21.078094Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f832d0e7-c51a-4377-a461-29a452ce16b3 · outbound

This paper cites Cambridge university press, 2018.

Local Averaging Accurately Distills Manifold Structure From Noisy Data Cambridge university press, 2018

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-15T19:00:21.082091Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9d2e2825-04c6-4d8b-b335-81c26dc18dfb · outbound

This paper cites Wainwright.High-Dimensional Statistics: A Non-Asymptotic Viewpoint.

Local Averaging Accurately Distills Manifold Structure From Noisy Data Wainwright.High-Dimensional Statistics: A Non-Asymptotic Viewpoint

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:00:21.400375Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 8a9986c2-6e43-4139-adc4-f062e6a83c02 · outbound

This paper cites Existence, uniqueness and regularity of the projection onto differentiable manifolds.Annals of global analysis and geometry, 60(3):559–587, 2021.

Local Averaging Accurately Distills Manifold Structure From Noisy Data Existence, uniqueness and regularity of the projection onto differentiable manifolds.Annals of global analysis and geometry, 60(3):559–587, 2021

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:00:21.387783Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 48697a17-90cf-4cb0-9747-8081319b3ba7 · outbound

This paper cites Adaptive estimation of a quadratic functional by model selection.Annals of statistics, pages 1302–1338, 2000.

Local Averaging Accurately Distills Manifold Structure From Noisy Data Adaptive estimation of a quadratic functional by model selection.Annals of statistics, pages 1302–1338, 2000

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-15T19:00:21.093413Z

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Unavailable: canonical work link unavailable.

Observation 86ed45b9-5edb-4b95-84e7-8f3d20ee3044 · outbound

This paper cites Tpopt: Efficienttrainabletemplateoptimziationonlow-dimensionalmanifolds.

Local Averaging Accurately Distills Manifold Structure From Noisy Data Tpopt: Efficienttrainabletemplateoptimziationonlow-dimensionalmanifolds

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:00:21.366841Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation d4293542-5d5c-40d5-a0ab-c2a4fb90261a · outbound

This paper cites 1 Nmb NmbX ℓ=1 zℓ−E.

Local Averaging Accurately Distills Manifold Structure From Noisy Data 1 Nmb NmbX ℓ=1 zℓ−E

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:00:21.354669Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation f4ac6523-40e4-41a6-85ba-4b42388a1d3f · outbound

This paper cites d(x,M)1 ∥z∥≤ 1 6τ # ≥E.

Local Averaging Accurately Distills Manifold Structure From Noisy Data d(x,M)1 ∥z∥≤ 1 6τ # ≥E

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:00:21.343612Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 94d5efa9-985c-4527-849b-aff5c36925a8 · outbound

This paper cites Observe that Cn−Cn+1 =−log(n+ 1)−(n+ 1.

Local Averaging Accurately Distills Manifold Structure From Noisy Data Observe that Cn−Cn+1 =−log(n+ 1)−(n+ 1

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:00:21.330803Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 9197ac0e-6c80-41ed-91d7-1a0ed79c7d02 · outbound

This paper cites an unresolved cited work.

Local Averaging Accurately Distills Manifold Structure From Noisy Data Unresolved cited work

Reference 35

Resolution: parse uncertain; raw_fallback, observed 2026-08-15T19:00:21.318965Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 1d500aef-21ee-49f3-8d89-1559de9baa32 · outbound

This paper cites 1 N NX ℓ=1 zℓ−E.

Local Averaging Accurately Distills Manifold Structure From Noisy Data 1 N NX ℓ=1 zℓ−E

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:00:21.308031Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Pith citing papers

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