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Paper Citation Record · LEDGER

Online Covariance Estimation in Nonsmooth Stochastic Approximation

As of 10 August 2026, this Paper Citation Record lists 41 of 41 outbound references and 2 inbound Pith citation observations for arXiv:2502.05305.

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

pith.paper-citation-record.v1
2502.05305 v2

Coverage vector

measured 41 of 41 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-08T19:59:24.388261Z

measured 43 of 43 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-07T14:39:53.421382Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-11T10:16:08.086855Z

Reference resolution

41 of 41 outbound references displayed

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  • verified fuzzy28
  • unresolved10
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External citation measurements

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Outbound references

Observation 9accc6e4-821b-47a2-b1ed-584a8b9db75e · outbound

This paper cites Online covariance matrix estimation in stochastic gradient descent.

Online Covariance Estimation in Nonsmooth Stochastic Approximation Online covariance matrix estimation in stochastic gradient descent

Reference 1

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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Observation 3cb26903-8924-4f6c-8cf3-031b4acecb74 · outbound

This paper cites Acceleration of stochastic approximation by averaging.

Online Covariance Estimation in Nonsmooth Stochastic Approximation Acceleration of stochastic approximation by averaging

Reference 2

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Observation a1fdacb0-f340-4d07-aa8d-e845da10daab · outbound

This paper cites Asymptotic and finite-sample properties of estimators based on stochastic gradients.

Online Covariance Estimation in Nonsmooth Stochastic Approximation Asymptotic and finite-sample properties of estimators based on stochastic gradients

Reference 3

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Observation b21fed6c-802b-41bb-9b87-7fdf4c212b7b · outbound

This paper cites Asymptotic optimality in stochastic optimization.

Online Covariance Estimation in Nonsmooth Stochastic Approximation Asymptotic optimality in stochastic optimization

Reference 4

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Observation c1d90ea7-cd0d-48f3-a58b-6229963340f1 · outbound

This paper cites Normal ap- proximation for stochastic gradient descent via non-asymptotic rates of martingale clt.

Online Covariance Estimation in Nonsmooth Stochastic Approximation Normal ap- proximation for stochastic gradient descent via non-asymptotic rates of martingale clt

Reference 5

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Observation 771cba9b-f72c-4616-8655-0a6f4f3e6f70 · outbound

This paper cites Berry–esseen bounds for multivariate nonlinear statistics with applications to m-estimators and stochastic gradient descent algorithms.

Online Covariance Estimation in Nonsmooth Stochastic Approximation Berry–esseen bounds for multivariate nonlinear statistics with applications to m-estimators and stochastic gradient descent algorithms

Reference 6

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Observation 08e608fa-d7a4-42e2-9505-54fcc5a531bc · outbound

This paper cites Gaussian Approximation and Multiplier Bootstrap for Polyak-Ruppert Averaged Linear Stochastic Approximation with Applications to TD Learning.

Online Covariance Estimation in Nonsmooth Stochastic Approximation Gaussian Approximation and Multiplier Bootstrap for Polyak-Ruppert Averaged Linear Stochastic Approximation with Applications to TD Learning

Reference 7

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Observation 42532b99-8f73-4edd-bdfc-6722514466be · outbound

This paper cites Asymptotic normality and optimality in nonsmooth stochastic approximation.

Online Covariance Estimation in Nonsmooth Stochastic Approximation Asymptotic normality and optimality in nonsmooth stochastic approximation

Reference 8

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Observation 2f8af507-651b-4d78-8db9-f8b0121a24a9 · outbound

This paper cites Resampling methods for dependent data.

Online Covariance Estimation in Nonsmooth Stochastic Approximation Resampling methods for dependent data

Reference 9

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source=pdf_text observed=2026-08-08T19:59:24.241270Z digest=sha256:ce79068df0ef88f669a60b7e2d6dc1789d7fd8355279b1ca1ef034e6fa47f82e

Observation a631dd65-e0e4-4884-9d57-4386c9fc3aaf · outbound

This paper cites Batch means and spectral variance estimators in markov chain monte carlo.

Online Covariance Estimation in Nonsmooth Stochastic Approximation Batch means and spectral variance estimators in markov chain monte carlo

Reference 10

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Observation d4706953-89f5-4862-bdb8-666f90e87e49 · outbound

This paper cites Online covariance estimation for stochastic gradient descent under Markovian sampling.

Online Covariance Estimation in Nonsmooth Stochastic Approximation Online covariance estimation for stochastic gradient descent under Markovian sampling

Reference 11

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Observation 9bbeb6f7-8d91-47d0-bf42-4bf41a35178d · outbound

This paper cites Statistical inference for model parameters in stochastic gradient descent.

Online Covariance Estimation in Nonsmooth Stochastic Approximation Statistical inference for model parameters in stochastic gradient descent

Reference 12

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Observation 9319e172-a22a-4c1a-a4a5-7393a3334221 · outbound

This paper cites Smooth manifolds.

Online Covariance Estimation in Nonsmooth Stochastic Approximation Smooth manifolds

Reference 13

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Observation 9b1f32a2-c944-4adb-a2b6-6bac14bcfad5 · outbound

This paper cites An introduction to optimization on smooth manifolds.

Online Covariance Estimation in Nonsmooth Stochastic Approximation An introduction to optimization on smooth manifolds

Reference 14

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Observation c00a4977-7167-4f3c-80e5-68ac18667990 · outbound

This paper cites Springer Science & Business Media, 2009.

Online Covariance Estimation in Nonsmooth Stochastic Approximation Springer Science & Business Media, 2009

Reference 15

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Observation 0d4f238a-0ed7-4847-8f50-137b1ceeb916 · outbound

This paper cites A nearly linearly convergent first-order method for nonsmooth functions with quadratic growth.

Online Covariance Estimation in Nonsmooth Stochastic Approximation A nearly linearly convergent first-order method for nonsmooth functions with quadratic growth

Reference 16

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Observation 5f4ed6c4-46b6-48c9-9a82-a280faffd91b · outbound

This paper cites Numerical optimization.

Online Covariance Estimation in Nonsmooth Stochastic Approximation Numerical optimization

Reference 17

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Observation 99aeba80-74ad-4783-ab9a-949679f54d7e · outbound

This paper cites An efficient stochastic newton algorithm for parameter estimation in logistic regressions.

Online Covariance Estimation in Nonsmooth Stochastic Approximation An efficient stochastic newton algorithm for parameter estimation in logistic regressions

Reference 18

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source=pdf_text observed=2026-08-08T19:59:24.282330Z digest=sha256:31e5dd60a16251561743f5c26445c54204922bfb894b02c073384abdb395dfb2

Observation 44c2b065-a2e7-4d76-b9f5-231256e4eed6 · outbound

This paper cites Statistical Inference of Constrained Stochastic Optimization via Sketched Sequential Quadratic Programming.

Online Covariance Estimation in Nonsmooth Stochastic Approximation Statistical Inference of Constrained Stochastic Optimization via Sketched Sequential Quadratic Programming

Reference 19

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source=pdf_text observed=2026-08-08T19:59:24.286724Z digest=sha256:fc2feeaa2f02e1f48426057ec7a7d9d506ece1387b6648eeab615fe1821dd9f6

Observation 6d37251d-3a48-4174-b2df-a757c5861732 · outbound

This paper cites A Short Note on Concentration Inequalities for Random Vectors with SubGaussian Norm.

Online Covariance Estimation in Nonsmooth Stochastic Approximation A Short Note on Concentration Inequalities for Random Vectors with SubGaussian Norm

Reference 20

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source=pdf_text observed=2026-08-08T19:59:24.292143Z digest=sha256:f2ae319235b32325cc23cc0810b59056eb7578cf324623a5ce3cdba696811fe6

Observation 2829a42b-2df5-4907-b271-9c8f2fdd41cc · outbound

This paper cites Identifiable surfaces in constrained optimization.

Online Covariance Estimation in Nonsmooth Stochastic Approximation Identifiable surfaces in constrained optimization

Reference 21

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Observation 0191d6aa-43cc-4e5f-9100-7c11f655af84 · outbound

This paper cites Active sets, nonsmoothness, and sensitivity.

Online Covariance Estimation in Nonsmooth Stochastic Approximation Active sets, nonsmoothness, and sensitivity

Reference 22

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Observation 0b2a460e-415c-44bc-94b8-b18f013f4c5c · outbound

This paper cites The U-lagrangian of a convex function.

Online Covariance Estimation in Nonsmooth Stochastic Approximation The U-lagrangian of a convex function

Reference 23

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Observation 095c72d6-0e4f-4aad-9aeb-8100f4fedb96 · outbound

This paper cites A V U-algorithm for convex minimization.

Online Covariance Estimation in Nonsmooth Stochastic Approximation A V U-algorithm for convex minimization

Reference 24

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Observation 5d4706d2-189b-4b51-b4f3-b61cafa84422 · outbound

This paper cites On a class of nonsmooth composite functions.

Online Covariance Estimation in Nonsmooth Stochastic Approximation On a class of nonsmooth composite functions

Reference 25

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Observation 8bd130dd-473c-4202-baec-9ea97cf4685d · outbound

This paper cites Optimality, identifiability, and sensitivity.

Online Covariance Estimation in Nonsmooth Stochastic Approximation Optimality, identifiability, and sensitivity

Reference 26

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source=pdf_text observed=2026-08-08T19:59:24.322288Z digest=sha256:a076dbb1f2a66c2917c2787ee3842fab804e353da144a0e69273eea6ef51b4a7

Observation d04f63b3-b952-434e-be7d-3ddb73cc5e24 · outbound

This paper cites Active manifolds, stratifications, and convergence to local minima in nonsmooth optimization.

Online Covariance Estimation in Nonsmooth Stochastic Approximation Active manifolds, stratifications, and convergence to local minima in nonsmooth optimization

Reference 27

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source=pdf_text observed=2026-08-08T19:59:24.326723Z digest=sha256:1eec2f2b2ec0afd59bfee6531fea215967b4da12dea33e641d454f4c85c623fa

Observation 2f5dba0a-cbaf-498a-b157-471d65fe1e26 · outbound

This paper cites Fast policy extragradient methods for competitive games with entropy regularization.

Online Covariance Estimation in Nonsmooth Stochastic Approximation Fast policy extragradient methods for competitive games with entropy regularization

Reference 28

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Observation fed9e44f-5f18-404d-81ce-00e8292000f9 · outbound

This paper cites On the convergence of stochastic extragradient for bilinear games using restarted iteration averaging.

Online Covariance Estimation in Nonsmooth Stochastic Approximation On the convergence of stochastic extragradient for bilinear games using restarted iteration averaging

Reference 29

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source=pdf_text observed=2026-08-08T19:59:24.334763Z digest=sha256:402a7ddbf796cea8e12d6b77857b3a9483e81bf51014cba2c14d583fd73bb0ad

Observation 3155c5c1-4290-4965-8448-8304643a05eb · outbound

This paper cites Learning in games via reinforcement and regularization.

Online Covariance Estimation in Nonsmooth Stochastic Approximation Learning in games via reinforcement and regularization

Reference 30

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source=pdf_text observed=2026-08-08T19:59:24.338726Z digest=sha256:55b514eef57deec6fd5608c6817ee3e0a26d918413a252f2dd26e1dfbcccca8b

Observation 08209e21-0496-4448-9a5c-09afe1807868 · outbound

This paper cites Quantal response equilibria for normal form games.

Online Covariance Estimation in Nonsmooth Stochastic Approximation Quantal response equilibria for normal form games

Reference 31

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source=pdf_text observed=2026-08-08T19:59:24.343097Z digest=sha256:08722f9d37022db2413782028c6c8c011b252a991266b9a183c1e976179fad47

Observation 5f477bef-aff0-4237-ad99-4c92b32de0b5 · outbound

This paper cites Tight analyses for non-smooth stochastic gradient descent.

Online Covariance Estimation in Nonsmooth Stochastic Approximation Tight analyses for non-smooth stochastic gradient descent

Reference 32

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-08T19:59:24.347059Z digest=sha256:6e45ebaf5227f5be2001a026569d1a4fa19a227d7528b35c4dc855643cccc4a1

Observation 1f20fa35-fb90-4abc-943a-2b2ea9e0974a · outbound

This paper cites Stochastic optimization under distributional drift.

Online Covariance Estimation in Nonsmooth Stochastic Approximation Stochastic optimization under distributional drift

Reference 33

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source=pdf_text observed=2026-08-08T19:59:24.350988Z digest=sha256:783a68791819b3c77bec9b390e1f4bb4f8df87d748a22c09099dfb47e8151a18

Observation 6cf90af8-5f89-4507-a85d-c1b7c2e1639e · outbound

This paper cites Using Lemma F.4 and Lemma G.6, we have, ∥Si ti−1∥2 2∥E[∆ti−1∆⊤ ti−11 τks,δ>ti−1]∥2 ≤ ∥Si ti−1∥2 2E[∥∆ti−1∥2 21 τks,δ>ti−1] ≲ kα s tα i.

Online Covariance Estimation in Nonsmooth Stochastic Approximation Using Lemma F.4 and Lemma G.6, we have, ∥Si ti−1∥2 2∥E[∆ti−1∆⊤ ti−11 τks,δ>ti−1]∥2 ≤ ∥Si ti−1∥2 2E[∥∆ti−1∥2 21 τks,δ>ti−1] ≲ kα s tα i

Reference 34

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source=pdf_text observed=2026-08-08T19:59:24.355735Z digest=sha256:38456dfe85cddefaba8e1c549106c03eb7fee641169e3a85b98487f5c3ef2c2e

Observation 252eeb09-c4c2-437e-863e-cf88f1fb7afd · outbound

This paper cites By the definition ofyi, we always have∥∆ti−1∥ ≤4δ.

Online Covariance Estimation in Nonsmooth Stochastic Approximation By the definition ofyi, we always have∥∆ti−1∥ ≤4δ

Reference 35

Resolution
malformed identifier
raw_fallback, observed 2026-08-08T19:59:24.598747Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-08T19:59:24.360579Z digest=sha256:b7904d3bc9f05ca33dc6e47d5a388f6f2e42ca5e62571254b1eddb8d7e7a742f

Observation 7e858711-2751-423d-88c3-a684e27eb32e · outbound

This paper cites an unresolved cited work.

Online Covariance Estimation in Nonsmooth Stochastic Approximation Unresolved cited work

Reference 36

Resolution
unresolved
raw_fallback, observed 2026-08-08T19:59:24.583702Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-08T19:59:24.365526Z digest=sha256:f7872b3f7e8e01b2d7d9fd4bc1c10ab459a5921fec5d58c5c9cf59df3bb0df75

Observation 71668dfc-a600-4301-95c3-dbbdff15acbf · outbound

This paper cites an unresolved cited work.

Online Covariance Estimation in Nonsmooth Stochastic Approximation Unresolved cited work

Reference 37

Resolution
unresolved
raw_fallback, observed 2026-08-08T19:59:24.567734Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-08T19:59:24.370055Z digest=sha256:5518938b53133dfca11f9d14fb7d1ea7f9a4d2faedd454a83204630608a3f15d

Observation 769e5381-ba10-4571-b656-0ab8b283c9da · outbound

This paper cites Then Assumption 3.6 holds.

Online Covariance Estimation in Nonsmooth Stochastic Approximation Then Assumption 3.6 holds

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T19:59:24.553991Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-08T19:59:24.374378Z digest=sha256:ad7fccc947490e7713e101a3c1656c71d4501183099ec55efacc6a389585e68a

Observation 5655a49a-ba32-4e45-a2bb-e83ec5e65f56 · outbound

This paper cites an unresolved cited work.

Online Covariance Estimation in Nonsmooth Stochastic Approximation Unresolved cited work

Reference 39

Resolution
unresolved
raw_fallback, observed 2026-08-08T19:59:24.539694Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-08T19:59:24.378709Z digest=sha256:6da22c506fa9b9f3721bf359ba29e0a2b230ba4b9d05c0171ee16ad514903066

Observation 9dcf8cb7-f6a6-411e-9053-68009f0bbea2 · outbound

This paper cites an unresolved cited work.

Online Covariance Estimation in Nonsmooth Stochastic Approximation Unresolved cited work

Reference 40

Resolution
unresolved
raw_fallback, observed 2026-08-08T19:59:24.526275Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-08T19:59:24.383207Z digest=sha256:bb203cae70a6485db7fa8a98633a221fa626e33edb48e158fc5be1ec4268952f

Observation ff28db42-27a6-4170-aea0-8d29a0fe45ee · outbound

This paper cites yk+1 − yk ηk+1 + FM(yk) + PTM(yk)(νk) 2 2 # ≲.

Online Covariance Estimation in Nonsmooth Stochastic Approximation yk+1 − yk ηk+1 + FM(yk) + PTM(yk)(νk) 2 2 # ≲

Reference 41

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T19:59:24.512197Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-08T19:59:24.388261Z digest=sha256:da4faca807997339e379ae79236b5437cdd2b01d3d2e24926b4664f8682b3acf

Pith citing papers

Observation 766abf08-85df-481b-9587-674c8419052c · inbound

Online Statistical Inference of Constrained Stochastic Optimization via Random Scaling cites this paper.

Online Statistical Inference of Constrained Stochastic Optimization via Random Scaling Online Covariance Estimation in Nonsmooth Stochastic Approximation

Reference 2023

Resolution
unresolved
no resolver link, observed 2026-08-07T14:39:53.421382Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T14:39:53.421382Z digest=sha256:38ba663207a4fbf2fcba51a84178d68d0ac3040974d0e431fc19d75fbb716abc

Observation c65e87eb-e958-45ae-9ff8-931db9186c91 · inbound

Online Covariance Estimation in Averaged SGD: Improved Batch-Mean Rates and Minimax Optimality via Trajectory Regression cites this paper.

Online Covariance Estimation in Averaged SGD: Improved Batch-Mean Rates and Minimax Optimality via Trajectory Regression Online Covariance Estimation in Nonsmooth Stochastic Approximation

Reference 5

Resolution
verified exact
arxiv_id, observed 2026-05-11T10:16:08.091270Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-10T15:33:52.700578Z digest=sha256:92a7ae3dbc2b326b66ee66b53a2f8f4d239f4316d32305b19152064b20feeaf4