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

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measured 41 of 41 reference resolution

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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 2026-08-10T06:31:04.303077+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

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

Reference resolution

41 of 41 outbound references displayed

verified exact1
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

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T19:59:25.018562Z

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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

Resolution: unresolved; no resolver link, observed 2026-08-08T19:59:24.203647Z

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Unavailable: canonical work link unavailable.

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

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T19:59:24.993583Z

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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

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T19:59:24.979217Z

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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

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T19:59:24.964983Z

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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

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T19:59:24.950212Z

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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

Resolution: unresolved; no resolver link, observed 2026-08-08T19:59:24.232239Z

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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

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T19:59:24.935865Z

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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

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T19:59:24.921938Z

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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

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T19:59:24.906990Z

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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

Resolution: unresolved; no resolver link, observed 2026-08-08T19:59:24.248876Z

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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

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T19:59:24.892788Z

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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

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T19:59:24.875697Z

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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

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T19:59:24.860564Z

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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

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T19:59:24.846796Z

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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

Resolution: verified exact; local_arxiv, observed 2026-08-08T19:59:24.466168Z

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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

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T19:59:24.833380Z

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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

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T19:59:24.820838Z

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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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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

Resolution: unresolved; no resolver link, observed 2026-08-08T19:59:24.292143Z

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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

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T19:59:24.807634Z

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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

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T19:59:24.793528Z

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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

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T19:59:24.778651Z

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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

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T19:59:24.762840Z

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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

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T19:59:24.747109Z

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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

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T19:59:24.730399Z

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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

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T19:59:24.713936Z

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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

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T19:59:24.699601Z

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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

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T19:59:24.685308Z

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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

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T19:59:24.670511Z

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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

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T19:59:24.655111Z

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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

Resolution: unresolved; no resolver link, observed 2026-08-08T19:59:24.347059Z

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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

Resolution: malformed identifier; raw_fallback, observed 2026-08-08T19:59:24.629232Z

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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

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T19:59:24.614204Z

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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

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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

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

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Online Covariance Estimation in Nonsmooth Stochastic Approximation Unresolved cited work

Reference 37

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

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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

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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

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

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Online Covariance Estimation in Nonsmooth Stochastic Approximation Unresolved cited work

Reference 40

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

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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

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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.

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

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.