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Paper Citation Record · LEDGER

Online Covariance Estimation in Nonsmooth Stochastic Approximation

As of 21 August 2026, this Paper Citation Record lists 41 of 41 outbound references and 2 inbound Pith citation observations for arXiv:2502.05305.

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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 2026-08-21T06:32:19.484+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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  • malformed identifier2
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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 2026-08-21T06:32:19.484+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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source=pdf_text observed=2026-08-08T19:59:24.232239Z digest=sha256:90e6c28368a1fb368c1ef817ac198143c872b49d89cedd6a2a5d128f613d781d

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=sha256:103a79cd5497f883668396177665a07508cafcab6a82e6c0aa2a92952d9ba05e

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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source=pdf_text observed=2026-08-08T19:59:24.248876Z digest=sha256:9fdc5d28b225bfdda5a5a6bb8b9e457c4b25eb0df859ef5ec73acec9e528a424

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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source=pdf_text observed=2026-08-08T19:59:24.262479Z digest=sha256:223d905224251b26cc27dd852d711b58a6e433c1ead6cf74245618dd849265c1

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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source=pdf_text observed=2026-08-08T19:59:24.272249Z digest=sha256:83e3c99bd258ed0ae40ad88bf7cc238800f6fb8a8fb4ded95ccb428524216980

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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source=pdf_text observed=2026-08-08T19:59:24.277517Z digest=sha256:f6f0b9b5b48ce6937392a25056ff5c0d404e4e1bdb19facc29255abee15d1e5e

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=sha256:9a3eedb383c33e1ce1da7aa565273594704fbcd119976d2a65fc6f825fb435b8

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=sha256:943d0da5842c5fb254d7134b6f2df5fa002737443aab1e6a4d3db6f0631bf2e4

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=sha256:1f60996cdba3b2f2d0672a57687b2f68603da49e539f9dbcaa13b6c42834825a

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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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-08T19:59:24.296989Z digest=sha256:73aa0cde51a5466541f717daeb4c719b242be9d1b1a4bf1f9f87f81633aa397b

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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source=pdf_text observed=2026-08-08T19:59:24.302135Z digest=sha256:bc2fb9be2f2bf41fdf85304b5cc70cb5f8410a5dd5f301afd9b8d4ed65c65c9f

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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source=pdf_text observed=2026-08-08T19:59:24.307149Z digest=sha256:2a977512d73f4cafdfb6d5512a5476961e3dc6dc6ec2e9c145a28fb0ec42cd0f

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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source=pdf_text observed=2026-08-08T19:59:24.312454Z digest=sha256:4a88cb2c834368920390bdc8599e2c6cdcddd0b2bd181d62a1ef6827b9484bf9

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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source=pdf_text observed=2026-08-08T19:59:24.317144Z digest=sha256:5daaaab03d7df6a9696c5e13b36eed828f47554b567192ba8fbf3159ebdd3374

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:c602d677fb1b58962c6a504edf5c7ed336d007ed0644eea0ab280ffbc39e5add

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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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-08T19:59:24.326723Z digest=sha256:711776e89f7f38328fcb9c9505a15ee4e71664ee9c83325e166fb396e620f060

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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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-08T19:59:24.330809Z digest=sha256:ad63e32cb017550649539e48d3ec12e829ffbfb130c0dfd0ea0b8f5eb18f6577

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=sha256:90dd69ad31a54357e9d2e733b007b8fbed95c4b4063ae639483eda0c42a2ed60

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:d5a2da17a968352841f824273d3a44a10af92d4e8fb5f11a9bd0f97b900da0e1

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=sha256:8fc58c334e6428220a33c05aba91154897fbe83ebe5c7974a4e364f58d226562

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=sha256:3c34148cf28931508a24c584459a1598a134ceb754957a3570895ce95842bd54

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:e34b94451c70441d65734d7e0a2eb8c81f910639c4f7cc8c8d266c6a49c69b30

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:eda3f63edf9b440a3df02af9e34a7f2de4143cf110eb9a8080be2fdb60fe603d

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-08T19:59:24.360579Z digest=sha256:4314e1ab5afefa14ca110c658feac2cecfe7ef2d865b68457818ca548a025f2a

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-08T19:59:24.365526Z digest=sha256:6727903d5ae2b3481d30a59112b5f114a47e2e424bb66a7e04fec5a11b990901

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-08T19:59:24.370055Z digest=sha256:0e2287871c2930a8711841e7042db3e0fdba3857087c51948d64cad4bf6dece7

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-08T19:59:24.374378Z digest=sha256:93b6756995a4a473e79e2c150caffd1d4f4b2d49c01be196b2c31bd9cb3bee02

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-08T19:59:24.378709Z digest=sha256:d510a0ef5e6f77377b361761a2d610e7489b1931a7a8906a325917b0f6dcc48e

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-08T19:59:24.383207Z digest=sha256:4c43f50dd58d089c627e78f6e4acad593924d43c87ef2d98a4dee83acf4fccf7

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-08T19:59:24.388261Z digest=sha256:255562f71576e6340f50f8a9ba72ef869d8209735893e0fa30ac614f7956c792

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=sha256:2edd4eae4313023535a4ef772f592ec1a093770a3f09ef1ebd02d0ee635e9523

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-05-10T15:33:52.700578Z digest=sha256:36c157574013b74829e9df4a76de26672667e4505a887e35532d660b540a9660