Paper Citation Record · LEDGER

Online Statistical Inference of Constrained Stochastic Optimization via Random Scaling

As of 15 August 2026, this Paper Citation Record lists 13 of 13 outbound references and 0 inbound Pith citation observations for arXiv:2505.18327.

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

pith.paper-citation-record.v1
2505.18327 v1

Coverage vector

measured 13 of 13 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T14:39:54.176226Z

measured 13 of 13 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

13 of 13 outbound references displayed

verified exact0
verified fuzzy3
unresolved9
parse uncertain0
malformed identifier1
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation a8d2253b-84fc-4312-98e8-509aa7e51c1c · outbound

This paper cites   τY j=1 (I−K ⋆Sj(S⊤ j (K⋆)2Sj)†S⊤ j K⋆)     τY j=1 (I−K ⋆Sj(S⊤ j (K⋆)2Sj)†S⊤ j K⋆)   ⊤ # =∥Ξ ⋆∥ ·E.

Online Statistical Inference of Constrained Stochastic Optimization via Random Scaling   τY j=1 (I−K ⋆Sj(S⊤ j (K⋆)2Sj)†S⊤ j K⋆)     τY j=1 (I−K ⋆Sj(S⊤ j (K⋆)2Sj)†S⊤ j K⋆)   ⊤ # =∥Ξ ⋆∥ ·E

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:39:54.964678Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 66a76629-5f8c-493f-aab0-566192ed307c · outbound

This paper cites Online Statistical Inference for Nonlinear Stochastic Approximation with Markovian Data.

Online Statistical Inference of Constrained Stochastic Optimization via Random Scaling Online Statistical Inference for Nonlinear Stochastic Approximation with Markovian Data

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-07T14:39:53.639616Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 12c5ef7f-85d5-41b6-b8ff-54022e493d3e · outbound

This paper cites Covariance Estimators for the ROOT-SGD Algorithm in Online Learning.

Online Statistical Inference of Constrained Stochastic Optimization via Random Scaling Covariance Estimators for the ROOT-SGD Algorithm in Online Learning

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-07T14:39:53.719023Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation be392a6e-7f86-4bda-a273-07075af5a643 · outbound

This paper cites (c) The first result follows from the independence among {St,j}j, and the second result is from (Na and Mahoney, 2025, Corollary 5.4).

Online Statistical Inference of Constrained Stochastic Optimization via Random Scaling (c) The first result follows from the independence among {St,j}j, and the second result is from (Na and Mahoney, 2025, Corollary 5.4)

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:39:55.103309Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 2f878a3e-f72c-4d35-89a8-e44d325d59e5 · outbound

This paper cites Combining the above two displays and plugging into (C.10), we complete the proof.

Online Statistical Inference of Constrained Stochastic Optimization via Random Scaling Combining the above two displays and plugging into (C.10), we complete the proof

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:39:54.808645Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 401fdc66-1e75-4a7d-a082-9815332003a5 · outbound

This paper cites an unresolved cited work.

Online Statistical Inference of Constrained Stochastic Optimization via Random Scaling Unresolved cited work

Reference 20

Resolution: malformed identifier; raw_fallback, observed 2026-08-07T14:39:54.400662Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 761cd0d0-d85c-4036-97d6-439c75721295 · outbound

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

Online Statistical Inference of Constrained Stochastic Optimization via Random Scaling Online covariance estimation for stochastic gradient descent under Markovian sampling

Reference 1951

Resolution: unresolved; no resolver link, observed 2026-08-07T14:39:53.795630Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 263b94d1-04b5-4e9b-bcf6-a7492b4f8b9a · outbound

This paper cites an unresolved cited work.

Online Statistical Inference of Constrained Stochastic Optimization via Random Scaling Unresolved cited work

Reference 1997

Resolution: unresolved; raw_fallback, observed 2026-08-07T14:39:55.576941Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 3d5632ef-db73-40ce-b49e-cbe84a42e6c4 · outbound

This paper cites Weighted Averaged Stochastic Gradient Descent: Asymptotic Normality and Optimality.

Online Statistical Inference of Constrained Stochastic Optimization via Random Scaling Weighted Averaged Stochastic Gradient Descent: Asymptotic Normality and Optimality

Reference 2008

Resolution: unresolved; no resolver link, observed 2026-08-07T14:39:53.879939Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4a6085d1-254c-4b6b-ab17-8e93a33b19f1 · outbound

This paper cites Online Covariance Matrix Estimation in Sketched Newton Methods.

Online Statistical Inference of Constrained Stochastic Optimization via Random Scaling Online Covariance Matrix Estimation in Sketched Newton Methods

Reference 2014

Resolution: unresolved; no resolver link, observed 2026-08-07T14:39:53.555761Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f7bfc5ae-f41a-4371-a2c4-0cb91f71f00e · outbound

This paper cites an unresolved cited work.

Online Statistical Inference of Constrained Stochastic Optimization via Random Scaling Unresolved cited work

Reference 2016

Resolution: unresolved; raw_fallback, observed 2026-08-07T14:39:55.453601Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 275f4b9f-b402-49f4-981b-bf7ec173de8c · outbound

This paper cites an unresolved cited work.

Online Statistical Inference of Constrained Stochastic Optimization via Random Scaling Unresolved cited work

Reference 2018

Resolution: unresolved; raw_fallback, observed 2026-08-07T14:39:55.243045Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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

This paper cites Online Covariance Estimation in Nonsmooth Stochastic Approximation.

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.

Pith citing papers

No inbound Pith citation observations are available.