Paper Citation Record · LEDGER

Convergence Rate in Nonlinear Two-Time-Scale Stochastic Approximation with State (Time)-Dependence

As of 10 August 2026, this Paper Citation Record lists 34 of 34 outbound references and 0 inbound Pith citation observations for arXiv:2509.11039.

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

pith.paper-citation-record.v1
2509.11039 v1

Coverage vector

measured 34 of 34 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-04T17:25:27.139855Z

measured 34 of 34 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-10T06:31:04.303077+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

34 of 34 outbound references displayed

verified exact0
verified fuzzy0
unresolved34
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation ca9210fb-d75d-4c31-bb5f-bc8b43983dee · outbound

This paper cites , " * write output.state after.block = add.period write newline.

Convergence Rate in Nonlinear Two-Time-Scale Stochastic Approximation with State (Time)-Dependence , " * write output.state after.block = add.period write newline

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-04T17:25:27.041903Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7fd2968f-90fb-40f4-bf2a-80c41fee36ca · outbound

This paper cites write newline.

Convergence Rate in Nonlinear Two-Time-Scale Stochastic Approximation with State (Time)-Dependence write newline

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-04T17:25:27.045388Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 206a538d-044d-4886-89ea-be4720be4eeb · outbound

This paper cites an unresolved cited work.

Convergence Rate in Nonlinear Two-Time-Scale Stochastic Approximation with State (Time)-Dependence Unresolved cited work

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-04T17:25:27.049095Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fbb3fbf9-239e-4e47-b4d6-bdf173b1b23f · outbound

This paper cites an unresolved cited work.

Convergence Rate in Nonlinear Two-Time-Scale Stochastic Approximation with State (Time)-Dependence Unresolved cited work

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-04T17:25:27.052154Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 24003115-a052-4b17-b32b-4c529c7aa0a5 · outbound

This paper cites an unresolved cited work.

Convergence Rate in Nonlinear Two-Time-Scale Stochastic Approximation with State (Time)-Dependence Unresolved cited work

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-04T17:25:27.055400Z

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Observation 0310fc64-2dc4-4e01-b5a0-d4d64a100547 · outbound

This paper cites E.; and Nocedal, J.

Convergence Rate in Nonlinear Two-Time-Scale Stochastic Approximation with State (Time)-Dependence E.; and Nocedal, J

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-04T17:25:27.058344Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ef5081f8-0482-4f52-bb35-a31adb0b017d · outbound

This paper cites D.; Tong, X.

Convergence Rate in Nonlinear Two-Time-Scale Stochastic Approximation with State (Time)-Dependence D.; Tong, X

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-04T17:25:27.061636Z

Source-reported events for the cited work

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Observation 92c118e5-2d27-4bb1-a24c-a9ff1417c9c6 · outbound

This paper cites an unresolved cited work.

Convergence Rate in Nonlinear Two-Time-Scale Stochastic Approximation with State (Time)-Dependence Unresolved cited work

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-04T17:25:27.064702Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation eca6a81b-90fd-43d2-9e62-e8ef84ec4a35 · outbound

This paper cites an unresolved cited work.

Convergence Rate in Nonlinear Two-Time-Scale Stochastic Approximation with State (Time)-Dependence Unresolved cited work

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-04T17:25:27.067907Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e8e7ed55-86c6-4f8f-890f-5175d9b5248e · outbound

This paper cites Fast Nonlinear Two-Time-Scale Stochastic Approximation: Achieving $O(1/k)$ Finite-Sample Complexity.

Convergence Rate in Nonlinear Two-Time-Scale Stochastic Approximation with State (Time)-Dependence Fast Nonlinear Two-Time-Scale Stochastic Approximation: Achieving $O(1/k)$ Finite-Sample Complexity

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-04T17:25:27.070697Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b57612c7-7aa6-4df4-bfb4-69f353197397 · outbound

This paper cites an unresolved cited work.

Convergence Rate in Nonlinear Two-Time-Scale Stochastic Approximation with State (Time)-Dependence Unresolved cited work

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-04T17:25:27.073897Z

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Observation 39c945c5-c22a-422a-9fc4-c4701b86d681 · outbound

This paper cites an unresolved cited work.

Convergence Rate in Nonlinear Two-Time-Scale Stochastic Approximation with State (Time)-Dependence Unresolved cited work

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-04T17:25:27.076756Z

Source-reported events for the cited work

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Observation 1c253397-f4b4-41e1-910b-ff9836e2bbec · outbound

This paper cites an unresolved cited work.

Convergence Rate in Nonlinear Two-Time-Scale Stochastic Approximation with State (Time)-Dependence Unresolved cited work

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-04T17:25:27.079648Z

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Unavailable: canonical work link unavailable.

Observation 9181c8b9-5a6a-465a-bbd0-284ef28115e3 · outbound

This paper cites Finite-Time Decoupled Convergence in Nonlinear Two-Time-Scale Stochastic Approximation.

Convergence Rate in Nonlinear Two-Time-Scale Stochastic Approximation with State (Time)-Dependence Finite-Time Decoupled Convergence in Nonlinear Two-Time-Scale Stochastic Approximation

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-04T17:25:27.082357Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e72cbe7f-475e-4a41-8a2f-f64db8f1af49 · outbound

This paper cites an unresolved cited work.

Convergence Rate in Nonlinear Two-Time-Scale Stochastic Approximation with State (Time)-Dependence Unresolved cited work

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-04T17:25:27.085665Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8e61f78b-c50b-4bae-839f-479fdb6b82f4 · outbound

This paper cites Central Limit Theorem for Two-Timescale Stochastic Approximation with Markovian Noise: Theory and Applications.

Convergence Rate in Nonlinear Two-Time-Scale Stochastic Approximation with State (Time)-Dependence Central Limit Theorem for Two-Timescale Stochastic Approximation with Markovian Noise: Theory and Applications

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-04T17:25:27.088343Z

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Unavailable: canonical work link unavailable.

Observation 8ec447c3-625f-40f8-9f06-4190d1afcfb0 · outbound

This paper cites Accelerated stochastic approximation with state-dependent noise.

Convergence Rate in Nonlinear Two-Time-Scale Stochastic Approximation with State (Time)-Dependence Accelerated stochastic approximation with state-dependent noise

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-04T17:25:27.091181Z

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Observation 7a35a043-e449-42ad-8d6c-f97c500accd0 · outbound

This paper cites an unresolved cited work.

Convergence Rate in Nonlinear Two-Time-Scale Stochastic Approximation with State (Time)-Dependence Unresolved cited work

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-04T17:25:27.094075Z

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Unavailable: canonical work link unavailable.

Observation 8301c0e2-24c6-4a4b-b344-457254590b2f · outbound

This paper cites Convergence Rates for Stochastic Approximation: Biased Noise with Unbounded Variance, and Applications.

Convergence Rate in Nonlinear Two-Time-Scale Stochastic Approximation with State (Time)-Dependence Convergence Rates for Stochastic Approximation: Biased Noise with Unbounded Variance, and Applications

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-04T17:25:27.096769Z

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Unavailable: canonical work link unavailable.

Observation 2f808ad7-43ba-48ee-a714-d3146caf8ace · outbound

This paper cites T.; Romberg, J.; and Maguluri, S.

Convergence Rate in Nonlinear Two-Time-Scale Stochastic Approximation with State (Time)-Dependence T.; Romberg, J.; and Maguluri, S

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-04T17:25:27.099876Z

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Unavailable: canonical work link unavailable.

Observation 99601bd4-9bc1-48e9-bfaa-83833cb21e32 · outbound

This paper cites R.; and Tsitsiklis, J.

Convergence Rate in Nonlinear Two-Time-Scale Stochastic Approximation with State (Time)-Dependence R.; and Tsitsiklis, J

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-04T17:25:27.102804Z

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Observation bed0e8cc-603f-4d85-82b0-478c21926b89 · outbound

This paper cites an unresolved cited work.

Convergence Rate in Nonlinear Two-Time-Scale Stochastic Approximation with State (Time)-Dependence Unresolved cited work

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-04T17:25:27.105724Z

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Observation 2b908f74-cdca-4d2d-8b44-11c93a693b2d · outbound

This paper cites an unresolved cited work.

Convergence Rate in Nonlinear Two-Time-Scale Stochastic Approximation with State (Time)-Dependence Unresolved cited work

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-04T17:25:27.108594Z

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Observation defa102b-fca0-43fb-a1f9-fc722b17d514 · outbound

This paper cites an unresolved cited work.

Convergence Rate in Nonlinear Two-Time-Scale Stochastic Approximation with State (Time)-Dependence Unresolved cited work

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-04T17:25:27.111399Z

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Observation 33807b7b-b77b-4576-bfca-ace390f170bd · outbound

This paper cites T.; and Juditsky, A.

Convergence Rate in Nonlinear Two-Time-Scale Stochastic Approximation with State (Time)-Dependence T.; and Juditsky, A

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-04T17:25:27.114620Z

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Observation 4abf86f2-05fe-4eb6-843d-808338a357f0 · outbound

This paper cites an unresolved cited work.

Convergence Rate in Nonlinear Two-Time-Scale Stochastic Approximation with State (Time)-Dependence Unresolved cited work

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-04T17:25:27.117489Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d83c3af1-aa5b-42d8-811c-f309ae954517 · outbound

This paper cites an unresolved cited work.

Convergence Rate in Nonlinear Two-Time-Scale Stochastic Approximation with State (Time)-Dependence Unresolved cited work

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-04T17:25:27.120394Z

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Observation ce0136ad-53f7-410f-81b5-752fc00dfb94 · outbound

This paper cites M.; and Defazio, A.

Convergence Rate in Nonlinear Two-Time-Scale Stochastic Approximation with State (Time)-Dependence M.; and Defazio, A

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-04T17:25:27.123070Z

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Observation 9a71ed66-28a0-413b-98bb-539f504ce783 · outbound

This paper cites an unresolved cited work.

Convergence Rate in Nonlinear Two-Time-Scale Stochastic Approximation with State (Time)-Dependence Unresolved cited work

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-04T17:25:27.126097Z

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Observation 59f171da-aeea-4fc0-a9c8-5fcd4e2bea7a · outbound

This paper cites S.; Maei, H.

Convergence Rate in Nonlinear Two-Time-Scale Stochastic Approximation with State (Time)-Dependence S.; Maei, H

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-04T17:25:27.128843Z

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Observation fa8f6412-a7d0-46f3-9352-4283da72664d · outbound

This paper cites S.; Szepesv \'a ri, C.; and Maei, H.

Convergence Rate in Nonlinear Two-Time-Scale Stochastic Approximation with State (Time)-Dependence S.; Szepesv \'a ri, C.; and Maei, H

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-04T17:25:27.131644Z

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Observation 6dff7a7a-1865-4347-988a-b1c66369925a · outbound

This paper cites F.; Zhang, W.; Xu, P.; and Gu, Q.

Convergence Rate in Nonlinear Two-Time-Scale Stochastic Approximation with State (Time)-Dependence F.; Zhang, W.; Xu, P.; and Gu, Q

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-04T17:25:27.134471Z

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Observation 75437600-b538-45d2-a8a2-57478eb384ac · outbound

This paper cites an unresolved cited work.

Convergence Rate in Nonlinear Two-Time-Scale Stochastic Approximation with State (Time)-Dependence Unresolved cited work

Reference 33

Resolution: unresolved; no resolver link, observed 2026-08-04T17:25:27.137156Z

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Observation b0810acd-0309-430f-ab9c-42e987900974 · outbound

This paper cites T.; and Romberg, J.

Convergence Rate in Nonlinear Two-Time-Scale Stochastic Approximation with State (Time)-Dependence T.; and Romberg, J

Reference 34

Resolution: unresolved; no resolver link, observed 2026-08-04T17:25:27.139855Z

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Pith citing papers

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