Paper Citation Record · LEDGER

Convergence of Momentum-Based Optimization Algorithms with Time-Varying Parameters

As of 9 August 2026, this Paper Citation Record lists 35 of 35 outbound references and 2 inbound Pith citation observations for arXiv:2506.11904.

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

pith.paper-citation-record.v1
2506.11904 v2

Coverage vector

measured 35 of 35 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T01:12:05.467323Z

measured 37 of 37 standing notices

One-hop event checks from named stored sources.

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 2026-08-03T10:09:37.358719Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-21T15:40:18.919124Z

Reference resolution

35 of 35 outbound references displayed

verified exact3
verified fuzzy26
unresolved6
parse uncertain0
malformed identifier0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 054d502e-7282-4c11-8e42-559ce8ff957b · outbound

This paper cites Convergence rates for the heavy-ball continuous dynamics for non-convex opti mization, under polyak–lojasiewicz condition.

Convergence of Momentum-Based Optimization Algorithms with Time-Varying Parameters Convergence rates for the heavy-ball continuous dynamics for non-convex opti mization, under polyak–lojasiewicz condition

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T01:12:09.168287Z

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.

Observation b7e2808a-1158-49cd-b4c4-4b338bce920f · outbound

This paper cites Duchi, Dylan J.

Convergence of Momentum-Based Optimization Algorithms with Time-Varying Parameters Duchi, Dylan J

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T01:12:09.089300Z

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.

Observation af09f60f-5c55-4bf8-85b2-a91e89dd4230 · outbound

This paper cites Optimal co nvergence rates for nesterov acceleration.

Convergence of Momentum-Based Optimization Algorithms with Time-Varying Parameters Optimal co nvergence rates for nesterov acceleration

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T01:12:09.028881Z

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.

Observation 70b1c1cb-c8d6-4753-abea-05cf3353da94 · outbound

This paper cites Convergen ce rates of the heavy-ball method under the lojasiewicz property.

Convergence of Momentum-Based Optimization Algorithms with Time-Varying Parameters Convergen ce rates of the heavy-ball method under the lojasiewicz property

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T01:12:08.952357Z

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.

Observation 54c33e5f-fc60-41d9-aacc-0f0e665dd15a · outbound

This paper cites Advances in optimizing recurrent networks.

Convergence of Momentum-Based Optimization Algorithms with Time-Varying Parameters Advances in optimizing recurrent networks

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T01:12:08.860406Z

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.

Observation 98ca827d-d184-41fd-82a5-5b11f07e5660 · outbound

This paper cites Adaptive Algorithms and Stochastic Approximation.

Convergence of Momentum-Based Optimization Algorithms with Time-Varying Parameters Adaptive Algorithms and Stochastic Approximation

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T01:12:08.775739Z

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.

Observation fe52778f-b4f1-495f-807b-b8fa1154c909 · outbound

This paper cites Bertsekas and John N.

Convergence of Momentum-Based Optimization Algorithms with Time-Varying Parameters Bertsekas and John N

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T01:12:08.695770Z

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.

Observation c86c4c4f-d7ef-4b72-8405-c89854d402b5 · outbound

This paper cites an unresolved cited work.

Convergence of Momentum-Based Optimization Algorithms with Time-Varying Parameters Unresolved cited work

Reference 8

Resolution: unresolved; raw_fallback, observed 2026-08-07T01:12:08.628254Z

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.

Observation 04e40db5-16b9-4f9d-a02f-feb51310a95d · outbound

This paper cites Curtis, and Jorge Nocedal.

Convergence of Momentum-Based Optimization Algorithms with Time-Varying Parameters Curtis, and Jorge Nocedal

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T01:12:08.570042Z

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.

Observation 61769dba-1d7c-44f7-b129-bbab85b64590 · outbound

This paper cites Probability: Theory and Examples (5th Edition).

Convergence of Momentum-Based Optimization Algorithms with Time-Varying Parameters Probability: Theory and Examples (5th Edition)

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T01:12:08.501865Z

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.

Observation 5b7f1289-8b03-4f95-a51a-83379376ef6c · outbound

This paper cites Convergence of sequences: a survey.

Convergence of Momentum-Based Optimization Algorithms with Time-Varying Parameters Convergence of sequences: a survey

Reference 11

Resolution: verified exact; local_arxiv, observed 2026-08-07T01:12:05.920228Z

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.

Observation 2b31fe28-6a34-4460-8e7f-ce47215c01f5 · outbound

This paper cites Elec- tronic Journal of Statistics , 12:461–529, 2018.

Convergence of Momentum-Based Optimization Algorithms with Time-Varying Parameters Elec- tronic Journal of Statistics , 12:461–529, 2018

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T01:12:08.436595Z

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.

Observation 096ba5ae-e4f6-4c50-a25e-01b35fed5135 · outbound

This paper cites Global con- vergence of the heavy-ball method for convex optimization.In Proceedings of the 2015 European Control Conference, pages 311–316, 2015.

Convergence of Momentum-Based Optimization Algorithms with Time-Varying Parameters Global con- vergence of the heavy-ball method for convex optimization.In Proceedings of the 2015 European Control Conference, pages 311–316, 2015

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T01:12:08.349875Z

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.

Observation 952c4a09-6601-4e2f-9ec5-5dda7320aafb · outbound

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

Convergence of Momentum-Based Optimization Algorithms with Time-Varying Parameters Convergence Rates for Stochastic Approximation: Biased Noise with Unbounded Variance, and Applications

Reference 14

Resolution: verified exact; local_arxiv, observed 2026-08-07T01:12:05.772824Z

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.

Observation 0ee7c374-ac4d-401c-a271-396fc7534777 · outbound

This paper cites Karandikar and M.

Convergence of Momentum-Based Optimization Algorithms with Time-Varying Parameters Karandikar and M

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T01:12:08.267955Z

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.

Observation ec7ff30e-fe1f-4e1d-8d31-74728742e939 · outbound

This paper cites Linear co nvergence of gradient and proximal-gradient methods under the polyak- lojasiewicz c ondition.

Convergence of Momentum-Based Optimization Algorithms with Time-Varying Parameters Linear co nvergence of gradient and proximal-gradient methods under the polyak- lojasiewicz c ondition

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T01:12:08.195204Z

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.

Observation a3baffcf-3355-4b87-8710-9b168a894330 · outbound

This paper cites Better Theory for SGD in the Nonconvex World.

Convergence of Momentum-Based Optimization Algorithms with Time-Varying Parameters Better Theory for SGD in the Nonconvex World

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-07T01:12:03.847661Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 17a15e37-6b0a-4113-ac18-f35db349986a · outbound

This paper cites Kiefer and J.

Convergence of Momentum-Based Optimization Algorithms with Time-Varying Parameters Kiefer and J

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T01:12:08.082642Z

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.

Observation d3f24b81-75ea-4025-ace6-ba31762eee4c · outbound

This paper cites an unresolved cited work.

Convergence of Momentum-Based Optimization Algorithms with Time-Varying Parameters Unresolved cited work

Reference 19

Resolution: unresolved; raw_fallback, observed 2026-08-07T01:12:07.977862Z

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.

Observation 0d4a68f0-4d53-4e91-9a4b-ffb5eab22695 · outbound

This paper cites On almost sure convergence rates of s tochastic gradient meth- ods.

Convergence of Momentum-Based Optimization Algorithms with Time-Varying Parameters On almost sure convergence rates of s tochastic gradient meth- ods

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T01:12:07.891133Z

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.

Observation 81804bfe-3ad5-4211-9f49-aa06b39a6bb7 · outbound

This paper cites A method for unconstrained convex mini mization problem with the rate of convergence o(1/k2)n (in russian).

Convergence of Momentum-Based Optimization Algorithms with Time-Varying Parameters A method for unconstrained convex mini mization problem with the rate of convergence o(1/k2)n (in russian)

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T01:12:07.768308Z

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.

Observation 99c9dc8d-8a99-44b4-9dcd-39cbc436379b · outbound

This paper cites Introductory Lectures on Convex Optimization: A Basic Cour se, vol- ume 87.

Convergence of Momentum-Based Optimization Algorithms with Time-Varying Parameters Introductory Lectures on Convex Optimization: A Basic Cour se, vol- ume 87

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T01:12:07.700265Z

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.

Observation 93be895e-28b9-418b-86a0-939578b0b754 · outbound

This paper cites Random Gradient -Free Minimization of Con- vex Functions.

Convergence of Momentum-Based Optimization Algorithms with Time-Varying Parameters Random Gradient -Free Minimization of Con- vex Functions

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T01:12:07.571070Z

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.

Observation 36c9779d-4375-4b08-8883-5c69aa4186dd · outbound

This paper cites an unresolved cited work.

Convergence of Momentum-Based Optimization Algorithms with Time-Varying Parameters Unresolved cited work

Reference 24

Resolution: unresolved; raw_fallback, observed 2026-08-07T01:12:07.485006Z

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.

Observation 1e6f9141-c10d-4ee3-a94e-1da75e4d34de · outbound

This paper cites an unresolved cited work.

Convergence of Momentum-Based Optimization Algorithms with Time-Varying Parameters Unresolved cited work

Reference 25

Resolution: unresolved; raw_fallback, observed 2026-08-07T01:12:07.360856Z

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.

Observation c632aa4f-fab2-4cd5-9541-6ad23bd7e258 · outbound

This paper cites Convergence of the Stochastic Heavy Ball Method With Approximate Gradients and/or Block Updating.

Convergence of Momentum-Based Optimization Algorithms with Time-Varying Parameters Convergence of the Stochastic Heavy Ball Method With Approximate Gradients and/or Block Updating

Reference 26

Resolution: verified exact; local_arxiv, observed 2026-08-07T01:12:05.647301Z

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.

Observation 4ce6d833-f4dc-441b-a7b9-8bd8e279369a · outbound

This paper cites Robbins and D.

Convergence of Momentum-Based Optimization Algorithms with Time-Varying Parameters Robbins and D

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T01:12:07.205957Z

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.

Observation f92ef4f3-908b-4f93-ac25-5a6e9034ac5d · outbound

This paper cites A stochastic approxi mation method.

Convergence of Momentum-Based Optimization Algorithms with Time-Varying Parameters A stochastic approxi mation method

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T01:12:07.033954Z

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.

Observation 2e2f56c5-375b-43e8-8c26-584396a78579 · outbound

This paper cites Sadegh and J.

Convergence of Momentum-Based Optimization Algorithms with Time-Varying Parameters Sadegh and J

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T01:12:06.863370Z

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.

Observation 86891e25-c700-414a-a26e-9258bb70709f · outbound

This paper cites Alm ost sure convergence rates for stochastic gradient descent and stochastic heavy ball.

Convergence of Momentum-Based Optimization Algorithms with Time-Varying Parameters Alm ost sure convergence rates for stochastic gradient descent and stochastic heavy ball

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T01:12:06.655199Z

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.

Observation 95dbebe7-f8a9-45f6-bf8e-7b77f1804d17 · outbound

This paper cites A Unified Analysis of AdaGrad with Weighted Aggregation and Momentum Acceleration.

Convergence of Momentum-Based Optimization Algorithms with Time-Varying Parameters A Unified Analysis of AdaGrad with Weighted Aggregation and Momentum Acceleration

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-07T01:12:05.153233Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6d1d7030-f2cc-46d2-8329-f98551870fde · outbound

This paper cites Cand` es.

Convergence of Momentum-Based Optimization Algorithms with Time-Varying Parameters Cand` es

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T01:12:06.506221Z

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.

Observation 076c119a-73eb-494f-b7d4-b7d14d359d58 · outbound

This paper cites On the impor- tance of initialization and momentum in deep learning.

Convergence of Momentum-Based Optimization Algorithms with Time-Varying Parameters On the impor- tance of initialization and momentum in deep learning

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T01:12:06.368104Z

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.

Observation c010d7db-5b31-465b-8c87-3e94550f345c · outbound

This paper cites Probability with Martingagles.

Convergence of Momentum-Based Optimization Algorithms with Time-Varying Parameters Probability with Martingagles

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T01:12:06.235123Z

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.

Observation 78f0e9cc-b134-476e-9d02-17fa052cea7e · outbound

This paper cites A u niﬁed analysis of stochastic momentum methods for deep learning.

Convergence of Momentum-Based Optimization Algorithms with Time-Varying Parameters A u niﬁed analysis of stochastic momentum methods for deep learning

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T01:12:06.082618Z

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.

Pith citing papers

Observation e1706754-4a55-4414-bac0-aacdabb6da2e · inbound

On the Provable Suboptimality of Momentum SGD in Nonstationary Stochastic Optimization cites this paper.

On the Provable Suboptimality of Momentum SGD in Nonstationary Stochastic Optimization Convergence of Momentum-Based Optimization Algorithms with Time-Varying Parameters

Reference 15

Resolution: verified exact; arxiv_id, observed 2026-05-21T15:40:18.921370Z

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.

Observation 37928eef-277d-4429-8c2a-57cac295bbdb · inbound

On the Provable Suboptimality of Momentum SGD in Nonstationary Stochastic Optimization cites this paper.

On the Provable Suboptimality of Momentum SGD in Nonstationary Stochastic Optimization Convergence of Momentum-Based Optimization Algorithms with Time-Varying Parameters

Reference 2025

Resolution: unresolved; no resolver link, observed 2026-08-03T10:09:37.358719Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.