Paper Citation Record · LEDGER

Dual Averaging Converges for Nonconvex Smooth Stochastic Optimization

As of 7 August 2026, this Paper Citation Record lists 38 of 38 outbound references and 2 inbound Pith citation observations for arXiv:2505.21394.

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

pith.paper-citation-record.v1
2505.21394 v1

Coverage vector

measured 38 of 38 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T13:47:36.500832Z

measured 40 of 40 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-06-26T10:25:20.703566Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-04T09:09:43.440877Z

Reference resolution

38 of 38 outbound references displayed

verified exact0
verified fuzzy16
unresolved22
parse uncertain0
malformed identifier0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 6dda2b9d-86e2-45c5-9708-395a52f00bb5 · outbound

This paper cites an unresolved cited work.

Dual Averaging Converges for Nonconvex Smooth Stochastic Optimization Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:47:42.149284Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 2e776b27-5164-4182-84bc-26afbc470a7d · outbound

This paper cites an unresolved cited work.

Dual Averaging Converges for Nonconvex Smooth Stochastic Optimization Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:47:41.968126Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation cf671233-1428-4ae6-8536-cd3921cfae68 · outbound

This paper cites Bottou, F.

Dual Averaging Converges for Nonconvex Smooth Stochastic Optimization Bottou, F

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-07T13:47:33.109619Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5ce07062-cd25-4f8d-8f94-9027dd954725 · outbound

This paper cites Heavy-tailed noise does not explain the gap between sgd and adam on transformers.

Dual Averaging Converges for Nonconvex Smooth Stochastic Optimization Heavy-tailed noise does not explain the gap between sgd and adam on transformers

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:47:41.842225Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 28f39f07-fc34-4fea-8f14-ebdb7e0d6540 · outbound

This paper cites Chen and E.

Dual Averaging Converges for Nonconvex Smooth Stochastic Optimization Chen and E

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:47:41.723026Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 09311a0f-7bfe-4be0-b0a7-8feeabf661b7 · outbound

This paper cites an unresolved cited work.

Dual Averaging Converges for Nonconvex Smooth Stochastic Optimization Unresolved cited work

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:47:41.577312Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 6bef69b2-f290-42ef-a975-9935345f208e · outbound

This paper cites Cutkosky.

Dual Averaging Converges for Nonconvex Smooth Stochastic Optimization Cutkosky

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:47:41.375369Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 33800d21-6ba4-4a71-b3b9-1fc85784c758 · outbound

This paper cites an unresolved cited work.

Dual Averaging Converges for Nonconvex Smooth Stochastic Optimization Unresolved cited work

Reference 8

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:47:41.171228Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation f147e811-828e-4886-80fe-3d8a1e934b60 · outbound

This paper cites Ghadimi and G.

Dual Averaging Converges for Nonconvex Smooth Stochastic Optimization Ghadimi and G

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:47:41.015674Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation d46d79e1-2252-4c5d-ab32-d7913547455f · outbound

This paper cites an unresolved cited work.

Dual Averaging Converges for Nonconvex Smooth Stochastic Optimization Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:47:40.833971Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation c887884d-3fb2-45cc-9bd7-8c3205a0a29e · outbound

This paper cites Stochastic approximation and recursive algorithm and applications.

Dual Averaging Converges for Nonconvex Smooth Stochastic Optimization Stochastic approximation and recursive algorithm and applications

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:47:40.637624Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation fdf91518-6cbe-4e2b-87f0-d6fd77fd462e · outbound

This paper cites Hazan and S.

Dual Averaging Converges for Nonconvex Smooth Stochastic Optimization Hazan and S

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:47:40.035098Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation b690e37b-96de-4fd4-b094-28deae63bd69 · outbound

This paper cites an unresolved cited work.

Dual Averaging Converges for Nonconvex Smooth Stochastic Optimization Unresolved cited work

Reference 13

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:47:39.522175Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation e8d14c2d-9bae-4ede-b000-c1418c62aa86 · outbound

This paper cites Dual Averaging is Surprisingly Effective for Deep Learning Optimization.

Dual Averaging Converges for Nonconvex Smooth Stochastic Optimization Dual Averaging is Surprisingly Effective for Deep Learning Optimization

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-07T13:47:34.257799Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ecb4dc03-0f36-4ffd-b22f-0c537d63a2ef · outbound

This paper cites Li and F.

Dual Averaging Converges for Nonconvex Smooth Stochastic Optimization Li and F

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:47:39.349247Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation ee894bec-c398-466f-8297-5b58d5568e4d · outbound

This paper cites an unresolved cited work.

Dual Averaging Converges for Nonconvex Smooth Stochastic Optimization Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:47:39.118098Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 253939a8-f227-41af-9918-8f9276ae2833 · outbound

This paper cites an unresolved cited work.

Dual Averaging Converges for Nonconvex Smooth Stochastic Optimization Unresolved cited work

Reference 17

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:47:38.933217Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 2c04a29c-f4ac-43bd-bfa0-5d5a9bf75683 · outbound

This paper cites an unresolved cited work.

Dual Averaging Converges for Nonconvex Smooth Stochastic Optimization Unresolved cited work

Reference 18

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:47:38.771912Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation e96c8db8-244f-4751-b7bd-918052fec24f · outbound

This paper cites Nesterov.

Dual Averaging Converges for Nonconvex Smooth Stochastic Optimization Nesterov

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:47:38.619643Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 5977cab1-30e9-4dfa-ba68-c4ffe16390ad · outbound

This paper cites First exit time analysis of stochastic gradient descent under heavy-tailed gradient noise.

Dual Averaging Converges for Nonconvex Smooth Stochastic Optimization First exit time analysis of stochastic gradient descent under heavy-tailed gradient noise

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-07T13:47:34.737704Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9161866b-c27d-4aec-b359-571882761775 · outbound

This paper cites Online Learning: A Modern Introduction Using Convex Optimization.

Dual Averaging Converges for Nonconvex Smooth Stochastic Optimization Online Learning: A Modern Introduction Using Convex Optimization

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-07T13:47:34.863211Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8f878cce-faf5-47ed-a86c-53aa5be46f8f · outbound

This paper cites Parameter-free Stochastic Optimization of Variationally Coherent Functions.

Dual Averaging Converges for Nonconvex Smooth Stochastic Optimization Parameter-free Stochastic Optimization of Variationally Coherent Functions

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-07T13:47:34.968145Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3801c75f-12ac-47b5-a5db-0e2fb3121ed7 · outbound

This paper cites Fast Convergence of Stochastic Gradient Descent under a Strong Growth Condition.

Dual Averaging Converges for Nonconvex Smooth Stochastic Optimization Fast Convergence of Stochastic Gradient Descent under a Strong Growth Condition

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-07T13:47:35.070721Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3dd7b6fb-e405-4453-8c25-2abfae7aea0e · outbound

This paper cites Shalev-Shwartz and Y.

Dual Averaging Converges for Nonconvex Smooth Stochastic Optimization Shalev-Shwartz and Y

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:47:38.399393Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 546d74d4-6b48-4a3b-8a8a-bfb1613108d6 · outbound

This paper cites Shalev-Shwartz and Y.

Dual Averaging Converges for Nonconvex Smooth Stochastic Optimization Shalev-Shwartz and Y

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:47:38.240297Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 3d7fe60b-8ed4-482e-8264-4e03ef8dada9 · outbound

This paper cites Simsekli, L.

Dual Averaging Converges for Nonconvex Smooth Stochastic Optimization Simsekli, L

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:47:38.147209Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation d140c35e-7db4-42a3-9f18-e342c9668d95 · outbound

This paper cites Solodkin, S.

Dual Averaging Converges for Nonconvex Smooth Stochastic Optimization Solodkin, S

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:47:37.987214Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 55fbd129-488a-478b-ad7f-c913b8bb65f7 · outbound

This paper cites Less Regret via Online Conditioning.

Dual Averaging Converges for Nonconvex Smooth Stochastic Optimization Less Regret via Online Conditioning

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-07T13:47:35.559874Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 23f0dd04-1757-40c5-9cca-d2f94ecc3f80 · outbound

This paper cites an unresolved cited work.

Dual Averaging Converges for Nonconvex Smooth Stochastic Optimization Unresolved cited work

Reference 29

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:47:37.805353Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation cbc9f6b6-68f4-4fe4-b503-c4b0a20eea25 · outbound

This paper cites Vaswani, F.

Dual Averaging Converges for Nonconvex Smooth Stochastic Optimization Vaswani, F

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:47:37.626863Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 5955fc4f-45fe-4ea0-a6f6-216d3ab42b1c · outbound

This paper cites Vershynin.

Dual Averaging Converges for Nonconvex Smooth Stochastic Optimization Vershynin

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-07T13:47:35.836682Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7b3dae18-28c5-4920-b579-c76988936d20 · outbound

This paper cites an unresolved cited work.

Dual Averaging Converges for Nonconvex Smooth Stochastic Optimization Unresolved cited work

Reference 32

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:47:37.405020Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation de47b525-ab1b-4950-83b7-6dc67fbf00a8 · outbound

This paper cites an unresolved cited work.

Dual Averaging Converges for Nonconvex Smooth Stochastic Optimization Unresolved cited work

Reference 33

Resolution: unresolved; no resolver link, observed 2026-08-07T13:47:36.055563Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7e6d0a4e-c4a9-4d4d-aed9-ac111e8b2d45 · outbound

This paper cites Zhang, S.

Dual Averaging Converges for Nonconvex Smooth Stochastic Optimization Zhang, S

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:47:37.162139Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation f983c45b-170c-4fc0-a7ed-6710320ded52 · outbound

This paper cites Zhang and Z.-H.

Dual Averaging Converges for Nonconvex Smooth Stochastic Optimization Zhang and Z.-H

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:47:36.978194Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 08d1e229-8927-4b87-8566-90672bbda644 · outbound

This paper cites On the Convergence of Adaptive Gradient Methods for Nonconvex Optimization.

Dual Averaging Converges for Nonconvex Smooth Stochastic Optimization On the Convergence of Adaptive Gradient Methods for Nonconvex Optimization

Reference 36

Resolution: unresolved; no resolver link, observed 2026-08-07T13:47:36.321431Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 076e4db8-af38-4447-afac-5a4eb769ea74 · outbound

This paper cites Zinkevich.

Dual Averaging Converges for Nonconvex Smooth Stochastic Optimization Zinkevich

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:47:36.792725Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation b70662bf-f26a-42da-ac88-61854cb92922 · outbound

This paper cites write newline.

Dual Averaging Converges for Nonconvex Smooth Stochastic Optimization write newline

Reference 38

Resolution: unresolved; no resolver link, observed 2026-08-07T13:47:36.500832Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

Observation 83e1fbeb-10ae-4c77-a766-659e7543ca97 · inbound

Partially Lazy Gradient Descent for Smoothed Online Learning cites this paper.

Partially Lazy Gradient Descent for Smoothed Online Learning Dual Averaging Converges for Nonconvex Smooth Stochastic Optimization

Reference 1

Resolution: verified exact; arxiv_id, observed 2026-05-16T12:00:53.254835Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation f060b836-c8ac-4f90-be84-db3063df2ed5 · inbound

Clipping the Price of Adaptivity at the Tail cites this paper.

Clipping the Price of Adaptivity at the Tail Dual Averaging Converges for Nonconvex Smooth Stochastic Optimization

Reference 19

Resolution: verified exact; arxiv_id, observed 2026-07-04T09:09:43.442549Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.