Paper Citation Record · LEDGER

On Convergence of Adam for Stochastic Optimization under Relaxed Assumptions

As of 7 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 6 inbound Pith citation observations for arXiv:2402.03982.

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

pith.paper-citation-record.v1
2402.03982 v2

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 6 of 6 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 6 of 6 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-06T19:25:24.849410Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-02T23:47:28.516632Z

Reference resolution

0 of 0 outbound references displayed

verified exact0
verified fuzzy0
unresolved0
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

No outbound reference observations are available for this paper version.

Pith citing papers

Observation 6a4893c6-141d-457a-bd52-17523901a20d · inbound

Simple Convergence Proof of Adam From a Sign-like Descent Perspective cites this paper.

Simple Convergence Proof of Adam From a Sign-like Descent Perspective On Convergence of Adam for Stochastic Optimization under Relaxed Assumptions

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-06T19:25:24.849410Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation aef5e537-b67a-4191-baf8-44b8ee68e314 · inbound

SoftSignSGD(S3): An Enhanced Optimizer for Practical DNN Training and Loss Spikes Minimization Beyond Adam cites this paper.

SoftSignSGD(S3): An Enhanced Optimizer for Practical DNN Training and Loss Spikes Minimization Beyond Adam On Convergence of Adam for Stochastic Optimization under Relaxed Assumptions

Reference 56

Resolution: unresolved; no resolver link, observed 2026-08-06T19:10:16.619880Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d7184af3-9835-412d-9c07-b2b85d6f49d4 · inbound

Why Adam Can Beat SGD: Second-Moment Normalization Yields Sharper Tails cites this paper.

Why Adam Can Beat SGD: Second-Moment Normalization Yields Sharper Tails On Convergence of Adam for Stochastic Optimization under Relaxed Assumptions

Reference 3

Resolution: verified exact; arxiv_id, observed 2026-05-15T16:36:17.485569Z

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 929c9d95-91a4-4a30-804e-abe68b840ae2 · inbound

Why Adam Can Beat SGD: Second-Moment Normalization Yields Sharper Tails cites this paper.

Why Adam Can Beat SGD: Second-Moment Normalization Yields Sharper Tails On Convergence of Adam for Stochastic Optimization under Relaxed Assumptions

Reference 3

Resolution: verified exact; arxiv_id, observed 2026-05-21T11:50:03.758150Z

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 0274dbcb-b05a-4548-adde-72110393bcae · inbound

OptMuon: Closed-Loop Orthogonalized Momentum Methods for Stochastic Optimization with Zero-Noise Optimality cites this paper.

OptMuon: Closed-Loop Orthogonalized Momentum Methods for Stochastic Optimization with Zero-Noise Optimality On Convergence of Adam for Stochastic Optimization under Relaxed Assumptions

Reference 79

Resolution: metadata mismatch; arxiv_id, observed 2026-07-02T23:47:28.518041Z

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 94102910-f85c-440e-bea0-d997aa970d36 · inbound

OptMuon: Closed-Loop Orthogonalized Momentum Methods for Stochastic Optimization with Zero-Noise Optimality cites this paper.

OptMuon: Closed-Loop Orthogonalized Momentum Methods for Stochastic Optimization with Zero-Noise Optimality On Convergence of Adam for Stochastic Optimization under Relaxed Assumptions

Reference 85

Resolution: metadata mismatch; arxiv_id, observed 2026-06-29T05:43:08.866575Z

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.