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Paper Citation Record · LEDGER

On Convergence of Adam for Stochastic Optimization under Relaxed Assumptions

As of 10 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 7 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 7 of 7 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 7 of 7 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-10T00:25:45.103516Z

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 d864100a-7510-46ea-9ce3-80694e8312a1 · inbound

Power of Generalized Smoothness in Stochastic Convex Optimization: First- and Zero-Order Algorithms cites this paper.

Power of Generalized Smoothness in Stochastic Convex Optimization: First- and Zero-Order Algorithms On Convergence of Adam for Stochastic Optimization under Relaxed Assumptions

Reference 29

Resolution
unresolved
no resolver link, observed 2026-08-10T00:25:45.103516Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T00:25:45.103516Z digest=sha256:c8c9f2edc539a878d6032fd40317331d3a4657b1c1908809b33483445e58dcc9

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.

source=pdf_text observed=2026-08-06T19:25:24.849410Z digest=sha256:db3e57316d9bd52eabe741e2d6e73db5eb54610a07f95f7d3c66c804641e0b2f

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.

source=pdf_text observed=2026-08-06T19:10:16.619880Z digest=sha256:0a27d277f91866bac05e13f41e38794b9e2acfa0c788673bde22670c9e58be33

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-15T16:34:31.388219Z digest=sha256:d5a31ada17d66f8d4a4deb17623a06c5d7784a342d57033382a8adabf4c0e979

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-21T11:47:27.345223Z digest=sha256:1f5bb296eabac93b483097319bf3763e3575168f846826e29e51a0d15d112d86

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-06-27T17:47:21.377462Z digest=sha256:9353d82dd1ba7259ab8ad277b53c0039537d922d679cb4561f78b75d4e3a1040

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 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-06-29T05:33:27.870787Z digest=sha256:3ad348f61a7321a5050660598fde1e9cf6674ac450ea5390c65adafc63a8cedd