Paper Citation Record · LEDGER

On the Convergence of Adam under Non-uniform Smoothness: Separability from SGDM and Beyond

As of 9 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 6 inbound Pith citation observations for arXiv:2403.15146.

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

pith.paper-citation-record.v1
2403.15146 v1

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

measured 6 of 6 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-08T11:35:29.767863Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-21T11:50:03.748220Z

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 57e254e7-b633-4305-8ab9-0f88eeffc9ef · inbound

Sign Operator for Coping with Heavy-Tailed Noise in Non-Convex Optimization: High Probability Bounds Under $(L_0, L_1)$-Smoothness cites this paper.

Sign Operator for Coping with Heavy-Tailed Noise in Non-Convex Optimization: High Probability Bounds Under $(L_0, L_1)$-Smoothness On the Convergence of Adam under Non-uniform Smoothness: Separability from SGDM and Beyond

Reference 69

Resolution: unresolved; no resolver link, observed 2026-08-08T11:35:29.767863Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d0f52cb7-2a7d-43b9-b5fa-d5811c97be26 · inbound

LightSAM: Parameter-Agnostic Sharpness-Aware Minimization cites this paper.

LightSAM: Parameter-Agnostic Sharpness-Aware Minimization On the Convergence of Adam under Non-uniform Smoothness: Separability from SGDM and Beyond

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-07T12:32:04.824071Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c5effdbe-3f6a-4a2d-9c96-7e692818b58a · 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 the Convergence of Adam under Non-uniform Smoothness: Separability from SGDM and Beyond

Reference 45

Resolution: unresolved; no resolver link, observed 2026-08-06T19:25:24.940732Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4b7fe2d6-dc9c-40d5-8264-eb55fa968611 · 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 the Convergence of Adam under Non-uniform Smoothness: Separability from SGDM and Beyond

Reference 11

Resolution: verified exact; arxiv_id, observed 2026-05-15T16:36:17.466843Z

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 49943688-ee55-4974-8b92-66751c2ff111 · 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 the Convergence of Adam under Non-uniform Smoothness: Separability from SGDM and Beyond

Reference 11

Resolution: verified exact; arxiv_id, observed 2026-05-21T11:50:03.751586Z

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 8453bc95-cd1c-41db-939e-40248cb1a69f · inbound

Convergence of difference inclusions via a diameter criterion cites this paper.

Convergence of difference inclusions via a diameter criterion On the Convergence of Adam under Non-uniform Smoothness: Separability from SGDM and Beyond

Reference 117

Resolution: metadata mismatch; arxiv_id, observed 2026-05-15T02:23:31.731712Z

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.