Paper Citation Record · LEDGER

Mirror Descent Under Generalized Smoothness

As of 17 August 2026, this Paper Citation Record lists 13 of 13 outbound references and 2 inbound Pith citation observations for arXiv:2502.00753.

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

pith.paper-citation-record.v1
2502.00753 v4

Coverage vector

measured 13 of 13 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-09T17:59:32.095299Z

measured 15 of 15 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-17T06:30:58.91139+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-15T16:18:52.268751Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-07-04T10:09:44.603832Z

Reference resolution

13 of 13 outbound references displayed

verified exact0
verified fuzzy7
unresolved6
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 883480d9-7392-476b-8754-fef6e4abc1fe · outbound

This paper cites Finding solvable subproblems remains difficult.

Mirror Descent Under Generalized Smoothness Finding solvable subproblems remains difficult

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T17:59:32.241158Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 2b3e6006-af78-45fb-a239-209d142c6e7e · outbound

This paper cites Thus the Hessian grows exponentially w.r.t.∥x∥2, render- ing polynomial-based characterization inadequate.

Mirror Descent Under Generalized Smoothness Thus the Hessian grows exponentially w.r.t.∥x∥2, render- ing polynomial-based characterization inadequate

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T17:59:32.252364Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation dcd6a7c3-a5ee-4fed-b222-7c8515b29967 · outbound

This paper cites In contrast, generalized smoothness remains applicable by empirically estimating the link function ℓ (Zhang et al., 2020b).

Mirror Descent Under Generalized Smoothness In contrast, generalized smoothness remains applicable by empirically estimating the link function ℓ (Zhang et al., 2020b)

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T17:59:32.230570Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 6e5e1bca-00bc-46d6-b6ef-b3395bffefd7 · outbound

This paper cites an unresolved cited work.

Mirror Descent Under Generalized Smoothness Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-08-09T17:59:32.219610Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 103891f0-b29a-42f1-b7e4-d24f76136496 · outbound

This paper cites 41 YU JIANG WAN ZHANG Part 2.

Mirror Descent Under Generalized Smoothness 41 YU JIANG WAN ZHANG Part 2

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T17:59:32.209672Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 3c62224e-f563-4d65-8064-cd44102d736f · outbound

This paper cites an unresolved cited work.

Mirror Descent Under Generalized Smoothness Unresolved cited work

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-08-09T17:59:32.198836Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation d994d25f-fc19-4ad2-9718-1ad10dfc3573 · outbound

This paper cites an unresolved cited work.

Mirror Descent Under Generalized Smoothness Unresolved cited work

Reference 7

Resolution: unresolved; raw_fallback, observed 2026-08-09T17:59:32.188285Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation abed4d55-3cd6-464d-9585-7c1b20d52359 · outbound

This paper cites Proof We prove this lemma by induction.

Mirror Descent Under Generalized Smoothness Proof We prove this lemma by induction

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T17:59:32.178500Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 253ca470-a304-44f5-b9b1-f58403b8db7d · outbound

This paper cites an unresolved cited work.

Mirror Descent Under Generalized Smoothness Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-08-09T17:59:32.167574Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 4822d458-a393-4923-a5a8-d47bef9f78d8 · outbound

This paper cites an unresolved cited work.

Mirror Descent Under Generalized Smoothness Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-08-09T17:59:32.157351Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 92560850-2d48-473c-85a4-6de275c04323 · outbound

This paper cites Proof The proof resembles that of Lemma D.2, which involves induction.

Mirror Descent Under Generalized Smoothness Proof The proof resembles that of Lemma D.2, which involves induction

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T17:59:32.147151Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation c29b1301-31f8-4581-b726-332a4d050b75 · outbound

This paper cites an unresolved cited work.

Mirror Descent Under Generalized Smoothness Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-08-09T17:59:32.136827Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation f4c796dd-df18-46b9-83ae-5b9edfb4f5d7 · outbound

This paper cites Proof We prove this lemma by induction.

Mirror Descent Under Generalized Smoothness Proof We prove this lemma by induction

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T17:59:32.126629Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Pith citing papers

Observation dffa6e4f-6d54-4e9f-98b2-386ef999aec0 · inbound

Decentralized Stochastic Nonconvex Optimization under the $(L_0,L_1)$-Smoothness cites this paper.

Decentralized Stochastic Nonconvex Optimization under the $(L_0,L_1)$-Smoothness Mirror Descent Under Generalized Smoothness

Reference 53

Resolution: unresolved; no resolver link, observed 2026-08-15T16:18:52.268751Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ed0ab5a6-6798-4dca-bdab-4e5ca6fce232 · inbound

Open Problem: Is AdamW Effective Under Heavy-Tailed Noise? cites this paper.

Open Problem: Is AdamW Effective Under Heavy-Tailed Noise? Mirror Descent Under Generalized Smoothness

Reference 12

Resolution: verified exact; local_arxiv, observed 2026-07-04T10:09:44.604974Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.