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Paper Citation Record · LEDGER

On the Interaction of Batch Noise, Adaptivity, and Compression, under $(L_0,L_1)$-Smoothness: An SDE Approach

As of 7 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 3 inbound Pith citation observations for arXiv:2506.00181.

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

pith.paper-citation-record.v1
2506.00181 v2

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 3 of 3 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 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-07T00:50:30.238100Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-07T00:50:30.992429Z

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 42de01fd-13d3-4930-a9bc-9a2017e833c3 · inbound

Is your batch size the problem? Revisiting the Adam-SGD gap in language modeling cites this paper.

Is your batch size the problem? Revisiting the Adam-SGD gap in language modeling On the Interaction of Batch Noise, Adaptivity, and Compression, under $(L_0,L_1)$-Smoothness: An SDE Approach

Reference 5

Resolution
verified exact
local_arxiv, observed 2026-08-07T00:50:30.995734Z

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.

source=pdf_text observed=2026-08-07T00:50:30.238100Z digest=sha256:bf2b9f1dff80adda63c01a64d81d8a348cffeaf3de5138f8bf332d510001b29e

Observation e74688c1-4fe4-4611-9377-81ff0ab82c92 · inbound

Why Do We Need Warm-up? A Theoretical Perspective cites this paper.

Why Do We Need Warm-up? A Theoretical Perspective On the Interaction of Batch Noise, Adaptivity, and Compression, under $(L_0,L_1)$-Smoothness: An SDE Approach

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-04T12:38:53.610360Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-04T12:38:53.610360Z digest=sha256:ae73ebf77c56f16a1b7a7db99b8c7f292ab83efb9c0612d7f9ed0c86c6e0679d

Observation 7d73098a-2d87-4fdf-aabc-25fe1a25c0d6 · inbound

A Defense of the Quadratic Model cites this paper.

A Defense of the Quadratic Model On the Interaction of Batch Noise, Adaptivity, and Compression, under $(L_0,L_1)$-Smoothness: An SDE Approach

Reference 2026

Resolution
unresolved
no resolver link, observed 2026-08-01T06:58:12.161171Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T06:58:12.161171Z digest=sha256:332109db62b88beca2dd950d91822f82e146e35f5b6bb04b433a300351dcb8d1