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Paper Citation Record · LEDGER

Understanding the Generalization Benefit of Normalization Layers: Sharpness Reduction

As of 16 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 3 inbound Pith citation observations for arXiv:2206.07085.

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

pith.paper-citation-record.v1
2206.07085 v3

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 2026-08-16T06:30:59.297886+00:00

measured 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-11T23:11:11.700324Z

measured 1 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-08-05T02:28:24.338817Z

Reference resolution

0 of 0 outbound references displayed

  • verified exact0
  • verified fuzzy0
  • unresolved0
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

12
arxiv_reference, observed 2026-08-05T02:28:24.338817Z

Outbound references

No outbound reference observations are available for this paper version.

Pith citing papers

Observation 1a824798-db9f-445c-bf17-1c4792fad0ac · inbound

Batch Normalization Decomposed cites this paper.

Batch Normalization Decomposed Understanding the Generalization Benefit of Normalization Layers: Sharpness Reduction

Reference 11

Resolution
unresolved
no resolver link, observed 2026-08-11T23:11:11.700324Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T23:11:11.700324Z digest=sha256:0bbd7d28663a4e354fd3f5d736967d870f6d7cae604030a7a25ce37c3916c451

Observation b2953767-98e2-4ece-9dd2-5b5a957c2cd8 · inbound

Wolkowicz-Styan Upper Bound on the Hessian Eigenspectrum for Cross-Entropy Loss in Nonlinear Smooth Neural Networks cites this paper.

Wolkowicz-Styan Upper Bound on the Hessian Eigenspectrum for Cross-Entropy Loss in Nonlinear Smooth Neural Networks Understanding the Generalization Benefit of Normalization Layers: Sharpness Reduction

Reference 9

Resolution
verified exact
arxiv_id, observed 2026-05-10T16:15:34.086154Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-05-10T16:13:31.927099Z digest=sha256:f46cf3b08a68de6f4a627ac3852466f0855d0d60e468241601cf2cc9aaa3297e

Observation 60cca88f-78c4-4bee-b393-fe8bb67de7c2 · inbound

Closed-Form Steepest Descent Direction toward Flat Minima: Reducing Upper Bounds on the Loss Hessian Eigenspectrum in Neural Networks cites this paper.

Closed-Form Steepest Descent Direction toward Flat Minima: Reducing Upper Bounds on the Loss Hessian Eigenspectrum in Neural Networks Understanding the Generalization Benefit of Normalization Layers: Sharpness Reduction

Reference 7

Resolution
verified exact
arxiv_id, observed 2026-06-30T09:44:36.913336Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-06-30T09:40:55.428448Z digest=sha256:5acd47f1d15b50a4c97bb8554019ff0f69c6b71b664a28c96997e48ecf525e04