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Paper Citation Record · LEDGER

Batch Normalization Decomposed

As of 18 August 2026, this Paper Citation Record lists 14 of 14 outbound references and 0 inbound Pith citation observations for arXiv:2412.02843.

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

pith.paper-citation-record.v1
2412.02843 v1

Coverage vector

measured 14 of 14 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T23:11:11.721458Z

measured 14 of 14 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

14 of 14 outbound references displayed

  • verified exact0
  • verified fuzzy6
  • unresolved7
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 09832495-5396-4aff-8ca4-883daf11dea3 · outbound

This paper cites Training BatchNorm and Only BatchNorm: On the Expressive Power of Random Features in CNNs.

Batch Normalization Decomposed Training BatchNorm and Only BatchNorm: On the Expressive Power of Random Features in CNNs

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-11T23:11:11.669446Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T23:11:11.669446Z digest=sha256:1b5c435190e8f7d1983ae12a0010e850e6bcfb3a3f3dcddee1a489eacb77e15b

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

This paper cites Understanding the Generalization Benefit of Normalization Layers: Sharpness Reduction.

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=sha256:3606874509a1c967b7076ff1dcb96e3b862593ebf74550c91ac48226b5e96bb8

Observation 1e6b77e1-ad03-4473-b304-eb5df127c518 · outbound

This paper cites 14 Andrew M.

Batch Normalization Decomposed 14 Andrew M

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T23:11:11.888031Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-11T23:11:11.705249Z digest=sha256:5bf83b4ecbbacc0412f396106b286f895a50a119f7fbeb588f95cd16d680c302

Observation aae35ebc-d40b-48a7-8adb-88a8455aa41e · outbound

This paper cites Understanding the Failure of Batch Normalization for Transformers in NLP.

Batch Normalization Decomposed Understanding the Failure of Batch Normalization for Transformers in NLP

Reference 13

Resolution
metadata mismatch
local_arxiv, observed 2026-08-11T23:11:11.803514Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-11T23:11:11.710549Z digest=sha256:fd01135fbfd9d4d43c47510c0c636b286db75bf0f942289a670e137235729e95

Observation 41b72087-55c6-439e-ba4a-c830b28feddb · outbound

This paper cites an unresolved cited work.

Batch Normalization Decomposed Unresolved cited work

Reference 95

Resolution
unresolved
raw_fallback, observed 2026-08-11T23:11:11.872272Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-11T23:11:11.721458Z digest=sha256:a6ac5b21310317410306d3a992d628b6e38c96548a69dc0adc2c4d2460469e46

Observation 587c0f9f-b9ca-4fca-a3fe-2799f4f9ebee · outbound

This paper cites cc/paper/2009/file/5751ec3e9a4feab575962e78e006250d-Paper.pdf.

Batch Normalization Decomposed cc/paper/2009/file/5751ec3e9a4feab575962e78e006250d-Paper.pdf

Reference 2009

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T23:11:11.953090Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-11T23:11:11.654416Z digest=sha256:31c414b577fd8d5751559fae00d49eea8d781d17850eed86a36c51bf70688007

Observation a66518fb-ece7-4c04-a227-6054a97f4067 · outbound

This paper cites Delving Deep into Rectifiers: Surpassing Human-Level Performance on ImageNet Classification.

Batch Normalization Decomposed Delving Deep into Rectifiers: Surpassing Human-Level Performance on ImageNet Classification

Reference 2015

Resolution
unresolved
no resolver link, observed 2026-08-11T23:11:11.680410Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T23:11:11.680410Z digest=sha256:78a4898b82d359a9584c0834c2aed405f50502d6f980421f06f9146ff9de563c

Observation a3e708f6-51ad-45e5-94f0-251801ed44e5 · outbound

This paper cites Gao Huang, Zhuang Liu, Laurens Van Der Maaten, and Kilian Q.

Batch Normalization Decomposed Gao Huang, Zhuang Liu, Laurens Van Der Maaten, and Kilian Q

Reference 2016

Resolution
unresolved
no resolver link, observed 2026-08-11T23:11:11.686050Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T23:11:11.686050Z digest=sha256:cb602260196c70264e97197326016dd2a5115894a032eb06def04c814bd26529

Observation df9f419c-dbd4-4bfe-bf0b-4ae662c06377 · outbound

This paper cites Sergey Ioffe and Christian Szegedy.

Batch Normalization Decomposed Sergey Ioffe and Christian Szegedy

Reference 2017

Resolution
unresolved
no resolver link, observed 2026-08-11T23:11:11.690931Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T23:11:11.690931Z digest=sha256:8ee212616a6c63922ef6f9c6ca54511f6682f8bffbd12823ee24c22dd3791e1f

Observation e2e51dc8-b4cd-45f8-8086-d8535ddeed17 · outbound

This paper cites Youngmin Cho and Lawrence Saul.

Batch Normalization Decomposed Youngmin Cho and Lawrence Saul

Reference 2018

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T23:11:11.968877Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-11T23:11:11.648272Z digest=sha256:5691fc213f70db77c96845f8387ceca4a6eb1f64f0094962ead4e9b614aaca80

Observation 461207f0-3f49-404e-9c78-da87c2177609 · outbound

This paper cites cc/paper/2019/file/9edda0fd4d983bf975935cfd492fd50b-Paper.pdf.

Batch Normalization Decomposed cc/paper/2019/file/9edda0fd4d983bf975935cfd492fd50b-Paper.pdf

Reference 2019

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T23:11:11.903979Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-11T23:11:11.695784Z digest=sha256:29bebda3eca4376fd0269b878f745f84b3258f8f6bff0dce5ec9f10eb000cd3d

Observation c29c6e2c-353d-44ec-ab0b-f9d85042026e · outbound

This paper cites Hadi Daneshmand, Amir Joudaki, and Francis Bach.

Batch Normalization Decomposed Hadi Daneshmand, Amir Joudaki, and Francis Bach

Reference 2020

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T23:11:11.935458Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-11T23:11:11.659555Z digest=sha256:7c1f0b25980e26c7d2e1eddef6488619a26cc8bb06d24f4c022f70d24b916814

Observation 06fbd95e-0f72-4e84-bf39-99d2e0246c76 · outbound

This paper cites cc/paper/2021/file/26cd8ecadce0d4efd6cc8a8725cbd1f8-Paper.pdf.

Batch Normalization Decomposed cc/paper/2021/file/26cd8ecadce0d4efd6cc8a8725cbd1f8-Paper.pdf

Reference 2021

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T23:11:11.919748Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-11T23:11:11.664487Z digest=sha256:d2816eeec02822296bc95d54f529b25423334db6650debb45fa350a8510384b7

Observation 712b2006-fdbb-48a2-a768-0a272043f102 · outbound

This paper cites A Mean Field Theory of Batch Normalization.

Batch Normalization Decomposed A Mean Field Theory of Batch Normalization

Reference 2022

Resolution
unresolved
no resolver link, observed 2026-08-11T23:11:11.715920Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T23:11:11.715920Z digest=sha256:314e46e18fda47be7abd3c7ef3ae7377d48884ef8c8ded29ce5353a613089496

Pith citing papers

No inbound Pith citation observations are available.