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Paper Citation Record · LEDGER

Batch Normalization Decomposed

As of 16 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 2026-08-15T06:32:42.880941+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:f034808e39bd66b1ed3b2bc7b8bf42fc5394e8d03b2b3a622918de0449fc13d9

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=sha256:0bbd7d28663a4e354fd3f5d736967d870f6d7cae604030a7a25ce37c3916c451

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-11T23:11:11.705249Z digest=sha256:8d3ab3299fa98338ad419bc76d61965abfe6ea4744da9ea0d9017725f924e219

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-11T23:11:11.710549Z digest=sha256:f88f2528ca7c776abbf3df1c591968bada2bc2acff32cfe273ca0fa08aef1c1b

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-11T23:11:11.721458Z digest=sha256:35e2f829df8cac72f0d451af690db301c6f8f35b1c489c475146e4fd6f9fa236

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-11T23:11:11.654416Z digest=sha256:c95ec27e94cb9de06cb5803df736ad7181deb249bc5703e4e2cbed71b8bf3084

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=sha256:49b3dd72d49ed826a320cc54ad8090e78dc82490f38bca5aee897ea61c8ddc59

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:da436e43f705f596559a710ecf717ce92fcd7fa99fe2b3ee961f272c6445294b

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=sha256:8d9cf04ae8cb76392c59c77500644db2d080ae67ffaf8b4e85e59ba591b52391

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-11T23:11:11.648272Z digest=sha256:5153bf70706433ac00e434d1dea2168f403c9b9869a381764cff3222da91c3d6

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-11T23:11:11.695784Z digest=sha256:af4ba7e15a996e65d981a61f64e0ed394b8db8a569cc83e3af6451ed01894272

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-11T23:11:11.659555Z digest=sha256:9360486760de5ce5c2e58c06120f7aa3197daa37fd50d950f3e7d3d52e6e507d

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-11T23:11:11.664487Z digest=sha256:0cdbb20b93f5b0172a631f7c377f4c8979151bbf38c6b251c8f8830fa507b0ab

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=sha256:988f4d29adb3a92dc94bfc33c3b1d6d18ccee2d644f39c3f5bf5dc18ba073961

Pith citing papers

No inbound Pith citation observations are available.