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Paper Citation Record · LEDGER

Implicit Bias of AdamW: $\ell_\infty$ Norm Constrained Optimization

As of 7 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 7 inbound Pith citation observations for arXiv:2404.04454.

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

pith.paper-citation-record.v1
2404.04454 v1

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 7 of 7 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 7 of 7 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-07T11:32:04.192151Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-04T13:29:51.056750Z

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 2f4aece1-fc76-450f-87d6-e6bf21dbe1dc · inbound

Training Deep Learning Models with Norm-Constrained LMOs cites this paper.

Training Deep Learning Models with Norm-Constrained LMOs Implicit Bias of AdamW: $\ell_\infty$ Norm Constrained Optimization

Reference 211

Resolution
verified exact
arxiv_id, observed 2026-05-21T21:22:37.122034Z

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=arxiv_source observed=2026-05-21T21:22:36.870292Z digest=sha256:1834f1ae3c264600f551774b73f23aecd3a6b5efe497c6e2b9b10aa039299b2a

Observation 69a1258c-d2bc-4057-a133-b27204da1a16 · inbound

Why Gradients Rapidly Increase Near the End of Training cites this paper.

Why Gradients Rapidly Increase Near the End of Training Implicit Bias of AdamW: $\ell_\infty$ Norm Constrained Optimization

Reference 19

Resolution
unresolved
no resolver link, observed 2026-08-07T11:32:04.192151Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T11:32:04.192151Z digest=sha256:d9355463827b0357697b3dc24e72bd17d1b97ece155622770ef72ffec0dd2935

Observation 0e51809e-b2a4-45d6-a1ef-8b0c3b16a73f · inbound

Lions and Muons: Optimization via Stochastic Frank-Wolfe under Heavy-Tailed Noise cites this paper.

Lions and Muons: Optimization via Stochastic Frank-Wolfe under Heavy-Tailed Noise Implicit Bias of AdamW: $\ell_\infty$ Norm Constrained Optimization

Reference 92

Resolution
unresolved
no resolver link, observed 2026-08-07T10:58:37.608722Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T10:58:37.608722Z digest=sha256:f3c8845b22c96c7c30dd7293c6fd1ead3d75e839edfe8aebce50c4f390b7d7d9

Observation 83c052bb-d1d1-42c7-ab03-e2f32a984a4f · inbound

Hierarchical Reasoning Model cites this paper.

Hierarchical Reasoning Model Implicit Bias of AdamW: $\ell_\infty$ Norm Constrained Optimization

Reference 51

Resolution
metadata mismatch
arxiv_id, observed 2026-05-15T04:58:03.520218Z

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=2026-05-15T04:58:03.283911Z digest=sha256:c7bb6f1de660e24982712e6a589dfc15dbde64002c63e881dea9a82cbd2d87a9

Observation 70d3bedb-7961-485e-ae56-7cf0911f4c85 · inbound

Demystifying Manifold Constraints in LLM Pre-training cites this paper.

Demystifying Manifold Constraints in LLM Pre-training Implicit Bias of AdamW: $\ell_\infty$ Norm Constrained Optimization

Reference 30

Resolution
metadata mismatch
arxiv_id, observed 2026-05-11T17:16:08.510347Z

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=2026-05-08T17:44:44.438637Z digest=sha256:ca1d8f66e1d2946cfd9e9bf6c31eec853eb6af1093ef66288462db7e00b4a1c2

Observation 0bf34980-5ba6-470d-b966-d5efe8dbf2b3 · inbound

Optimistic Dual Averaging Unifies Modern Optimizers cites this paper.

Optimistic Dual Averaging Unifies Modern Optimizers Implicit Bias of AdamW: $\ell_\infty$ Norm Constrained Optimization

Reference 17

Resolution
metadata mismatch
arxiv_id, observed 2026-05-13T05:52:21.860476Z

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=2026-05-13T05:52:16.805180Z digest=sha256:036352a3faf73d69a6e6dd5a717b146520b3fa46a5b5740361cd64632e26bc27

Observation 075d5765-6874-491f-a12b-1ac78e0041a7 · inbound

Structure Before Collapse: Transient semantic geometry in next-token prediction cites this paper.

Structure Before Collapse: Transient semantic geometry in next-token prediction Implicit Bias of AdamW: $\ell_\infty$ Norm Constrained Optimization

Reference 56

Resolution
metadata mismatch
arxiv_id, observed 2026-07-04T13:29:51.058364Z

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=arxiv_source observed=2026-06-26T05:14:07.208255Z digest=sha256:c44f32409e90f2eed45826a03a9e7a1731a54ae2bf655ab42ed27aa119fe6601