Paper Citation Record · LEDGER

Training Dynamics of the Cooldown Stage in Warmup-Stable-Decay Learning Rate Scheduler

As of 9 August 2026, this Paper Citation Record lists 25 of 25 outbound references and 3 inbound Pith citation observations for arXiv:2508.01483.

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

pith.paper-citation-record.v1
2508.01483 v1

Coverage vector

measured 25 of 25 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T05:55:59.258807Z

measured 28 of 28 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+00:00

measured 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-04T12:38:54.214964Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-01T07:35:29.145833Z

Reference resolution

25 of 25 outbound references displayed

verified exact1
verified fuzzy7
unresolved14
parse uncertain0
malformed identifier0
metadata mismatch3

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation e64f15ae-2dd7-4dc1-b24f-663b9b1d1926 · outbound

This paper cites The 210M parameter model is used in the majority of the experiments.

Training Dynamics of the Cooldown Stage in Warmup-Stable-Decay Learning Rate Scheduler The 210M parameter model is used in the majority of the experiments

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T05:55:59.537123Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation ad4e3efd-a260-4745-9c5b-3f30696613ab · outbound

This paper cites All runs are trained with bfloat16 automatic mixed precision.

Training Dynamics of the Cooldown Stage in Warmup-Stable-Decay Learning Rate Scheduler All runs are trained with bfloat16 automatic mixed precision

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T05:55:59.547942Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 2115d95b-9171-448a-a406-aa00182860b1 · outbound

This paper cites An Image is Worth 16x16 Words: Transformers for Image Recognition at Scale.

Training Dynamics of the Cooldown Stage in Warmup-Stable-Decay Learning Rate Scheduler An Image is Worth 16x16 Words: Transformers for Image Recognition at Scale

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-06T05:55:59.183667Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d412c8ff-fcee-4fd4-822c-7e428aa65de8 · outbound

This paper cites Wide-minima Density Hypothesis and the Explore-Exploit Learning Rate Schedule.

Training Dynamics of the Cooldown Stage in Warmup-Stable-Decay Learning Rate Scheduler Wide-minima Density Hypothesis and the Explore-Exploit Learning Rate Schedule

Reference 7

Resolution: metadata mismatch; local_arxiv, observed 2026-08-06T05:55:59.358651Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 69dd7595-67b5-4912-b7db-73a62bd9bab1 · outbound

This paper cites Beyond Cosine Decay: On the effectiveness of Infinite Learning Rate Schedule for Continual Pre-training.

Training Dynamics of the Cooldown Stage in Warmup-Stable-Decay Learning Rate Scheduler Beyond Cosine Decay: On the effectiveness of Infinite Learning Rate Schedule for Continual Pre-training

Reference 8

Resolution: metadata mismatch; local_arxiv, observed 2026-08-06T05:55:59.344185Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 4353f7bc-a0b3-4d53-84e0-45d0af8c4c6c · outbound

This paper cites an unresolved cited work.

Training Dynamics of the Cooldown Stage in Warmup-Stable-Decay Learning Rate Scheduler Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-08-06T05:55:59.591293Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation b9426328-c111-4b69-b3a0-8f8b51c52533 · outbound

This paper cites doi: 10.18653/v1/2024.acl-long.293.

Training Dynamics of the Cooldown Stage in Warmup-Stable-Decay Learning Rate Scheduler doi: 10.18653/v1/2024.acl-long.293

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-06T05:55:59.207072Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ef360291-23dc-49cf-b3a7-df6e3df566fc · outbound

This paper cites Don't Decay the Learning Rate, Increase the Batch Size.

Training Dynamics of the Cooldown Stage in Warmup-Stable-Decay Learning Rate Scheduler Don't Decay the Learning Rate, Increase the Batch Size

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-06T05:55:59.210656Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bf2116aa-d4ff-40e6-863b-a992720fe400 · outbound

This paper cites Shreyas Subramanian, Vignesh Ganapathiraman, and Corey D Barrett.

Training Dynamics of the Cooldown Stage in Warmup-Stable-Decay Learning Rate Scheduler Shreyas Subramanian, Vignesh Ganapathiraman, and Corey D Barrett

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T05:55:59.580840Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation f580f63f-e4c4-4652-8135-ac6ad900a171 · outbound

This paper cites doi: 10.18653/v1/2024.findings-emnlp.954.

Training Dynamics of the Cooldown Stage in Warmup-Stable-Decay Learning Rate Scheduler doi: 10.18653/v1/2024.findings-emnlp.954

Reference 14

Resolution: verified exact; doi, observed 2026-08-06T05:55:59.290875Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 5f0e8e74-056e-4c73-a84c-aa0ac1620d68 · outbound

This paper cites LLaMA: Open and Efficient Foundation Language Models.

Training Dynamics of the Cooldown Stage in Warmup-Stable-Decay Learning Rate Scheduler LLaMA: Open and Efficient Foundation Language Models

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-06T05:55:59.221774Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9a27deff-1654-4ae9-bb7c-f62815412d85 · outbound

This paper cites 16 Published in Transactions on Machine Learning Research (08/2025) Mitchell Wortsman, Gabriel Ilharco, Samir Yitzhak Gadre, Rebecca Roelofs, Raphael Gontijo-Lopes, Ari S.

Training Dynamics of the Cooldown Stage in Warmup-Stable-Decay Learning Rate Scheduler 16 Published in Transactions on Machine Learning Research (08/2025) Mitchell Wortsman, Gabriel Ilharco, Samir Yitzhak Gadre, Rebecca Roelofs, Raphael Gontijo-Lopes, Ari S

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T05:55:59.569801Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation a80fc90e-720b-48d2-aac3-1bb7e1a9176a · outbound

This paper cites 17 Published in Transactions on Machine Learning Research (08/2025) A Experiments Context The experimental setup mirrors that of Hägele et al.

Training Dynamics of the Cooldown Stage in Warmup-Stable-Decay Learning Rate Scheduler 17 Published in Transactions on Machine Learning Research (08/2025) A Experiments Context The experimental setup mirrors that of Hägele et al

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T05:55:59.558978Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 02a056cd-9cb2-4ee4-b63b-3d86532566e0 · outbound

This paper cites an unresolved cited work.

Training Dynamics of the Cooldown Stage in Warmup-Stable-Decay Learning Rate Scheduler Unresolved cited work

Reference 19

Resolution: unresolved; raw_fallback, observed 2026-08-06T05:55:59.504163Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation a970ca86-da9b-4405-a693-f1ebf87989f5 · outbound

This paper cites Presumably, variations between plots should become less noticeable with an increase in the number of experiments with different data permutations.

Training Dynamics of the Cooldown Stage in Warmup-Stable-Decay Learning Rate Scheduler Presumably, variations between plots should become less noticeable with an increase in the number of experiments with different data permutations

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T05:55:59.525954Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation c25cd938-6e2b-45ef-ad7b-7af13e4b9ebd · outbound

This paper cites an unresolved cited work.

Training Dynamics of the Cooldown Stage in Warmup-Stable-Decay Learning Rate Scheduler Unresolved cited work

Reference 21

Resolution: unresolved; raw_fallback, observed 2026-08-06T05:55:59.514509Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation a0b0458f-e33c-4606-a9ec-b0316251651e · outbound

This paper cites an unresolved cited work.

Training Dynamics of the Cooldown Stage in Warmup-Stable-Decay Learning Rate Scheduler Unresolved cited work

Reference 24

Resolution: unresolved; raw_fallback, observed 2026-08-06T05:55:59.492461Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 4a2350c0-b7da-4a76-8039-e8a11de5be3f · outbound

This paper cites effective learning rate.

Training Dynamics of the Cooldown Stage in Warmup-Stable-Decay Learning Rate Scheduler effective learning rate

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T05:55:59.481617Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation c67ab800-5a04-4d09-90ed-1fafb9fda031 · outbound

This paper cites an unresolved cited work.

Training Dynamics of the Cooldown Stage in Warmup-Stable-Decay Learning Rate Scheduler Unresolved cited work

Reference 26

Resolution: unresolved; raw_fallback, observed 2026-08-06T05:55:59.470768Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation b51ce19c-d957-49fd-ba5d-2ceab981533c · outbound

This paper cites Rotational Equilibrium: How Weight Decay Balances Learning Across Neural Networks.

Training Dynamics of the Cooldown Stage in Warmup-Stable-Decay Learning Rate Scheduler Rotational Equilibrium: How Weight Decay Balances Learning Across Neural Networks

Reference 2017

Resolution: unresolved; no resolver link, observed 2026-08-06T05:55:59.199656Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3860b738-1439-4bf8-9137-5dd28d9283b6 · outbound

This paper cites Online Normalization for Training Neural Networks.

Training Dynamics of the Cooldown Stage in Warmup-Stable-Decay Learning Rate Scheduler Online Normalization for Training Neural Networks

Reference 2019

Resolution: metadata mismatch; local_arxiv, observed 2026-08-06T05:55:59.392100Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 79e55738-1928-4437-b9db-ff79d9374f41 · outbound

This paper cites The Step Decay Schedule: A Near Optimal, Geometrically Decaying Learning Rate Procedure For Least Squares.

Training Dynamics of the Cooldown Stage in Warmup-Stable-Decay Learning Rate Scheduler The Step Decay Schedule: A Near Optimal, Geometrically Decaying Learning Rate Procedure For Least Squares

Reference 2020

Resolution: unresolved; no resolver link, observed 2026-08-06T05:55:59.187523Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9f4e2581-7596-42f5-ae26-ee771dafc909 · outbound

This paper cites an unresolved cited work.

Training Dynamics of the Cooldown Stage in Warmup-Stable-Decay Learning Rate Scheduler Unresolved cited work

Reference 2023

Resolution: unresolved; raw_fallback, observed 2026-08-06T05:55:59.601287Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation e5e79c72-541b-441f-8e96-9ab167de6dba · outbound

This paper cites Shane Bergsma, Nolan Dey, Gurpreet Gosal, Gavia Gray, Daria Soboleva, and Joel Hestness.

Training Dynamics of the Cooldown Stage in Warmup-Stable-Decay Learning Rate Scheduler Shane Bergsma, Nolan Dey, Gurpreet Gosal, Gavia Gray, Daria Soboleva, and Joel Hestness

Reference 2024

Resolution: unresolved; no resolver link, observed 2026-08-06T05:55:59.166459Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1b48094d-8215-4781-b2fe-76fcf80fa2e7 · outbound

This paper cites DeepSeek LLM: Scaling Open-Source Language Models with Longtermism.

Training Dynamics of the Cooldown Stage in Warmup-Stable-Decay Learning Rate Scheduler DeepSeek LLM: Scaling Open-Source Language Models with Longtermism

Reference 2025

Resolution: unresolved; no resolver link, observed 2026-08-06T05:55:59.170814Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

Observation a5ed8a55-fe3a-47d2-8dbc-4f922557ea2f · inbound

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

Why Do We Need Warm-up? A Theoretical Perspective Training Dynamics of the Cooldown Stage in Warmup-Stable-Decay Learning Rate Scheduler

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-04T12:38:54.214964Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ef85312c-51f3-4c57-95ef-b567d5823845 · inbound

Sparse Layers are Critical to Scaling Looped Language Models cites this paper.

Sparse Layers are Critical to Scaling Looped Language Models Training Dynamics of the Cooldown Stage in Warmup-Stable-Decay Learning Rate Scheduler

Reference 23

Resolution: verified exact; arxiv_id, observed 2026-05-12T06:21:28.309833Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 912ed991-2177-4a6b-84d1-51791829ffd9 · inbound

Sparse Layers are Critical to Scaling Looped Language Models cites this paper.

Sparse Layers are Critical to Scaling Looped Language Models Training Dynamics of the Cooldown Stage in Warmup-Stable-Decay Learning Rate Scheduler

Reference 23

Resolution: verified exact; arxiv_id, observed 2026-07-01T07:35:29.147307Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.