Paper Citation Record · LEDGER

Rotational Equilibrium: How Weight Decay Balances Learning Across Neural Networks

As of 13 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 13 inbound Pith citation observations for arXiv:2305.17212.

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

pith.paper-citation-record.v1
2305.17212 v4

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 13 of 13 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+00:00

measured 13 of 13 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-07T13:26:07.038954Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-04T20:30:07.614249Z

Reference resolution

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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 cd387253-ef1e-484f-82d0-1ba700eba51c · inbound

Taming Transformer Without Using Learning Rate Warmup cites this paper.

Taming Transformer Without Using Learning Rate Warmup Rotational Equilibrium: How Weight Decay Balances Learning Across Neural Networks

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-07T13:26:07.038954Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9040d922-e161-48d7-b39e-631dabe5a67e · inbound

Energy Considerations for Large Pretrained Neural Networks cites this paper.

Energy Considerations for Large Pretrained Neural Networks Rotational Equilibrium: How Weight Decay Balances Learning Across Neural Networks

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-07T11:50:49.600122Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 15a93d33-2ce1-46e9-b271-30531ceec169 · 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 Rotational Equilibrium: How Weight Decay Balances Learning Across Neural Networks

Reference 49

Resolution: unresolved; no resolver link, observed 2026-08-07T10:58:33.279593Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

Training Dynamics of the Cooldown Stage in Warmup-Stable-Decay Learning Rate Scheduler cites this paper.

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 1ed658f6-22ef-43e5-a77e-e62f4ad32b96 · inbound

Neural Network Optimization Reimagined: Decoupled Techniques for Scratch and Fine-Tuning cites this paper.

Neural Network Optimization Reimagined: Decoupled Techniques for Scratch and Fine-Tuning Rotational Equilibrium: How Weight Decay Balances Learning Across Neural Networks

Reference 17

Resolution: verified exact; arxiv_id, observed 2026-05-10T03:29:22.048347Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation f9631de9-1045-4c3f-8e86-bec4201236ff · inbound

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

Demystifying Manifold Constraints in LLM Pre-training Rotational Equilibrium: How Weight Decay Balances Learning Across Neural Networks

Reference 16

Resolution: verified exact; arxiv_id, observed 2026-05-11T17:16:08.501233Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation abea9704-f303-4341-b212-3293b7a01d8d · inbound

Does Weight Decay Enhance Training Stability? cites this paper.

Does Weight Decay Enhance Training Stability? Rotational Equilibrium: How Weight Decay Balances Learning Across Neural Networks

Reference 30

Resolution: verified exact; arxiv_id, observed 2026-05-20T19:53:43.005627Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 13380a38-9c6a-4539-a9d4-6545b8dc7571 · inbound

Weibull Weight-Scale Parameter Evolution under AdamW Training Dynamics cites this paper.

Weibull Weight-Scale Parameter Evolution under AdamW Training Dynamics Rotational Equilibrium: How Weight Decay Balances Learning Across Neural Networks

Reference 31

Resolution: verified exact; arxiv_id, observed 2026-07-03T13:48:20.850873Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation c8305465-944e-4914-a1e4-e93137615169 · inbound

Improving Neural Network Training by Decoupling the Magnitude and Direction of Weight Vectors cites this paper.

Improving Neural Network Training by Decoupling the Magnitude and Direction of Weight Vectors Rotational Equilibrium: How Weight Decay Balances Learning Across Neural Networks

Reference 95

Resolution: verified exact; arxiv_id, observed 2026-07-04T20:30:07.617309Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 1f92b0d0-0793-4758-b192-6a40023a48e1 · inbound

Improving Neural Network Training by Decoupling the Magnitude and Direction of Weight Vectors cites this paper.

Improving Neural Network Training by Decoupling the Magnitude and Direction of Weight Vectors Rotational Equilibrium: How Weight Decay Balances Learning Across Neural Networks

Reference 43

Resolution: unresolved; no resolver link, observed 2026-08-02T10:14:08.209467Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3f213c73-94ca-477b-9b7b-aa08de0a1caa · inbound

Dead-Direction Conditioners: Gauge-Equivariant Preconditioning for Deep Networks cites this paper.

Dead-Direction Conditioners: Gauge-Equivariant Preconditioning for Deep Networks Rotational Equilibrium: How Weight Decay Balances Learning Across Neural Networks

Reference 14

Resolution: verified exact; arxiv_id, observed 2026-06-30T08:04:28.150136Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 878d8978-c3a8-4f8b-9b0a-410cf6543df5 · inbound

SOAP, Muon, and Beyond: Pushing LLM Pretraining Scales cites this paper.

SOAP, Muon, and Beyond: Pushing LLM Pretraining Scales Rotational Equilibrium: How Weight Decay Balances Learning Across Neural Networks

Reference 50

Resolution: unresolved; no resolver link, observed 2026-08-02T06:45:16.141224Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 08e3f009-f43f-49fc-aaa1-048424f4be36 · inbound

Scale Weight Decay and Train Better cites this paper.

Scale Weight Decay and Train Better Rotational Equilibrium: How Weight Decay Balances Learning Across Neural Networks

Reference 46

Resolution: unresolved; no resolver link, observed 2026-07-30T12:53:41.065516Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.