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Your LR Schedule May Not Be Principled: Effective Learning Rate Scheduling in Weight-Normalized Training

Weight-normalized (WN) training is emerging as a compelling alternative to conventional weight decay (WD), with recent studies reporting substantial pretraining loss gains. We show that these gains ar

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#16Peak rank
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Nov 1, 2026First seen
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About this paper

Effective learning rate trajectories primarily drive weight-normalized training gains, motivating an affine inverse-square-root schedule that improves large-scale pretraining loss and robustness.

Weight-normalized (WN) training is emerging as a compelling alternative to conventional weight decay (WD), with recent studies reporting substantial pretraining loss gains. We show that these gains are driven primarily by the induced effective learning rate (ELR) trajectory rather than by normalization alone. Matching ELR trajectories largely collapses the training loss dynamics of WN and WD. Schedule design should therefore target ELR rather than the nominal learning rate (LR) alone. Building on this principle, we propose AIR (Affine Inverse-square-Root decay), which combines a theoretically derived 1/t decay with an affine adjustment to satisfy prescribed peak and terminal LRs over a…

weight-normalized trainingweight decayeffective learning rateaffine inverse-square-root decayAIRMixture-of-Expertscosine schedulehyperparameter robustness
Upvotes
17
Authors
4
Published
Oct 29, 2026

Summary and abstract excerpt via Hugging Face Papers ↗ · arXiv.

Trending history

Your LR Schedule May Not Be Principled: Effective Learning Rate Scheduling in Weight-Normalized Training was first seen on Hugging Face · Daily papers on Nov 1, 2026. Since then it has appeared in 3 checks on 2 different days. Its best position was #16 of 30, reached on Nov 1, 09:28 UTC. It dropped off the list after Nov 2, 05:28 UTC.

Rank history

Position on Hugging Face · Daily papers at every check (lower is better).

#1#11#20#30 09:2814:2819:2800:2805:28 Nov 1, 09:28 UTC · #16Nov 2, 03:28 UTC · #30Nov 2, 05:28 UTC · #30

Last 14 days

Best rank per day (UTC).

Oct 26today

Metric history

Platform metric as reported by Hugging Face.

061117 09:2814:2819:2800:2805:28 Nov 1, 09:28 UTC · 17Nov 2, 03:28 UTC · 8Nov 2, 05:28 UTC · 8

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Is Your LR Schedule May Not Be Principled: Effective Learning Rate Scheduling in Weight-Normalized Training trending on HF Daily Papers right now?

Not at the moment. It was last on the list on Nov 2, 05:28 UTC, after 2 days of trending.

What is the highest rank Your LR Schedule May Not Be Principled: Effective Learning Rate Scheduling in Weight-Normalized Training reached?

#16 on Hugging Face · Daily papers, on Nov 1, 09:28 UTC. Trendoday checks this list every 120 minutes.

How long has Your LR Schedule May Not Be Principled: Effective Learning Rate Scheduling in Weight-Normalized Training been trending?

It was first seen on Nov 1, 2026 and has been on the list on 2 days (3 checks) since.