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Same Loss, Same Noise, Opposite Schedules: Noise Structure and Optimizer Normalization Jointly Determine Whether Learning-Rate Cooldown Helps

arXiv cs.LG · 2026-07-15 Cached

This paper provably shows that whether learning-rate cooldown helps in WSD schedules depends on the structure of gradient noise and whether the optimizer normalizes its update, explaining why cooldown can be ineffective for SGD but necessary for normalized methods.

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#gradient-noise

The Hidden Elegance of Gradient Noise

Lobsters Hottest · 2026-06-18 Cached

A detailed explanation of Perlin noise and its implementation in ClojureScript, including code snippets and a visualization of moving water filaments.

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#gradient-noise

How AI training scales

OpenAI Blog · 2018-12-14 Cached

OpenAI researchers discovered that the gradient noise scale, a simple statistical metric, predicts the parallelizability of neural network training across a wide range of tasks. They found that more complex tasks and more powerful models tolerate larger batch sizes, suggesting future AI systems can scale further through increased parallelization.

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