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Alan Milligan

2 accepted papers

2025

Understanding Adam Requires Better Rotation Dependent Assumptions

NeurIPS 2025poster

Despite its widespread adoption, Adam's advantage over Stochastic Gradient Descent (SGD) lacks a comprehensive theoretical explanation. This paper investigates Adam's sensitivity to rotations of the parameter space. We observe that Adam's performance in training transformers degrades under random ro…

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2024

Heavy-Tailed Class Imbalance and Why Adam Outperforms Gradient Descent on Language Models

NeurIPS 2024spotlight

Adam has been shown to outperform gradient descent on large language models by a larger margin than on other tasks, but it is unclear why. We show that a key factor in this performance gap is the heavy-tailed class imbalance found in language tasks. When trained with gradient descent, the loss of in…

Cited by 32Source ↗PDF ↗Scholar ↗