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PowerStep: Memory-Efficient Adaptive Optimization via $\ell_p$-Norm Steepest Descent

Lu, Yao et al.
arXiv (All) · Papers
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artificial-intelligencecomputation-and-languagemachine-learningnumerical-analysisoptimization-and-control
Adaptive optimizers such as Adam are standard for training Transformers, but storing gradient first and second moments incurs substantial memory overhead. We introduce PowerStep, a memory-efficient optimizer that achieves coordinate-wise adaptivity without storing second-moment statistics. Motivated
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