A second-order-like optimizer with adaptive gradient scaling for deep learning

27 Sept 2024 (modified: 05 Feb 2025)Submitted to ICLR 2025EveryoneRevisionsBibTeXCC BY 4.0
Keywords: deep learning, second-order methods, stochastic optimization, dynamical systems
TL;DR: Using a second-order in time minimization system with Hessian friction and gradient adaption à la RMSprop, we introduce and benchmark a new stochastic second-order optimizer.
Abstract: In this empirical article, we introduce INNAprop, an optimization algorithm that combines the INNA method with the RMSprop adaptive gradient scaling. It leverages second-order information and rescaling while keeping the memory requirements of standard DL methods as AdamW or SGD with momentum. After having recalled our geometrical motivations, we provide quite extensive experiments. On image classification (CIFAR-10, ImageNet) and language modeling (GPT-2), INNAprop consistently matches or outperforms AdamW both in training speed and accuracy, with minimal hyperparameter tuning in large-scale settings. Our code is publicly available at \url{https://github.com/innaprop/innaprop}.
Primary Area: optimization
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Submission Number: 9673
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