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New $\ell_p$-norm scheme enhances deep neural network optimization

Researchers have introduced a new optimization scheme for deep neural networks that moves beyond the limitations of existing $\ell_2$ and $\ell_\infty$ norms. This novel $\ell_p$-norm scheme dynamically adjusts the value of $p$ during training, initially using a large $p$ to manage high-curvature directions and then gradually decreasing $p$ towards 2 for more stable convergence. Theoretical analysis suggests this approach achieves an $O(T^{-1/2})$ convergence rate in non-convex settings, and experiments on datasets like CIFAR and ImageNet with various neural networks demonstrate its effectiveness. AI

IMPACT Introduces a novel optimization technique that could improve training efficiency and generalization performance for deep learning models.

RANK_REASON The cluster contains a research paper detailing a new theoretical scheme and experimental validation for optimizing deep neural networks. [lever_c_demoted from research: ic=1 ai=1.0]

Read on arXiv cs.LG →

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COVERAGE [1]

  1. arXiv cs.LG TIER_1 English(EN) · Jianhao Xu, Zhuang Yang ·

    Beyond $\ell_2$-norm and $\ell_\infty$-norm: A Curvature-Inspired $\ell_p$-Norm Scheme for Deep Neural Networks

    arXiv:2606.02078v1 Announce Type: new Abstract: The existing optimizers for deep neural networks (DNNs) typically rely on either the $\ell_2$ norm or the $\ell_\infty$ norm, resulting in optimizers that do not adapt well to substantial changes in curvature across parameter dimens…