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New $\ell_p$-norm scheme enhances deep learning optimization

Researchers have introduced a new optimization scheme for deep neural networks that utilizes a dynamic $\ell_p$-norm, moving beyond the limitations of fixed $\ell_2$ and $\ell_\infty$ norms. This novel approach, termed LPSGD and LPSGDM, aims to improve convergence and generalization by adapting the norm's parameter $p$ throughout the training process. The method begins with a large $p$ to manage high-curvature directions and gradually decreases $p$ towards 2 for more stable updates, theoretically achieving an $O(T^{-1/2})$ convergence rate for non-convex problems. AI

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

RANK_REASON The cluster contains a research paper detailing a new theoretical scheme and experimental results for deep neural network optimization.

Read on arXiv cs.LG →

AI-generated summary · Google Gemini · from 2 sources. How we write summaries →

New $\ell_p$-norm scheme enhances deep learning optimization

COVERAGE [2]

  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…

  2. arXiv cs.LG TIER_1 English(EN) · Zhuang Yang ·

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

    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 dimensions. Generally, the training process of DNNs of…