LGJan 20, 2025

GCSAM: Gradient Centralized Sharpness Aware Minimization

arXiv:2501.11584v21 citationsh-index: 7IEEE Access
Originality Incremental advance
AI Analysis

This addresses efficiency and stability issues in optimization for deep neural networks, particularly in domains like medical imaging, but is incremental as it builds on existing SAM methods.

The paper tackled the computational overhead and sensitivity to noisy gradients in Sharpness-Aware Minimization (SAM) by proposing Gradient-Centralized Sharpness-Aware Minimization (GCSAM), which improved generalization and computational efficiency, outperforming SAM and Adam in evaluations.

The generalization performance of deep neural networks (DNNs) is a critical factor in achieving robust model behavior on unseen data. Recent studies have highlighted the importance of sharpness-based measures in promoting generalization by encouraging convergence to flatter minima. Among these approaches, Sharpness-Aware Minimization (SAM) has emerged as an effective optimization technique for reducing the sharpness of the loss landscape, thereby improving generalization. However, SAM's computational overhead and sensitivity to noisy gradients limit its scalability and efficiency. To address these challenges, we propose Gradient-Centralized Sharpness-Aware Minimization (GCSAM), which incorporates Gradient Centralization (GC) to stabilize gradients and accelerate convergence. GCSAM normalizes gradients before the ascent step, reducing noise and variance, and improving stability during training. Our evaluations indicate that GCSAM consistently outperforms SAM and the Adam optimizer in terms of generalization and computational efficiency. These findings demonstrate GCSAM's effectiveness across diverse domains, including general and medical imaging tasks.

Code Implementations1 repo
Foundations

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