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arXiv 2501.13296cs.LGstat.ML

探索重要性采样中的方差减少以实现高效DNN训练

Exploring Variance Reduction in Importance Sampling for Efficient DNN Training

Takuro Kutsuna(独立研究者)

Takuro Kutsuna

AI总结:

针对重要性采样中方差减少评估的计算挑战,本文提出基于小批量样本的方差减少估计方法、自动学习率调整的有效小批量大小及相关量化指标与算法,提升DNN训练效率与精度。

摘要:

重要性采样通过降低梯度估计器的方差广泛用于提升深度神经网络(DNN)训练效率,但因计算开销,高效评估其相对均匀采样的方差减少仍具挑战。本文提出一种仅用重要性采样下的小批量样本估计DNN训练中方差减少的方法;还基于该方法提出有效小批量大小以实现自动学习率调整,引入量化重要性采样效率的绝对指标及基于移动梯度统计实时估计重要性分数的算法。理论分析与基准数据集实验表明,该算法相较现有重要性采样方法,在保持最小计算开销的同时持续减少方差、提升训练效率并增强模型精度。

英文摘要:

Importance sampling is widely used to improve the efficiency of deep neural network (DNN) training by reducing the variance of gradient estimators. However, efficiently assessing the variance reduction relative to uniform sampling remains challenging due to computational overhead. This paper proposes a method for estimating variance reduction during DNN training using only minibatches sampled under importance sampling. By leveraging the proposed method, the paper also proposes an effective minibatch size to enable automatic learning rate adjustment. An absolute metric to quantify the efficiency of importance sampling is also introduced as well as an algorithm for real-time estimation of importance scores based on moving gradient statistics. Theoretical analysis and experiments on benchmark datasets demonstrated that the proposed algorithm consistently reduces variance, improves training efficiency, and enhances model accuracy compared with current importance-sampling approaches while maintaining minimal computational overhead.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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