Bayesian Optimization Based on Pseudo Labels

Waner Chen, Zhongwei Wu, Jiewen Xu, Yuehai Wang
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Abstract

The performance of a machine learning or deep learning algorithm is heavily influenced by its hyperparameters. The selection of the hyperparameters is of great significance. To automatically find a superior-performing set of hyperparameters, Bayesian optimization is a common and effective hyperparameter optimization method. And an early stopping strategy is usually employed in the optimization algorithm to improve efficiency. The early stopped trials cannot run to the end, so their final performance metrics are unavailable. Therefore, the existing Bayesian optimization algorithms fail to use the trials terminated early as samples for modeling. This may result in less information participating in the modeling, which leads to high model uncertainty. In this paper, we propose Bayesian optimization based on pseudo labels (BOPL). We apply the extrapolation of learning curves as the early stopping strategy and the pseudo labels obtainment method. We use the pseudo labels of all trials to model the surrogate model in Bayesian optimization, thereby avoiding the waste of information contained in the early stopped trials. Experiments on the ResNet-18 on the CIFAR-100 dataset show that the proposed BOPL consistently outperforms vanilla Bayesian and Bayesian with early stopping. It proves the effectiveness of the proposed method, which finds better-performing hyperparameters at a faster rate. The proposed method is versatile, conceptually simple, and easy to implement.
基于伪标签的贝叶斯优化
机器学习或深度学习算法的性能受到其超参数的严重影响。超参数的选择具有重要意义。为了自动找到性能优越的超参数集,贝叶斯优化是一种常用且有效的超参数优化方法。在优化算法中通常采用提前停车策略来提高效率。早期停止的试验不能运行到最后,因此它们的最终性能指标是不可用的。因此,现有的贝叶斯优化算法无法使用提前终止的试验作为样本进行建模。这可能导致参与建模的信息较少,从而导致模型的高不确定性。本文提出了一种基于伪标签的贝叶斯优化方法。我们采用学习曲线外推作为早期停止策略和伪标签获取方法。我们使用所有试验的伪标签来建模贝叶斯优化中的代理模型,从而避免了早期停止试验中包含的信息的浪费。在ResNet-18和CIFAR-100数据集上的实验表明,所提出的BOPL始终优于香草贝叶斯和早期停止贝叶斯。验证了该方法的有效性,能以更快的速度找到性能更好的超参数。所提出的方法是通用的,概念简单,易于实现。
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