A Novel Radial Basis Function (RBF) Network for Bayesian Optimization

Jianping Luo, Wei Xu, Jiao Chen
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Abstract

Gaussian process (GP) is the most popular surrogate model used in Bayesian optimization for solving computationally expensive problems. However, the computation time for constructing GP may become excessively long when the number of training samples increases. This study investigates multi-task learning with the radial basis function (RBF) network and proposes a multi-task learning network models based on RBF. Moreover, the proposed multi-task-RBF networks are applied to a Bayesian optimization framework and used to replace the GP for avoiding the covariance calculation. Experimental studies under several scenarios indicate that the proposed algorithm is competitive in performance compared with GP- and single-task-based Bayesian optimizations.
一种新的径向基函数网络用于贝叶斯优化
高斯过程(GP)是贝叶斯优化中最常用的代理模型,用于解决计算成本高的问题。然而,随着训练样本数量的增加,构造GP的计算时间可能会变得过长。研究了基于径向基函数(RBF)网络的多任务学习,提出了一种基于RBF的多任务学习网络模型。此外,将多任务rbf网络应用于贝叶斯优化框架,并用于替代GP以避免协方差计算。几种场景下的实验研究表明,与基于GP和单任务的贝叶斯优化相比,该算法在性能上具有竞争力。
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