Broad Learning System with Particle Swarm Optimization and Singular Value Decomposition

Huaying Sun, Shujun Wu, Guang-Fu Xue, Kai Zhang, Jian Wang
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Abstract

Broad Learning System (BLS), a newly-developing alternative approach of learning for deep neural network, has attracted much attentions from researchers all over the world due to its straightforward network structure and powerful performance to deal with classification and regression problems. The number of feature nodes and enhancement nodes in classical BLS is determined by grid search method which leads to heavy training burden, while the weights between input data and feature nodes are randomly initialized and fine-tuned taking advantages of sparse autoencoder. Different from that, a new BLS with Particle Swarm optimization (PSO) and Singular Value Decomposition (SVD) is raised in this paper. PSO algorithm is introduced to acquire the optimal number of feature nodes and enhancement nodes, which greatly reduces the search time. In addition, the weights between input data and feature nodes are initialized by SVD method, which avoids using iteration method to optimize them and also reduces computational cost. The experimental results on several regression datasets demonstrate that BLS with PSO and SVD can not only find optimal number of system nodes much faster than classical BLS but also achieve considerable satisfactory accuracy.
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基于粒子群优化和奇异值分解的广义学习系统
广义学习系统(BLS)是一种新兴的深度神经网络替代学习方法,由于其简单的网络结构和处理分类和回归问题的强大性能而受到国内外研究者的广泛关注。经典BLS中特征节点和增强节点的数量是通过网格搜索方法确定的,训练负担大,而输入数据和特征节点之间的权值是利用稀疏自编码器随机初始化和微调的。与此不同,本文提出了一种基于粒子群优化(PSO)和奇异值分解(SVD)的BLS。引入粒子群算法获取最优的特征节点和增强节点数量,大大缩短了搜索时间。此外,输入数据与特征节点之间的权值采用SVD方法初始化,避免了使用迭代方法进行优化,降低了计算成本。在多个回归数据集上的实验结果表明,结合粒子群分解和奇异值分解的BLS不仅能比经典BLS更快地找到最优的系统节点数,而且还能达到令人满意的精度。
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