arXiv:2409.05013eess.IV2024-09被引 6

用聚类随机生成RBF核,提升高光谱分类效率与鲁棒性

Cluster-based Random Radial Basis Kernel Function for Hyperspectral Data Classification

  • 按波段聚类后为每类随机分配核参数,构建组合RBF核
  • 在3个数据集上表现优于或相当传统RBF,且精度稳定
  • 参数仅需设置聚类数,适合追求高效部署的工程师

基于核函数的分类方法,尤其是支持向量机(SVM),是高光谱数据分类中最常用的算法之一。径向基函数(RBF)核因其性能优越而广受欢迎。然而,通常用于调优RBF参数的交叉验证过程耗时且可能得到次优结果。本文提出一种基于聚类的随机径向基函数(CRRBF)核函数,作为RBF核的替代方案,在保持相似性能的同时,将超参数简化为聚类数量。CRRBF核首先对高光谱波段进行聚类,然后为每个聚类组随机分配一个核参数值,构建基础RBF核;最终通过累加所有基础核函数得到完整CRRBF核。通过在三个高光谱数据集上开展实验,评估了不同聚类数和训练样本量下,使用CRRBF核训练的SVM性能。结果表明,CRRBF核可实现与或优于RBF核的分类效果,且分类性能对聚类数量变化具有较强鲁棒性,仅有聚类数这一开放参数。

原文摘要 · Abstract (English)

Kernel-based classification methods, particularly the support vector machine (SVM), are among the most common algorithms for hyperspectral data classification. The Radial Basis function (RBF) kernel has earned great popularity in hyperspectral data classification due to its superior performance among other available kernel functions. Nonetheless, the cross-validation technique usually used for tunning the RBF parameter can be time-consuming and may result in sub-optimal values for the parameter. This paper proposed the cluster-based random radial basis function (CRRBF) kernel function as an alternative to the RBF kernel to achieve similar performance with a more manageable parameter, which is the number of clusters. The CRRBF kernel initially clusters the hyperspectral bands and then constructs an RBF kernel with a randomly assigned value as the kernel parameter from each cluster of bands. The final CRRBF kernel is constructed by adding up these basis RBF kernels. We have designed several experiments to evaluate the SVM performance trained with the CRRBF kernel considering a different number of clusters and training samples, using three hyperspectral data sets. The obtained results showed that the CRRBF kernel could provide comparable or better results than the RBF. The results also showed that the classification performance is pretty robust to the number of clusters, as the only open parameter of the CRRBF kernel.

高光谱分类SVMRBF核聚类

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