In recent years, alignment-free methods have been widely applied in comparing genome sequences, as these methods compute efficiently and provide desirable phylogenetic analysis results. These methods have been successfully combined with hierarchical clustering methods for finding phylogenetic trees. However, it may not be suitable to apply these alignment-free methods directly to existing statistical classification methods, because an appropriate statistical classification theory for integrating with the alignment-free representation methods is still lacking. In this article, we propose a discriminant analysis method which uses the discrete wavelet packet transform to classify whole genome sequences. The proposed alignment-free representation statistics of features follow a joint normal distribution asymptotically. The data analysis results indicate that the proposed method provides satisfactory classification results in real time.

中文翻译：

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基于离散小波包变换的全基因组序列判别分析。

近年来，无比对方法已被广泛用于比较基因组序列，因为这些方法可以高效计算并提供理想的系统发育分析结果。这些方法已成功地与分层聚类方法相结合，以找到系统发育树。但是，将这些无对齐方法直接应用于现有的统计分类方法可能并不适合，因为仍然缺少用于与无对齐表示方法集成的适当统计分类理论。在本文中，我们提出了一种判别分析方法，该方法使用离散小波包变换对整个基因组序列进行分类。提出的特征的无对齐表示统计量渐近遵循联合正态分布。