Abstract

Feature selection is an essential process in the identification task because the irrelevant and redundant features contained in the unselected feature set can reduce both the performance and efficiency of recognition. However, when identifying the underwater targets based on their radiated noise, the diversity of targets, and the complexity of underwater acoustic channels introduce various complex relationships among the extracted acoustic features. For this problem, this paper employs the normalized maximum information coefficient (NMIC) to measure the correlations between features and categories and the redundancy among different features and further proposes an NMIC based feature selection method (NMIC-FS). Then, on the real-world dataset, the average classification accuracy estimated by models such as random forest and support vector machine is used to evaluate the performance of the NMIC-FS. The analysis results show that the feature subset obtained by NMIC-FS can achieve higher classification accuracy in a shorter time than that without selection. Compared with correlation-based feature selection, laplacian score, and lasso methods, the NMIC-FS improves the classification accuracy faster in the process of feature selection and requires the least acoustic features to obtain classification accuracy comparable to that of the full feature set.

Highlights

  • 图 2 展示了以 SVM 为分类模型时 4 种方法的 特征选择过程。 由分类正确率的变化趋势可以看 到,当特征子集规模逐渐增加时,NMIC⁃FS 能够以最 快的速度提升分类正确率。 当特征子集规模为 19 时,其平均分类正确率为 78.0%,与使用全部特征能 够获得的分类正确率相当。 当特征子集规模达到 26 时,平均分类正确率达到 81.2% 并趋于稳定,高 于使用全部特征时的分类正确率。 此时,所选特征 子集中已包含可用于舰船辐射噪声分类的所有相关 信息。 当特征子集规模继续增大时,平均分类正确 率有所下降,这是因为分类模型的复杂度随特征维 数增加,但并没有引入新的有效信息。 总体来讲,同 CFS、LASSO 以及 LS 相比,NMIC⁃FS 能够以更快的 速度提升特征子集的分类正确率,表明其能够从原 有特征集合中快速搜寻到更优的特征子集。 同时, NMIC⁃FS 能够以更少的特征获得等于甚至优于使用 全部特征时的分类性能。

  • Feature selection is an essential process in the identification task because the irrelevant and redundant features contained in the unselected feature set can reduce both the performance and efficiency of recognition

  • How⁃ ever, when identifying the underwater targets based on their radiated noise, the diversity of targets, and the com⁃ plexity of underwater acoustic channels introduce various complex relationships among the extracted acoustic fea⁃ tures

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Summary

Introduction

图 2 展示了以 SVM 为分类模型时 4 种方法的 特征选择过程。 由分类正确率的变化趋势可以看 到,当特征子集规模逐渐增加时,NMIC⁃FS 能够以最 快的速度提升分类正确率。 当特征子集规模为 19 时,其平均分类正确率为 78.0%,与使用全部特征能 够获得的分类正确率相当。 当特征子集规模达到 26 时,平均分类正确率达到 81.2% 并趋于稳定,高 于使用全部特征时的分类正确率。 此时,所选特征 子集中已包含可用于舰船辐射噪声分类的所有相关 信息。 当特征子集规模继续增大时,平均分类正确 率有所下降,这是因为分类模型的复杂度随特征维 数增加,但并没有引入新的有效信息。 总体来讲,同 CFS、LASSO 以及 LS 相比,NMIC⁃FS 能够以更快的 速度提升特征子集的分类正确率,表明其能够从原 有特征集合中快速搜寻到更优的特征子集。 同时, NMIC⁃FS 能够以更少的特征获得等于甚至优于使用 全部特征时的分类性能。 西安交通大学学报, 2011, 45( 12) : 28⁃33 YANG Honghui, DAI Jian, SUN Jincai, et al A New Adaptive Immune Feature Selection Algorithm for Underwater Acoustic Target Classification[ J] . Feature Selection for Clustering: a Review[ M] . Efficient Feature Selection via Analysis of Relevance and Redundancy [ J] .

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