时频域差分熵增强的多线图稳定聚类
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TP183

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国家自然科学基金项目(52127816).


Time-frequency domain differential entropy enhanced stable clustering for multi-line charts
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    摘要:

    多线图是科学研究的重要数据, 常通过聚类分析挖掘其潜在的特征关系. 然而, 仅从单一特征视角进行处理, 容易忽略波形间相关信息, 而多视角聚类有望补充单一视角聚类的不足. 简单扩充视角存在视角间干扰导致聚类性能下降的风险, 因此稳定多视角聚类性能是一项新的挑战. 针对上述问题, 提出面向多线图的时频域差分熵增强的多视角聚类方法(DE-MCC). DE-MCC的核心思想是在不同时序波形构成的多视角基础上, 增加时频域差分熵作为特征强化视角, 提升模型获取多视角互补信息的能力, 并通过权重控制融合不同视角组合得到的软聚类向量, 在保证准确度的同时稳定聚类结果. 所提出的方法在脑电图与材料学电子能级图两种复杂的非平稳多线图数据集上均获得了理想结果. 相较其他先进多视角聚类方法, 脑电图数据的聚类准确率达到79.38%, 多次独立实验结果的标准差减小47.9%, 验证了所提方法的稳定性.

    Abstract:

    Multi-line charts are crucial data in scientific research, which are often analyzed through clustering techniques to uncover underlying characteristic relationships. However, processing from a single feature perspective can easily overlook the interrelations between waveforms. Multi-view clustering has the potential to compensate for the limitations of single-view clustering. But expanding the number of views can introduce interference among views, leading to a decline in clustering performance. Therefore, stabilizing the performance of multi-view clustering presents a new challenge. Addressing these issues, this study proposes a time-frequency domain differential entropy enhanced multi-line chart clustering (DE-MCC) method. The core idea of the DE-MCC is to enhance the feature perspective by adding time-frequency domain differential entropy to the multiple views formed by different temporal waveforms, thereby improving the model's ability to capture complementary information from multiple views. It also involves weight-controlled fusion of soft clustering vectors obtained from different view combinations to ensure accuracy while stabilizing the clustering results. The proposed method has achieved desirable results on two complex non-stationary multi-line chart datasets: electroencephalogram (EEG) and electronic energy level charts in materials science. Compared to other advanced multi-view clustering methods, the clustering accuracy for EEG data reaches 79.38%, and the standard deviation of multiple independent experimental results decreases by 47.9%, demonstrating the stability of the proposed method.

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赵启轩,袁景凌,张鑫,等.时频域差分熵增强的多线图稳定聚类[J].控制与决策,2026,41(2):505-516

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  • 收稿日期:2025-03-04
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  • 在线发布日期: 2026-01-17
  • 出版日期: 2026-02-10
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