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基于持续同调的改进K-means算法:拓扑特征驱动的聚类优化与性能提升
针对传统K-means算法初始中心敏感、聚类结果不稳定等问题,武汉理工大学团队创新性地将拓扑数据分析工具——持续同调(Persistent Homology)引入聚类分析,提出PH-K-means算法。该算法通过计算最长Betti数长度确定k个初始聚类中心,在7个常用数据集上验证显示:相比K ...
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