基于布尔权重的双高阶图形学习的子空间学习
Yilong Wei1, Jinlin Ma2, Ziping Ma1
1School of Mathematics and Information Science, North Minzu University, Yinchuan 750021, China.
Entropy (Basel, Switzerland)
|February 26, 2025
概括
本研究介绍了用于双高阶图形学习 (DHBWSL) 的子空间学习,通过考虑样本和特征关系来增强无监督特征选择. DHBWSL有效地保留了当地的几何数据特征,优于现有方法.
科学领域:
- 机器学习 机器学习
- 数据科学数据科学数据科学
- 计算机视觉 计算机视觉
背景情况:
- 亚空间学习对于无监督的特征选择至关重要,识别特征集群以近似原始数据空间.
- 现有的方法经常忽视特征相关性和高阶邻近结构,限制它们捕获内在数据几何学的能力.
- 基于图形的方法经常关注一级社区,未能保留复杂的局部几何特征.
研究的目的:
- 为了解决当前无监督特征选择方法的局限性.
- 提出一个新的框架,用于基于布尔权重 (DHBWSL) 的双高阶图形学习的子空间学习.
- 加强在双重空间中对几何结构信息的利用,并保留当地的几何特征.
主要方法:
- 开发了一个子空间学习框架,结合双图规范化来分析几何结构.
- 引入了具有布尔权重的双高阶图形,用于高阶相邻矩阵的自适应选择.
- 在12个公共数据集上对9个最先进的算法进行了评估.
主要成果:
- 拟议的DHBWSL框架有效地整合了样本和特征关系.
- 使用布尔权重的双高阶图形学习增强了原始数据空间的表示.
- 实验结果显示,DHBWSL显著优于现有的无监督特征选择算法.
结论:
- 通过利用双高阶图形学习,DHBWSL提供了一种强大的无监督特征选择方法.
- 该方法成功地捕捉了内在的空间结构,并保留了当地的几何性质.
- DHBWSL表现出卓越的性能,在该领域提供了宝贵的进步.
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