基于张量CP分解的不完整数据自适应图特征选择OA
Adaptive Graph Feature Selection Based on Tensor CP Decomposition for Incomplete Data
针对张量数据的特征选择问题是一个需要综合考虑数据多维结构信息和不完整数据的复杂任务.为解决该问题,文中提出了一种基于张量CP(Canonical Polyadic)分解的不完整数据自适应图正则化特征选择算法.通过对数据填补和特征选择的协同设计降低了传统分阶段处理方法的高计算量,有效提高了学习效率.文中利用张量CP分解来精确填补数据的不完整性,并引入基于基尼系数的自适应图结构,从而更准确地将数据的几何结构嵌入到流形学习,不仅有效提升了模型的鲁棒性和计算效率,还获得了数据的最优特征子集.在 6 个公共数据集中的 6 种特征选择算法的对比结果验证了所提算法的有效性.
The feature selection problem for tensor data is a complex task that requires comprehensive consider-ation of the multi-dimensional structure information of the data and incomplete data.To solve this problem,an adap-tive graph regularization feature selection algorithm for incomplete data based on tensor CP(Canonical Polyadic)de-composition is proposed.The collaborative design of data filling and feature selection reduces the high computational load of the traditional staged processing method,effectively improving the learning efficiency.The tensor CP decom-position is utilized to precisely fill the incompleteness of the data.The introduction of an adaptive graph structure based on the Gini coefficient can more accurately embed the geometric structure of the data into manifold learning,which not only effectively enhances the robustness and computational efficiency of the model,but also obtains the op-timal feature subset of the data.Comparison results of six feature selection algorithms on six public datasets verifies the effectiveness of the proposed algorithm.
刘家徐;宋燕;窦军;张亚萌
上海理工大学 光电信息与计算机工程学院,上海 200093上海理工大学 光电信息与计算机工程学院,上海 200093上海理工大学 管理学院,上海 200093上海理工大学 光电信息与计算机工程学院,上海 200093
信息技术与安全科学
特征选择过滤式方法非负CP分解不完整张量数据图拉普拉斯正则化基尼系数优化算法线性分类器
feature selectionfiltering methodnon-negative CP decompositionincomplete tensor datagraph Laplacian regularizationGini coefficientoptimization algorithmlinear classifier
《电子科技》 2026 (6)
1-11,11
国家自然科学基金(62073223)上海市自然科学基金(22ZR1443400)National Natural Science Foundation of China(62073223)Natural Science Foundation of Shanghai(22ZR1443400)
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