基于约束图的鲁棒半监督不相关岭回归聚类

Jian Yong Zhu, Jing Wen Wang, Hui Yang, Fei Ping Nie

科研成果: 期刊稿件文章同行评审

摘要

Ridge regression is utilized to tackle various machine learning tasks due to its simplicity and efficiency, and achieves praiseworthy results. However, when ridge regression is directly applied in clustering, it can easily lead to trivial solutions. To address this problem, this paper proposes a method of robust uncorrelated ridge regression with constraint graph (RURCG). Firstly, the method utilizes the generalized uncorrelated constraints to make the ridge regression embedded in the manifold structure, which guarantees the existence of a closed-form solution for its clustering. Then, to avoid the impact of outlier data for clustering, a binary vector is imposed on the error term of the ridge regression. The element values of this vector contain a definite physical meaning, with its value being 1 if the data are normal, otherwise, the value being 0. Next, a laplace construction is embedded in the ridge regression to obtain the local geometrical structure, which involves the graph matrix containing pairwise constraints and labeling information in order to make the clustering structure more adequate. Finally, an iterative optimization strategy is applied to solve the objective function, and simulation experiments on eight benchmark datasets verify the effectiveness of the proposed method.

投稿的翻译标题Robust semi-supervised uncorrelated ridge regression clustering based on constraint graph
源语言繁体中文
页(从-至)1321-1330
页数10
期刊Kongzhi yu Juece/Control and Decision
40
4
DOI
出版状态已出版 - 4月 2025

关键词

  • auxiliary information
  • binary vector
  • graph regularization
  • ridge regression
  • semi-supervised clustering
  • uncorrelated constraint

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