EAAI Journal 2026 Journal Article
A double auto-weighted strategy for multi-view clustering
- Tong Wu
- Gui-Fu Lu
Multi-view clustering (MVC) excels by combining insights from various viewpoints, thereby improving both the precision and stability of clustering outcomes. However, existing MVC algorithms are inevitably affected by noise, leading to a decrease in clustering performance. Furthermore, the high-order correlations between multiple views and the underlying structural information are not effectively utilized. To solve these issues, we propose a double auto-weighted strategy for multi-view clustering (DAWS). Specifically, first, to mitigate the impact of outliers, we design an auto-weighted strategy on data reconstruction errors of each view, which can adaptively assign smaller weight to the feature with larger reconstruction error and assign larger weight to the important feature. Second, we stack these similarity graphs into a tensor and design a novel automatically weighted exponential tensor nuclear norm (AWETNN) to constrain it, which serves as a better alternative to tensor rank. AWETNN adequately considers the physical differences between singular values through a non-convex penalty function, thus more accurately utilizing the high-order correlations between multiple views and the intrinsic structural information. Ultimately, the two stages are merged into a cohesive framework using the augmented Lagrange multiplier method. Compared with ten different algorithms on six different datasets, DAWS consistently takes the lead. Moreover, DAWS converges very quickly, generally within 15–35 iterations.