EAAI Journal 2026 Journal Article
Robust adaptive-neighbor-induced optimization to nonnegative matrix factorization with regularized strategies in the framework of semi-supervised learning
- Jie Guo
- Ting Li
- Jialu Liu
- Zhong Wan
- Fang Zhang
As an efficient tool in artificial intelligence, nonnegative matrix factorization (NMF) is widely used for data clustering and feature discovery, yet existing models are often sensitive to noise and outliers and lack effective mechanisms to exploit limited supervisory information in semi-supervised settings. To address these limitations, this paper proposes a novel robust NMF optimization model within a semi-supervised learning framework, introducing a reconstruction-error-based loss function to bolster robustness and an adaptive neighbor induced strategy to propagate pairwise constraints via dynamic similarity graphs, along with a dataset-adaptive mechanism to refine sample similarity weighting. For this model, we develop an efficient optimization algorithm with convergence guarantees. Extensive experiments on twelve public image and text datasets demonstrate that the proposed method outperforms state-of-the-art alternatives across multiple clustering metrics, confirming its effectiveness in noisy environments and demonstrating its capacity to leverage supervisory information for improved clustering performance.