Robust multi-label feature selection with shared label enhancement

摘要

Feature selection has attracted considerable attention due to the wide application of multi-label learning. However, previous methods do not fully consider the relationship between feature sets and label sets but devote attention to either of them. Furthermore, conventional multi-label learning utilizes logical labels to estimate relevance between feature sets and label sets so that the importance of corresponding labels cannot be well reflected. Additionally, numerous irrelevant and redundant labels degrade the classification performance of models. To this end, we propose a multi-label feature selection method named Robust multi-label Feature Selection with shared Label Enhanced (RLEFS). First, we obtain a robust label enhancement term by reconstructing labels from logical labels to numerical labels and imposing \(l_{2,1}\)-norm onto the label enhancement term. Second, RLEFS utilizes the robust label enhancement term to share the similar latent semantic structure between feature matrix and label matrix. Third, local structure is considered to ensure the consistency of label information during the feature selection process. Finally, we integrate the above terms into one joint learning framework, and then, a simple but effective optimization method with provable convergence is proposed to solve RLEFS. Experimental results demonstrate the classification superiority of RLEFS in comparison with seven state-of-the-art methods.