Multi-label Feature Selection based on Label-specific features and Manifold Learning

Each instance in multi-label data is associated with multiple labels, and there are irrelevant or redundant features in its feature space, which leads to the performance degradation of multi-label learning algorithms. Multi-label feature selection selects representative features from the feature space to improve the accuracy of the model. Due to the high cost of labels and the difficulty of data collection, there will be some missing labels in the data set, which affects the accuracy of feature selection. To solve this problem, a multi-label feature selection algorithm based on label-specific features and manifold learning is proposed. The algorithm uses the linear relationship between the features and labels in known label samples to build a linear regression model for learning label-specific features. By using the nonlinear relation between instances and the nonlinear relation between features, we can precisely learn the label-specific features. We use the Laplacian feature mapping method to construct the instance manifold model and the feature manifold model, which are also used as the regular term constraint weight matrix. The final model can not only complete the missing labels, but also select sparse and representative features. The feature selection is carried out by analyzing the weight of the feature given by the final model. Experiments were conducted to verify the effectiveness of the proposed algorithm under different label deletion rates on four evaluation indexes.