Global and local multi-view multi-label learning with incomplete views and labels

Multi-view multi-label learning is widely used in multiple fields, and it aims to process data sets represented by multiple forms (views) and labeled by multiple classes. But most real-world data sets maybe loss some labels and views due to lack of manpower and equipment failure and this causes some difficulties in processing data sets. In this paper, we develop a global and local multi-view multi-label learning with incomplete views and labels (GLMVML-IVL) to process this. In GLMVML-IVL, the usage of label-specific features indicates that class label is determined by some specific features rather than all features; global and local label correlations are taken into consideration with clustering technology; the construction of the pseudo-class label matrix offsets the defect of missing (partial) labels; the adoption of low-rank assumption matrix restores incomplete views; a consensus multi-view representation is put to use to encode the complementary information from different views; the regularizer imposed on label matrix reflects the partial pairwise constraints. Different from traditional methods, this is the first attempt to design a multi-view multi-label learning method with incomplete views and labels by the learning of label-specific features, pseudo-class label matrix, low-rank assumption matrix, global and local label correlations, complementary information, and regularizer imposed on label matrix. Experimental results validate that GLMVML-IVL improves the performance of traditional multi-view multi-label learning methods in statistical and achieves a better performance.