Support Multimode Tensor Machine for Multiple Classification on Industrial Big Data

Supervised machine learning algorithms, especially classification algorithms, have been widely used in data analysis of industrial big data. Among them, the support vector machine (SVM) has achieved great success in the binary classification of some areas like image processing, computer vision, and pattern recognition. However, an SVM cannot achieve the desirable classification results for heterogeneous and high-dimensional data generated from thousands of industrial sensors in physical environments, because the traditional vector-based and feature-aligned SVM algorithm may result in loss of structural information and rich context information. Although the support tensor machine (STM) has extended the traditional vector-based SVM to tensor space, it fails to deal with multiple classification problems. Therefore, designing a general multiple classification algorithm for heterogeneous and high-dimensional data is a challenging but promising topic. To achieve this goal, this article presents a support multimode tensor machine (SMTM) algorithm by applying the multimode product to generalize the formulation of the STM. Furthermore, this article presents an efficient algorithm to train the parameters. Experiments conducted on various data sets validate the better performance of the SMTM over other algorithms in the multiple classification and imply the potential of the proposed model for multiple classification on industrial big data.