A Support Tensor Train Machine
This work addresses a domain-specific problem in tensor-based machine learning for researchers and practitioners dealing with high-dimensional data, but it is incremental as it builds on existing STM methods.
The paper tackled the limited expressive power of rank-one tensors in support tensor machines (STMs) by introducing a support tensor train machine (STTM) that uses a tensor train instead, and experiments showed its superiority over SVM and STM.
There has been growing interest in extending traditional vector-based machine learning techniques to their tensor forms. An example is the support tensor machine (STM) that utilizes a rank-one tensor to capture the data structure, thereby alleviating the overfitting and curse of dimensionality problems in the conventional support vector machine (SVM). However, the expressive power of a rank-one tensor is restrictive for many real-world data. To overcome this limitation, we introduce a support tensor train machine (STTM) by replacing the rank-one tensor in an STM with a tensor train. Experiments validate and confirm the superiority of an STTM over the SVM and STM.