Robust low tubal rank tensor recovery using discrete empirical interpolation method with optimized slice/feature selection

Salman Ahmadi-Asl ... [et al.].

Serie: Trabajos publicados del IAR ; no. 1807

Resumen: In this paper, we extend the Discrete Empirical Interpolation Method (DEIM) to the third-order tensor case based on the t-product and use it to select important/significant lateral and horizontal slices/features. The proposed Tubal DEIM (TDEIM) is investi- gated both theoretically and numerically. In particular, the details of the error bounds of the proposed TDEIM method are derived. The experimental results show that the TDEIM can provide more accurate approximations than the existing methods. An application of the proposed method to the supervised classification task is also presented.