INVESTIGADORES
CAIAFA Cesar Federico
artículos
Título:
Robust Low-Tubal-rank Tensor Recovery Using Discrete Empirical Interpolation Method with Optimized Slice/Feature Selection
Autor/es:
SALMAN AHMADI-ASL; ANH HUY PHAN; CESAR F. CAIAFA; ANDRZEJ CICHOCKI
Revista:
ADVANCES IN COMPUTATIONAL MATHEMATICS
Editorial:
SPRINGER
Referencias:
Lugar: Berlin; Año: 2024
ISSN:
1019-7168
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 investigated 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.
