The subject of Tensor Analysis deals with the problem of the formulation of the relation between various entities in forms which remain invariant when we pass from one system of coordinates to another ...

The notion of a tensor is developed in terms presumed familiar to the reader; tensors are shown to be a natural outgrowth and extension of vectors and matrices. The paper begins with an elementary ...

Tensor analysis has emerged as a fundamental mathematical framework in elucidating complex interactions within quantum physics and elasticity. In quantum physics, tensors facilitate the ...

Tensor analysis is an essential tool in any science (e.g. engineering, physics, mathematical biology) that employs a continuum description. This concise text offers a straightforward treatment of the ...

Our findings demonstrate that tensor decomposition is a feasible alternative method for analyzing fNIRS signals, offering a more comprehensive understanding of the data and its underlying patterns.

In response to the increasing need to analyze longitudinal imaging data, we propose several tensor generalized estimating equations (GEEs). The proposed GEE approach accounts for intra-subject ...

Sparse tensor operations are increasingly important in diverse applications such as social networks, deep learning, diagnosis, crime, and review analysis. However, a major obstacle in sparse tensor ...