We are required to process and analyse these data as volumetric data without embedding vector space from the viewpoints of object oriented data analysis.

The mathematical and computational backgrounds of pattern recognition are the geometries in Hilbert space for functional analysis and applied linear algebra ...

Jul 22, 2024 · In the present paper, we are interested in developing iterative Krylov subspace methods in tensor structure to solve a class of multilinear ...

In the present paper, we are interested in developing iterative Krylov subspace methods in tensor structure to solve a class of multilinear systems via the ...

Apr 15, 2021 · This paper discusses several transform-based methods for solving linear discrete ill-posed problems for third order tensor equations based ...

TSA detects the intrinsic local geometrical structure of the tensor space by learning a lower dimensional tensor subspace. We compare our proposed approach with ...

the tensor Krylov subspace method appears to improve with increasing number of dimensions d, assuming that the condition number of A remains constant. This ...

May 15, 2024 · The aim of this paper is to present numerical Tensor Krylov subspace methods for solving Sylvester tensor equation M(X) = C,(1)

In this paper, we propose a new algorithm called Tensor Subspace Analysis (TSA). TSA considers an image as the second order tensor in R n 1 ⊗ R n 2.

Aug 10, 2021 · We introduce a novel tensor subspace-based algorithm to identify the time-varying modal parameters of bridge structures.