Tensor ring decomposition represents a powerful technique for understanding high-order tensors. It expresses a tensor as a combination of smaller matrices, effectively reducing its complexity. This representation allows for efficient processing and offers numerous utilization across various domai
Multidimensional Data Representations with Tensor Rings
Tensor rings offer a novel approach to representing multidimensional data. By decomposing complex tensors into a sum of rank-1 matrices, tensor ring representations capture latent patterns and structures within the data. This factorization facilitates dimensionality reduction, allowing for compac
Tensor Ring Decomposition for High-Order Data Analysis
Tensor ring decomposition employs a powerful framework for analyzing high-order data. This technique reduces complex tensors into a sum of simpler matrices, often referred to as core matrices and factor matrices. Therefore, tensor ring decomposition enables efficient storage and computation with
Tensor Ring Decomposition for Data Representation
Tensor ring decomposition presents a novel approach to data representation by decomposing high-order tensors into a sum of low-rank matrices. This factorization exploits the inherent structure within data, enabling efficient storage and processing. Applications range from recommender systems to n