Tensor ring decomposition represents a powerful technique for decomposing high-order tensors. It expresses a tensor as a sum of smaller matrices, effectively reducing its complexity. This representation allows for efficient computation and offers numerous utilization across various domains. … Read More

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 crucial patterns and structures within the data. This factorization enables dimensionality reduction, allowing for compact s… Read More

Tensor ring decomposition offers a powerful framework for analyzing high-order data. This technique factorizes complex tensors into a sum of simpler matrices, often referred to as core matrices and factor matrices. Consequently, tensor ring decomposition enables efficient storage and computation … Read More

Tensor ring decomposition offers 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. Thus, tensor ring decomposition facilitates efficient storage and computation with la… Read More

Tensor ring decomposition offers 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 nat… Read More