Tensor ring decomposition is a powerful technique for understanding high-order tensors. It expresses a tensor as a combination of smaller matrices, effectively reducing its complexity. This factorization allows for efficient analysis and offers numerous implementations across various domains. In the realm of artificial intelligence, tensor ring de

Tensor ring decomposition provides 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 natural language processing, where tensor decompositio