Tensor Ring Decomposition and its Applications

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

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Multidimensional Data Representations with Tensor Rings

Tensor rings offer a efficient approach to representing multidimensional data. By decomposing complex tensors into a sum of rank-1 matrices, tensor ring representations capture underlying patterns and structures within the data. This factorization promotes dimensionality reduction, allowing for sparse storage and processing of high-dimensional info

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Tensor Ring Decomposition for High-Order Data Analysis

Tensor ring decomposition presents a powerful framework for analyzing high-order data. This read more technique factorizes complex tensors into a sum of simpler matrices, often referred to as core matrices and factor matrices. Thus, tensor ring decomposition enables efficient storage and computation with large datasets by exploiting the underlying

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Tensor Ring Decomposition for Data Representation

Tensor ring decomposition offers a novel approach to data representation by decomposing high-order tensors into a sum of low-rank matrices. This factorization utilizes the inherent structure within data, enabling efficient storage and processing. Applications range from recommender systems to natural language processing, where tensor decomposition

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