【摘 要】
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Tensor, or multiarrays with with at least 3 indices, are ubiquitous in modern appli-cations, mainly due to data explosion. While matrices are well understoo
【机 构】
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UniversityofIllinoisatChicago
【出 处】
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2016年张量和矩阵学术研讨会(International conference on Tensor, Matrix a
论文部分内容阅读
Tensor, or multiarrays with with at least 3 indices, are ubiquitous in modern appli-cations, mainly due to data explosion. While matrices are well understood and widely used, tensors pose theoretical and numerical challenges. Tensors also arise naturally in quantum physics, when dealing with d-particle systems. In this talk we will describe sev-eral fundamental results and problems in tensors: tensor ranks, low rank approximation of tensors, spectral and nuclear norm of tensors, and their relation to the entanglement and nonseparability in quantum information theory.
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