论文标题
张量代数及其在数据科学和统计中的应用
Tensor Algebra and its Applications to Data Science and Statistics
论文作者
论文摘要
这项调查概述了数据科学和统计领域的“张量”和“张量产品”的常见应用，无论是隐性和明确的。一个目标是调和文献中“张量”一词的看似不同的用法，并解释这些用法如何表现出一个共同概念的表现。并非所有相关主题都进行了详细讨论，但是尝试简要描述并为主要调查中未包括的一些最重要的主题提供参考。特别注意张量分解。
This survey provides an overview of common applications, both implicit and explicit, of "tensors" and "tensor products" in the fields of data science and statistics. One goal is to reconcile seemingly distinct usages of the term "tensor" in the literature, and to explain how these usages are manifestations of a common concept. Not all relevant topics are discussed in detail, but the attempt is made to briefly describe and give references for some of the most important topics not included in the main survey. Particular attention is given to tensor decompositions.
