2022/10/25 by William Krinsman, Krinsman, William
Computer Science · Mathematics · #13P25 #14N07 #15A72 #62-02 (Primary) 15A69 #62R01 (Secondary) #Applications (stat.AP) #Computational Physics and Python Applications #FOS: Computer and information sciences #FOS: Mathematics #Statistics Theory (math.ST) #Tensor decomposition and applications
paper · pdf · doi:10.48550/arxiv.2210.16182
openalex publication_date 2022/10/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.