Multi-way data analysis

Although for some research areas it is a new thing, multi-way data analysis is a multivariate analysis technique that has had a wide appliance in a lot of fields. In dependence of the problem at hand, different types of multi-way data and specific multi-way models already exist. In this report, we give a general panoramic of multi-way data analysis, and some particular aspects needed to be taken into account when modeling such type of data. We describe some of the most used multi-way models and algorithms, outlining advantages and limitations that have been treated in new versions and others that still not. We also dedicate a chapter to describe in a sort of way, the research areas where multi-way analysis is most common, of a widely range of applications this type of data has. It is conclude with an analysis of the open problems that we found in these techniques and some proposals we think can work to solve them