Interactive introduction to multi-way analysis
in MATLAB
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Chapter: Handling multi-way data
Contents
This tutorial gives an introduction to multi-way analysis using MATLAB and the N-way Toolbox version 2. The N-way Toolbox is compatible with MATLAB 5.x and higher. An older version of the toolbox is available which is compatible with MATLAB version 4.2 as well (version 1.04). Tutorials for this toolbox are available here.
There are three main multi-way models: PARAFAC and Tucker for decompositions and N-PLS for calibration/regression. N-PLS and Tucker are numerically stable and can hence be used as ordinary two-way methods without considering numerical aspects such as convergence etc. However, these models are not unique. The PARAFAC model is unique under mild conditions, but numerically it is sometimes unstable. Therefore one has to e.g. check convergence by doing multiple runs.
Otherwise the models can be interpreted and used very similar to two-way methods like PCA and PLS as will hopefully be evident from this course
We appreciate all kinds of comments on this course: misspellings, suggestions for improvements, etc.
Download
the toolbox. Uncompress the toolbox and be sure the path is included
in your matlab path. Remember to download the data sets as well, since
they are used throughout this course. After downloading and decompressing the
files, please check the directory of updated files. If there are any files
there, download these and overwrite prior ones.
The material in this course and in the N-way Toolbox are given for free. However, we do appreciate appropriate referencing if you use our stuff. If you wish to refer to this WWW-course use the following:
R. Bro The N-way on-line course on PARAFAC and PLS http://www.models.kvl.dk/courses/; 1998-2002
Next Chapter: Handling multi-way data
The N-way tutorial
Copyright © 1998
R. Bro