Multiway data analysis

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Multiway Data Analysis refers to any multiple array can be analyzed through a design and application of multiple methodologies.[1]

History

In 1988, an Italian-Dutch-French-English consortium that organized an international meeting on the Analysis of Multiway Data in Rome.[2] In recent year, the development and application of Multiway Data Analysis has extended to food industry and become an useful tool for chemometricians. [3]

Composition of Multiway Data Analysis

Multiway Data

Following provide a simplex example to describe a changing structure of multiway data:

  • Two-way data looks like a spreadsheet it contains rows and columns.
  • Three-way data looks like a set of spreadsheets such as Excel Workbook such that it contains multiple sheets with every sheet contains rows and columns.
  • Fourth-way data looks like a file folder contains multiple Excel Workbooks.
  • Fifth-way data looks like a company contains multiple file folders with managing multiple file formats (e.g. Excel, MS SQL, Sybase, DB2, ISAM).
  • Sixth-way data looks like a listed company contains multiple subsidiaries they have to manage these multiway data.

Multiway Model

Transforming three-way data into two-way data can have different methodologies.

Multiway Application

Multiway data analysis are employed in multiway application areas so as to address the problem of finding hidden multilinear structure in multiway datasets: [4]

  • Chemistry
  • Neuroscience
  • Social network analysis/web-mining
  • Computer vision
  • Process analysis

References

  1. ^ Coppi, R., S. Bolasco (Eds.): Multiway Data Analysis. North-Holland, Amsterdam 1989, xiv+552 S
  2. ^ Pieter M. Kroonenberg, Applied Multiway Data Analysis, Wiley 2008, pp. xv.
  3. ^ http://curis.ku.dk/ws/files/13035961/rasmus_bro.pdf
  4. ^ http://www.cs.rpi.edu/research/pdf/07-06.pdf