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New Exploratory Metabonomic Tools: Visual Cluster Analysis
Clustering is a well–studied problem, where the goal is to divide data into
groups of similar objects using an unsupervised learning method. We introduce a
clustering method on three-way arrays making use of an exploratory visualization
approach.
We first apply a three-way factor model, e.g., a PARAFAC or Tucker3 model, to
model three-way data. We then employ hierarchical clustering techniques based on
standard similarity measures on the loadings of the component matrix
corresponding to the mode of interest. Rather than scatter plots, we exploit
dendrograms to represent the cluster structure. Furthermore, we enable the
graphical display of differences and similarities in the variable modes among
clusters by the use of visualization tools.

For example, when we apply the clustering scheme on a metabonomic dataset
containing HPLC measurements of commercial extracts of St. John’s Wort, the
extracts are clustered as shown in the dendrogram. When clusters corresponding
to preparations 2 and 3 are selected from the dendrogram, elution profiles and
spectral profiles of these preparations can be further explored using the
visualization tools and the compounds accounting for the differences can be
identified successfully.
Reference:
New Exploratory Metabonomic Tools
Evrim Acar, Rasmus Bro, Bonnie Schmidt
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Note: To run the program, you need PLS_Toolbox as well as Statistics Toolbox.
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