Correlation-based Data Representation

Abstract

The Dagstuhl Seminar 'Similarity-based Clustering and its 
Application to Medicine and Biology' (07131) held in March 25--30, 2007,
provided an excellent atmosphere for in-depth discussions 
about the research frontier of computational methods 
for relevant applications of biomedical clustering and beyond.
We address some highlighted issues about correlation-based data
analysis in this seminar postribution.
First, some prominent correlation measures are briefly revisited.
Then, a focus is put on Pearson correlation, because of its
widespread use in biomedical sciences and because of 
its analytic accessibility.
A connection to Euclidean distance of z-score transformed
data outlined.
Cost function optimization of correlation-based data representation 
is discussed for which, finally, applications to visualization
and clustering of gene expression data are given.