IJ I Let dsingle, daverage be the dissimilarities between a generic pair of clusters I, J. As the names indicate, these dissimilarities are built using single linkage and average linkage, respectively. Briefly ellaborate whether the following inequality holds or not: dsingle IJ Javerage IJ II The following data are acidity measurements (in pH scale) of n = 5 soil samples. The variables measured are results obtained with litmus paper (1) and with electric probe (x2), and the samples (individuals) are labelled as usual 1 to 5 from top to bottom. x1 x2 6.77 6.49 6.48 6.83 6.37 6.09 6.11 6.63 6.62 6.76 With these data, perform agglomerative clustering using the euclidean metric and average linkage. In particular, a) Compute and write the distance matrix between individuals, then report the steps of agglomerative clustering. At each stage of clustering, state the dissimilarity matrix and the new cluster formed.
IJ I Let dsingle, daverage be the dissimilarities between a generic pair of clusters I, J. As the names indicate, these dissimilarities are built using single linkage and average linkage, respectively. Briefly ellaborate whether the following inequality holds or not: dsingle IJ Javerage IJ II The following data are acidity measurements (in pH scale) of n = 5 soil samples. The variables measured are results obtained with litmus paper (1) and with electric probe (x2), and the samples (individuals) are labelled as usual 1 to 5 from top to bottom. x1 x2 6.77 6.49 6.48 6.83 6.37 6.09 6.11 6.63 6.62 6.76 With these data, perform agglomerative clustering using the euclidean metric and average linkage. In particular, a) Compute and write the distance matrix between individuals, then report the steps of agglomerative clustering. At each stage of clustering, state the dissimilarity matrix and the new cluster formed.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:IJ
I Let dsingle, daverage be the dissimilarities between a generic pair of clusters I, J. As the names indicate, these dissimilarities are built using single linkage and
average linkage, respectively. Briefly ellaborate whether the following inequality holds or not:
dsingle
IJ
Javerage
IJ
II The following data are acidity measurements (in pH scale) of n = 5 soil samples. The variables measured are results obtained with litmus paper (1) and with
electric probe (x2), and the samples (individuals) are labelled as usual 1 to 5 from top to bottom.
x1
x2
6.77 6.49
6.48 6.83
6.37 6.09
6.11 6.63
6.62 6.76
With these data, perform agglomerative clustering using the euclidean metric and average linkage. In particular,
a) Compute and write the distance matrix between individuals, then
report the steps of agglomerative clustering. At each stage of clustering, state the dissimilarity matrix and the new cluster formed.
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