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TESI DOCTORAL - La Salle

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Chapter 5. Multimedia clustering based on cluster ensembles<br />

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Figure 5.2: Deterministic hierarchical consensus architecture DRM variant operating on<br />

a cluster ensemble created using three diversity factors: three dimensionality |dfD| =3of<br />

three object representations |dfR| = 3 and three modalities |dfM| = 3. The cluster ensemble<br />

component obtained upon the jth object representation with the ith dimensionality on the<br />

kth modality is denoted as λi,j,k. Consensus are sequentially created across the dimension,<br />

representation and modality diversity factors (dfD, dfR and dfM, respectively).<br />

ii) In section 5.3.2, we analyze the quality of the self-refined intermodal consensus<br />

clusterings λc p i obtained upon select cluster ensembles containing a percentage<br />

pi of the partitions of the original multimodal cluster ensemble E. Moreover,<br />

we also evaluate the performance of the supraconsensus function as a means<br />

for selecting, in a fully unsupervised manner, the top quality (either refined or<br />

non-refined) consensus clustering.<br />

– How do we measure it?<br />

i) The quality of the unimodal, multimodal and intermodal consensus clusterings<br />

obtained is evaluated in terms of their φ (NMI) with respect to the ground truth of<br />

the data set. Inter-consensus clusterings comparisons are conducted in terms of<br />

their relative percentage φ (NMI) differences, and the percentage of experiments in<br />

which one of them attains higher φ (NMI) scores than the rest. Moreover, comparisons<br />

between the consensus clusterings and their associated cluster ensembles<br />

are made in terms of relative percentage φ (NMI) differences, the percentage of<br />

139

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