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TESI DOCTORAL - La Salle

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clustering count<br />

clustering count<br />

clustering count<br />

60<br />

40<br />

20<br />

Corel Baseline<br />

0<br />

0 0.5 1<br />

φ (NMI)<br />

(a) Baseline<br />

(multimodal)<br />

60<br />

40<br />

20<br />

Corel Baseline M1<br />

0<br />

0 0.5 1<br />

φ (NMI)<br />

(f) Baseline<br />

(image)<br />

60<br />

40<br />

20<br />

Corel Baseline M2<br />

0<br />

0 0.5 1<br />

φ (NMI)<br />

(k) Baseline<br />

(text)<br />

clustering count<br />

clustering count<br />

clustering count<br />

60<br />

40<br />

20<br />

Corel PCA<br />

0<br />

0 0.5 1<br />

φ (NMI)<br />

(b) PCA (multimodal)<br />

60<br />

40<br />

20<br />

Corel PCA M1<br />

0<br />

0 0.5 1<br />

φ (NMI)<br />

(g) PCA (image)<br />

60<br />

40<br />

20<br />

Corel PCA M2<br />

0<br />

0 0.5 1<br />

φ (NMI)<br />

(l) PCA (text)<br />

Appendix B. Experiments on clustering indeterminacies<br />

clustering count<br />

clustering count<br />

clustering count<br />

60<br />

40<br />

20<br />

Corel ICA<br />

0<br />

0 0.5 1<br />

φ (NMI)<br />

(c) ICA (multimodal)<br />

60<br />

40<br />

20<br />

Corel ICA M1<br />

0<br />

0 0.5 1<br />

φ (NMI)<br />

(h) ICA (image)<br />

60<br />

40<br />

20<br />

Corel ICA M2<br />

0<br />

0 0.5 1<br />

φ (NMI)<br />

(m) ICA (text)<br />

clustering count<br />

clustering count<br />

clustering count<br />

60<br />

40<br />

20<br />

Corel NMF<br />

0<br />

0 0.5 1<br />

φ (NMI)<br />

(d) NMF (multimodal)<br />

60<br />

40<br />

20<br />

Corel NMF M1<br />

0<br />

0 0.5 1<br />

φ (NMI)<br />

(i) NMF (image)<br />

60<br />

40<br />

20<br />

Corel NMF M2<br />

0<br />

0 0.5 1<br />

φ (NMI)<br />

(n) NMF (text)<br />

clustering count<br />

clustering count<br />

clustering count<br />

60<br />

40<br />

20<br />

Corel RP<br />

0<br />

0 0.5 1<br />

φ (NMI)<br />

(e) RP (multimodal)<br />

60<br />

40<br />

20<br />

Corel RP M1<br />

0<br />

0 0.5 1<br />

φ (NMI)<br />

60<br />

40<br />

20<br />

(j) RP (image)<br />

Corel RP M2<br />

0<br />

0 0.5 1<br />

φ (NMI)<br />

(o) RP (text)<br />

Figure B.14: Histograms of the φ (NMI) values on the Corel data set obtained on the following<br />

data representations.<br />

B.2.4 IsoLetters data set<br />

The collection of clustering solutions obtained on the IsoLetters artificial multimodal data<br />

collection are presented representation and modality-wise in figure B.16.<br />

In this case, the quality of the clusterings created on the distinct object representations<br />

present two clearly different histogram patterns depending on the modality. For instance,<br />

in the speech modality (figures B.16(e) to B.16(h)), the baseline and RP histograms present<br />

a main and a secondary minor peaks, whereas the PCA and ICA representations yield a<br />

pretty uniform distribution of clusterings. In contrast, a totally different distribution is<br />

found when clustering is run on the visual mode, where a single negatively skewed bell<br />

shape is observed (see figures B.16(i) to B.16(l)).<br />

Finally, it is to note that, regardless of the object representation employed, the early<br />

fusion of the speech and visual features of this data set gives rise to a notable increase in<br />

the quality of the clustering results (a 16.2% in averaged relative terms as regards the top<br />

quality individual clustering solution).<br />

245

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