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TESI DOCTORAL - La Salle

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List of Tables<br />

5.15 Relative φ (NMI) percentage differences between the best and median components<br />

of the cluster ensemble and the consensus clustering λ final<br />

c selected by<br />

supraconsensus, across the four multimedia data collections . . . . . . . . . 160<br />

6.1 Soft cluster ensemble sizes of the unimodal data sets . . . . . . . . . . . . . 186<br />

6.2 Significance levels p corresponding to the pairwise comparison of soft consensus<br />

functions using a t-paired test on the Zoo data set . . . . . . . . . . . . 187<br />

6.3 Percentage of experiments in which the state-of-the-art consensus functions<br />

(CSPA, EAC, HGPA, MCLA and VMA) yield better/equivalent/worse consensus<br />

clustering solutions than the four proposed consensus functions (BC,<br />

CC, PC and SC) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 188<br />

6.4 Percentage of experiments in which the state-of-the-art consensus functions<br />

(CSPA, EAC, HGPA, MCLA and VMA) are executed faster/equivalent/slower<br />

than the four proposed consensus functions (BC, CC, PC and SC) . . . . . 189<br />

A.1 Cross-option table indicating the clustering strategy-criterion function-similarity<br />

measure combinations available in CLUTO . . . . . . . . . . . . . . . . . . 220<br />

A.2 Summary of the unimodal data sets employed in the experiments . . . . . . 222<br />

A.3 Summary of the multimodal data sets employed in the experiments . . . . . 224<br />

A.4 Cluster ensemble sizes corresponding to distinct algorithmic diversity configurations<br />

for the unimodal data sets . . . . . . . . . . . . . . . . . . . . . . 228<br />

A.5 Cluster ensemble sizes corresponding to distinct algorithmic diversity configurations<br />

for the multimodal data sets . . . . . . . . . . . . . . . . . . . . . 229<br />

B.1 Number of individual clusterings per data representation on each unimodal<br />

data set . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 234<br />

B.2 Top clustering results of each clustering algorithm family sorted from highest<br />

to lowest φ (NMI) on the unimodal collections . . . . . . . . . . . . . . . . . . 242<br />

B.3 Number of individual clusterings per data representation on each multimodal<br />

data set . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 243<br />

B.4 Top clustering results of each clustering algorithm family sorted from highest<br />

to lowest φ (NMI) on the multimodal collections . . . . . . . . . . . . . . . . 248<br />

C.1 Examples of computation of the number of stages s of a RHCA with l =<br />

7, 8and9andb = 2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 250<br />

C.2 Examples of computation of the number of consensus per stage (Ki) ofa<br />

RHCA with l =7, 8 and 9 and b = 2 . . . . . . . . . . . . . . . . . . . . . . 250<br />

C.3 Examples of computation of the mini-ensembles size of a RHCA with l =<br />

7, 8and9andb = 2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 251<br />

C.4 Configuration of RHCA topologies on a cluster ensemble of size l =30with<br />

varying mini-ensembles sizes . . . . . . . . . . . . . . . . . . . . . . . . . . . 251<br />

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