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D.1. Experiments on consensus-based self-refining φ (NMI) φ (NMI) φ (NMI) φ (NMI) φ (NMI) φ (NMI) φ (NMI) 1 0.5 0 1 0.5 0 1 0.5 0 1 0.5 0 1 0.5 0 1 0.5 0 1 0.5 0 CSPA E λc λ c 2 λ c 5 λ c 10 λ c 15 λ c 20 EAC E λc λ c 2 λ c 5 λ c 10 λ c 15 λ c 20 HGPA E λc λ c 2 λ c 5 λ c 10 λ c 15 λ c 20 MCLA E λc λ c 2 λ c 5 λ c 10 λ c 15 λ c 20 ALSAD E λc λ c 2 λ c 5 λ c 10 λ c 15 λ c 20 E λc λ c 2 λ c 5 λ c 10 λ c 15 λ c 20 E λc λ c 2 λ c 5 λ c 10 λ c 15 KMSAD SLSAD (a) flat λ c 30 λ c 40 λ c 50 λ c 60 λ c 75 λ c 90 λ c 30 λ c 40 λ c 50 λ c 60 λ c 75 λ c 90 λ c 30 λ c 40 λ c 50 λ c 60 λ c 75 λ c 90 λ c 30 λ c 40 λ c 50 λ c 60 λ c 75 λ c 90 λ c 30 λ c 40 λ c 50 λ c 60 λ c 75 λ c 90 λ c 30 λ c 40 λ c 50 λ c 60 λ c 75 λ c 90 λ c 20 λ c 30 λ c 40 λ c 50 λ c 60 λ c 75 λ c 90 φ (NMI) φ (NMI) φ (NMI) φ (NMI) φ (NMI) φ (NMI) φ (NMI) 1 0.5 0 1 0.5 0 1 0.5 0 1 0.5 0 1 0.5 0 1 0.5 0 1 0.5 0 CSPA E λc λ c 2 λ c 5 λ c 10 λ c 15 λ c 20 EAC E λc λ c 2 λ c 5 λ c 10 λ c 15 λ c 20 HGPA E λc λ c 2 λ c 5 λ c 10 λ c 15 λ c 20 MCLA E λc λ c 2 λ c 5 λ c 10 λ c 15 λ c 20 ALSAD E λc λ c 2 λ c 5 λ c 10 λ c 15 λ c 20 E λc λ c 2 λ c 5 λ c 10 λ c 15 λ c 20 E λc λ c 2 λ c 5 λ c 10 KMSAD SLSAD (b) RHCA λ c 30 λ c 40 λ c 50 λ c 60 λ c 75 λ c 90 λ c 30 λ c 40 λ c 50 λ c 60 λ c 75 λ c 90 λ c 30 λ c 40 λ c 50 λ c 60 λ c 75 λ c 90 λ c 30 λ c 40 λ c 50 λ c 60 λ c 75 λ c 90 λ c 30 λ c 40 λ c 50 λ c 60 λ c 75 λ c 90 λ c 30 λ c 40 λ c 50 λ c 60 λ c 75 λ c 90 λ c 15 λ c 20 λ c 30 λ c 40 λ c 50 λ c 60 λ c 75 λ c 90 φ (NMI) φ (NMI) φ (NMI) φ (NMI) φ (NMI) φ (NMI) φ (NMI) 1 0.5 0 1 0.5 0 1 0.5 0 1 0.5 0 1 0.5 0 1 0.5 0 1 0.5 0 CSPA E λc λ c 2 λ c 5 λ c 10 λ c 15 λ c 20 EAC E λc λ c 2 λ c 5 λ c 10 λ c 15 λ c 20 HGPA E λc λ c 2 λ c 5 λ c 10 λ c 15 λ c 20 MCLA E λc λ c 2 λ c 5 λ c 10 λ c 15 λ c 20 ALSAD E λc λ c 2 λ c 5 λ c 10 λ c 15 λ c 20 KMSAD E λc λ c 2 λ c 5 λ c 10 λ c 15 λ c 20 E λc λ c 2 λ c 5 λ c 10 SLSAD (c) DHCA λ c 30 λ c 40 λ c 50 λ c 60 λ c 75 λ c 90 λ c 30 λ c 40 λ c 50 λ c 60 λ c 75 λ c 90 λ c 30 λ c 40 λ c 50 λ c 60 λ c 75 λ c 90 λ c 30 λ c 40 λ c 50 λ c 60 λ c 75 λ c 90 λ c 30 λ c 40 λ c 50 λ c 60 λ c 75 λ c 90 λ c 30 λ c 40 λ c 50 λ c 60 λ c 75 λ c 90 λ c 15 λ c 20 λ c 30 λ c 40 λ c 50 λ c 60 λ c 75 λ c 90 Figure D.8: φ (NMI) boxplots of the cluster ensemble E, the original consensus clustering λc and the self-refined consensus clustering solutions λc p i output by the flat, RHCA, and DHCA consensus architectures on the miniNG data collection across all the consensus functions employed. The green dashed vertical line identifies the clustering solution selected by the supraconsensus function in each experiment. 344
φ (NMI) φ (NMI) φ (NMI) φ (NMI) φ (NMI) φ (NMI) φ (NMI) 1 0.5 0 1 0.5 0 1 0.5 0 1 0.5 0 1 0.5 0 1 0.5 0 1 0.5 0 CSPA E λc λ c 2 λ c 5 λ c 10 λ c 15 λ c 20 EAC E λc λ c 2 λ c 5 λ c 10 λ c 15 λ c 20 HGPA E λc λ c 2 λ c 5 λ c 10 λ c 15 λ c 20 MCLA E λc λ c 2 λ c 5 λ c 10 λ c 15 λ c 20 ALSAD E λc λ c 2 λ c 5 λ c 10 λ c 15 λ c 20 E λc λ c 2 λ c 5 λ c 10 λ c 15 λ c 20 E λc λ c 2 λ c 5 λ c 10 λ c 15 KMSAD SLSAD (a) flat Appendix D. Experiments on self-refining consensus architectures λ c 30 λ c 40 λ c 50 λ c 60 λ c 75 λ c 90 λ c 30 λ c 40 λ c 50 λ c 60 λ c 75 λ c 90 λ c 30 λ c 40 λ c 50 λ c 60 λ c 75 λ c 90 λ c 30 λ c 40 λ c 50 λ c 60 λ c 75 λ c 90 λ c 30 λ c 40 λ c 50 λ c 60 λ c 75 λ c 90 λ c 30 λ c 40 λ c 50 λ c 60 λ c 75 λ c 90 λ c 20 λ c 30 λ c 40 λ c 50 λ c 60 λ c 75 λ c 90 φ (NMI) φ (NMI) φ (NMI) φ (NMI) φ (NMI) φ (NMI) φ (NMI) 1 0.5 0 1 0.5 0 1 0.5 0 1 0.5 0 1 0.5 0 1 0.5 0 1 0.5 0 CSPA E λc λ c 2 λ c 5 λ c 10 λ c 15 λ c 20 EAC E λc λ c 2 λ c 5 λ c 10 λ c 15 λ c 20 HGPA E λc λ c 2 λ c 5 λ c 10 λ c 15 λ c 20 MCLA E λc λ c 2 λ c 5 λ c 10 λ c 15 λ c 20 ALSAD E λc λ c 2 λ c 5 λ c 10 λ c 15 λ c 20 E λc λ c 2 λ c 5 λ c 10 λ c 15 λ c 20 E λc λ c 2 λ c 5 λ c 10 KMSAD SLSAD (b) RHCA λ c 30 λ c 40 λ c 50 λ c 60 λ c 75 λ c 90 λ c 30 λ c 40 λ c 50 λ c 60 λ c 75 λ c 90 λ c 30 λ c 40 λ c 50 λ c 60 λ c 75 λ c 90 λ c 30 λ c 40 λ c 50 λ c 60 λ c 75 λ c 90 λ c 30 λ c 40 λ c 50 λ c 60 λ c 75 λ c 90 λ c 30 λ c 40 λ c 50 λ c 60 λ c 75 λ c 90 λ c 15 λ c 20 λ c 30 λ c 40 λ c 50 λ c 60 λ c 75 λ c 90 φ (NMI) φ (NMI) φ (NMI) φ (NMI) φ (NMI) φ (NMI) φ (NMI) 1 0.5 0 1 0.5 0 1 0.5 0 1 0.5 0 1 0.5 0 1 0.5 0 1 0.5 0 CSPA E λc λ c 2 λ c 5 λ c 10 λ c 15 λ c 20 EAC E λc λ c 2 λ c 5 λ c 10 λ c 15 λ c 20 HGPA E λc λ c 2 λ c 5 λ c 10 λ c 15 λ c 20 MCLA E λc λ c 2 λ c 5 λ c 10 λ c 15 λ c 20 ALSAD E λc λ c 2 λ c 5 λ c 10 λ c 15 λ c 20 KMSAD E λc λ c 2 λ c 5 λ c 10 λ c 15 λ c 20 E λc λ c 2 λ c 5 λ c 10 SLSAD (c) DHCA λ c 30 λ c 40 λ c 50 λ c 60 λ c 75 λ c 90 λ c 30 λ c 40 λ c 50 λ c 60 λ c 75 λ c 90 λ c 30 λ c 40 λ c 50 λ c 60 λ c 75 λ c 90 λ c 30 λ c 40 λ c 50 λ c 60 λ c 75 λ c 90 λ c 30 λ c 40 λ c 50 λ c 60 λ c 75 λ c 90 λ c 30 λ c 40 λ c 50 λ c 60 λ c 75 λ c 90 λ c 15 λ c 20 λ c 30 λ c 40 λ c 50 λ c 60 λ c 75 λ c 90 Figure D.9: φ (NMI) boxplots of the cluster ensemble E, the original consensus clustering λc and the self-refined consensus clustering solutions λc p i output by the flat, RHCA, and DHCA consensus architectures on the Segmentation data collection across all the consensus functions employed. The green dashed vertical line identifies the clustering solution selected by the supraconsensus function in each experiment. 345
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C.I.F. G: 59069740 Universitat Ramo
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Resum En segmentar de forma no supe
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Abstract When facing the task of pa
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Contents 2.2.6 Consensus functions
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Contents A.5 Consensus functions .
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Contents D.2.5 WDBC data set . . .
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List of Tables 3.13 Relative percen
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List of Tables 5.15 Relative φ (NM
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List of Figures 1.1 Evolution of th
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List of Figures 4.2 Decreasingly or
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List of Figures C.18 Estimated and
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List of Figures C.49 φ (NMI) of th
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List of Figures D.22 φ (NMI) boxpl
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List of Algorithms 6.1 Symbolic des
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List of symbols OΛ: object co-asso
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Chapter 1. Framework of the thesis
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1.1. Knowledge discovery and data m
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1.1. Knowledge discovery and data m
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1.2. Clustering in knowledge discov
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1.3. Multimodal clustering in clust
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1.4. Clustering indeterminacies exe
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1.4. Clustering indeterminacies The
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1.4. Clustering indeterminacies Dat
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1.5. Motivation and contributions o
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Chapter 2. Cluster ensembles and co
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fuzzy consensus clustering solution
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2.1. Related work on cluster ensemb
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2.2. Related work on consensus func
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3.1. Motivation - the computational
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3.1. Motivation An additional and v
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3.2. Random hierarchical consensus
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3.3. Deterministic hierarchical con
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3.4. Flat vs. hierarchical consensu
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3.5. Discussion Consensus Consensus
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3.5. Discussion separate clustering
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Chapter 4 Self-refining consensus a
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Chapter 4. Self-refining consensus
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- What do we want to measure? Chapt
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φ (NMI) φ (NMI) φ (NMI) φ (NMI)
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φ (NMI) 0.8 0.78 0.76 0.74 0.72 0
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1. Given a cluster ensemble E conta
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%of experiments relative % φ (NMI)
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Publisher: Springer Series: Lecture
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5.1. Generation of multimodal clust
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5.2. Self-refining multimodal conse
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5.3. Multimodal consensus clusterin
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5.4. Discussion Data set Relative
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5.5. Related publications modes joi
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Chapter 6. Voting based consensus f
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6.2. Adapting consensus functions t
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6.3. Voting based consensus functio
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6.4. Experiments λc = 1 1 1 3 3 3
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6.4. Experiments Data set Soft clus
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6.4. Experiments CSPA EAC HGPA MCLA
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6.5. Discussion solutions on hard c
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Chapter 7 Conclusions The contribut
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Chapter 7. Conclusions of-the-art c
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Chapter 7. Conclusions Though put f
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Chapter 7. Conclusions clustering r
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Chapter 7. Conclusions hardened. Ou
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References Ben-Hur, A., D. Horn, H.
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References Deerwester, S., S.-T. Du
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References Fred, A. and A.K. Jain.
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References Ingaramo, D., D. Pinto,
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References Li, S.Z. and G. GuoDong.
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References Sebastiani, F. 2002. Mac
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References Topchy, A., A.K. Jain, a
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Appendix A Experimental setup A.1 T
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Appendix A. Experimental setup g. s
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A.2.1 Unimodal data sets Appendix A
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A.2.2 Multimodal data sets Appendix
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Appendix A. Experimental setup gene
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Appendix A. Experimental setup orig
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Appendix A. Experimental setup Data
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Appendix A. Experimental setup or N
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B.1. Clustering indeterminacies in
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C.1. Configuration of a random hier
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C.2. Estimation of the computationa
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C.4. Computationally optimal RHCA,
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C.4. Computationally optimal RHCA,
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Page 396 and 397: E.1. CAL500 data set φ (NMI) 1 0.8
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Page 420 and 421: F.10. BBC data set φ (NMI) 1 0.8 0
Page 422 and 423: F.11. PenDigits data set φ (NMI) 1
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TESI DOCTORAL - La Salle

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