Cluster Structure Inference Based on Clustering Stability with Applications to Microarray Data Analysis

<p/> <p>This paper focuses on the stability-based approach for estimating the number of clusters <inline-formula><graphic file="1687-6180-2004-545761-i1.gif"/></inline-formula> in microarray data. The cluster stability approach amounts to performing clustering...

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Main Authors: Giurc&#259;neanu Ciprian Doru, T&#259;bu&#351; Ioan
Format: Article
Language:English
Published: SpringerOpen 2004-01-01
Series:EURASIP Journal on Advances in Signal Processing
Subjects:
Online Access:http://dx.doi.org/10.1155/S1110865704309078
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author Giurc&#259;neanu Ciprian Doru
T&#259;bu&#351; Ioan
author_facet Giurc&#259;neanu Ciprian Doru
T&#259;bu&#351; Ioan
author_sort Giurc&#259;neanu Ciprian Doru
collection DOAJ
description <p/> <p>This paper focuses on the stability-based approach for estimating the number of clusters <inline-formula><graphic file="1687-6180-2004-545761-i1.gif"/></inline-formula> in microarray data. The cluster stability approach amounts to performing clustering successively over random subsets of the available data and evaluating an index which expresses the similarity of the successive partitions obtained. We present a method for automatically estimating <inline-formula><graphic file="1687-6180-2004-545761-i2.gif"/></inline-formula> by starting from the distribution of the similarity index. We investigate how the selection of the hierarchical clustering (HC) method, respectively, the similarity index, influences the estimation accuracy. The paper introduces a new similarity index based on a partition distance. The performance of the new index and that of other well-known indices are experimentally evaluated by comparing the &#147;true&#148; data partition with the partition obtained at each level of an HC tree. A case study is conducted with a publicly available Leukemia dataset.</p>
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spelling doaj.art-396cb173935e4a2da7f118d8f22630d42022-12-22T02:39:10ZengSpringerOpenEURASIP Journal on Advances in Signal Processing1687-61721687-61802004-01-0120041545761Cluster Structure Inference Based on Clustering Stability with Applications to Microarray Data AnalysisGiurc&#259;neanu Ciprian DoruT&#259;bu&#351; Ioan<p/> <p>This paper focuses on the stability-based approach for estimating the number of clusters <inline-formula><graphic file="1687-6180-2004-545761-i1.gif"/></inline-formula> in microarray data. The cluster stability approach amounts to performing clustering successively over random subsets of the available data and evaluating an index which expresses the similarity of the successive partitions obtained. We present a method for automatically estimating <inline-formula><graphic file="1687-6180-2004-545761-i2.gif"/></inline-formula> by starting from the distribution of the similarity index. We investigate how the selection of the hierarchical clustering (HC) method, respectively, the similarity index, influences the estimation accuracy. The paper introduces a new similarity index based on a partition distance. The performance of the new index and that of other well-known indices are experimentally evaluated by comparing the &#147;true&#148; data partition with the partition obtained at each level of an HC tree. A case study is conducted with a publicly available Leukemia dataset.</p>http://dx.doi.org/10.1155/S1110865704309078clustering stabilitynumber of clustershierarchical clustering methodssimilarity indicespartition-distancemicroarray data
spellingShingle Giurc&#259;neanu Ciprian Doru
T&#259;bu&#351; Ioan
Cluster Structure Inference Based on Clustering Stability with Applications to Microarray Data Analysis
EURASIP Journal on Advances in Signal Processing
clustering stability
number of clusters
hierarchical clustering methods
similarity indices
partition-distance
microarray data
title Cluster Structure Inference Based on Clustering Stability with Applications to Microarray Data Analysis
title_full Cluster Structure Inference Based on Clustering Stability with Applications to Microarray Data Analysis
title_fullStr Cluster Structure Inference Based on Clustering Stability with Applications to Microarray Data Analysis
title_full_unstemmed Cluster Structure Inference Based on Clustering Stability with Applications to Microarray Data Analysis
title_short Cluster Structure Inference Based on Clustering Stability with Applications to Microarray Data Analysis
title_sort cluster structure inference based on clustering stability with applications to microarray data analysis
topic clustering stability
number of clusters
hierarchical clustering methods
similarity indices
partition-distance
microarray data
url http://dx.doi.org/10.1155/S1110865704309078
work_keys_str_mv AT giurc259neanucipriandoru clusterstructureinferencebasedonclusteringstabilitywithapplicationstomicroarraydataanalysis
AT t259bu351ioan clusterstructureinferencebasedonclusteringstabilitywithapplicationstomicroarraydataanalysis