Progress in Artificial Life
DOI: 10.1007/978-3-540-76931-6_14
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An Integrated QAP-Based Approach to Visualize Patterns of Gene Expression Similarity

Abstract: This paper illustrates how the Quadratic Assignment Problem (QAP) is used as a mathematical model that helps to produce a visualization of microarray data, based on the relationships between the objects (genes or samples). The visualization method can also incorporate the result of a clustering algorithm to facilitate the process of data analysis. Specifically, we show the integration with a graph-based clustering algorithm that outperforms the results against other benchmarks, namely k−means and self-organizi… Show more

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Cited by 17 publications
(9 citation statements)
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“…In this section, we report on the results of applying our second method of differential gene (co-)expression analysis. A kNN-MST clustering algorithm [172] , [173] was applied to the detection p-value prefiltered whole genome mRNA expression data set (19,000 probes) to produce a clustering of nodes. More formally, the clustering result is a forest, a collection of disjoint graphs such that each component is a tree (a connected graph with no cycles).…”
Section: Resultsmentioning
confidence: 99%
“…In this section, we report on the results of applying our second method of differential gene (co-)expression analysis. A kNN-MST clustering algorithm [172] , [173] was applied to the detection p-value prefiltered whole genome mRNA expression data set (19,000 probes) to produce a clustering of nodes. More formally, the clustering result is a forest, a collection of disjoint graphs such that each component is a tree (a connected graph with no cycles).…”
Section: Resultsmentioning
confidence: 99%
“…To compare our method with other clustering methods, we applied six well-known distance-based clustering techniques on the Complete dataset and the five reduced datasets ( G1-G5 ). The selected clustering methods for comparisons are: a well-known implementation of the k-means method named k-means++ [ 81 ], one unsupervised graph-based clustering algorithm named MST-kNN [ 32 ], and four popular hierarchical clustering methods: 1)Complete-linkage, 2)Average-linkage, 3)Single-linkage and 4)Ward’s algorithm.…”
Section: Resultsmentioning
confidence: 99%
“…MST-kNN is an unsupervised graph clustering technique proposed by Inostroza-Ponta et. al [ 32 ]. This method works by partitioning the minimum spanning tree using the k-nearest neighbour graph with an adaptive determination of the number of clusters.…”
Section: Resultsmentioning
confidence: 99%
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“…Then, we use the result of the MSTkNN clustering algorithm [40] to produce the integrated clustering/layout of the 79 samples.…”
Section: Resultsmentioning
confidence: 99%