Fast optimal leaf ordering for hierarchical clustering

We present the first practical algorithm for the optimal linear leaf ordering of trees that are generated by hierarchical clustering. Hierarchical clustering has been extensively used to analyze gene expression data, and we show how optimal leaf ordering can reveal biological structure that is not observed with an existing heuristic ordering method. For a tree with n leaves, there are 2(n-1) linear orderings consistent with the structure of the tree. Our optimal leaf ordering algorithm runs in time O(n(4)), and we present further improvements that make the running time of our algorithm practical.

Cluster analysis anddisplay of genome-wide…Cluster analysis and display of genome-wide expression patternsComprehensiveIdentification of Cell…Comprehensive Identification of Cell Cycle–regulated Genes of the YeastSaccharomyces cerevisiaeby Microarray HybridizationInterpreting patterns ofgene expression with…Interpreting patterns of gene expression with self-organizing maps: Methods and application to hematopoietic differentiationBroad patterns of geneexpression revealed by…Broad patterns of gene expression revealed by clustering analysis of tumor and normal colon tissues probed by oligonucleotide arraysDistinct types ofdiffuse large B-cell…Distinct types of diffuse large B-cell lymphoma identified by gene expression profilingRemodeling of YeastGenome Expression in…Remodeling of Yeast Genome Expression in Response to Environmental ChangesApplying GeneticAlgorithms To Finding…Applying Genetic Algorithms To Finding The Optimal Gene Order In Displaying The Microarray DataAnalysis of geneexpression profiles…Analysis of gene expression profiles: class discovery and leaf orderingUnsupervised FeatureSelection Via Two-way…Unsupervised Feature Selection Via Two-way Ordering in Gene Expression AnalysisMatArray: a Matlabtoolbox for microarray…MatArray: a Matlab toolbox for microarray dataK-ary clustering withoptimal leaf ordering…K-ary clustering with optimal leaf ordering for gene expression dataPermutMatrix: agraphical environment t…PermutMatrix: a graphical environment to arrange gene expression profiles in optimal linear orderAn Evolutionary Approachfor Gene Expression…An Evolutionary Approach for Gene Expression PatternsRobust multi-scaleclustering of large DNA…Robust multi-scale clustering of large DNA microarray datasets with the consensus algorithmDynamic Range-BasedDistance Measure for…Dynamic Range-Based Distance Measure for Microarray Expressions and a Fast Gene-Ordering AlgorithmClustering cancer geneexpression data: a…Clustering cancer gene expression data: a comparative studyLarge-scale imputationof epigenomic datasets…Large-scale imputation of epigenomic datasets for systematic annotation of diverse human tissuesCooperative Binding ofTranscription Factors…Cooperative Binding of Transcription Factors Orchestrates ReprogrammingFast optimal leafordering for…Fast optimal leaf ordering for hierarchical clustering過去の参考文献中心の論文この論文を引用する論文古い新しい

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