An Approximation Ratio for Biclustering

dc.creatorPuolamäki, Kai
dc.creatorHanhijärvi, Sami
dc.creatorGarriga, Gemma C.
dc.date2007-12-17
dc.date2008-08-22
dc.date.accessioned2026-07-07T09:57:35Z
dc.date.available2026-07-07T09:57:35Z
dc.descriptionThe problem of biclustering consists of the simultaneous clustering of rows and columns of a matrix such that each of the submatrices induced by a pair of row and column clusters is as uniform as possible. In this paper we approximate the optimal biclustering by applying one-way clustering algorithms independently on the rows and on the columns of the input matrix. We show that such a solution yields a worst-case approximation ratio of 1+sqrt(2) under L1-norm for 0-1 valued matrices, and of 2 under L2-norm for real valued matrices.
dc.description9 pages, 2 figures; presentation clarified, replaced to match the version to be published in IPL
dc.identifierhttps://arxiv.org/abs/0712.2682
dc.identifierhttp://arxiv.org/abs/0712.2682
dc.identifierInformation Processing Letters 108 (2008) 45-49
dc.identifierdoi:10.1016/j.ipl.2008.03.013
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/167394
dc.subjectData Structures and Algorithms
dc.subjectMachine Learning
dc.titleAn Approximation Ratio for Biclustering
dc.typetext

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