Evolutionary Weighted Mean Based Framework for Generalized Median Computation with Application to Strings

A new general framework for generalized median approximation is proposed based on the concept of weighted mean of a pair of objects. It can be easily adopted for different application domains like strings, graphs or clusterings, among others. The framework is validated for strings showing its superiority over the state-of-the-art.

[1]  Michael J. Fischer,et al.  The String-to-String Correction Problem , 1974, JACM.

[2]  Sandro Vega-Pons,et al.  A Survey of Clustering Ensemble Algorithms , 2011, Int. J. Pattern Recognit. Artif. Intell..

[3]  Horst Bunke,et al.  Weighted Mean of a Pair of Graphs , 2001, Computing.

[4]  Vikas Singh,et al.  Ensemble clustering using semidefinite programming with applications , 2010, Machine Learning.

[5]  Abraham Kandel,et al.  On the Weighted Mean of a Pair of Strings , 2002, Pattern Analysis & Applications.

[6]  Ernest Valveny,et al.  Generalized median graph computation by means of graph embedding in vector spaces , 2010, Pattern Recognit..

[7]  Lucas Franek Ensemble algorithms with applications to clustering and image segmentation , 2012 .

[8]  Xiaoyi Jiang,et al.  Generalized median string computation by means of string embedding in vector spaces , 2012, Pattern Recognit. Lett..

[9]  Jeong Seop Sim,et al.  The consensus string problem for a metric is NP-complete , 2003, J. Discrete Algorithms.

[10]  Xiaoyi Jiang,et al.  Weighted mean of a pair of clusterings , 2012, Pattern Analysis and Applications.

[11]  Lior Rokach,et al.  Pattern Classification Using Ensemble Methods , 2009, Series in Machine Perception and Artificial Intelligence.

[12]  Horst Bunke,et al.  On Median Graphs: Properties, Algorithms, and Applications , 2001, IEEE Trans. Pattern Anal. Mach. Intell..

[13]  J. Munkres ALGORITHMS FOR THE ASSIGNMENT AND TRANSIORTATION tROBLEMS* , 1957 .

[14]  Frank Plastria,et al.  On the point for which the sum of the distances to n given points is minimum , 2009, Ann. Oper. Res..