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  • 标题:Quadratic Programming with Complementarity Constraints for Multidimensional Scaling with City-Block Distances
  • 本地全文:下载
  • 作者:Roger Fletcher ; Nerijus Galiauskas ; Julius Žilinskas
  • 期刊名称:Baltic Journal of Modern Computing
  • 印刷版ISSN:2255-8942
  • 电子版ISSN:2255-8950
  • 出版年度:2014
  • 卷号:2
  • 期号:4
  • 页码:248-259
  • 出版社:Vilnius University, University of Latvia, Latvia University of Agriculture, Institute of Mathematics and Informatics of University of Latvia
  • 摘要:In this paper, we consider an optimization problem arising in multidimensional scaling with city-block distances. The objective function of this problem has many local minimum points and may be even non-differentiable at a minimum point. We reformulate the problem into a problem with convex quadratic objective function, linear and complementarity constraints. In addition, we propose an algorithm to find a local solution of this reformulated problem.
  • 关键词:multidimensional scaling; city-block distances; quadratic programming; active-set;method
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