一本将基于AP传播算法的半监督聚类的算方法书.对于聚类研究的很有帮助-The Uncapacitated Facility Location Prob-

lem (UFLP) is one of the most widely stud-

ied discrete location problems, whose appli-

cations arise in a variety of settings. We

tackle the UFLP using probabilistic infer-

ence in a graphical model- an approach that

has received little attention in the past. We

show that the fi xed points of max-product

linear programming (MPLP), a convexifi ed

version of the max-product algorithm, can

be used to construct a solution with a 3-

approximation guarantee for metric UFLP

instances. In addition, we characterize some

scenarios under which the MPLP solution is

guaranteed to be globally optimal. We eval-

uate the performance of both max-sum and

MPLP empirically on metric and non-metric

problems, demonstrating the advantages of

the 3-approximation construction and algo-

rithm applicability to non-metric instances.