0


收紧线性规划松弛用于地图使用消息传递

Tightening LP Relaxations for MAP using Message Passing
课程网址: http://videolectures.net/uai08_sontag_tlpr/  
主讲教师: David Sontag
开课单位: 纽约大学
开课时间: 2007-07-30
课程语种: 英语
中文简介:
线性规划(LP)松弛已经成为在图形模型中寻找最可能(MAP)配置的有力工具。这些松弛可以通过使用诸如信念传播之类的消息传递算法有效地解决,并且当松弛很紧时,可以证明找到MAP配置。然而,在许多实际问题中,标准LP弛豫是不够紧的,这导致了基于高阶簇的LP弛豫的使用。计算成本随着集群的大小成指数增长,并且限制了我们可以使用的集群的数量和类型。我们提出在双LP中单调地解决簇选择问题,迭代地选择有保证改进的簇,并且通过重用现有解决方案快速地重新求解添加的簇。我们的双重信息传递算法在蛋白质侧链放置、蛋白质设计和立体问题中找到MAP构型,在标准LP弛豫失败的情况下。
课程简介: Linear Programming (LP) relaxations have become powerful tools for finding the most probable (MAP) configuration in graphical models. These relaxations can be solved efficiently using message-passing algorithms such as belief propagation and, when the relaxationis tight, provably find the MAP configuration. The standard LP relaxation is not tight enough in many real-world problems, however, and this has lead to the use of higher order cluster-based LP relaxations. The computational cost increases exponentially with the size of the clusters and limits the number and type of clusters we can use. We propose to solve the cluster selection problem monotonically in the dual LP, iteratively selecting clusters with guaranteed improvement, and quickly re-solving with the added clusters by reusing the existing solution. Our dual message-passing algorithm finds the MAP configuration in protein side chain placement, protein design, and stereo problems, in cases where the standard LP relaxation fails.
关 键 词: 机器学习; 图形模型; 人工智能; 计算机科学
课程来源: 视频讲座网
最后编审: 2019-11-04:lxf
阅读次数: 53