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统一调查信仰可满足性的传播方式

Unified survey-belief propagation approach for satisfiability
课程网址: http://videolectures.net/oiml05_pretti_usbpa/  
主讲教师: Marco Pretti
开课单位: 都灵理工大学
开课时间: 2007-02-25
课程语种: 英语
中文简介:
在这篇文章中,我将讨论一个改进的消息传递BP(信念传播)程序,它通常可以用来最小化统计物理中自由能的变分。通过一个简单的映射,该算法可以很容易地应用于组合优化问题,如3-可满足性、NP硬问题的原型。我证明了该方法也可以扩展到SP(Survey Propagation)框架,这是一种新提出的算法,它仍然利用从统计物理中借用的技术,克服了在接近“sat-unsat”转换的硬实例上本地搜索算法遇到的问题。这就可以获得一个统一且相当稳定的消息传递方案,该方案既可用于“完全副本对称破坏”区域(一般的信念传播通常不收敛),也可用于“SAT UNSAT转换”附近的“硬”区域,该区域允许解算由“调查激励的抽取”生成的子公式。
课程简介: In this talk I shall discuss a modified message-passing BP (Belief Propagation) procedure, which can be generally used to minimize variational Bethe free energies in statistical physics. By a straightforward mapping, this algorithm can be easily applied to combinatorial optimization problems, such as 3-satisfiability, the prototype of NP-hard problems. I show that the method can be also extended to the framework of SP (Survey Propagation), a recently proposed algorithm which, still making use of techniques borrowed from statistical physics, overcomes problems encountered by local search algorithms on hard instances close to the ``SAT-UNSAT'' transition. This allows to obtain a unified and quite stable message passing scheme, which can be used both in the ``full replica-symmetry-breaking'' region, where ordinary Belief Propagation usually does not converge, and in the ``hard'' region near the sat-unsat transition, where it allows to solve subformulae generated by ``survey inspired decimation''.
关 键 词: 统计物理; 组合优化; 消息传递方案
课程来源: 视频讲座网
最后编审: 2020-06-02:张荧(课程编辑志愿者)
阅读次数: 53