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2022-04-08
摘要翻译:
本文引入了一个新的网络可达性问题,其目标是寻找网络中两个节点之间的最可靠路径,该路径表示为有向无环图。该网络中的单个边可能会根据一定的概率发生故障,而这些故障概率可能取决于一个或多个隐变量的值。该问题可以看作是寻找最小代价路径的最短路径问题或寻找最高概率状态序列的Viterbi型问题的推广,其中隐变量的加入引入了以前算法无法处理的相关性。我们给出了刻画这个问题的理论结果,包括一个NP硬度证明。我们还给出了该问题的精确算法和更高效的逼近算法。
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英文标题:
《Reachability Under Uncertainty》
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作者:
Allen Chang, Eyal Amir
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最新提交年份:
2012
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分类信息:

一级分类:Computer Science        计算机科学
二级分类:Data Structures and Algorithms        数据结构与算法
分类描述:Covers data structures and analysis of algorithms. Roughly includes material in ACM Subject Classes E.1, E.2, F.2.1, and F.2.2.
涵盖数据结构和算法分析。大致包括ACM学科类E.1、E.2、F.2.1和F.2.2中的材料。
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一级分类:Computer Science        计算机科学
二级分类:Artificial Intelligence        人工智能
分类描述:Covers all areas of AI except Vision, Robotics, Machine Learning, Multiagent Systems, and Computation and Language (Natural Language Processing), which have separate subject areas. In particular, includes Expert Systems, Theorem Proving (although this may overlap with Logic in Computer Science), Knowledge Representation, Planning, and Uncertainty in AI. Roughly includes material in ACM Subject Classes I.2.0, I.2.1, I.2.3, I.2.4, I.2.8, and I.2.11.
涵盖了人工智能的所有领域,除了视觉、机器人、机器学习、多智能体系统以及计算和语言(自然语言处理),这些领域有独立的学科领域。特别地,包括专家系统,定理证明(尽管这可能与计算机科学中的逻辑重叠),知识表示,规划,和人工智能中的不确定性。大致包括ACM学科类I.2.0、I.2.1、I.2.3、I.2.4、I.2.8和I.2.11中的材料。
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英文摘要:
  In this paper we introduce a new network reachability problem where the goal is to find the most reliable path between two nodes in a network, represented as a directed acyclic graph. Individual edges within this network may fail according to certain probabilities, and these failure probabilities may depend on the values of one or more hidden variables. This problem may be viewed as a generalization of shortest-path problems for finding minimum cost paths or Viterbi-type problems for finding highest-probability sequences of states, where the addition of the hidden variables introduces correlations that are not handled by previous algorithms. We give theoretical results characterizing this problem including an NP-hardness proof. We also give an exact algorithm and a more efficient approximation algorithm for this problem.
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PDF链接:
https://arxiv.org/pdf/1206.5253
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