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2022-03-08
摘要翻译:
本文首次从理论上分析了多项式时间预处理对人工智能中各个领域重要组合问题的影响。我们从约束满足、全局约束、可满足性、非单调和贝叶斯推理等方面考虑问题。我们证明,在复杂性理论假设下,所考虑的问题都不能通过多项式时间预处理归结为一个在输入的结构问题参数(如诱导宽度或后门大小)中大小为多项式的问题核。我们的结果为多项式时间预处理算法对所考虑问题的性能提供了一个坚实的理论边界。
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英文标题:
《Limits of Preprocessing》
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作者:
Stefan Szeider
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最新提交年份:
2011
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分类信息:

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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一级分类:Computer Science        计算机科学
二级分类:Computational Complexity        计算复杂度
分类描述:Covers models of computation, complexity classes, structural complexity, complexity tradeoffs, upper and lower bounds. Roughly includes material in ACM Subject Classes F.1 (computation by abstract devices), F.2.3 (tradeoffs among complexity measures), and F.4.3 (formal languages), although some material in formal languages may be more appropriate for Logic in Computer Science. Some material in F.2.1 and F.2.2, may also be appropriate here, but is more likely to have Data Structures and Algorithms as the primary subject area.
涵盖计算模型,复杂度类别,结构复杂度,复杂度折衷,上限和下限。大致包括ACM学科类F.1(抽象设备的计算)、F.2.3(复杂性度量之间的权衡)和F.4.3(形式语言)中的材料,尽管形式语言中的一些材料可能更适合于计算机科学中的逻辑。在F.2.1和F.2.2中的一些材料可能也适用于这里,但更有可能以数据结构和算法作为主要主题领域。
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英文摘要:
  We present a first theoretical analysis of the power of polynomial-time preprocessing for important combinatorial problems from various areas in AI. We consider problems from Constraint Satisfaction, Global Constraints, Satisfiability, Nonmonotonic and Bayesian Reasoning. We show that, subject to a complexity theoretic assumption, none of the considered problems can be reduced by polynomial-time preprocessing to a problem kernel whose size is polynomial in a structural problem parameter of the input, such as induced width or backdoor size. Our results provide a firm theoretical boundary for the performance of polynomial-time preprocessing algorithms for the considered problems.
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PDF链接:
https://arxiv.org/pdf/1104.5566
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