摘要翻译:
这篇文章是对算法随机性的过去、现在和未来的一个简短的个人叙述,强调了它在归纳推理和人工智能中的作用。它是为对科学和哲学感兴趣的普通观众写的。直观地说,随机性是缺乏秩序或可预测性。如果随机性是决定论的对立面,那么算法随机性就是可计算性的对立面。除了许多其他的东西,这些概念已经被用来量化奥卡姆剃刀,解决归纳问题,并定义智能。
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英文标题:
《Algorithmic Randomness as Foundation of Inductive Reasoning and
Artificial Intelligence》
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作者:
Marcus Hutter
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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:Information Theory 信息论
分类描述:Covers theoretical and experimental aspects of information theory and coding. Includes material in ACM Subject Class E.4 and intersects with H.1.1.
涵盖信息论和编码的理论和实验方面。包括ACM学科类E.4中的材料,并与H.1.1有交集。
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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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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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一级分类:Mathematics 数学
二级分类:Information Theory 信息论
分类描述:math.IT is an alias for cs.IT. Covers theoretical and experimental aspects of information theory and coding.
它是cs.it的别名。涵盖信息论和编码的理论和实验方面。
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英文摘要:
This article is a brief personal account of the past, present, and future of algorithmic randomness, emphasizing its role in inductive inference and artificial intelligence. It is written for a general audience interested in science and philosophy. Intuitively, randomness is a lack of order or predictability. If randomness is the opposite of determinism, then algorithmic randomness is the opposite of computability. Besides many other things, these concepts have been used to quantify Ockham's razor, solve the induction problem, and define intelligence.
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PDF链接:
https://arxiv.org/pdf/1102.2468