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2022-03-02
摘要翻译:
我们提出了一种特殊的计算装置,它利用光线来解决子集和问题。该设备有一个类似图形的表示,光线通过遵循节点之间的连接给出的路线来穿过它。节点以一种特殊的方式由弧连接,这使得我们可以生成给定集合的所有可能的子集。对于每个弧,我们要么从给定的集合中分配一个数字,要么分配一个预定义的常数。当光线通过一个弧时,它被延迟了由放置在该弧中的数字所指示的时间量。在目的节点,我们将检查是否有一条射线的总延迟等于子集和问题的目标值(加上一些常数)。
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英文标题:
《Solving the subset-sum problem with a light-based device》
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作者:
Mihai Oltean, Oana Muntean
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最新提交年份:
2007
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分类信息:

一级分类:Computer Science        计算机科学
二级分类:Hardware Architecture        硬件体系结构
分类描述:Covers systems organization and hardware architecture. Roughly includes material in ACM Subject Classes C.0, C.1, and C.5.
涵盖系统组织和硬件架构。大致包括ACM主题课程C.0、C.1和C.5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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一级分类:Computer Science        计算机科学
二级分类:Distributed, Parallel, and Cluster Computing        分布式、并行和集群计算
分类描述:Covers fault-tolerance, distributed algorithms, stabilility, parallel computation, and cluster computing. Roughly includes material in ACM Subject Classes C.1.2, C.1.4, C.2.4, D.1.3, D.4.5, D.4.7, E.1.
包括容错、分布式算法、稳定性、并行计算和集群计算。大致包括ACM学科类C.1.2、C.1.4、C.2.4、D.1.3、D.4.5、D.4.7、E.1中的材料。
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英文摘要:
  We propose a special computational device which uses light rays for solving the subset-sum problem. The device has a graph-like representation and the light is traversing it by following the routes given by the connections between nodes. The nodes are connected by arcs in a special way which lets us to generate all possible subsets of the given set. To each arc we assign either a number from the given set or a predefined constant. When the light is passing through an arc it is delayed by the amount of time indicated by the number placed in that arc. At the destination node we will check if there is a ray whose total delay is equal to the target value of the subset sum problem (plus some constants).
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PDF链接:
https://arxiv.org/pdf/0708.1964
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