• Title/Summary/Keyword: directed acyclic graph

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Essential Arcs of a Directed Acyclic Graph

  • Chung, Ee-Suk
    • Management Science and Financial Engineering
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    • v.13 no.1
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    • pp.121-126
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    • 2007
  • Among many graphs, directed acyclic graph(DAG) attracts many researchers due to its nice property of existence of topological sort. In some classic graph problems, it is known that, if we use the aforementioned property, then much efficient algorithms can be generated. So, in this paper, new algorithm for the all-pairs shortest path problem in a DAG is proposed. While the algorithm performing the iteration, it identifies the set of essential arcs which requires in a shortest path. So, the proposed algorithm has a running time of $O(m^*n+m)$, where m, n and $m^*$ denote the number of arcs, number of node, and the number of essential arcs in a DAG, respectively.

Synthesis of Multiple Constant Multiplication Circuits Using GA with Chromosomes Composed of Stack Type Operators

  • Isoo, Yosuke;Toyoshima, Hisamichi
    • Proceedings of the IEEK Conference
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    • 2000.07b
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    • pp.623-626
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    • 2000
  • The purpose of this paper is to find an efficient solution for multiple constant multiplication (MCM) problem. Since the circuit structure can be represented as a directed acyclic graph, evolutionary computing is considered as an effective tool for optimization of circuit synthesis. In this paper, we propose a stack type operator as a chromosome element to synthesize a directed acyclic graph efficiently. This type of chromosome can represent a graph structure with a set of simple symbols and so we can employ the similar method to a conventional GA.

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Lattice Conditional Independence Models Based on the Essential Graph (에센셜 그래프를 바탕으로 한 격자 조건부 독립 모델)

  • Ju Sung, Kim;Myoong Young, Yoon
    • Journal of Korea Society of Industrial Information Systems
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    • v.9 no.2
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    • pp.9-16
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    • 2004
  • Recently, lattice conditional independence models(LCIMs) have been introduced for the analysis of non-monotone missing data patterns and of non-nested dependent regression models. This approach has been successfully applied to solve various problems in data pattern analysis, however, it suffers from computational burden to search LCIMs. In order to cope with this drawback, we propose a new scheme for finding LCIMs based on the essential graph. Also, we show that the class of LCIMs coincides with the class of all transitive acyclic directed graph(TADG) models which are Markov equivalent to a specific acyclic directed graph(ADG) models.

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Combining Local and Global Features to Reduce 2-Hop Label Size of Directed Acyclic Graphs

  • Ahn, Jinhyun;Im, Dong-Hyuk
    • Journal of Information Processing Systems
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    • v.16 no.1
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    • pp.201-209
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    • 2020
  • The graph data structure is popular because it can intuitively represent real-world knowledge. Graph databases have attracted attention in academia and industry because they can be used to maintain graph data and allow users to mine knowledge. Mining reachability relationships between two nodes in a graph, termed reachability query processing, is an important functionality of graph databases. Online traversals, such as the breadth-first and depth-first search, are inefficient in processing reachability queries when dealing with large-scale graphs. Labeling schemes have been proposed to overcome these disadvantages. The state-of-the-art is the 2-hop labeling scheme: each node has in and out labels containing reachable node IDs as integers. Unfortunately, existing 2-hop labeling schemes generate huge 2-hop label sizes because they only consider local features, such as degrees. In this paper, we propose a more efficient 2-hop label size reduction approach. We consider the topological sort index, which is a global feature. A linear combination is suggested for utilizing both local and global features. We conduct experiments over real-world and synthetic directed acyclic graph datasets and show that the proposed approach generates smaller labels than existing approaches.

Network Intrusion Detection Based on Directed Acyclic Graph and Belief Rule Base

  • Zhang, Bang-Cheng;Hu, Guan-Yu;Zhou, Zhi-Jie;Zhang, You-Min;Qiao, Pei-Li;Chang, Lei-Lei
    • ETRI Journal
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    • v.39 no.4
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    • pp.592-604
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    • 2017
  • Intrusion detection is very important for network situation awareness. While a few methods have been proposed to detect network intrusion, they cannot directly and effectively utilize semi-quantitative information consisting of expert knowledge and quantitative data. Hence, this paper proposes a new detection model based on a directed acyclic graph (DAG) and a belief rule base (BRB). In the proposed model, called DAG-BRB, the DAG is employed to construct a multi-layered BRB model that can avoid explosion of combinations of rule number because of a large number of types of intrusion. To obtain the optimal parameters of the DAG-BRB model, an improved constraint covariance matrix adaption evolution strategy (CMA-ES) is developed that can effectively solve the constraint problem in the BRB. A case study was used to test the efficiency of the proposed DAG-BRB. The results showed that compared with other detection models, the DAG-BRB model has a higher detection rate and can be used in real networks.

A Study on Optimal Scheduling with Directed Acyclic Graphs Task onto Multiprocessors (다중프로세서에서 비순환 타스크 그래프의 최적 스케쥴링에 관한 연구)

  • 조민환
    • Journal of the Korea Society of Computer and Information
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    • v.4 no.4
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    • pp.40-46
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    • 1999
  • The task scheduling has an effect on system execution time in a precedence constrained task graph onto the multiprocessor system. This problem is known to be NP-hard. many people made an effort to obtain near optimal schedule. We compared modified critical path schedule with many other methods(CP, MH, DL Swapping) For testing this subject, we created randomly a directed acyclic task graph with many root nodes and terminal nodes simulation result convinced for us that the modified critical path algorithm is superior to the other scheduling algorithm.

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Comparative Study on Static Task Scheduling Algorithms in Global Heterogeneous Environment (전역 이기종 환경에서의 정적 태스크 스케줄링의 비교 연구)

  • Kim Jung-Hwan
    • The KIPS Transactions:PartA
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    • v.13A no.2 s.99
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    • pp.163-170
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    • 2006
  • Most scheduling problems including DAG(Directed Acyclic Graph)-based are known to be NP-complete, so many heuristic-based scheduling algorithms have been researched. HEFT and CPOP are such algorithms which have been devised to be effective in heterogeneous environment. We proposed, in the previous research, three scheduling algorithms which are effective in realistic global heterogeneous environment: CPOC, eCPOPC and eCPOP. In this paper, the heuristics which are used in the above five algorithms will be systematically analyzed. Those algorithms will be also studied experimentally using various benchmarks. Experimental results show that the eCPOC generates better schedules than any other algorithms and the heuristics which are used in the proposed algorithms are effective in the global heterogeneous environment.

Knowledge Representation Using Decision Trees Constructed Based on Binary Splits

  • Azad, Mohammad
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • v.14 no.10
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    • pp.4007-4024
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    • 2020
  • It is tremendously important to construct decision trees to use as a tool for knowledge representation from a given decision table. However, the usual algorithms may split the decision table based on each value, which is not efficient for numerical attributes. The methodology of this paper is to split the given decision table into binary groups as like the CART algorithm, that uses binary split to work for both categorical and numerical attributes. The difference is that it uses split for each attribute established by the directed acyclic graph in a dynamic programming fashion whereas, the CART uses binary split among all considered attributes in a greedy fashion. The aim of this paper is to study the effect of binary splits in comparison with each value splits when building the decision trees. Such effect can be studied by comparing the number of nodes, local and global misclassification rate among the constructed decision trees based on three proposed algorithms.

A Linear Clustering Method for the Scheduling of the Directed Acyclic Graph Model with Multiprocessors Using Genetic Algorithm (다중프로세서를 갖는 유방향무환그래프 모델의 스케쥴링을 위한 유전알고리즘을 이용한 선형 클러스터링 해법)

  • Sung, Ki-Seok;Park, Jee-Hyuk
    • Journal of Korean Institute of Industrial Engineers
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    • v.24 no.4
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    • pp.591-600
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    • 1998
  • The scheduling of parallel computing systems consists of two procedures, the assignment of tasks to each available processor and the ordering of tasks in each processor. The assignment procedure is same with a clustering. The clustering is classified into linear or nonlinear according to the precedence relationship of the tasks in each cluster. The parallel computing system can be modeled with a Directed Acyclic Graph(DAG). By the granularity theory, DAG is categorized into Coarse Grain Type(CDAG) and Fine Grain Type(FDAG). We suggest the linear clustering method for the scheduling of CDAG using the genetic algorithm. The method utilizes a properly that the optimal schedule of a CDAG is one of linear clustering. We present the computational comparisons between the suggested method for CDAG and an existing method for the general DAG including CDAG and FDAG.

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Taxonomy Induction from Wikidata using Directed Acyclic Graph's Centrality (방향 비순환 그래프의 중심성을 이용한 위키데이터 기반 분류체계 구축)

  • Cheon, Hee-Seon;Kim, Hyun-Ho;Kang, Inho
    • Annual Conference on Human and Language Technology
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    • 2021.10a
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    • pp.582-587
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    • 2021
  • 한국어 통합 지식베이스를 생성하기 위해 필수적인 분류체계(taxonomy)를 구축하는 방식을 제안한다. 위키데이터를 기반으로 분류 후보군을 추출하고, 상하위 관계를 통해 방향 비순환 그래프(Directed Acyclic Graph)를 구성한 뒤, 국부적 도달 중심성(local reaching centrality) 등의 정보를 활용하여 정제함으로써 246 개의 분류와 314 개의 상하위 관계를 갖는 분류체계를 생성한다. 워드넷(WordNet), 디비피디아(DBpedia) 등 기존 링크드 오픈 데이터의 분류체계 대비 깊이 있는 계층 구조를 나타내며, 다중 상위 분류를 지닐 수 있는 비트리(non-tree) 구조를 지닌다. 또한, 위키데이터 속성에 기반하여 위키데이터 정보가 있는 인스턴스(instance)에 자동으로 분류를 부여할 수 있으며, 해당 방식으로 실험한 결과 99.83%의 분류 할당 커버리지(coverage) 및 99.81%의 분류 예측 정확도(accuracy)를 나타냈다.

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