• 제목/요약/키워드: Combinatorial similarity

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WHEN ALL PERMUTATIONS ARE COMBINATORIAL SIMILARITIES

  • Viktoriia Bilet;Oleksiy Dovgoshey
    • 대한수학회보
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    • 제60권3호
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    • pp.733-746
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    • 2023
  • Let (X, d) be a semimetric space. A permutation Φ of the set X is a combinatorial self similarity of (X, d) if there is a bijective function f : d(X × X) → d(X × X) such that d(x, y) = f(d(Φ(x), Φ(y))) for all x, y ∈ X. We describe the set of all semimetrics ρ on an arbitrary nonempty set Y for which every permutation of Y is a combinatorial self similarity of (Y, ρ).

응집력 척도를 활용한 계층별-조결합군락화 기법의 개발 (Development of the Combinatorial Agglomerative Hierarchical Clustering Method Using the Measure of Cohesion)

  • 정현태;최인수
    • 품질경영학회지
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    • 제18권1호
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    • pp.48-54
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    • 1990
  • The purpose of this study is to design effective working systems which adapt to change in human needs by developing an method which forms into optimal groups using the measure of cohesion. Two main results can be derived from the study as follows : First, the clustering method based on the entropic measure of cohesion is predominant with respect to any other methods proposed in designing the work groups, since this clustering criterion includes symmetrical relations of total work groups and the dissimilarity as well as the similarity relations of predicate value, the clustering method based on this criterion is suitable for designing the new work structure. Second, total work group is clustered as the workers who have the equal predicate value and then clustering results are produced through the combinatorial agglomerative hierarchical clustering method. This clustering method present more economic results than the method that clustering the total work group do.

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절차지향 소프트웨어로부터 클래스와 상속성 추출 (Extraction of Classes and Hierarchy from Procedural Software)

  • 최정란;박성옥;이문근
    • 한국정보과학회논문지:소프트웨어및응용
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    • 제28권9호
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    • pp.612-628
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    • 2001
  • 본 논문은 절차지향 소프트웨어로부터 클래스와 상속성을 추출하기 위한 방법론을 제안한다. 본 논문에서 제안한 방법론은 모든 경우의 객체 후보군으로부터 정의된 클래스 후보군과 그들의 상속성을 생성하여 클래스 후보군과 영역 모델 사이의 관계성과 유서 정도를 가지고 최고 또는 최적의 클래스 후보군을 선택하는데 초점을 둔다. 클래스와 상속성 추출 방법론은 다음과 같은 두드러진 특징을 가지고 있다. 정적(속성)과 동적(메소드)인 클러스터링 방법을 사용하고, 클래스 후보군의 경우는 추상화에 초점을 두며, m개의 클래스 후보군과 n개의 클래스 후보 사이의 상속 관계의 유사도 측정 즉, 2차원적 유사도 측정은 m개의 클래스 후보와 n개의 클래스 후보 사이의 전체 그룹에 대한 유사도를 구하는 수평적 측정과 클래스 후보군들에서 상속성을 가진 클래스의 집합과 영역 모델에서 같은 클래스 상속성을 가진 클래스 집합 사이의 유사도를 위한 수직적 측정방법이 있다. 이러한 방법론은 최고 또는 최적의 클래스 후보군을 선택하기 위해 제공학 전문가에게 광범위하고 통합적인 환경을 제시하고 있다.

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Test Set Generation for Pairwise Testing Using Genetic Algorithms

  • Sabharwal, Sangeeta;Aggarwal, Manuj
    • Journal of Information Processing Systems
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    • 제13권5호
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    • pp.1089-1102
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    • 2017
  • In software systems, it has been observed that a fault is often caused by an interaction between a small number of input parameters. Even for moderately sized software systems, exhaustive testing is practically impossible to achieve. This is either due to time or cost constraints. Combinatorial (t-way) testing provides a technique to select a subset of exhaustive test cases covering all of the t-way interactions, without much of a loss to the fault detection capability. In this paper, an approach is proposed to generate 2-way (pairwise) test sets using genetic algorithms. The performance of the algorithm is improved by creating an initial solution using the overlap coefficient (a similarity matrix). Two mutation strategies have also been modified to improve their efficiency. Furthermore, the mutation operator is improved by using a combination of three mutation strategies. A comparative survey of the techniques to generate t-way test sets using genetic algorithms was also conducted. It has been shown experimentally that the proposed approach generates faster results by achieving higher percentage coverage in a fewer number of generations. Additionally, the size of the mixed covering arrays was reduced in one of the six benchmark problems examined.

혼합 흐름공정의 할당규칙조합에 관한 연구: 인쇄회로기판 공정을 중심으로 (A Study on Combinatorial Dispatching Decision of Hybrid Flow Shop : Application to Printed Circuit Board Process)

  • 윤성욱;고대훈;김지현;정석재
    • 대한산업공학회지
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    • 제39권1호
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    • pp.10-19
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    • 2013
  • Dispatching rule plays an important role in a hybrid flow shop. Finding the appropriate dispatching rule becomes more challenging when there are multiple criteria, uncertain demands, and dynamic manufacturing environment. Using a single dispatching rule for the whole shop or a set of rules based on a single criterion is not sufficient. Therefore, a multi-criteria decision making technique using 'the order preference by similarity to ideal solution' (TOPSIS) and 'analytic hierarchy process' (AHP) is presented. The proposed technique is aimed to find the most suitable set of dispatching rules under different manufacturing scenarios. A simulation based case study on a PCB manufacturing process is presented to illustrate the procedure and effectiveness of the proposed methodology.

최적에 가까운 군집화를 위한 이단계 방법 (A Two-Stage Method for Near-Optimal Clustering)

  • 윤복식
    • 한국경영과학회지
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    • 제29권1호
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    • pp.43-56
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    • 2004
  • The purpose of clustering is to partition a set of objects into several clusters based on some appropriate similarity measure. In most cases, clustering is considered without any prior information on the number of clusters or the structure of the given data, which makes clustering is one example of very complicated combinatorial optimization problems. In this paper we propose a general-purpose clustering method that can determine the proper number of clusters as well as efficiently carry out clustering analysis for various types of data. The method is composed of two stages. In the first stage, two different hierarchical clustering methods are used to get a reasonably good clustering result, which is improved In the second stage by ASA(accelerated simulated annealing) algorithm equipped with specially designed perturbation schemes. Extensive experimental results are given to demonstrate the apparent usefulness of our ASA clustering method.

Calibrating Thresholds to Improve the Detection Accuracy of Putative Transcription Factor Binding Sites

  • Kim, Young-Jin;Ryu, Gil-Mi;Park, Chan;Kim, Kyu-Won;Oh, Berm-Seok;Kim, Young-Youl;Gu, Man-Bok
    • Genomics & Informatics
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    • 제5권4호
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    • pp.143-151
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    • 2007
  • To understand the mechanism of transcriptional regulation, it is essential to detect promoters and regulatory elements. Various kinds of methods have been introduced to improve the prediction accuracy of regulatory elements. Since there are few experimentally validated regulatory elements, previous studies have used criteria based solely on the level of scores over background sequences. However, selecting the detection criteria for different prediction methods is not feasible. Here, we studied the calibration of thresholds to improve regulatory element prediction. We predicted a regulatory element using MATCH, which is a powerful tool for transcription factor binding site (TFBS) detection. To increase the prediction accuracy, we used a regulatory potential (RP) score measuring the similarity of patterns in alignments to those in known regulatory regions. Next, we calibrated the thresholds to find relevant scores, increasing the true positives while decreasing possible false positives. By applying various thresholds, we compared predicted regulatory elements with validated regulatory elements from the Open Regulatory Annotation (ORegAnno) database. The predicted regulators by the selected threshold were validated through enrichment analysis of muscle-specific gene sets from the Tissue-Specific Transcripts and Genes (T-STAG) database. We found 14 known muscle-specific regulators with a less than a 5% false discovery rate (FDR) in a single TFBS analysis, as well as known transcription factor combinations in our combinatorial TFBS analysis.

MSSSIM 및 쿨백-라이블러 발산 기반 의사 율-왜곡 평가 함수와 복수개의 영상처리 필터를 이용한 동영상 전처리 방법 (Image Processing of Pseudo-rate-distortion Function Based on MSSSIM and KL-Divergence, Using Multiple Video Processing Filters for Video Compression)

  • 석진욱;조승현;김휘용;최진수
    • 방송공학회논문지
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    • 제23권6호
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    • pp.768-779
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    • 2018
  • 본 논문에서는 동영상 화질을 최대한 유지하면서 압축 비트량 절감을 효율적으로 이루기 위해 복수개의 영상처리 필터를 영상의 블록에 따라 선택적으로 적용하고, 영상처리 필터의 선택을 위한 MSSSIM(Multi-Scale Structural SIMilarity) 및 쿨백-라이블러 발산(Kullback-Leibler divergence: KL-Divergence) 기반의 영상 처리 평가 함수를 제안한다. 영상압축의 경우, 영상 내 특징에 따라 화질과 비트량 절감의 특성이 다르며, 이에 따라 단일 목적을 가진 영상처리 필터로서는 화질을 유지하면서, 비트량 절감이라는 목적을 동시에 만족 시키기 어렵다. 이에 따라, 주관적 화질을 최대한 유지하면서, 비트량을 절감시키기 위해 주관적 화질 측도로서 MSSSIM를 사용하고 비트 량 측도를 위하여 쿨백-라이블러 발산을 사용함과 동시에 두 가지 척도를 하나의 척도로 결합시키기 위한 방법을 제안한다. 아울러 제안한 측도를 사용하여 서로 다른 특성을 가진 영상처리 필터를 전처리 필터로 사용할 경우, 주관적 화질을 최대한 유지하면서 비트량 절감을 유지할 수 있도록 동영상 압축이 가능함을 확인할 수 있었다.