• Title/Summary/Keyword: Divide and conquer

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A Compact Divide-and-conquer Algorithm for Delaunay Triangulation with an Array-based Data Structure (배열기반 데이터 구조를 이용한 간략한 divide-and-conquer 삼각화 알고리즘)

  • Yang, Sang-Wook;Choi, Young
    • Korean Journal of Computational Design and Engineering
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    • v.14 no.4
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    • pp.217-224
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    • 2009
  • Most divide-and-conquer implementations for Delaunay triangulation utilize quad-edge or winged-edge data structure since triangles are frequently deleted and created during the merge process. How-ever, the proposed divide-and-conquer algorithm utilizes the array based data structure that is much simpler than the quad-edge data structure and requires less memory allocation. The proposed algorithm has two important features. Firstly, the information of space partitioning is represented as a permutation vector sequence in a vertices array, thus no additional data is required for the space partitioning. The permutation vector represents adaptively divided regions in two dimensions. The two-dimensional partitioning of the space is more efficient than one-dimensional partitioning in the merge process. Secondly, there is no deletion of edge in merge process and thus no bookkeeping of complex intermediate state for topology change is necessary. The algorithm is described in a compact manner with the proposed data structures and operators so that it can be easily implemented with computational efficiency.

A Divide-and-Conquer Algorithm for Rigging Elections Problem

  • Lee, Sang-Un
    • Journal of the Korea Society of Computer and Information
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    • v.20 no.12
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    • pp.101-106
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    • 2015
  • This paper suggests heuristic algorithm with polynomial time complexity for rigging elections problem that can be obtain the optimal solution using linear programming. The proposed algorithm transforms the given problem into adjacency graph. Then, we divide vertices V into two set W and D. The set W contains majority distinct and the set D contains minority area. This algorithm applies divide-and-conquer method that the minority area D is include into majority distinct W. While this algorithm using simple rule, that can be obtains the optimal solution equal to linear programing for experimental data. This paper shows polynomial time solution finding rule potential in rigging elections problem.

Divide and conquer kernel quantile regression for massive dataset (대용량 자료의 분석을 위한 분할정복 커널 분위수 회귀모형)

  • Bang, Sungwan;Kim, Jaeoh
    • The Korean Journal of Applied Statistics
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    • v.33 no.5
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    • pp.569-578
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    • 2020
  • By estimating conditional quantile functions of the response, quantile regression (QR) can provide comprehensive information of the relationship between the response and the predictors. In addition, kernel quantile regression (KQR) estimates a nonlinear conditional quantile function in reproducing kernel Hilbert spaces generated by a positive definite kernel function. However, it is infeasible to use the KQR in analysing a massive data due to the limitations of computer primary memory. We propose a divide and conquer based KQR (DC-KQR) method to overcome such a limitation. The proposed DC-KQR divides the entire data into a few subsets, then applies the KQR onto each subsets and derives a final estimator by aggregating all results from subsets. Simulation studies are presented to demonstrate the satisfactory performance of the proposed method.

A Switchbox Router using Divide-and-Conquer Technique (Divide and Conquer 기법을 사용한 스위치박스 배선기)

  • 이성호;정종화
    • Journal of the Korean Institute of Telematics and Electronics A
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    • v.30A no.3
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    • pp.104-113
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    • 1993
  • A new switchbox router, called CONQUEROR, is proposed in this paper. The proposed CONQUEROR efficiently routes large switchbox routing area using divide-and-conquer technique. The CONQUEROR consists of three phases` namely, partition of large routing area and assignment of optimal pins of sub-area, detailed routing of each sub-ared, reassignment of pins after rip-up. First, large switchbox routing area is partitioned into several sub-areas and each sub-area contains 4-6 detailed grids. Then pins are assigned on boundary of sub-area by the estimated weight. Secondly, when global pin assignment is completed on all sub-areas, each sub-area is routed using detailed router. Also, detailed routing consists of three pases` layerless maze routing, assignment of layer using coloring, and rip-up and reroute. Lastly, if detailed routing of any sub-area fails,reassignment of pins after rip-up is invoked. Detailed routing is performed for the failed sub-area again. Benchmark test cases have been run, and on all the benchmark data known in the literature CONQUEROR has performed as well as or better than existing switchbox routers.

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Stereo matching using the divide-and-conquer method in the disparity space image (시차 공간에서 divide-and-conquer 방법을 이용한 스테레오 정합)

  • 이종민;김대현;윤용인;최종수
    • Proceedings of the IEEK Conference
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    • 2003.11a
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    • pp.179-182
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    • 2003
  • This paper proposes a new stereo matching algorithm using both the divide-and-conquer method and the DSI(Disparity Space Image) technique. Firstly, we find salient feature points on the each scanline of the left image and find the corresponding feature point at the right image. Then the problem of a scanline is divided into several subproblems. By this way, matching of the subintervals is implemented by using the DSI technique. The DSI technique for stereo matching process is a very efficient solution to find matches and occlusions simultaneously and it is very speedy. In addition, we apply three occluding patterns to process occluded regions, as a result, we reduce mismatches at the disparity discontinuity.

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DAC (Divide-And- Conquer) Based Segmentation Algorithm (DAC(Divide-And-Conquer) 기반 분할 알고리즘)

  • Koo, Chan-Mo;Wang, Gi-Nam
    • Annual Conference of KIPS
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    • 2001.10a
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    • pp.781-784
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    • 2001
  • 본 논문은 음운 및 음향학적인 정보를 최대한 이용하고 분할에러를 줄이기 위해서 조절 메카니즘의 하나로 DAC(Divide And Conquer)개념을 사용하여 음성을 speechlet으로 나누고(signal localization) 나누어진 음성구간에 대해서 레이블링을 시도(case study)하는 DAC기반 분할알고리즘을 제안한다. HMM과 같은 통계학적인 방법을 이용하지 않고 음운학적, 음향학적 지식만을 이용하는 신뢰할 수 있는 분할 알고리즘이며 대용량 음성DB에 대한 레이블링 작업을 단시간에 수행할 수 있고 일관성이 있으며 효과적인 음성엔진 구현 및 음성합성, 화자인증에도 이용 가치가 높다.

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Model selection via Bayesian information criterion for divide-and-conquer penalized quantile regression (베이즈 정보 기준을 활용한 분할-정복 벌점화 분위수 회귀)

  • Kang, Jongkyeong;Han, Seokwon;Bang, Sungwan
    • The Korean Journal of Applied Statistics
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    • v.35 no.2
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    • pp.217-227
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    • 2022
  • Quantile regression is widely used in many fields based on the advantage of providing an efficient tool for examining complex information latent in variables. However, modern large-scale and high-dimensional data makes it very difficult to estimate the quantile regression model due to limitations in terms of computation time and storage space. Divide-and-conquer is a technique that divide the entire data into several sub-datasets that are easy to calculate and then reconstruct the estimates of the entire data using only the summary statistics in each sub-datasets. In this paper, we studied on a variable selection method using Bayes information criteria by applying the divide-and-conquer technique to the penalized quantile regression. When the number of sub-datasets is properly selected, the proposed method is efficient in terms of computational speed, providing consistent results in terms of variable selection as long as classical quantile regression estimates calculated with the entire data. The advantages of the proposed method were confirmed through simulation data and real data analysis.

An Efficient Multidimensional Scaling Method based on CUDA and Divide-and-Conquer (CUDA 및 분할-정복 기반의 효율적인 다차원 척도법)

  • Park, Sung-In;Hwang, Kyu-Baek
    • Journal of KIISE:Computing Practices and Letters
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    • v.16 no.4
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    • pp.427-431
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    • 2010
  • Multidimensional scaling (MDS) is a widely used method for dimensionality reduction, of which purpose is to represent high-dimensional data in a low-dimensional space while preserving distances among objects as much as possible. MDS has mainly been applied to data visualization and feature selection. Among various MDS methods, the classical MDS is not readily applicable to data which has large numbers of objects, on normal desktop computers due to its computational complexity. More precisely, it needs to solve eigenpair problems on dissimilarity matrices based on Euclidean distance. Thus, running time and required memory of the classical MDS highly increase as n (the number of objects) grows up, restricting its use in large-scale domains. In this paper, we propose an efficient approximation algorithm for the classical MDS based on divide-and-conquer and CUDA. Through a set of experiments, we show that our approach is highly efficient and effective for analysis and visualization of data consisting of several thousands of objects.

Divide and Conquer Strategy for CNN Model in Facial Emotion Recognition based on Thermal Images (얼굴 열화상 기반 감정인식을 위한 CNN 학습전략)

  • Lee, Donghwan;Yoo, Jang-Hee
    • Journal of Software Assessment and Valuation
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    • v.17 no.2
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    • pp.1-10
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    • 2021
  • The ability to recognize human emotions by computer vision is a very important task, with many potential applications. Therefore the demand for emotion recognition using not only RGB images but also thermal images is increasing. Compared to RGB images, thermal images has the advantage of being less affected by lighting conditions but require a more sophisticated recognition method with low-resolution sources. In this paper, we propose a Divide and Conquer-based CNN training strategy to improve the performance of facial thermal image-based emotion recognition. The proposed method first trains to classify difficult-to-classify similar emotion classes into the same class group by confusion matrix analysis and then divides and solves the problem so that the emotion group classified into the same class group is recognized again as actual emotions. In experiments, the proposed method has improved accuracy in all the tests than when recognizing all the presented emotions with a single CNN model.

Accurate Detection of a Defective Area by Adopting a Divide and Conquer Strategy in Infrared Thermal Imaging Measurement

  • Jiangfei, Wang;Lihua, Yuan;Zhengguang, Zhu;Mingyuan, Yuan
    • Journal of the Korean Physical Society
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    • v.73 no.11
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    • pp.1644-1649
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    • 2018
  • Aiming at infrared thermal images with different buried depth defects, we study a variety of image segmentation algorithms based on the threshold to develop global search ability and the ability to find the defect area accurately. Firstly, the iterative thresholding method, the maximum entropy method, the minimum error method, the Ostu method and the minimum skewness method are applied to image segmentation of the same infrared thermal image. The study shows that the maximum entropy method and the minimum error method have strong global search capability and can simultaneously extract defects at different depths. However none of these five methods can accurately calculate the defect area at different depths. In order to solve this problem, we put forward a strategy of "divide and conquer". The infrared thermal image is divided into several local thermal maps, with each map containing only one defect, and the defect area is calculated after local image processing of the different buried defects one by one. The results show that, under the "divide and conquer" strategy, the iterative threshold method and the Ostu method have the advantage of high precision and can accurately extract the area of different defects at different depths, with an error of less than 5%.