• Title/Summary/Keyword: 근사 알고리즘

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Approximated Fast Affine Projection Algorithm for Stereo Acoustic Echo Cancellation (스테레오 음향 반향 제거를 위한 근사화된 고속 Affine Projection 알고리즘)

  • Jung Yang Won;Lee Ji Ha;Park Seon Joon;Park Young Cheol;Youn Dae Hee
    • Proceedings of the Acoustical Society of Korea Conference
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    • spring
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    • pp.129-132
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    • 1999
  • 스테레오 음향 반향 제거기는 입력 신호로 사용되는 두 채널간의 강한 상관관계로 인하여 수렴특성이 악화되는 문제점을 갖는다. 따라서 수렴속도를 향상시키기 위해 RLS또는 Affine Projection(AP) 알고리즘 같은 Least Square (LS)계 열의적응 알고리즘을 사용하는 것이 필요하다. 그러나, 이러한 알고리즘은 LMS 알고리즘과 같은 통계적 미분계열 알고리 즘에 비하여 과도한 계산량을 요구하므로 고속 알고리즘에 대한 연구가 진행되어왔다. 본 논문에서는 스테레오 환경에서 Gram-Schmidt(GS) 직교화를 이용하여 LMS 알고리즘 수준의 계산량을 갖는 근사화된 AP 알고리즘을 제안하였다. 제안한 알고리즘은 AP 알고리즘의 후행오차 성질을 이용하여 GS 직교화 구조로 구성되며, 계산량 감소를 위해 샘플단위의 재귀적 GS 직교화를 사용하였다. 또한 GS직교화를 스테레오 채널에 적용함으로써 적은 계산량으로 AS 알고리즘과 대등한 수렴 성능을 갖는다.

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Parallel Computation For The Edit Distance Based On The Four-Russians' Algorithm (4-러시안 알고리즘 기반의 편집거리 병렬계산)

  • Kim, Young Ho;Jeong, Ju-Hui;Kang, Dae Woong;Sim, Jeong Seop
    • KIPS Transactions on Computer and Communication Systems
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    • v.2 no.2
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    • pp.67-74
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    • 2013
  • Approximate string matching problems have been studied in diverse fields. Recently, fast approximate string matching algorithms are being used to reduce the time and costs for the next generation sequencing. To measure the amounts of errors between two strings, we use a distance function such as the edit distance. Given two strings X(|X| = m) and Y(|Y| = n) over an alphabet ${\Sigma}$, the edit distance between X and Y is the minimum number of edit operations to convert X into Y. The edit distance between X and Y can be computed using the well-known dynamic programming technique in O(mn) time and space. The edit distance also can be computed using the Four-Russians' algorithm whose preprocessing step runs in $O((3{\mid}{\Sigma}{\mid})^{2t}t^2)$ time and $O((3{\mid}{\Sigma}{\mid})^{2t}t)$ space and the computation step runs in O(mn/t) time and O(mn) space where t represents the size of the block. In this paper, we present a parallelized version of the computation step of the Four-Russians' algorithm. Our algorithm computes the edit distance between X and Y in O(m+n) time using m/t threads. Then we implemented both the sequential version and our parallelized version of the Four-Russians' algorithm using CUDA to compare the execution times. When t = 1 and t = 2, our algorithm runs about 10 times and 3 times faster than the sequential algorithm, respectively.

Multicast Routing Algorithm for Multimedia Transmission in an ATM Network (ATM망에서의 멀티미디어 전송을 위한 다중점 경로설정 알고리즘)

  • 김경석;이상선;오창환;김순자
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.21 no.1
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    • pp.91-102
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    • 1996
  • The multicast routing algorithm is necessary to transmit multimedia traffic efficiently in ATM (asynchronous transfer mode) networks. In this paper, we propose the multicast routing algorithm which is based on VP/VC characteristic. The proposed algorithm is based on VP tree concept and using cost function which is based on VP/VC switching. The cost funication is composed of link cost, delay and weighting factor on delay and the weighting factor is calculated by delay sensitivity of the traffic. The proposed algorithm can choose delay bounded path which satisfies delay constraint, moreover it can choose optimal path among VPs which has the same link cost and satisfying delay constraint. With controlling weighting factor, proposed algorithm can set-up efficient path. When the weighting factor sets to be between 0.8 and 1, experimental results show that the perforance of proposed scheme is approximated to that of cost optimal algorithm and strongly delay optimized algorithm.

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Algorithm for Minimum Linear Arrangement(MinLA) of Binary Tree (이진트리의 최소선형배열 알고리즘)

  • Sang-Un Lee
    • The Journal of the Institute of Internet, Broadcasting and Communication
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    • v.24 no.2
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    • pp.99-104
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    • 2024
  • In the deficiency of an exact solution yielding algorithm, approximate algorithms remain as a solely viable option to the Minimum Linear Arrangement(MinLA) problem of Binary tree. Despite repeated attempts by a number of algorithm on k = 10, only two of them have been successful in yielding the optimal solution of 3,696. This paper therefore proposes an algorithm of O(n) complexity that delivers the exact solution to the binary tree. The proposed algorithm firstly employs an In-order search method by which n = 2k - 1 number of nodes are assigned with a distinct number. Then it reassigns the number of all nodes that occur on level 2 ≤ 𝑙 ≤ k-2, (k = 5) and 2 ≤ 𝑙 ≤ k-3, (k = 6), including that of child of leaf node. When applied to k=5,6,7, the proposed algorithm has proven Chung[14]'s S(k)min=2k-1+4+S(k-1)min+2S(k-2)min conjecture and obtained a superior result. Moreover, on the contrary to existing algorithms, the proposed algorithm illustrates a detailed assignment method. Capable of expeditiously obtaining the optimal solution for the binary tree of k > 10, the proposed algorithm could replace the existing approximate algorithms.

Searching Sequential Patterns by Approximation Algorithm (근사 알고리즘을 이용한 순차패턴 탐색)

  • Sarlsarbold, Garawagchaa;Hwang, Young-Sup
    • Journal of the Korea Society of Computer and Information
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    • v.14 no.5
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    • pp.29-36
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    • 2009
  • Sequential pattern mining, which discovers frequent subsequences as patterns in a sequence database, is an important data mining problem with broad applications. Since a sequential pattern in DNA sequences can be a motif, we studied to find sequential patterns in DNA sequences. Most previously proposed mining algorithms follow the exact matching with a sequential pattern definition. They are not able to work in noisy environments and inaccurate data in practice. Theses problems occurs frequently in DNA sequences which is a biological data. We investigated approximate matching method to deal with those cases. Our idea is based on the observation that all occurrences of a frequent pattern can be classified into groups, which we call approximated pattern. The existing PrefixSpan algorithm can successfully find sequential patterns in a long sequence. We improved the PrefixSpan algorithm to find approximate sequential patterns. The experimental results showed that the number of repeats from the proposed method was 5 times more than that of PrefixSpan when the pattern length is 4.

Probability distribution-based approximation matrix multiplication simplification algorithm (확률분포 생성을 통한 근사 행렬 곱셈 간소화 방법)

  • Kwon, Oh-Young;Seo, Kyoung-Taek
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.26 no.11
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    • pp.1623-1629
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    • 2022
  • Matrix multiplication is a fundamental operation widely used in science and engineering. There is an approximate matrix multiplication method as a way to reduce the amount of computation of matrix multiplication. Approximate matrix multiplication determines an appropriate probability distribution for selecting columns and rows of matrices, and performs approximate matrix multiplication by selecting columns and rows of matrices according to this distribution. Probability distributions are generated by considering both matrices A and B participating in matrix multiplication. In this paper, we propose a method to generate a probability distribution that selects columns and rows of matrices to be used for approximate matrix multiplication, targeting only matrix A. Approximate matrix multiplication was performed on 1000×1000 ~ 5000×5000 matrices using existing and proposed methods. The approximate matrix multiplication applying the proposed method compared to the conventional method has been shown to be closer to the original matrix multiplication result, averaging 0.02% to 2.34%.

δ-approximate Periods and γ-approximate Periods of Strings over Integer Alphabets (정수문자집합에 대한 문자열의 δ-근사주기와 γ-근사주기)

  • Kim, Youngho;Sim, Jeong Seop
    • Journal of KIISE
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    • v.43 no.10
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    • pp.1073-1078
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    • 2016
  • (${\delta}$, ${\gamma}$)-matching for strings over integer alphabets can be applied to such fields as musical melody and share prices on stock markets. In this paper, we define ${\delta}$-approximate periods and ${\gamma}$-approximate periods of strings over integer alphabets. We also present two $O(n^2)$-time algorithms, each of which finds minimum ${\delta}$-approximate periods and minimum ${\gamma}$-approximate periods, respectively. Then, we provide the experimental results of execution times of both algorithms.

Development of MLS Difference Method for Material Nonlinear Problem (MLS차분법을 이용한 재료비선형 문제 해석)

  • Yoon, Young-Cheol
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.29 no.3
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    • pp.237-244
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    • 2016
  • This paper presents a nonlinear Moving Least Squares(MLS) difference method for material nonlinearity problem. The MLS difference method, which employs strong formulation involving the fast derivative approximation, discretizes governing partial differential equation based on a node model. However, the conventional MLS difference method cannot explicitly handle constitutive equation since it solves solid mechanics problems by using the Navier's equation that unifies unknowns into one variable, displacement. In this study, a double derivative approximation is devised to treat the constitutive equation of inelastic material in the framework of strong formulation; in fact, it manipulates the first order derivative approximation two times. The equilibrium equation described by the divergence of stress tensor is directly discretized and is linearized by the Newton method; as a result, an iterative procedure is developed to find convergent solution. Stresses and internal variables are calculated and updated by the return mapping algorithm. Effectiveness and stability of the iterative procedure is improved by using algorithmic tangent modulus. The consistency of the double derivative approximation was shown by the reproducing property test. Also, accuracy and stability of the procedure were verified by analyzing inelastic beam under incremental tensile loading.

Mold temperature control method using Approximation Algorithm (근사알고리즘을 적용한 금형온도 제어 방법)

  • Park, Seong-su;Ku, Hyung-il
    • Proceedings of the Korean Institute of Information and Commucation Sciences Conference
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    • 2017.10a
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    • pp.270-273
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    • 2017
  • Productivity through reduced defects in plastic injection molding and reduced cycle times is a long-standing need in the injection industry. In particular, productivity is very urgent for the domestic injection industry, which is caught between the pursuit of latecomers such as China and technological gap with Germany and Japan which will not be narrowed down. Through 30 years of research and experience in the domestic injection industry, we have found that controlling the surface temperature of injection molds is the key of quality control. There have been various attempts to utilize advanced control techniques such as PID control, but the productivity against leading companies in Germany and Japan is still insufficient. Using Approximation Algorithm - "Knapsack" and "Minimum Makespan Scheduling", We want to show how to efficiently control objects with periodic repetitive data patterns that are difficult to solve with PID control. In addition, We want to propose that the control by Approximation Algorithm is effective enough to improve the productivity of the product by analyzing the data extracted from actual injection site.

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Design of Networked based Control Systems using Pade Approximation and Reduction of Higher-order Transfer Function (Pade 근사법과 전달함수 축소기법을 이용한 네트워크 기반 제어 시스템 설계)

  • Shin, Dong-Gi;Cho, Hyun-Cheol;Han, Hyun-Tae;Lee, Jin-Woo;Lee, Kwon-Soon
    • Proceedings of the KIEE Conference
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    • 2008.04a
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    • pp.39-40
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    • 2008
  • 본 논문은 네트워크 기반 제어시스템(NCS: Networked Control Systems)모델매칭 제어기법을 적용한 효율적인 제어알고리즘을 제안한다. 비선형의 특징을 가지는 제어기 및 관측기의 시간지연을 Pade 근사법으로 선형화하여 선형시스템 이론을 적용한 모델매칭 제어기를 설계하였다. 또한, 제어기의 차수를 줄이기 위하여 저차시스템으로 근사화하여 그 타당성을 검증하였다. 제안한 제어알고리즘의 타당성 및 신뢰성을 검증하기 위하여 컴퓨터 시뮬레이션을 실시하였으며 기존의 PID 제어기법과 비교분석하였다.

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