• Title/Summary/Keyword: 근사 방법

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노심 동특성 분석 정확도 및 성능 향상을 위한 Time Step 제어방법 개선

  • 김영일;김영진;주형국;김택겸
    • Proceedings of the Korean Nuclear Society Conference
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    • 1997.10a
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    • pp.79-84
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    • 1997
  • 동특성 분석 코드 시스템 PANBOX2는 시간에 대한 미분을 Implicit Euler 방법을 사용하여 근사한다. 이 경우 Local Truncation Error는 중성자속의 이차 미분에 비례한다. Time-Step-Doubling 기법을 이용하여 Local Truncation Error의 근사치를 구하고 이를 이용하여 Time Step Size를 조절해 주는 방법을 동특성 분석 코드 시스템 PANBOX2에 도입하였다. LRA와 NEACRP 제어봉 인출사고 검증문제에 대한 분석 결과, PANBOX2 시스템의 기존 방법에 비해 효과적으로 Time Step을 제어하였으며 보다 정확한 결과를 얻을 수 있었다.

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Approximation of a Warship Passive Sonar Signal Using Taylor Expansion (테일러 전개를 이용한 함정 수동 소나 신호 근사)

  • Hong, Wooyoung;Jung, Youngcheol;Lim, Jun-Seok;Seong, Woojae
    • The Journal of the Acoustical Society of Korea
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    • v.33 no.4
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    • pp.232-237
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    • 2014
  • A passive sonar of warship is composed of several directional or omni-directional sensors. In order to model the acoustic signal received into a warship sonar, the wave propagation modeling is usually required from arbitrary noise source to all sensors equipped to the sonar. However, the full calculation for all sensors is time-consuming and the performance of sonar simulator deteriorates. In this study, we suggest an asymptotic method to estimate the sonar signal arrived to sensors adjacent to the reference sensor, where it is assumed that all information of eigenrays is known. This method is developed using Taylor series for the time delay of eigenray and similar to Fraunhofer and Fresnel approximation for sonar aperture. To validate the proposed method, some numerical experiments are performed for the passive sonar. The approximation when the second-order term is kept is vastly superior. In addition, the error criterion for each approximation is provided with a practical example.

Vertex selection method considering texture degradation for contour approximation (밝기 왜곡을 고려한 윤곽선 근사화용 정점 선택 방법)

  • Choi Jae Gark;Lee Si-Woong;Koh Chang-Rim;Lee Jong-Keuk
    • Journal of Broadcast Engineering
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    • v.10 no.4 s.29
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    • pp.632-642
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    • 2005
  • This paper presents a new vertex selection scheme for the polygon-based contour approximation. In the proposed method, the entire contour is partitioned into partial segments and they are approximated adaptively with variable accuracy. The approximation accuracy of each segment is controlled based on its relative significance. By computing the relative significance with the texture degradation in the approximation error region, the visual quality enhancement in the reconstructed frames can be achieved under the same amount of the contour data. For this purpose, a decision rule for $d_{max}$ is derived based on inter-region contrasts. In addition, an adaptive vertex selection method using the derived rule is proposed. Experimental results are presented to show the superiority of the proposed method over conventional methods.

Function Approximation for accelerating learning speed in Reinforcement Learning (강화학습의 학습 가속을 위한 함수 근사 방법)

  • Lee, Young-Ah;Chung, Tae-Choong
    • Journal of the Korean Institute of Intelligent Systems
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    • v.13 no.6
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    • pp.635-642
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    • 2003
  • Reinforcement learning got successful results in a lot of applications such as control and scheduling. Various function approximation methods have been studied in order to improve the learning speed and to solve the shortage of storage in the standard reinforcement learning algorithm of Q-Learning. Most function approximation methods remove some special quality of reinforcement learning and need prior knowledge and preprocessing. Fuzzy Q-Learning needs preprocessing to define fuzzy variables and Local Weighted Regression uses training examples. In this paper, we propose a function approximation method, Fuzzy Q-Map that is based on on-line fuzzy clustering. Fuzzy Q-Map classifies a query state and predicts a suitable action according to the membership degree. We applied the Fuzzy Q-Map, CMAC and LWR to the mountain car problem. Fuzzy Q-Map reached the optimal prediction rate faster than CMAC and the lower prediction rate was seen than LWR that uses training example.

Circle Detection and Approximation for Inspecting a Fiber Optic Connector Endface (광섬유 연결 종단면 검사를 위한 원형 검출과 근사화 방법)

  • Kim, Jin-Soo
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.18 no.12
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    • pp.2953-2960
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    • 2014
  • In the field of image recognition, circle detection is one of the most widely used techniques. Conventional algorithms are mainly based on Hough transform, which is the most straightforward algorithm for detecting circles and for providing enough robust algorithm. However, it suffers from large memory requirements and high computational loads, and sometimes tends to detect incorrect circles. This paper proposes an optimal circle detection and approximation method which is applicable for inspecting fiber optic connector endface. The proposed method finds initial center coordinates and radius based on the initial edge lines. Then, by introducing the simplified K-means algorithm, the proposed method investigates a substitute-circle by minimizing the area of non-overlapped regions. Through extensive simulations, it is shown that the proposed method can improve the error rate by as much as 67% and also can reduce the computing time by as much as 80%, compared to the Hough transform provided by the OpenCV library.

Saddlepoint approximation to the distribution function of quadratic forms based on multivariate skew-normal distribution (다변량 왜정규분포 기반 이차형식의 분포함수에 대한 안장점근사)

  • Na, Jonghwa
    • The Korean Journal of Applied Statistics
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    • v.29 no.4
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    • pp.571-579
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    • 2016
  • Most of studies related to the distributions of quadratic forms are conducted under the assumption of multivariate normal distribution. In this paper, we suggested an approximation to the distribution of quadratic forms based on multivariate skew-normal distribution as alternatives for multivariate normal distribution. Saddlepoint approximations are considered and the accuracy of the approximations are verified through simulation studies.

A study on eliminating baseline wander of ECG using approximated S-wave contour (근사 S-파 궤적을 이용한 심전도의 기저선 변동 제거에 관한 연구)

  • Ju, Jangkyu;Lee, Ki Young
    • The Journal of Korea Institute of Information, Electronics, and Communication Technology
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    • v.1 no.2
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    • pp.33-38
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    • 2008
  • The baseline wander of ECG makes difficult to detect P-, Q-, R- and S-wave. This paper presents and compares two method to remove the baseline wander of ECG using slope traceing waves. For the first method that had been proposed already[1], the ascending slope tracing method is used to eliminate baseline wander. And the second method employs the contour of the approximated S-wave to remove baseline wander. These two methods are common to use the slope tracing wave. However, the first one is to get difference signals between the ascending tracing waves and ECG signals, and the other is to remove baseline wander using the contour of the approximated S-wave obtained from descending slope waves. To evaluate these methods, we apply to MIT/BIH database.

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Iterative Series Methods in 3-D EM Modeling (급수 전개법에 의한 3차원 전자탐사 모델링)

  • Cho In-Ky;Yong Hwan-Ho;Ahn Hee-Yoon
    • Geophysics and Geophysical Exploration
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    • v.4 no.3
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    • pp.70-79
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    • 2001
  • The integral equation method is a powerful tool for numerical electromagnetic modeling. But the difficulty of this technique is the size of the linear equations, which demands excessive memory and calculation time to invert. This limitation of the integral equation method becomes critical in inverse problem. The conventional Born approximation, where the electric field in the anomalous body is approximated by the background field, is very rapid and easy to compute. However, the technique is inaccurate when the conductivity contrast between the body and the background medium is large. Quasi-linear, quasi-analytical and extended Born approximations are novel approaches to 3-D EM modeling based on the linearization of the integral equations for scattered EM field. These approximation methods are much less time consuming than full integral equation method and more accurate than conventional Born approximation. They we, however, still approximate methods for 3-D EM modeling. Iterative series methods such as modified Born, quasi-linear and quasi-analytical can be used to increase the accuracy of various approximation methods. Comparisons of numerical performance against a full integral equation and various approximation codes show that the iterative series methods are very accurate and almost always converge. Furthermore, they are very fast and easy to implement on a computer. In this study, extended Born series method is developed and it shows more accurate result than that of other series methods. Therefore, Iterative series methods, including extended Born series, open principally new possibilities for fast and accurate 3-D EM modeling and inversion.

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Mechanism for Building Approximation Edge Minimum Spanning Tree Using Portals on Input Edges (선분상의 포탈을 이용한 근사 선분 최소 신장 트리의 생성)

  • Kim, In-Bum;Kim, Soo-In
    • The KIPS Transactions:PartA
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    • v.16A no.6
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    • pp.509-518
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    • 2009
  • In this paper, a mechanism that produces an approximation edges minimum spanning tree swiftly using virtual nodes called portals dividing given edges into same distance sub-edges. The approximation edges minimum spanning tree can be used in many useful areas as connecting communication lines, road networks and railroad systems. For 3000 random input edges, when portal distance is 0.3, tree building time decreased 29.74% while the length of the produced tree increased 1.8% comparing with optimal edge minimum spanning tree in our experiment. When portal distance is 0.75, tree building time decreased 39.96% while the tree length increased 2.96%. The result shows this mechanism might be well applied to the applications that may allow a little length overhead, but should produce an edge connecting tree in short time. And the proposed mechanism can produce an approximation edge minimum spanning tree focusing on tree length or on building time to meet user requests by adjusting portal distance or portal discard ratio as parameter.

Study on Feasibility of Applying Function Approximation Moment Method to Achieve Reliability-Based Design Optimization (함수근사모멘트방법의 신뢰도 기반 최적설계에 적용 타당성에 대한 연구)

  • Huh, Jae-Sung;Kwak, Byung-Man
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.35 no.2
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    • pp.163-168
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    • 2011
  • Robust optimization or reliability-based design optimization are some of the methodologies that are employed to take into account the uncertainties of a system at the design stage. For applying such methodologies to solve industrial problems, accurate and efficient methods for estimating statistical moments and failure probability are required, and further, the results of sensitivity analysis, which is needed for searching direction during the optimization process, should also be accurate. The aim of this study is to employ the function approximation moment method into the sensitivity analysis formulation, which is expressed as an integral form, to verify the accuracy of the sensitivity results, and to solve a typical problem of reliability-based design optimization. These results are compared with those of other moment methods, and the feasibility of the function approximation moment method is verified. The sensitivity analysis formula with integral form is the efficient formulation for evaluating sensitivity because any additional function calculation is not needed provided the failure probability or statistical moments are calculated.