• Title/Summary/Keyword: Step Descent

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Mathematical Model for Acousto-Optical Tomography and Its Numerical Simulation (음향광학 단층촬영(Acousto-Optical Tomography)의 수학적 모델과 수치해석적 시뮬레이션)

  • Nam, Hae-Won;Hur, Jang-Yong;Kim, So-Young;Lee, Re-Na
    • Progress in Medical Physics
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    • v.23 no.1
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    • pp.42-47
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    • 2012
  • In this paper, Acousto-Optical tomography is modeled by a linear integral equation and an inverse problem involving a diffusion equation in n-spatial dimensions. We make two-step mathematical model. First, we solve a linear integral equation. Assuming the optical energy fluence rate has been recovered from the previous equation, the absorption coefficient ${\mu}$ is then reconstructed by solving an inverse problem. Numerical experiments are presented for the case n=2. The traditional gradient descent method is used for the numerical simulations. The result of the gradient descent method produces the blurring effect. To get rid of the blurring effect, we suggest the total variation regularization for the minimization problem.

Interative Feedback Tuning for Positive Feedback Time Delay Controller

  • Tsang Kai-Ming;Rad Ahmad B.;Chan Wai-Lok
    • International Journal of Control, Automation, and Systems
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    • v.3 no.4
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    • pp.640-645
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    • 2005
  • Closed-loop model-free optimization of positive feedback time delay controllers for dominant time delay systems is presented. Iterative feedback tuning (IFT) is applied to the tuning of positive feedback time delay controller. Three experiments are carried out to perform the model-free gradient descent optimization. The initial controller parameters and duration in specifying the cost function are suggested. The effects of step size, filter function and time weighting function on the performance of the optimized controlled are given. Simulation and experimental studies are included to demonstrate the effectiveness of the tuning scheme.

Development of an Efficient Line Search Method by Using the Sequential Polynomial Approximation (순차적 다항식 근사화를 적용한 효율적 선탐색기법의 개발)

  • 김민수;최동훈
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.19 no.2
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    • pp.433-442
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    • 1995
  • For the line search of a multi-variable optimization, an efficient algorithm is presented. The algorithm sequentially employs several polynomial approximations such as 2-point quadratic interpolation, 3-point cubic interpolation/extrapolation and 4-point cubic interpolation/extrapolation. The order of polynomial function is automatically increased for improving the accuracy of approximation. The method of approximation (interpolation or extrapolation) is automatically switched by checking the slope information of the sample points. Also, for selecting the initial step length along the descent vector, a new approach is presented. The performance of the proposed method is examined by solving typical test problems such as mathematical problems, mechanical design problems and dynamic response problems.

On-line Estimation of DNB Protection Limit via a Fuzzy Neural Network

  • Na, Man-Gyun
    • Nuclear Engineering and Technology
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    • v.30 no.3
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    • pp.222-234
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    • 1998
  • The Westinghouse OT$\Delta$T DNB protection logic heavily restricts the operation region by applying the same logic for a full range of operating pressure in order to maintain its simplicity. In this work, a fuzzy neural network method is used to estimate the DNB protection limit using the measured average temperature and pressure of a reactor core. Fuzzy system parameters are optimized by a hybrid learning method. This algorithm uses a gradient descent algorithm to optimize the antecedent parameters and a least-squares algorithm to solve the consequent parameters. The proposed method is applied to Yonggwang 3&4 nuclear power plants and the proposed method has 5.99 percent larger thermal margin than the conventional OT$\Delta$T trip logic. This simple algorithm provides a good information for the nuclear power plant operation and diagnosis by estimating the DNB protection limit each time step.

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A Neuro-Fuzzy Controller for Xenon Spatial Oscillations in Load-Following Operation

  • Na, Man-Gyun;Belle R. Upadhyaya
    • Proceedings of the Korean Nuclear Society Conference
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    • 1997.10a
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    • pp.299-304
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    • 1997
  • A neuro-fuzzy control algorithm is applied for xenon spatial oscillations in a pressurized water reactor. The consequent and antecedent parameters of the fuzzy rules are tuned by the gradient descent mettled. The reactor model used for computer simulations is a two-point xenon oscillation model. The reactor core is axially divided into two regions and each region has one input and one output and is coupled with the other region. The interaction between the regions of the reactor core is treated by a decoupling scheme. This proposed control of mettled exhibits very fast responses to a step or a ramp change of target axial offset without any residual flux oscillations.

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Fuzzy Neural Network Based Generalized Predictive Control of Chaotic Nonlinear Systems (혼돈 비선형 시스템의 퍼지 신경 회로망 기반 일반형 예측 제어)

  • Park, Jong-Tae;Park, Yoon-Ho
    • The Transactions of the Korean Institute of Electrical Engineers D
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    • v.53 no.2
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    • pp.65-75
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    • 2004
  • This paper presents a generalized predictive control method based on a fuzzy neural network(FNN) model, which uses the on-line multi-step prediction, fur the intelligent control of chaotic nonlinear systems whose mathematical models are unknown. In our design method, the parameters of both predictor and controller are tuned by a simple gradient descent scheme, and the weight parameters of FNN are determined adaptively during the operation of the system. In order to design a generalized predictive controller effectively, this paper describes computing procedure for each of the two important parameters. Also, we introduce a projection matrix to determine the control input, which deceases the control performance function very rapidly. Finally, in order to evaluate the performance of our controller, the proposed method is applied to the Doffing and Henon systems, which are two representative continuous-time and discrete-time chaotic nonlinear systems, res reactively.

Fast Block-Matching Motion Estimation Using Constrained Diamond Search Algorithm (구속조건을 적용한 다이아몬드 탐색 알고리즘에 의한 고속블록정합움직임추정)

  • 홍성용
    • Journal of the Korea Society of Computer and Information
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    • v.8 no.4
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    • pp.13-20
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    • 2003
  • Based on the studies on the motion vector distributions estimated on the image sequences, we proposed constrained diamond search (DS) algorithm for fast block-matching motion estimation. By considering the fact that motion vectors are searched within the 2 pixels distance in vertically and horizontally on average, we confirmed that DS algorithm achieves close performance on error ratio and requires less computation compared with new three-step search (NTSS) algorithm. Also, by applying displaced frame difference (DFD) to DS algorithm, we reduced the computational loads needed to estimate the motion vectors within the stable block that do not have motions. And we reduced the possibilities falling into the local minima in the course of estimation of motion vectors by applying DFD to DS algorithm. So, we knew that proposed constrained DS algorithm achieved enhanced results as aspects of error ratio and the number of search points to be necessary compared with conventional DS algorithm, four step search (FSS) algorithm, and block-based gradient-descent search algorithm

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A Study of the Application of an Improved Learning Control on the Finishing Mill in No.2 Hot Strip Mill plant in POSCO (포항제철 2열연 사상 압연에 대한 개선된 학습 제어의 현장 적용 연구)

  • Jeong, Ho-Seong;Paek, Ki-Nam;Hur, Myung-Joon;Choi, Seung-Gap;Jeong, Hae-Yeon
    • Proceedings of the KIEE Conference
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    • 1988.11a
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    • pp.56-59
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    • 1988
  • The main purpose of Set-up control of hot strip mill plant is to obtain the most regular thickness. Then the learning or adaptive computer control in hot strip rolling mill has been developed. But it is very difficult to keep the inter-stands load distribution ratio uniform; so that the deviation of strip flatness is not avoidable. This leads to the degradation of quality of the products. In this report, an improved method base on the steepest descent method including the computation of optimum step size. This method is applied to the off-line simulation. In consequence, the better balances of inter-stands load distribution is achieved in addition to improvements of output thickness of hot strip mill in POSCO.

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Biomechanical Analysis of the Effect that Various Loads has on the Lower Limbs while Descending Stairs (성인의 하향계단 보행 시 중량에 따른 하지의 운동역학적 변인 분석)

  • Moon, Je-Heon;Chun, Young-Jin
    • Korean Journal of Applied Biomechanics
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    • v.23 no.3
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    • pp.245-252
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    • 2013
  • The purpose of this study was to analyze the effect that various loads have on the lower limb biomechanics. The following variables were measured and analyzed; performance time for each phase, lower limb moments and joint angles, and ground reaction forces. The kinematic and kinetic data was recorded by 2 force platforms and a motion capture system while 12 healthy adults in their twenties stepped down three steps under loads of 0%, 10%, 20% BW. Results are as follows. First, the different loading conditions did not seem to significantly affect the performance times and the joint angles. Second, the largest ground reaction forces were observed at the 1 step at the 10% BW condition. Finally, at the 0% BW loading condition the right hip extension moment was the smallest and the left hip flexion moment was the largest. The results show that there are not any significant changes in the biomechanics of the lower limbs under loading conditions up to 20% BW. Further investigations including more loading conditions with more weights and more additional steps analyzed are needed.

Accuracy of Electronic Pedometers to Assess Body Fatness in Obese Children and Youth (비만 어린이와 청소년들의 체지방 평가를 위한 electronic pedometer 의 정확성 분석)

  • Kim, Do-Yeon
    • Journal of Life Science
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    • v.19 no.10
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    • pp.1368-1373
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    • 2009
  • The purpose of this study was to assess the influence of waist size on the reliability and validity of pedometers to count steps in children and youth. The participants for this study were 20 children and youth, composed of 14 Hispanic and 6 Caucasian children. Ten children and youth had waist circumferences greater than the $85^{th}$ percentile (Body Mass Index (BMI)=$28.91\pm3.07$), and 10 children and youth had waist circumferences smaller than the $50^{th}$ percentile (BMI=$18.05\pm1.55$). To examine pedometer reliability, each child completed 3 ascent and descent trials up a set of 15 stairs while wearing a Yamax SW-701 pedometer. The main effect of trials was not statistically significant for the stair ascent trials F (2, 36)=2.575 or for the descent trials F (2, 36)=0.235. The trial by group interaction was also not statistically significant. To examine the influence of waist circumference on the validity of the pedometer in counting walking steps at a self-selected walking pace, the children and youth in the two groups completed a 400-m course. The main effect on the groups was statistically significant, F (1, 18)=7.489. The main effect of counting techniques was not statistically significant, F (1, 18)=2.983 (hand-counted vs. pedometer counted). Overall, the trial and trial by group interaction comparisons for the 400-m walk were not statistically significant, suggesting that the pedometer was equally valid as a tool for assessing walking steps in high waist circumference (HWC) and low waist circumference (LWC) in children and youth.