• Title/Summary/Keyword: Global minima

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A Study on an Image Classifier using Multi-Neural Networks (다중 신경망을 이용한 영상 분류기에 관한 연구)

  • Park, Soo-Bong;Park, Jong-An
    • The Journal of the Acoustical Society of Korea
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    • v.14 no.1
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    • pp.13-21
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    • 1995
  • In this paper, we improve an image classifier algorithm based on neural network learning. It consists of two steps. The first is input pattern generation and the second, the global neural network implementation using an improved back-propagation algorithm. The feature vector for pattern recognition consists of the codebook data obtained from self-organization feature map learning. It decreases the input neuron number as well as the computational cost. The global neural network algorithm which is used in classifier inserts a control part and an address memory part to the back-propagation algorithm to control weights and unit-offsets. The simulation results show that it does not fall into the local minima and can implement easily the large-scale neural network. And it decreases largely the learning time.

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Successive Backward Sweep Method for Orbit Transfer Augmented with Homotopy Algorithm (호모토피 알고리즘을 이용한 Successive Backward Sweep 최적제어 알고리즘 설계 및 궤도전이 문제에의 적용)

  • Cho, Donghyurn;Kim, Seung Pil
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.44 no.7
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    • pp.620-628
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    • 2016
  • The homotopy algorithm provides a robust method for determining optimal control, in some cases the global minimum solution, as a continuation parameter is varied gradually to regulate the contributions of the nonlinear terms. In this paper, the Successive Backward Sweep (SBS) method, which is insensitive to initial guess, augmented with a homotopy algorithm is suggested. This approach is effective for highly nonlinear problems such as low-thrust trajectory optimization. Often, these highly nonlinear problems have multiple local minima. In this case, the SBS-homotopy method enables one to steadily seek a global minimum.

Monohydrated Sulfuric and Phosphoric Acids with Different Hydrogen Atom Orientations: DFT and Ab initio Study

  • Kolaski, Maciej;Cho, Seung-Joo
    • Bulletin of the Korean Chemical Society
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    • v.33 no.6
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    • pp.1998-2004
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    • 2012
  • We carried out DFT calculations for monohydrated sulfuric and phosphoric acids. We are interested in clusters which differ in orientation of hydrogen atoms only. Such molecular complexes are close in energy, since they lie in the vicinity of the global minimum energy structure on the flat potential energy surface. For monohydrated sulfuric acid we identified four different isomers. The monohydrated phosphoric acid forms five different conformers. These systems are difficult to study from the theoretical point of view, since binding energy differences in several cases are very small. For each structure, we calculated harmonic vibrational frequencies to be sure that if the optimized structures are at the local or global minima on the potential energy surface. The analysis of calculated -OH vibrational frequencies is useful in interpretation of infrared photodissociation spectroscopy experiments. We employed four different DFT functionals in our calculations. For each structure, we calculated binding energies, thermodynamic properties, and harmonic vibrational frequencies. Our analysis clearly shows that DFT approach is suitable for studying monohydrated inorganic acids with different hydrogen atom orientations. We carried out MP2 calculations with aug-cc-pVDZ basis set for both monohydrated acids. MP2 results serve as a benchmark for DFT calculations.

Optimal Design of Municipal Water Distribution System (관수로 시스템의 최적설계)

  • Ahn, Tae Jin;Park, Jung Eung
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.14 no.6
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    • pp.1375-1383
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    • 1994
  • The water distribution system problem consists of finding a minimum cost system design subject to hydraulic and operational constraints. Since the municipal water distribution system problem is nonconvex with multiple local minima, classical optimization methods find a local optimum. An outer flow search - inner optimization procedure is proposed for choosing a better local minimum for the water distribution systems. The pipe network is judiciously subjected to the outer search scheme which chooses alternative flow configurations to find an optimal flow division among pipes. Because the problem is nonconvex, a global search scheme called Stochastic Probing method is employed to permit a local optimum seeking method to migrate among various local minima. A local minimizer is employed for the design of least cost diameters for pipes in the network. The algorithm can also be employed for optimal design of parallel expansion of existing networks. In this paper one municipal water distribution system is considered. The optimal solutions thus found have significantly smaller costs than the ones reported previously by other researchers.

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An Artificial Neural Network for the Optimal Path Planning (최적경로탐색문제를 위한 인공신경회로망)

  • Kim, Wook;Park, Young-Moon
    • Proceedings of the KIEE Conference
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    • 1991.07a
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    • pp.333-336
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    • 1991
  • In this paper, Hopfield & Tank model-like artificial neural network structure is proposed, which can be used for the optimal path planning problems such as the unit commitment problems or the maintenance scheduling problems which have been solved by the dynamic programming method or the branch and bound method. To construct the structure of the neural network, an energy function is defined, of which the global minimum means the optimal path of the problem. To avoid falling into one of the local minima during the optimization process, the simulated annealing method is applied via making the slope of the sigmoid transfer functions steeper gradually while the process progresses. As a result, computer(IBM 386-AT 34MHz) simulations can finish the optimal unit commitment problem with 10 power units and 24 hour periods (1 hour factor) in 5 minites. Furthermore, if the full parallel neural network hardware is contructed, the optimization time will be reduced remarkably.

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Detection of Magnetic Body using Magnetic Field Disturbances (자계교란을 이용한 자성체 탐지)

  • Lee, H.B.;Koh, C.S.;Hahn, S.Y.;Jung, H.K.;Choi, T.I.;Kim, K.C.
    • Proceedings of the KIEE Conference
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    • 1992.07b
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    • pp.577-579
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    • 1992
  • A new algorithm, which combines the Evolution Strategy and the Simplex method, is proposed for the detection of magnetic body utilizing the disturbance of magnetic fields. Although the detection problem of magnetic body which belongs to the inverse problem may have many local minima, the global optimum point was found by introducing the Evolution Strategy. And the convergency rate was enhanced by introducing the Simplex method. Through the numerical examples, the applicability and usefulness of the proposed algorithm are proved.

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Inversion of Geophysical Data Using Genetic Algorithms (유전적 기법에 의한 지구물리자료의 역산)

  • Kim, Hee Joon
    • Economic and Environmental Geology
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    • v.28 no.4
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    • pp.425-431
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    • 1995
  • Genetic algorithms are so named because they are analogous to biological processes. The model parameters are coded in binary form. The algorithm then starts with a randomly chosen population of models called chromosomes. The second step is to evaluate the fitness values of these models, measured by a correlation between data and synthetic for a particular model. Then, the three genetic processes of selection, crossover, and mutation are performed upon the model in sequence. Genetic algorithms share the favorable characteristics of random Monte Carlo over local optimization methods in that they do not require linearizing assumptions nor the calculation of partial derivatives, are independent of the misfit criterion, and avoid numerical instabilities associated with matrix inversion. An additional advantage over converntional methods such as iterative least squares is that the sampling is global, rather than local, thereby reducing the tendency to become entrapped in local minima and avoiding the dependency on an assumed starting model.

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Hybrid PSO-Complex Algorithm Based Parameter Identification for a Composite Load Model

  • Del Castillo, Manuelito Y. Jr.;Song, Hwachang;Lee, Byongjun
    • Journal of Electrical Engineering and Technology
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    • v.8 no.3
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    • pp.464-471
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    • 2013
  • This paper proposes a hybrid searching algorithm based on parameter identification for power system load models. Hybrid searching was performed by the combination of particle swarm optimization (PSO) and a complex method, which enhances the convergence of solutions closer to minima and takes advantage of global searching with PSO. In this paper, the load model of interest is composed of a ZIP model and a third-order model for induction motors for stability analysis, and parameter sets are obtained that best-fit the output measurement data using the hybrid search. The origin of the hybrid method is to further apply the complex method as a local search for finding better solutions using the selected particles from the performed PSO procedure.

Application of Adaptive Evolutionary Algorithm to Economic Load Dispatch with Nonconvex Cost Functions (NonConvex 비용함수를 가진 전력경제급전 문제에 적응진화 알고리즘의 적용)

  • Mun, Gyeong-Jun;Hwang, Gi-Hyeon;Park, Jun-Ho
    • The Transactions of the Korean Institute of Electrical Engineers A
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    • v.50 no.11
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    • pp.520-527
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    • 2001
  • This paper suggests a new methodology of evolutionary computations - an Adaptive Evolutionary Algorithm (AEA) for solving the Economic Load Dispatch (ELD) problem which has piecewise quadratic cost functions and prohibited operating zones with many local minima. AEA uses a genetic algorithm (GA) and an evolution strategy (ES) in an adaptive manner in order to take merits of two different evolutionary computations: global search capability of GA and local search capability of ES. In the reproduction procedure, proportions of the population by GA and the population by ES are adaptively modulated according to the fitness. Case studies illustrate the superiority of the proposed methods to existing conventional methods in power generation cost and computation time. The results demonstrate that the AEA can be applied successfully in the solution of ELD with piecewise quadratic cost functions and prohibited operating zones

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Optimal Power Flow Algorithm Using Tabu Search Method With Continuous Variable (실변수 TABU탐색기법을 이용한 최적조류계산)

  • Jung, Chang-Woo;Lee, Myung-Hwan;Shin, Joong-Rin;Chae, Myung-Suk
    • Proceedings of the KIEE Conference
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    • 2001.07a
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    • pp.197-199
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    • 2001
  • This paper presents a Tabu Search (TS) based algorithm to solve the Optimal Power Flow (OPF) problem, converses rapidly to global optima by means of escaping local minima. In this paper, a new approach based on the random TS algorithm with continuous variable is proposed to find that a solution to the OPF problem within reasonable time complexity. To verify the efficiency of the proposed approach, case studies are made for IEEE 30-bus system.

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