• Title/Summary/Keyword: Gradient Descent Algorithm

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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 New Design of Signal Constellation of the Spiral Quadrature Amplitude Modulation (나선 직교진폭변조 신호성상도의 새로운 설계)

  • Li, Shuang;Kang, Seog Geun
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.24 no.3
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    • pp.398-404
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    • 2020
  • In this paper, we propose a new design method of signal constellation of the spiral quadrature amplitude modulation (QAM) exploiting a modified gradient descent search algorithm and its binary mapping rule. Unlike the conventional method, the new method, which uses and the constellation optimization algorithm and the maximum number of iterations as a parameter for the iterative design, is more robust to phase noise. And the proposed binary mapping rule significantly reduces the average Hamming distance of the spiral constellation. As a result, the proposed spiral QAM constellation has much improved error performance compared to the conventional ones even in a very severe phase noise environment. It is, therefore, considered that the proposed QAM may be a useful modulation format for coherent optical communication systems and orthogonal frequency division multiplexing (OFDM) systems.

Hybrid Atmospheric Compensation in Free-Space Optical Communication

  • Wang, Tingting;Zhao, Xiaohui
    • Journal of the Optical Society of Korea
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    • v.20 no.1
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    • pp.13-21
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    • 2016
  • Since the direct-gradient (DG) method uses the Shack-Hartmann wave front sensor (SH-WFS), based on the phase-conjugation principle, for atmospheric compensation in free-space optical (FSO) communication, it cannot effectively correct high-order aberrations. While the stochastic parallel gradient descent (SPGD) can compensate the distorted wave front, it requires more calculations, which is sometimes undesirable for an FSO system. A hybrid compensation (HC) method is proposed by properly using the DG method and SPGD algorithm to improve the performance of FSO communication. Simulations show that this method can well compensate wave-front aberrations and upgrade the coupling efficiency with few computations, preferable correction results, and rapid convergence rate.

UNDERSTANDING NON-NEGATIVE MATRIX FACTORIZATION IN THE FRAMEWORK OF BREGMAN DIVERGENCE

  • KIM, KYUNGSUP
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • v.25 no.3
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    • pp.107-116
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    • 2021
  • We introduce optimization algorithms using Bregman Divergence for solving non-negative matrix factorization (NMF) problems. Bregman divergence is known a generalization of some divergences such as Frobenius norm and KL divergence and etc. Some algorithms can be applicable to not only NMF with Frobenius norm but also NMF with more general Bregman divergence. Matrix Factorization is a popular non-convex optimization problem, for which alternating minimization schemes are mostly used. We develop the Bregman proximal gradient method applicable for all NMF formulated in any Bregman divergences. In the derivation of NMF algorithm for Bregman divergence, we need to use majorization/minimization(MM) for a proper auxiliary function. We present algorithmic aspects of NMF for Bregman divergence by using MM of auxiliary function.

Architectural Analysis of Type-2 Interval pRBF Neural Networks Using Space Search Evolutionary Algorithm (공간탐색 진화알고리즘을 이용한 Interval Type-2 pRBF 뉴럴 네트워크의 구조적 해석)

  • Oh, Sung-Kwun;Kim, Wook-Dong;Park, Ho-Sung;Lee, Young-Il
    • Journal of the Korean Institute of Intelligent Systems
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    • v.21 no.1
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    • pp.12-18
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    • 2011
  • In this paper, we proposed Interval Type-2 polynomial Radial Basis Function Neural Networks. In the receptive filed of hidden layer, Interval Type-2 fuzzy set is used. The characteristic of Interval Type-2 fuzzy set has Footprint Of Uncertainly(FOU), which denotes a certain level of robustness in the presence of un-known information when compared with the type-1 fuzzy set. In order to improve the performance of proposed model, we used the linear polynomial function as connection weight of network. The parameters such as center values of receptive field, constant deviation, and connection weight between hidden layer and output layer are optimized by Conjugate Gradient Method(CGM) and Space Search Evolutionary Algorithm(SSEA). The proposed model is applied to gas furnace dataset and its result are compared with those reported in the previous studies.

Design of an Adaptive Neuro-Fuzzy Inference Precompensator for Load Frequency Control of Two-Area Power Systems (2지역 전력계통의 부하주파수 제어를 위한 적응 뉴로 퍼지추론 보상기 설계)

  • 정형환;정문규;한길만
    • Journal of Advanced Marine Engineering and Technology
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    • v.24 no.2
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    • pp.72-81
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    • 2000
  • In this paper, we design an adaptive neuro-fuzzy inference system(ANFIS) precompensator for load frequency control of 2-area power systems. While proportional integral derivative (PID) controllers are used in power systems, they may have some problems because of high nonlinearities of the power systems. So, a neuro-fuzzy-based precompensation scheme is incorporated with a convectional PID controller to obtain robustness to the nonlinearities. The proposed precompensation technique can be easily implemented by adding a precompensator to an existing PID controller. The applied neruo-fuzzy inference system precompensator uses a hybrid learning algorithm. This algorithm is to use both a gradient descent method to optimize the premise parameters and a least squares method to solve for the consequent parameters. Simulation results show that the proposed control technique is superior to a conventional Ziegler-Nichols PID controller in dynamic responses about load disturbances.

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A Simulated Annealing Tangential Cutting Algorithm for Lamination Rapid Prototyping System (적층 쾌속조형 시스템을 위한 시뮬레이티드 어닐링 경사절단 알고리즘)

  • 김명숙;엄태준;김승우;천인국;공용해
    • The Transactions of the Korean Institute of Electrical Engineers D
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    • v.53 no.4
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    • pp.226-234
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    • 2004
  • A rapid Prototyping system that laser-cuts and laminates thick layers can fabricate 3D objects promptly with a variety of materials. Building such a system must consider the surface distortions due to both vertical-cut layers and triangular surfaces. We developed a tangential layer-cutting algorithm by rearranging tangential lines such that they reconstruct 3D surfaces more closely and also constitute smoother laser trajectories. An energy function that reflects the surface-closeness with the tangential lines was formulated and then the energy was minimized by a gradient descent method. Since this simple method tends to cause many local minima for complex 3D objects, we tried to solve this problem by adding a simulated annealing process to the proposed method. To view and manipulate 3D objects, we also implemented a 3D visual environment. Under this environment, experiments on various 3D objects showed that our algorithm effectively approximates 3D surfaces and makes laser-trajectory feasibly smooth.

The Design of Fuzzy-Neural Networks using FCM Algorithms (FCM 알고리즘을 이용한 퍼지-뉴럴 네트워크 설계)

  • Yoon, Ki-Chan;Park, Byoung-Jun;Oh, Sung-Kwun;Lee, Sung-Hwan
    • Proceedings of the KIEE Conference
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    • 2000.11d
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    • pp.803-805
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    • 2000
  • In this paper, we propose fuzzy-neural Networks(FNN) which is useful for identification algorithms. The proposed FNN model consists of two steps: the first step, which determines premise and consequent parameters approximately using FCM_RI method, the second step, which adjusts the premise and consequent parameters more precisely by gradient descent algorithm. The FCM_RI algorithm consists FCM clustering algorithm and Recursive least squared(RLS) method, this divides the input space more efficiently than convention methods by taking into consideration correlations between components of sample data. To evaluate the performance of the proposed FNN model, we use the time series data for gas furnace.

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Fuzzy logic control of a planar parallel manipulator using multi learning algorithm (다중 학습 알고리듬을 이용한 평면형 병렬 매니퓰레이터의 Fuzzy 논리 제어)

  • Song, Nak-Yun;Cho, Whang
    • Journal of Institute of Control, Robotics and Systems
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    • v.5 no.8
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    • pp.914-922
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    • 1999
  • A study on the improvement of tracking performance of a 3 DOF planar parallel manipulator is performed. A class of adaptive tracking control sheme is designed using self tuning adaptive fuzzy logic control theory. This control sheme is composed of three classical PD controller and a multi learning type self tuning adaptive fuzzy logic controller set. PD controller is tuned roughly by manual setting a priori and fuzzy logic controller is tuned precisely by the gradient descent method for a global solution during run-time, so the proposed control scheme is tuned more rapidly and precisely than the single learning type self tuning adaptive fuzzy logic control sheme for a local solution. The control performance of the proposed algorithm is verified through experiments.

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Model Predictive Control of Discrete-Time Chaotic Systems Using Neural Network (신경회로망을 이용한 이산치 혼돈 시스템의 모델 예측제어)

  • Kim, Se-Min;Choi, Yoon-Ho;Park, Jin-Bae;Joo, Young-Hoon
    • Proceedings of the KIEE Conference
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    • 1999.07b
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    • pp.933-935
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    • 1999
  • In this paper, we present model predictive control scheme based on neural network to control discrete-time chaotic systems. We use a feedforward neural network as nonlinear prediction model. The training algorithm used is an adaptive backpropagation algorithm that tunes the connection weights. And control signal is obtained by using gradient descent (GD), some kind of LMS method. We identify that the system identification results through model prediction control have a great effect on control performance. Finally, simulation results show that the proposed control algorithm performs much better than the conventional controller.

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