• Title/Summary/Keyword: Operator weights

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Identification of Nonlinear Systems based on Dynamic Recurrent Neural Networks (동적 귀환 신경망에 의한 비선형 시스템의 동정)

  • 이상환;김대준;심귀보
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 1997.10a
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    • pp.413-416
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    • 1997
  • Recently, dynamic recurrent neural networks(DRNN) for identification of nonlinear dynamic systems have been researched extensively. In general, dynamic backpropagation was used to adjust the weights of neural networks. But, this method requires many complex calculations and has the possibility of falling into a local minimum. So, we propose a new approach to identify nonlinear dynamic systems using DRNN. In order to adjust the weights of neurons, we use evolution strategies, which is a method used to solve an optimal problem having many local minimums. DRNN trained by evolution strategies with mutation as the main operator can act as a plant emulator. And the fitness function of evolution strategies is based on the difference of the plant's outputs and DRNN's outputs. Thus, this new approach at identifying nonlinear dynamic system, when applied to the simulation of a two-link robot manipulator, demonstrates the performance and efficiency of this proposed approach.

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A Study on Dynamic Inference for a Knowlege-Based System iwht Fuzzy Production Rules

  • Song, Soo-Sup
    • Journal of the military operations research society of Korea
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    • v.26 no.2
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    • pp.55-74
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    • 2000
  • A knowledge-based with production rules is a representation of static knowledge of an expert. On the other hand, a real system such as the stock market is dynamic in nature. Therefore we need a method to reflect the dynamic nature of a system when we make inferences with a knowledge-based system. This paper suggests a strategy of dynamic inference that can be used to take into account the dynamic behavior of decision-making with the knowledge-based system consisted of fuzzy production rules. A degree of match(DM) between actual input information and a condition of a rule is represented by a value [0,1]. Weights of relative importance of attributes in a rule are obtained by the AHP(Analytic Hierarchy Process) method. Then these weights are applied as exponents for the DM, and the DMs in a rule are combined, with the Min operator, into a single DM for the rule. In this way, the importance of attributes of a rule, which can be changed from time to time, can be reflected in an inference with fuzzy production systems.

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A Strategy of Dynamic Inference for a Knowledge-Based System with Fuzzy Production Rules (퍼지규칙으로 구성된 지식기반시스템에서 동적 추론전략)

  • 송수섭
    • Journal of the Korean Operations Research and Management Science Society
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    • v.25 no.4
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    • pp.81-95
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    • 2000
  • A knowledge-based system with fuzzy production rules is a representation of static knowledge of an expert. On the other hand, a real system such as the stock market is dynamic in nature. Therefore we need a strategy to reflect the dynamic nature of real system when we make inferences with a knowledge-based system. This paper proposes a strategy of dynamic inferencing for a knowledge-based system with fuzzy production rules. The strategy suggested in this paper applies weights of attributes of conditions of a rule in the knowledge-base. A degree of match(DM) between actual input information and a condition of a rule is represented by a value [0,1]. Weights of relative importance of attributes in a rule are obtained by AHP(Analytic Hierarcy Process) method. Then these weights are applied as exponents for the DM, and the DMs in a rule are combined, with MIN operator, into a single DM for the rule. In this way, overall DM for a rule changes depending on the importance of attributes of the rule. As a result, the dynamic nature of a real system can be incorporated in an inference with fuzzy production rules.

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A NOTE ON TWO WEIGHT INEQUALITIES FOR THE DYADIC PARAPRODUCT

  • Chung, Daewon
    • East Asian mathematical journal
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    • v.36 no.3
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    • pp.377-387
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    • 2020
  • In this paper, we provide detailed proof of the Sawyer type characterization of the two weight estimate for the dyadic paraproduct. Although the dyadic paraproduct is known to be a well localized operators and the testing conditions obtained from checking boundedness of the given localized operator on a collection of test functions are provided by many authors. The main purpose of this paper is to present the necessary and sufficient conditions on the weights to ensure boundedness of the dyadic paraproduct directly.

A NOTE ON MULTILINEAR PSEUDO-DIFFERENTIAL OPERATORS AND ITERATED COMMUTATORS

  • Wen, Yongming;Wu, Huoxiong;Xue, Qingying
    • Bulletin of the Korean Mathematical Society
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    • v.57 no.4
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    • pp.851-864
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    • 2020
  • This paper gives a sparse domination for the iterated commutators of multilinear pseudo-differential operators with the symbol σ belonging to the Hörmander class, and establishes the quantitative bounds of the Bloom type estimates for such commutators. Moreover, the Cp estimates for the corresponding multilinear pseudo-differential operators are also obtained.

Adaptive Fuzzy Control for a DC Mmotor Using Weight Tuning Algorithm (가중치 조정 알고리즘을 이용한 직류 전동기의 적응 퍼지제어)

  • 손재현;지성현;전병태;임종광;남문현
    • 제어로봇시스템학회:학술대회논문집
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    • 1993.10a
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    • pp.360-363
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    • 1993
  • Fuzzy Logic Control immitating human decision making process is a novel control strategy based on expert's experience and knowledge and many process designers are developing its applications. But it is difficult to obtain a set of rules from human operator. And there is a limitation on adjusting to environmental changes. In this paper, we proposed adaptive fuzzy algorithm to overcome these difficulties using weights added to the rules. To verify the validity of this control strategy, we have implemented this algorithm for a DC servo motor with PD-type fuzzy controller.

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Evolving Neural Network for Stabilization Control of Inverted Pendulum (진화 신경회로망을 이용한 도립진자 시스템의 안정화)

  • Shim, Young-Jin;Lee, Joon-Tark
    • Proceedings of the KIEE Conference
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    • 1999.07b
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    • pp.963-965
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    • 1999
  • A linear chromosome combined with a grid-based representation of the network and a new crossover operator allow the evolution of the architecture and the weights simultaneously. In our approach there is no need for a separate weight optimization procedure and networks with more than one type of activation function can be evolved. In this paper one evolutionary' strategy of a given dual neural controller was introduced and the simulation results were described in detail through applications to a stabilization control of an Inverted Pendulum System.

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SUBNORMAL WEIGHTED SHIFTS WHOSE MOMENT MEASURES HAVE POSITIVE MASS AT THE ORIGIN

  • Lee, Mi Ryeong;Kim, Kyung Mi
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • v.16 no.4
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    • pp.217-223
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    • 2012
  • In this note we examine the effects on subnormality of adding a new weight or changing some weights for a given subnormal weighted shift. We consider a subnormal weighted shift with a positive point mass at the origin by means of continuous functions. Finally, we introduce some methods for evaluating point mass at the origin about moment measures associated with weighted shifts.

The Edge Enhanced Error Diffusion Appling Edge Information Weights (에지 정보 가중치를 적용한 에지 강조 오차 확산 방법)

  • 곽내정;양운모;유창연;한재혁
    • The Journal of the Korea Contents Association
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    • v.3 no.3
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    • pp.11-18
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    • 2003
  • Error diffusion is a procedure for generating high quality bilevel images from continuous-tone images but blurs the edge information. To solve this problem, we propose the improved method appling edge enhanced weights based on local characteristic of the original images. We consider edge information as local characteristic. First, we produce edges by appling 3$\times$3 sobel operator to the original image. The edge is normalized from 0 to 1. Edge information weights are computed by using sinusoidal function and the normalized edge information. The edge enhanced weights are computed by using edge information weights multiplied input pixels. The proposed method is compared with conventional methods by measuring the edge correlation and quality of the recovered images from the halftoned images. The proposed method provides better quality than the conventional method due to the enhanced edge and represents efficiently the detail edge. Also, the proposed method is improved in edge representation than the conventional method.

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