• Title/Summary/Keyword: Levenberg-Marquardt

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A Data Fitting Technique for Rational Function Models Using the LM Optimization Algorithm (LM 최적화 알고리즘을 이용한 유리함수 모델의 데이터 피팅)

  • Park, Jae-Han;Bae, Ji-Hun;Baeg, Moon-Hong
    • Journal of Institute of Control, Robotics and Systems
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    • v.17 no.8
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    • pp.768-776
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    • 2011
  • This paper considers a data fitting problem for rational function models using the LM (Levenberg-Marquardt) optimization method. Rational function models have various merits on representing a wide range of shapes and modeling complicated structures by polynomials of low degrees in both the numerator and denominator. However, rational functions are nonlinear in the parameter vector, thereby requiring nonlinear optimization methods to solve the fitting problem. In this paper, we propose a data fitting method for rational function models based on the LM algorithm which is renowned as an effective nonlinear optimization technique. Simulations show that the fitting results are robust against the measurement noises and uncertainties. The effectiveness of the proposed method is further demonstrated by the real application to a 3D depth camera calibration problem.

Sensor Fusion and Neural Network Analysis for Drill-Wear Monitoring (센서퓨젼 기반의 인공신경망을 이용한 드릴 마모 모니터링)

  • Prasopchaichana, Kritsada;Kwon, Oh-Yang
    • Transactions of the Korean Society of Machine Tool Engineers
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    • v.17 no.1
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    • pp.77-85
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    • 2008
  • The objective of the study is to construct a sensor fusion system for tool-condition monitoring (TCM) that will lead to a more efficient and economical drill usage. Drill-wear monitoring has an important attribute in the automatic machining processes as it can help preventing the damage of tools and workpieces, and optimizing the drill usage. In this study, we present the architectures of a multi-layer feed-forward neural network with Levenberg-Marquardt training algorithm based on sensor fusion for the monitoring of drill-wear condition. The input features to the neural networks were extracted from AE, vibration and current signals using the wavelet packet transform (WPT) analysis. Training and testing were performed at a moderate range of cutting conditions in the dry drilling of steel plates. The results show good performance in drill- wear monitoring by the proposed method of sensor fusion and neural network analysis.

Study on Crustal Attenuation (Q) for Strong Ground Motion Simulation in the Southern Part of Korea Peninsula (강지진동 모사를 위한 한반도 남부의 지각감쇠 특성에 대한 연구)

  • Yun, Kwan-Hee;Park, Dong-Hee;Chang, Chun-Joong
    • Proceedings of the Earthquake Engineering Society of Korea Conference
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    • 2002.09a
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    • pp.43-50
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    • 2002
  • 부지고유의 강지진동모사를 위해 한반도 남부의 지각감쇠(Q)에 대한 두 가지 특성을 비선형 역산을 통해 규명하였다. 한 특성은 한반도 남부의 주요 지체구조구 및 특정 주향각에 대한 Q의 이방성이고 다른 특성은 Q의 수평방향으로의 공간적 변화 특성이다. 0의 이방성은 주향에 평행한 Q와 이에 수직한 Q의 비로 정의되었다. 사용된 지진자료는 190개 지진에 대한 3,400개 기록의 푸리에스펙트럼으로서 기록의 파선 분포는 한반도 남부 대부분을 조밀하게 덮었다. 역산 방법은 Levenberg-Marquardt 비선형역산 방법을 보다 안정화시킨 수정된 Levenberg-Marquardt 방법이 사용되었으며 기존에 도출된 광역적인 지진동파라미터를 초기해로 활용하였다. 역산 결과 국내의 중요 지체구조구 중 소백산육괴와 경상분지는 서로 다른 방향의 강한 Q 이방성을 나타내었으며 Q의 공간적 분포는 지진발생위치와 매우 밀접한 상관관계를 보여주었다

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Iris Recognition System using Multi-Resolution Frequency Analysis and Back-Propagation (다해상도 주파수 분할과 Back-Propagation을 이용한 홍채인식)

  • Park, Kyoung-Woo
    • Journal of Integrative Natural Science
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    • v.1 no.3
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    • pp.221-229
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    • 2008
  • 본 논문에서는 기존의 개인 식별 방법의 한계를 해결하는 대안으로 떠오르고 있는 생체인식 기술 중 인식률이 뛰어나고 신뢰성 있는 홍채인식 시스템을 구현하고자 한다. 구현을 위하여 신호처리 분야에서 주로 사용되는 wavelet변환으로 계수 특징 값 추출을 하였으며, 인식률을 알아보기 위하여 신경망 기법을 이용하고자 한다. 그러나 신경망 기법에서 주로 사용되는 비선형 최적화기법인 Scale Conjugate Gradient는 최적화 문제점을 해결하기에는 수렴속도가 느리기 때문에 적합하지 않다. 따라서 본 논문에서는 기존 Scale Conjugate Gradient를 보완한 Levenberg-Marquardt Back-Propagation을 홍채인식에 적용하여 구현함으로써 인식율을 높이고자 한다. 적용한 알고리즘 구현으로 해의 수렴정도, 변수 벡터의 변화정도에 따라 크기를 적절히 변화시킴으로써 수렴속도를 개선하고, 효율성과 안정성을 동시에 얻을 수 있었다.

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Nonlinear Optimization Method for Multiple Image Registration (다수의 영상 특징점 정합을 위한 비선형 최적화 기법)

  • Ahn, Yang-Keun;Hong, Ji-Man
    • Journal of Broadcast Engineering
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    • v.17 no.4
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    • pp.634-639
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    • 2012
  • In this paper, we propose nonlinear optimization method for feature matching from multiple view image. Typical solution of feature matching is by solving linear equation. However this solution has large error due to nonlinearity of image formation model. If typical nonlinear optimization method is used, complexity grows exponentially over the number of features. To make complexity lower, we use sparse Levenberg-Marquardt nonlinear optimization for matching of features over multiple view image.

LM-BP algorithm application for odour classification and concentration prediction using MOS sensor array (MOS 센서어레이를 이용한 냄새 분류 및 농도추정을 위한 LM-BP 알고리즘 응용)

  • 최찬석;변형기;김정도
    • 제어로봇시스템학회:학술대회논문집
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    • 2000.10a
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    • pp.210-210
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    • 2000
  • In this paper, we have investigated the properties of multi-layer perceptron (MLP) for odour patterns classification and concentration estimation simultaneously. When the MLP may be has a fast convergence speed with small error and excellent mapping ability for classification, it can be possible to use for classification and concentration prediction of volatile chemicals simultaneously. However, the conventional MLP, which is back-Propagation of error based on the steepest descent method, was difficult to use for odour classification and concentration estimation simultaneously, because it is slow to converge and may fall into the local minimum. We adapted the Levenberg-Marquardt(LM) algorithm [4,5] having advantages both the steepest descent method and Gauss-Newton method instead of the conventional steepest descent method for the simultaneous classification and concentration estimation of odours. And, We designed the artificial odour sensing system(Electronic Nose) and applied LM-BP algorithm for classification and concentration prediction of VOC gases.

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Iterative Teconstruction of a Cylinder Buried in the Lossy Half Space (손실 반공간에 묻힌 원통형 산란체의 검출 및 영상제구성에 의한 식별)

  • 김정석;나정웅
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • v.11 no.6
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    • pp.939-945
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    • 2000
  • A cylindrical object buried in the lossy half space is reconstructed from the measured scattered fields above the lossy half space. The position, the size and the medium parameters i.e. relative dielectric constants and conductivity of the buried object as well as the medium parameters of the background lossy half space are obtained from the scattered fields by using the iterative inversion method and the optimization hybrid algorithm combining the genetic algorithm and the Levenberg-Marquardt algorithm. Illposedness of the inversion due to the measurement errors in the scattered fields are regularized by filtering out the evanescent modes in the spatial frequency spectrum domain.

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The Study on the SPICE Model Parameter Extraction Method for the Schottky Diode Under DC Forward Bias (DC 순방향 바이어스 인가조건에서 Schottky 다이오드의 SPICE 모델 파라미터 추출 방법에 관한 연구)

  • Lee, Un-Gu
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.65 no.3
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    • pp.439-444
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    • 2016
  • The method for extracting the SPICE model parameter of Schottky diode under DC forward bias is proposed. A method for improving the accuracy of the SPICE model parameter at various temperatures is proposed. Three analysis steps according to the magnitude of the current is used in order to extract the parameters effectively. At each analysis step, initial parameters are calculated by using the current-voltage equations and the Levenberg-Marquardt analysis is proceeded. To verify the validity of the proposed method, the SPICE model parameters for the BAT45 and FSV1045 under DC forward bias is extracted. Schottky diode currents obtained from the proposed method shows the average relative error of 6.1% and 9% compared with the measured data for the BAT45 and FSV1045 sample at various temperatures.

Water Quality Forecasting at Gongju station in Geum River using Neural Network Model (신경망 모형을 적용한 금강 공주지점의 수질예측)

  • An, Sang-Jin;Yeon, In-Seong;Han, Yang-Su;Lee, Jae-Gyeong
    • Journal of Korea Water Resources Association
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    • v.34 no.6
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    • pp.701-711
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    • 2001
  • Forecasting of water quality variation is not an easy process due to the complicated nature of various water quality factors and their interrelationships. The objective of this study is to test the applicability of neural network models to the forecasting of the water quality at Gongju station in Geum River. This is done by forecasting monthly water qualities such as DO, BOD, and TN, and comparing with those obtained by ARIMA model. The neural network models of this study use BP(Back Propagation) algorithm for training. In order to improve the performance of the training, the models are tested in three different styles ; MANN model which uses the Moment-Adaptive learning rate method, LMNN model which uses the Levenberg-Marquardt method, and MNN model which separates the hidden layers for judgement factors from the hidden layers for water quality data. the results show that the forecasted water qualities are reasonably close to the observed data. And the MNN model shows the best results among the three models tested

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Real-Time Image Mosaic Using DirectX (DirectX를 이용한 실시간 영상 모자익)

  • Chong, Min-Yeong;Choi, Seung-Hyun;Bae, Ki-Tae;Lee, Chil-Woo
    • The KIPS Transactions:PartB
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    • v.10B no.7
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    • pp.803-810
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    • 2003
  • In this paper, we describe a fast image mosaic method for constructing a large-scale image with video image captured from cameras that are arranged in radial shape. In the first step, we adopt the phase correlation algorithm to estimate the horizontal and vertical displacement between two adjacent images. Secondly, we calculate the accurate transform matrix among those cameras with Levenberg-Marquardt method. In the last step, those images are stitched into one large scale image in real-time by applying the transform matrix to the texture mapping function of DirectX. The feature of the method is that we do not need to use special hardware devices or write machine-level programs for Implementing a real-time mosaic system since we use conventional graphic APIs (Application Programming Interfaces), DirectX for image synthesis process.