• Title/Summary/Keyword: Least mean squares

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Overall damage identification of flag-shaped hysteresis systems under seismic excitation

  • Zhou, Cong;Chase, J. Geoffrey;Rodgers, Geoffrey W.;Xu, Chao;Tomlinson, Hamish
    • Smart Structures and Systems
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    • v.16 no.1
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    • pp.163-181
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    • 2015
  • This research investigates the structural health monitoring of nonlinear structures after a major seismic event. It considers the identification of flag-shaped or pinched hysteresis behavior in response to structures as a more general case of a normal hysteresis curve without pinching. The method is based on the overall least squares methods and the log likelihood ratio test. In particular, the structural response is divided into different loading and unloading sub-half cycles. The overall least squares analysis is first implemented to obtain the minimum residual mean square estimates of structural parameters for each sub-half cycle with the number of segments assumed. The log likelihood ratio test is used to assess the likelihood of these nonlinear segments being true representations in the presence of noise and model error. The resulting regression coefficients for identified segmented regression models are finally used to obtain stiffness, yielding deformation and energy dissipation parameters. The performance of the method is illustrated using a single degree of freedom system and a suite of 20 earthquake records. RMS noise of 5%, 10%, 15% and 20% is added to the response data to assess the robustness of the identification routine. The proposed method is computationally efficient and accurate in identifying the damage parameters within 10% average of the known values even with 20% added noise. The method requires no user input and could thus be automated and performed in real-time for each sub-half cycle, with results available effectively immediately after an event as well as during an event, if required.

Effective Reduction of Horizontal Error in Laser Scanning Information by Strip-Wise Least Squares Adjustments

  • Lee, Byoung-Kil;Yu, Ki-Yun;Pyeon, Moo-Wook
    • ETRI Journal
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    • v.25 no.2
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    • pp.109-120
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    • 2003
  • Though the airborne laser scanning (ALS) technique is becoming more popular in many applications, horizontal accuracy of points scanned by the ALS is not yet satisfactory when compared with the accuracy achieved for vertical positions. One of the major reasons is the drift that occurs in the inertial measurement unit (IMU) during the scanning. This paper presents an algorithm that adjusts for the error that is introduced mainly by the drift of the IMU that renders systematic differences between strips on the same area. For this, we set up an observation equation for strip-wise adjustments and completed it with tie point and control point coordinates derived from the scanned strips and information from aerial photos. To effectively capture the tie points, we developed a set of procedures that constructs a digital surface model (DSM) with breaklines and then performed feature-based matching on strips resulting in a set of reliable tie points. Solving the observation equations by the least squares method produced a set of affine transformation equations with 6 parameters that we used to transform the strips for adjusting the horizontal error. Experimental results after evaluation of the accuracy showed a root mean squared error (RMSE) of the adjusted strip points of 0.27 m, which is significant considering the RMSE before adjustment was 0.77 m.

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Analysis of flexural fatigue failure of concrete made with 100% coarse recycled and natural aggregates

  • Murali, G.;Indhumathi, T.;Karthikeyan, K.;Ramkumar, V.R.
    • Computers and Concrete
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    • v.21 no.3
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    • pp.291-298
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    • 2018
  • In this study, the flexural fatigue performance of concrete beams made with 100% Coarse Recycled Concrete Aggregates (RCA) and 100% Coarse Natural Aggregates (NA) were statistically commanded. For this purpose, the experimental fatigue test results of earlier researcher were investigated using two parameter Weibull distribution. The shape and scale parameters of Weibull distribution function was evaluated using seven numerical methods namely, Graphical method (GM), Least-Squares (LS) regression of Y on X, Least-Squares (LS) regression of X on Y, Empherical Method of Lysen (EML), Mean Standard Deviation Method (MSDM), Energy Pattern Factor Method (EPFM) and Method of Moments (MOM). The average of Weibull parameters was used to incorporate survival probability into stress (S)-fatigue life (N) relationships. Based on the Weibull theory, as single and double logarithm fatigue equations for RCA and NA under different survival probability were provided. The results revealed that, by considering 0.9 level survival probability, the theoretical stress level corresponding to a fatigue failure number equal to one million cycle, decreases by 8.77% (calculated using single-logarithm fatigue equation) and 6.62% (calculated using double logarithm fatigue equation) in RCA when compared to NA concrete.

Spatio-temporal protocol for power-efficient acquisition wireless sensors based SHM

  • Bogdanovic, Nikola;Ampeliotis, Dimitris;Berberidis, Kostas;Casciat, Fabio;Plata-Chaves, Jorge
    • Smart Structures and Systems
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    • v.14 no.1
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    • pp.1-16
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    • 2014
  • In this work, we address the so-called sensor reachback problem for Wireless Sensor Networks, which consists in collecting the measurements acquired by a large number of sensor nodes into a sink node which has major computational and power capabilities. Focused on applications such as Structural Health Monitoring, we propose a cooperative communication protocol that exploits the spatio-temporal correlations of the sensor measurements in order to save energy when transmitting the information to the sink node in a non-stationary environment. In addition to cooperative communications, the protocol is based on two well-studied adaptive filtering techniques, Least Mean Squares and Recursive Least Squares, which trade off computational complexity and reduction in the number of transmissions to the sink node. Finally, experiments with real acceleration measurements, obtained from the Canton Tower in China, are included to show the effectiveness of the proposed method.

Study of Reliability-Based Robust Design Optimization Using Conservative Approximate Meta-Models (보수적 근사모델을 적용한 신뢰성 기반 강건 최적설계 방법)

  • Sim, Hyoung Min;Song, Chang Yong;Lee, Jongsoo;Choi, Ha-Young
    • Journal of Ocean Engineering and Technology
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    • v.26 no.6
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    • pp.80-85
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    • 2012
  • The methods of robust design optimization (RDO) and reliability-based robust design optimization (RBRDO) were implemented in the present study. RBRDO is an integrated method that accounts for the design robustness of an objective function and for the reliability of constraints. The objective function in RBRDO is expressed in terms of the mean and standard deviation of an original objective function. Thus, a multi-objective formulation is employed. The regressive approximate models are generated via the moving least squares method (MLSM) and constraint-feasible moving least squares method (CF-MLSM), which make it possible to realize the feasibility regardless of the multimodality/nonlinearity of the constraint function during the approximate optimization processes. The regression model based RBRDO is newly devised and its numerical characteristics are explored using the design of an actively controlled ten bar truss structure.

On the Behavior of the Signed Regressor Least Mean Squares Adaptation with Gaussian Inputs (가우시안 입력신호에 대한 Signed Regressor 최소 평균자승 적응 방식의 동작 특성)

  • 조성호
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.18 no.7
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    • pp.1028-1035
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    • 1993
  • The signed regressor (SR) algorithm employs one bit quantization on the input regressor (or tap input) in such a way that the quantized input sequences become +1 or -1. The algorithm is computationally more efficient by nature than the popular least mean square (LMS) algorithm. The behavior of the SR algorithm unfortunately is heavily dependent on the characteristics of the input signal, and there are some Inputs for which the SR algorithm becomes unstable. It is known, however, that such a stability problem does not take place with the SR algorithm when the input signal is Gaussian, such as in the case of speech processing. In this paper, we explore a statistical analysis of the SR algorithm. Under the assumption that signals involved are zero-mean and Gaussian, and further employing the commonly used independence assumption, we derive a set of nonlinear evolution equations that characterizes the mean and mean-squared behavior of the SR algorithm. Experimental results that show very good agreement with our theoretical derivations are also presented.

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Predictions of MLE and LSE in NHPP Software Reliability Model

  • Song, Kwang-Yoon;Chang, In-Hong;Lee, Seung-Woo
    • Journal of Integrative Natural Science
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    • v.6 no.2
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    • pp.111-117
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    • 2013
  • We propose a mean value function for software failures in NHPP software reliability model. And we deal with the maximum likelihood estimation and the least squares estimation in the proposed mean value function. The explicit mean value function solution for the proposed model is presented by MLE and LSE in two data sets. The values of SSE and MSE is presented in two data sets by MLE and LSE. We compare the predicted number of faults with the actual two data sets using the proposed mean value function.

Flame Speeds of Premixed n-Butanol Flames at High Pressures (고압조건에서 n-Butanol 예혼합화염의 화염속도)

  • Lee, Ki Yong;Park, Gi Duk
    • 한국연소학회:학술대회논문집
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    • 2014.11a
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    • pp.87-89
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    • 2014
  • Spherically expanding flames are used to measure flame speeds, which are derived the corresponding laminar flame speeds at zero stretch. Flame speeds of n-butanol at high pressure are studied over an extensive range of equivalence ratios. The classical shadowgraph technique is used to detect the reaction zone. In analytical methodology the optimization process using least mean squares is performed to extract the laminar flame speeds. Laminar flame speeds are compared with results obtained from numerical work.

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Multiple Model Adaptive Active Control of Noise in a Duct (덕트 잡음 제거를 위한 다중 모델 적응 능동 소음 제어)

  • 남현도;정종대
    • Proceedings of the Korean Institute of IIIuminating and Electrical Installation Engineers Conference
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    • 1992.11a
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    • pp.56-59
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    • 1992
  • Adaptive active attenuation of noise in a duct is considered. A duct is modelled when the acoustic feedback exists. The secondary path transfer function is estimated using multiple model approaches. An IIR structure is assumed for the control filter, and the recursive least mean squares algorithm is used to adjust the filter coefficients.

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Separate Fuzzy Regression with Crisp Input and Fuzzy Output

  • Yoon, Jin-Hee;Choi, Seung-Hoe
    • Journal of the Korean Data and Information Science Society
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    • v.18 no.2
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    • pp.301-314
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    • 2007
  • The aim of this paper is to deal with a method to construct a separate fuzzy regression model with crisp input and fuzzy output data using a best response function for the center and the width of the predicted output. Also we introduce the crisp mean and variance of the predicted fuzzy value and also give some examples to compare a performance of the proposed fuzzy model with various other fuzzy regression model.

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