• Title/Summary/Keyword: error criterion

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Euclidean Distance of Biased Error Probability for Communication in Non-Gaussian Noise (비-가우시안 잡음하의 통신을 위한 바이어스된 오차 분포의 유클리드 거리)

  • Kim, Namyong
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.14 no.3
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    • pp.1416-1421
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    • 2013
  • In this paper, the Euclidean distance between the probability density functions (PDFs) for biased errors and a Dirac-delta function located at zero on the error axis is proposed as a new performance criterion for adaptive systems in non-Gaussian noise environments. Also, based on the proposed performance criterion, a supervised adaptive algorithm is derived and applied to adaptive equalization in the shallow-water communication channel distorted by severe multipath fading, impulsive and DC-bias noise. The simulation results compared with the performance of the existing MEDE algorithm show that the proposed algorithm yields over 5 dB of MSE enhancement and the capability of relocating the mean of the error PDF to zero on the error axis.

Least absolute deviation estimator based consistent model selection in regression

  • Shende, K.S.;Kashid, D.N.
    • Communications for Statistical Applications and Methods
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    • v.26 no.3
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    • pp.273-293
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    • 2019
  • We consider the problem of model selection in multiple linear regression with outliers and non-normal error distributions. In this article, the robust model selection criterion is proposed based on the robust estimation method with the least absolute deviation (LAD). The proposed criterion is shown to be consistent. We suggest proposed criterion based algorithms that are suitable for a large number of predictors in the model. These algorithms select only relevant predictor variables with probability one for large sample sizes. An exhaustive simulation study shows that the criterion performs well. However, the proposed criterion is applied to a real data set to examine its applicability. The simulation results show the proficiency of algorithms in the presence of outliers, non-normal distribution, and multicollinearity.

Implementation of Various FIR Filters using Constrained Least Square Criterion (제한된 최소 자승 오차 기준에 의한 다양한 FIR 필터 구현)

  • Hong, Seung-Eok;Kim, Joong-Kyu
    • Journal of the Korean Institute of Telematics and Electronics S
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    • v.35S no.10
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    • pp.175-185
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    • 1998
  • In this paper, we studied some design methodologies of typical FIR filters based on the peak-error constrained least square criterion which was first introducedd by Adams in 1991. This method is a mixed type of the classical least squared error method(LSM) and the so-called min-max error method (MMM). And by considering both the least squared error as well as the maximum error, the solution, i.e. the impulse response of the filter, can be found only when the restrictions on maximum gain, transition bandwidth, and the squared error are satisfied simultaneously under some trade-off conditions. We used the multiple exchange algorithms for optimization procedure and applied the design methodology to the cases of the multiband filter, the differentiator, and the Hilbert transformer by taking the balance of two design criteria into account. The results show that the peak-error constrained least weighted square error design method(PLEM) is superior in performance to the existing LSM and MMM from both the squared error and the maximum error standpoints. And it is verified that PLEM can be applied to not only the case of simple low pass filter, but also to various types of FIR filters.

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Design and Performance Evaluation of Self-Localization with Landmarks

  • Masaki, Sano;Yoon, Ji-Sup
    • 제어로봇시스템학회:학술대회논문집
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    • 2001.10a
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    • pp.155.1-155
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    • 2001
  • The main contribution of this research is that it gives:(1) a rational criterion to select the best self-localizing method for a particular situation, and (2) an appropriate arrangement of the landmarks to minimize the error. In this paper, the authors propose a set of indices to evaluate the accuracy of the self-localizing methods, and the indices are derived from a sensitivity which is defined as the ratio of the localizing error to sensor error. And then, we compare the accuracy of self-localizing a mobile robot with landmarks based on the indices, and propose a rational way to minimize the localizing error.

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Analysis of Limitation Factor Effects on Digital PID Controller(II) : Finite Wordlength Issue (디지털 PID 제어기의 제한 요소 영향 분석(II):유한 단어 길이 문)

  • 홍석민;김인중;이상정
    • The Transactions of the Korean Institute of Electrical Engineers
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    • v.43 no.2
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    • pp.318-329
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    • 1994
  • This paper deals with the finite wordlength effect on the performance of digital PID controllers. The finite wordlength, one of the major limitation factors in digital controllers, results on two kinds of quantization error : the signal quantization error and the coefficient quantization error. This paper derives the variance of the plant output due to the signal quantization error. Using stability margins as performance criterion, the statistical wordlength concept is adopted for coefficient wordlength selection. Finally, the experimental results exhibit satisfactory performance of the digital PID controller with statistical coefficient wordlength.

A Comparative Study for Several Bayesian Estimators Under Squared Error Loss Function

  • Kim, Yeong-Hwa
    • Journal of the Korean Data and Information Science Society
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    • v.16 no.2
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    • pp.371-382
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    • 2005
  • The paper compares the performance of some widely used Bayesian estimators such as Bayes estimator, empirical Bayes estimator, constrained Bayes estimator and constrained Bayes estimator by means of a new measurement under squared error loss function for the typical normal-normal situation. The proposed measurement is a weighted sum of the precisions of first and second moments. As a result, one can gets the criterion according to the size of prior variance against the population variance.

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Decision Criterion for Weak M-ary Signals: Part 1. The Criterion and Decison Regions (약한 다진 신호에 알맞은 결정 기준: 1부. 결정 기준과 결정 영역)

  • Park, So-Ryoung;Koo, Jin-Kyu;Oh, Jong-Ho;Kwon, Hyoung-Moom;Song, Iick-Ho
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.30 no.9A
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    • pp.705-713
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    • 2005
  • A novel decision criterion for weak M-ary signals is proposed in this paper. In the sense of minimizing the error probability, the proposed decision criterion is optimum when the signal strength approaches zero. In Part 1, the proposed detection criterion is proposed and investigated in detail, some interesting properties of the proposed decision criterion are described, and examples of decision regions are obtained. Based on the proposed detection criterion, a detection scheme for ultra wideband multiple access systems is investigated in the presence of impulsive interference in Part 2.

Acoustic Emission Source Characterization and Fracture Behavior of Finite-width Plate with a Circular Hole Defect using Artificial Neural Network (인공신경회로망을 이용한 원공결함을 갖는 유한 폭 판재의 음향방출 음원특성과 파괴거동에 관한 연구)

  • Rhee, Zhang-Kyu;Woo, Chang-Ki
    • Transactions of the Korean Society of Machine Tool Engineers
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    • v.18 no.2
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    • pp.170-177
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    • 2009
  • The objective of this study is to evaluate an acoustic emission (AE) source characterization and fracture behavior of the SM45C steel by using back-propagation neural network (BPN). In previous research Ref. [8] about k-nearest neighbor classifier (k-NNC) continuity, we used K-means clustering method as an unsupervised learning method for obtaining multi-variate AE main data sets, such as AE counts, energy, amplitude, risetime, duration and counts to peak. Similarly, we applied k-NNC and BPN as a supervised learning method for obtaining multi-variate AE working data sets. According to the error of convergence for determinant criterion Wilk's ${\lambda}$, heuristic criteria D&B(Rij) and Tou values are discussed. As a result, in k-NNC before fracture signal is detected or when fracture signal is detected, showed that produce some empty classes in BPN. And we confirmed that could save trouble in AE signal processing if suitable error of convergence or acceptable encoding error give to BPN.

Bayesian inference for an ordered multiple linear regression with skew normal errors

  • Jeong, Jeongmun;Chung, Younshik
    • Communications for Statistical Applications and Methods
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    • v.27 no.2
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    • pp.189-199
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    • 2020
  • This paper studies a Bayesian ordered multiple linear regression model with skew normal error. It is reasonable that the kind of inherent information available in an applied regression requires some constraints on the coefficients to be estimated. In addition, the assumption of normality of the errors is sometimes not appropriate in the real data. Therefore, to explain such situations more flexibly, we use the skew-normal distribution given by Sahu et al. (The Canadian Journal of Statistics, 31, 129-150, 2003) for error-terms including normal distribution. For Bayesian methodology, the Markov chain Monte Carlo method is employed to resolve complicated integration problems. Also, under the improper priors, the propriety of the associated posterior density is shown. Our Bayesian proposed model is applied to NZAPB's apple data. For model comparison between the skew normal error model and the normal error model, we use the Bayes factor and deviance information criterion given by Spiegelhalter et al. (Journal of the Royal Statistical Society Series B (Statistical Methodology), 64, 583-639, 2002). We also consider the problem of detecting an influential point concerning skewness using Bayes factors. Finally, concluding remarks are discussed.

Macroblock-based Adaptive Interpolation Filter Method Using New Filter Selection Criterion in H.264/AVC (H.264/AVC에서 새로운 필터 선택 기준을 이용한 매크로 블록 기반 적응 보간 필터 방법)

  • Yoon, Kun-Su;Moon, Yong-Ho;Kim, Jae-Ho
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.33 no.4C
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    • pp.312-320
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    • 2008
  • The macroblock-based adaptive interpolation filter method has been considered to be able to achieve high coding efficiency in H.264/AVC. In this method, although the filter selection criterion considered in terms of rate and distortion have showed a good performance, it still leaves room for improvement. To improve high coding efficiency better than conventional method, we propose a new filter selection criterion which considers two bit rates, motion vector and prediction error, and reconstruction error. In addition, the algorithm for reducing the overhead of transmitting the selected filter information is presented. Experimental results show that the proposed method significantly improves the coding efficiency compared to ones using conventional criterion. It leads to about a 5.19% (1 reference frame) and 5.14% (5 reference frames) bit rate savings on average compared to H.264/AVC, respectively.