• 제목/요약/키워드: Two-Step Least Squares

검색결과 21건 처리시간 0.024초

최소자승법과 음향학적 모델링 기반의 적은 개수의 측정점에 대한 머리전달함수 보간 기법 (Interpolation method of head-related transfer function based on the least squares method and an acoustic modeling with a small number of measurement points)

  • 이석진
    • 한국음향학회지
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    • 제36권5호
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    • pp.338-344
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    • 2017
  • 본 논문에서는 머리전달함수 보간 알고리즘을 제안하며, 특히 작은 크기의 측정 데이터를 다루는 경우를 고려한다. 제안하는 알고리즘은 머리전달함수의 음향학적 모델링에 기초하며, 모델링 계수를 추정함으로써 머리전달함수를 보간한다. 이 때 측정 위치의 개수가 부족할 경우 모델링 계수를 추정하는 것은 매우 어려우며, 따라서 본 알고리즘은 벡터-기반 크기 패닝 기법을 이용하여 데이터를 확장함으로써 이러한 문제를 해결하려고 한다. 본 알고리즘은 벡터-기반 크기 패닝 기법 기반의 데이터 확장 단계와, 최소자승법 기반의 모델링 계수 추정 단계의 두 단계로 이루어져 있다. 제안하는 알고리즘의 성능을 확인하기 위하여 CIPIC(Center for Image Processing and Integrated Computing) 머리전달함수 데이터베이스의 측정 데이터 중 일부를 이용한 시뮬레이션을 진행하였으며, 시뮬레이션 결과 약 1.5 dB ~ 4 dB의 최소 자승 오차가 감소됨을 확인할 수 있었다.

단계양수시험 해석시 우물상수 산정 방법이 우물효율에 미치는 영향 (Effects of Well Parameters Analysis Techniques on Evaluation of Well Efficiency in Step-Drawdown Test)

  • 정상용;김병우;김규범;권해우
    • 지질공학
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    • 제19권1호
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    • pp.71-79
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    • 2009
  • 다공질매질에 굴착된 2개의 관정과 단열암반층에 굴착된 2개의 관정으로 부터 단계양수시험이 실시되었다. Jacob(1947)이 제시한 P = 2.0 값은 단계양수시험의 수위강하를 해석하기 위하여 다공질매질과 단열암반층에 모두 적용되고 있다. 단계양수시험 해석에 대한 선형 모델(Jacob's graphic method)의 문제점들을 파악하기 위하여, 선형과 비선형 모델(Labadie and Helweg's least-sauares method)에서 산정된 우물상수(대수층손실상수(B), 우물손실상수(C) 및 우물손실지수(P))를 비교 분석하였다. 선형과 비선형 모델에서 산정된 C와 P값의 차이는 대수층의 투수성과 관정의 조건에 따라 다양하게 나타났다. 즉, 다공질매질에서 비선형 모델로 산정된 C값은 선형 모델로 산정된 C값에 비해 약 $10^0{\sim}10^{-2}$, 단열암반층에서는 약 $10^{-3}{\sim}10^{-6}$배 낮게 나타났다. 비선형 모델을 통해 산정된 다공질매질의 P값은 $2.124{\sim}2.775$, 단열암반층은 $3.459{\sim}5.635$의 범위로 산정되었으며, 이때 비선형 모델에서 우물손실은 P값에 따라 크게 좌우되었다. 선형과 비선형 모델을 통해 산정된 우물효율성의 차이는 다공질매질에서 $1.56{\sim}14.89%$, 단열암반층에서 $8.73{\sim}24.71%$를 보여 모델의 선택에 따라 상당한 오차를 가지는 것으로 나타났다. 또한 비선형의 최소제곱법을 적용한 회귀분석 방법이 모든 대수층의 단계양수시험 해석에 있어 매우 유용함을 확인하였다.

다단계최적화방법에 의한 선박구조물의 동특성의 최적변경법에 관한연구 (Study on Optimum Modification Method of Dynamic Charcteristics of Ship Structures by Multi-level Optimization)

  • 박석주
    • Journal of Advanced Marine Engineering and Technology
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    • 제23권4호
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    • pp.574-582
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    • 1999
  • This paper discusses the multi-level optimization method in dynamic optimization problems through stiffened plate of ship structures. In structural optimization the computational cost increases rapidly as the number of design variables increases. And we need a great amount of cal-culation and time on problems of modified dynamic characteristics of large and complicated struc-tures. In this paper the multi-level optimization is proposed which decreases computational time and cost. the dynamic optimum designs of stiffened plate that control the natural frequency and minimize weight subjected to constraints condition are derived. The way to apply the multi-level optimization methods in this study follow: In the first step the dynamic characteristics is controlled for the two-dimensional model of stiffened plate by sensitivity analysis and quasi-least squares methods. In the second step the cross-section of the stiffener is decided so that the weight is minimized under needed constraints by the steepest descent or ascent method. In the third the three-dimensional model is made based on the results of the first step and the second step confirmation and finer tuning of the objective function are carried out. It is shown that the results are effective in the optimum modification for dynamic characteristics of the stiffened plate.

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두 회귀직선의 평행성에 대한 로버스트 검정 (A robust test for the parallelism of two regression lines)

  • 남호수;송문섭;신봉섭
    • 응용통계연구
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    • 제8권2호
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    • pp.77-86
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    • 1995
  • 본 논문에서는 두 회귀직선의 평행성에 대한 로버스트 검정법을 제안하고, 모의실험과 예를 통하여 기존의 방법들과 유의수준의 안정성 및 검정력의 측면에서 비교하였다. 제안된 검정법은 Song et al. (1994b)에 의하여 제안된 최소절사제곱 추정량을 초기치로 하는 일단계 GM-추정량에 기초를 두고 있다. 이 추정량은 최대붕괴점과 유계영향함수를 갖는 것으로 알려져 있다.

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단일 레이저 포인터를 이용한 저복잡도 휴대형 3D 스캐너 (Low-Complexity Handheld 3-D Scanner Using a Laser Pointer)

  • 이경미;이연경;박도영;유훈
    • 전기학회논문지
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    • 제64권3호
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    • pp.458-464
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    • 2015
  • This paper proposes a portable 3-D scanning technique using a laser pointer. 3-D scanning is a process that acquires surface information from an 3-D object. There have been many studies on 3-D scanning. The methods of 3-D scanning are summarized into some methods based on multiple cameras, line lasers, and light pattern recognition. However, those methods has major disadvantages of their high cost and big size for portable appliances such as smartphones and digital cameras. In this paper, a 3-D scanning system using a low-cost and small-sized laser pointer are introduced to solve the problems. To do so, we propose a 3-D localization technique for a laser point. The proposed method consists of two main parts; one is a fast recognition of input images to obtain 2-D information of a point laser and the other is calibration based on the least-squares technique to calculate the 3-D information overall. To verified our method, we carry out experiments. It is proved that the proposed method provides 3-D surface information although the system is constructed by extremely low-cost parts such a chip laser pointer, compared to existing methods. Also, the method can be implemented in small-size; thus, it is enough to use in mobile devices such as smartphones.

Rank-Based Nonlinear Normalization of Oligonucleotide Arrays

  • Park, Peter J.;Kohane, Isaac S.;Kim, Ju Han
    • Genomics & Informatics
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    • 제1권2호
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    • pp.94-100
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    • 2003
  • Motivation: Many have observed a nonlinear relationship between the signal intensity and the transcript abundance in microarray data. The first step in analyzing the data is to normalize it properly, and this should include a correction for the nonlinearity. The commonly used linear normalization schemes do not address this problem. Results: Nonlinearity is present in both cDNA and oligonucleotide arrays, but we concentrate on the latter in this paper. Across a set of chips, we identify those genes whose within-chip ranks are relatively constant compared to other genes of similar intensity. For each gene, we compute the sum of the squares of the differences in its within-chip ranks between every pair of chips as our statistic and we select a small fraction of the genes with the minimal changes in ranks at each intensity level. These genes are most likely to be non-differentially expressed and are subsequently used in the normalization procedure. This method is a generalization of the rank-invariant normalization (Li and Wong, 2001), using all available chips rather than two at a time to gather more information, while using the chip that is least likely to be affected by nonlinear effects as the reference chip. The assumption in our method is that there are at least a small number of non­differentially expressed genes across the intensity range. The normalized expression values can be substantially different from the unnormalized values and may result in altered down-stream analysis.

Breakdown Characteristics and Lifetime Estimation of Rubber Insulating Gloves Using Statistical Models

  • Kim, Doo Hyun;Kang, Dong Kyu
    • International Journal of Safety
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    • 제1권1호
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    • pp.36-42
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    • 2002
  • This paper is aimed at predicting the life of rubber insulating gloves under normal operating stresses from relatively rapid test performed at higher stresses. Specimens of rubber insulating gloves are subject to multiple stress conditions, i.e. combined electrical and thermal stresses. Two modes of electrical stress, step voltage stress and constant voltage stress are used in specimen aging. There are two types of test for electrical stress in this experiment: the one is Breakdown Voltage (BDV) test under step voltage stress and thermal stress and the other is lifetime test under constant voltage stress and temperature stress. The ac breakdown voltage defined as the break-down point of insulation that leakage current excesses a limit value, l0mA in this experiment, is determined. Because the very high variability of aging data requires the application of statistical model, Weibull distribution is used to represent the failure times as the straight line on Weibull probability paper. Weibull parameters are deter-mined by three statistical methods i.e. maximum likelihood method, graphical method and least squares method, which employ SAS package, Weibull probability paper and FORTRAN, respectively. Two chosen models for predicting the life under simultaneous electrical and thermal stresses are inverse power model and exponential model. And the constants of life equation for multistress aging are calculated using numerical method, such as Gauss Jordan method etc.. The completion of life equation enables to estimate the life at normal stress based on the data collected from accelerated aging test. Also the comparison of the calculated lifetimes between the inverse power model and the exponential model is carried out. And the lifetimes calculated by three statistical methods with lower voltage than test voltage are compared. The results obtained from the suggested experimental method are presented and discussed.

Image Denoising for Metal MRI Exploiting Sparsity and Low Rank Priors

  • Choi, Sangcheon;Park, Jun-Sik;Kim, Hahnsung;Park, Jaeseok
    • Investigative Magnetic Resonance Imaging
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    • 제20권4호
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    • pp.215-223
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    • 2016
  • Purpose: The management of metal-induced field inhomogeneities is one of the major concerns of distortion-free magnetic resonance images near metallic implants. The recently proposed method called "Slice Encoding for Metal Artifact Correction (SEMAC)" is an effective spin echo pulse sequence of magnetic resonance imaging (MRI) near metallic implants. However, as SEMAC uses the noisy resolved data elements, SEMAC images can have a major problem for improving the signal-to-noise ratio (SNR) without compromising the correction of metal artifacts. To address that issue, this paper presents a novel reconstruction technique for providing an improvement of the SNR in SEMAC images without sacrificing the correction of metal artifacts. Materials and Methods: Low-rank approximation in each coil image is first performed to suppress the noise in the slice direction, because the signal is highly correlated between SEMAC-encoded slices. Secondly, SEMAC images are reconstructed by the best linear unbiased estimator (BLUE), also known as Gauss-Markov or weighted least squares. Noise levels and correlation in the receiver channels are considered for the sake of SNR optimization. To this end, since distorted excitation profiles are sparse, $l_1$ minimization performs well in recovering the sparse distorted excitation profiles and the sparse modeling of our approach offers excellent correction of metal-induced distortions. Results: Three images reconstructed using SEMAC, SEMAC with the conventional two-step noise reduction, and the proposed image denoising for metal MRI exploiting sparsity and low rank approximation algorithm were compared. The proposed algorithm outperformed two methods and produced 119% SNR better than SEMAC and 89% SNR better than SEMAC with the conventional two-step noise reduction. Conclusion: We successfully demonstrated that the proposed, novel algorithm for SEMAC, if compared with conventional de-noising methods, substantially improves SNR and reduces artifacts.

A two-stage Kalman filter for the identification of structural parameters with unknown loads

  • He, Jia;Zhang, Xiaoxiong;Feng, Zhouquan;Chen, Zhengqing;Cao, Zhang
    • Smart Structures and Systems
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    • 제26권6호
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    • pp.693-701
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    • 2020
  • The conventional Kalman Filter (KF) provides a promising way for structural state estimation. However, the physical parameters of structural systems or models should be available for the estimation. Moreover, it is not applicable when the loadings applied to the structures are unknown. To circumvent the aforementioned limitations, a two-stage KF with unknown input approach is proposed for the simultaneous identification of structural parameters and unknown loadings. In stage 1, a modified observation equation is employed. The structural state vector is estimated by KF on the basis of structural parameters identified at the previous time-step. Then, the unknown input is identified by Least Squares Estimation (LSE). In stage 2, based on the concept of sensitivity matrix, the structural parameters are updated at the current time-step by using the estimated structural states obtained from stage 1. The effectiveness of the proposed approach is numerically validated via a five-story shearing model under random and earthquake excitations. Shaking table tests on a five-story structure are also employed to demonstrate the performance of the proposed approach. It is demonstrated from numerical and experimental results that the proposed approach can be used for the identification of parameters of structure and the external force applied to it with acceptable accuracy.

Fracture characterization with high frequency single-hole EM survey

  • Seo, Soon-Jee;Song, Yoon-Ho;Kim, Hee-Joon;Lee, Ki-Ha;Suh, Jung-Hee
    • 대한자원환경지질학회:학술대회논문집
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    • 대한자원환경지질학회 1999년도 춘계 공동학술발표회
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    • pp.90-93
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    • 1999
  • We present a high frequency electromagnetic (EM) inversion scheme for detecting and characterizing a fracture using single-hole data. At high frequencies, say above tens of mega-hertz, since displacement currents cannot be ignored, electrical permittivity as well as electrical conductivity is to be considered together for analyzing the EM scattering data. In this paper, we have developed a three-step inversion scheme to map the fracture and to evaluate its electrical conductivity and permittivity. We performed EM profiling along the z-axis using three-component receivers for each source. The model was excited by a vertical magnetic dipole and the resistant magnetic fields were inverted using the non-linear least-squares method. Background resistivity and permittivity were easily obtained using vertical magnetic fields below 1 MHz and above 10 MHz, respectively. Both the vertical and dipping sheets were successfully mapped using the phase difference between 40 and 41 MHz. The electrical property of the sheet was well resolved using the information obtained in the previous two steps and secondary magnetic fields. Our study shows the potential of imaging the fracture in single-hole survey environment using the high frequency EM method.

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