• 한국정보통신학회논문지
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• 제16권7호
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• pp.1391-1396
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• 2012

본 연구에서는 해저의 반사면이나 흡음재와 같이 주파수에 따라 다른 특성을 가지는 매체를 수치적으로 모델링하였다. 기존의 흡음재 해석 등가회로 모델에 용량성 성분을 부가하기 위해 Debye polarization 기법을 적용하여 흡음재의 모델링을 하였다. 이 모델의 파라미터를 추정하기 위해 폴리우레탄이라는 흡음재의 흡음 주파수 특성을 이용하였다. 파라미터의 추정에는 non-linear least squares라는 비선형 최적화 기법을 사용하였다. 먼저 두께 25 mm의 폴리우레탄의 흡음재의 파라미터를 추정하였으며, 이 파라미터를 이용해 50 mm의 폴리우레탄의 특성을 모델링하는 것이 가능하였다. 이를 바탕으로 흡음재의 주파수에 따른 흡음 특성을 하나의 간단한 모델로 모델링하는 것이 가능함을 보였다.

• Management Science and Financial Engineering
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• 제14권2호
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• pp.89-104
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• 2008

Growth curves including Bass, Logistic and Gompertz functions are widely used in forecasting the market demand. Nonlinear least square method is often adopted for estimating the model parameters but it is difficult to set up the starting value for each parameter. If a wrong starting point is selected, the result may lead to erroneous forecasts. This paper proposes a method of selecting starting values for model parameters in estimating some growth curves by nonlinear least square method through grid search and transformation into linear regression model. Resealing the market data using the national economic index makes it possible to figure out the range of parameters and to utilize the grid search method. Application to some real data is also included, where the performance of our method is demonstrated.

• 환경위생공학
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• 제23권4호
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• pp.83-93
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• 2008

The non-linear least squares model(NLSM) has long been the standard technique used by hydrologists for constructing rating curves. The reasons for its adaptation are vague, and its appropriateness as a method of describing discharge measurement uncertainty has not been well investigated. It is shown in this paper that the classical method of NLSM can model only a very limited class of variance heterogeneity. Furthermore, this lack of flexibility often leads to unaccounted heteroscedasticity, resulting in dubious values for the rating curve parameters and estimated discharge. By introducing a heteroscedastic maximum likelihood model(HMLM), the variance heterogeneity is treated more generally. The maximum likelihood model stabilises the variance better than the NLSM approach, and thus is a more robust and appropriate way to fit a rating curve to a set of discharge measurements.

• 한국항공우주학회지
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• 제39권4호
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• pp.321-331
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• 2011

본 연구는 theta 투영법을 이용하여 터보제트 터빈 블레이드 크리프 특성을 파악하는데 목적이 있다. Theta 투영법은 우수한 정확성을 지니고 있어 폭넓게 사용되고 있다. 크리프 특성을 파악하기 위해 고온 크리프 시험을 수행하였으며, 시험 조건은 터보제트 엔진 운용조건과 소재의 비선형 특성을 고려하여 선정하였으며, four theta 모델의 적합성을 평가하기 위해 크리프 시험 결과와 비교하였다. 크리프 시험결과를 활용하여 크리프 곡선은 four theta model을 이용하여 생성하였다. 반복적인 계산을 통하여 비선형 최소자승법을 이용하여 시험 결과에 대해 최적의 theta 값을 도출하였다. Theta 투영법을 이용하여 크리프 곡선을 생성한 결과 $R^2$값이 0.95이상의 우수한 정확성을 지니는 것을 확인하였다. 또한 four theta 모델의 검정을 위해 수행한 시험 결과와 비교하여 예측된 theta 값이 90.0%의 정확도를 가지어, theta 투영법은 크리프 거동을 예측하여 설계목적에 이용하기 위해 유용하게 사용될 수 있다.

• Journal of applied mathematics & informatics
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• 제6권3호
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• pp.757-770
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• 1999

We analyse in this paper the possibility of using preconditioning techniques as for square non-singular systems, also in the case of inconsistent least-squares problems. We find conditions in which the minimal norm solution of the preconditioned least-wquares problem equals that of the original prblem. We also find conditions such that thd Kaczmarz-Extendid algorithm with relaxation parameters (analysed by the author in [4]), cna be adapted to the preconditioned least-squares problem. In the last section of the paper we present numerical experiments, with two variants of preconditioning, applied to an inconsistent linear least-squares model probelm.

• International Journal of Fuzzy Logic and Intelligent Systems
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• 제6권2호
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• pp.138-143
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• 2006

In this paper, we have presented a Sequential Agglomerative Hierarchical Nested (SAHN) algorithm-based data clustering method in fuzzy inference system to achieve optimal performance of fuzzy model. SAHN-based algorithm is used to give possible range of number of clusters with cluster centers for the system identification. The axes of membership functions of this fuzzy model are optimized by using cluster centers obtained from clustering method and the consequence parameters of the fuzzy model are identified by standard least square method. Finally, in this paper, we have observed our model's output performance using the Box and Jenkins's gas furnace data and Sugeno's non-linear process data.

• The Journal of Asian Finance, Economics and Business
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• 제8권1호
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• pp.71-79
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• 2021

This study investigates the capital structure policy among Indonesian public companies. Previous studies suggest that capital structure policy could follow either static or dynamic behavior. The sample data used in this study was companies in the manufacturing sector, divided into three sub-sectors: the basic and chemical industry, miscellaneous industry, and the consumer goods industry. This study uses panel data from 2010 to 2018, with the Generalized Least Square (GLS) method and compared whether the fixed effect model is better than the common effect model. The results show that the dynamic and non-linear model tests can explain the capital structure determinants than the static and linear models. The dynamic model shows that the capital structure of a certain year is influenced by the capital structure of the previous year. The findings indicate that the company performs some adjustments in its capital structure policy by referring to the previous debt ratio, which implies support to the trade-off theory (TOT). The study also shows that profitability, tangible assets, size, and age explain the variation of capital structure policy. The patterns on the dynamic and non-linear confirm that capital structure runs in a nonlinear pattern, based on the sector, company condition, and the dynamic environment.

• 소음진동
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• 제9권5호
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• pp.891-898
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• 1999

The purpose of Superconducting Magnetic Bearing Flywheel Energy Storage System (SMB-FESS) is to store unused nighttime electricity until it is needed during daytime. An analytical model of the SMB-FESS is necessary to identify the system behavior. At first, we have to model the superconducting magnetic bearing. Modeling the SMB is same as estimating the bearing parameter. The theoretical modal parameter is calculated through the equation of motion and the experimental modal parameter is estimated through the impact testing (modal testing). The bearing parameter is searched by using the non-linear least square method until the theoretical result corresponds to the experimental result. The suggested modeling method is verified by comparing experimental and analytical frequency response function.

• 소음진동
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• 제10권5호
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• pp.886-891
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• 2000

In this paper, an iterative array shape estimation technique is presented, which is based on the use of the least squares polynomial fitting to the data from heading sensors. The estimated polynomial shape model is then used for calculating the hydrophone positions on the assumption that the arc distances between sensors are constant. In order to verify the applicability of the proposed algorithm, numerical simulations are performed using two types of non-linear array shapes. In addition the noise effects of heading sensors on the array shape estimation results and the performance of beamformer are also investigated.

• Asian-Australasian Journal of Animal Sciences
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• 제9권4호
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• pp.439-447
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• 1996

Monthly test day production for 12,020 records, were collected from six of the largest specialized dairy farms located in central region of the Kingdom of Saudi Arabia. The records described lactating cows in four parities and two seasons of calving. Monthly test day records were fitted using Wood's model $At{{^b}{_e}}^{-ct}$ with multiple and additive error term. Linear and non-linear regression models were used to find the estimates of the parameters necessary to draw the lactation curves. The shape of the lactation curves of different parities showed that third lactation has the heighest peak (43.08 kg) for linear regression model and (42.08 kg) for non-linear regression model. Fourth lactation has the lowest peak (24.00kg) for linear regression model and (25.64 kg) for non-linear regression models. Cows of second and third lactations reached the peak at 58 day for both linear and non-linear regression models. Cows of first lactation were more persistent and had late peak at 68 and 67 days for both models respectively. While, third lactation cows were lower persistent and had early peak at 58 day for both models. Cows calved at winter months have higher starting values (A), higher ascending slope (b) and higher decending slope (c). Least square means of milk yield of the first four parities and for overall data were 6,653, 7,659, 7,482, 6,988 and 7,614 kg respectively. The corresponding lactation period were 358, 367, 350, 363 and 364 days respectively.