• Title/Summary/Keyword: sum of the square error

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Nonlinear elements position detecting by error matrix method (오차행렬에 의한 비선형 요소 위치 파악에 관한 연구)

  • 변언섭;이상설;박윤식
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.14 no.5
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    • pp.1104-1111
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    • 1990
  • A method to identify nonlinear elements position of a nonlinear system is presented. Nonlinear elements position can be identified by an equivalent error damping and stiffness matrices which are based on the equivalent linearization technique. The procedures of this technique are: (1) Obtain input force and system response. (2) Define error between the actual and linearized restoring forces. (3) Calculate linearized damping and stiffness coefficients to minimize the square error sum. Several examples are tested and found that these methods are very effective not only to locate the nonlinear elements position but also to identify the degree of nonlinearity qualitatively. Nonlinear type can be qualitatively identified by examining the plots of restoring force vs equivalent state values.

A Study on Delivery Accuracy Using the Correlation between Errors (오차간의 상관관계를 이용하는 체계명중률 예측에 관한 연구)

  • Kim, Hyun Soo;Kim, Gunin;Kang, Hwan Il
    • The Journal of the Convergence on Culture Technology
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    • v.4 no.3
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    • pp.299-303
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    • 2018
  • Generally, when predicting the accuracy of the anti-air artillery system, the error is classified as fixed bias, variable bias, and random error. Then the standard deviation on the target is expressed as the square root of the squared sum of each error value which comes from the random error and variable bias and in the case of fixed bias, the mean value is shifted as the sum of errors from the fixed bias. At this time, the variables indicating the displacement of the direction of azimuth and elevation direction with regard to the change of the unit value of each error are weighted. These errors are then used to predict the system's delivery accuracy through a normally distributed integral. This paper presents a method of predicting system accuracy by considering the correlation of errors. This approach shows that it helps to predict the delivery accuracy of the system, precisely.

Impmvement of Inverse Fitting Algorinlm of Visible Reflectance Spectrum to Extract Skin Parameters (피부의 특성 추출을 위한 가시광선 반사 스펙트럼의 역 추적 최적화 알고리즘 개선)

  • Choi, Seung-Ho;Im, Chang-Hwan;Jung, Byung-Jo
    • Korean Journal of Optics and Photonics
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    • v.18 no.3
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    • pp.179-184
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    • 2007
  • In order to extract more accurate skin parameters, this study was focused on the improvement of the efficiency of a previous inverse fitting algorithm based on genetic algorithms. The algorithm provides the best fitting result of the diffusion approximation model to a VRS (visual reflectance spectroscopy) curve of skin. Simplex and wavelength selection methods were applied to the previous algorithm. Nine skin parameters were inversely extracted from the modeling studies. The revised inverse fitting algorithm was determined to produce an 83% reduction of computation time and a 0.64% reduction of sum of square error, compared to the previous algorithm. In conclusion, we confirmed that the new algorithm provides faster and more accurate solutions for the diffusion approximation model.

Estimation of the WGR Multi-dimensional Precipitation Model Parameters using the Genetic Algorithm (유전자 알고리즘을 이용한 WGR 다차원 강우모형의 매개변수 추정)

  • Jeong, Gwang-Sik;Yu, Cheol-Sang;Kim, Jung-Hun
    • Journal of Korea Water Resources Association
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    • v.34 no.5
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    • pp.473-486
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    • 2001
  • The WGR model was developed to represent meso-scale precipitation. As a conceptual model, this model shows a good link between atmospheric dynamics and statistical description of meso-scale precipitation(Waymire et al., 1984). However, as it has maximum 18 parameters along with its non-linear structure, its parameter estimation has been remained a difficult problem. There have been several cases of its parameter estimation for different fields using non-linear programming techniques(NLP), which were also difficult tasks to hamper its wide applications. In this study, we estimated the WGR model parameters of the Han river basin using the genetic algorithm(GA) and compared them to the NLP results(Yoo and Kwon, 2000). As a result of the study, we can find that the sum of square error from the GA provide more consistent parameters to the seasonal variation of rainfall. Also, we can find that the higher rainfall amount during summer season is closely related with the arrival rate of rain bands, not the rain cell intensity.

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A Feasibility Study on Opportunistic Interference Alignment: Improved Energy Efficiency via Power Control (기회적 간섭 정렬의 실현 가능성 연구: 전력 제어를 통한 에너지 효율성 개선)

  • Shin, Won-Yong;Yoon, Jangho
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.19 no.5
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    • pp.1077-1083
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    • 2015
  • In this paper, we introduce an energy-efficient opportunistic interference alignment (OIA) scheme that greatly improves the sum-rates in multi-cell uplink networks. Each user employs optimal transmit vector design and power control in the sense of minimizing the amount of generated interference to other-cell base stations while satisfying a required signal quality. As our main result, it is shown that owing to the reduced interference level, the proposed OIA schemes attains larger sum-rates than those of OIA with no power control for almost all signal-to-noise ratio regions. In addition, when both zero-forcing and minimum mean square error (MMSE) detectors are employed at the receiver along with the OIA scheme, it is shown that the OIA scheme with MMSE detection shows superior performance.

Accuracy Comparisons between Traditional Adjustment and Least Square Method (최소제곱법을 적용한 지적도근점측량 계산의 정확도 분석)

  • Lee, Jong-Min;Jung, Wan-Suk;Lee, Sa-Hyung
    • Journal of Cadastre & Land InformatiX
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    • v.45 no.2
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    • pp.117-130
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    • 2015
  • A least squares method for adjusting the horizontal network satisfies the conditions which is minimizing the sum of the squares of errors based on probability theory. This research compared accuracy of 3rd cadastral control points adjusted by traditional and least square method with respect to the result of Network-RTK. Test results showed the least square method more evenly distribute closure error than traditional method. Mean errors of least square and traditional adjusting method are 2.7cm, 2.2cm respectively. In addition, blunder in angle observations can be detected by comparing position errors which calculated by forward and backward initial coordinates. However, distance blunder cannot offer specific observation line occurred mistake because distance error propagates several observation lines which have similar directions.

Disinfection Models to Predict Inactivation of Artemia sp. via Physicochemical Treatment Processes (물리·화학적 처리공정을 이용한 Artemia sp. 불활성화 예측을 위한 소독 모델)

  • Zheng, Chang;Kim, Dong-Seog;Park, Young-Seek
    • Journal of Environmental Science International
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    • v.26 no.4
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    • pp.421-432
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    • 2017
  • In this study, we examined the suitability of ten disinfection models for predicting the inactivation of Artemia sp. via single or combined physical and chemical treatments. The effect of Hydraulic Retention Time (HRT) on the inactivation of Artemia sp. was examined experimentally. Disinfection models were fitted to the experimental data by using the GInaFiT plug-in for Microsoft Excel. The inactivation model were evaluated on the basis of RMSE (Root Mean Square Error), SSE (mean Sum Square Error) and $r^2$. An inactivation model with the lowest RMSE, SSE and $r^2$ close to 1 was considered the best. The Weibull+Tail model was found to be the most appropriate for predicting the inactivation of Artemia sp. via electrolytic treatment and electrolytic-ultrasonic combined treatment. The Log-linear+Tail model was the most appropriate for modeling inactivation via homogenization and combined electrolytic-homogenization treatment. The double Weibull disinfection model was the most suitable for the predicting inactivation via ultrasonic treatment.

Basal Area-Stump Diameter Models for Tectona grandis Linn. F. Stands in Omo Forest Reserve, Nigeria

  • Chukwu, Onyekachi;Osho, Johnson S.A.
    • Journal of Forest and Environmental Science
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    • v.34 no.2
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    • pp.119-125
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    • 2018
  • The tropical forests in developing countries are faced with the problem of illegal exploitation of trees. However, dearth of empirical means of expressing the dimensions, structure, quality and quantity of a removed tree has imped conviction of offenders. This study aimed at developing a model that can effectively estimate individual tree basal area (BA) from stump diameter (Ds) for Tectona grandis stands in Omo Forest Reserve, Nigeria, for timber valuation in case of illegal felling. Thirty-six $25m{\times}25m$ temporary sample plots (TSPs) were laid randomly in six age strata; 26, 23, 22, 16, 14, and 12 years specifically. BA, Ds and diameter at breast height were measured in all living T. grandis trees within the 36 TSPs. Least square method was used to convert the counted stumps into harvested stem cross-sectional areas. Six basal area models were fitted and evaluated. The BA-Ds relationship was best described by power model which gave least values of Root mean square error (0.0048), prediction error sum of squares (0.0325) and Akaike information criterion (-15391) with a high adjusted coefficient of determination (0.921). This study revealed that basal area estimation was realistic even when the only information available was stump diameter. The power model was validated using independent data obtained from additional plots and was found to be appropriate for estimating the basal area of Tectona grandis stands in Omo Forest Reserve, Nigeria.

Superimposed Pilot Aided Multiuser Channel Estimation for MIMO-OFDM Uplinks

  • Yang, Qinghai;Kwak, Kyung-Sup
    • ETRI Journal
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    • v.28 no.5
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    • pp.688-691
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    • 2006
  • This letter addresses the superimposed pilot aided multiuser channel estimation for the uplinks of multi-input multi-output orthogonal frequency-division multiplexing systems. To mitigate the embedded-data effects on the performance of channel estimation, a novel combining algorithm is proposed. Optimal pilot symbols are developed with respect to the least square channel estimate's mean square error. The averaged sum-capacity lower bound is derived and simulated. Simulation results show that on a low signal-to-noise ratio regime, our proposed scheme achieves better performance and higher capacity than the conventional pilot aided approach.

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Comparison of Active Sonar Systems in Target Positioning Performance (능동 소나망의 표적 탐지 성능 비교)

  • 박치현;홍우영;고한석
    • Proceedings of the Korean Institute of Information and Commucation Sciences Conference
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    • 2002.05a
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    • pp.159-162
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    • 2002
  • This paper deals with target positioning performance according to active sonar formation and measurement error. Generally, active sonar can be categorized into Monostatic, Bistatic and Multistatic cases and their error characteristics are different each other. In this paper, on the assumption that each receiver has two kinds of measurements; sum of distances, and a angle between receiver and target, we suggest least square(LS) method that combines the two measurements in Multistatic formation, and compare Multistatic case with Monostatic and Bistatic cases. Experimental results show that target positioning RMSE in Multistatic sonar is superior to those in Monostatic and Bistatic sonar by approximately 57%.

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