• Title/Summary/Keyword: 가우스 혼합분포

Search Result 9, Processing Time 0.035 seconds

A Study on Parameter Estimation of Gauss-Uniform Probability Distribution (가우스-균일 혼합확률분포의 매개변수 추정에 관한 고찰)

  • Choi, Sunglok;Kim, Taemin;Yu, Wonpil
    • Proceedings of the Korea Information Processing Society Conference
    • /
    • 2009.11a
    • /
    • pp.273-274
    • /
    • 2009
  • 본 논문은 완전히 잘못된 데이터가 포함된 회귀(regression) 문제에 사용되는 가우스-균일 혼합확률분포의 두 개의 매개변수 추정에 관하여 고찰한다. 논문에서는 기대값 최대화(Expectation Maximization)와 최우도추정(Maximum Likelihood Estimation)을 이용한 매개변수 추정 방법을 비교한다. 두 기법은 최적화 문제로 기술할 수 있고, 논문에서는 두 기법에서 사용하는 매개변수에 대한 적합도 척도의 개형을 도시하고 비교한다. 몬테-카를로(Monte Carlo) 접근을 통한 두 기법이 추정한 매개변수의 분포를 살펴본다.

Estimation of Probability Distribution Functions for Water Temperature Data in Korean Coasts (한반도 연안 수온자료의 확률분포함수 추정)

  • Jeong, Shin Taek;Cho, Hongyeon;Ko, Dong Hui;Oh, Nam Sun;Son, Kyeong-Pyo
    • Journal of Korean Society of Coastal and Ocean Engineers
    • /
    • v.25 no.1
    • /
    • pp.11-19
    • /
    • 2013
  • As the temperature data show a distribution pattern with a number of peaks, assumption of normal distribution will result in a serious bias in the analysis. In this study, the Gaussian Mixture Distribution (GMD), a type of bimodal distribution, is presumed as a frequency distribution for the water temperature, in order to estimate the optimal parameter and to carry out the relation analysis between the optimal parameter and the basic statistical information such as mean and variance on the data. By the way, an estimation formulae to compute the frequency distribution of the data is developed by computing the parameters of GMD (i.e. ${\alpha}_1$, ${\mu}_1$, ${\sigma}_1$, ${\alpha}_2$, ${\mu}_2$, ${\sigma}_2$) by means of the major characteristic values, such as mean, standard deviation and skewness of the data. The formulae shows an excellent coincidence with the result from the observation data, in the RMS limit accuracy of 5%.

Statistical Characteristics of Hourly Tidal Levels around the Korean Peninsula (한반도 연안 1시간 조위자료의 통계적 특성)

  • Ko, Dong Hui;Jeong, Shin Taek;Cho, Hongyeon
    • Journal of Korean Society of Coastal and Ocean Engineers
    • /
    • v.25 no.6
    • /
    • pp.365-373
    • /
    • 2013
  • Representative tidal gauging (TG) stations are selected to cover the tidal characteristics of the Korean peninsula coastal seas, and the statistical parameters of the data are analysed from the perspective of the probability distribution at that TG station. The shape of the distribution in the Incheon and Gunsan TG stations, which are tide-dominated areas, shows two clear modes at HWONT and LWONT in the distributions, and in the Mokpo station, shows an asymmetric double peak distribution. In contrast, the frequency distribution shape shows a smoothed flat peak in the Jeju, Yeosu and Busan TG stations, and a single peak in the Pohang and Sokcho TG stations. The emersion and submersion equations suggested as the 6-parameter Gaussian mixture models in this study are accurate, and well fitted to the observed tidal elevation data. The ${\mu}_1$, ${\mu}_2$ parameters are highly correlated to the LWONT and HWONT, and the ${\sigma}_1$ and ${\sigma}_2$ parameters are also closely correlated to the mean tidal range. The ${\mu}_1$ and ${\mu}_2$ parameters coincide with the modes of the suggested probability distribution of the hourly tidal level data.

Estimate Minimum Amount of Methane for Explosion in a Confined Space (밀폐공간에서 메탄 폭발사고의 최소 가스누출량 예측)

  • Jo, Young-Do
    • Journal of the Korean Institute of Gas
    • /
    • v.21 no.4
    • /
    • pp.1-5
    • /
    • 2017
  • Leaking of natural gas, which is mostly methane, in a confined living space creates flammable atmosphere and gives rise to explosion accident. The minimum amount of leaked methane for explosion is highly dependent on the degree of mixing in the confined space. This paper proposes a method for estimating minimum amount of flammable gas for explosion by using Gaussian distribution explosion model(GDEM) and experimental explosion data. The explosion pressure in the confined space can be estimated by assuming the Gaussian distribution of flammable gas along the height of an enclosure and estimating the maximum amount of gas within flammable limits, combustion of the estimated gas with constant volume and adiabatic or isothermal mixing in the confined space. The predicted minimum gas amount for an explosion is tied to explosion pressure that results in a given building damage level. The result shows that very small amount of methane leaking in the confined space may results in a serious gas explosion accident. This result could be applied not only to setting the leak criteria for developing a gas safety appliance but also to accident investigating of explosion.

Comparison of Analysis Performance by Independent Component Analysis to Additive Noise Signals (독립성분분석법에 의한 잡음첨가신호의 분석성능비교)

  • 박용수;조용현
    • Proceedings of the Korean Institute of Intelligent Systems Conference
    • /
    • 2004.10a
    • /
    • pp.293-296
    • /
    • 2004
  • 본 논문에서는 잡음이 첨가된 선형적으로 혼합된 신호들을 대상으로 뉴우턴법과 할선법의 고정점 알고리즘 각각을 적용할 때 그 분리성능을 비교 검토하였다. 여기서 뉴우턴법은 기울기 변화에 따른 속성을 이용하며, 할선법은 접선의 변화를 이용하는 속성을 가진다. 실험에 이용된 신호는 512$\times$512 픽셀의 2개 2차원 영상이며, 가우스 분포와 라플라시안 분포의 잡음을 이용하였다. 실험 결과, 할선법의 알고리즘이 뉴우턴법보다 잡음에 강인한 특성을 가짐을 알 수 있었다. 한편, 잡음이 첨가되지 않은 경우보다 가우시안 잡음 및 라프라시안 잡음을 첨가한 경우, 절대합 오차값에서 각각 약 23% 및 약 9.7%정도 원영상과의 오차를 보였다.

  • PDF

Image Histogram Equalization Based on Gaussian Mixture Model (가우시안 혼합 모델 기반의 영상 히스토그램 평활화)

  • Jun, Mi-Jin;Lee, Joon-Jae
    • Journal of Korea Multimedia Society
    • /
    • v.15 no.6
    • /
    • pp.748-760
    • /
    • 2012
  • In case brightness distribution is concentrated in a region, it is difficult to classify the image features. To solve this problem, we apply global histogram equalization and local histogram equalization to images. In case of global histogram equalization, it can be too bright or dark because it doesn't consider the density of brightness distribution. Thus, it is difficult to enhance the local contrast in the images. In case of local histogram equalization, it can produce unexpected blocks in the images. In order to enhance the contrast in the images, this paper proposes a local histogram equalization based on the Gaussian Mixture Models(GMMs) in regions of histogram. Mean and variance parameters in each regions is updated EM-algorithm repeatedly and then ranges of equalization on each regions. The experimental results performed with image of various contrasts show that the proposed algorithm is better than the global histogram equalization.

Mixed Mode Analysis using Two-step Extension Based VCCT in an Inclined Center Crack Repaired by Composite Patching (복합재료 팻칭에 의한 중앙경사균열에서 2단계 확장 가상균열닫힘법을 사용한 혼합모우드해석)

  • Ahn, Jae-Seok;Woo, Kwang-Sung
    • KSCE Journal of Civil and Environmental Engineering Research
    • /
    • v.32 no.1A
    • /
    • pp.11-18
    • /
    • 2012
  • This paper deals with the numerical determination of the stress intensity factors of cracked aluminum plates under the mixed mode of $K_I$ and $K_{II}$ in glass-epoxy fiber reinforced composites. For the stress intensity factors, two different models are reviewed such as VCCT and two-step extension method. The p-convergent partial layerwise model is adopted to determine the fracture parameters in terms of energy release rates and stress intensity factors. The p-convergent approach is based on the concept of subparametric element. In assumed displacement field, strain-displacement relations and 3-D constitutive equations of a layer are obtained by combination of 2-D and 1-D higher-order shape functions. In the elements, Lobatto shape functions and Gauss-Lobatto technique are employed to interpolate displacement fields and to implement numerical quadrature. Using the models and techniques considered, effects of composite laminate configuration according to inclined angles and adhesive properties on the performance of bonded composite patch are investigated. In addition to these, the out-of-plane bending effect has been investigated across the thickness of patch repaired laminate plates due to the change of neutral axis. The present model provides accuracy and simplicity in terms of stress intensity factors, stress distribution, number of degrees of freedom, and energy release rates as compared with previous works in literatures.

A Study on the Diversity Reception Performance of Spread Spectrum Signals in Interference and Fading Environments (간섭과 페이딩환경에서 스펙트럼 확산(SS) 통신 신호의 다이버시티 수신 특성에 관한 연구)

  • 강희조;이권현;조성준
    • The Journal of Korean Institute of Communications and Information Sciences
    • /
    • v.19 no.5
    • /
    • pp.901-911
    • /
    • 1994
  • The error performance of M-ary differential phase shift keying (MDPSK) through m-distribution fading channel in hybrid direct sequence/slow frequency hopped spread spectrum multiple access (DS/SFH-SSMA) systems has been evaluated, and also the error probability has been evaluate when adopting diversity technique and coding technique. From the results, we know that the error performance more deteriorates as depth of fading becomes deeper. In Rayleigh fading environment (m=1), increasing of the number of frequency hopping (q) reduces the effect of multiple access interference, because it decreases the probability a hit. When q is much larger than the number of user (K), the probability of error in high E/N region is dominated by the multipath interference while the multiple access interference is negligible. In lower E/N region, the probability of error is independent of q because the effect of gaussian noise becomes dominat.

  • PDF

Dynamics of the River Plume (하천수 플룸 퍼짐의 동력학적 연구)

  • Yu, Hong-Sun;Lee, Jun;Shin, Jang-Ryong
    • Journal of Korean Society of Coastal and Ocean Engineers
    • /
    • v.6 no.4
    • /
    • pp.413-420
    • /
    • 1994
  • Dynamics of the river plume is a very complicated non-linear problem with the free boundary changing in time and space. Mixing with the ambient water through the boundary makes the problem more complicated. In this paper we reduced 3-dimensional problem into 1-dimensional one by using the integral analysis method. Basic equations have been integrated over the lateral and vertical variations. For these integrations we adopted the well-established assumption that the flow-axis component of plume velocity and the density difference of the plume with the ambient water have Gaussian distributions in directions which are perpendicular to the flow-axis of the plume. We also used the result of our previous study on the lateral spreading velocity of the plume derived under the same assumption. And entrainment was included as a mixing process. The resultant 1-dimensional equations were solved by Runge-Kutta numerical method. Consequently, comparatively easy method of numerical analysis is presented for the 3-dimensional river plume. The method can also be used for the analysis of the thermal plume of cooling water of power plants.

  • PDF