• Title/Summary/Keyword: 베이지안 분석

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Bayesian analysis of finite mixture model with cluster-specific random effects (군집 특정 변량효과를 포함한 유한 혼합 모형의 베이지안 분석)

  • Lee, Hyejin;Kyung, Minjung
    • The Korean Journal of Applied Statistics
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    • v.30 no.1
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    • pp.57-68
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    • 2017
  • Clustering algorithms attempt to find a partition of a finite set of objects in to a potentially predetermined number of nonempty subsets. Gibbs sampling of a normal mixture of linear mixed regressions with a Dirichlet prior distribution calculates posterior probabilities when the number of clusters was known. Our approach provides simultaneous partitioning and parameter estimation with the computation of classification probabilities. A Monte Carlo study of curve estimation results showed that the model was useful for function estimation. Examples are given to show how these models perform on real data.

A Study on the War Simulation and Prediction Using Bayesian Inference (베이지안 추론을 이용한 전쟁 시뮬레이션과 예측 연구)

  • Lee, Seung-Lyong;Yoo, Byung Joo;Youn, Sangyoun;Bang, Sang-Ho;Jung, Jae-Woong
    • The Journal of the Korea Contents Association
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    • v.21 no.11
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    • pp.77-86
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    • 2021
  • A method of constructing a war simulation based on Bayesian Inference was proposed as a method of constructing heterogeneous historical war data obtained with a time difference into a single model. A method of applying a linear regression model can be considered as a method of predicting future battles by analyzing historical war results. However it is not appropriate for two heterogeneous types of historical data that reflect changes in the battlefield environment due to different times to be suitable as a single linear regression model and violation of the model's assumptions. To resolve these problems a Bayesian inference method was proposed to obtain a post-distribution by assuming the data from the previous era as a non-informative prior distribution and to infer the final posterior distribution by using it as a prior distribution to analyze the data obtained from the next era. Another advantage of the Bayesian inference method is that the results sampled by the Markov Chain Monte Carlo method can be used to infer posterior distribution or posterior predictive distribution reflecting uncertainty. In this way, it has the advantage of not only being able to utilize a variety of information rather than analyzing it with a classical linear regression model, but also continuing to update the model by reflecting additional data obtained in the future.

Ecological Network on Benthic Diatom in Estuary Environment by Bayesian Belief Network Modelling (베이지안 모델을 이용한 하구수생태계 부착돌말류의 생태 네트워크)

  • Kim, Keonhee;Park, Chaehong;Kim, Seung-hee;Won, Doo-Hee;Lee, Kyung-Lak;Jeon, Jiyoung
    • Korean Journal of Ecology and Environment
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    • v.55 no.1
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    • pp.60-75
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    • 2022
  • The Bayesian algorithm model is a model algorithm that calculates probabilities based on input data and is mainly used for complex disasters, water quality management, the ecological structure between living things or living-non-living factors. In this study, we analyzed the main factors affected Korean Estuary Trophic Diatom Index (KETDI) change based on the Bayesian network analysis using the diatom community and physicochemical factors in the domestic estuarine aquatic ecosystem. For Bayesian analysis, estuarine diatom habitat data and estuarine aquatic diatom health (2008~2019) data were used. Data were classified into habitat, physical, chemical, and biological factors. Each data was input to the Bayesian network model (GeNIE model) and performed estuary aquatic network analysis along with the nationwide and each coast. From 2008 to 2019, a total of 625 taxa of diatoms were identified, consisting of 2 orders, 5 suborders, 18 families, 141 genera, 595 species, 29 varieties, and 1 species. Nitzschia inconspicua had the highest cumulative cell density, followed by Nitzschia palea, Pseudostaurosira elliptica and Achnanthidium minutissimum. As a result of analyzing the ecological network of diatom health assessment in the estuary ecosystem using the Bayesian network model, the biological factor was the most sensitive factor influencing the health assessment score was. In contrast, the habitat and physicochemical factors had relatively low sensitivity. The most sensitive taxa of diatoms to the assessment of estuarine aquatic health were Nitzschia inconspicua, N. fonticola, Achnanthes convergens, and Pseudostaurosira elliptica. In addition, the ratio of industrial area and cattle shed near the habitat was sensitively linked to the health assessment. The major taxa sensitive to diatom health evaluation differed according to coast. Bayesian network analysis was useful to identify major variables including diatom taxa affecting aquatic health even in complex ecological structures such as estuary ecosystems. In addition, it is possible to identify the restoration target accurately when restoring the consequently damaged estuary aquatic ecosystem.

A Bayesian zero-inflated Poisson regression model with random effects with application to smoking behavior (랜덤효과를 포함한 영과잉 포아송 회귀모형에 대한 베이지안 추론: 흡연 자료에의 적용)

  • Kim, Yeon Kyoung;Hwang, Beom Seuk
    • The Korean Journal of Applied Statistics
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    • v.31 no.2
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    • pp.287-301
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    • 2018
  • It is common to encounter count data with excess zeros in various research fields such as the social sciences, natural sciences, medical science or engineering. Such count data have been explained mainly by zero-inflated Poisson model and extended models. Zero-inflated count data are also often correlated or clustered, in which random effects should be taken into account in the model. Frequentist approaches have been commonly used to fit such data. However, a Bayesian approach has advantages of prior information, avoidance of asymptotic approximations and practical estimation of the functions of parameters. We consider a Bayesian zero-inflated Poisson regression model with random effects for correlated zero-inflated count data. We conducted simulation studies to check the performance of the proposed model. We also applied the proposed model to smoking behavior data from the Regional Health Survey (2015) of the Korea Centers for disease control and prevention.

Prediction of future drought in Korea using dynamic Bayesian classifier and bivariate drought frequency analysis (동적 베이지안 분류기와 이변량 가뭄빈도분석을 통한 우리나라 미래 가뭄 전망)

  • Hyeok Kim;Min Ji Kim;Tae-Woong Kim
    • Proceedings of the Korea Water Resources Association Conference
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    • 2023.05a
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    • pp.193-193
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    • 2023
  • 여러 기후변화 시나리오에 의하면 기상재해의 발생빈도 및 강도가 증가할 것으로 예상된다. 그중 가뭄은 강수량 부족, 하천유량 감소, 토양 함수량 감소, 용수 수요량 증가 등의 다양한 요인으로 인해 발생하며, 한 가지 형태뿐만 아니라 복합적인 형태로 발생할 수 있다. 또한, 우리나라는 지역마다 기후 특성의 편차가 있어 기후변화에 따른 가뭄 취약성과 대응 능력이 지역마다 다르게 나타난다. 따라서 가뭄에 대응하기 위해서는 다양한 요인을 고려한 통합가뭄지수를 활용해야 하며, 미래의 기후변화를 고려하여 종합적으로 가뭄을 평가해야 한다. 본 연구에서는 동적 베이지안 분류기(DNBC) 기반의 통합가뭄지수를 활용하여 우리나라 전국에 대해 수문학적 위험도를 분석하고 미래 가뭄을 전망하였다. 기상학적, 수문학적, 농업적 및 사회경제적 요인을 고려한 통합가뭄지수를 산정하기 위하여 DNBC 분류기의 인자로 기후변화 시나리오 기반의 기상학적 가뭄지수 SPI, 수문학적 가뭄지수 SDI, 농업적 가뭄지수 ESI와 사회경제적 가뭄지수 WSCI를 활용하였다. 산정된 통합가뭄지수의 시계열을 기반으로 심도와 지속기간을 추출하고, 코플라 함수를 활용한 이변량 가뭄빈도분석을 수행하였다. 이후, 이변량 가뭄빈도분석에 의해 산정된 재현기간을 활용하여 수문학적 위험도를 산정하였다. 그 결과, P1(2021~2040) 기간이 수문학적 위험도 R=0.588로 가장 높은 위험도를 나타냈으며, 이후 P2(2041~2070) 기간까지 감소하였다가 P3(2071~2099) 기간에 다시 증가하는 추세를 보였다. P1(2021~2040) 기간과 P3(2071~2099) 기간은 영산강 유역이 각각 R=0.625(P1), R=0.550(P3)으로 가장 높은 위험도를 나타냈으나, P2(2041~2070) 기간은 금강 유역이 수문학적 위험도 R=0.482로 가장 높게 나타났다. 본 연구결과를 통해 향후 미래 가뭄에 대한 가뭄계획 수립 시에 기초자료로서 활용성이 높을 것으로 기대된다.

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KCYP data analysis using Bayesian multivariate linear model (베이지안 다변량 선형 모형을 이용한 청소년 패널 데이터 분석)

  • Insun, Lee;Keunbaik, Lee
    • The Korean Journal of Applied Statistics
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    • v.35 no.6
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    • pp.703-724
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    • 2022
  • Although longitudinal studies mainly produce multivariate longitudinal data, most of existing statistical models analyze univariate longitudinal data and there is a limitation to explain complex correlations properly. Therefore, this paper describes various methods of modeling the covariance matrix to explain the complex correlations. Among them, modified Cholesky decomposition, modified Cholesky block decomposition, and hypersphere decomposition are reviewed. In this paper, we review these methods and analyze Korean children and youth panel (KCYP) data are analyzed using the Bayesian method. The KCYP data are multivariate longitudinal data that have response variables: School adaptation, academic achievement, and dependence on mobile phones. Assuming that the correlation structure and the innovation standard deviation structure are different, several models are compared. For the most suitable model, all explanatory variables are significant for school adaptation, and academic achievement and only household income appears as insignificant variables when cell phone dependence is a response variable.

A Short-Term Traffic Information Prediction Model Using Bayesian Network (베이지안 네트워크를 이용한 단기 교통정보 예측모델)

  • Yu, Young-Jung;Cho, Mi-Gyung
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.13 no.4
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    • pp.765-773
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    • 2009
  • Currently Telematics traffic information services have been various because we can collect real-time traffic information through Intelligent Transport System. In this paper, we proposed and implemented a short-term traffic information prediction model for giving to guarantee the traffic information with high quality in the near future. A Short-term prediction model is for forecasting traffic flows of each segment in the near future. Our prediction model gives an average speed on the each segment from 5 minutes later to 60 minutes later. We designed a Bayesian network for each segment with some casual nodes which makes an impact to the road situation in the future and found out its joint probability density function on the supposition of GMM(Gaussian Mixture Model) using EM(Expectation Maximization) algorithm with training real-time traffic data. To validate the precision of our prediction model we had conducted various experiments with real-time traffic data and computed RMSE(Root Mean Square Error) between a real speed and its prediction speed. As the result, our model gave 4.5, 4.8, 5.2 as an average value of RMSE about 10, 30, 60 minutes later, respectively.

User Adaptive Restaurant Recommendation Service in Mobile Environment based on Bayesian Network Learning (베이지안 네트워크의 학습에 기반한 모바일 환경에서의 사용자 적응형 음식점 추천 서비스)

  • Kim, Hee-Taek;Cho, Sung-Bae
    • 한국HCI학회:학술대회논문집
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    • 2009.02a
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    • pp.6-10
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    • 2009
  • In these days, recommendation service in mobile environments is in the limelight due to the spread of mobile devices and an increase of information owing to advancement of computer network. The restaurant recommendation system reflecting user preference was proposed. This system uses Bayesian network to model user preference and analytical hierarchical process to recommend restaurants, but static inference model for user preference used in the system has some limitations that cannot manage changing user preference and enormous user survey must be preceded. This paper proposes a learning method for Bayesian network based on user requests. The proposed method is implemented on mobile devices and desktop, and we show the possibility of the proposed method through experiments.

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Bayesian Inferrence and Context-Tree Matching Method for Intelligent Services in a Mobile Environment (모바일 환경에서의 지능형 서비스를 위한 베이지안 추론과 컨텍스트 트리 매칭방법)

  • Kim, Hee-Taek;Min, Jun-Ki;Cho, Sung-Bae
    • Journal of KIISE:Software and Applications
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    • v.36 no.2
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    • pp.144-152
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    • 2009
  • To provide intelligent service in mobile environment, it needs to estimate user's intention or requirement, through analyzing context information of end-users such as preference or behavior patterns. In this paper, we infer context information from uncertain log stored in mobile device. And we propose the inference method of end-user's behavior to match context information with service, and the proposed method is based on context-tree. We adopt bayesian probabilistic method to infer uncertain context information effectively, and the context-tree is constructed to utilize non-numerical context which is hard to handled with mathematical method. And we verify utility of proposed method by appling the method to intelligent phone book service.