• Title/Summary/Keyword: Hierarchical Bayesian

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A Soccer Video Analysis Using Product Hierarchical Hidden Markov Model (PHHMM(Product Hierarchical Hidden Markov Model)을 이용한 축구 비디오 분석)

  • Kim, Moo-Sung;Kang, Hang-Bong
    • Proceedings of the IEEK Conference
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    • 2006.06a
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    • pp.681-682
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    • 2006
  • 일반적으로 축구 비디오 데이터는 멀티모달과 멀티레이어 속성을 지닌다. 이러한 데이터를 다루기 적합한 모델은 동적 베이지안 네트워크(Dynamic Bayesian Network: DBN) 형태의 위계적 은닉 마르코프 모델(Hierarchical Hidden Markov Model: HHMM)이다. 이러한 HHMM 중 다중속성의 특징들이 서로 상호작용하는 PHHMM(Product Hierarchical Hidden Markov Model)이 있다. 본 논문에서는 PHHMM 을 축구 경기의 Play/Break 이벤트 검색 및 분석에 적용하였고 바람직한 결과를 얻었다.

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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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Event date model: a robust Bayesian tool for chronology building

  • Philippe, Lanos;Anne, Philippe
    • Communications for Statistical Applications and Methods
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    • v.25 no.2
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    • pp.131-157
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    • 2018
  • We propose a robust event date model to estimate the date of a target event by a combination of individual dates obtained from archaeological artifacts assumed to be contemporaneous. These dates are affected by errors of different types: laboratory and calibration curve errors, irreducible errors related to contaminations, and taphonomic disturbances, hence the possible presence of outliers. Modeling based on a hierarchical Bayesian statistical approach provides a simple way to automatically penalize outlying data without having to remove them from the dataset. Prior information on individual irreducible errors is introduced using a uniform shrinkage density with minimal assumptions about Bayesian parameters. We show that the event date model is more robust than models implemented in BCal or OxCal, although it generally yields less precise credibility intervals. The model is extended in the case of stratigraphic sequences that involve several events with temporal order constraints (relative dating), or with duration, hiatus constraints. Calculations are based on Markov chain Monte Carlo (MCMC) numerical techniques and can be performed using ChronoModel software which is freeware, open source and cross-platform. Features of the software are presented in Vibet et al. (ChronoModel v1.5 user's manual, 2016). We finally compare our prior on event dates implemented in the ChronoModel with the prior in BCal and OxCal which involves supplementary parameters defined as boundaries to phases or sequences.

Robust Bayesian meta analysis (로버스트 베이지안 메타분석)

  • Choi, Seong-Mi;Kim, Dal-Ho;Shin, Im-Hee;Kim, Ho-Gak;Kim, Sang-Gyung
    • Journal of the Korean Data and Information Science Society
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    • v.22 no.3
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    • pp.459-466
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    • 2011
  • This article addresses robust Bayesian modeling for meta analysis which derives general conclusion by combining independently performed individual studies. Specifically, we propose hierarchical Bayesian models with unknown variances for meta analysis under priors which are scale mixtures of normal, and thus have tail heavier than that of the normal. For the numerical analysis, we use the Gibbs sampler for calculating Bayesian estimators and illustrate the proposed methods using actual data.

A Study on Rainfall Regional Frequency Analysis Based A Bayesian Hierarchical Kriging Approach (Bayesian Hierarchical Kriging 기법을 이용한 강우지역빈도해석 모형 개발)

  • Kim, Jin-Young;Kim, Jang-Gyeong;Kwon, Hyun-Han
    • Proceedings of the Korea Water Resources Association Conference
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    • 2015.05a
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    • pp.466-466
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    • 2015
  • 지역빈도해석은 수문학에서 오랜 역사를 갖고 있으며, 수년에 걸쳐 수문학적 변량의 정량적 추정을 위해 다양한 접근방법들이 제안되어 왔다. 그러나 제안된 방법들의 가설설정 수준이 높기 때문에 실제 적용에 제약이 많고, 적용 시에도 예측에 대한 불확실성이 높은 문제점이 있다. 본 연구에서는 이러한 문제점을 개선하기 위한 방법으로 계층적 베이지안 모델을 이용한 지역빈도해석 모형을 제안하고자 한다. 본 모형은 2개의 계층적 구조로 구성된다. 첫번째 계층은 재현기간별 GEV 분포의 매개변수를 정규화하여 주변분포로 설정하고, Kriging 기법을 이용하여 지형학적, 기상학적 정보들과 극치강수량 효과를 적합시켜 공간적 이질성과 미계측 유역에 대한 효과적인 보간을 가능하게 한다. 두번째 계층은 지점의 특성을 나타내는 매개변수들간의 공분산을 Bayesian 모델에 연계하여 매개변수들의 공간적 변동성을 나타낸다. 2개 계층의 결합확률분포는 MCMC 기법을 이용하여 예측값에 대한 불확실성을 정량적으로 분석하게 된다. 본 모형을 통해 홍수량 추정 시 필요한 시간 단위 극치강수량의 공간적 분포를 효과적으로 추정할 수 있을 것으로 판단된다.

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Hierarchical Bayes Estimation of Parameter and Reliability Function in Doubly Censored Exponential Distribution (양쪽중단된 지수분포의 모수와 신뢰도에 대한 계층적 베이즈추정)

  • 조장식;강상길
    • The Korean Journal of Applied Statistics
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    • v.12 no.2
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    • pp.405-414
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    • 1999
  • 양쪽중단(doubly censored)된 지수분포에서 모수와 신뢰도함수를 계층적 베이지안(hierarchical Bayesian)방법을 이용하여 추정하였다. 베이즈 계산은 깁스표본기법(Gibbs sampler)을 이용하고 또한 완전조건부 분포(full conditional distribution)의 정량화 상수를 모르는 경우에는 적합기각방법(adaptive rejection sampling)을 이용하였다. 그리고 실제자료를 이용하여 분석을 하였다.

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Sampling Based Approach to Hierarchical Bayesian Estimation of Reliability Function

  • Younshik Chung
    • Communications for Statistical Applications and Methods
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    • v.2 no.2
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    • pp.43-51
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    • 1995
  • For the stress-strengh function, hierarchical Bayes estimations considered under squared error loss and entropy loss. In particular, the desired marginal postrior densities ate obtained via Gibbs sampler, an iterative Monte Carlo method, and Normal approximation (by Delta method). A simulation is presented.

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Development of salinity simulation using a hierarchical bayesian ARX model (계층적 베이지안 ARX 모형을 활용한 염분모의기법 개발)

  • Kim, Hojun;Shin, Choong Hun;Kim, Tae-Woong;Kwon, Hyun-Han
    • Journal of Korea Water Resources Association
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    • v.53 no.7
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    • pp.481-491
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    • 2020
  • The development of agricultural land at Saemangeum has required a significant increase in agricultural water use. It has been well acknowledged that salinity plays a critical role in the farming system. Therefore, a systematic study in salinity is necessary to better manage agricultural water. This study aims to develop a stochastic salinity simulation model that simultaneously simulates salinities obtained from different layers. More specifically, this study proposed a two-stage Autoregressive Exgeneous (ARX) model within a hierarchical Bayesian modeling framework. We derived posterior distributions of model parameters and further used them to obtain the predictive posterior distribution for salinities at three different layers. Here, the BIC values are used and compared to determine the optimal model from a set of candidate models. A detailed discussion of the model is provided.

Bayesian Spatial Modeling of Precipitation Data

  • Heo, Tae-Young;Park, Man-Sik
    • The Korean Journal of Applied Statistics
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    • v.22 no.2
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    • pp.425-433
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    • 2009
  • Spatial models suitable for describing the evolving random fields in climate and environmental systems have been developed by many researchers. In general, rainfall in South Korea is highly variable in intensity and amount across space. This study characterizes the monthly and regional variation of rainfall fields using the spatial modeling. The main objective of this research is spatial prediction with the Bayesian hierarchical modeling (kriging) in order to further our understanding of water resources over space. We use the Bayesian approach in order to estimate the parameters and produce more reliable prediction. The Bayesian kriging also provides a promising solution for analyzing and predicting rainfall data.