• Title/Summary/Keyword: Bayesian Theorem

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Boundary-adaptive Despeckling : Simulation Study

  • Lee, Sang-Hoon
    • Korean Journal of Remote Sensing
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    • v.25 no.3
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    • pp.295-309
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    • 2009
  • In this study, an iterative maximum a posteriori (MAP) approach using a Bayesian model of Markovrandom field (MRF) was proposed for despeckling images that contains speckle. Image process is assumed to combine the random fields associated with the observed intensity process and the image texture process respectively. The objective measure for determining the optimal restoration of this "double compound stochastic" image process is based on Bayes' theorem, and the MAP estimation employs the Point-Jacobian iteration to obtain the optimal solution. In the proposed algorithm, MRF is used to quantify the spatial interaction probabilistically, that is, to provide a type of prior information on the image texture and the neighbor window of any size is defined for contextual information on a local region. However, the window of a certain size would result in using wrong information for the estimation from adjacent regions with different characteristics at the pixels close to or on boundary. To overcome this problem, the new method is designed to use less information from more distant neighbors as the pixel is closer to boundary. It can reduce the possibility to involve the pixel values of adjacent region with different characteristics. The proximity to boundary is estimated using a non-uniformity measurement based on standard deviation of local region. The new scheme has been extensively evaluated using simulation data, and the experimental results show a considerable improvement in despeckling the images that contain speckle.

Radiological Risk Assessment for the Public Under the Loss of Medium and Large Sources Using Bayesian Methodology (베이지안 기법에 의거한 중대형 방사선원의 분실 시 일반인에 대한 방사선 위험도의 평가)

  • Kim, Joo-Yeon;Jang, Han-Ki;Lee, Jai-Ki
    • Journal of Radiation Protection and Research
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    • v.30 no.2
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    • pp.91-97
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    • 2005
  • Bayesian methodology is appropriated for use in PRA because subjective knowledges as well as objective data are applied to assessment. In this study, radiological risk based on Bayesian methodology is assessed for the loss of source in field radiography. The exposure scenario for the lost source presented in U.S. NRC is reconstructed by considering the domestic situation and Bayes theorem is applied to updating of failure probabilities of safety functions. In case of updating of failure probabilities, it shows that 5 % Bayes credible intervals using Jeffreys prior distribution are lower than ones using vague prior distribution. It is noted that Jeffreys prior distribution is appropriated in risk assessment for systems having very low failure probabilities. And, it shows that the mean of the expected annual dose for the public based on Bayesian methodology is higher than the dose based on classical methodology because the means of the updated probabilities are higher than classical probabilities. The database for radiological risk assessment are sparse in domestic. It summarizes that Bayesian methodology can be applied as an useful alternative lot risk assessment and the study on risk assessment will be contributed to risk-informed regulation in the field of radiation safety.

Understanding Bayesian Statistics

  • Jeong, Yun-Sik
    • Proceedings of the Korean Statistical Society Conference
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    • 2002.11a
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    • pp.61-68
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    • 2002
  • 통계학은 불확실성(uncertainty)에 대한 연구이다. 베이지안 통계 방법은 불확실성 아래서 통계 추론과 의사 결정 모두를 위한 완전한(complete) 패러다임을 제공한다. 베이지안 방법론은 합리적인 초기 정보와 결합하는 것을 가능하게 만들고, 전통적인 통계적 방법론에 의하여 직면하는 많은 어려움들을 풀 수 있는 coherent 방법론을 제공하면서 엄격한 수학적 기본에 근거하고 있다. 베이지안 패러다임은 일반적인 용어로써 확률이란 단어의 사용을 가장 잘 어울리게 하는 불확실성의 조건부 측도(conditional measure of uncertainty)로써 확률의 해석에 근거한다. 관심있는 것에 대한 통계적 추론은 증거의 관점에서 그 값에 대한 불확실성의 변형으로써 묘사되며, 베이즈 정리(Bayes' theorem)는 이러한 변형이 어떻게 만들어지는 가를 자세히 설명할 수 있다. 베이지안 방법들은 전통적인 통계적 방법론에 접근할 없는 복잡하고, 다양한 구조적 문제들에 응용할 수 있다.

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A Study on the Probabilistic Prediction of Typhoons Approaching the Korean-Peninsula (한반도에 대한 태풍내습확률 산정에 관한 연구)

  • Park, Jun-Il;Yu, Hui-Jeong;Lee, Bae-Ho
    • Water for future
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    • v.17 no.4
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    • pp.273-279
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    • 1984
  • An attempt is made to present a method of prediction for typhoons apporaching the Korean-peninsula. The method is based upon the Bayesian theorem to improve the observed (prior) probabilities of typhoons approaching the Korean sea area incorporating conditional probability. A total of 248 typhoons is collected and analyzed to establish prior probability and conditional probability according to the defined procedure. The typhoons used are those which encompassed the western Pacific area to which the Korean-peninsula is subjected. The results of examplary computations suggest that the presented method is promising for predicting approaching typhoons.

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A Computer Code Development for Updating Reliability Data Using Bayes' Theorem and Its Application (Bayes정리를 이용한 신뢰도 자료 평가용 전산코드 개발 및 응용)

  • Won-Guk Hwang;Kun Joong Yoo
    • Nuclear Engineering and Technology
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    • v.15 no.1
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    • pp.41-49
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    • 1983
  • A computer code, BERD (Bayesian Estimation of Reliability Data), has been developed and tested in order to update the data for the reliability analysis of safety related systems in a specific nuclear power plant. The code has been used to derive the plant-specific data for reliability analysis of the auxiliary feedwater system of a pressurized water reactor. The prior information for components selected was taken from the U.S. Reactor Safety Study, WASH-1400, and the operating experiences from published licensee event reports. The results show that the updated data are well fitted to log-normal distribution curves and the error factors are reduced significantly.

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Identifying Copy Number Variants under Selection in Geographically Structured Populations Based on F-statistics

  • Song, Hae-Hiang;Hu, Hae-Jin;Seok, In-Hae;Chung, Yeun-Jun
    • Genomics & Informatics
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    • v.10 no.2
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    • pp.81-87
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    • 2012
  • Large-scale copy number variants (CNVs) in the human provide the raw material for delineating population differences, as natural selection may have affected at least some of the CNVs thus far discovered. Although the examination of relatively large numbers of specific ethnic groups has recently started in regard to inter-ethnic group differences in CNVs, identifying and understanding particular instances of natural selection have not been performed. The traditional $F_{ST}$ measure, obtained from differences in allele frequencies between populations, has been used to identify CNVs loci subject to geographically varying selection. Here, we review advances and the application of multinomial-Dirichlet likelihood methods of inference for identifying genome regions that have been subject to natural selection with the $F_{ST}$ estimates. The contents of presentation are not new; however, this review clarifies how the application of the methods to CNV data, which remains largely unexplored, is possible. A hierarchical Bayesian method, which is implemented via Markov Chain Monte Carlo, estimates locus-specific $F_{ST}$ and can identify outlying CNVs loci with large values of FST. By applying this Bayesian method to the publicly available CNV data, we identified the CNV loci that show signals of natural selection, which may elucidate the genetic basis of human disease and diversity.

Influence of decorrelation on phase sensitivity in a Mach-Zehnder interferometer (매개하향변환 과정에서 발생하는 두광자의 상관관계가 Mach-Zehnder 간섭계의 분해능에 미치는 영향)

  • 김헌오;고정훈;박구동;김태수
    • Korean Journal of Optics and Photonics
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    • v.12 no.4
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    • pp.251-256
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    • 2001
  • The influences of decorrelation on phase sensitivity are studied with a computer simulation based on the Bayesian theorem, when correlated photons produced by parametric down-conversion are incident on a Mach-Zehnder interferometer. Although the down-converted photons show a perfect correlation in the production process, this degree of correlation may be decreased by reflection, absorption, and scattering during propagation. It is found that this decorrelation results in phase sensitivity degradation, and that the sensitivity is related to the detector quantum efficiency. The results show that when the phase difference between the two paths is smaller the phase sensitivity is better. etter.

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Evaluation of the Runoff Characteristics due to the Dam Operations Using Bayesian Theorem (베이지안 기법을 이용한 댐 운영 전후 유출 특성 평가)

  • Na, Wooyoung;Jeong, Jinung;Kim, So Eun;Yoo, Chulsang
    • Proceedings of the Korea Water Resources Association Conference
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    • 2020.06a
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    • pp.109-109
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    • 2020
  • 본 연구에서는 댐 운영 전과 후의 유출 특성 변화를 평가하는 데 베이지안 기법을 이용하였다. ROM과 같은 댐 운영은 자연유량(유입량)에 대해 주어진 방법을 적용하여 수행하는 일종의 조정(수정) 과정이다. 이 과정은 무작위 변량에 해당하는 유입량을 대상으로 하며, 그 과정의 결과로 역시 유출량이라는 무작위 변량이 생성된다. 기 확정된 또는 고정된 조정(수정) 과정은 일정한 함수로 표현 가능하다. 결과적으로 이 과정은 사전확률에 우도함수를 적용하여 사후확률을 유도하는 것과 같다. 즉, 베이지안 기법의 적용과정과 다르지 않다. ROM으로는 일정률, 일정량, 일정률-일정량 ROM(Rigid ROM) 세 가지를 고려하였다. 각 ROM별 방류 특성을 고려하여 우도함수를 결정하면, 베이지안 기법을 적용하여 사후분포, 즉, 방률량의 분포함수를 유도할 수 있다. 베이지안 기법을 적용하여 유도된 결과는 ROM을 적용하여 직접 모의한 결과와 비교함으로써 검증된다. 본 연구에서는 대상 댐으로 안동댐을 선정하였으며, 안동댐에서 관측된 2010년부터 2019년까지의 10년치 유입량 자료를 이용하였다. 즉, 2010년부터 2019년까지의 안동댐 유입량 자료는 댐 운영 이전의 유출특성을 대변하고, 모의된 유출량은 댐 운영 이후의 유출특성을 대변한다.

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Forecasting of Various Air Pollutant Parameters in Bangalore Using Naïve Bayesian

  • Shivkumar M;Sudhindra K R;Pranesha T S;Chate D M;Beig G
    • International Journal of Computer Science & Network Security
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    • v.24 no.3
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    • pp.196-200
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    • 2024
  • Weather forecasting is considered to be of utmost important among various important sectors such as flood management and hydro-electricity generation. Although there are various numerical methods for weather forecasting but majority of them are reported to be Mechanistic computationally demanding due to their complexities. Therefore, it is necessary to develop and build models for accurately predicting the weather conditions which are faster as well as efficient in comparison to the prevalent meteorological models. The study has been undertaken to forecast various atmospheric parameters in the city of Bangalore using Naïve Bayes algorithms. The individual parameters analyzed in the study consisted of wind speed (WS), wind direction (WD), relative humidity (RH), solar radiation (SR), black carbon (BC), radiative forcing (RF), air temperature (AT), bar pressure (BP), PM10 and PM2.5 of the Bangalore city collected from Air Quality Monitoring Station for a period of 5 years from January 2015 to May 2019. The study concluded that Naive Bayes is an easy and efficient classifier that is centered on Bayes theorem, is quite efficient in forecasting the various air pollution parameters of the city of Bangalore.

Estimating the Likelihood of Malignancy in Solitary Pulmonary Nodules by Bayesian Approach (Bayes식 접근법에 의한 고립성 폐결절의 악성도 예측)

  • Shin, Kyeong-Cheol;Chung, Jin-Hong;Lee, Kwan-Ho;Kim, Chang-Ho;Park, Jae-Yong;Jung, Tae-Hoon;Han, Sung-Beom;Jeon, Young-Jun
    • Tuberculosis and Respiratory Diseases
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    • v.47 no.4
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    • pp.498-506
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    • 1999
  • Background : The causes of solitary pulmonary nodule are many, but the main concern is whether the nodule is benign or malignant. Because a solitary pulmonary nodule is the initial manifestation of the majority of lung cancer, accurate clinical and radiologic interpretation is important. Bayes' theorem is a simple method of combining clinical and radiologic findings to estimate the probability that a nodule in an individual patients is malignant. We estimated the probability of malignancy of solitary pulmonary nodules with a specific combination of features by Bayesian approach. Method : One hundred and eighty patients with solitary pulmonary nodules were identified from multi-center analysis. The hospital records of these patients were reviewed and patient age, smoking history, original radiologic findings, and diagnosis of the solitary pulmonary nodules were recorded. The diagnosis of solitary pulmonary nodule was established pathologically in all patients. We used to Bayes' theorem to devise a simple scheme for estimating the likelihood that a solitary pulmonary nodule is malignant based on radiological and clinical characteristics. Results : In patients characteristics, the probability of malignancy increases with advancing age, peaking in patients older than 66 year of age(LR : 3.64), and higher in patients with smoking history more than 46 pack years(LR : 8.38). In radiological features, the likelihood ratios were increased with increasing size of the nodule and nodule with lobulated or spiculated margin. Conclusion : In conclusion, the likelihood ratios of malignancy may improve the accuracy of the probability of malignancy, and can be a guide of management of solitary pulmonary nodule.

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