• Title/Summary/Keyword: theory of Bayesian

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Transformation of Mass Function and Joint Mass Function for Evidence Theory

  • Suh, Doug. Y.;Esogbue, Augustine O.
    • Journal of the Korean Institute of Intelligent Systems
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    • v.1 no.2
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    • pp.16-34
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    • 1991
  • It has been widely accepted that expert systems must reason from multiple sources of information that is to some degree evidential - uncertain, imprecise, and occasionally inaccurate - called evidential information. Evidence theory (Dempster/Shafet theory) provides one of the most general framework for representing evidential information compared to its alternatives such as Bayesian theory or fuzzy set theory. Many expert system applications require evidence to be specified in the continuous domain - such as time, distance, or sensor measurements. However, the existing evidence theory does not provide an effective approach for dealing with evidence about continuous variables. As an extension to Strat's pioneeiring work, this paper provides a new combination rule, a new method for mass function transffrmation, and a new method for rendering joint mass fuctions which are of great utility in evidence theory in the continuous domain.

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Improving Correctness in the Satellite Remote Sensing Data Analysis -Laying Stress on the Application of Bayesian MLC in the Classification Stage- (인공위성 원격탐사 데이타의 분석 정확도 향상에 관한 연구 -분류과정에서의 Bayesian MIC 적용을 중심으로-)

  • 안철호;김용일
    • Journal of the Korean Society of Surveying, Geodesy, Photogrammetry and Cartography
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    • v.9 no.2
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    • pp.81-91
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    • 1991
  • This thesis aims to improve the analysis accuracy of remotely sensed digital imagery, and the improvement is achieved by considering the weight factors(a priori probabilities) of Bayesian MLC in the classification stage. To be concrete, Bayesian decision theory is studied from remote sensing field of view, and the equations in the n-dimensional form are derived from normal probability density functions. The amount of the misclassified pixels is extracted from probability function data using the thres-holding, and this is a basis of evaluating the classification accuracy. The results indicate that 5.21% of accuracy improvement was carried out. The data used in this study is LANDSAT TM(1985.10.21 ; 116-34), and the study area is within the administrative boundary of Seoul.

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Bayesian Confirmation Theory and Hempel's Intuitions (베이즈주의와 헴펠: 베이즈주의자들은 헴펠의 직관을 포착하는가?)

  • Lee, Ilkwon
    • Korean Journal of Logic
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    • v.22 no.3
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    • pp.351-395
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    • 2019
  • Hempel's original intuitions about the raven's paradox are summed up in three ways. The first is known as the paradoxical conclusion: If one observes that an object a - about which nothing is antecedently known - is a non-black non-raven, then this observation confirms that all ravens are black. The second is an intuitive verdict of the misled conclusion of the paradox: If one observes that an object a - which is known to be a non-raven - is non-black (hence, is a non-black non-raven), then this observation does not confirmationally affect that all ravens are black. The third is a comparative claim between the two intuitions: the degree of confirmation appearing in the first intuition is greater than the degree of confirmation in the second intuition. The Standard Bayesian Solution of the paradox is evaluated to fleshed Hempel's intuitions out by establishing the first intuition. However, such an evaluation of this solution should be further analyzed because Hempel's intuition is not the only one. The solution of paradox does not establish the second intuition in a strict sense. However, I think the Bayesian solution will establish the second intuition based on its typical strategy of quantitative vindication. If only quantitative vindication is accepted, this evaluation of the solution remains valid. Nevertheless, the solution fails to establish the third intuition. In this article, I propose a new way to apply the Bayesian method to establish Hempel's intuitions, including the third intuition. If my analysis is correct, the Standard Bayesian Solution of the raven's paradox could indeed flesh Hempel's intuitions out by denying one of the assumptions considered essential.

A Probabilistic Model for the Prediction of Burr Formation in Face Milling

  • Suneung Ahn
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.23 no.60
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    • pp.23-36
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    • 2000
  • A probabilistic model of burr formation in face milling of gray cast iron is proposed. During a face milling operation, an irregular pattern of the edge profile consisting of burrs and edge breakouts is observed at the end of cut. Based on the metal cutting theory, we derive a probabilistic model. The operational bayesian modeling approach is adopted to include the relevant theory in the model.

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A Belief Network Approach for Development of a Nuclear Power Plant Diagnosis System

  • I.K. Hwang;Kim, J.T.;Lee, D.Y.;C.H. Jung;Kim, J.Y.;Lee, J.S.;Ha, C.S .m
    • Proceedings of the Korean Nuclear Society Conference
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    • 1998.05a
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    • pp.273-278
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    • 1998
  • Belief network(or Bayesian network) based on Bayes' rule in probabilistic theory can be applied to the reasoning of diagnostic systems. This paper describes the basic theory of concept and feasibility of using the network for diagnosis of nuclear power plants. An example shows that the probabilities of root causes of a failure are calculated from the measured or believed evidences.

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Online Learning of Bayesian Network Parameters for Incomplete Data of Real World (현실 세계의 불완전한 데이타를 위한 베이지안 네트워크 파라메터의 온라인 학습)

  • Lim, Sung-Soo;Cho, Sung-Bae
    • Journal of KIISE:Computer Systems and Theory
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    • v.33 no.12
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    • pp.885-893
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    • 2006
  • The Bayesian network(BN) has emerged in recent years as a powerful technique for handling uncertainty iii complex domains. Parameter learning of BN to find the most proper network from given data set has been investigated to decrease the time and effort for designing BN. Off-line learning needs much time and effort to gather the enough data and since there are uncertainties in real world, it is hard to get the complete data. In this paper, we propose an online learning method of Bayesian network parameters from incomplete data. It provides higher flexibility through learning from incomplete data and higher adaptability on environments through online learning. The results of comparison with Voting EM algorithm proposed by Cohen at el. confirm that the proposed method has the same performance in complete data set and higher performance in incomplete data set, comparing with Voting EM algorithm.

Correlated damage probabilities of bridges in seismic risk assessment of transportation networks: Case study, Tehran

  • Shahin Borzoo;Morteza Bastami;Afshin Fallah;Alireza Garakaninezhad;Morteza Abbasnejadfard
    • Earthquakes and Structures
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    • v.26 no.2
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    • pp.87-96
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    • 2024
  • This paper proposes a logistic multinomial regression approach to model the spatial cross-correlation of damage probabilities among different damage states in an expanded transportation network. Utilizing Bayesian theory and the multinomial logistic model, we analyze the damage states and probabilities of bridges while incorporating damage correlation. This correlation is considered both between bridges in a network and within each bridge's damage states. The correlation model of damage probabilities is applied to the seismic assessment of a portion of Tehran's transportation network, encompassing 26 bridges. Additionally, we introduce extra daily traffic time (EDTT) as an operational parameter of the transportation network and employ the shortest path algorithm to determine the path between two nodes. Our results demonstrate that incorporating the correlation of damage probabilities reduces the travel time of the selected network. The average decrease in travel time for the correlated case compared to the uncorrelated case, using two selected EDTT models, is 53% and 71%, respectively.

Determination of Control Limits of Conditional Variance Investigation: Application of Taguchi's Quality Loss Concept (조건부 차이조사의 관리한계 결정: 다구찌 품질손실 개념의 응용)

  • Pai, Hoo Seok;Lim, Chae Kwan
    • Journal of Korean Society for Quality Management
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    • v.49 no.4
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    • pp.467-482
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    • 2021
  • Purpose: The main theme of this study is to determine the optimal control limit of conditional variance investigation by mathematical approach. According to the determination approach of control limit presented in this study, it is possible with only one parameter to calculate the control limit necessary for budgeting control system or standard costing system, in which the limit could not be set in advance, that's why it has the advantage of high practical application. Methods: This study followed the analytical methodology in terms of the decision model of information economics, Bayesian probability theory and Taguchi's quality loss function concept. Results: The function suggested by this study is as follows; ${\delta}{\leq}\frac{3}{2}(k+1)+\frac{2}{\frac{3}{2}(k+1)+\sqrt{\{\frac{3}{2}(k+1)\}^2}+4$ Conclusion: The results of this study will be able to contribute not only in practice of variance investigation requiring in the standard costing and budgeting system, but also in all fields dealing with variance investigation differences, for example, intangible services quality control that are difficult to specify tolerances (control limit) unlike tangible product, and internal information system audits where materiality standards cannot be specified unlike external accounting audits.

Spectrum Allocation based on Auction in Overlay Cognitive Radio Network

  • Jiang, Wenhao;Feng, Wenjiang;Yu, Yang
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • v.9 no.9
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    • pp.3312-3334
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    • 2015
  • In this paper, a mechanism for spectrum allocation in overlay cognitive radio networks is proposed. In overlay cognitive radio networks, the secondary users (SUs) must first sense the activity of primary users (PUs) to identify unoccupied spectrum bands. Based on their different contributions for the spectrum sensing, the SUs get payoffs that are computed by the fusion center (FC). The unoccupied bands will be auctioned and SUs are asked to bid using payoffs they earned or saved. Coalitions are allowed to form among SUs because each SU may only need a portion of the bands. We formulate the coalition forming process as a coalition forming game and analyze it by game theory. In the coalition formation game, debtor-creditor relationship may occur among the SUs because of their limited payoff storage. A debtor asks a creditor for payoff help, and in return provides the creditor with a portion of transmission time to relay data for the creditor. The negotiations between debtors and creditors can be modeled as a Bayesian game because they lack complete information of each other, and the equilibria of the game is investigated. Theoretical analysis and numerical results show that the proposed auction yields data rate improvement and certain fairness among all SUs.