• Title/Summary/Keyword: Probabilistic theory

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A Study on the Concept of Chaos and New Design Thinking (카오스개념과 새로운 디자인사고에 관한 고찰)

  • 김주미
    • Korean Institute of Interior Design Journal
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    • no.6
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    • pp.28-37
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    • 1995
  • As we approach the end of the twentieth century, it seems we need a new way to express the thoughts, needs, and values that are undergoing a drastic change and a new strategy to create diverse cultural forms that would reflect and incorporate such changes. In this study, I am introducing the chaos theory as a new way of thinking that would help counterbalancing the deter-ministic world-view and forging a harmonious unity of man and his environment. As a creative principle, the theory seems to offer an unlimited number of structural possibilities for art and design. In fine, this study discuss-es the reductive nature of modernist approach and offer instead the chaos theory that is more probabilistic and capable of greater diversity.

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From Theory to Implementation of a CPT-Based Probabilistic and Fuzzy Soil Classification

  • Tumay, Mehmet T.;Abu-Farsakh, Murad Y.;Zhang, Zhongjie
    • Proceedings of the Korean Geotechical Society Conference
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    • 2008.03a
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    • pp.1466-1483
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    • 2008
  • This paper discusses the development of an up-to-date computerized CPT (Cone Penetration Test) based soil engineering classification system to provide geotechnical engineers with a handy tool for their daily design activities. Five CPT soil engineering classification systems are incorporated in this effort. They include the probabilistic region estimation and fuzzy classification methods, both developed by Zhang and Tumay, the Schmertmann, the Douglas and Olsen, and the Robertson et al. methods. In the probabilistic region estimation method, a conformal transformation is used to determine the soil classification index, U, from CPT cone tip resistance and friction ratio. A statistical correlation is established between U and the compositional soil type given by the Unified Soil Classification System (USCS). The soil classification index, U, provides a soil profile over depth with the probability of belonging to different soil types, which more realistically and continuously reflects the in-situ soil characterization, which includes the spatial variation of soil types. The CPT fuzzy classification on the other hand emphasizes the certainty of soil behavior. The advantage of combining these two classification methods is realized through implementing them into visual basic software with three other CPT soil classification methods for friendly use by geotechnical engineers. Three sites in Louisiana were selected for this study. For each site, CPT tests and the corresponding soil boring results were correlated. The soil classification results obtained using the probabilistic region estimation and fuzzy classification methods are cross-correlated with conventional soil classification from borings logs and three other established CPT soil classification methods.

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Probabilistic Modeling of Photovoltaic Power Systems with Big Learning Data Sets (대용량 학습 데이터를 갖는 태양광 발전 시스템의 확률론적 모델링)

  • Cho, Hyun Cheol;Jung, Young Jin
    • Journal of the Korean Institute of Intelligent Systems
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    • v.23 no.5
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    • pp.412-417
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    • 2013
  • Analytical modeling of photovoltaic power systems has been receiving significant attentions in recent years in that it is easy to apply for prediction of its dynamics and fault detection and diagnosis in advanced engineering technologies. This paper presents a novel probabilistic modeling approach for such power systems with a big data sequence. Firstly, we express input/output function of photovoltaic power systems in which solar irradiation and ambient temperature are regarded as input variable and electric power is output variable respectively. Based on this functional relationship, conditional probability for these three random variables(such as irradiation, temperature, and electric power) is mathematically defined and its estimation is accomplished from ratio of numbers of all sample data to numbers of cases related to two input variables, which is efficient in particular for a big data sequence of photovoltaic powers systems. Lastly, we predict the output values from a probabilistic model of photovoltaic power systems by using the expectation theory. Two case studies are carried out for testing reliability of the proposed modeling methodology in this paper.

Wind-induced random vibration of saddle membrane structures: Theoretical and experimental study

  • Rongjie Pan;Changjiang Liu;Dong Li;Yuanjun Sun;Weibin Huang;Ziye Chen
    • Wind and Structures
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    • v.36 no.2
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    • pp.133-147
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    • 2023
  • The random vibration of saddle membrane structures under wind load is studied theoretically and experimentally. First, the nonlinear random vibration differential equations of saddle membrane structures under wind loads are established based on von Karman's large deflection theory, thin shell theory and potential flow theory. The probabilistic density function (PDF) and its corresponding statistical parameters of the displacement response of membrane structure are obtained by using the diffusion process theory and the Fokker Planck Kolmogorov equation method (FPK) to solve the equation. Furthermore, a wind tunnel test is carried out to obtain the displacement time history data of the test model under wind load, and the statistical characteristics of the displacement time history of the prototype model are obtained by similarity theory and probability statistics method. Finally, the rationality of the theoretical model is verified by comparing the experimental model with the theoretical model. The results show that the theoretical model agrees with the experimental model, and the random vibration response can be effectively reduced by increasing the initial pretension force and the rise-span ratio within a certain range. The research methods can provide a theoretical reference for the random vibration of the membrane structure, and also be the foundation of structural reliability of membrane structure based on wind-induced response.

Probabilistic estimation of fully coupled blasting pressure transmitted to rock mass I - Estimation of peak blasting pressure - (암반에 전달된 밀장전 발파압력의 확률론적 예측 I - 최대 발파압력 예측을 중심으로 -)

  • Park, Bong-Ki;Lee, In-Mo;Kim, Dong-Hyun
    • Journal of Korean Tunnelling and Underground Space Association
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    • v.5 no.4
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    • pp.337-348
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    • 2003
  • The propagation mechanism of a detonation pressure with fully coupled charge is clarified and the blasting pressure propagated in rock mass is derived from the application of shock wave theory. The blasting pressure was a function of detonation velocity, isentropic exponent, explosive density, Hugoniot parameters, and rock density. Probabilistic distribution is obtained by using explosion tests on emulsion and rock property tests on granite in Seoul and then the probabilistic distribution of the blasting pressure is derived from the above mentioned properties. The probabilistic distributions of explosive properties and rock properties show a normal distribution so that the blasting pressure propagated in rock can be also regarded as a normal distribution. Parametric analysis was performed to pinpoint the most influential parameter that affects the blasting pressure and it was found that the detonation velocity is the most sensitive parameter. Moreover, uncertainty analysis was performed to figure out the effect of each parameter uncertainty on the uncertainty of blasting pressure. Its result showed that uncertainty of natural rock properties constitutes the main portion of blasting pressure uncertainty rather than that of explosive properties. In other words, since rock property uncertainty is much larger than detonation velocity uncertainty the blasting pressure uncertainty is more influenced by the former than by the latter even though the detonation velocity is found to be the most influencing parameter on the blasting pressure.

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Development of A Recovery Algorithm for Sparse Signals based on Probabilistic Decoding (확률적 희소 신호 복원 알고리즘 개발)

  • Seong, Jin-Taek
    • The Journal of Korea Institute of Information, Electronics, and Communication Technology
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    • v.10 no.5
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    • pp.409-416
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    • 2017
  • In this paper, we consider a framework of compressed sensing over finite fields. One measurement sample is obtained by an inner product of a row of a sensing matrix and a sparse signal vector. A recovery algorithm proposed in this study for sparse signals based probabilistic decoding is used to find a solution of compressed sensing. Until now compressed sensing theory has dealt with real-valued or complex-valued systems, but for the processing of the original real or complex signals, the loss of the information occurs from the discretization. The motivation of this work can be found in efforts to solve inverse problems for discrete signals. The framework proposed in this paper uses a parity-check matrix of low-density parity-check (LDPC) codes developed in coding theory as a sensing matrix. We develop a stochastic algorithm to reconstruct sparse signals over finite field. Unlike LDPC decoding, which is published in existing coding theory, we design an iterative algorithm using probability distribution of sparse signals. Through the proposed recovery algorithm, we achieve better reconstruction performance as the size of finite fields increases. Since the sensing matrix of compressed sensing shows good performance even in the low density matrix such as the parity-check matrix, it is expected to be actively used in applications considering discrete signals.

Verification of the Radiation Shielding Analysis of Shipping Cask Using Deterministic and Probabilistic Methods (결정론적인 방법과 확률론적인 방법을 이용한 수송용기 방사선차폐해석의 비교 및 검증)

  • Yoon, Jeong-Hyoung;Lee, In-Koo;Bang, Kyoung-Sik;Choi, Byoung-Il;Kim, Chong-Kyoung
    • Journal of Radiation Protection and Research
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    • v.21 no.1
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    • pp.17-25
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    • 1996
  • In this study, to set-up the calculation method of radiation shielding of the KSC-4 shipping cask which is being used for spent fuel transportation, the pre-existing two calculation methods, deterministic and probabilistic methods were tested. For the first, the DOT4.2 computer code adopting the deterministic theory was applied for the calculation of effective neutron shielding under assumption of continuous wall thickness of the cask. To verify the first results, the probabilistic theory was used as an alternate calculation. In this case MCNP4A computer code adopting the probabilitic theory was used. And same approximation was obtained from the two different shielding calculations. From the results, it could be confirmed that the design and calculation method used for the radiation shielding of the KSC-4 was adequate and sufficiently safe to meet the design and QA requirements of 10CFR71 Appendix H.

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An Overrun Control Method and its Synthesis Method for Real-Time Systems with Probabilistic Timing Constraints (확률적인 시간 제약 조건을 갖는 실시간 시스템을 위한 과실행 제어 및 합성 기법)

  • Kim, Kang-Hee;Hwang, Ho-Young
    • Journal of KIISE:Computer Systems and Theory
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    • v.32 no.5
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    • pp.243-254
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    • 2005
  • Soft real-time applications such as multimedia feature highly variable processor requirements and probabilistic guarantees on deadline misses, meaning that each task in the application meets its deadline with a given probability. Thus, for such soft real-time applications, a system designer may want to improve the system utilization by allocating to each task a processor time less than its worst-case requirement, as long as the imposed probabilistic timing constraint is met. In this case, however, we have to address how to schedule jobs of a task that require more than (or, overrun) the allocated processor time to the task. In this paper, to address the overrun problem, we propose an overrun control method, which probabilistically controls the execution of overrunning jobs. The proposed overrun control method probabilistically allows overrunning jobs to complete for better system utilization, and also probabilistically prevents the overrunning jobs from completing so that the required probabilistic timing constraint for each task can be met. In the paper, we show that the proposed method outperforms previous methods proposed in the literature in terms of the overall deadline miss ratio, and that it is possible to synthesize the scheduling parameters of our method so that all tasks can meet the given probabilistic timing constraints.

Implementation issues for Uncertain Relational Databases

  • Yu, Hairong;Ramer, Arthur
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 1998.06a
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    • pp.128-133
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    • 1998
  • This paper aims to present some ideas for implementation of Uncertain Relational Databases (URD) which are extensions of classical relational databases. Our system firstly is based on possibility distribution and probability theory to represent and manipulate fuzzy and probabilistic information, secondly adopts flexible mechanisms that allow the management of uncertain data through the resources provided by both available relational database management systems and front-end interfaces, and lastly chooses dynamic SQL to enhance versatility and adjustability of systems.

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Maximum Entropy Principle for Queueing Theory

  • SungJin Ahn;DongHoon Lim;SooTaek Kim
    • Communications for Statistical Applications and Methods
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    • v.4 no.2
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    • pp.497-505
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    • 1997
  • We attempt to get a probabilistic model of a queueing system in the maximum entropy condition. Applying the maximum entropy principle to the queueing system, we obtain the most uncertain probability model compatible with the available information expressed by moments.

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