• Korean Journal of Mathematics
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• 제27권1호
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• pp.1-8
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• 2019

We will deal with an n locus model in which mutation and gene conversion are taken into consideration. Also random partitions of the number n determined by chromosomes with n loci should be investigated. The diffusion process describes the time evolution of distributions of the random partitions. In this paper, we find the probability of distribution of the diffusion process with special diffusion operator $L_1$ and we show that the average probability of genes at different loci on one chromosome can be described by the rate of gene frequency of mutation and gene conversion.

• 한국해양공학회지
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• 제7권2호
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• pp.114-120
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• 1993

Responses of marine vehicles and ocean structures in a seaway can be predicted by applying the probabilistic approach. When we consider a linear system, the responses in a random seaway can be evaluated through spectral analysis in the frequency domain. But when we treat nonlinear system in irregular waves, it is necessary to get time history of waves. In the previous study we introduced one-directional waves (long crested waves)as wave environment and carried out calculations and experiments in the waves. But the real sea in which marine vehicles and structures are operated has multi-directional waves (short crested waves). It is important to get a simulated random sea and analyse dynamic problems in the sea. We need entire sample function or probabillty density function to infer statistical value of random process. However if the process are ergodic process, we can get statistical values by analysis of one sample function. In this paper, we developed the simulation technique of multi-directional waves and proved that the time history given by this method keep ergodic characteristics by the statistical analysis.

• The Journal of the Acoustical Society of Korea
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• 제15권3E호
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• pp.4-12
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• 1996

In this study, we examine the applicability of an artificial neural network(ANN) for filtering underwater random noise and for identifying underlying signals taken from noisy environment. The approach is to find a way of compressing the input data and then decompressing it using an ANN as in image compressing process. It is well known that random signal is hard to compress while ordered information is not. The use of a limited number of processing elements(PEs) in the hidden layer of an Ann ensures that some of the noise would be removed in the reconstruction process. Two types of the signals, synthesized and measured, are used to examine the effectiveness of the ANN-based filter. After training process is completed, the ANN successfully extracts the underlying signals form the synthesized or measured noisy signals. In particular, compared with the results form without filtering or moving averaged, the ANN-based filter gives much better spectrograms to identify underlying signals from the measured noisy data. This filtering process is achieved without using and kind of highly accurate signal processing technique. More experimentation needs to be followed to develop the ANN-based filtering technique to the level of complete understanding.

• 대한수학회논문집
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• 제12권3호
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• pp.725-741
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• 1997

This paper considers the problem of deriving exponential probability inequalities for product symmetric Poisson processes. As an application they are used to show the existence of regular version of some product process derived from L$\acute{e}$vy process.

• Journal of the Korean Data and Information Science Society
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• 제18권4호
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• pp.963-972
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• 2007

When a control chart signals that a special cause is present, process engineers must initiate a search for and an identification of the special cause. Knowing the time of the process change could lead to identify the special cause more quickly, and to take the appropriate actions immediately to improve quality. In this paper, we propose the maximum likelihood estimator (MLE) for the process change point when a control chart is used in monitoring the parameters of a process in which the observations can be modeled as a first-order autoregressive(AR(1)) process plus an additional random error.

• 정보처리학회논문지:컴퓨터 및 통신 시스템
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• 제11권5호
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• pp.147-156
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• 2022

다양한 산업을 관리하고 유지하는 산업제어시스템은 주로 외부와의 연결 없이 폐쇄적으로 운영됐지만 최근 인터넷의 발전과 ICT 기술의 도입으로 외부나 공격자의 산업제어시스템에 접근이 쉬워졌다. 잘못된 접근이나 공격은 산업제어시스템의 주요 속성인 가용성을 해칠 수 있으며, 가용성이 침해될 경우 큰 피해가 발생할 수 있다. 본 논문에서는 산업제어시스템에서 명령을 내릴 때 랜덤리스트를 생성해 검증그룹을 구성하여 명령을 검증 후 실행하며, 명령 실행 결과를 이용해 검증을 진행한 검증그룹에 피드백을 적용하는 신뢰 점수 기법을 도입한다. 이를 통해 명령 검증 요청과정에서 랜덤 생성에 발생하는 오버헤드를 줄일 수 있으며, 검증 과정에 유연성을 부여하고 시스템의 가용성을 보장할 수 있다. 시스템의 성능 분석을 위해 스마트 계약 배포 시 걸리는 시간과 가스 사용량, 명령 검증 시 가스 사용량을 측정했다. 그 결과, 기존시스템과 비교해 랜덤리스트를 생성하지만, 스마트 계약 배포에 걸리는 시간은 거의 차이가 없음을 확인했고 스마트 계약 배포에 사용되는 가스는 랜덤리스트 생성과정에서 약 1.4배 증가함을 확인했다. 하지만, 명령 검증 과정에서 명령 검증과 신뢰 점수 기법의 연산을 함께 진행함에도 랜덤 연산을 하지 않아 검증 1회당 약 9% 적은 가스를 사용해 검증 과정에 가용성을 보장한다.

• 대한수학회보
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• 제35권3호
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• pp.485-490
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• 1998

We consider a class of discrete parameter processes on a locally compact Polish space $S$ arising from successive compositions of strictly stationary Markov random maps on $S$ into itself. Sufficient conditions for the existence of the stationary solution and the weak convergence of the distributions of $\{\Gamma_n \Gamma_{n-1} \cdots \Gamma_0x \}$ are given.

• 한국멀티미디어학회논문지
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• 제20권10호
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• pp.1671-1677
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• 2017

In this paper, we propose a machine learning method for random noise removal in image deblurring. The proposed method uses a logistic regression to select reliable data to use them, and, at the same time, to exclude data, which seem to be corrupted by random noise, in the deblurring process. The proposed method uses commonly available images as training data. Simulation results show an improved performance of the proposed method, as compared with the median filtering based reliable data selection method.

• Journal of applied mathematics & informatics
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• 제12권1_2호
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• pp.299-305
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• 2003

The central limit theorems are obtained for stationary linear processes of the form Xt = (equation omitted), where {$\varepsilon$t} is a strictly stationary sequence of random variables which are either linearly positive quad-rant dependent or associated and {aj} is a sequence of .eat numbers with (equation omitted).

• 한국세라믹학회지
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• 제56권6호
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• pp.596-600
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• 2019

Artificial intelligence with a sufficient amount of realistic big data in certain applications has been demonstrated to play an important role in designing new materials or in manufacturing high-quality products. To reduce cracks in ceramic products using machine learning, it is desirable to utilize big data in recently developed data-driven optimization schemes. However, there is insufficient big data for ceramic processes. Therefore, we developed a numerical algorithm to make "virtual" manufacturing data sets using indirect methods such as computer simulations and image processing. In this study, a numerical algorithm based on the random walk was demonstrated to generate images of cracks by adjusting the conditions of the random walk process such as the number of steps, changes in direction, and the number of cracks.