• Title/Summary/Keyword: Markov-chain

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Performance of Image Reconstruction Techniques for Efficient Multimedia Transmission of Multi-Copter (멀티콥터의 효율적 멀티미디어 전송을 위한 이미지 복원 기법의 성능)

  • Hwang, Yu Min;Lee, Sun Yui;Lee, Sang Woon;Kim, Jin Young
    • Journal of Satellite, Information and Communications
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    • v.9 no.4
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    • pp.104-110
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    • 2014
  • This paper considers two reconstruction schemes of structured-sparse signals, turbo inference and Markov chain Monte Carlo (MCMC) inference, in compressed sensing(CS) technique that is recently getting an important issue for an efficient video wireless transmission system using multi-copter as an unmanned aerial vehicle. Proposed reconstruction algorithms are setting importance on reduction of image data sizes, fast reconstruction speed and errorless reconstruction. As a result of experimentation with twenty kinds of images, we can find turbo reconstruction algorithm based on loopy belief propagation(BP) has more excellent performances than MCMC algorithm based on Gibbs sampling as aspects of average reconstruction computation time, normalized mean squared error(NMSE) values.

A dynamic procedure for defection detection and prevention based on SOM and a Markov chain

  • Kim, Young-ae;Song, Hee-seok;Kim, Soung-hie
    • Proceedings of the KAIS Fall Conference
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    • 2003.11a
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    • pp.141-148
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    • 2003
  • Customer retention is a common concern for many industries and a critical issue for the survival in today's greatly compressed marketplace. Current customer retention models only focus on detection of potential defectors based on the likelihood of defection by using demographic and customer profile information. In this paper, we propose a dynamic procedure for defection detection and prevention using past and current customer behavior by utilizing SOM and Markov chain. The basic idea originates from the observation that a customer has a tendency to change his behavior (i.e. trim-out his usage volumes) before his eventual withdrawal. This gradual pulling out process offers the company the opportunity to detect the defection signals. With this approach, we have two significant benefits compared with existing defection detection studies. First, our procedure can predict when the potential defectors could withdraw and this feature helps to give marketing managers ample lead-time for preparing defection prevention plans. The second benefit is that our approach can provide a procedure for not only defection detection but also defection prevention, which could suggest the desirable behavior state for the next period so as to lower the likelihood of defection. We applied our dynamic procedure for defection detection and prevention to the online gaming industry. Our suggested procedure could predict potential defectors without deterioration of prediction accuracy compared to that of the MLP neural network and DT.

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Application of Hidden Markov Chain Model to identify temporal distribution of sub-daily rainfall in South Korea

  • Chandrasekara, S.S.K;Kim, Yong-Tak;Kwon, Hyun-Han
    • Proceedings of the Korea Water Resources Association Conference
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    • 2018.05a
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    • pp.499-499
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    • 2018
  • Hydro-meteorological extremes are trivial in these days. Therefore, it is important to identify extreme hydrological events in advance to mitigate the damage due to the extreme events. In this context, exploring temporal distribution of sub-daily extreme rainfall at multiple rain gauges would informative to identify different states to describe severity of the disaster. This study proposehidden Markov chain model (HMM) based rainfall analysis tool to understand the temporal sub-daily rainfall patterns over South Korea. Hourly and daily rainfall data between 1961 and 2017 for 92 stations were used for the study. HMM was applied to daily rainfall series to identify an observed hidden state associated with rainfall frequency and intensity, and further utilized the estimated hidden states to derive a temporal distribution of daily extreme rainfall. Transition between states over time was clearly identified, because HMM obviously identifies the temporal dependence in the daily rainfall states. The proposed HMM was very useful tool to derive the temporal attributes of the daily rainfall in South Korea. Further, daily rainfall series were disaggregated into sub-daily rainfall sequences based on the temporal distribution of hourly rainfall data.

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A study on the identification of hub cities and delineation of their catchment areas based on regional interactions (지역 거점도시 식별 및 상호작용에 따른 영향권역 설정에 관한 연구)

  • Kim, Dohyeong;Woo, Myungje
    • Journal of Korea Planning Association
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    • v.53 no.7
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    • pp.5-22
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    • 2018
  • While the competitiveness of small and medium sized cities has become important for balanced development at the national scale, they have experienced continuous decline in population and employment, particularly those in non-capital regions. In addition, some of small and medium sized cities have been classified into shrinking cities that have declined due to their long-term structural reasons. To address these issues, a regional approach, by which a hub city and its surrounding small and medium sized cities can collaborate has been suggested. Given this background, the purpose of this study is to identify and delineate hub cities and their impact areas by using travel data as a functional network index. This study uses a centrality index to identify the hub cities of small and medium sized cities and Markov-chain model and cluster analysis to delineate regional boundaries. The mean first passage time (MFPT) generated from the Markov-chain model can be interpreted as functional distance of each region. The study suggests a methodological approach delineating the boundaries of regions incorporating functional relationships of hub cities and their impact areas, and provides 59 hub cities and their impact areas. The results also provide policy implications for regional spatial planning that addresses appropriate planning boundaries of regions for enhancing the economic competitiveness of small and medium sized cities and ensuring services for shrinking cities.

A variational Bayes method for pharmacokinetic model (약물동태학 모형에 대한 변분 베이즈 방법)

  • Parka, Sun;Jo, Seongil;Lee, Woojoo
    • The Korean Journal of Applied Statistics
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    • v.34 no.1
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    • pp.9-23
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    • 2021
  • In the following paper we introduce a variational Bayes method that approximates posterior distributions with mean-field method. In particular, we introduce automatic differentiation variation inference (ADVI), which approximates joint posterior distributions using the product of Gaussian distributions after transforming parameters into real coordinate space, and then apply it to pharmacokinetic models that are models for the study of the time course of drug absorption, distribution, metabolism and excretion. We analyze real data sets using ADVI and compare the results with those based on Markov chain Monte Carlo. We implement the algorithms using Stan.

Conjugation and strong shift equivalence

  • Ha, Young-Hwa
    • Communications of the Korean Mathematical Society
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    • v.11 no.1
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    • pp.191-199
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    • 1996
  • The strong shift equivalence of nonnegative integral square matrices is a necessary and sufficient condition for the topological conjugacy of topological Markov chains. In this paper we study the relation between strong shift equivalence and matrix conjugation.

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Enhanced Markov-Difference Based Power Consumption Prediction for Smart Grids

  • Le, Yiwen;He, Jinghan
    • Journal of Electrical Engineering and Technology
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    • v.12 no.3
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    • pp.1053-1063
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    • 2017
  • Power prediction is critical to improve power efficiency in Smart Grids. Markov chain provides a useful tool for power prediction. With careful investigation of practical power datasets, we find an interesting phenomenon that the stochastic property of practical power datasets does not follow the Markov features. This mismatch affects the prediction accuracy if directly using Markov prediction methods. In this paper, we innovatively propose a spatial transform based data processing to alleviate this inconsistency. Furthermore, we propose an enhanced power prediction method, named by Spatial Mapping Markov-Difference (SMMD), to guarantee the prediction accuracy. In particular, SMMD adopts a second prediction adjustment based on the differential data to reduce the stochastic error. Experimental results validate that the proposed SMMD achieves an improvement in terms of the prediction accuracy with respect to state-of-the-art solutions.

Forecasting Probability of Precipitation Using Morkov Logistic Regression Model

  • Park, Jeong-Soo;Kim, Yun-Seon
    • Communications for Statistical Applications and Methods
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    • v.14 no.1
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    • pp.1-9
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    • 2007
  • A three-state Markov logistic regression model is suggested to forecast the probability of tomorrow's precipitation based on the current meteorological situation. The suggested model turns out to be better than Markov regression model in the sense of the mean squared error of forecasting for the rainfall data of Seoul area.

MEAN-FIELD BACKWARD STOCHASTIC DIFFERENTIAL EQUATIONS ON MARKOV CHAINS

  • Lu, Wen;Ren, Yong
    • Bulletin of the Korean Mathematical Society
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    • v.54 no.1
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    • pp.17-28
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    • 2017
  • In this paper, we deal with a class of mean-field backward stochastic differential equations (BSDEs) related to finite state, continuous time Markov chains. We obtain the existence and uniqueness theorem and a comparison theorem for solutions of one-dimensional mean-field BSDEs under Lipschitz condition.

FSM state assignment for low power dissipation based on Markov chain model (Markov 확률 모델을 이용한 저전력 상태 할당 알고리즘)

  • Kim, Jong Su
    • Journal of the Institute of Electronics Engineers of Korea SD
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    • v.38 no.2
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    • pp.51-51
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    • 2001
  • 본 논문은 디지털 순서회로 설계시 상태할당 알고리즘 개발에 관한 연구로, 동적 소비전력을 감소시키기 위하여 상태변수의 변화를 최소로 하는 코드를 할당하여 상태코드가 변화하는 스위칭횟수를 줄이도록 하였다. 상태를 할당하는데는 Markov의 확률함수를 이용하여 hamming거리가 최소가 되도록 상태 천이도에서 각 상태를 연결하는 edge에 weight를 정의한 다음, 가중치를 이용하여 각 상태들간의 연결성을 고려하여 인접한 상태들간에는 가능한 적은 비트 천이를 가지도륵 모든 상태를 반복적으로 찾아 계산하였다. 비트 천이의 정도를 나타내기 위하여 cost 함수로 계산한 결과 순서회로의 종류에 따라 Lakshmikant의 알고리즘보다 최고 57.42%를 감소시킬 수 있었다.