• Title/Summary/Keyword: Markov-difference

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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.

Comparison of Perturbation Analysis Estimate and Forward Difference Estimate in a Markov Renewal Process

  • Park, Heung-sik
    • Communications for Statistical Applications and Methods
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    • v.7 no.3
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    • pp.871-884
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    • 2000
  • Using simulation, we compare the perturbation analysis estimate and the forward difference estimate for the first and second derivatives of performance measures in a Markov renewal process. We find the perturbation analysis estimate has much les mean squared error than the traditional forward difference estimate.

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Thermal Transfer Analysis of Micro Flow Sensor using by Markov Chain MCM (Markov 연쇄 MCM을 이용한 마이크로 흐름센서 열전달 해석)

  • Cha, Kyung-Hwan;Kim, Tae-Yong
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.12 no.12
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    • pp.2253-2258
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    • 2008
  • To design micro flow sensor varying depending on temperature of driving heater in the detector of Oxide semiconductor, Markov chain MCM(MCMCM), which is a kind of stochastic and microscopic method, was introduced. The formulation for the thermal transfer equation based on the FDM to obtain the MCMCM solution was performed and investigated, in steady state case. MCMCM simulation was successfully applied, so that its application can be expanded to a three-dimensional model with inhomogeneous material and complicated boundary.

The p-Norm of Log-likelihood Difference Estimation Algorithm for Hidden Markov Models (로그 우도 차이의 P-norm에 기반한 은닉 마르코프 파라미터 추정 알고리듬)

  • Yun, Sung-Rack;Yoo, Chang-D.
    • Proceedings of the IEEK Conference
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    • 2007.07a
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    • pp.307-308
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    • 2007
  • This paper proposes a discriminative training algorithm for estimating hidden Markov model (HMM) parameters. The proposed algorithm estimates the Parameters by minimizing the p-norm of log-likelihood difference (PLD) between the utterance probability given the correct transcription and the most competitive transcription.

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Valuation of American Option Prices Under the Double Exponential Jump Diffusion Model with a Markov Chain Approximation (이중 지수 점프확산 모형하에서의 마코브 체인을 이용한 아메리칸 옵션 가격 측정)

  • Han, Gyu-Sik
    • Journal of Korean Institute of Industrial Engineers
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    • v.38 no.4
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    • pp.249-253
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    • 2012
  • This paper suggests a numerical method for valuation of American options under the Kou model (double exponential jump diffusion model). The method is based on approximation of underlying asset price using a finite-state, time-homogeneous Markov chain. We examine the effectiveness of the proposed method with simulation results, which are compared with those from the conventional numerical method, the finite difference method for PIDE (partial integro-differential equation).

System Availability Analysis using Markov Process (Markov Process를 활용한 시스템 가용도 분석 연구)

  • Kim, Han Sol;Kim, Bo Hyeon;Hur, Jang Wook
    • Journal of the Korean Society of Systems Engineering
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    • v.14 no.1
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    • pp.36-43
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    • 2018
  • The availability of the weapon system can be analyzed through state modeling and simulation using the Markov process. In this paper, show how to analyze the availability of the weapon system and can use the Markov process to analyze the system's steady state as well as the RAM at a transient state in time. As a result of the availability analysis of tracked vehicles, the inherent availability was 2.6% and the operational availability was 1.2% The validity criterion was defined as the case where the difference was within 3%, and thus it was judged to be valid. We have identified the faulty items through graphs of the number of visits per state among the results obtained through the MPS and can use them to provide design alternatives.

Study on Demand Estimation of Agricultural Machinery by Using Logistic Curve Function and Markov Chain Model (로지스틱함수법 및 Markov 전이모형법을 이용한 농업기계의 수요예측에 관한 연구)

  • Yun Y. D.
    • Journal of Biosystems Engineering
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    • v.29 no.5 s.106
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    • pp.441-450
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    • 2004
  • This study was performed to estimate mid and long term demands of a tractor, a rice transplanter, a combine and a grain dryer by using logistic curve function and Markov chain model. Field survey was done to decide some parameters far logistic curve function and Markov chain model. Ceiling values of tractor and combine fer logistic curve function analysis were 209,280 and 85,607 respectively. Based on logistic curve function analysis, total number of tractors increased slightly during the period analysed. New demand for combine was found to be zero. Markov chain analysis was carried out with 2 scenarios. With the scenario 1(rice price $10\%$ down and current supporting policy by government), new demand for tractor was decreased gradually up to 700 unit in the year 2012. For combine, new demand was zero. Regardless of scenarios, the replacement demand was increased slightly after 2003. After then, the replacement demand is decreased after the certain time. Two analysis of logistic owe function and Markov chain model showed the similar trend in increase and decrease for total number of tractors and combines. However, the difference in numbers of tractors and combines between the results from 2 analysis got bigger as the time passed.

A Simulation for the Second Derivative of a Mean Busy Cycle in a Markov Renewal Process (마코르 리뉴얼 과정에서 평균 busy cycle의 2계도함수에 대한 시뮬레이션)

  • 박흥식
    • Proceedings of the Korea Society for Simulation Conference
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    • 1999.10a
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    • pp.294-298
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    • 1999
  • In this paper, through simulations, we find the second derivative SPA(Smoothed Perturbation Analysis) estimates of mean busy cycle with respect to a given parameter in a Markov renewal process which is generated by two exponential distributions. We compare these SPA estimates with the traditional SD(symetric difference) estimates.

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Efficient Markov Feature Extraction Method for Image Splicing Detection (접합영상 검출을 위한 효율적인 마코프 특징 추출 방법)

  • Han, Jong-Goo;Park, Tae-Hee;Eom, Il-Kyu
    • Journal of the Institute of Electronics and Information Engineers
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    • v.51 no.9
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    • pp.111-118
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    • 2014
  • This paper presents an efficient Markov feature extraction method for detecting splicing forged images. The Markov states used in our method are composed of the difference between DCT coefficients in the adjacent blocks. Various first-order Markov state transition probabilities are extracted as features for splicing detection. In addition, we propose a feature reduction algorithm by analysing the distribution of the Markov probability. After training the extracted feature vectors using the SVM classifier, we determine whether the presence of the image splicing forgery. Experimental results verify that the proposed method shows good detection performance with a smaller number of features compared to existing methods.

Statistical Characteristics of Pollutants in Sterm Flow (하천오염인자의 통계적 특성)

  • 황임구;윤태훈
    • Water for future
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    • v.14 no.4
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    • pp.19-26
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    • 1981
  • The auto-and cross-correlation function, power spectrum, coherence function and Markov model are applied to investigate the statistical characteristics of discharge and each factor of water quality and the interrelation-ship between the variation of discharge and water quality factors. The analysis of discharge, dissolved oxygen and electric conductivity, which were only obtainable data at the Indogyo gagining station in the downstream of the Han River, clearly showed that they hace distinct period of 12 months and three different periods of 6, 4 and 3 months weaker than the former. The cross-correlation between the discharge and water quality(DO, COND) is rather weak and the crosscorrelation function has its peak at lag one. It is considered therefrom that the variation of discharge behaves on water quality facotrs with one day's difference. In the examination of linear regression model for the serial generation and predictive measures, discharge series is fit to first and second order Markov model and DO, COND to first order Markov model.

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