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What is Transition Matrix

Emerging Technologies and Applications in Data Processing and Management
A Markov transition matrix is a square matrix describing the probabilities of moving from one state to another in a dynamic system. In each row are the probabilities of moving from the state represented by that row, to the other states. Thus, the rows of a Markov transition matrix each add to one.
Published in Chapter:
Prediction of Uncertain Spatiotemporal Data Based on XML Integrated With Markov Chain
Luyi Bai (Northeastern University, China), Nan Li (Northeastern University, China), Chengjia Sun (Northeastern University, China), and Yuan Zhao (Northeastern University, China)
DOI: 10.4018/978-1-5225-8446-9.ch008
Abstract
Since XML could benefit data management greatly and Markov chains have an advantage in data prediction, the authors study the methodology of predicting uncertain spatiotemporal data based on XML integrated with Markov chain. To accomplish this, first, the researchers devise an uncertain spatiotemporal data model based on XML. Then, the researchers put forward the method based on Markov chains to predict spatiotemporal data, which has taken the uncertainty into consideration. Next, the researchers apply the prediction method to meteorological field. Finally, the experimental results demonstrate the advantages the authors approach. Such a method of prediction could broaden the research field of spatiotemporal data, and provide a significant reference in the study of forecasting uncertain spatiotemporal data.
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