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A new machine learning method so called Relevant Vector Machine (RVM) is an efficiently learning technique for classification and regression problems, including financial time series forecasting. One of the main advantages is that the model is treated by Bayesian approach and its functional form is identical to a powerful prediction tool Support Vector Machine. In this paper, we propose a new recurrent algorithm of the relevant vector machine to predict GARCH (1,1) based volatility of Shanghai composite index. The recurrent support vector machine, recurrent least square support vector machine and normal GARCH (1,1) models are also employed to make a comparison with the proposed model. Our empirical results show that the proposed approach generates superior forecasting performance

Predict GARCH Based Volatility of Shanghai Composite Index by Recurrent Relevant Vector Machines and Recurrent Least Square Support Vector Machines