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Self-Organizing Gaussian Mixture Map Based on Adaptive Recursive Bayesian Estimation


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Abstract

The paper presents a probabilistic clustering approach based on self-organizing learning algorithm and recursive Bayesian estimation. The model is built upon the principle that the market data space is multimodal and can be described by a mixture of Gaussian distributions. The model parameters are approximated by a stochastic recursive Bayesian learning: searches for the maximum a posterior solution at each step, stochastically updates model parameters using a dual-neighbourhood function with adaptive simulated annealing, and applies profile likelihood confidence interval to avoid prolonged learning. The proposed model is based on a number of pioneer works, such as Mixture Gaussian Autoregressive Model, Self-Organizing Mixture Map, and have some favoured attributes on its robust convergence and good generalization. The experimental results on both artificial and real market data show that the algorithm is a good alternative in measuring multimodal distribution.


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Total Pages: 10

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Published

Online Article

JOURNAL INFORMATION


ISSN PRINT: 1079-8587
ISSN ONLINE: 2326-005X
DOI PREFIX: 10.31209
10.1080/10798587 with T&F
IMPACT FACTOR: 0.652 (2017/2018)
Journal: 1995-Present




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