Title :
An RPCL-based approach for Markov model identification with unknown state number
Author :
Cheung, Yiu-Ming ; Xu, Lei
Author_Institution :
Dept. of Comput. Sci. & Eng., Chinese Univ. of Hong Kong, Shatin, China
Abstract :
This paper presents an alternative identification approach for the Markov model studied in Krishnamurthy and Moore (1993). Our approach estimates the state sequence and model parameters with the help of a clustering analysis by the rival penalized competitive learning (RPCL) algorithm (Xa 1996). Compared to the method in Krishnamurthy and Moore, this new approach not only extends the model from scalar states to multidimensional ones, but also makes the model identification with the correct number of states decided automatically. The experiments have shown that it works well.
Keywords :
Markov processes; parameter estimation; pattern clustering; unsupervized learning; Markov model identification; RPCL-based approach; clustering analysis; model parameters; multidimensional states; rival penalized competitive learning; scalar states; state number; state sequence; Algorithm design and analysis; Clustering algorithms; Convergence; Covariance matrix; Gaussian noise; Multidimensional signal processing; Multidimensional systems; Robustness; Signal processing algorithms; State estimation;
Journal_Title :
Signal Processing Letters, IEEE