A Fast Iteration Method for Mixture Regression Problem ()
Abstract
In this paper, we propose a Fast Iteration Method for solving mixture regression problem, which can be treated as a model-based clustering. Compared to the EM algorithm, the proposed method is faster, more flexible and can solve mixture regression problem with different error distributions (i.e. Laplace and t distribution). Extensive numeric experiments show that our proposed method has better performance on randomly simulations and real data.
Share and Cite:
Lang, D. and Ye, W. (2015) A Fast Iteration Method for Mixture Regression Problem.
Journal of Applied Mathematics and Physics,
3, 1100-1107. doi:
10.4236/jamp.2015.39136.
Conflicts of Interest
The authors declare no conflicts of interest.
References
[1]
|
McLachlan, G. and Peel, D. (2004) Finite Mixture Models. John Wiley & Sons, Hoboken.
|
[2]
|
Fraley, C. and Raftery, A.E. (2002) Model-Based Clustering, Discriminant Analysis, and Density Estimation. American Statistical Association, 97, 611-631. http://dx.doi.org/10.1198/016214502760047131
|
[3]
|
Ingrassia, S., Minotti, S.C. and Punzoa, A. (2014) Model-Based Clustering via Linear Cluster-Weighted Models. Computational Statistics and Data Analysis, 71, 159-182. http://dx.doi.org/10.1016/j.csda.2013.02.012
|
[4]
|
Gaffney, S. and Smyth, P. (1999) Trajectory Clustering with Mixture Regression Model. Technical Report, No. 99-15.
|
[5]
|
Fraley, C. and Raftery, A.E. (1998) How Many Clusters? Which Clustering Method? Answers via Model-Based Cluster Analysis. The Computer Journal, 41, 578-588. http://dx.doi.org/10.1093/comjnl/41.8.578
|
[6]
|
Song, W.X., Yao, W.X. and Xing, Y.R. (2014) Robust Mixture Regression Model Fitting by Laplace Distribution. Computational Statistics and Data Analysis, 71, 128-137. http://dx.doi.org/10.1016/j.csda.2013.06.022
|
[7]
|
MacQueen, J.B. (1967) Some Methods for Classification and Analysis of Multivariate Observations. University of California Press, Oakland, 281-297.
|
[8]
|
Cohen, E. (1984) Some Effects of Inharmonic Partials on Interval Perception. Music Perception, 1, 323-349. http://dx.doi.org/10.2307/40285264
|
[9]
|
Rolf Turner Mixreg: Functions to Fit Mixtures of Regressions. R Package Version 0.0-5. http://CRAN.R-project.org/package=mixreg
|