Extended AMUSE Algorithm and Novel Randomness Approach for BSS Model Aggregation with Methodology Remarks

In this paper we propose application of extended AMUSE blind signal separation method to improve a model prediction. In our approach we assume, that results generated by any regression model usually include both constructive and destructive components. In case of a few models, some of the components can be common to all of them. Our aim is to find the basis elements via AMUSE algorithm and distinguish the components with the constructive influence on the modelling quality from the destructive ones. We extend the standard AMUSE algorithm for cases with strong noises. The crucial question is to determine number of delays used in separation process and define criterion for destructive components identification. We propose novel method of randomness analysis to solve above problems. Due to complexity of the whole BSS aggregation method we include some methodological remarks as the framework for proposed approach.

[1]  Simon Haykin,et al.  Neural Networks: A Comprehensive Foundation , 1998 .

[2]  R. Clemen Combining forecasts: A review and annotated bibliography , 1989 .

[3]  Leo Breiman,et al.  Bagging Predictors , 1996, Machine Learning.

[4]  Ryszard Szupiluk,et al.  Model Improvement by the Statistical Decomposition , 2004, ICAISC.

[5]  H. E. Hurst,et al.  Long-Term Storage Capacity of Reservoirs , 1951 .

[6]  Andrzej Cichocki,et al.  Adaptive blind signal and image processing , 2002 .

[7]  Andrzej Cichocki,et al.  Early Detection of Alzheimer's Disease by Blind Source Separation, Time Frequency Representation, and Bump Modeling of EEG Signals , 2005, ICANN.

[8]  M. Taqqu,et al.  Stable Non-Gaussian Random Processes : Stochastic Models with Infinite Variance , 1995 .

[9]  E. Oja,et al.  Independent Component Analysis , 2013 .

[10]  Schuster,et al.  Separation of a mixture of independent signals using time delayed correlations. , 1994, Physical review letters.

[11]  B. Mandelbrot Multifractals And 1/F Noise , 1999 .

[12]  Lang Tong,et al.  Indeterminacy and identifiability of blind identification , 1991 .

[13]  Yuhong Yang Adaptive Regression by Mixing , 2001 .

[14]  J. Friedman Multivariate adaptive regression splines , 1990 .

[15]  Andrzej Cichocki,et al.  Second Order Nonstationary Source Separation , 2002, J. VLSI Signal Process..

[16]  Ryszard Szupiluk,et al.  The Noise Identification Method Based on Divergence Analysis in Ensemble Methods Context , 2011, ICANNGA.