Title :
A Class of Self-Stabilizing MCA Learning Algorithms
Author :
Mao Ye ; Xu-Qian Fan ; Xue Li
Author_Institution :
Sch. of Comput. Sci. & Eng., Univ. of Electron. Sci. & Technol. of China, Chengdu
Abstract :
In this letter, we propose a class of self-stabilizing learning algorithms for minor component analysis (MCA), which includes a few well-known MCA learning algorithms. Self-stabilizing means that the sign of the weight vector length change is independent of the presented input vector. For these algorithms, rigorous global convergence proof is given and the convergence rate is also discussed. By combining the positive properties of these algorithms, a new learning algorithm is proposed which can improve the performance. Simulations are employed to confirm our theoretical results
Keywords :
discrete time systems; learning (artificial intelligence); neural nets; statistical analysis; feature extraction; global convergence proof; minor component analysis; neural networks; self-stabilizing learning algorithms; Algorithm design and analysis; Convergence; Covariance matrix; Eigenvalues and eigenfunctions; Feature extraction; Independent component analysis; Neural networks; Signal processing algorithms; Statistical analysis; Surface fitting; Eigenvector; feature extraction; global convergence; minor component analysis; neural networks; Algorithms; Artificial Intelligence; Information Storage and Retrieval; Pattern Recognition, Automated; Principal Component Analysis;
Journal_Title :
Neural Networks, IEEE Transactions on
DOI :
10.1109/TNN.2006.880979