Physics – Data Analysis – Statistics and Probability
Scientific paper
1997-12-17
Neural Networks,10 (1997) 1465-1471
Physics
Data Analysis, Statistics and Probability
11 pages Latex, 12 figures in a combined ps-file
Scientific paper
Principal component analysis (PCA) algorithms use neural networks to extract the eigenvectors of the correlation matrix from the data. However, if the process is non-Gaussian, PCA algorithms or their higher order generalisations provide only incomplete or misleading information on the statistical properties of the data. To handle such situations we propose neural network algorithms, with an hybrid (supervised and unsupervised) learning scheme, which constructs the characteristic function of the probability distribution and the transition functions of the stochastic process. Illustrative examples are presented, which include Cauchy and Levy-type processes
Dente Joaquim A.
Mendes Rui Vilela
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