Title :
Optimization process for fractal dimension estimation
Author :
O´Brien, Frank ; Nguyen, Chung T. ; Hammel, Sherry E.
Author_Institution :
US Naval Undersea Warfare Center Div., Newport, RI, USA
fDate :
27 Jun-2 Jul 1994
Abstract :
An optimization process for estimating fractal dimension with the Grassberger-Procaccia correlation approach (1983) is derived in this paper. It has met with success in the estimation of dimensionality with the known attractors of Lorenz, Van Der Pol and Henon, as well as noisy time-series data. Future work will involve an attempt to employ an artificial neural network for the derived estimator
Keywords :
fractals; optimisation; time series; artificial neural network; fractal dimension estimation; noisy time-series data; optimization process; Artificial neural networks; Chaos; Convergence; Fractals; Least squares approximation; Linear regression; Measurement standards; Performance evaluation; Power measurement; State estimation;
Conference_Titel :
Neural Networks, 1994. IEEE World Congress on Computational Intelligence., 1994 IEEE International Conference on
Conference_Location :
Orlando, FL
Print_ISBN :
0-7803-1901-X
DOI :
10.1109/ICNN.1994.374743
