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Conference Papers Year : 1998

A Regularization Approach to Fractional Dimension Estimation


We propose a new way of evaluating the regularity of a graph of a function f. Our approach is based on measuring the growth rate of the lengths of less and less regularized versions of f. This leads to a new index, that we call regularization dimension, dim_R . We derive some analytical properties of dim_R and compare it with other fractional dimensions. A statistical estimator is derived, and numerical experiments are performed, which suggest that dim_R may be computed in a robust way. Finally, we apply the regularization dimension to the study of Ethernet traffic.
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inria-00593254 , version 1 (13-05-2011)


  • HAL Id : inria-00593254 , version 1


François Roueff, Jacques Lévy Véhel. A Regularization Approach to Fractional Dimension Estimation. Fractals 98, Oct 1998, Valleta, Malta. ⟨inria-00593254⟩
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