HAL Id: inria-00593254
https://hal.inria.fr/inria-00593254
Submitted on 13 May 2011
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A Regularization Approach to Fractional Dimension
Estimation
François Roueff, Jacques Lévy Véhel
To cite this version:
François Roueff, Jacques Lévy Véhel. A Regularization Approach to Fractional Dimension Estimation. Fractals 98, Oct 1998, Valleta, Malta. �inria-00593254�
0 200 400 600 800 1000 ï2 ï1.5 ï1 ï0.5 0 0.5 1 1.5 2 0 200 400 600 800 1000 ï6 ï4 ï2 0 2 4 6
ï0.5 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 ï6 ï5 ï4 ï3 ï2 ï1 0 1
0 1 2 3 4 5 6 ï1 ï0.8 ï0.6 ï0.4 ï0.2 0 Increments 6 log(L) Log(scale) 6 Log(L) ï1 0 1 2 3 4 5 6 ï6 ï5.5 ï5 ï4.5 ï4 ï3.5 Log(scale) Log(L)
1.3 1.4 1.5 1.6 1.7 1.8 1.9 2 2.1 2.2 2.3 ï1.5 ï1.4 ï1.3 ï1.2 ï1.1 ï1 ï0.9 ï0.8 Increments 6 log(L) Log(scale) 6 Log(L) 1.2 1.3 1.4 1.5 1.6 1.7 1.8 1.9 2 2.1 2.2 3.8 4 4.2 4.4 4.6 4.8 5 5.2 Log(scale) Log(L) regularization dimensions: 2.4183, 2.1346 0 50 100 150 200 250 0.4 0.6 0.8 1 1.2 1.4 1.6x 10 4 Aggregated traffic,T=200 0 50 100 150 200 250 ï0.2 ï0.15 ï0.1 ï0.05 0 0.05 0.1 0.15