Chapter 5. Conclusion
5.2. Future Work
5.2.1. Highest Degree
It has been shown that highest degree is strongly related to the optimized value of r.
The limitation of maximum degree in our experiment should be relaxed to allow higher values of the highest degree. More values of r should be also studied to confirm the relation between the highest degree and optimized value of r. Another more aggressive experiment could be optimizing the tabs of degree as well as probabilities of degree distributions.
5.2.2. Variation of Optimization results
Despite the fact that LT codes are randomized codes, evolution strategy itself contains the factor of randomness. We have seen that the results obtained from experiments with 7 tabs of degree are less consistent than corresponding results with 20 tabs of degree. Origin of this inconsistency should be further studied.
30
5.2.3. Applications of Optimized Degree Distributions
In this thesis, all optimized degree distributions are optimal only at particular ε, which implies that the degree distributions are not optimal at other ε. However, by changing the degree distribution during the process of transmission, the receiver can obtain optimal degree distributions at multiple points of ε.
31
References
[1] M.Luby, "LT Codes", The 43rd Annual IEEE Symposium on Foundations of Computer Science, pp.
271-280, Vancouver, BC, Canada, November 2002.
[2] Amin Shokrollahi, “Raptor Codes”, IEEE Transactions on Information Theory, Volume 52, Issue 6, pp.
2551-2567, June 2006.
[3] Richard Karp, Michael Luby, Amin Shokrollahi, “Finite length analysis of LT codes”, International Symposium on Information Theory, p. 39, Berkeley, Chicago, USA, June 2004.
[4] Esa Hyytiä, Tuomas Tirronen, Jorma Virtamo, “Optimizing the Degree Distribution of LT Codes with an Importance Sampling Approach”, 6th International Workshop on Rare Event Simulation, October 2006.
[5] Chih-Ming Chen, Ying-ping Chen, Tzu-Ching Shen and John K. Zao, “On the Optimization of Degree Distributions in LT Code with Covariance Matrix Adaptation Evolution Strategy”, IEEE Congress on Evolutionary Computation, pp.1-8, Barcelona, Spain, July 2010
Appendix
This appendix contains results of experiments with 20 tabs of degree and K equal to 1000, using NES algorithm. Meaning of each part of the result is explained as following.
The name of experiment consists of the parameters of experiment. In the following example, “r0.1_p0.01_e” means “optimizing ε with r = 0.1 and p = 0.01 ”.
“K1000_20tabs_NES” means “K = 1000, 20 tabs of degree, using NES algorithm”. The fitness value is the value of the optimized parameter, which is ε in this case. Note that when optimizing p or r, the fitness value is the log value of the parameter.
Degree distribution
Name of experiment and final fitness
Optimized value of r, ε and p
Histograms of Rε
Curves of failure probabilities Curves of failure ratios
32
r0_p0.0001_e_K1000_20tabs_NES Fitness value = 0.2
Degree Probability 1 4.143E-02 2 4.500E-01 3 1.677E-01 4 6.394E-02 5 2.366E-02 7 5.316E-02 8 5.814E-02 11 2.322E-02 16 4.858E-03 19 8.780E-03 23 3.354E-02 32 1.521E-02 41 1.513E-03 53 8.878E-03 64 1.013E-03 83 0.000E+00 101 7.905E-03 128 0.000E+00 163 0.000E+00 199 3.702E-02
r 0
ε 0.2
p 0.0001
1.E-6
Average r p=0.1 p=0.01 p=0.001 p=0.0001 p=0.9
1.E-6
r=0 r=0.001 r=0.01 r=0.1
0
Probabilities of Occurrence
ε
Histograms
0
Degree Distribution
1E-4 1E-3 1E-2 1E-1 1E+0
1E-4 1E-3 1E-2 1E-1 1E+0 p
r0_p0.001_e_K1000_20tabs_NES Fitness value = 0.184
Degree Probability 1 4.011E-02 2 4.485E-01 3 1.940E-01 4 4.423E-02 5 3.848E-02 7 3.368E-02 8 5.876E-02 11 2.475E-02 16 0.000E+00 19 3.440E-02 23 3.011E-02 32 0.000E+00 41 0.000E+00 53 1.290E-02 64 8.787E-03 83 0.000E+00 101 1.576E-03 128 0.000E+00 163 0.000E+00 199 2.978E-02
r 0
Average r p=0.1 p=0.01 p=0.001 p=0.0001 p=0.9
1.E-6
r=0 r=0.001 r=0.01 r=0.1
0
Probabilities of Occurrence
ε
Histograms
0
Degree Distribution
1E-4 1E-3 1E-2 1E-1 1E+0
1E-4 1E-3 1E-2 1E-1 1E+0 p
r0_p0.01_e_K1000_20tabs_NES Fitness value = 0.156
Degree Probability 1 3.451E-02 2 4.746E-01 3 1.302E-01 4 7.449E-02 5 8.570E-02 7 2.249E-02 8 4.692E-02 11 9.494E-03 16 2.400E-02 19 2.514E-02 23 1.247E-02 32 8.775E-04 41 2.698E-02 53 0.000E+00 64 0.000E+00 83 0.000E+00 101 1.121E-03 128 0.000E+00 163 4.377E-03 199 2.660E-02
r 0
Average r p=0.1 p=0.01 p=0.001 p=0.0001 p=0.9
1.E-6
r=0 r=0.001 r=0.01 r=0.1
0
Probabilities of Occurrence
ε
Histograms
0
Degree Distribution
1E-4 1E-3 1E-2 1E-1 1E+0
1E-4 1E-3 1E-2 1E-1 1E+0 p
r0_p0.1_e_K1000_20tabs_NES Fitness value = 0.12
Degree Probability 1 2.952E-02 2 4.739E-01 3 1.334E-01 4 1.263E-01 5 4.001E-02 7 1.051E-03 8 5.439E-02 11 3.829E-02 16 2.843E-02 19 1.703E-02 23 9.677E-03 32 9.940E-03 41 0.000E+00 53 4.432E-03 64 4.766E-03 83 0.000E+00 101 0.000E+00 128 4.644E-03 163 2.412E-02 199 3.331E-16
r 0
Average r p=0.1 p=0.01 p=0.001 p=0.0001 p=0.9
1.E-6
r=0 r=0.001 r=0.01 r=0.1
0
Probabilities of Occurrence
ε
Histograms
0
Degree Distribution
1E-4 1E-3 1E-2 1E-1 1E+0
1E-4 1E-3 1E-2 1E-1 1E+0 p
r0.001_p0.0001_e_K1000_20tabs_NES Fitness value = 0.183
Degree Probability 1 3.343E-02 2 4.851E-01 3 1.439E-01 4 2.601E-02 5 9.141E-02 7 4.880E-02 8 1.257E-02 11 5.827E-02 16 9.032E-03 19 1.263E-02 23 1.674E-02 32 1.960E-02 41 0.000E+00 53 1.195E-02 64 9.654E-04 83 8.517E-04 101 0.000E+00 128 0.000E+00 163 1.913E-02 199 9.586E-03
r 0.001
ε 0.183
p 0.0001
1.E-6
Average r p=0.1 p=0.01 p=0.001 p=0.0001 p=0.9
1.E-6
r=0 r=0.001 r=0.01 r=0.1
0
Probabilities of Occurrence
ε
Histograms
0
Degree Distribution
1E-4 1E-3 1E-2 1E-1 1E+0
1E-4 1E-3 1E-2 1E-1 1E+0 p
r0.001_p0.001_e_K1000_20tabs_NES Fitness value = 0.169
Degree Probability 1 3.133E-02 2 4.882E-01 3 1.315E-01 4 9.256E-02 5 2.652E-02 7 5.115E-02 8 3.706E-02 11 2.685E-02 16 3.512E-02 19 2.821E-03 23 2.342E-02 32 3.811E-03 41 1.358E-02 53 0.000E+00 64 7.534E-03 83 6.311E-03 101 9.733E-05 128 0.000E+00 163 3.061E-03 199 1.905E-02
r 0.001
Average r p=0.1 p=0.01 p=0.001 p=0.0001 p=0.9
1.E-6
r=0 r=0.001 r=0.01 r=0.1
0
Probabilities of Occurrence
ε
Histograms
0
Degree Distribution
1E-4 1E-3 1E-2 1E-1 1E+0
1E-4 1E-3 1E-2 1E-1 1E+0 p
r0.001_p0.01_e_K1000_20tabs_NES Fitness value = 0.145
Degree Probability 1 2.223E-02 2 5.178E-01 3 1.037E-01 4 9.478E-02 5 3.440E-02 7 3.521E-02 8 6.425E-02 11 2.754E-02 16 1.009E-02 19 1.685E-02 23 2.167E-02 32 5.154E-03 41 1.301E-02 53 1.405E-03 64 6.989E-03 83 1.818E-03 101 3.338E-03 128 9.162E-04 163 8.922E-03 199 9.875E-03
r 0.001
Average r p=0.1 p=0.01 p=0.001 p=0.0001 p=0.9
1.E-6
r=0 r=0.001 r=0.01 r=0.1
0
Probabilities of Occurrence
ε
Histograms
0
Degree Distribution
1E-4 1E-3 1E-2 1E-1 1E+0
1E-4 1E-3 1E-2 1E-1 1E+0 p
r0.001_p0.1_e_K1000_20tabs_NES Fitness value = 0.111
Degree Probability 1 2.560E-02 2 4.950E-01 3 1.188E-01 4 1.024E-01 5 5.508E-02 7 3.524E-02 8 4.434E-02 11 3.554E-02 16 0.000E+00 19 0.000E+00 23 5.155E-02 32 0.000E+00 41 1.127E-02 53 5.731E-03 64 0.000E+00 83 0.000E+00 101 0.000E+00 128 3.141E-04 163 1.915E-02 199 0.000E+00
r 0.001
Average r p=0.1 p=0.01 p=0.001 p=0.0001 p=0.9
1.E-6
r=0 r=0.001 r=0.01 r=0.1
0
Probabilities of Occurrence
ε
Histograms
0
Degree Distribution
1E-4 1E-3 1E-2 1E-1 1E+0
1E-4 1E-3 1E-2 1E-1 1E+0 p
r0.01_p0.0001_e_K1000_20tabs_NES Fitness value = 0.162
Degree Probability 1 3.352E-02 2 4.968E-01 3 1.382E-01 4 1.996E-02 5 1.437E-01 7 0.000E+00 8 3.903E-03 11 6.153E-02 16 5.073E-02 19 7.322E-03 23 0.000E+00 32 8.429E-03 41 0.000E+00 53 1.057E-02 64 2.531E-02 83 0.000E+00 101 0.000E+00 128 0.000E+00 163 0.000E+00 199 1.110E-16
r 0.01
ε 0.162
p 0.0001
1.E-6
Average r p=0.1 p=0.01 p=0.001 p=0.0001 p=0.9
1.E-6
r=0 r=0.001 r=0.01 r=0.1
0
Probabilities of Occurrence
ε
Histograms
0
Degree Distribution
1E-4 1E-3 1E-2 1E-1 1E+0
1E-4 1E-3 1E-2 1E-1 1E+0 p
r0.01_p0.001_e_K1000_20tabs_NES Fitness value = 0.152
Degree Probability 1 4.252E-02 2 4.651E-01 3 1.588E-01 4 8.580E-02 5 3.809E-02 7 5.573E-02 8 2.774E-02 11 2.177E-02 16 9.764E-03 19 1.479E-02 23 5.707E-02 32 0.000E+00 41 6.471E-04 53 1.222E-03 64 1.007E-02 83 0.000E+00 101 1.095E-02 128 0.000E+00 163 0.000E+00 199 1.110E-16
r 0.01
Average r p=0.1 p=0.01 p=0.001 p=0.0001 p=0.9
1.E-6
r=0 r=0.001 r=0.01 r=0.1
0
Probabilities of Occurrence
ε
Histograms
0
Degree Distribution
1E-4 1E-3 1E-2 1E-1 1E+0
1E-4 1E-3 1E-2 1E-1 1E+0 p
r0.01_p0.01_e_K1000_20tabs_NES Fitness value = 0.127
Degree Probability 1 2.704E-02 2 5.153E-01 3 1.166E-01 4 6.766E-02 5 6.213E-02 7 5.512E-02 8 2.949E-02 11 5.357E-02 16 9.541E-03 19 3.204E-03 23 9.765E-03 32 1.242E-02 41 2.079E-02 53 9.038E-03 64 7.172E-03 83 1.177E-03 101 0.000E+00 128 0.000E+00 163 0.000E+00 199 0.000E+00
r 0.01
Average r p=0.1 p=0.01 p=0.001 p=0.0001 p=0.9
1.E-6
r=0 r=0.001 r=0.01 r=0.1
0
Probabilities of Occurrence
ε
Histograms
0
Degree Distribution
1E-4 1E-3 1E-2 1E-1 1E+0
1E-4 1E-3 1E-2 1E-1 1E+0 p
r0.01_p0.1_e_K1000_20tabs_NES Fitness value = 0.096
Degree Probability 1 2.457E-02 2 5.020E-01 3 1.293E-01 4 9.955E-02 5 4.306E-02 7 3.207E-02 8 5.639E-02 11 4.400E-02 16 0.000E+00 19 2.751E-03 23 2.196E-02 32 7.080E-03 41 3.335E-02 53 0.000E+00 64 3.950E-03 83 0.000E+00 101 0.000E+00 128 0.000E+00 163 0.000E+00 199 2.220E-16
r 0.01
Average r p=0.1 p=0.01 p=0.001 p=0.0001 p=0.9
1.E-6
r=0 r=0.001 r=0.01 r=0.1
0
Probabilities of Occurrence
ε
Histograms
0
Degree Distribution
1E-4 1E-3 1E-2 1E-1 1E+0
1E-4 1E-3 1E-2 1E-1 1E+0 p
r0.1_p0.0001_e_K1000_20tabs_NES Fitness value = 0.078
Degree Probability 1 4.836E-02 2 4.869E-01 3 1.762E-01 4 9.263E-02 5 4.946E-02 7 3.497E-02 8 6.455E-02 11 4.482E-02 16 1.888E-03 19 0.000E+00 23 0.000E+00 32 0.000E+00 41 4.044E-05 53 3.122E-05 64 3.755E-05 83 3.698E-05 101 2.902E-05 128 4.004E-05 163 0.000E+00 199 1.110E-16
r 0.1
ε 0.078
p 0.0001
1.E-6
Average r p=0.1 p=0.01 p=0.001 p=0.0001 p=0.9
1.E-6
r=0 r=0.001 r=0.01 r=0.1
0
Probabilities of Occurrence
ε
Histograms
0
Degree Distribution
1E-4 1E-3 1E-2 1E-1 1E+0
1E-4 1E-3 1E-2 1E-1 1E+0 p
r0.1_p0.001_e_K1000_20tabs_NES Fitness value = 0.066
Degree Probability 1 3.656E-02 2 5.144E-01 3 1.952E-01 4 3.610E-02 5 6.840E-03 7 1.169E-01 8 9.402E-02 11 0.000E+00 16 0.000E+00 19 0.000E+00 23 0.000E+00 32 0.000E+00 41 0.000E+00 53 0.000E+00 64 0.000E+00 83 0.000E+00 101 0.000E+00 128 0.000E+00 163 0.000E+00 199 2.220E-16
r 0.1
Average r p=0.1 p=0.01 p=0.001 p=0.0001 p=0.9
1.E-6
r=0 r=0.001 r=0.01 r=0.1
0
Probabilities of Occurrence
ε
Histograms
0
Degree Distribution
1E-4 1E-3 1E-2 1E-1 1E+0
1E-4 1E-3 1E-2 1E-1 1E+0 p
r0.1_p0.01_e_K1000_20tabs_NES Fitness value = 0.048
Degree Probability 1 3.250E-02 2 5.139E-01 3 2.006E-01 4 3.096E-03 5 9.290E-02 7 1.155E-02 8 1.424E-01 11 3.114E-03 16 0.000E+00 19 0.000E+00 23 0.000E+00 32 0.000E+00 41 0.000E+00 53 0.000E+00 64 0.000E+00 83 0.000E+00 101 0.000E+00 128 0.000E+00 163 0.000E+00 199 0.000E+00
r 0.1
Average r p=0.1 p=0.01 p=0.001 p=0.0001 p=0.9
1.E-6
r=0 r=0.001 r=0.01 r=0.1
0
Probabilities of Occurrence
ε
Histograms
0
Degree Distribution
1E-4 1E-3 1E-2 1E-1 1E+0
1E-4 1E-3 1E-2 1E-1 1E+0 p
r0.1_p0.1_e_K1000_20tabs_NES Fitness value = 0.021
Degree Probability 1 2.618E-02 2 5.438E-01 3 1.062E-01 4 1.059E-01 5 7.128E-02 7 9.921E-02 8 4.636E-02 11 9.807E-04 16 0.000E+00 19 0.000E+00 23 0.000E+00 32 0.000E+00 41 0.000E+00 53 0.000E+00 64 0.000E+00 83 0.000E+00 101 0.000E+00 128 0.000E+00 163 0.000E+00 199 0.000E+00
r 0.1
Average r p=0.1 p=0.01 p=0.001 p=0.0001 p=0.9
1.E-6
r=0 r=0.001 r=0.01 r=0.1
0
Probabilities of Occurrence
ε
Histograms
0
Degree Distribution
1E-4 1E-3 1E-2 1E-1 1E+0
1E-4 1E-3 1E-2 1E-1 1E+0 p
r_p0.0001_e0.03_K1000_20tabs_NES Fitness value = -0.79
Degree Probability 1 5.765E-02 2 5.000E-01 3 1.777E-01 4 1.480E-01 5 9.635E-02 7 2.028E-02 8 0.000E+00 11 0.000E+00 16 0.000E+00 19 0.000E+00 23 0.000E+00 32 0.000E+00 41 0.000E+00 53 0.000E+00 64 0.000E+00 83 0.000E+00 101 0.000E+00 128 0.000E+00 163 0.000E+00 199 0.000E+00
r 0.162
ε 0.03
p 0.0001
1.E-6
Average r p=0.1 p=0.01 p=0.001 p=0.0001 p=0.9
1.E-6
r=0 r=0.001 r=0.01 r=0.1
0
Probabilities of Occurrence
ε
Histograms
0
Degree Distribution
1E-4 1E-3 1E-2 1E-1 1E+0
1E-4 1E-3 1E-2 1E-1 1E+0 p
r_p0.001_e0.03_K1000_20tabs_NES Fitness value = -0.824
Degree Probability 1 6.003E-02 2 4.588E-01 3 2.344E-01 4 1.057E-01 5 1.076E-01 7 3.356E-02 8 0.000E+00 11 0.000E+00 16 0.000E+00 19 0.000E+00 23 0.000E+00 32 0.000E+00 41 0.000E+00 53 0.000E+00 64 0.000E+00 83 0.000E+00 101 0.000E+00 128 0.000E+00 163 0.000E+00 199 1.110E-16
r 0.1499999
ε 0.03
Average r p=0.1 p=0.01 p=0.001 p=0.0001 p=0.9
1.E-6
r=0 r=0.001 r=0.01 r=0.1
0
Probabilities of Occurrence
ε
Histograms
0
Degree Distribution
1E-4 1E-3 1E-2 1E-1 1E+0
1E-4 1E-3 1E-2 1E-1 1E+0 p
r_p0.01_e0.03_K1000_20tabs_NES Fitness value = -0.896
Degree Probability 1 4.211E-02 2 5.246E-01 3 8.810E-02 4 1.635E-01 5 1.510E-01 7 2.697E-02 8 3.718E-03 11 0.000E+00 16 0.000E+00 19 0.000E+00 23 0.000E+00 32 0.000E+00 41 0.000E+00 53 0.000E+00 64 0.000E+00 83 0.000E+00 101 0.000E+00 128 0.000E+00 163 0.000E+00 199 1.110E-16
r 0.1270001
ε 0.03
Average r p=0.1 p=0.01 p=0.001 p=0.0001 p=0.9
1.E-6
r=0 r=0.001 r=0.01 r=0.1
0
Probabilities of Occurrence
ε
Histograms
0
Degree Distribution
1E-4 1E-3 1E-2 1E-1 1E+0
1E-4 1E-3 1E-2 1E-1 1E+0 p
r_p0.1_e0.03_K1000_20tabs_NES Fitness value = -1.065
Degree Probability 1 2.652E-02 2 5.268E-01 3 1.927E-01 4 0.000E+00 5 6.611E-02 7 6.650E-02 8 1.214E-01 11 0.000E+00 16 0.000E+00 19 0.000E+00 23 0.000E+00 32 0.000E+00 41 0.000E+00 53 0.000E+00 64 0.000E+00 83 0.000E+00 101 0.000E+00 128 0.000E+00 163 0.000E+00 199 0.000E+00
r 0.0860003
ε 0.03
Average r p=0.1 p=0.01 p=0.001 p=0.0001 p=0.9
1.E-6
r=0 r=0.001 r=0.01 r=0.1
0
Probabilities of Occurrence
ε
Histograms
0
Degree Distribution
1E-4 1E-3 1E-2 1E-1 1E+0
1E-4 1E-3 1E-2 1E-1 1E+0 p
r_p0.0001_e0.06_K1000_20tabs_NES Fitness value = -0.91
Degree Probability 1 5.333E-02 2 5.148E-01 3 9.445E-02 4 1.622E-01 5 7.406E-02 7 1.012E-01 8 0.000E+00 11 0.000E+00 16 0.000E+00 19 0.000E+00 23 0.000E+00 32 0.000E+00 41 0.000E+00 53 0.000E+00 64 0.000E+00 83 0.000E+00 101 0.000E+00 128 0.000E+00 163 0.000E+00 199 0.000E+00
r 0.123
ε 0.06
p 0.0001
1.E-6
Average r p=0.1 p=0.01 p=0.001 p=0.0001 p=0.9
1.E-6
r=0 r=0.001 r=0.01 r=0.1
0
Probabilities of Occurrence
ε
Histograms
0
Degree Distribution
1E-4 1E-3 1E-2 1E-1 1E+0
1E-4 1E-3 1E-2 1E-1 1E+0 p
r_p0.001_e0.06_K1000_20tabs_NES Fitness value = -0.955
Degree Probability 1 5.065E-02 2 5.166E-01 3 1.075E-01 4 9.286E-02 5 1.217E-01 7 5.648E-02 8 5.419E-02 11 0.000E+00 16 0.000E+00 19 0.000E+00 23 0.000E+00 32 0.000E+00 41 0.000E+00 53 0.000E+00 64 0.000E+00 83 0.000E+00 101 0.000E+00 128 0.000E+00 163 0.000E+00 199 1.110E-16
r 0.111
Average r p=0.1 p=0.01 p=0.001 p=0.0001 p=0.9
1.E-6
r=0 r=0.001 r=0.01 r=0.1
0
Probabilities of Occurrence
ε
Histograms
0
Degree Distribution
1E-4 1E-3 1E-2 1E-1 1E+0
1E-4 1E-3 1E-2 1E-1 1E+0 p
r_p0.01_e0.06_K1000_20tabs_NES Fitness value = -1.092
Degree Probability 1 2.446E-02 2 5.482E-01 3 1.474E-01 4 5.462E-02 5 0.000E+00 7 1.016E-01 8 1.238E-01 11 0.000E+00 16 0.000E+00 19 0.000E+00 23 0.000E+00 32 0.000E+00 41 0.000E+00 53 0.000E+00 64 0.000E+00 83 0.000E+00 101 0.000E+00 128 0.000E+00 163 0.000E+00 199 0.000E+00
r 0.0810009
ε 0.06
Average r p=0.1 p=0.01 p=0.001 p=0.0001 p=0.9
1.E-6
r=0 r=0.001 r=0.01 r=0.1
0
Probabilities of Occurrence
ε
Histograms
0
Degree Distribution
1E-4 1E-3 1E-2 1E-1 1E+0
1E-4 1E-3 1E-2 1E-1 1E+0 p
r_p0.1_e0.06_K1000_20tabs_NES Fitness value = -1.319
Degree Probability 1 2.256E-02 2 5.150E-01 3 1.539E-01 4 9.244E-02 5 5.484E-02 7 0.000E+00 8 2.191E-02 11 1.289E-01 16 0.000E+00 19 1.048E-02 23 0.000E+00 32 0.000E+00 41 0.000E+00 53 0.000E+00 64 0.000E+00 83 0.000E+00 101 0.000E+00 128 0.000E+00 163 0.000E+00 199 0.000E+00
r 0.0479999
ε 0.06
Average r p=0.1 p=0.01 p=0.001 p=0.0001 p=0.9
1.E-6
r=0 r=0.001 r=0.01 r=0.1
0
Probabilities of Occurrence
ε
Histograms
0
Degree Distribution
1E-4 1E-3 1E-2 1E-1 1E+0
1E-4 1E-3 1E-2 1E-1 1E+0 p
r_p0.0001_e0.1_K1000_20tabs_NES Fitness value = -1.155
Degree Probability 1 4.478E-02 2 5.256E-01 3 1.449E-01 4 1.833E-02 5 8.164E-02 7 0.000E+00 8 1.478E-01 11 3.457E-02 16 0.000E+00 19 0.000E+00 23 2.368E-03 32 0.000E+00 41 0.000E+00 53 0.000E+00 64 0.000E+00 83 0.000E+00 101 0.000E+00 128 0.000E+00 163 0.000E+00 199 0.000E+00
r 0.0700003
ε 0.1
p 0.0001
1.E-6
Average r p=0.1 p=0.01 p=0.001 p=0.0001 p=0.9
1.E-6
r=0 r=0.001 r=0.01 r=0.1
0
Probabilities of Occurrence
ε
Histograms
0
Degree Distribution
1E-4 1E-3 1E-2 1E-1 1E+0
1E-4 1E-3 1E-2 1E-1 1E+0 p
r_p0.001_e0.1_K1000_20tabs_NES Fitness value = -1.237
Degree Probability 1 3.945E-02 2 4.971E-01 3 1.897E-01 4 3.566E-02 5 3.240E-02 7 9.145E-02 8 0.000E+00 11 1.142E-01 16 0.000E+00 19 0.000E+00 23 0.000E+00 32 0.000E+00 41 0.000E+00 53 0.000E+00 64 0.000E+00 83 0.000E+00 101 0.000E+00 128 0.000E+00 163 0.000E+00 199 0.000E+00
r 0.0580003
ε 0.1
Average r p=0.1 p=0.01 p=0.001 p=0.0001 p=0.9
1.E-6
r=0 r=0.001 r=0.01 r=0.1
0
Probabilities of Occurrence
ε
Histograms
0
Degree Distribution
1E-4 1E-3 1E-2 1E-1 1E+0
1E-4 1E-3 1E-2 1E-1 1E+0 p
r_p0.01_e0.1_K1000_20tabs_NES Fitness value = -1.469
Degree Probability 1 3.057E-02 2 5.041E-01 3 1.760E-01 4 3.131E-02 5 4.892E-02 7 1.136E-01 8 2.765E-03 11 0.000E+00 16 6.174E-02 19 2.605E-02 23 4.880E-03 32 0.000E+00 41 0.000E+00 53 0.000E+00 64 0.000E+00 83 0.000E+00 101 0.000E+00 128 0.000E+00 163 0.000E+00 199 2.220E-16
r 0.0340001
ε 0.1
Average r p=0.1 p=0.01 p=0.001 p=0.0001 p=0.9
1.E-6
r=0 r=0.001 r=0.01 r=0.1
0
Probabilities of Occurrence
ε
Histograms
0
Degree Distribution
1E-4 1E-3 1E-2 1E-1 1E+0
1E-4 1E-3 1E-2 1E-1 1E+0 p
r_p0.1_e0.1_K1000_20tabs_NES Fitness value = -2.155
Degree Probability 1 1.685E-02 2 5.336E-01 3 8.266E-02 4 1.163E-01 5 4.317E-02 7 7.815E-02 8 3.107E-02 11 3.787E-03 16 3.377E-02 19 3.847E-03 23 1.619E-02 32 8.760E-03 41 0.000E+00 53 3.186E-02 64 0.000E+00 83 0.000E+00 101 0.000E+00 128 0.000E+00 163 0.000E+00 199 3.331E-16
r 0.007
Average r p=0.1 p=0.01 p=0.001 p=0.0001 p=0.9
1.E-6
r=0 r=0.001 r=0.01 r=0.1
0
Probabilities of Occurrence
ε
Histograms
0
Degree Distribution
1E-4 1E-3 1E-2 1E-1 1E+0
1E-4 1E-3 1E-2 1E-1 1E+0 p
r_p0.0001_e0.13_K1000_20tabs_NES Fitness value = -1.377
Degree Probability 1 4.138E-02 2 4.806E-01 3 2.080E-01 4 1.408E-02 5 4.769E-02 7 2.234E-02 8 5.435E-02 11 1.315E-01 16 0.000E+00 19 0.000E+00 23 0.000E+00 32 0.000E+00 41 0.000E+00 53 0.000E+00 64 0.000E+00 83 0.000E+00 101 0.000E+00 128 0.000E+00 163 0.000E+00 199 2.220E-16
r 0.0420001
ε 0.13
p 0.0001
1.E-6
Average r p=0.1 p=0.01 p=0.001 p=0.0001 p=0.9
1.E-6
r=0 r=0.001 r=0.01 r=0.1
0
Probabilities of Occurrence
ε
Histograms
0
Degree Distribution
1E-4 1E-3 1E-2 1E-1 1E+0
1E-4 1E-3 1E-2 1E-1 1E+0 p
r_p0.001_e0.13_K1000_20tabs_NES Fitness value = -1.569
Degree Probability 1 3.395E-02 2 5.075E-01 3 1.422E-01 4 7.315E-02 5 4.911E-02 7 5.271E-02 8 2.853E-02 11 0.000E+00 16 9.309E-02 19 1.976E-02 23 0.000E+00 32 0.000E+00 41 0.000E+00 53 0.000E+00 64 0.000E+00 83 0.000E+00 101 0.000E+00 128 0.000E+00 163 0.000E+00 199 2.220E-16
r 0.0269998
ε 0.13
Average r p=0.1 p=0.01 p=0.001 p=0.0001 p=0.9
1.E-6
r=0 r=0.001 r=0.01 r=0.1
0
Probabilities of Occurrence
ε
Histograms
0
Degree Distribution
1E-4 1E-3 1E-2 1E-1 1E+0
1E-4 1E-3 1E-2 1E-1 1E+0 p
r_p0.01_e0.13_K1000_20tabs_NES Fitness value = -2.097
Degree Probability 1 2.998E-02 2 4.965E-01 3 1.335E-01 4 7.696E-02 5 6.616E-02 7 3.625E-02 8 2.502E-02 11 5.574E-02 16 5.783E-03 19 1.800E-02 23 7.902E-03 32 4.786E-04 41 3.762E-02 53 0.000E+00 64 1.016E-02 83 0.000E+00 101 0.000E+00 128 0.000E+00 163 0.000E+00 199 0.000E+00
r 0.008
Average r p=0.1 p=0.01 p=0.001 p=0.0001 p=0.9
1.E-6
r=0 r=0.001 r=0.01 r=0.1
0
Probabilities of Occurrence
ε
Histograms
0
Degree Distribution
1E-4 1E-3 1E-2 1E-1 1E+0
1E-4 1E-3 1E-2 1E-1 1E+0 p
r_p0.1_e0.13_K1000_20tabs_NES Fitness value = -3.5
Degree Probability 1 2.323E-02 2 4.910E-01 3 1.743E-01 4 3.184E-02 5 2.174E-02 7 7.911E-02 8 7.337E-02 11 8.927E-04 16 0.000E+00 19 4.362E-02 23 1.874E-02 32 0.000E+00 41 0.000E+00 53 0.000E+00 64 0.000E+00 83 8.830E-03 101 1.048E-02 128 0.000E+00 163 2.283E-02 199 0.000E+00
r 0.0003162
ε 0.13
Average r p=0.1 p=0.01 p=0.001 p=0.0001 p=0.9
1.E-6
r=0 r=0.001 r=0.01 r=0.1
0
Probabilities of Occurrence
ε
Histograms
0
Degree Distribution
1E-4 1E-3 1E-2 1E-1 1E+0
1E-4 1E-3 1E-2 1E-1 1E+0 p
r_p0.0001_e0.16_K1000_20tabs_NES Fitness value = -1.854
Degree Probability 1 4.073E-02 2 4.854E-01 3 1.258E-01 4 9.674E-02 5 5.238E-02 7 2.533E-02 8 5.713E-02 11 0.000E+00 16 3.128E-02 19 4.684E-02 23 0.000E+00 32 2.467E-02 41 1.300E-03 53 8.697E-03 64 0.000E+00 83 3.758E-03 101 0.000E+00 128 0.000E+00 163 0.000E+00 199 1.110E-16
r 0.0140001
ε 0.16
p 0.0001
1.E-6
Average r p=0.1 p=0.01 p=0.001 p=0.0001 p=0.9
1.E-6
r=0 r=0.001 r=0.01 r=0.1
0
Probabilities of Occurrence
ε
Histograms
0
Degree Distribution
1E-4 1E-3 1E-2 1E-1 1E+0
1E-4 1E-3 1E-2 1E-1 1E+0 p
r_p0.001_e0.16_K1000_20tabs_NES Fitness value = -2.301
Degree Probability 1 2.793E-02 2 5.124E-01 3 1.005E-01 4 9.603E-02 5 5.692E-02 7 2.835E-02 8 5.068E-02 11 1.781E-02 16 4.751E-02 19 8.152E-03 23 6.756E-03 32 6.406E-03 41 3.380E-04 53 8.852E-05 64 3.480E-02 83 2.049E-04 101 7.358E-04 128 4.605E-04 163 3.895E-03 199 1.110E-16
r 0.005
Average r p=0.1 p=0.01 p=0.001 p=0.0001 p=0.9
1.E-6
r=0 r=0.001 r=0.01 r=0.1
0
Probabilities of Occurrence
ε
Histograms
0
Degree Distribution
1E-4 1E-3 1E-2 1E-1 1E+0
1E-4 1E-3 1E-2 1E-1 1E+0 p
r_p0.01_e0.16_K1000_20tabs_NES Fitness value = -3.5
Degree Probability 1 2.500E-02 2 4.859E-01 3 1.664E-01 4 4.095E-02 5 6.171E-02 7 3.942E-02 8 2.732E-02 11 5.556E-02 16 1.378E-02 19 1.944E-02 23 0.000E+00 32 0.000E+00 41 1.465E-02 53 2.203E-02 64 0.000E+00 83 0.000E+00 101 0.000E+00 128 0.000E+00 163 0.000E+00 199 2.786E-02
r 0.0003162
ε 0.16
Average r p=0.1 p=0.01 p=0.001 p=0.0001 p=0.9
1.E-6
r=0 r=0.001 r=0.01 r=0.1
0
Probabilities of Occurrence
ε
Histograms
0
Degree Distribution
1E-4 1E-3 1E-2 1E-1 1E+0
1E-4 1E-3 1E-2 1E-1 1E+0 p
r_p0.1_e0.16_K1000_20tabs_NES Fitness value = -3.5
Degree Probability 1 4.164E-02 2 4.628E-01 3 1.077E-01 4 7.589E-02 5 9.350E-02 7 4.381E-02 8 4.999E-02 11 2.285E-02 16 3.169E-04 19 3.011E-02 23 4.859E-03 32 3.202E-03 41 4.183E-03 53 6.639E-03 64 0.000E+00 83 6.693E-03 101 2.342E-03 128 3.643E-02 163 7.031E-03 199 0.000E+00
r 0.0003162
ε 0.16
Average r p=0.1 p=0.01 p=0.001 p=0.0001 p=0.9
1.E-6
r=0 r=0.001 r=0.01 r=0.1
0
Probabilities of Occurrence
ε
Histograms
0
Degree Distribution
1E-4 1E-3 1E-2 1E-1 1E+0
1E-4 1E-3 1E-2 1E-1 1E+0 p
r0_p_e0.03_K1000_20tabs_NES Fitness value = -5E-04
Degree Probability 1 2.258E-02 2 4.950E-01 3 1.611E-01 4 6.507E-02 5 8.061E-02 7 1.147E-02 8 6.479E-02 11 1.713E-02 16 1.034E-02 19 8.967E-03 23 3.149E-02 32 7.899E-03 41 7.684E-03 53 8.740E-04 64 2.290E-03 83 8.868E-04 101 0.000E+00 128 4.325E-03 163 2.002E-03 199 5.466E-03
r 0
ε 0.03
p 0.9988
1.E-6
Average r p=0.1 p=0.01 p=0.001 p=0.0001 p=0.9
1.E-6
r=0 r=0.001 r=0.01 r=0.1
0
Probabilities of Occurrence
ε
Histograms
0
Degree Distribution
1E-4 1E-3 1E-2 1E-1 1E+0
1E-4 1E-3 1E-2 1E-1 1E+0 p
r0_p_e0.06_K1000_20tabs_NES Fitness value = -0.075
Degree Probability 1 1.767E-02 2 4.985E-01 3 1.382E-01 4 8.759E-02 5 6.061E-02 7 4.253E-02 8 4.148E-02 11 2.777E-02 16 4.808E-03 19 2.962E-02 23 7.970E-03 32 1.288E-02 41 9.944E-03 53 8.603E-04 64 1.577E-03 83 6.152E-04 101 0.000E+00 128 2.821E-04 163 1.714E-02 199 2.220E-16
r 0
ε 0.06
p 0.8423
1.E-6
Average r p=0.1 p=0.01 p=0.001 p=0.0001 p=0.9
1.E-6
r=0 r=0.001 r=0.01 r=0.1
0
Probabilities of Occurrence
ε
Histograms
0
Degree Distribution
1E-4 1E-3 1E-2 1E-1 1E+0
1E-4 1E-3 1E-2 1E-1 1E+0 p
r0_p_e0.1_K1000_20tabs_NES Fitness value = -0.649
Degree Probability 1 2.277E-02 2 4.874E-01 3 1.476E-01 4 7.963E-02 5 6.373E-02 7 3.894E-02 8 2.882E-02 11 2.981E-02 16 3.074E-02 19 1.142E-02 23 7.225E-03 32 1.288E-02 41 1.537E-02 53 2.317E-03 64 0.000E+00 83 9.601E-04 101 0.000E+00 128 0.000E+00 163 1.011E-03 199 1.939E-02
r 0
ε 0.1
p 0.2242999
1.E-6
Average r p=0.1 p=0.01 p=0.001 p=0.0001 p=0.9
1.E-6
r=0 r=0.001 r=0.01 r=0.1
0
Probabilities of Occurrence
ε
Histograms
0
Degree Distribution
1E-4 1E-3 1E-2 1E-1 1E+0
1E-4 1E-3 1E-2 1E-1 1E+0 p
r0_p_e0.13_K1000_20tabs_NES Fitness value = -1.273
Degree Probability 1 2.439E-02 2 4.969E-01 3 1.327E-01 4 8.024E-02 5 4.014E-02 7 5.229E-02 8 4.640E-02 11 2.620E-02 16 2.095E-04 19 2.411E-02 23 2.406E-02 32 1.763E-02 41 9.245E-04 53 3.866E-03 64 0.000E+00 83 1.640E-04 101 0.000E+00 128 0.000E+00 163 2.984E-02 199 2.220E-16
r 0
ε 0.13
p 0.0533003
1.E-6
Average r p=0.1 p=0.01 p=0.001 p=0.0001 p=0.9
1.E-6
r=0 r=0.001 r=0.01 r=0.1
0
Probabilities of Occurrence
ε
Histograms
0
Degree Distribution
1E-4 1E-3 1E-2 1E-1 1E+0
1E-4 1E-3 1E-2 1E-1 1E+0 p
r0_p_e0.16_K1000_20tabs_NES Fitness value = -2.071
Degree Probability 1 2.948E-02 2 4.770E-01 3 1.701E-01 4 5.411E-02 5 3.417E-02 7 2.973E-02 8 6.821E-02 11 3.153E-02 16 1.133E-03 19 2.108E-02 23 2.805E-02 32 1.252E-02 41 0.000E+00 53 3.805E-03 64 4.336E-03 83 4.566E-04 101 9.121E-04 128 1.497E-03 163 2.578E-02 199 6.003E-03
r 0
ε 0.16
p 0.0085
1.E-6
Average r p=0.1 p=0.01 p=0.001 p=0.0001 p=0.9
1.E-6
r=0 r=0.001 r=0.01 r=0.1
0
Probabilities of Occurrence
ε
Histograms
0
Degree Distribution
1E-4 1E-3 1E-2 1E-1 1E+0
1E-4 1E-3 1E-2 1E-1 1E+0 p
r0.001_p_e0.03_K1000_20tabs_NES Fitness value = -3E-04
Degree Probability 1 1.509E-02 2 5.033E-01 3 1.321E-01 4 1.361E-01 5 1.685E-02 7 2.469E-02 8 6.388E-02 11 0.000E+00 16 8.806E-02 19 0.000E+00 23 0.000E+00 32 0.000E+00 41 0.000E+00 53 0.000E+00 64 0.000E+00 83 0.000E+00 101 0.000E+00 128 1.989E-02 163 0.000E+00 199 2.220E-16
r 0.001
ε 0.03
p 0.9992
1.E-6
Average r p=0.1 p=0.01 p=0.001 p=0.0001 p=0.9
1.E-6
r=0 r=0.001 r=0.01 r=0.1
0
Probabilities of Occurrence
ε
Histograms
0
Degree Distribution
1E-4 1E-3 1E-2 1E-1 1E+0
1E-4 1E-3 1E-2 1E-1 1E+0 p
r0.001_p_e0.06_K1000_20tabs_NES Fitness value = -0.077
Degree Probability 1 1.691E-02 2 4.906E-01 3 1.603E-01 4 8.345E-02 5 5.220E-02 7 3.991E-02 8 3.642E-02 11 3.517E-02 16 1.275E-02 19 8.605E-03 23 2.449E-02 32 5.769E-03 41 1.129E-02 53 4.821E-03 64 3.642E-04 83 7.684E-04 101 1.391E-03 128 8.639E-04 163 1.032E-03 199 1.287E-02
r 0.001
ε 0.06
p 0.8370999
1.E-6
Average r p=0.1 p=0.01 p=0.001 p=0.0001 p=0.9
1.E-6
r=0 r=0.001 r=0.01 r=0.1
0
Probabilities of Occurrence
ε
Histograms
0
Degree Distribution
1E-4 1E-3 1E-2 1E-1 1E+0
1E-4 1E-3 1E-2 1E-1 1E+0 p
r0.001_p_e0.1_K1000_20tabs_NES Fitness value = -0.62
Degree Probability 1 1.990E-02 2 5.065E-01 3 1.259E-01 4 8.689E-02 5 6.038E-02 7 2.148E-02 8 4.700E-02 11 3.143E-02 16 3.944E-02 19 8.718E-03 23 5.367E-03 32 3.237E-03 41 1.206E-02 53 5.711E-03 64 2.283E-03 83 2.693E-03 101 0.000E+00 128 3.633E-05 163 1.270E-02 199 8.275E-03
r 0.001
ε 0.1
p 0.2397999
1.E-6
Average r p=0.1 p=0.01 p=0.001 p=0.0001 p=0.9
1.E-6
r=0 r=0.001 r=0.01 r=0.1
0
Probabilities of Occurrence
ε
Histograms
0
Degree Distribution
1E-4 1E-3 1E-2 1E-1 1E+0
1E-4 1E-3 1E-2 1E-1 1E+0 p
r0.001_p_e0.13_K1000_20tabs_NES Fitness value = -1.313
Degree Probability 1 2.304E-02 2 4.938E-01 3 1.314E-01 4 9.247E-02 5 4.889E-02 7 5.440E-02 8 2.064E-02 11 1.716E-02 16 3.035E-02 19 2.389E-02 23 1.980E-02 32 5.614E-03 41 1.931E-03 53 6.150E-03 64 0.000E+00 83 0.000E+00 101 6.858E-03 128 2.321E-03 163 3.003E-04 199 2.095E-02
r 0.001
ε 0.13
p 0.0486004
1.E-6
Average r p=0.1 p=0.01 p=0.001 p=0.0001 p=0.9
1.E-6
r=0 r=0.001 r=0.01 r=0.1
0
Probabilities of Occurrence
ε
Histograms
0
Degree Distribution
1E-4 1E-3 1E-2 1E-1 1E+0
1E-4 1E-3 1E-2 1E-1 1E+0 p
r0.001_p_e0.16_K1000_20tabs_NES Fitness value = -2.155
Degree Probability 1 2.787E-02 2 4.841E-01 3 1.486E-01 4 6.688E-02 5 5.882E-02 7 2.861E-02 8 4.032E-02 11 2.806E-02 16 2.742E-02 19 8.606E-03 23 2.445E-02 32 1.107E-02 41 2.856E-03 53 5.376E-03 64 3.800E-03 83 2.319E-03 101 0.000E+00 128 4.830E-05 163 1.306E-02 199 1.770E-02
r 0.001
Average r p=0.1 p=0.01 p=0.001 p=0.0001 p=0.9
1.E-6
r=0 r=0.001 r=0.01 r=0.1
0
Probabilities of Occurrence
ε
Histograms
0
Degree Distribution
1E-4 1E-3 1E-2 1E-1 1E+0
1E-4 1E-3 1E-2 1E-1 1E+0 p
r0.01_p_e0.03_K1000_20tabs_NES Fitness value = -0.007
Degree Probability 1 1.718E-02 2 4.868E-01 3 1.798E-01 4 6.500E-02 5 5.628E-02 7 3.731E-02 8 8.095E-02 11 5.489E-03 16 0.000E+00 19 2.094E-02 23 2.304E-02 32 0.000E+00 41 2.721E-02 53 0.000E+00 64 0.000E+00 83 0.000E+00 101 0.000E+00 128 0.000E+00 163 0.000E+00 199 0.000E+00
r 0.01
Average r p=0.1 p=0.01 p=0.001 p=0.0001 p=0.9
1.E-6
r=0 r=0.001 r=0.01 r=0.1
0
Probabilities of Occurrence
ε
Histograms
0
Degree Distribution
1E-4 1E-3 1E-2 1E-1 1E+0
1E-4 1E-3 1E-2 1E-1 1E+0 p
r0.01_p_e0.06_K1000_20tabs_NES Fitness value = -0.226
Degree Probability 1 2.243E-02 2 4.861E-01 3 1.835E-01 4 6.810E-02 5 2.356E-02 7 7.448E-02 8 3.430E-02 11 4.457E-02 16 0.000E+00 19 1.117E-02 23 7.509E-03 32 1.139E-02 41 2.323E-02 53 9.651E-03 64 0.000E+00 83 0.000E+00 101 0.000E+00 128 0.000E+00 163 0.000E+00 199 3.331E-16
r 0.01
ε 0.06
p 0.5947001
1.E-6
Average r p=0.1 p=0.01 p=0.001 p=0.0001 p=0.9
1.E-6
r=0 r=0.001 r=0.01 r=0.1
0
Probabilities of Occurrence
ε
Histograms
0
Degree Distribution
1E-4 1E-3 1E-2 1E-1 1E+0
1E-4 1E-3 1E-2 1E-1 1E+0 p
r0.01_p_e0.1_K1000_20tabs_NES Fitness value = -1.092
Degree Probability 1 2.567E-02 2 4.991E-01 3 1.451E-01 4 5.599E-02 5 8.196E-02 7 5.241E-02 8 1.095E-02 11 5.573E-02 16 1.661E-02 19 3.693E-04 23 1.053E-04 32 1.848E-02 41 3.153E-02 53 6.036E-03 64 0.000E+00 83 0.000E+00 101 0.000E+00 128 0.000E+00 163 0.000E+00 199 0.000E+00
r 0.01
ε 0.1
p 0.0810009
1.E-6
Average r p=0.1 p=0.01 p=0.001 p=0.0001 p=0.9
1.E-6
r=0 r=0.001 r=0.01 r=0.1
0
Probabilities of Occurrence
ε
Histograms
0
Degree Distribution
1E-4 1E-3 1E-2 1E-1 1E+0
1E-4 1E-3 1E-2 1E-1 1E+0 p
r0.01_p_e0.13_K1000_20tabs_NES Fitness value = -2.097
Degree Probability 1 3.297E-02 2 4.786E-01 3 1.694E-01 4 7.025E-02 5 3.044E-02 7 7.480E-02 8 2.806E-02 11 1.474E-02 16 2.687E-02 19 2.876E-02 23 2.246E-03 32 1.682E-02 41 2.229E-03 53 1.191E-02 64 2.945E-03 83 8.971E-03 101 0.000E+00 128 0.000E+00 163 0.000E+00 199 0.000E+00
r 0.01
Average r p=0.1 p=0.01 p=0.001 p=0.0001 p=0.9
1.E-6
r=0 r=0.001 r=0.01 r=0.1
0
Probabilities of Occurrence
ε
Histograms
0
Degree Distribution
1E-4 1E-3 1E-2 1E-1 1E+0
1E-4 1E-3 1E-2 1E-1 1E+0 p
r0.01_p_e0.16_K1000_20tabs_NES Fitness value = -4
Degree Probability 1 3.036E-02 2 5.023E-01 3 1.426E-01 4 3.885E-02 5 7.408E-02 7 2.534E-02 8 6.790E-02 11 1.405E-02 16 3.559E-02 19 2.033E-02 23 0.000E+00 32 1.274E-02 41 6.816E-03 53 1.047E-02 64 1.860E-02 83 0.000E+00 101 0.000E+00 128 0.000E+00 163 0.000E+00 199 0.000E+00
r 0.01
ε 0.16
p 0.0001
1.E-6
Average r p=0.1 p=0.01 p=0.001 p=0.0001 p=0.9
1.E-6
r=0 r=0.001 r=0.01 r=0.1
0
Probabilities of Occurrence
ε
Histograms
0
Degree Distribution
1E-4 1E-3 1E-2 1E-1 1E+0
1E-4 1E-3 1E-2 1E-1 1E+0 p
r0.1_p_e0.03_K1000_20tabs_NES Fitness value = -1.351
Degree Probability 1 2.856E-02 2 5.383E-01 3 1.385E-01 4 5.614E-02 5 8.326E-02 7 9.136E-02 8 6.388E-02 11 0.000E+00 16 0.000E+00 19 0.000E+00 23 0.000E+00 32 0.000E+00 41 0.000E+00 53 0.000E+00 64 0.000E+00 83 0.000E+00 101 0.000E+00 128 0.000E+00 163 0.000E+00 199 0.000E+00
r 0.1
ε 0.03
p 0.0445995
1.E-6
Average r p=0.1 p=0.01 p=0.001 p=0.0001 p=0.9
1.E-6
r=0 r=0.001 r=0.01 r=0.1
0
Probabilities of Occurrence
ε
Histograms
0
Degree Distribution
1E-4 1E-3 1E-2 1E-1 1E+0
1E-4 1E-3 1E-2 1E-1 1E+0 p
r0.1_p_e0.06_K1000_20tabs_NES Fitness value = -2.721
Degree Probability 1 3.000E-02 2 5.211E-01 3 2.102E-01 4 1.965E-02 5 1.267E-02 7 1.393E-01 8 6.265E-02 11 4.443E-03 16 0.000E+00 19 0.000E+00 23 0.000E+00 32 0.000E+00 41 0.000E+00 53 0.000E+00 64 0.000E+00 83 0.000E+00 101 0.000E+00 128 0.000E+00 163 0.000E+00 199 0.000E+00
r 0.1
ε 0.06
p 0.0019
1.E-6
Average r p=0.1 p=0.01 p=0.001 p=0.0001 p=0.9
1.E-6
r=0 r=0.001 r=0.01 r=0.1
0
Probabilities of Occurrence
ε
Histograms
0
Degree Distribution
1E-4 1E-3 1E-2 1E-1 1E+0
1E-4 1E-3 1E-2 1E-1 1E+0 p
r0.1_p_e0.1_K1000_20tabs_NES Fitness value = -4.5
Degree Probability 1 4.605E-02 2 5.079E-01 3 1.625E-01 4 7.344E-02 5 4.466E-02 7 8.495E-02 8 6.833E-02 11 8.397E-03 16 3.784E-03 19 0.000E+00 23 0.000E+00 32 0.000E+00 41 0.000E+00 53 0.000E+00 64 0.000E+00 83 0.000E+00 101 0.000E+00 128 0.000E+00 163 0.000E+00 199 0.000E+00
r 0.1
ε 0.1
p 3.162E-05
1.E-6
Average r p=0.1 p=0.01 p=0.001 p=0.0001 p=0.9
1.E-6
r=0 r=0.001 r=0.01 r=0.1
0
Probabilities of Occurrence
ε
Histograms
0
Degree Distribution
1E-4 1E-3 1E-2 1E-1 1E+0
1E-4 1E-3 1E-2 1E-1 1E+0 p
r0.1_p_e0.13_K1000_20tabs_NES Fitness value = -4.5
Degree Probability 1 2.533E-02 2 5.410E-01 3 1.481E-01 4 2.175E-02 5 1.155E-01 7 6.108E-02 8 6.663E-02 11 0.000E+00 16 0.000E+00 19 1.033E-02 23 1.021E-02 32 0.000E+00 41 0.000E+00 53 0.000E+00 64 0.000E+00 83 0.000E+00 101 0.000E+00 128 0.000E+00 163 0.000E+00 199 0.000E+00
r 0.1
ε 0.13
p 3.162E-05
1.E-6
Average r p=0.1 p=0.01 p=0.001 p=0.0001 p=0.9
1.E-6
r=0 r=0.001 r=0.01 r=0.1
0
Probabilities of Occurrence
ε
Histograms
0
Degree Distribution
1E-4 1E-3 1E-2 1E-1 1E+0
1E-4 1E-3 1E-2 1E-1 1E+0 p
r0.1_p_e0.16_K1000_20tabs_NES Fitness value = -4.5
Degree Probability 1 2.306E-02 2 6.303E-01 3 8.212E-02 4 0.000E+00 5 1.135E-01 7 1.129E-01 8 9.479E-04 11 3.715E-02 16 0.000E+00 19 0.000E+00 23 0.000E+00 32 0.000E+00 41 0.000E+00 53 0.000E+00 64 0.000E+00 83 0.000E+00 101 0.000E+00 128 0.000E+00 163 0.000E+00 199 0.000E+00
r 0.1
ε 0.16
p 3.162E-05
1.E-6
Average r p=0.1 p=0.01 p=0.001 p=0.0001 p=0.9
1.E-6
r=0 r=0.001 r=0.01 r=0.1
0
Probabilities of Occurrence
ε
Histograms
0
Degree Distribution
1E-4 1E-3 1E-2 1E-1 1E+0
1E-4 1E-3 1E-2 1E-1 1E+0 p