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Table 10 

Statistics of 50 instances of a k-covering of n-POS from Le-Monde.

Experiment 5: k-covering of n-POS, corpus Le-Monde
n = 1 and k = 1
ASALamSCP
Covering size (POS) 537.70 ± 1.78 483.00 ± 0.00 482.68 ± 0.02 
Reduction rate relative to ASA (%)  –10.06 ± 0.00 –10.17 ± 0.00 
Covering size [min; max] [524; 552] [483; 483] [482.51; 482.87] 
Covering size Std. Dev. 6.64 0.08 
Sentence number 72.07 ± 0.51 60.65 ± 0.31 – 
Sentence length 7.46 ± 0.04 7.97 ± 0.03 – 
Time CPU (seconds) 2 ± 0 735 ± 25 – 
n = 1 and k = 5 
Covering size (POS) 2,659 ± 4 2,502 ± 0 2,492 ± 0 
Reduction rate relative to ASA (%)  –5.90 ± 0.11 –6.27 ± 0.09 
Covering size [min; max] [2,628; 2,682] [2,501; 2,505] [2,482; 2,493] 
Covering size Std. Dev. 12.42 1.11 1.85 
Sentence number 285.00 ± 0.82 238.91 ± 0.65 – 
Sentence length 9.33 ± 0.02 10.47 ± 0.02 – 
Time CPU (seconds) 5 ± 0 2,712 ± 162 – 
n = 2 and k = 1 
Covering size (POS) 77,022 ± 18 75,281 ± 1 75,192 ± 2 
Reduction rate relative to ASA (%)  –2.25 ± 0.02 –2.37 ± 0.02 
Covering size [min; max] [76,913; 77,187] [75,273; 75,297] [75,176; 75,220] 
Covering size Std. Dev. 63.33 3.44 8.26 
Sentence number 3,288.22 ± 1.48 3,120.89 ± 0.91 – 
Sentence length 23.42 ± 0.00 24.12 ± 0.00 – 
Time CPU (seconds) 175 ± 0 13,095 ± 881 – 
n = 2 and k = 5 
Covering size (POS) 281,532 ± 17 278,114 ± 5 277,497 ± 4 
Reduction rate relative to ASA (%)  –1.21 ± 0.00 –1.43 ± 0.00 
Covering size [min; max] [281,362; 281,652] [278,084; 278,152] [277,459; 277,524] 
Covering size Std. Dev. 72.09 15.27 14.33 
Sentence number 10,379.67 ± 1.67 10,034.96 ± 2.66 – 
Sentence length 27.12 ± 0.00 27.71 ± 0.00 – 
Time CPU (seconds) 2,863 ± 113 309,095 ± 901 – 
Experiment 5: k-covering of n-POS, corpus Le-Monde
n = 1 and k = 1
ASALamSCP
Covering size (POS) 537.70 ± 1.78 483.00 ± 0.00 482.68 ± 0.02 
Reduction rate relative to ASA (%)  –10.06 ± 0.00 –10.17 ± 0.00 
Covering size [min; max] [524; 552] [483; 483] [482.51; 482.87] 
Covering size Std. Dev. 6.64 0.08 
Sentence number 72.07 ± 0.51 60.65 ± 0.31 – 
Sentence length 7.46 ± 0.04 7.97 ± 0.03 – 
Time CPU (seconds) 2 ± 0 735 ± 25 – 
n = 1 and k = 5 
Covering size (POS) 2,659 ± 4 2,502 ± 0 2,492 ± 0 
Reduction rate relative to ASA (%)  –5.90 ± 0.11 –6.27 ± 0.09 
Covering size [min; max] [2,628; 2,682] [2,501; 2,505] [2,482; 2,493] 
Covering size Std. Dev. 12.42 1.11 1.85 
Sentence number 285.00 ± 0.82 238.91 ± 0.65 – 
Sentence length 9.33 ± 0.02 10.47 ± 0.02 – 
Time CPU (seconds) 5 ± 0 2,712 ± 162 – 
n = 2 and k = 1 
Covering size (POS) 77,022 ± 18 75,281 ± 1 75,192 ± 2 
Reduction rate relative to ASA (%)  –2.25 ± 0.02 –2.37 ± 0.02 
Covering size [min; max] [76,913; 77,187] [75,273; 75,297] [75,176; 75,220] 
Covering size Std. Dev. 63.33 3.44 8.26 
Sentence number 3,288.22 ± 1.48 3,120.89 ± 0.91 – 
Sentence length 23.42 ± 0.00 24.12 ± 0.00 – 
Time CPU (seconds) 175 ± 0 13,095 ± 881 – 
n = 2 and k = 5 
Covering size (POS) 281,532 ± 17 278,114 ± 5 277,497 ± 4 
Reduction rate relative to ASA (%)  –1.21 ± 0.00 –1.43 ± 0.00 
Covering size [min; max] [281,362; 281,652] [278,084; 278,152] [277,459; 277,524] 
Covering size Std. Dev. 72.09 15.27 14.33 
Sentence number 10,379.67 ± 1.67 10,034.96 ± 2.66 – 
Sentence length 27.12 ± 0.00 27.71 ± 0.00 – 
Time CPU (seconds) 2,863 ± 113 309,095 ± 901 – 
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