Table 2. Comparison of our heuristic rules for choosing initial parameter values k 1, r 1 and a 1 and optimal parameter values k*, r* and a* for the manufactured data.
Data (true area) | k-LoCoH | r-LoCoH | a-LoCoH | |||
k 1 | k* | r 1 | r* | a 1 | a* | |
A: 200 points | 14.1 | 13.5 (0.70) | 1.41 (0.18) | 2.37 (0.05) | 25.5 (0.04) | 24.9 (1.00) |
1000 points | 31.6 | 14.5 (0.42) | 0.56 (0.00) | 1.67 (0.06) | 25.7 (0.00) | 23.3 (0.84) |
B: 200 points | 14.1 | 11.9 (0.48) | 0.74 (0.08) | 1.51 (0.04) | 18.4 (0.12) | 15.5 (0.74) |
1000 points | 31.6 | 20.6 (0.60) | 0.57 (0.00) | 0.79 (0.00) | 19.6 (0.00) | 14.0 (0.23) |
C: 200 points | 14.1 | 12.7 (0.42) | 1.00 (0.03) | 3.10 (0.05) | 19.7 (0.03) | 24.4 (0.82) |
1000 points | 31.6 | 17.3 (0.27) | 0.46 (0.00) | 0.79 (0.03) | 19.9 (0.00) | 20.7 (0.59) |
Mean values are given with standard error in parentheses calculated over 15 different samplings of the data.