\(\mathcal {E}_{1^{\prime }}\sim \mathcal {E}_{2^{\prime }} \) | \(\mathcal {E}_{1^{\prime }}\sim \mathcal {E}_{3^{\prime }} \) | \(\mathcal {E}_{1^{\prime }}\sim \mathcal {E}_{4^{\prime }} \) | \(\mathcal {E}_{1^{\prime }}\sim \mathcal {E}_{5^{\prime }} \) | |||||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|
S | F | T | S | F | T | S | F | T | S | F | T | |
(a) L=0 (no initial data) | ||||||||||||
Optimal | 49.8 | 45.3 | 4.9 | 54.9 | 39.8 | 5.3 | 55.2 | 39.6 | 5.1 | 55.9 | 38.7 | 5.4 |
Approximate | 50.0 | 44.6 | 5.4 | 51.0 | 43.4 | 5.6 | 51.8 | 42.4 | 5.8 | 52.1 | 42.5 | 5.4 |
(b) L=10 | ||||||||||||
Optimal | 54.0 | 40.9 | 5.1 | 55.3 | 38.6 | 6.0 | 56.4 | 37.8 | 5.8 | 56.8 | 37.7 | 5.5 |
Approximate | 50.5 | 43.2 | 6.3 | 52.0 | 42.5 | 5.5 | 53 | 41.0 | 6.0 | 52.8 | 41.0 | 6.2 |
(c) L=20 | ||||||||||||
Optimal | 50.4 | 43.8 | 5.8 | 52.1 | 41.5 | 6.4 | 52.8 | 41.4 | 5.8 | 53.9 | 40.3 | 5.7 |
Approximate | 50.0 | 44.2 | 5.8 | 50.8 | 42.4 | 6.8 | 51.2 | 42.8 | 6.0 | 51.4 | 42.3 | 6.3 |
(d) L=50 | ||||||||||||
Optimal | 50.1 | 43.2 | 6.7 | 52.2 | 41.2 | 6.6 | 52.9 | 40.0 | 7.1 | 52.3 | 41.8 | 5.9 |
Approximate | 48.7 | 44.5 | 6.8 | 51.0 | 41.7 | 7.3 | 50.0 | 43.6 | 6.4 | 50.8 | 42.9 | 6.3 |