Last dimension | Dimension = 2 | Next dimension
| Δ fopt f1, 2-D |
1e1 2.0 |
1e0 6.0 |
1e-1 6.0 |
1e-2 6.0 |
1e-3 6.0 |
1e-5 6.0 |
1e-7 6.0 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| PSAaLmC-CMA-ES Nishida | 6.2 (11) | 10 (10) | 21 (10) | 44 (17) | 59 (15) | 112 (28) | 187 (41) | 15/15 |
| PSAaLmD-CMA-ES Nishida | 5.4 (7) | 4.1 (4) | 9.1 (8) | 16 (9) | 26 (10) | 38 (12) | 55 (17) | 15/15 |
| PSAaSmC-CMA-ES Nishida | 3.8 (7) | 7.4 (7) | 21 (13) | 38 (20) | 62 (18) | 118 (27) | 197 (29) | 15/15 |
| PSAaSmD-CMA-ES Nishida | 6.6 (8) | 7.0 (6) | 14 (5) | 21 (10) | 46 (9) | 58 (12) | 74 (8) | 15/15 |
| Δ fopt f2, 2-D |
1e1 16 |
1e0 19 |
1e-1 25 |
1e-2 25 |
1e-3 26 |
1e-5 28 |
1e-7 29 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| PSAaLmC-CMA-ES Nishida | 22 (12) | 36 (17) | 39 (12) | 48 (5) | 52 (7) | 59 (5) | 71 (8) | 15/15 |
| PSAaLmD-CMA-ES Nishida | 39 (65) | 62 (96) | 53 (72) | 86 (96) | 85 (92) | 82 (85) | 83 (84) | 15/15 |
| PSAaSmC-CMA-ES Nishida | 18 (9) | 32 (14) | 37 (9) | 48 (5) | 53 (5) | 60 (4) | 73 (7) | 15/15 |
| PSAaSmD-CMA-ES Nishida | 82 (7) | 74 (7) | 76 (62) | 114 (279) | 115 (269) | 110 (250) | 143 (300) | 15/15 |
| Δ fopt f3, 2-D |
1e1 15 |
1e0 271 |
1e-1 445 |
1e-2 446 |
1e-3 450 |
1e-5 454 |
1e-7 464 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| PSAaLmC-CMA-ES Nishida | 5.3 (5) | 2.8 (2) | 9.0 (9) | 20 (27) | 26 (31) | 28 (30) | 28 (29) | 15/15 |
| PSAaLmD-CMA-ES Nishida | 33 (5) | 8.0 (11) | 10 (7) | 14 (9) | 15 (11) | 15 (11) | 15 (10) | 15/15 |
| PSAaSmC-CMA-ES Nishida | 6.4 (8) | 2.7 (3) | 6.1 (6) | 22 (20) | 24 (25) | 25 (24) | 25 (24) | 15/15 |
| PSAaSmD-CMA-ES Nishida | 11 (28) | 3.9 (4) | 7.4 (7) | 9.3 (8) | 10 (7) | 10 (7) | 10 (7) | 15/15 |
| Δ fopt f4, 2-D |
1e1 22 |
1e0 344 |
1e-1 459 |
1e-2 496 |
1e-3 523 |
1e-5 544 |
1e-7 566 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| PSAaLmC-CMA-ES Nishida | 6.2 (4) | 27 (31) | 146 (156) | 502 (515) | 940 (1189) | 911 (973) | 876 (1302) | 5/15 |
| PSAaLmD-CMA-ES Nishida | 4.7 (2) | 7.7 (9) | 39 (76) | 146 (253) | 141 (194) | 156 (187) | 150 (217) | 13/15 |
| PSAaSmC-CMA-ES Nishida | 5.0 (4) | 26 (37) | 111 (105) | 256 (247) | 392 (498) | 450 (396) | 433 (738) | 8/15 |
| PSAaSmD-CMA-ES Nishida | 5.4 (3) | 12 (15) | 41 (49) | 53 (46) | 50 (43) | 50 (42) | 48 (40) | 15/15 |
| Δ fopt f5, 2-D |
1e1 4.0 |
1e0 4.0 |
1e-1 4.0 |
1e-2 4.0 |
1e-3 4.0 |
1e-5 4.0 |
1e-7 4.0 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| PSAaLmC-CMA-ES Nishida | 10 (14) | 48 (44) | 54 (44) | 54 (44) | 54 (44) | 54 (44) | 54 (44) | 15/15 |
| PSAaLmD-CMA-ES Nishida | 4.1 (4) | 17 (19) | 19 (18) | 19 (18) | 19 (18) | 19 (18) | 19 (18) | 15/15 |
| PSAaSmC-CMA-ES Nishida | 18 (17) | 43 (36) | 49 (32) | 49 (33) | 49 (33) | 49 (33) | 49 (33) | 15/15 |
| PSAaSmD-CMA-ES Nishida | 6.5 (8) | 37 (58) | 47 (106) | 63 (110) | 80 (110) | 80 (110) | 80 (110) | 15/15 |
| Δ fopt f6, 2-D |
1e1 13 |
1e0 23 |
1e-1 41 |
1e-2 54 |
1e-3 67 |
1e-5 95 |
1e-7 124 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| PSAaLmC-CMA-ES Nishida | 4.7 (7) | 6.7 (8) | 12 (6) | 16 (3) | 17 (3) | 18 (2) | 19 (2) | 15/15 |
| PSAaLmD-CMA-ES Nishida | 4.0 (6) | 5.5 (3) | 4.5 (3) | 5.5 (1) | 6.0 (1) | 7.3 (1) | 7.1 (0.7) | 15/15 |
| PSAaSmC-CMA-ES Nishida | 4.2 (6) | 6.2 (6) | 10 (6) | 16 (3) | 16 (3) | 17 (4) | 19 (2) | 15/15 |
| PSAaSmD-CMA-ES Nishida | 5.3 (9) | 5.7 (6) | 5.0 (5) | 8.5 (12) | 8.4 (11) | 11 (12) | 18 (24) | 15/15 |
| Δ fopt f7, 2-D |
1e1 3.0 |
1e0 21 |
1e-1 60 |
1e-2 193 |
1e-3 217 |
1e-5 217 |
1e-7 241 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| PSAaLmC-CMA-ES Nishida | 16 (23) | 7.1 (9) | 6.2 (4) | 2.7 (0.9) | 2.6 (1) | 2.6 (1) | 2.4 (1) | 15/15 |
| PSAaLmD-CMA-ES Nishida | 5.1 (6) | 1.7 (2) | 2.0 (0.9) | 1.2 (1) | 1.1 (1.0) | 1.1 (1.0) | 1.1 (0.9) | 15/15 |
| PSAaSmC-CMA-ES Nishida | 7.0 (12) | 5.3 (5) | 4.0 (4) | 2.1 (1) | 2.5 (0.9) | 2.5 (0.9) | 2.6 (0.8) | 15/15 |
| PSAaSmD-CMA-ES Nishida | 5.3 (6) | 4.7 (8) | 4.0 (4) | 1.7 (2) | 1.6 (1) | 1.6 (1) | 1.5 (1) | 15/15 |
| Δ fopt f8, 2-D |
1e1 5.0 |
1e0 12 |
1e-1 37 |
1e-2 46 |
1e-3 86 |
1e-5 94 |
1e-7 112 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| PSAaLmC-CMA-ES Nishida | 8.9 (10) | 11 (7) | 20 (22) | 38 (31) | 27 (19) | 28 (16) | 27 (13) | 15/15 |
| PSAaLmD-CMA-ES Nishida | 5.8 (4) | 25 (18) | 45 (45) | 64 (102) | 60 (94) | 62 (97) | 54 (82) | 15/15 |
| PSAaSmC-CMA-ES Nishida | 12 (8) | 39 (27) | 38 (23) | 48 (24) | 30 (14) | 30 (11) | 28 (9) | 15/15 |
| PSAaSmD-CMA-ES Nishida | 5.3 (5) | 7.7 (10) | 17 (34) | 72 (75) | 45 (48) | 63 (105) | 54 (88) | 15/15 |
| Δ fopt f9, 2-D |
1e1 1 |
1e0 18 |
1e-1 30 |
1e-2 44 |
1e-3 68 |
1e-5 81 |
1e-7 92 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| PSAaLmC-CMA-ES Nishida | 38 (52) | 4.7 (4) | 18 (22) | 33 (28) | 30 (16) | 29 (12) | 28 (10) | 15/15 |
| PSAaLmD-CMA-ES Nishida | 34 (24) | 4.1 (3) | 23 (45) | 51 (103) | 63 (70) | 73 (87) | 71 (76) | 15/15 |
| PSAaSmC-CMA-ES Nishida | 31 (38) | 6.9 (7) | 32 (33) | 50 (24) | 38 (19) | 35 (18) | 33 (15) | 15/15 |
| PSAaSmD-CMA-ES Nishida | 23 (34) | 14 (4) | 46 (50) | 120 (97) | 109 (101) | 97 (85) | 86 (75) | 15/15 |
| Δ fopt f10, 2-D |
1e1 30 |
1e0 46 |
1e-1 54 |
1e-2 61 |
1e-3 68 |
1e-5 82 |
1e-7 98 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| PSAaLmC-CMA-ES Nishida | 14 (15) | 15 (11) | 18 (6) | 19 (3) | 19 (3) | 20 (2) | 21 (3) | 15/15 |
| PSAaLmD-CMA-ES Nishida | 8.6 (6) | 8.7 (5) | 18 (18) | 20 (22) | 23 (40) | 22 (40) | 20 (34) | 15/15 |
| PSAaSmC-CMA-ES Nishida | 13 (11) | 14 (8) | 17 (4) | 19 (2) | 19 (3) | 20 (3) | 21 (2) | 15/15 |
| PSAaSmD-CMA-ES Nishida | 8.8 (8) | 20 (27) | 34 (49) | 33 (50) | 32 (45) | 27 (37) | 24 (31) | 15/15 |
| Δ fopt f11, 2-D |
1e1 35 |
1e0 45 |
1e-1 50 |
1e-2 62 |
1e-3 67 |
1e-5 81 |
1e-7 97 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| PSAaLmC-CMA-ES Nishida | 12 (15) | 18 (10) | 20 (8) | 20 (5) | 20 (4) | 21 (1) | 22 (2) | 15/15 |
| PSAaLmD-CMA-ES Nishida | 8.6 (1) | 19 (46) | 19 (42) | 20 (38) | 19 (35) | 17 (29) | 15 (24) | 15/15 |
| PSAaSmC-CMA-ES Nishida | 13 (12) | 17 (13) | 21 (5) | 20 (4) | 20 (4) | 21 (3) | 21 (3) | 15/15 |
| PSAaSmD-CMA-ES Nishida | 8.3 (7) | 16 (21) | 19 (23) | 21 (23) | 24 (36) | 20 (30) | 18 (25) | 15/15 |
| Δ fopt f12, 2-D |
1e1 35 |
1e0 46 |
1e-1 75 |
1e-2 94 |
1e-3 105 |
1e-5 153 |
1e-7 195 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| PSAaLmC-CMA-ES Nishida | 9.4 (6) | 75 (146) | 108 (347) | 108 (342) | 109 (328) | 94 (260) | 81 (222) | 15/15 |
| PSAaLmD-CMA-ES Nishida | 16 (4) | 174 (111) | 113 (67) | 112 (113) | 102 (101) | 75 (69) | 60 (54) | 15/15 |
| PSAaSmC-CMA-ES Nishida | 9.4 (7) | 14 (6) | 40 (30) | 46 (46) | 48 (60) | 57 (131) | 87 (191) | 15/15 |
| PSAaSmD-CMA-ES Nishida | 206 (40) | 431 (1104) | 266 (678) | 214 (541) | 192 (484) | 133 (333) | 106 (261) | 15/15 |
| Δ fopt f13, 2-D |
1e1 23 |
1e0 35 |
1e-1 46 |
1e-2 60 |
1e-3 71 |
1e-5 95 |
1e-7 122 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| PSAaLmC-CMA-ES Nishida | 8.8 (10) | 15 (6) | 17 (4) | 18 (2) | 20 (3) | 21 (3) | 22 (1) | 15/15 |
| PSAaLmD-CMA-ES Nishida | 10 (10) | 12 (17) | 12 (18) | 14 (25) | 13 (21) | 12 (16) | 11 (12) | 15/15 |
| PSAaSmC-CMA-ES Nishida | 9.4 (10) | 13 (6) | 16 (5) | 17 (5) | 18 (3) | 22 (1) | 22 (2) | 15/15 |
| PSAaSmD-CMA-ES Nishida | 13 (9) | 19 (40) | 32 (39) | 26 (30) | 23 (29) | 20 (25) | 18 (19) | 15/15 |
| Δ fopt f14, 2-D |
1e1 1 |
1e0 7.0 |
1e-1 16 |
1e-2 24 |
1e-3 38 |
1e-5 67 |
1e-7 90 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| PSAaLmC-CMA-ES Nishida | 8.6 (8) | 11 (17) | 13 (9) | 16 (5) | 15 (4) | 18 (2) | 21 (3) | 15/15 |
| PSAaLmD-CMA-ES Nishida | 4.9 (3) | 2.6 (4) | 3.5 (2) | 5.4 (3) | 5.3 (2) | 5.7 (2) | 7.8 (2) | 15/15 |
| PSAaSmC-CMA-ES Nishida | 4.2 (6) | 7.3 (11) | 11 (9) | 14 (5) | 15 (5) | 18 (3) | 21 (2) | 15/15 |
| PSAaSmD-CMA-ES Nishida | 5.2 (6) | 3.8 (4) | 4.5 (3) | 5.7 (2) | 5.3 (1) | 5.2 (1.0) | 13 (15) | 15/15 |
| Δ fopt f15, 2-D |
1e1 37 |
1e0 291 |
1e-1 1033 |
1e-2 1066 |
1e-3 1113 |
1e-5 1231 |
1e-7 1412 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| PSAaLmC-CMA-ES Nishida | 2.1 (1) | 3.4 (3) | 1.9 (1) | 3.5 (3) | 3.7 (3) | 4.0 (3) | 3.8 (2) | 15/15 |
| PSAaLmD-CMA-ES Nishida | 1.1 (0.9) | 1.4 (0.9) | 1.5 (2) | 2.1 (3) | 2.0 (3) | 2.1 (2) | 1.9 (2) | 15/15 |
| PSAaSmC-CMA-ES Nishida | 2.3 (2) | 2.3 (2) | 2.1 (2) | 4.1 (3) | 4.4 (3) | 4.6 (3) | 4.2 (3) | 15/15 |
| PSAaSmD-CMA-ES Nishida | 1.4 (1) | 6.3 (11) | 2.9 (4) | 3.8 (5) | 3.8 (5) | 3.5 (4) | 3.1 (4) | 15/15 |
| Δ fopt f16, 2-D |
1e1 9.0 |
1e0 50 |
1e-1 174 |
1e-2 326 |
1e-3 358 |
1e-5 409 |
1e-7 538 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| PSAaLmC-CMA-ES Nishida | 2.4 (4) | 4.9 (5) | 15 (15) | 31 (39) | 63 (101) | 100 (124) | 77 (94) | 14/15 |
| PSAaLmD-CMA-ES Nishida | 2.8 (2) | 5.6 (8) | 6.5 (9) | 14 (8) | 35 (35) | 37 (38) | 39 (29) | 14/15 |
| PSAaSmC-CMA-ES Nishida | 2.1 (2) | 5.1 (4) | 10 (17) | 37 (70) | 49 (96) | 48 (90) | 37 (68) | 15/15 |
| PSAaSmD-CMA-ES Nishida | 2.5 (3) | 6.6 (7) | 3.5 (4) | 4.8 (5) | 7.8 (10) | 12 (20) | 9.4 (15) | 15/15 |
| Δ fopt f17, 2-D |
1e1 3.0 |
1e0 61 |
1e-1 133 |
1e-2 275 |
1e-3 396 |
1e-5 1086 |
1e-7 1657 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| PSAaLmC-CMA-ES Nishida | 4.1 (6) | 3.3 (3) | 4.5 (2) | 3.6 (1.0) | 4.1 (0.7) | 2.9 (0.4) | 3.0 (0.4) | 15/15 |
| PSAaLmD-CMA-ES Nishida | 13 (10) | 4.0 (6) | 2.7 (3) | 1.7 (2) | 1.7 (1) | 1.3 (0.8) | 1.3 (0.9) | 15/15 |
| PSAaSmC-CMA-ES Nishida | 3.6 (4) | 4.3 (3) | 4.3 (2) | 4.1 (0.7) | 4.2 (0.6) | 2.7 (0.5) | 3.0 (0.6) | 15/15 |
| PSAaSmD-CMA-ES Nishida | 4.6 (5) | 6.7 (9) | 7.2 (10) | 4.3 (5) | 3.8 (4) | 3.2 (3) | 2.8 (2) | 15/15 |
| Δ fopt f18, 2-D |
1e1 19 |
1e0 134 |
1e-1 666 |
1e-2 1249 |
1e-3 1708 |
1e-5 2438 |
1e-7 2858 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| PSAaLmC-CMA-ES Nishida | 3.3 (3) | 5.7 (3) | 1.9 (0.6) | 1.5 (0.2) | 1.5 (0.2) | 1.6 (0.3) | 2.0 (0.4) | 15/15 |
| PSAaLmD-CMA-ES Nishida | 2.2 (3) | 8.9 (12) | 2.1 (3) | 1.4 (1) | 1.5 (1) | 1.6 (1) | 1.6 (1) | 15/15 |
| PSAaSmC-CMA-ES Nishida | 4.2 (6) | 5.2 (4) | 1.6 (0.6) | 1.4 (0.3) | 1.4 (0.2) | 1.5 (0.3) | 2.0 (0.5) | 15/15 |
| PSAaSmD-CMA-ES Nishida | 2.0 (2) | 5.5 (8) | 2.1 (2) | 1.3 (1) | 1.3 (1) | 2.6 (2) | 2.9 (3) | 15/15 |
| Δ fopt f19, 2-D |
1e1 1 |
1e0 1 |
1e-1 26 |
1e-2 216 |
1e-3 227 |
1e-5 252 |
1e-7 276 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| PSAaLmC-CMA-ES Nishida | 6.5 (8) | 58 (68) | 8.1 (13) | 13 (10) | 43 (41) | 69 (82) | 69 (73) | 15/15 |
| PSAaLmD-CMA-ES Nishida | 4.3 (6) | 53 (32) | 11 (21) | 31 (48) | 41 (47) | 51 (52) | 51 (60) | 15/15 |
| PSAaSmC-CMA-ES Nishida | 8.5 (8) | 57 (45) | 7.9 (5) | 47 (51) | 49 (50) | 76 (206) | 80 (183) | 15/15 |
| PSAaSmD-CMA-ES Nishida | 5.0 (6) | 34 (32) | 16 (13) | 177 (286) | 170 (272) | 256 (347) | 282 (354) | 14/15 |
| Δ fopt f20, 2-D |
1e1 4.0 |
1e0 61 |
1e-1 365 |
1e-2 366 |
1e-3 366 |
1e-5 370 |
1e-7 375 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| PSAaLmC-CMA-ES Nishida | 7.3 (12) | 8.3 (7) | 11 (13) | 19 (18) | 21 (17) | 22 (17) | 22 (17) | 15/15 |
| PSAaLmD-CMA-ES Nishida | 3.7 (4) | 9.1 (10) | 14 (17) | 18 (18) | 18 (18) | 19 (21) | 20 (21) | 15/15 |
| PSAaSmC-CMA-ES Nishida | 4.3 (6) | 7.5 (6) | 15 (15) | 24 (25) | 25 (25) | 26 (24) | 27 (24) | 15/15 |
| PSAaSmD-CMA-ES Nishida | 1.7 (2) | 16 (16) | 14 (17) | 17 (16) | 17 (16) | 18 (16) | 19 (16) | 15/15 |
| Δ fopt f21, 2-D |
1e1 2.0 |
1e0 51 |
1e-1 174 |
1e-2 276 |
1e-3 290 |
1e-5 324 |
1e-7 330 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| PSAaLmC-CMA-ES Nishida | 0.93 (0.8) | 3.1 (3) | 12 (21) | 8.0 (13) | 11 (17) | 11 (15) | 12 (15) | 15/15 |
| PSAaLmD-CMA-ES Nishida | 1.4 (1) | 14 (15) | 6.6 (6) | 4.4 (4) | 4.3 (4) | 4.2 (3) | 4.2 (3) | 15/15 |
| PSAaSmC-CMA-ES Nishida | 1.7 (2) | 16 (31) | 16 (27) | 11 (17) | 12 (22) | 14 (21) | 17 (22) | 15/15 |
| PSAaSmD-CMA-ES Nishida | 0.73 (0.2) | 17 (15) | 7.9 (15) | 6.3 (11) | 6.7 (10) | 6.3 (9) | 6.3 (9) | 15/15 |
| Δ fopt f22, 2-D |
1e1 5.0 |
1e0 27 |
1e-1 168 |
1e-2 218 |
1e-3 249 |
1e-5 289 |
1e-7 306 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| PSAaLmC-CMA-ES Nishida | 2.3 (3) | 17 (56) | 10 (16) | 22 (18) | 22 (16) | 21 (14) | 24 (28) | 15/15 |
| PSAaLmD-CMA-ES Nishida | 3.1 (4) | 29 (58) | 10 (13) | 8.5 (10) | 8.5 (9) | 8.4 (10) | 8.1 (10) | 15/15 |
| PSAaSmC-CMA-ES Nishida | 2.6 (2) | 15 (42) | 9.4 (16) | 33 (43) | 32 (38) | 38 (82) | 38 (77) | 15/15 |
| PSAaSmD-CMA-ES Nishida | 12 (2) | 9.1 (15) | 4.8 (9) | 5.6 (9) | 5.1 (7) | 4.7 (6) | 5.9 (7) | 15/15 |
| Δ fopt f23, 2-D |
1e1 8.0 |
1e0 193 |
1e-1 234 |
1e-2 263 |
1e-3 299 |
1e-5 348 |
1e-7 379 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| PSAaLmC-CMA-ES Nishida | 2.2 (2) | 14 (12) | 5741 (6242) | ∞ | ∞ | ∞ | ∞2e5 | 0/15 |
| PSAaLmD-CMA-ES Nishida | 1.8 (2) | 47 (21) | 1074 (1082) | ∞ | ∞ | ∞ | ∞2e5 | 0/15 |
| PSAaSmC-CMA-ES Nishida | 2.4 (3) | 20 (21) | 1171 (1375) | ∞ | ∞ | ∞ | ∞2e5 | 0/15 |
| PSAaSmD-CMA-ES Nishida | 2.6 (2) | 7.9 (11) | 1082 (846) | 1.1e4 (2e4) | 9721 (1e4) | 8352 (1e4) | ∞2e5 | 0/15 |
| Δ fopt f24, 2-D |
1e1 18 |
1e0 857 |
1e-1 8515 |
1e-2 23399 |
1e-3 24113 |
1e-5 24721 |
1e-7 24721 |
#succ 5/15 |
|---|---|---|---|---|---|---|---|---|
| PSAaLmC-CMA-ES Nishida | 1.7 (2) | 183 (294) | 25 (36) | 10 (12) | 36 (46) | 116 (149) | 116 (96) | 1/15 |
| PSAaLmD-CMA-ES Nishida | 1.6 (1) | 212 (327) | 23 (24) | 11 (11) | 38 (45) | 57 (80) | 118 (164) | 1/15 |
| PSAaSmC-CMA-ES Nishida | 1.7 (2) | 355 (355) | 44 (68) | 17 (13) | 26 (47) | 26 (28) | 26 (40) | 4/15 |
| PSAaSmD-CMA-ES Nishida | 1.6 (2) | 148 (121) | 20 (19) | 21 (21) | 37 (27) | 123 (111) | 123 (159) | 1/15 |
Previous dimension | Dimension = 3 | Next dimension
| Δ fopt f1, 3-D |
1e1 4.0 |
1e0 8.0 |
1e-1 8.0 |
1e-2 8.0 |
1e-3 8.0 |
1e-5 8.0 |
1e-7 8.0 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| PSAaLmC-CMA-ES Nishida | 15 (17) | 17 (12) | 37 (16) | 59 (15) | 82 (22) | 143 (32) | 215 (24) | 15/15 |
| PSAaLmD-CMA-ES Nishida | 8.0 (9) | 10 (7) | 18 (8) | 29 (7) | 38 (7) | 65 (9) | 88 (13) | 15/15 |
| PSAaSmC-CMA-ES Nishida | 13 (17) | 18 (12) | 38 (16) | 58 (22) | 80 (20) | 142 (24) | 220 (23) | 15/15 |
| PSAaSmD-CMA-ES Nishida | 6.0 (6) | 10 (5) | 18 (4) | 27 (7) | 39 (6) | 57 (9) | 79 (12) | 15/15 |
| Δ fopt f2, 3-D |
1e1 38 |
1e0 42 |
1e-1 43 |
1e-2 44 |
1e-3 45 |
1e-5 47 |
1e-7 48 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| PSAaLmC-CMA-ES Nishida | 28 (16) | 35 (13) | 39 (10) | 43 (9) | 46 (9) | 54 (9) | 64 (7) | 15/15 |
| PSAaLmD-CMA-ES Nishida | 79 (174) | 120 (160) | 221 (212) | 218 (207) | 215 (202) | 210 (192) | 210 (190) | 15/15 |
| PSAaSmC-CMA-ES Nishida | 29 (11) | 35 (10) | 39 (10) | 42 (7) | 45 (8) | 53 (6) | 63 (5) | 15/15 |
| PSAaSmD-CMA-ES Nishida | 40 (91) | 76 (117) | 111 (116) | 121 (141) | 147 (149) | 144 (143) | 144 (140) | 15/15 |
| Δ fopt f3, 3-D |
1e1 38 |
1e0 822 |
1e-1 830 |
1e-2 835 |
1e-3 842 |
1e-5 847 |
1e-7 853 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| PSAaLmC-CMA-ES Nishida | 8.8 (4) | 7.9 (5) | 24 (22) | 50 (58) | 50 (57) | 50 (57) | 51 (56) | 15/15 |
| PSAaLmD-CMA-ES Nishida | 7.0 (6) | 18 (10) | 48 (43) | 83 (129) | 92 (128) | 92 (127) | 91 (126) | 14/15 |
| PSAaSmC-CMA-ES Nishida | 7.2 (7) | 17 (20) | 64 (84) | 68 (83) | 69 (82) | 69 (82) | 69 (81) | 15/15 |
| PSAaSmD-CMA-ES Nishida | 10 (16) | 7.5 (9) | 23 (25) | 25 (25) | 25 (25) | 25 (25) | 25 (24) | 15/15 |
| Δ fopt f4, 3-D |
1e1 40 |
1e0 808 |
1e-1 866 |
1e-2 921 |
1e-3 952 |
1e-5 1015 |
1e-7 1044 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| PSAaLmC-CMA-ES Nishida | 19 (5) | 411 (437) | ∞ | ∞ | ∞ | ∞ | ∞3e5 | 0/15 |
| PSAaLmD-CMA-ES Nishida | 13 (4) | 116 (160) | 1587 (2273) | 2240 (3052) | 2167 (2581) | 2033 (2221) | 1976 (1707) | 2/15 |
| PSAaSmC-CMA-ES Nishida | 11 (4) | 543 (445) | ∞ | ∞ | ∞ | ∞ | ∞3e5 | 0/15 |
| PSAaSmD-CMA-ES Nishida | 12 (23) | 40 (60) | 755 (820) | 710 (764) | 698 (692) | 655 (682) | 637 (973) | 5/15 |
| Δ fopt f5, 3-D |
1e1 7.0 |
1e0 7.0 |
1e-1 7.0 |
1e-2 7.0 |
1e-3 7.0 |
1e-5 7.0 |
1e-7 7.0 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| PSAaLmC-CMA-ES Nishida | 17 (16) | 37 (25) | 39 (28) | 39 (28) | 39 (28) | 39 (28) | 39 (28) | 15/15 |
| PSAaLmD-CMA-ES Nishida | 10 (6) | 20 (11) | 21 (10) | 21 (10) | 21 (10) | 21 (10) | 21 (10) | 15/15 |
| PSAaSmC-CMA-ES Nishida | 15 (18) | 39 (34) | 42 (36) | 42 (36) | 42 (36) | 43 (36) | 43 (36) | 15/15 |
| PSAaSmD-CMA-ES Nishida | 12 (14) | 23 (22) | 24 (22) | 24 (22) | 24 (22) | 24 (22) | 24 (22) | 15/15 |
| Δ fopt f6, 3-D |
1e1 34 |
1e0 56 |
1e-1 90 |
1e-2 117 |
1e-3 149 |
1e-5 215 |
1e-7 265 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| PSAaLmC-CMA-ES Nishida | 4.3 (4) | 10 (4) | 11 (2) | 12 (1) | 12 (1) | 12 (1) | 13 (0.6) | 15/15 |
| PSAaLmD-CMA-ES Nishida | 3.9 (4) | 5.0 (3) | 5.2 (2) | 6.2 (4) | 9.1 (6) | 9.0 (13) | 8.6 (10) | 15/15 |
| PSAaSmC-CMA-ES Nishida | 5.3 (4) | 11 (3) | 11 (2) | 12 (2) | 12 (1) | 12 (0.8) | 13 (0.6) | 15/15 |
| PSAaSmD-CMA-ES Nishida | 5.8 (3) | 6.7 (4) | 18 (44) | 16 (34) | 15 (26) | 14 (18) | 14 (15) | 15/15 |
| Δ fopt f7, 3-D |
1e1 11 |
1e0 65 |
1e-1 342 |
1e-2 464 |
1e-3 482 |
1e-5 482 |
1e-7 535 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| PSAaLmC-CMA-ES Nishida | 7.3 (8) | 4.8 (5) | 1.9 (1) | 1.9 (0.9) | 2.0 (1.0) | 2.0 (1.0) | 2.0 (0.7) | 15/15 |
| PSAaLmD-CMA-ES Nishida | 4.2 (3) | 4.6 (5) | 1.2 (1) | 1.2 (0.8) | 1.2 (0.8) | 1.2 (0.8) | 1.1 (0.7) | 15/15 |
| PSAaSmC-CMA-ES Nishida | 5.5 (8) | 4.2 (2) | 1.5 (0.6) | 1.7 (0.6) | 2.0 (0.5) | 2.0 (0.5) | 1.8 (0.5) | 15/15 |
| PSAaSmD-CMA-ES Nishida | 3.7 (4) | 3.2 (3) | 2.2 (2) | 1.9 (2) | 2.1 (2) | 2.1 (2) | 1.9 (1) | 15/15 |
| Δ fopt f8, 3-D |
1e1 27 |
1e0 45 |
1e-1 152 |
1e-2 179 |
1e-3 188 |
1e-5 198 |
1e-7 208 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| PSAaLmC-CMA-ES Nishida | 7.5 (7) | 17 (14) | 16 (5) | 20 (9) | 22 (8) | 23 (9) | 24 (9) | 15/15 |
| PSAaLmD-CMA-ES Nishida | 4.6 (2) | 30 (85) | 32 (56) | 171 (247) | 166 (235) | 199 (223) | 191 (213) | 15/15 |
| PSAaSmC-CMA-ES Nishida | 6.9 (5) | 15 (9) | 17 (5) | 24 (13) | 34 (22) | 57 (77) | 56 (74) | 15/15 |
| PSAaSmD-CMA-ES Nishida | 4.4 (3) | 53 (84) | 71 (114) | 183 (198) | 242 (359) | 240 (328) | 229 (312) | 15/15 |
| Δ fopt f9, 3-D |
1e1 21 |
1e0 65 |
1e-1 127 |
1e-2 149 |
1e-3 159 |
1e-5 169 |
1e-7 178 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| PSAaLmC-CMA-ES Nishida | 8.3 (6) | 17 (6) | 45 (7) | 48 (12) | 52 (22) | 67 (112) | 71 (106) | 15/15 |
| PSAaLmD-CMA-ES Nishida | 5.9 (3) | 5.6 (3) | 80 (67) | 156 (252) | 295 (281) | 431 (368) | 410 (349) | 14/15 |
| PSAaSmC-CMA-ES Nishida | 7.2 (5) | 14 (10) | 23 (10) | 34 (14) | 43 (14) | 44 (13) | 44 (13) | 15/15 |
| PSAaSmD-CMA-ES Nishida | 4.9 (4) | 54 (71) | 108 (98) | 176 (131) | 414 (496) | 411 (511) | 397 (489) | 15/15 |
| Δ fopt f10, 3-D |
1e1 114 |
1e0 152 |
1e-1 168 |
1e-2 180 |
1e-3 194 |
1e-5 218 |
1e-7 242 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| PSAaLmC-CMA-ES Nishida | 9.3 (5) | 10 (4) | 10 (3) | 10 (2) | 10 (3) | 11 (2) | 13 (1) | 15/15 |
| PSAaLmD-CMA-ES Nishida | 10 (2) | 20 (32) | 29 (29) | 31 (30) | 32 (28) | 29 (25) | 27 (22) | 15/15 |
| PSAaSmC-CMA-ES Nishida | 8.9 (4) | 9.2 (2) | 9.3 (2) | 10 (1) | 10 (1) | 11 (1) | 12 (0.8) | 15/15 |
| PSAaSmD-CMA-ES Nishida | 5.3 (2) | 24 (33) | 36 (62) | 36 (58) | 35 (53) | 33 (48) | 30 (43) | 15/15 |
| Δ fopt f11, 3-D |
1e1 67 |
1e0 105 |
1e-1 227 |
1e-2 263 |
1e-3 277 |
1e-5 302 |
1e-7 327 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| PSAaLmC-CMA-ES Nishida | 12 (6) | 12 (4) | 6.6 (1) | 6.3 (1) | 6.6 (1.0) | 7.6 (0.8) | 8.8 (0.7) | 15/15 |
| PSAaLmD-CMA-ES Nishida | 27 (74) | 45 (51) | 28 (24) | 44 (56) | 49 (58) | 48 (54) | 45 (50) | 15/15 |
| PSAaSmC-CMA-ES Nishida | 11 (9) | 12 (4) | 6.7 (2) | 6.4 (1) | 6.9 (0.9) | 7.5 (0.8) | 8.9 (1.0) | 15/15 |
| PSAaSmD-CMA-ES Nishida | 35 (66) | 37 (43) | 52 (89) | 59 (85) | 65 (81) | 60 (74) | 64 (69) | 15/15 |
| Δ fopt f12, 3-D |
1e1 65 |
1e0 168 |
1e-1 338 |
1e-2 401 |
1e-3 445 |
1e-5 696 |
1e-7 790 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| PSAaLmC-CMA-ES Nishida | 68 (7) | 72 (150) | 114 (144) | 126 (123) | 116 (118) | 137 (244) | 180 (423) | 11/15 |
| PSAaLmD-CMA-ES Nishida | 31 (60) | 96 (75) | 216 (268) | 301 (494) | 392 (520) | 450 (723) | 397 (581) | 8/15 |
| PSAaSmC-CMA-ES Nishida | 16 (9) | 162 (148) | 94 (79) | 160 (381) | 207 (364) | 136 (224) | 126 (289) | 11/15 |
| PSAaSmD-CMA-ES Nishida | 30 (63) | 304 (901) | 282 (465) | 329 (499) | 340 (354) | 508 (437) | 448 (865) | 7/15 |
| Δ fopt f13, 3-D |
1e1 49 |
1e0 85 |
1e-1 108 |
1e-2 136 |
1e-3 215 |
1e-5 281 |
1e-7 365 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| PSAaLmC-CMA-ES Nishida | 10 (5) | 12 (4) | 13 (2) | 13 (2) | 11 (0.9) | 12 (0.8) | 12 (0.6) | 15/15 |
| PSAaLmD-CMA-ES Nishida | 4.6 (1) | 4.9 (1) | 11 (1.0) | 10 (0.6) | 7.2 (0.5) | 6.8 (0.5) | 6.2 (0.4) | 15/15 |
| PSAaSmC-CMA-ES Nishida | 10 (3) | 9.5 (2) | 12 (1) | 13 (1) | 11 (0.9) | 12 (0.6) | 12 (0.6) | 15/15 |
| PSAaSmD-CMA-ES Nishida | 17 (28) | 16 (39) | 20 (34) | 17 (27) | 14 (19) | 12 (14) | 11 (13) | 15/15 |
| Δ fopt f14, 3-D |
1e1 2.0 |
1e0 17 |
1e-1 28 |
1e-2 43 |
1e-3 71 |
1e-5 110 |
1e-7 194 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| PSAaLmC-CMA-ES Nishida | 5.8 (6) | 7.7 (6) | 11 (5) | 12 (4) | 12 (3) | 15 (2) | 13 (1) | 15/15 |
| PSAaLmD-CMA-ES Nishida | 3.2 (4) | 3.1 (4) | 5.1 (3) | 5.9 (2) | 6.1 (1) | 11 (2) | 10 (13) | 15/15 |
| PSAaSmC-CMA-ES Nishida | 10 (8) | 7.3 (6) | 11 (7) | 13 (6) | 13 (4) | 16 (2) | 13 (2) | 15/15 |
| PSAaSmD-CMA-ES Nishida | 7.6 (8) | 4.9 (5) | 16 (4) | 17 (3) | 13 (3) | 18 (26) | 13 (16) | 15/15 |
| Δ fopt f15, 3-D |
1e1 121 |
1e0 1372 |
1e-1 6285 |
1e-2 8282 |
1e-3 8429 |
1e-5 8787 |
1e-7 9041 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| PSAaLmC-CMA-ES Nishida | 2.1 (2) | 2.5 (2) | 1.9 (2) | 1.8 (2) | 1.8 (2) | 1.8 (2) | 1.8 (2) | 15/15 |
| PSAaLmD-CMA-ES Nishida | 1.7 (2) | 3.5 (3) | 2.3 (2) | 1.8 (2) | 1.8 (2) | 1.7 (2) | 1.7 (2) | 15/15 |
| PSAaSmC-CMA-ES Nishida | 2.2 (1) | 2.9 (2) | 1.2 (1) | 1.1 (0.8) | 1.2 (0.8) | 1.2 (0.8) | 1.2 (0.7) | 15/15 |
| PSAaSmD-CMA-ES Nishida | 1.2 (0.5) | 1.6 (2) | 1.9 (2) | 1.9 (2) | 1.9 (2) | 1.8 (2) | 1.8 (2) | 15/15 |
| Δ fopt f16, 3-D |
1e1 41 |
1e0 319 |
1e-1 582 |
1e-2 789 |
1e-3 1864 |
1e-5 3204 |
1e-7 3361 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| PSAaLmC-CMA-ES Nishida | 1.8 (0.9) | 9.2 (14) | 76 (93) | 96 (198) | 41 (81) | 24 (47) | 23 (45) | 13/15 |
| PSAaLmD-CMA-ES Nishida | 2.0 (2) | 4.6 (4) | 29 (30) | 29 (28) | 12 (12) | 7.2 (7) | 6.9 (7) | 15/15 |
| PSAaSmC-CMA-ES Nishida | 2.0 (2) | 4.2 (4) | 33 (34) | 65 (100) | 27 (42) | 16 (25) | 16 (24) | 14/15 |
| PSAaSmD-CMA-ES Nishida | 2.1 (3) | 6.1 (7) | 10 (16) | 8.4 (11) | 3.6 (5) | 2.1 (3) | 2.1 (3) | 15/15 |
| Δ fopt f17, 3-D |
1e1 4.0 |
1e0 78 |
1e-1 282 |
1e-2 491 |
1e-3 1134 |
1e-5 2347 |
1e-7 3469 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| PSAaLmC-CMA-ES Nishida | 9.4 (11) | 4.0 (2) | 2.7 (0.9) | 3.1 (0.3) | 2.0 (0.2) | 1.8 (0.1) | 1.7 (0.1) | 15/15 |
| PSAaLmD-CMA-ES Nishida | 4.5 (6) | 2.0 (1) | 5.5 (0.5) | 3.9 (0.4) | 2.1 (1) | 1.4 (0.6) | 1.3 (1.0) | 15/15 |
| PSAaSmC-CMA-ES Nishida | 3.5 (4) | 3.6 (3) | 2.6 (1) | 2.9 (0.8) | 1.9 (0.4) | 1.6 (0.2) | 1.7 (0.1) | 15/15 |
| PSAaSmD-CMA-ES Nishida | 2.9 (3) | 2.3 (1) | 2.5 (4) | 2.0 (3) | 1.1 (1) | 1.5 (2) | 1.2 (1) | 15/15 |
| Δ fopt f18, 3-D |
1e1 40 |
1e0 145 |
1e-1 1289 |
1e-2 3084 |
1e-3 3523 |
1e-5 4738 |
1e-7 5527 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| PSAaLmC-CMA-ES Nishida | 3.8 (3) | 4.0 (1) | 1.0 (0.4) | 0.94 (0.1)↑1 | 1.1 (0.1) | 1.2 (0.7) | 1.4 (0.6) | 15/15 |
| PSAaLmD-CMA-ES Nishida | 2.8 (4) | 2.6 (3) | 1.5 (0.4) | 0.94 (2) | 0.94 (1) | 1.8 (2) | 1.7 (2) | 15/15 |
| PSAaSmC-CMA-ES Nishida | 3.8 (4) | 4.4 (3) | 5.2 (15) | 2.5 (6) | 2.4 (5) | 2.2 (4) | 2.2 (3) | 15/15 |
| PSAaSmD-CMA-ES Nishida | 3.0 (4) | 7.1 (8) | 2.1 (3) | 1.3 (2) | 1.2 (1) | 1.7 (2) | 1.9 (2) | 15/15 |
| Δ fopt f19, 3-D |
1e1 1 |
1e0 1 |
1e-1 109 |
1e-2 6764 |
1e-3 7367 |
1e-5 7399 |
1e-7 7441 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| PSAaLmC-CMA-ES Nishida | 15 (26) | 186 (154) | 212 (645) | 6.1 (12) | 6.3 (11) | 6.7 (11) | 6.7 (11) | 15/15 |
| PSAaLmD-CMA-ES Nishida | 6.2 (6) | 161 (93) | 25 (28) | 2.9 (4) | 4.4 (4) | 4.7 (4) | 4.7 (4) | 15/15 |
| PSAaSmC-CMA-ES Nishida | 6.1 (6) | 123 (94) | 25 (28) | 3.2 (2) | 4.0 (8) | 4.1 (8) | 4.2 (8) | 15/15 |
| PSAaSmD-CMA-ES Nishida | 12 (9) | 173 (128) | 386 (741) | 16 (23) | 27 (26) | 41 (54) | 41 (54) | 9/15 |
| Δ fopt f20, 3-D |
1e1 8.0 |
1e0 385 |
1e-1 2291 |
1e-2 2398 |
1e-3 2481 |
1e-5 2573 |
1e-7 2776 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| PSAaLmC-CMA-ES Nishida | 4.7 (5) | 5.1 (5) | 16 (18) | 16 (17) | 15 (16) | 15 (16) | 14 (15) | 15/15 |
| PSAaLmD-CMA-ES Nishida | 3.1 (4) | 5.6 (7) | 13 (13) | 12 (12) | 13 (12) | 13 (11) | 12 (11) | 15/15 |
| PSAaSmC-CMA-ES Nishida | 5.5 (6) | 6.6 (8) | 9.4 (8) | 13 (12) | 13 (11) | 12 (11) | 12 (10) | 15/15 |
| PSAaSmD-CMA-ES Nishida | 4.2 (4) | 6.0 (8) | 13 (24) | 12 (23) | 12 (22) | 11 (21) | 11 (19) | 15/15 |
| Δ fopt f21, 3-D |
1e1 6.0 |
1e0 184 |
1e-1 425 |
1e-2 439 |
1e-3 458 |
1e-5 469 |
1e-7 482 |
#succ 14/15 |
|---|---|---|---|---|---|---|---|---|
| PSAaLmC-CMA-ES Nishida | 1.3 (2) | 19 (25) | 21 (28) | 28 (37) | 27 (36) | 28 (35) | 28 (34) | 15/15 |
| PSAaLmD-CMA-ES Nishida | 1.9 (2) | 14 (19) | 12 (14) | 16 (17) | 15 (16) | 15 (16) | 15 (15) | 15/15 |
| PSAaSmC-CMA-ES Nishida | 2.2 (2) | 19 (22) | 32 (38) | 31 (36) | 30 (35) | 30 (34) | 30 (33) | 15/15 |
| PSAaSmD-CMA-ES Nishida | 2.2 (3) | 15 (19) | 10 (15) | 10 (15) | 10 (14) | 10 (14) | 10 (13) | 15/15 |
| Δ fopt f22, 3-D |
1e1 18 |
1e0 170 |
1e-1 354 |
1e-2 362 |
1e-3 384 |
1e-5 401 |
1e-7 414 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| PSAaLmC-CMA-ES Nishida | 2.1 (2) | 13 (22) | 39 (37) | 69 (96) | 73 (91) | 70 (87) | 68 (84) | 15/15 |
| PSAaLmD-CMA-ES Nishida | 1.6 (2) | 9.3 (20) | 17 (29) | 17 (28) | 25 (34) | 24 (32) | 24 (31) | 15/15 |
| PSAaSmC-CMA-ES Nishida | 16 (10) | 24 (49) | 33 (37) | 39 (41) | 40 (38) | 38 (37) | 37 (35) | 15/15 |
| PSAaSmD-CMA-ES Nishida | 1.8 (2) | 10 (16) | 15 (15) | 15 (15) | 15 (14) | 15 (14) | 19 (29) | 15/15 |
| Δ fopt f23, 3-D |
1e1 3.0 |
1e0 407 |
1e-1 906 |
1e-2 1215 |
1e-3 2214 |
1e-5 2293 |
1e-7 2393 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| PSAaLmC-CMA-ES Nishida | 5.3 (8) | 18 (22) | ∞ | ∞ | ∞ | ∞ | ∞3e5 | 0/15 |
| PSAaLmD-CMA-ES Nishida | 2.7 (2) | 16 (17) | 5014 (4539) | ∞ | ∞ | ∞ | ∞3e5 | 0/15 |
| PSAaSmC-CMA-ES Nishida | 3.3 (2) | 18 (19) | ∞ | ∞ | ∞ | ∞ | ∞3e5 | 0/15 |
| PSAaSmD-CMA-ES Nishida | 3.0 (3) | 13 (13) | ∞ | ∞ | ∞ | ∞ | ∞3e5 | 0/15 |
| Δ fopt f24, 3-D |
1e1 97 |
1e0 10391 |
1e-1 1.0e5 |
1e-2 3.6e5 |
1e-3 3.6e5 |
1e-5 3.6e5 |
1e-7 3.6e5 |
#succ 2/15 |
|---|---|---|---|---|---|---|---|---|
| PSAaLmC-CMA-ES Nishida | 3.1 (2) | 40 (54) | 13 (14) | 12 (17) | ∞ | ∞ | ∞3e5 | 0/15 |
| PSAaLmD-CMA-ES Nishida | 4.3 (3) | 117 (220) | 43 (44) | ∞ | ∞ | ∞ | ∞3e5 | 0/15 |
| PSAaSmC-CMA-ES Nishida | 2.7 (2) | 51 (109) | 13 (14) | ∞ | ∞ | ∞ | ∞3e5 | 0/15 |
| PSAaSmD-CMA-ES Nishida | 1.8 (1) | 39 (33) | 21 (24) | ∞ | ∞ | ∞ | ∞3e5 | 0/15 |
Previous dimension | Dimension = 5 | Next dimension
| Δ fopt f1, 5-D |
1e1 11 |
1e0 12 |
1e-1 12 |
1e-2 12 |
1e-3 12 |
1e-5 12 |
1e-7 12 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| PSAaLmC-CMA-ES Nishida | 7.3 (6) | 25 (7) | 48 (8) | 68 (16) | 104 (20) | 181 (12) | 247 (34) | 15/15 |
| PSAaLmD-CMA-ES Nishida | 6.4 (7) | 16 (5) | 26 (8) | 47 (10) | 69 (14) | 120 (11) | 170 (16) | 15/15 |
| PSAaSmC-CMA-ES Nishida | 6.3 (6) | 23 (8) | 45 (14) | 72 (16) | 102 (17) | 169 (12) | 236 (20) | 15/15 |
| PSAaSmD-CMA-ES Nishida | 9.5 (4) | 19 (8) | 35 (15) | 51 (14) | 70 (11) | 114 (10) | 151 (12)★2 | 15/15 |
| Δ fopt f2, 5-D |
1e1 83 |
1e0 87 |
1e-1 88 |
1e-2 89 |
1e-3 90 |
1e-5 92 |
1e-7 94 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| PSAaLmC-CMA-ES Nishida | 22 (10) | 26 (9) | 30 (8) | 33 (8) | 36 (8) | 44 (5) | 52 (5) | 15/15 |
| PSAaLmD-CMA-ES Nishida | 13 (4) | 18 (5) | 30 (7) | 41 (8) | 43 (9) | 49 (17) | 62 (81) | 15/15 |
| PSAaSmC-CMA-ES Nishida | 21 (5) | 25 (4) | 29 (4) | 31 (4) | 34 (3) | 42 (3) | 50 (3) | 15/15 |
| PSAaSmD-CMA-ES Nishida | 296 (124) | 840 (2694) | 870 (2663) | 978 (2632) | 1276 (2603) | 1273 (2547) | 1252 (2491) | 15/15 |
| Δ fopt f3, 5-D |
1e1 716 |
1e0 1622 |
1e-1 1637 |
1e-2 1642 |
1e-3 1646 |
1e-5 1650 |
1e-7 1654 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| PSAaLmC-CMA-ES Nishida | 2.6 (1) | 103 (114) | 2194 (3668) | 4555 (3657) | 4544 (5093) | 4534 (4702) | 4523 (4236) | 1/15 |
| PSAaLmD-CMA-ES Nishida | 4.8 (2) | 70 (86) | 1427 (1121) | 1423 (2006) | 1420 (1444) | 1417 (1441) | 1414 (1816) | 3/15 |
| PSAaSmC-CMA-ES Nishida | 2.2 (2) | 56 (78) | 337 (355) | 336 (258) | 336 (296) | 335 (244) | 335 (503) | 9/15 |
| PSAaSmD-CMA-ES Nishida | 2.2 (2) | 31 (34) | 146 (127) | 146 (127) | 146 (127) | 146 (127) | 146 (126) | 14/15 |
| Δ fopt f4, 5-D |
1e1 809 |
1e0 1633 |
1e-1 1688 |
1e-2 1758 |
1e-3 1817 |
1e-5 1886 |
1e-7 1903 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| PSAaLmC-CMA-ES Nishida | 3.9 (2) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞5e5 | 0/15 |
| PSAaLmD-CMA-ES Nishida | 3.4 (1) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞5e5 | 0/15 |
| PSAaSmC-CMA-ES Nishida | 3.8 (1) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞5e5 | 0/15 |
| PSAaSmD-CMA-ES Nishida | 3.1 (4) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞5e5 | 0/15 |
| Δ fopt f5, 5-D |
1e1 10 |
1e0 10 |
1e-1 10 |
1e-2 10 |
1e-3 10 |
1e-5 10 |
1e-7 10 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| PSAaLmC-CMA-ES Nishida | 26 (19) | 47 (24) | 51 (24) | 51 (24) | 51 (24) | 51 (24) | 51 (24) | 15/15 |
| PSAaLmD-CMA-ES Nishida | 16 (13) | 26 (19) | 27 (20) | 27 (20) | 27 (20) | 27 (20) | 27 (20) | 15/15 |
| PSAaSmC-CMA-ES Nishida | 24 (11) | 38 (16) | 41 (16) | 41 (16) | 41 (16) | 41 (16) | 41 (16) | 15/15 |
| PSAaSmD-CMA-ES Nishida | 15 (9) | 28 (22) | 30 (20) | 30 (20) | 30 (20) | 30 (20) | 30 (20) | 15/15 |
| Δ fopt f6, 5-D |
1e1 114 |
1e0 214 |
1e-1 281 |
1e-2 404 |
1e-3 580 |
1e-5 1038 |
1e-7 1332 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| PSAaLmC-CMA-ES Nishida | 5.3 (4) | 6.5 (0.9) | 7.4 (0.8) | 6.9 (0.7) | 6.0 (0.6) | 4.8 (0.4) | 4.8 (0.3) | 15/15 |
| PSAaLmD-CMA-ES Nishida | 4.3 (2) | 4.4 (1) | 4.8 (1) | 4.5 (0.4) | 3.9 (0.3) | 3.1 (0.2) | 3.1 (0.2) | 15/15 |
| PSAaSmC-CMA-ES Nishida | 5.7 (2) | 6.0 (1) | 7.1 (0.8) | 6.4 (0.7) | 5.6 (0.6) | 4.4 (0.4) | 4.5 (0.4) | 15/15 |
| PSAaSmD-CMA-ES Nishida | 4.4 (1) | 14 (3) | 17 (35) | 19 (37) | 16 (26) | 11 (14) | 8.8 (11) | 15/15 |
| Δ fopt f7, 5-D |
1e1 24 |
1e0 324 |
1e-1 1171 |
1e-2 1451 |
1e-3 1572 |
1e-5 1572 |
1e-7 1597 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| PSAaLmC-CMA-ES Nishida | 7.4 (5) | 1.7 (0.8) | 0.92 (0.3) | 1.1 (0.1) | 1.1 (0.1) | 1.1 (0.1) | 1.1 (0.1) | 15/15 |
| PSAaLmD-CMA-ES Nishida | 8.3 (6) | 1.5 (0.9) | 0.80 (0.6) | 0.87 (0.6) | 0.86 (0.5) | 0.86 (0.5) | 0.92 (0.5) | 15/15 |
| PSAaSmC-CMA-ES Nishida | 9.3 (8) | 1.8 (0.7) | 0.81 (0.3) | 1.00 (0.2) | 1.0 (0.1) | 1.0 (0.1) | 1.1 (0.1) | 15/15 |
| PSAaSmD-CMA-ES Nishida | 7.3 (5) | 1.7 (2) | 0.87 (0.9) | 0.92 (0.6) | 0.91 (0.6) | 0.91 (0.6) | 0.95 (0.6) | 15/15 |
| Δ fopt f8, 5-D |
1e1 73 |
1e0 273 |
1e-1 336 |
1e-2 372 |
1e-3 391 |
1e-5 410 |
1e-7 422 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| PSAaLmC-CMA-ES Nishida | 11 (3) | 82 (139) | 229 (282) | 1540 (1583) | 3063 (2753) | 3016 (3077) | 3783 (5089) | 4/15 |
| PSAaLmD-CMA-ES Nishida | 7.2 (2) | 84 (147) | 1181 (1097) | 2643 (2733) | 4237 (3214) | 5424 (4459) | 5272 (5233) | 2/15 |
| PSAaSmC-CMA-ES Nishida | 11 (4) | 28 (8) | 457 (541) | 1624 (2074) | 2885 (3392) | 3743 (3431) | 3638 (4770) | 4/15 |
| PSAaSmD-CMA-ES Nishida | 6.3 (2) | 135 (205) | 1435 (1853) | 3871 (4420) | 3801 (4491) | 3626 (3474) | 3523 (3689) | 4/15 |
| Δ fopt f9, 5-D |
1e1 35 |
1e0 127 |
1e-1 214 |
1e-2 263 |
1e-3 300 |
1e-5 335 |
1e-7 369 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| PSAaLmC-CMA-ES Nishida | 19 (8) | 127 (331) | 900 (1059) | 8600 (6325) | 1.2e4 (1e4) | ∞ | ∞5e5 | 0/15 |
| PSAaLmD-CMA-ES Nishida | 14 (4) | 142 (213) | 1616 (2151) | 1.4e4 (1e4) | 1.2e4 (1e4) | 2.2e4 (3e4) | 2.0e4 (2e4) | 1/15 |
| PSAaSmC-CMA-ES Nishida | 18 (6) | 78 (67) | 465 (576) | 1416 (2157) | 3151 (5581) | 2871 (2686) | 4391 (5749) | 4/15 |
| PSAaSmD-CMA-ES Nishida | 12 (5) | 142 (241) | 4204 (5361) | ∞ | ∞ | ∞ | ∞5e5 | 0/15 |
| Δ fopt f10, 5-D |
1e1 349 |
1e0 500 |
1e-1 574 |
1e-2 607 |
1e-3 626 |
1e-5 829 |
1e-7 880 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| PSAaLmC-CMA-ES Nishida | 5.3 (1) | 4.4 (0.5) | 4.4 (0.6) | 4.8 (0.4) | 5.1 (0.4) | 4.8 (0.3) | 5.6 (0.2) | 15/15 |
| PSAaLmD-CMA-ES Nishida | 36 (1) | 81 (1) | 71 (2) | 68 (3) | 70 (16) | 53 (12) | 51 (12) | 14/15 |
| PSAaSmC-CMA-ES Nishida | 5.1 (1) | 4.5 (0.8) | 5.0 (0.8) | 11 (0.4) | 11 (0.4) | 9.2 (0.6) | 10 (0.5) | 15/15 |
| PSAaSmD-CMA-ES Nishida | 108 (338) | 222 (436) | 256 (380) | 291 (445) | 284 (470) | 279 (463) | 263 (306) | 12/15 |
| Δ fopt f11, 5-D |
1e1 143 |
1e0 202 |
1e-1 763 |
1e-2 977 |
1e-3 1177 |
1e-5 1467 |
1e-7 1673 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| PSAaLmC-CMA-ES Nishida | 11 (6) | 11 (4) | 3.3 (1) | 2.8 (0.9) | 2.6 (0.8) | 2.6 (0.5) | 2.7 (0.4) | 15/15 |
| PSAaLmD-CMA-ES Nishida | 7.4 (3) | 25 (7) | 22 (35) | 19 (27) | 17 (22) | 15 (18) | 13 (16) | 15/15 |
| PSAaSmC-CMA-ES Nishida | 10 (3) | 10 (2) | 3.1 (0.5) | 2.7 (0.5) | 2.5 (0.4) | 2.4 (0.2) | 2.6 (0.3) | 15/15 |
| PSAaSmD-CMA-ES Nishida | 250 (477) | 341 (739) | 162 (276) | 159 (268) | 132 (222) | 106 (178) | 94 (242) | 13/15 |
| Δ fopt f12, 5-D |
1e1 108 |
1e0 268 |
1e-1 371 |
1e-2 413 |
1e-3 461 |
1e-5 1303 |
1e-7 1494 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| PSAaLmC-CMA-ES Nishida | 22 (6) | 99 (152) | 175 (359) | 253 (557) | 416 (582) | 396 (555) | 438 (506) | 7/15 |
| PSAaLmD-CMA-ES Nishida | 14 (3) | 192 (168) | 409 (671) | 832 (974) | 1224 (1679) | 1558 (1550) | 1359 (1099) | 3/15 |
| PSAaSmC-CMA-ES Nishida | 19 (4) | 11 (3) | 35 (51) | 122 (212) | 383 (551) | 376 (390) | 444 (509) | 6/15 |
| PSAaSmD-CMA-ES Nishida | 169 (5) | 229 (475) | 566 (682) | 690 (842) | 969 (894) | 908 (1231) | 1000 (1018) | 4/15 |
| Δ fopt f13, 5-D |
1e1 132 |
1e0 195 |
1e-1 250 |
1e-2 319 |
1e-3 1310 |
1e-5 1752 |
1e-7 2255 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| PSAaLmC-CMA-ES Nishida | 7.4 (2) | 9.0 (1.0) | 10 (1.0) | 10 (0.8) | 3.1 (0.2) | 3.2 (0.2) | 3.2 (0.1) | 15/15 |
| PSAaLmD-CMA-ES Nishida | 5.2 (1) | 6.4 (1) | 7.0 (0.6) | 7.2 (0.4) | 2.2 (0.1) | 2.2 (0.1) | 2.3 (0.1) | 15/15 |
| PSAaSmC-CMA-ES Nishida | 7.2 (2) | 8.6 (0.9) | 10 (1) | 10 (1) | 3.1 (0.2) | 3.2 (0.2) | 3.1 (0.1) | 15/15 |
| PSAaSmD-CMA-ES Nishida | 5.2 (2) | 5.9 (1) | 6.5 (1) | 6.5 (1) | 13 (0.2) | 10 (0.1) | 8.5 (0.2) | 15/15 |
| Δ fopt f14, 5-D |
1e1 10 |
1e0 41 |
1e-1 58 |
1e-2 90 |
1e-3 139 |
1e-5 251 |
1e-7 476 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| PSAaLmC-CMA-ES Nishida | 3.8 (5) | 8.6 (2) | 11 (2) | 12 (3) | 12 (1) | 11 (2) | 8.7 (0.6) | 15/15 |
| PSAaLmD-CMA-ES Nishida | 3.4 (5) | 4.5 (2) | 7.1 (2) | 7.3 (2) | 8.1 (1) | 7.8 (0.7) | 6.0 (0.6) | 15/15 |
| PSAaSmC-CMA-ES Nishida | 2.8 (3) | 6.9 (4) | 10 (3) | 11 (3) | 11 (2) | 11 (1) | 8.1 (1) | 15/15 |
| PSAaSmD-CMA-ES Nishida | 4.0 (5) | 5.2 (2) | 7.2 (2) | 8.0 (1) | 7.6 (1) | 7.0 (0.9) | 5.1 (0.6)★2 | 15/15 |
| Δ fopt f15, 5-D |
1e1 511 |
1e0 9310 |
1e-1 19369 |
1e-2 19743 |
1e-3 20073 |
1e-5 20769 |
1e-7 21359 |
#succ 14/15 |
|---|---|---|---|---|---|---|---|---|
| PSAaLmC-CMA-ES Nishida | 3.9 (3) | 2.2 (0.8) | 1.5 (0.9) | 1.4 (0.9) | 1.4 (0.8) | 1.4 (0.8) | 1.4 (0.8) | 15/15 |
| PSAaLmD-CMA-ES Nishida | 2.3 (2) | 2.5 (1) | 1.6 (0.7) | 1.6 (0.6) | 1.6 (0.6) | 1.5 (0.6) | 1.5 (0.6) | 15/15 |
| PSAaSmC-CMA-ES Nishida | 3.7 (2) | 1.0 (0.3) | 0.71 (0.3) | 0.72 (0.3) | 0.73 (0.3) | 0.75 (0.3) | 0.76 (0.3) | 15/15 |
| PSAaSmD-CMA-ES Nishida | 3.0 (3) | 0.88 (0.6) | 1.1 (1) | 1.1 (1.0) | 1.1 (1.0) | 1.1 (0.9) | 1.1 (0.9) | 15/15 |
| Δ fopt f16, 5-D |
1e1 120 |
1e0 612 |
1e-1 2662 |
1e-2 10163 |
1e-3 10449 |
1e-5 11644 |
1e-7 12095 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| PSAaLmC-CMA-ES Nishida | 1.9 (2) | 144 (191) | 104 (99) | 27 (26) | 27 (26) | 25 (21) | 24 (30) | 13/15 |
| PSAaLmD-CMA-ES Nishida | 3.0 (4) | 155 (292) | 105 (114) | 28 (32) | 27 (33) | 24 (24) | 24 (26) | 11/15 |
| PSAaSmC-CMA-ES Nishida | 3.1 (3) | 69 (110) | 36 (74) | 11 (19) | 12 (21) | 11 (19) | 11 (18) | 14/15 |
| PSAaSmD-CMA-ES Nishida | 4.2 (4) | 49 (16) | 14 (12) | 5.5 (10) | 5.5 (10) | 5.5 (8) | 5.4 (8) | 15/15 |
| Δ fopt f17, 5-D |
1e1 5.0 |
1e0 215 |
1e-1 899 |
1e-2 2861 |
1e-3 3669 |
1e-5 6351 |
1e-7 7934 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| PSAaLmC-CMA-ES Nishida | 10 (18) | 2.9 (1) | 1.6 (0.4) | 1.0 (0.2) | 1.2 (0.1) | 1.2 (0.1) | 1.3 (0.1) | 15/15 |
| PSAaLmD-CMA-ES Nishida | 11 (12) | 2.1 (1) | 1.2 (0.4) | 0.76 (0.1)↑1 | 0.85 (0.1)↑1 | 0.85 (0.1)↑0 | 0.94 (0.0)↑1 | 15/15 |
| PSAaSmC-CMA-ES Nishida | 10 (10) | 2.3 (0.9) | 1.5 (0.3) | 0.90 (0.1)↑1 | 1.0 (0.1) | 1.0 (0.1) | 1.2 (0.1) | 15/15 |
| PSAaSmD-CMA-ES Nishida | 6.3 (10) | 1.7 (0.7) | 1.1 (0.3) | 0.62 (0.1)★↑1 | 0.70 (0.1)★2↑1 | 0.68 (0.1)★2↑0 | 1.1 (0.1) | 15/15 |
| Δ fopt f18, 5-D |
1e1 103 |
1e0 378 |
1e-1 3968 |
1e-2 8451 |
1e-3 9280 |
1e-5 10905 |
1e-7 12469 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| PSAaLmC-CMA-ES Nishida | 2.3 (2) | 2.7 (1) | 0.89 (0.1)↑1 | 0.59 (0.1)↑1 | 0.70 (0.1)↑1 | 0.87 (0.1)↑1 | 0.98 (0.1)↑1 | 15/15 |
| PSAaLmD-CMA-ES Nishida | 1.6 (0.9) | 1.9 (0.7) | 1.1 (0.2) | 0.66 (0.1)↑1 | 0.71 (0.1)↑1 | 0.81 (0.1)↑1 | 0.88 (0.1)↑1 | 15/15 |
| PSAaSmC-CMA-ES Nishida | 3.1 (2) | 2.8 (2) | 2.3 (5) | 1.3 (3) | 1.3 (2) | 1.3 (2) | 1.4 (2) | 15/15 |
| PSAaSmD-CMA-ES Nishida | 2.2 (2) | 2.2 (1) | 1.7 (3) | 0.88 (2) | 0.89 (1) | 1.0 (1) | 1.0 (1) | 15/15 |
| Δ fopt f19, 5-D |
1e1 1 |
1e0 1 |
1e-1 242 |
1e-2 1.0e5 |
1e-3 1.2e5 |
1e-5 1.2e5 |
1e-7 1.2e5 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| PSAaLmC-CMA-ES Nishida | 39 (53) | 1343 (1054) | 220 (60) | 0.62 (0.2)↑0 | 0.69 (0.2)↑1 | 0.69 (0.2)↑1 | 0.69 (0.2)↑1 | 15/15 |
| PSAaLmD-CMA-ES Nishida | 25 (23) | 1277 (1178) | 263 (116) | 0.78 (0.3)↑1 | 0.84 (1) | 0.84 (1) | 0.97 (1) | 15/15 |
| PSAaSmC-CMA-ES Nishida | 24 (24) | 1736 (1842) | 100 (40) | 0.75 (1) | 1.5 (3) | 1.5 (2) | 1.5 (3) | 12/15 |
| PSAaSmD-CMA-ES Nishida | 18 (14) | 1242 (1086) | 284 (541) | 1.1 (1) | 1.9 (3) | 1.9 (2) | 2.0 (3) | 13/15 |
| Δ fopt f20, 5-D |
1e1 16 |
1e0 851 |
1e-1 38111 |
1e-2 51362 |
1e-3 54470 |
1e-5 54861 |
1e-7 55313 |
#succ 14/15 |
|---|---|---|---|---|---|---|---|---|
| PSAaLmC-CMA-ES Nishida | 6.8 (6) | 14 (8) | 2.6 (3) | 2.1 (2) | 2.0 (2) | 2.0 (2) | 2.0 (2) | 15/15 |
| PSAaLmD-CMA-ES Nishida | 5.3 (4) | 13 (10) | 3.4 (4) | 2.6 (3) | 2.5 (3) | 2.5 (3) | 2.4 (3) | 15/15 |
| PSAaSmC-CMA-ES Nishida | 7.6 (5) | 10 (5) | 12 (18) | 9.1 (12) | 8.6 (10) | 8.6 (9) | 8.5 (8) | 10/15 |
| PSAaSmD-CMA-ES Nishida | 6.0 (5) | 6.7 (7) | 13 (15) | 10 (9) | 9.0 (10) | 9.0 (8) | 8.9 (10) | 10/15 |
| Δ fopt f21, 5-D |
1e1 41 |
1e0 1157 |
1e-1 1674 |
1e-2 1692 |
1e-3 1705 |
1e-5 1729 |
1e-7 1757 |
#succ 14/15 |
|---|---|---|---|---|---|---|---|---|
| PSAaLmC-CMA-ES Nishida | 4.2 (3) | 18 (15) | 23 (25) | 24 (25) | 23 (24) | 23 (24) | 23 (24) | 15/15 |
| PSAaLmD-CMA-ES Nishida | 2.2 (2) | 14 (18) | 15 (19) | 15 (18) | 15 (18) | 15 (18) | 15 (18) | 15/15 |
| PSAaSmC-CMA-ES Nishida | 3.3 (3) | 18 (22) | 18 (24) | 18 (24) | 18 (24) | 18 (23) | 18 (23) | 15/15 |
| PSAaSmD-CMA-ES Nishida | 2.2 (2) | 13 (15) | 16 (22) | 16 (21) | 16 (21) | 16 (21) | 16 (21) | 15/15 |
| Δ fopt f22, 5-D |
1e1 71 |
1e0 386 |
1e-1 938 |
1e-2 980 |
1e-3 1008 |
1e-5 1040 |
1e-7 1068 |
#succ 14/15 |
|---|---|---|---|---|---|---|---|---|
| PSAaLmC-CMA-ES Nishida | 13 (38) | 36 (39) | 125 (147) | 138 (198) | 134 (193) | 130 (187) | 127 (182) | 14/15 |
| PSAaLmD-CMA-ES Nishida | 6.9 (2) | 49 (48) | 115 (118) | 113 (113) | 110 (110) | 107 (107) | 105 (104) | 14/15 |
| PSAaSmC-CMA-ES Nishida | 3.2 (3) | 43 (81) | 124 (176) | 119 (169) | 115 (164) | 112 (159) | 110 (155) | 14/15 |
| PSAaSmD-CMA-ES Nishida | 9.4 (27) | 62 (66) | 63 (74) | 72 (71) | 70 (68) | 68 (66) | 70 (64) | 14/15 |
| Δ fopt f23, 5-D |
1e1 3.0 |
1e0 518 |
1e-1 14249 |
1e-2 27890 |
1e-3 31654 |
1e-5 33030 |
1e-7 34256 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| PSAaLmC-CMA-ES Nishida | 2.3 (2) | 43 (50) | ∞ | ∞ | ∞ | ∞ | ∞5e5 | 0/15 |
| PSAaLmD-CMA-ES Nishida | 3.0 (2) | 74 (55) | ∞ | ∞ | ∞ | ∞ | ∞5e5 | 0/15 |
| PSAaSmC-CMA-ES Nishida | 1.7 (2) | 54 (43) | ∞ | ∞ | ∞ | ∞ | ∞5e5 | 0/15 |
| PSAaSmD-CMA-ES Nishida | 1.9 (2) | 36 (39) | ∞ | ∞ | ∞ | ∞ | ∞5e5 | 0/15 |
| Δ fopt f24, 5-D |
1e1 1622 |
1e0 2.2e5 |
1e-1 6.4e6 |
1e-2 9.6e6 |
1e-3 9.6e6 |
1e-5 1.3e7 |
1e-7 1.3e7 |
#succ 3/15 |
|---|---|---|---|---|---|---|---|---|
| PSAaLmC-CMA-ES Nishida | 5.8 (4) | 33 (51) | ∞ | ∞ | ∞ | ∞ | ∞5e5 | 0/15 |
| PSAaLmD-CMA-ES Nishida | 3.7 (4) | 11 (17) | ∞ | ∞ | ∞ | ∞ | ∞5e5 | 0/15 |
| PSAaSmC-CMA-ES Nishida | 4.1 (3) | 10 (10) | ∞ | ∞ | ∞ | ∞ | ∞5e5 | 0/15 |
| PSAaSmD-CMA-ES Nishida | 4.7 (4) | 33 (30) | ∞ | ∞ | ∞ | ∞ | ∞5e5 | 0/15 |
Previous dimension | Dimension = 10 | Next dimension
| Δ fopt f1, 10-D |
1e1 22 |
1e0 23 |
1e-1 23 |
1e-2 23 |
1e-3 23 |
1e-5 23 |
1e-7 23 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| PSAaLmC-CMA-ES Nishida | 12 (5) | 30 (7) | 60 (10) | 114 (21) | 180 (22) | 320 (18) | 462 (21) | 15/15 |
| PSAaLmD-CMA-ES Nishida | 15 (4) | 31 (7) | 61 (12) | 116 (15) | 190 (24) | 322 (19) | 468 (22) | 15/15 |
| PSAaSmC-CMA-ES Nishida | 16 (6) | 33 (10) | 63 (12) | 100 (14) | 158 (18) | 266 (13) | 368 (15) | 15/15 |
| PSAaSmD-CMA-ES Nishida | 15 (4) | 29 (5) | 57 (10) | 105 (20) | 156 (13) | 259 (22) | 371 (20) | 15/15 |
| Δ fopt f2, 10-D |
1e1 187 |
1e0 190 |
1e-1 191 |
1e-2 191 |
1e-3 193 |
1e-5 194 |
1e-7 195 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| PSAaLmC-CMA-ES Nishida | 30 (5) | 35 (4) | 39 (3) | 45 (2) | 52 (3) | 68 (4) | 84 (3) | 15/15 |
| PSAaLmD-CMA-ES Nishida | 30 (3) | 35 (3) | 38 (4) | 43 (3) | 50 (4) | 66 (3) | 83 (3) | 15/15 |
| PSAaSmC-CMA-ES Nishida | 27 (9) | 55 (10) | 86 (170) | 124 (186) | 128 (187) | 139 (182) | 159 (184) | 15/15 |
| PSAaSmD-CMA-ES Nishida | 26 (4) | 30 (4) | 33 (4) | 36 (3) | 41 (3) | 51 (3)★ | 64 (3) | 15/15 |
| Δ fopt f3, 10-D |
1e1 1739 |
1e0 3600 |
1e-1 3609 |
1e-2 3636 |
1e-3 3642 |
1e-5 3646 |
1e-7 3651 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| PSAaLmC-CMA-ES Nishida | 73 (15) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞1e6 | 0/15 |
| PSAaLmD-CMA-ES Nishida | 75 (11) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞1e6 | 0/15 |
| PSAaSmC-CMA-ES Nishida | 27 (6) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞1e6 | 0/15 |
| PSAaSmD-CMA-ES Nishida | 27 (10) | 1294 (1480) | ∞ | ∞ | ∞ | ∞ | ∞1e6 | 0/15 |
| Δ fopt f4, 10-D |
1e1 2234 |
1e0 3626 |
1e-1 3660 |
1e-2 3695 |
1e-3 3707 |
1e-5 3744 |
1e-7 28767 |
#succ 12/15 |
|---|---|---|---|---|---|---|---|---|
| PSAaLmC-CMA-ES Nishida | 22 (4) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞1e6 | 0/15 |
| PSAaLmD-CMA-ES Nishida | 23 (16) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞1e6 | 0/15 |
| PSAaSmC-CMA-ES Nishida | 10 (2) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞1e6 | 0/15 |
| PSAaSmD-CMA-ES Nishida | 12 (8) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞1e6 | 0/15 |
| Δ fopt f5, 10-D |
1e1 20 |
1e0 20 |
1e-1 20 |
1e-2 20 |
1e-3 20 |
1e-5 20 |
1e-7 20 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| PSAaLmC-CMA-ES Nishida | 29 (9) | 39 (11) | 41 (12) | 41 (12) | 41 (12) | 41 (12) | 41 (12) | 15/15 |
| PSAaLmD-CMA-ES Nishida | 29 (11) | 42 (18) | 45 (18) | 45 (17) | 45 (17) | 45 (17) | 45 (17) | 15/15 |
| PSAaSmC-CMA-ES Nishida | 28 (12) | 38 (15) | 40 (14) | 40 (15) | 40 (15) | 40 (15) | 40 (15) | 15/15 |
| PSAaSmD-CMA-ES Nishida | 36 (14) | 50 (19) | 53 (20) | 53 (20) | 53 (20) | 53 (20) | 53 (20) | 15/15 |
| Δ fopt f6, 10-D |
1e1 412 |
1e0 623 |
1e-1 826 |
1e-2 1039 |
1e-3 1292 |
1e-5 1841 |
1e-7 2370 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| PSAaLmC-CMA-ES Nishida | 6.8 (0.9) | 7.5 (0.7) | 8.3 (0.4) | 8.6 (0.4) | 8.6 (0.6) | 8.3 (0.4) | 8.3 (0.3) | 15/15 |
| PSAaLmD-CMA-ES Nishida | 6.6 (0.5) | 7.6 (0.9) | 8.4 (0.6) | 8.8 (0.5) | 8.7 (0.4) | 8.4 (0.5) | 8.3 (0.4) | 15/15 |
| PSAaSmC-CMA-ES Nishida | 5.7 (0.6) | 6.3 (0.7) | 6.7 (0.3) | 10 (0.6) | 9.5 (2) | 9.4 (9) | 8.7 (7) | 15/15 |
| PSAaSmD-CMA-ES Nishida | 5.5 (0.6) | 6.2 (0.6) | 6.7 (0.5) | 6.8 (0.5) | 6.6 (0.4) | 8.1 (0.4) | 7.5 (0.3) | 15/15 |
| Δ fopt f7, 10-D |
1e1 172 |
1e0 1611 |
1e-1 4195 |
1e-2 5099 |
1e-3 5141 |
1e-5 5141 |
1e-7 5389 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| PSAaLmC-CMA-ES Nishida | 5.5 (2) | 1.4 (0.4) | 0.84 (0.2) | 1.1 (0.2) | 1.1 (0.1) | 1.1 (0.1) | 1.1 (0.2) | 15/15 |
| PSAaLmD-CMA-ES Nishida | 6.1 (2) | 1.5 (0.5) | 0.87 (0.3) | 1.1 (0.2) | 1.1 (0.2) | 1.1 (0.2) | 1.1 (0.1) | 15/15 |
| PSAaSmC-CMA-ES Nishida | 4.9 (2) | 1.3 (0.3) | 0.73 (0.1)↑0 | 0.84 (0.1)↑0 | 0.86 (0.1)↑0 | 0.86 (0.1)↑0 | 0.87 (0.2) | 15/15 |
| PSAaSmD-CMA-ES Nishida | 4.9 (2) | 1.2 (0.5) | 0.73 (0.2)↑0 | 0.83 (0.1)↑0 | 0.85 (0.1)↑0 | 0.85 (0.1)↑0 | 0.89 (0.1) | 15/15 |
| Δ fopt f8, 10-D |
1e1 326 |
1e0 921 |
1e-1 1114 |
1e-2 1217 |
1e-3 1267 |
1e-5 1315 |
1e-7 1343 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| PSAaLmC-CMA-ES Nishida | 12 (0.8) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞1e6 | 0/15 |
| PSAaLmD-CMA-ES Nishida | 12 (1.0) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞1e6 | 0/15 |
| PSAaSmC-CMA-ES Nishida | 10 (2) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞1e6 | 0/15 |
| PSAaSmD-CMA-ES Nishida | 10 (1) | 7556 (9437) | 6249 (5175) | 1.2e4 (2e4) | 1.2e4 (9694) | 1.1e4 (1e4) | ∞1e6 | 0/15 |
| Δ fopt f9, 10-D |
1e1 200 |
1e0 648 |
1e-1 857 |
1e-2 993 |
1e-3 1065 |
1e-5 1138 |
1e-7 1185 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| PSAaLmC-CMA-ES Nishida | 20 (2) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞1e6 | 0/15 |
| PSAaLmD-CMA-ES Nishida | 20 (2) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞1e6 | 0/15 |
| PSAaSmC-CMA-ES Nishida | 16 (1.0) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞1e6 | 0/15 |
| PSAaSmD-CMA-ES Nishida | 16 (2) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞1e6 | 0/15 |
| Δ fopt f10, 10-D |
1e1 1835 |
1e0 2172 |
1e-1 2455 |
1e-2 2728 |
1e-3 2802 |
1e-5 4543 |
1e-7 4739 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| PSAaLmC-CMA-ES Nishida | 3.0 (0.4) | 3.0 (0.3) | 3.0 (0.2) | 3.0 (0.2) | 3.5 (0.3) | 2.9 (0.2) | 3.4 (0.1) | 15/15 |
| PSAaLmD-CMA-ES Nishida | 2.9 (0.4) | 3.0 (0.2) | 3.0 (0.2) | 3.0 (0.1) | 3.5 (0.2) | 2.8 (0.1) | 3.4 (0.1) | 15/15 |
| PSAaSmC-CMA-ES Nishida | 2.6 (0.4) | 2.6 (0.4) | 2.7 (0.3) | 2.6 (0.3) | 2.8 (0.2) | 2.3 (0.2) | 2.7 (0.2) | 15/15 |
| PSAaSmD-CMA-ES Nishida | 2.7 (0.5) | 2.8 (0.6) | 20 (0.6) | 18 (0.7) | 18 (0.8) | 12 (5) | 12 (5) | 15/15 |
| Δ fopt f11, 10-D |
1e1 266 |
1e0 1041 |
1e-1 2602 |
1e-2 2954 |
1e-3 3338 |
1e-5 4092 |
1e-7 4843 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| PSAaLmC-CMA-ES Nishida | 17 (2) | 5.0 (0.6) | 2.3 (0.2) | 2.3 (0.1) | 3.3 (0.1) | 3.5 (0.2) | 3.6 (0.1) | 15/15 |
| PSAaLmD-CMA-ES Nishida | 16 (2) | 4.9 (0.3) | 2.2 (0.2) | 2.2 (0.1) | 2.3 (0.1) | 2.6 (0.1) | 2.9 (0.1) | 15/15 |
| PSAaSmC-CMA-ES Nishida | 13 (2) | 4.1 (0.7) | 2.0 (0.4) | 2.0 (0.4) | 1.9 (0.4) | 2.8 (0.2) | 2.9 (0.1) | 15/15 |
| PSAaSmD-CMA-ES Nishida | 13 (2) | 4.7 (1) | 15 (0.7) | 14 (0.8) | 14 (10) | 17 (34) | 15 (29) | 15/15 |
| Δ fopt f12, 10-D |
1e1 515 |
1e0 896 |
1e-1 1240 |
1e-2 1390 |
1e-3 1569 |
1e-5 3660 |
1e-7 5154 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| PSAaLmC-CMA-ES Nishida | 15 (2) | 22 (2) | 30 (59) | 134 (189) | 357 (593) | 1148 (1998) | 842 (1197) | 3/15 |
| PSAaLmD-CMA-ES Nishida | 16 (2) | 83 (166) | 344 (412) | 763 (1007) | 2185 (1310) | 1952 (1356) | 2779 (3133) | 1/15 |
| PSAaSmC-CMA-ES Nishida | 13 (2) | 102 (287) | 123 (269) | 166 (242) | 406 (544) | 3885 (8047) | 2759 (3254) | 1/15 |
| PSAaSmD-CMA-ES Nishida | 12 (1) | 59 (2) | 94 (212) | 269 (278) | 952 (1600) | 3941 (4522) | 2799 (3234) | 1/15 |
| Δ fopt f13, 10-D |
1e1 387 |
1e0 596 |
1e-1 797 |
1e-2 1014 |
1e-3 4587 |
1e-5 6208 |
1e-7 7779 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| PSAaLmC-CMA-ES Nishida | 7.9 (1.0) | 10 (0.8) | 11 (0.7) | 12 (0.6) | 3.4 (0.1) | 3.5 (0.1) | 3.6 (0.1) | 15/15 |
| PSAaLmD-CMA-ES Nishida | 8.6 (2) | 10 (1) | 12 (0.6) | 12 (0.6) | 3.4 (0.1) | 3.5 (0.1) | 3.6 (0.1) | 15/15 |
| PSAaSmC-CMA-ES Nishida | 6.9 (0.8) | 8.4 (0.6) | 9.2 (0.3) | 10 (0.5) | 2.6 (0.1) | 2.7 (0.1) | 2.8 (0.1) | 15/15 |
| PSAaSmD-CMA-ES Nishida | 7.2 (0.5) | 8.4 (0.5) | 9.3 (0.4) | 10 (0.4) | 2.6 (0.1) | 2.7 (0.1) | 2.8 (0.1) | 15/15 |
| Δ fopt f14, 10-D |
1e1 37 |
1e0 98 |
1e-1 133 |
1e-2 205 |
1e-3 392 |
1e-5 687 |
1e-7 4305 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| PSAaLmC-CMA-ES Nishida | 7.0 (3) | 11 (3) | 13 (3) | 15 (3) | 13 (1) | 13 (0.8) | 3.1 (0.1) | 15/15 |
| PSAaLmD-CMA-ES Nishida | 7.3 (6) | 11 (2) | 14 (4) | 16 (3) | 13 (2) | 14 (0.6) | 3.1 (0.2) | 15/15 |
| PSAaSmC-CMA-ES Nishida | 5.9 (4) | 9.2 (3) | 11 (2) | 12 (1) | 11 (1) | 11 (0.6) | 2.5 (0.1) | 15/15 |
| PSAaSmD-CMA-ES Nishida | 8.4 (4) | 10 (2) | 13 (1) | 13 (2) | 11 (1.0) | 11 (0.9) | 2.5 (0.1) | 15/15 |
| Δ fopt f15, 10-D |
1e1 4774 |
1e0 39246 |
1e-1 73643 |
1e-2 74669 |
1e-3 75790 |
1e-5 77814 |
1e-7 79834 |
#succ 12/15 |
|---|---|---|---|---|---|---|---|---|
| PSAaLmC-CMA-ES Nishida | 19 (13) | 4.9 (1) | 2.6 (0.6) | 2.6 (0.6) | 2.6 (0.5) | 2.6 (0.5) | 2.5 (0.5) | 15/15 |
| PSAaLmD-CMA-ES Nishida | 20 (17) | 5.6 (0.6) | 3.0 (0.2) | 3.0 (0.2) | 3.0 (0.2) | 2.9 (0.2) | 2.9 (0.2) | 15/15 |
| PSAaSmC-CMA-ES Nishida | 9.3 (4) | 1.4 (0.5) | 0.77 (0.2) | 0.77 (0.2) | 0.78 (0.2) | 0.79 (0.2) | 0.80 (0.2) | 15/15 |
| PSAaSmD-CMA-ES Nishida | 10 (5) | 1.6 (0.5) | 1.1 (0.8) | 1.1 (0.7) | 1.1 (0.7) | 1.1 (0.7) | 1.1 (0.7) | 15/15 |
| Δ fopt f16, 10-D |
1e1 425 |
1e0 7029 |
1e-1 15779 |
1e-2 45669 |
1e-3 51151 |
1e-5 65798 |
1e-7 71570 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| PSAaLmC-CMA-ES Nishida | 74 (71) | 247 (177) | 111 (160) | 38 (29) | 34 (32) | 27 (29) | 25 (32) | 7/15 |
| PSAaLmD-CMA-ES Nishida | 39 (59) | 233 (221) | 104 (110) | 36 (33) | 32 (54) | 25 (27) | 23 (20) | 7/15 |
| PSAaSmC-CMA-ES Nishida | 46 (57) | 38 (51) | 17 (23) | 5.9 (8) | 5.3 (7) | 4.2 (5) | 3.9 (5) | 14/15 |
| PSAaSmD-CMA-ES Nishida | 49 (50) | 37 (49) | 17 (22) | 5.8 (8) | 5.3 (7) | 4.2 (5) | 3.9 (5) | 14/15 |
| Δ fopt f17, 10-D |
1e1 26 |
1e0 429 |
1e-1 2203 |
1e-2 6329 |
1e-3 9851 |
1e-5 20190 |
1e-7 26503 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| PSAaLmC-CMA-ES Nishida | 6.5 (5) | 3.6 (0.8) | 1.9 (0.4) | 1.8 (0.2) | 1.7 (0.2) | 1.5 (0.1) | 1.6 (0.1) | 15/15 |
| PSAaLmD-CMA-ES Nishida | 6.5 (6) | 3.8 (1) | 2.2 (0.3) | 1.8 (0.1) | 1.7 (0.1) | 1.5 (0.1) | 1.6 (0.1) | 15/15 |
| PSAaSmC-CMA-ES Nishida | 5.6 (5) | 3.3 (0.5) | 1.7 (0.2) | 1.3 (0.1) | 1.2 (0.1) | 1.1 (0.1) | 1.1 (0.0) | 15/15 |
| PSAaSmD-CMA-ES Nishida | 4.2 (4) | 3.3 (0.7) | 1.8 (0.4) | 1.3 (0.1) | 1.2 (0.1) | 1.1 (0.1) | 1.1 (0.0) | 15/15 |
| Δ fopt f18, 10-D |
1e1 238 |
1e0 836 |
1e-1 7012 |
1e-2 15928 |
1e-3 27536 |
1e-5 37234 |
1e-7 42708 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| PSAaLmC-CMA-ES Nishida | 3.1 (0.9) | 3.3 (0.7) | 1.3 (0.2) | 0.97 (0.1) | 0.78 (0.0)↑0 | 0.90 (0.0)↑0 | 1.1 (0.0) | 15/15 |
| PSAaLmD-CMA-ES Nishida | 3.8 (1) | 3.7 (0.9) | 1.2 (0.1) | 0.99 (0.1) | 1.1 (0.0) | 1.1 (0.0) | 1.3 (0.0) | 15/15 |
| PSAaSmC-CMA-ES Nishida | 3.4 (2) | 3.1 (0.7) | 0.97 (0.1) | 0.71 (0.0)↑0 | 0.55 (0.0)↑0 | 0.66 (0.0)↑0 | 0.78 (0.0)↑0 | 15/15 |
| PSAaSmD-CMA-ES Nishida | 3.4 (1) | 3.0 (0.8) | 0.94 (0.1) | 0.69 (0.1)↑0 | 0.53 (0.0)↑0 | 0.64 (0.0)↑0 | 0.75 (0.0)★↑0 | 15/15 |
| Δ fopt f19, 10-D |
1e1 1 |
1e0 1 |
1e-1 10609 |
1e-2 9.8e5 |
1e-3 1.4e6 |
1e-5 1.4e6 |
1e-7 1.4e6 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| PSAaLmC-CMA-ES Nishida | 145 (108) | 1.5e5 (6e4) | 38 (5) | 0.42 (0.1)↑0 | 0.30 (0.0)↑0 | 0.30 (0.0)↑0 | 0.30 (0.0)↑0 | 15/15 |
| PSAaLmD-CMA-ES Nishida | 173 (120) | 1.8e5 (1e5) | 37 (4) | 0.41 (0.0)↑0 | 0.29 (0.0)↑0 | 0.29 (0.0)↑0 | 0.29 (0.0)↑0 | 15/15 |
| PSAaSmC-CMA-ES Nishida | 91 (75) | 7.5e4 (4e4) | 13 (3) | 0.15 (0.0)↑0 | 0.22 (0.3)↑1 | 0.22 (0.3)↑1 | 0.22 (0.3)↑1 | 14/15 |
| PSAaSmD-CMA-ES Nishida | 105 (104) | 7.6e4 (4e4) | 12 (3) | 0.18 (0.1)↑0 | 0.21 (0.2)↑1 | 0.22 (0.2)↑1 | 0.23 (0.2)↑1 | 14/15 |
| Δ fopt f20, 10-D |
1e1 32 |
1e0 15426 |
1e-1 5.5e5 |
1e-2 5.7e5 |
1e-3 5.7e5 |
1e-5 5.8e5 |
1e-7 5.9e5 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| PSAaLmC-CMA-ES Nishida | 15 (6) | 8.8 (4) | 3.8 (4) | 3.7 (3) | 3.6 (3) | 3.6 (4) | 3.5 (4) | 6/15 |
| PSAaLmD-CMA-ES Nishida | 11 (4) | 10 (4) | 5.8 (8) | 5.7 (5) | 5.6 (7) | 5.5 (5) | 5.5 (4) | 4/15 |
| PSAaSmC-CMA-ES Nishida | 12 (6) | 2.3 (0.9) | ∞ | ∞ | ∞ | ∞ | ∞1e6 | 0/15 |
| PSAaSmD-CMA-ES Nishida | 10 (3) | 2.8 (0.9) | 27 (27) | 26 (35) | 26 (22) | 25 (28) | 25 (26) | 1/15 |
| Δ fopt f21, 10-D |
1e1 130 |
1e0 2236 |
1e-1 4392 |
1e-2 4487 |
1e-3 4618 |
1e-5 5074 |
1e-7 11329 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| PSAaLmC-CMA-ES Nishida | 25 (70) | 37 (30) | 32 (34) | 31 (33) | 31 (32) | 28 (29) | 13 (13) | 15/15 |
| PSAaLmD-CMA-ES Nishida | 20 (9) | 79 (54) | 45 (28) | 44 (27) | 43 (26) | 39 (24) | 18 (11) | 14/15 |
| PSAaSmC-CMA-ES Nishida | 13 (6) | 31 (31) | 31 (38) | 31 (37) | 30 (36) | 28 (33) | 12 (15) | 15/15 |
| PSAaSmD-CMA-ES Nishida | 41 (66) | 47 (43) | 47 (47) | 46 (46) | 45 (45) | 41 (41) | 18 (18) | 14/15 |
| Δ fopt f22, 10-D |
1e1 98 |
1e0 2839 |
1e-1 6353 |
1e-2 6620 |
1e-3 6798 |
1e-5 8296 |
1e-7 10351 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| PSAaLmC-CMA-ES Nishida | 210 (429) | 118 (176) | 271 (302) | 260 (259) | 253 (196) | 208 (197) | 167 (172) | 7/15 |
| PSAaLmD-CMA-ES Nishida | 190 (235) | 180 (235) | 245 (283) | 235 (294) | 229 (253) | 188 (247) | 151 (126) | 7/15 |
| PSAaSmC-CMA-ES Nishida | 130 (144) | 137 (184) | 364 (364) | 349 (460) | 340 (487) | 279 (327) | 224 (155) | 5/15 |
| PSAaSmD-CMA-ES Nishida | 122 (179) | 124 (303) | 683 (706) | 655 (1018) | 638 (681) | 523 (618) | 419 (375) | 3/15 |
| Δ fopt f23, 10-D |
1e1 3.0 |
1e0 915 |
1e-1 16425 |
1e-2 1.8e5 |
1e-3 2.0e5 |
1e-5 2.1e5 |
1e-7 2.1e5 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| PSAaLmC-CMA-ES Nishida | 2.0 (2) | 700 (681) | ∞ | ∞ | ∞ | ∞ | ∞1e6 | 0/15 |
| PSAaLmD-CMA-ES Nishida | 2.3 (2) | 321 (183) | ∞ | ∞ | ∞ | ∞ | ∞1e6 | 0/15 |
| PSAaSmC-CMA-ES Nishida | 3.0 (3) | 491 (401) | ∞ | ∞ | ∞ | ∞ | ∞1e6 | 0/15 |
| PSAaSmD-CMA-ES Nishida | 1.8 (2) | 382 (352) | ∞ | ∞ | ∞ | ∞ | ∞1e6 | 0/15 |
| Δ fopt f24, 10-D |
1e1 98761 |
1e0 1.0e6 |
1e-1 7.5e7 |
1e-2 7.5e7 |
1e-3 7.5e7 |
1e-5 7.5e7 |
1e-7 7.5e7 |
#succ 1/15 |
|---|---|---|---|---|---|---|---|---|
| PSAaLmC-CMA-ES Nishida | ∞ | ∞ | ∞ | ∞ | ∞ | ∞ | ∞1e6 | 0/15 |
| PSAaLmD-CMA-ES Nishida | ∞ | ∞ | ∞ | ∞ | ∞ | ∞ | ∞1e6 | 0/15 |
| PSAaSmC-CMA-ES Nishida | 70 (65) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞1e6 | 0/15 |
| PSAaSmD-CMA-ES Nishida | 143 (185) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞1e6 | 0/15 |
Previous dimension | Dimension = 20 | Next dimension
| Δ fopt f1, 20-D |
1e1 43 |
1e0 43 |
1e-1 43 |
1e-2 43 |
1e-3 43 |
1e-5 43 |
1e-7 43 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| PSAaLmC-CMA-ES Nishida | 20 (3) | 51 (7) | 118 (23) | 306 (39) | 519 (45) | 951 (35) | 1375 (48) | 15/15 |
| PSAaLmD-CMA-ES Nishida | 29 (7) | 64 (18) | 142 (24) | 323 (34) | 563 (39) | 1018 (34) | 1471 (34) | 15/15 |
| PSAaSmC-CMA-ES Nishida | 19 (7) | 47 (13) | 105 (18) | 218 (36)★2 | 376 (21)★3 | 675 (32)★4 | 981 (41)★4 | 15/15 |
| PSAaSmD-CMA-ES Nishida | 25 (7) | 60 (12) | 138 (28) | 276 (36) | 455 (37) | 782 (34) | 1108 (25) | 15/15 |
| Δ fopt f2, 20-D |
1e1 385 |
1e0 386 |
1e-1 387 |
1e-2 388 |
1e-3 390 |
1e-5 391 |
1e-7 393 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| PSAaLmC-CMA-ES Nishida | 66 (6) | 76 (7) | 89 (7) | 108 (8) | 132 (7) | 181 (7) | 226 (8) | 15/15 |
| PSAaLmD-CMA-ES Nishida | 74 (7) | 86 (6) | 98 (6) | 118 (7) | 144 (7) | 195 (8) | 243 (8) | 15/15 |
| PSAaSmC-CMA-ES Nishida | 45 (5)★4 | 52 (6)★3 | 59 (6)★3 | 69 (6)★4 | 82 (11)★3 | 114 (10)★3 | 146 (12)★4 | 15/15 |
| PSAaSmD-CMA-ES Nishida | 58 (6) | 66 (6) | 74 (6) | 85 (4) | 101 (7) | 138 (10) | 174 (6) | 15/15 |
| Δ fopt f3, 20-D |
1e1 5066 |
1e0 7626 |
1e-1 7635 |
1e-2 7637 |
1e-3 7643 |
1e-5 7646 |
1e-7 7651 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| PSAaLmC-CMA-ES Nishida | 847 (986) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞2e6 | 0/15 |
| PSAaLmD-CMA-ES Nishida | 635 (598) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞2e6 | 0/15 |
| PSAaSmC-CMA-ES Nishida | 95 (50) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞2e6 | 0/15 |
| PSAaSmD-CMA-ES Nishida | 102 (58) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞2e6 | 0/15 |
| Δ fopt f4, 20-D |
1e1 4722 |
1e0 7628 |
1e-1 7666 |
1e-2 7686 |
1e-3 7700 |
1e-5 7758 |
1e-7 1.4e5 |
#succ 9/15 |
|---|---|---|---|---|---|---|---|---|
| PSAaLmC-CMA-ES Nishida | ∞ | ∞ | ∞ | ∞ | ∞ | ∞ | ∞2e6 | 0/15 |
| PSAaLmD-CMA-ES Nishida | ∞ | ∞ | ∞ | ∞ | ∞ | ∞ | ∞2e6 | 0/15 |
| PSAaSmC-CMA-ES Nishida | ∞ | ∞ | ∞ | ∞ | ∞ | ∞ | ∞2e6 | 0/15 |
| PSAaSmD-CMA-ES Nishida | ∞ | ∞ | ∞ | ∞ | ∞ | ∞ | ∞2e6 | 0/15 |
| Δ fopt f5, 20-D |
1e1 41 |
1e0 41 |
1e-1 41 |
1e-2 41 |
1e-3 41 |
1e-5 41 |
1e-7 41 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| PSAaLmC-CMA-ES Nishida | 32 (8) | 40 (10) | 41 (10) | 41 (10) | 41 (10) | 41 (10) | 41 (10) | 15/15 |
| PSAaLmD-CMA-ES Nishida | 50 (14) | 62 (16) | 64 (14) | 65 (16) | 65 (16) | 65 (16) | 65 (16) | 15/15 |
| PSAaSmC-CMA-ES Nishida | 30 (9) | 39 (12) | 40 (13) | 40 (13) | 40 (13) | 40 (13) | 40 (13) | 15/15 |
| PSAaSmD-CMA-ES Nishida | 49 (12) | 61 (16) | 63 (18) | 63 (18) | 63 (18) | 63 (18) | 63 (18) | 15/15 |
| Δ fopt f6, 20-D |
1e1 1296 |
1e0 2343 |
1e-1 3413 |
1e-2 4255 |
1e-3 5220 |
1e-5 6728 |
1e-7 8409 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| PSAaLmC-CMA-ES Nishida | 11 (0.9) | 10 (0.8) | 10 (0.3) | 10 (0.6) | 10 (0.5) | 11 (0.4) | 11 (0.4) | 15/15 |
| PSAaLmD-CMA-ES Nishida | 14 (1) | 12 (0.7) | 12 (0.7) | 12 (0.5) | 12 (0.6) | 13 (0.3) | 13 (0.4) | 15/15 |
| PSAaSmC-CMA-ES Nishida | 7.0 (0.8)★4 | 6.1 (0.7)★4 | 5.7 (0.7)★4 | 5.7 (0.6)★4 | 5.7 (0.6)★4 | 6.1 (0.5)★4 | 6.2 (0.4)★4 | 15/15 |
| PSAaSmD-CMA-ES Nishida | 10 (0.8) | 8.6 (0.7) | 8.0 (0.6) | 8.1 (0.6) | 8.1 (0.6) | 8.4 (0.6) | 8.5 (0.4) | 15/15 |
| Δ fopt f7, 20-D |
1e1 1351 |
1e0 4274 |
1e-1 9503 |
1e-2 16523 |
1e-3 16524 |
1e-5 16524 |
1e-7 16969 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| PSAaLmC-CMA-ES Nishida | 3.0 (0.8) | 2.3 (0.4) | 1.6 (0.3) | 1.7 (0.2) | 1.7 (0.2) | 1.7 (0.2) | 1.7 (0.2) | 15/15 |
| PSAaLmD-CMA-ES Nishida | 3.7 (0.9) | 2.6 (0.6) | 1.7 (0.2) | 1.8 (0.2) | 1.9 (0.3) | 1.9 (0.3) | 1.9 (0.3) | 15/15 |
| PSAaSmC-CMA-ES Nishida | 2.6 (0.7) | 1.7 (0.4)★ | 1.2 (0.2)★2 | 1.1 (0.2)★2 | 1.1 (0.2)★2 | 1.1 (0.2)★2 | 1.2 (0.2)★ | 15/15 |
| PSAaSmD-CMA-ES Nishida | 3.6 (0.7) | 2.6 (0.5) | 1.6 (0.2) | 1.3 (0.1) | 1.3 (0.1) | 1.3 (0.1) | 1.4 (0.1) | 15/15 |
| Δ fopt f8, 20-D |
1e1 2039 |
1e0 3871 |
1e-1 4040 |
1e-2 4148 |
1e-3 4219 |
1e-5 4371 |
1e-7 4484 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| PSAaLmC-CMA-ES Nishida | ∞ | ∞ | ∞ | ∞ | ∞ | ∞ | ∞2e6 | 0/15 |
| PSAaLmD-CMA-ES Nishida | ∞ | ∞ | ∞ | ∞ | ∞ | ∞ | ∞2e6 | 0/15 |
| PSAaSmC-CMA-ES Nishida | ∞ | ∞ | ∞ | ∞ | ∞ | ∞ | ∞2e6 | 0/15 |
| PSAaSmD-CMA-ES Nishida | ∞ | ∞ | ∞ | ∞ | ∞ | ∞ | ∞2e6 | 0/15 |
| Δ fopt f9, 20-D |
1e1 1716 |
1e0 3102 |
1e-1 3277 |
1e-2 3379 |
1e-3 3455 |
1e-5 3594 |
1e-7 3727 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| PSAaLmC-CMA-ES Nishida | ∞★ | ∞★ | ∞★ | ∞★ | ∞★ | ∞★ | ∞2e6★ | 0/15 |
| PSAaLmD-CMA-ES Nishida | ∞ | ∞ | ∞ | ∞ | ∞ | ∞ | ∞2e6 | 0/15 |
| PSAaSmC-CMA-ES Nishida | ∞ | ∞ | ∞ | ∞ | ∞ | ∞ | ∞2e6 | 0/15 |
| PSAaSmD-CMA-ES Nishida | ∞ | ∞ | ∞ | ∞ | ∞ | ∞ | ∞2e6 | 0/15 |
| Δ fopt f10, 20-D |
1e1 7413 |
1e0 8661 |
1e-1 10735 |
1e-2 13641 |
1e-3 14920 |
1e-5 17073 |
1e-7 17476 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| PSAaLmC-CMA-ES Nishida | 3.3 (0.3) | 3.3 (0.2) | 3.1 (0.3) | 3.1 (0.1) | 3.4 (0.2) | 4.0 (0.2) | 5.1 (0.2) | 15/15 |
| PSAaLmD-CMA-ES Nishida | 3.9 (0.4) | 3.8 (0.2) | 3.6 (0.3) | 3.4 (0.2) | 3.8 (0.2) | 4.5 (0.1) | 5.5 (0.2) | 15/15 |
| PSAaSmC-CMA-ES Nishida | 2.3 (0.3)★4 | 2.3 (0.2)★4 | 2.1 (0.2)★4 | 2.0 (0.2)★4 | 2.2 (0.3)★3 | 2.7 (0.2)★4 | 3.4 (0.1)★4 | 15/15 |
| PSAaSmD-CMA-ES Nishida | 3.1 (0.3) | 3.0 (0.1) | 2.7 (0.1) | 2.5 (0.1) | 2.7 (0.2) | 3.2 (0.2) | 4.0 (0.1) | 15/15 |
| Δ fopt f11, 20-D |
1e1 1002 |
1e0 2228 |
1e-1 6278 |
1e-2 8586 |
1e-3 9762 |
1e-5 12285 |
1e-7 14831 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| PSAaLmC-CMA-ES Nishida | 16 (1) | 8.4 (0.5) | 3.4 (0.2) | 3.2 (0.2) | 3.8 (0.2) | 4.5 (0.2) | 5.0 (0.2) | 15/15 |
| PSAaLmD-CMA-ES Nishida | 19 (1) | 9.4 (0.7) | 3.8 (0.3) | 3.6 (0.2) | 4.1 (0.2) | 4.9 (0.2) | 5.3 (0.2) | 15/15 |
| PSAaSmC-CMA-ES Nishida | 10 (0.9)★4 | 5.4 (0.5)★4 | 2.2 (0.1)★4 | 2.0 (0.2)★4 | 2.3 (0.3)★3 | 2.8 (0.2)★4 | 3.2 (0.1)★4 | 15/15 |
| PSAaSmD-CMA-ES Nishida | 13 (1) | 6.8 (0.4) | 2.8 (0.1) | 2.4 (0.1) | 2.7 (0.2) | 3.3 (0.1) | 3.8 (0.2) | 15/15 |
| Δ fopt f12, 20-D |
1e1 1042 |
1e0 1938 |
1e-1 2740 |
1e-2 3156 |
1e-3 4140 |
1e-5 12407 |
1e-7 13827 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| PSAaLmC-CMA-ES Nishida | 38 (2) | 26 (1) | 27 (2) | 47 (23) | 210 (251) | 1184 (1247) | ∞2e6 | 0/15 |
| PSAaLmD-CMA-ES Nishida | 43 (3) | 29 (2) | 55 (3) | 139 (197) | 456 (429) | ∞ | ∞2e6 | 0/15 |
| PSAaSmC-CMA-ES Nishida | 27 (1)★4 | 18 (0.9)★4 | 18 (2)★ | 53 (50) | 753 (1231) | ∞ | ∞2e6 | 0/15 |
| PSAaSmD-CMA-ES Nishida | 33 (2) | 21 (0.9) | 22 (3) | 149 (196) | 656 (891) | ∞ | ∞2e6 | 0/15 |
| Δ fopt f13, 20-D |
1e1 652 |
1e0 2021 |
1e-1 2751 |
1e-2 3507 |
1e-3 18749 |
1e-5 24455 |
1e-7 30201 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| PSAaLmC-CMA-ES Nishida | 24 (2) | 17 (1) | 19 (0.8) | 20 (0.6) | 4.7 (0.1) | 5.1 (0.1) | 5.3 (0.1) | 15/15 |
| PSAaLmD-CMA-ES Nishida | 28 (2) | 19 (0.7) | 21 (0.7) | 22 (0.4) | 5.1 (0.1) | 5.5 (0.1) | 5.7 (0.1) | 15/15 |
| PSAaSmC-CMA-ES Nishida | 18 (3)★3 | 12 (0.7)★3 | 13 (0.6)★4 | 14 (0.4)★4 | 3.3 (0.1)★4 | 3.6 (0.1)★4 | 3.7 (0.1)★4 | 15/15 |
| PSAaSmD-CMA-ES Nishida | 23 (2) | 14 (0.5) | 15 (0.5) | 16 (0.3) | 3.8 (0.1) | 4.0 (0.1) | 4.2 (0.1) | 15/15 |
| Δ fopt f14, 20-D |
1e1 75 |
1e0 239 |
1e-1 304 |
1e-2 451 |
1e-3 932 |
1e-5 1648 |
1e-7 15661 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| PSAaLmC-CMA-ES Nishida | 14 (7) | 15 (3) | 22 (4) | 32 (5) | 28 (3) | 30 (2) | 4.8 (0.1) | 15/15 |
| PSAaLmD-CMA-ES Nishida | 17 (5) | 21 (3) | 26 (3) | 37 (6) | 31 (2) | 33 (1) | 5.1 (0.3) | 15/15 |
| PSAaSmC-CMA-ES Nishida | 12 (5) | 12 (3) | 17 (3)★3 | 24 (2)★3 | 20 (2)★2 | 21 (1)★4 | 3.2 (0.1)★4 | 15/15 |
| PSAaSmD-CMA-ES Nishida | 17 (8) | 17 (4) | 23 (4) | 31 (3) | 23 (2) | 24 (1) | 3.7 (0.2) | 15/15 |
| Δ fopt f15, 20-D |
1e1 30378 |
1e0 1.5e5 |
1e-1 3.1e5 |
1e-2 3.2e5 |
1e-3 3.2e5 |
1e-5 4.5e5 |
1e-7 4.6e5 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| PSAaLmC-CMA-ES Nishida | 7.5 (6) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞2e6 | 0/15 |
| PSAaLmD-CMA-ES Nishida | 8.6 (6) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞2e6 | 0/15 |
| PSAaSmC-CMA-ES Nishida | 10 (4) | 3.6 (0.8) | 1.7 (0.4) | 1.7 (0.4) | 1.7 (0.4) | 1.3 (0.3) | 1.3 (0.3) | 15/15 |
| PSAaSmD-CMA-ES Nishida | 11 (4) | 3.4 (0.5) | 1.6 (0.2) | 1.6 (0.2) | 1.6 (0.2) | 1.2 (0.2) | 1.2 (0.2) | 15/15 |
| Δ fopt f16, 20-D |
1e1 1384 |
1e0 27265 |
1e-1 77015 |
1e-2 1.4e5 |
1e-3 1.9e5 |
1e-5 2.0e5 |
1e-7 2.2e5 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| PSAaLmC-CMA-ES Nishida | ∞ | ∞ | ∞ | ∞ | ∞ | ∞ | ∞2e6 | 0/15 |
| PSAaLmD-CMA-ES Nishida | ∞ | ∞ | ∞ | ∞ | ∞ | ∞ | ∞2e6 | 0/15 |
| PSAaSmC-CMA-ES Nishida | 1.0e4 (1e4) | 521 (548) | 185 (221) | 102 (119) | 76 (66) | 72 (64) | 65 (69) | 2/15 |
| PSAaSmD-CMA-ES Nishida | 2.1e4 (2e4) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞2e6 | 0/15 |
| Δ fopt f17, 20-D |
1e1 63 |
1e0 1030 |
1e-1 4005 |
1e-2 12242 |
1e-3 30677 |
1e-5 56288 |
1e-7 80472 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| PSAaLmC-CMA-ES Nishida | 7.1 (5) | 4.9 (0.9) | 4.9 (1) | 5.2 (0.3) | 3.1 (0.2) | 3.2 (0.1) | 3.3 (0.1) | 15/15 |
| PSAaLmD-CMA-ES Nishida | 12 (6) | 6.1 (0.6) | 5.5 (1) | 5.6 (0.3) | 3.3 (0.1) | 3.4 (0.1) | 3.5 (0.1) | 15/15 |
| PSAaSmC-CMA-ES Nishida | 8.2 (3) | 4.0 (0.9)★ | 3.9 (0.8) | 3.4 (0.2)★3 | 2.0 (0.1)★3 | 2.0 (0.1)★4 | 2.1 (0.0)★4 | 15/15 |
| PSAaSmD-CMA-ES Nishida | 12 (5) | 5.3 (0.8) | 4.3 (1.0) | 3.8 (0.2) | 2.2 (0.1) | 2.3 (0.1) | 2.3 (0.1) | 15/15 |
| Δ fopt f18, 20-D |
1e1 621 |
1e0 3972 |
1e-1 19561 |
1e-2 28555 |
1e-3 67569 |
1e-5 1.3e5 |
1e-7 1.5e5 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| PSAaLmC-CMA-ES Nishida | 4.4 (2) | 2.7 (0.5) | 2.6 (0.2) | 3.0 (0.1) | 1.8 (0.0) | 1.5 (0.0) | 2.0 (0.0) | 15/15 |
| PSAaLmD-CMA-ES Nishida | 5.4 (1) | 3.2 (0.4) | 2.8 (0.2) | 3.3 (0.2) | 1.9 (0.1) | 1.6 (0.0) | 2.1 (0.0) | 15/15 |
| PSAaSmC-CMA-ES Nishida | 3.3 (0.7) | 1.9 (0.3)★3 | 1.7 (0.1) | 2.0 (0.1)★2 | 1.2 (0.1)★3 | 0.99 (0.0)★4 | 1.2 (0.0)★4 | 15/15 |
| PSAaSmD-CMA-ES Nishida | 4.8 (1) | 2.6 (0.3) | 1.9 (0.2) | 2.2 (0.2) | 1.3 (0.1) | 1.1 (0.0) | 1.3 (0.0) | 15/15 |
| Δ fopt f19, 20-D |
1e1 1 |
1e0 1 |
1e-1 3.4e5 |
1e-2 4.7e6 |
1e-3 6.2e6 |
1e-5 6.7e6 |
1e-7 6.7e6 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| PSAaLmC-CMA-ES Nishida | 408 (140) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞2e6 | 0/15 |
| PSAaLmD-CMA-ES Nishida | 518 (178) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞2e6 | 0/15 |
| PSAaSmC-CMA-ES Nishida | 351 (180) | 3.9e6 (3e6) | 13 (14) | 0.99 (1) | 0.74 (0.7) | 0.86 (1) | 1.1 (0.9) | 4/15 |
| PSAaSmD-CMA-ES Nishida | 455 (172) | 1.6e6 (1e6) | 5.2 (3) | 0.51 (0.3) | 0.46 (0.4) | 0.48 (0.6) | 0.55 (0.4) | 7/15 |
| Δ fopt f20, 20-D |
1e1 82 |
1e0 46150 |
1e-1 3.1e6 |
1e-2 5.5e6 |
1e-3 5.5e6 |
1e-5 5.6e6 |
1e-7 5.6e6 |
#succ 14/15 |
|---|---|---|---|---|---|---|---|---|
| PSAaLmC-CMA-ES Nishida | 15 (4) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞2e6 | 0/15 |
| PSAaLmD-CMA-ES Nishida | 22 (9) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞2e6 | 0/15 |
| PSAaSmC-CMA-ES Nishida | 14 (6) | 8.9 (4) | ∞ | ∞ | ∞ | ∞ | ∞2e6 | 0/15 |
| PSAaSmD-CMA-ES Nishida | 20 (12) | 9.2 (3) | ∞ | ∞ | ∞ | ∞ | ∞2e6 | 0/15 |
| Δ fopt f21, 20-D |
1e1 561 |
1e0 6541 |
1e-1 14103 |
1e-2 14318 |
1e-3 14643 |
1e-5 15567 |
1e-7 17589 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| PSAaLmC-CMA-ES Nishida | 3.7 (3) | 188 (261) | 100 (111) | 99 (121) | 97 (103) | 92 (105) | 82 (99) | 11/15 |
| PSAaLmD-CMA-ES Nishida | 129 (239) | 104 (150) | 53 (69) | 52 (68) | 51 (67) | 48 (63) | 43 (56) | 14/15 |
| PSAaSmC-CMA-ES Nishida | 49 (75) | 120 (143) | 61 (66) | 60 (65) | 59 (64) | 55 (60) | 49 (53) | 14/15 |
| PSAaSmD-CMA-ES Nishida | 61 (85) | 126 (131) | 73 (74) | 72 (70) | 71 (80) | 67 (72) | 60 (58) | 13/15 |
| Δ fopt f22, 20-D |
1e1 467 |
1e0 5580 |
1e-1 23491 |
1e-2 24163 |
1e-3 24948 |
1e-5 26847 |
1e-7 1.3e5 |
#succ 12/15 |
|---|---|---|---|---|---|---|---|---|
| PSAaLmC-CMA-ES Nishida | 183 (230) | 171 (226) | ∞ | ∞ | ∞ | ∞ | ∞2e6 | 0/15 |
| PSAaLmD-CMA-ES Nishida | 24 (5) | 285 (457) | ∞ | ∞ | ∞ | ∞ | ∞2e6 | 0/15 |
| PSAaSmC-CMA-ES Nishida | 131 (163) | 145 (229) | ∞ | ∞ | ∞ | ∞ | ∞2e6 | 0/15 |
| PSAaSmD-CMA-ES Nishida | 196 (311) | 177 (239) | ∞ | ∞ | ∞ | ∞ | ∞2e6 | 0/15 |
| Δ fopt f23, 20-D |
1e1 3.0 |
1e0 1614 |
1e-1 67457 |
1e-2 3.7e5 |
1e-3 4.9e5 |
1e-5 8.1e5 |
1e-7 8.4e5 |
#succ 15/15 |
|---|---|---|---|---|---|---|---|---|
| PSAaLmC-CMA-ES Nishida | 4.3 (4) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞2e6 | 0/15 |
| PSAaLmD-CMA-ES Nishida | 3.1 (4) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞2e6 | 0/15 |
| PSAaSmC-CMA-ES Nishida | 2.2 (3) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞2e6 | 0/15 |
| PSAaSmD-CMA-ES Nishida | 3.5 (2) | ∞ | ∞ | ∞ | ∞ | ∞ | ∞2e6 | 0/15 |
| Δ fopt f24, 20-D |
1e1 1.3e6 |
1e0 7.5e6 |
1e-1 5.2e7 |
1e-2 5.2e7 |
1e-3 5.2e7 |
1e-5 5.2e7 |
1e-7 5.2e7 |
#succ 3/15 |
|---|---|---|---|---|---|---|---|---|
| PSAaLmC-CMA-ES Nishida | ∞ | ∞ | ∞ | ∞ | ∞ | ∞ | ∞2e6 | 0/15 |
| PSAaLmD-CMA-ES Nishida | ∞ | ∞ | ∞ | ∞ | ∞ | ∞ | ∞2e6 | 0/15 |
| PSAaSmC-CMA-ES Nishida | ∞ | ∞ | ∞ | ∞ | ∞ | ∞ | ∞2e6 | 0/15 |
| PSAaSmD-CMA-ES Nishida | ∞ | ∞ | ∞ | ∞ | ∞ | ∞ | ∞2e6 | 0/15 |
Previous dimension | Dimension = 40 | First dimension
Expected runtime (ERT in number of f-evaluations) divided by the respective best ERT measured during BBOB-2009 (when finite) in different dimensions. This ERT ratio and, in braces as dispersion measure, the half difference between 10 and 90%-tile of (bootstrapped) run lengths appear for each algorithm and target, the corresponding reference ERT in the first row. The different target ∆f-values are shown in the top row. #succ is the number of trials that reached the (final) target fopt+ 10−8. The median number of conducted function evaluations is additionally given in italics, if the target in the last column was never reached. The best entry is marked by a star when the largest p-value of pairwise rank-sum tests with the other algorithms either obeys 0.01 < p ≤ 0.05 or 10−k−1 < p ≤ 10−k when the star is followed by the number k, with Bonferroni correction by the number of functions (24). A ↑ signifies the number of trials that were worse than the ERT of the best algorithm from BBOB 2009 shown only when less than 10 percent were worse and the ERT was better. Best results are printed in bold.