( A, B )---6*m*2---( 1, 0 )( 0, 1 )
做一个3层网络分类A和B，让训练集A是3a3,5,6，B全为0. 收敛误差为7e-4，收敛199次，统计迭代次数n的平均值。
前面实验让m=20，40，60，...得到3a3的比热曲线
3a3
|---|---|---|
| 1 | 0 | 0 |
| 1 | 0 | 0 |
| 0 | 1 | 0 |
单调递减，再让m=2，4，...，60得到
|----|----------|---|----------|---------|
| m | n | | mn | Δmn |
| 2 | 225530.7 | | 451061.3 | |
| 4 | 111633.1 | | 446532.5 | -4528.9 |
| 6 | 75114.67 | | 450688 | 4155.56 |
| 8 | 58445.5 | | 467564 | 16875.9 |
| 10 | 48856.65 | | 488566.5 | 21002.5 |
| 12 | 42764.2 | | 513170.4 | 24603.9 |
| 14 | 38589.65 | | 540255.1 | 27084.8 |
| 16 | 35994.27 | | 575908.3 | 35653.1 |
| 18 | 33999.99 | | 611999.9 | 36091.6 |
| 20 | 31798.08 | | 635961.5 | 23961.6 |
| 22 | 30695.95 | | 675311 | 39349.5 |
| 24 | 29676.42 | | 712234 | 36923 |
| 26 | 28672.57 | | 745486.8 | 33252.8 |
| 28 | 27674.48 | | 774885.4 | 29398.6 |
| 30 | 26991.98 | | 809759.5 | 34874.2 |
| 32 | 26264.53 | | 840464.9 | 30705.3 |
| 34 | 25651.17 | | 872139.8 | 31674.9 |
| 36 | 25333.69 | | 912013 | 39873.2 |
| 38 | 24794.14 | | 942177.2 | 30164.2 |
| 40 | 24378.61 | | 975144.3 | 32967.2 |
| 42 | 23940.53 | | 1005502 | 30357.8 |
| 44 | 23668.77 | | 1041426 | 35923.7 |
| 46 | 23340.66 | | 1073670 | 32244.5 |
| 48 | 23008.8 | | 1104422 | 30752.1 |
| 50 | 22753.84 | | 1137692 | 33269.9 |
| 52 | 22542.34 | | 1172202 | 34509.3 |
| 54 | 22309.66 | | 1204722 | 32520.3 |
| 56 | 22046.21 | | 1234588 | 29865.7 |
| 58 | 21857.58 | | 1267740 | 33152.3 |
| 60 | 21693.95 | | 1301637 | 33897.5 |
比热曲线为
峰值在m=36
3a5
|---|---|---|
| 0 | 0 | 1 |
| 0 | 1 | 0 |
| 1 | 0 | 0 |
3a5比热曲线m=20-820
也是单调递减的
让m=2，4，...，60得到
|----|--------|---|----------|----------|
| m | n | | mn | Δmn |
| 2 | 233124 | | 466248.3 | |
| 4 | 125426 | | 501702.3 | 35453.96 |
| 6 | 88132 | | 528794.5 | 27092.18 |
| 8 | 72843 | | 582744.9 | 53950.45 |
| 10 | 62587 | | 625871.2 | 43126.28 |
| 12 | 56811 | | 681734.7 | 55863.45 |
| 14 | 52489 | | 734848.3 | 53113.6 |
| 16 | 49091 | | 785459.7 | 50611.45 |
| 18 | 46740 | | 841311.9 | 55852.25 |
| 20 | 44550 | | 890994.7 | 49682.72 |
| 22 | 43097 | | 948127.4 | 57132.69 |
| 24 | 41819 | | 1003653 | 55525.98 |
| 26 | 40502 | | 1053060 | 49406.62 |
| 28 | 39672 | | 1110807 | 57746.6 |
| 30 | 38861 | | 1165834 | 55027.35 |
| 32 | 37866 | | 1211715 | 45880.81 |
| 34 | 37126 | | 1262293 | 50577.98 |
| 36 | 36560 | | 1316151 | 53858.06 |
| 38 | 36064 | | 1370414 | 54263.47 |
| 40 | 35538 | | 1421509 | 51094.7 |
| 42 | 35029 | | 1471220 | 49710.74 |
| 44 | 34707 | | 1527119 | 55899.81 |
| 46 | 34223 | | 1574246 | 47126.94 |
| 48 | 33966 | | 1630364 | 56117.94 |
| 50 | 33566 | | 1678319 | 47954.46 |
| 52 | 33362 | | 1734816 | 56497.06 |
| 54 | 33085 | | 1786610 | 51794.18 |
| 56 | 32685 | | 1830349 | 43739.23 |
| 58 | 32452 | | 1882227 | 51877.48 |
| 60 | 32276 | | 1936575 | 54347.99 |
峰值在m=28
3a6
|---|---|---|
| 1 | 1 | 1 |
比热曲线m=20-840
让m=2，4，...，60得到
|----|---------|---|--------|---------|
| m | n | | mn | Δmn |
| 2 | 224237 | | 448474 | |
| 4 | 119096 | | 476385 | 27911.5 |
| 6 | 75063 | | 450378 | -26007 |
| 8 | 57115.8 | | 456926 | 6547.87 |
| 10 | 46782 | | 467820 | 10893.8 |
| 12 | 39714.8 | | 476578 | 8758 |
| 14 | 35240.1 | | 493362 | 16783.6 |
| 16 | 31426.7 | | 502828 | 9466.43 |
| 18 | 28788.5 | | 518193 | 15365 |
| 20 | 26690 | | 533799 | 15606.3 |
| 22 | 24877.5 | | 547304 | 13505.1 |
| 24 | 23749.4 | | 569986 | 22681.7 |
| 26 | 22538.2 | | 585993 | 16006.7 |
| 28 | 21566.6 | | 603866 | 17873 |
| 30 | 20737.8 | | 622133 | 18267.3 |
| 32 | 19996.7 | | 639894 | 17760.5 |
| 34 | 19210.3 | | 653149 | 13255.7 |
| 36 | 18770.4 | | 675734 | 22584.2 |
| 38 | 18270.2 | | 694269 | 18535.8 |
| 40 | 17668.3 | | 706731 | 12462.1 |
| 42 | 17307.8 | | 726928 | 20196.3 |
| 44 | 16930 | | 744922 | 17994.2 |
| 46 | 16646.2 | | 765727 | 20804.9 |
| 48 | 16325.5 | | 783622 | 17895.3 |
| 50 | 16049.5 | | 802476 | 18853.4 |
| 52 | 15711.4 | | 816995 | 14519.4 |
| 54 | 15428.5 | | 833137 | 16142.2 |
| 56 | 15225.4 | | 852621 | 19483.6 |
| 58 | 14990.4 | | 869443 | 16822.2 |
| 60 | 14818.5 | | 889110 | 19667.4 |
峰值m=24
整理
|-----|-----|-----|-----|-----|-----|-----|-----|-----|-----|
| | n | | | | Cv | | | | |
| | min | max | 台阶1 | 台阶2 | min | max | Tc1 | Tc2 | 负值 |
| 3a1 | 260 | 380 | 760 | 860 | 40 | 340 | 340 | | 580 |
| 3a2 | | | 845 | | | 14 | 14 | | 845 |
| 3a3 | | | 700 | 840 | | 36 | 36 | | 680 |
| 3a4 | 360 | 620 | 680 | 900 | 240 | 620 | | 620 | 680 |
| 3a5 | | | 860 | | | 28 | 28 | | 840 |
| 3a6 | | | 860 | | | 24 | 24 | | 860 |
结构3a2，3，5，6的相变温度都很低，表明结构与结构之间的作用力很弱，很像气体。