( A, B )---3*30*2---( 1, 0 )( 0, 1 )
让网络的输入只有3个节点,AB训练集各由6张二值化的图片组成,让A,B中各有3个点,且不重合,统计迭代次数并排序。
其中有10组数据
差值结构 | A-B | 迭代次数 | 构造平均列 | 平均列 | 列排斥能 | ||||||
2 | 2 | 2 | 0*4*4*4*0*0-7*0*0*0*0*0 | 38758.9 | 1 | -1 | -1 | -1 | 1 | 28 | 28 |
1 | - | - | 0*4*4*4*0*0-7*0*0*0*0*0 | 38758.9 | 1 | 3 | 3 | 28 | |||
1 | - | - | 0*4*4*4*0*0-7*0*0*0*0*0 | 38758.9 | 1 | 3 | 3 | 28 | |||
1 | - | - | 0*4*4*4*0*0-7*0*0*0*0*0 | 38758.9 | 1 | 3 | 3 | 28 | |||
- | - | - | 0*4*4*4*0*0-7*0*0*0*0*0 | 38758.9 | 1 | 0 | 28 | ||||
- | - | - | 0*4*4*4*0*0-7*0*0*0*0*0 | 38758.9 | 1 | 0 | 28 | ||||
1 | 28 | ||||||||||
2 | 2 | 2 | 0*0*2*2*2*0-7*0*0*0*0*0 | 39175.83 | 2 | -1 | -1 | -1 | 1 | 25.8 | 25.75 |
- | - | - | 0*0*2*2*2*0-7*0*0*0*0*0 | 39175.83 | 2 | 0 | 25.75 | ||||
- | 1 | - | 0*0*2*2*2*0-7*0*0*0*0*0 | 39175.83 | 2 | 3 | 3 | 25.75 | |||
- | 1 | - | 0*0*2*2*2*0-7*0*0*0*0*0 | 39175.83 | 2 | 3 | 3 | 25.75 | |||
- | 1 | - | 0*0*2*2*2*0-7*0*0*0*0*0 | 39175.83 | 2 | 3 | 3 | 25.75 | |||
- | - | - | 0*0*2*2*2*0-7*0*0*0*0*0 | 39175.83 | 2 | 0 | 25.75 | ||||
2 | 25.75 | ||||||||||
2 | 2 | 2 | 0*0*0*1*1*1-7*0*0*0*0*0 | 39498.34 | 3 | -1 | -1 | -1 | 1 | 24.9 | 24.85 |
- | - | - | 0*0*0*1*1*1-7*0*0*0*0*0 | 39498.34 | 3 | 0 | 24.85 | ||||
- | - | - | 0*0*0*1*1*1-7*0*0*0*0*0 | 39498.34 | 3 | 0 | 24.85 | ||||
- | - | 1 | 0*0*0*1*1*1-7*0*0*0*0*0 | 39498.34 | 3 | 3 | 3 | 24.85 | |||
- | - | 1 | 0*0*0*1*1*1-7*0*0*0*0*0 | 39498.34 | 3 | 3 | 3 | 24.85 | |||
- | - | 1 | 0*0*0*1*1*1-7*0*0*0*0*0 | 39498.34 | 3 | 3 | 3 | 24.85 | |||
3 | 24.85 | ||||||||||
2 | 2 | 2 | 0*2*2*0*2*0-7*0*0*0*0*0 | 40361.41 | 4 | -1 | -1 | -1 | 1 | 21.8 | 21.75 |
- | 1 | - | 0*2*2*0*2*0-7*0*0*0*0*0 | 40361.41 | 4 | 3 | 3 | 21.75 | |||
- | 1 | - | 0*2*2*0*2*0-7*0*0*0*0*0 | 40361.41 | 4 | 3 | 3 | 21.75 | |||
- | - | - | 0*2*2*0*2*0-7*0*0*0*0*0 | 40361.41 | 4 | 0 | 21.75 | ||||
- | 1 | - | 0*2*2*0*2*0-7*0*0*0*0*0 | 40361.41 | 4 | 3 | 3 | 21.75 | |||
- | - | - | 0*2*2*0*2*0-7*0*0*0*0*0 | 40361.41 | 4 | 0 | 21.75 | ||||
4 | 21.75 | ||||||||||
2 | 2 | 2 | 0*0*2*2*0*2-7*0*0*0*0*0 | 40812.24 | 5 | -1 | -1 | -1 | 1 | 19.6 | 19.6 |
- | - | - | 0*0*2*2*0*2-7*0*0*0*0*0 | 40812.24 | 5 | 0 | 19.6 | ||||
- | 1 | - | 0*0*2*2*0*2-7*0*0*0*0*0 | 40812.24 | 5 | 3 | 3 | 19.6 | |||
- | 1 | - | 0*0*2*2*0*2-7*0*0*0*0*0 | 40812.24 | 5 | 3 | 3 | 19.6 | |||
- | - | - | 0*0*2*2*0*2-7*0*0*0*0*0 | 40812.24 | 5 | 0 | 19.6 | ||||
- | 1 | - | 0*0*2*2*0*2-7*0*0*0*0*0 | 40812.24 | 5 | 3 | 3 | 19.6 | |||
5 | 19.6 | ||||||||||
2 | 2 | 2 | 0*4*0*4*4*0-7*0*0*0*0*0 | 41090.52 | 6 | -1 | -1 | -1 | 1 | 21.3 | 21.25 |
1 | - | - | 0*4*0*4*4*0-7*0*0*0*0*0 | 41090.52 | 6 | 3 | 3 | 21.25 | |||
- | - | - | 0*4*0*4*4*0-7*0*0*0*0*0 | 41090.52 | 6 | 0 | 21.25 | ||||
1 | - | - | 0*4*0*4*4*0-7*0*0*0*0*0 | 41090.52 | 6 | 3 | 3 | 21.25 | |||
1 | - | - | 0*4*0*4*4*0-7*0*0*0*0*0 | 41090.52 | 6 | 3 | 3 | 21.25 | |||
- | - | - | 0*4*0*4*4*0-7*0*0*0*0*0 | 41090.52 | 6 | 0 | 21.25 | ||||
6 | 21.25 | ||||||||||
2 | 2 | 2 | 0*2*2*0*0*2-7*0*0*0*0*0 | 41776.81 | 7 | -1 | -1 | -1 | 1 | 19.4 | 19.35 |
- | 1 | - | 0*2*2*0*0*2-7*0*0*0*0*0 | 41776.81 | 7 | 3 | 3 | 19.35 | |||
- | 1 | - | 0*2*2*0*0*2-7*0*0*0*0*0 | 41776.81 | 7 | 3 | 3 | 19.35 | |||
- | - | - | 0*2*2*0*0*2-7*0*0*0*0*0 | 41776.81 | 7 | 0 | 19.35 | ||||
- | - | - | 0*2*2*0*0*2-7*0*0*0*0*0 | 41776.81 | 7 | 0 | 19.35 | ||||
- | 1 | - | 0*2*2*0*0*2-7*0*0*0*0*0 | 41776.81 | 7 | 3 | 3 | 19.35 | |||
7 | 19.35 | ||||||||||
2 | 2 | 2 | 0*0*4*0*4*4-7*0*0*0*0*0 | 41833.74 | 8 | -1 | -1 | -1 | 1 | 19.4 | 19.35 |
- | - | - | 0*0*4*0*4*4-7*0*0*0*0*0 | 41833.74 | 8 | 0 | 19.35 | ||||
1 | - | - | 0*0*4*0*4*4-7*0*0*0*0*0 | 41833.74 | 8 | 3 | 3 | 19.35 | |||
- | - | - | 0*0*4*0*4*4-7*0*0*0*0*0 | 41833.74 | 8 | 0 | 19.35 | ||||
1 | - | - | 0*0*4*0*4*4-7*0*0*0*0*0 | 41833.74 | 8 | 3 | 3 | 19.35 | |||
1 | - | - | 0*0*4*0*4*4-7*0*0*0*0*0 | 41833.74 | 8 | 3 | 3 | 19.35 | |||
8 | 19.35 | ||||||||||
2 | 2 | 2 | 0*4*0*0*4*4-7*0*0*0*0*0 | 42547.79 | 9 | -1 | -1 | -1 | 1 | 18.6 | 18.6 |
1 | - | - | 0*4*0*0*4*4-7*0*0*0*0*0 | 42547.79 | 9 | 3 | 3 | 18.6 | |||
- | - | - | 0*4*0*0*4*4-7*0*0*0*0*0 | 42547.79 | 9 | 0 | 18.6 | ||||
- | - | - | 0*4*0*0*4*4-7*0*0*0*0*0 | 42547.79 | 9 | 0 | 18.6 | ||||
1 | - | - | 0*4*0*0*4*4-7*0*0*0*0*0 | 42547.79 | 9 | 3 | 3 | 18.6 | |||
1 | - | - | 0*4*0*0*4*4-7*0*0*0*0*0 | 42547.79 | 9 | 3 | 3 | 18.6 | |||
9 | 18.6 | ||||||||||
2 | 2 | 2 | 0*1*0*1*0*1-7*0*0*0*0*0 | 43042.12 | 10 | -1 | -1 | -1 | 1 | 15.9 | 15.85 |
- | - | 1 | 0*1*0*1*0*1-7*0*0*0*0*0 | 43042.12 | 10 | 3 | 3 | 15.85 | |||
- | - | - | 0*1*0*1*0*1-7*0*0*0*0*0 | 43042.12 | 10 | 0 | 15.85 | ||||
- | - | 1 | 0*1*0*1*0*1-7*0*0*0*0*0 | 43042.12 | 10 | 3 | 3 | 15.85 | |||
- | - | - | 0*1*0*1*0*1-7*0*0*0*0*0 | 43042.12 | 10 | 0 | 15.85 | ||||
- | - | 1 | 0*1*0*1*0*1-7*0*0*0*0*0 | 43042.12 | 10 | 3 | 3 | 15.85 | |||
10 | 15.85 | ||||||||||
特别值得注意的是1,2,3组,
2 | 2 | 2 | 0*4*4*4*0*0-7*0*0*0*0*0 | 38758.9 | 1 |
1 | - | - | 0*4*4*4*0*0-7*0*0*0*0*0 | 38758.9 | 1 |
1 | - | - | 0*4*4*4*0*0-7*0*0*0*0*0 | 38758.9 | 1 |
1 | - | - | 0*4*4*4*0*0-7*0*0*0*0*0 | 38758.9 | 1 |
- | - | - | 0*4*4*4*0*0-7*0*0*0*0*0 | 38758.9 | 1 |
- | - | - | 0*4*4*4*0*0-7*0*0*0*0*0 | 38758.9 | 1 |
1 | |||||
2 | 2 | 2 | 0*0*2*2*2*0-7*0*0*0*0*0 | 39175.83 | 2 |
- | - | - | 0*0*2*2*2*0-7*0*0*0*0*0 | 39175.83 | 2 |
- | 1 | - | 0*0*2*2*2*0-7*0*0*0*0*0 | 39175.83 | 2 |
- | 1 | - | 0*0*2*2*2*0-7*0*0*0*0*0 | 39175.83 | 2 |
- | 1 | - | 0*0*2*2*2*0-7*0*0*0*0*0 | 39175.83 | 2 |
- | - | - | 0*0*2*2*2*0-7*0*0*0*0*0 | 39175.83 | 2 |
2 | |||||
2 | 2 | 2 | 0*0*0*1*1*1-7*0*0*0*0*0 | 39498.34 | 3 |
- | - | - | 0*0*0*1*1*1-7*0*0*0*0*0 | 39498.34 | 3 |
- | - | - | 0*0*0*1*1*1-7*0*0*0*0*0 | 39498.34 | 3 |
- | - | 1 | 0*0*0*1*1*1-7*0*0*0*0*0 | 39498.34 | 3 |
- | - | 1 | 0*0*0*1*1*1-7*0*0*0*0*0 | 39498.34 | 3 |
- | - | 1 | 0*0*0*1*1*1-7*0*0*0*0*0 | 39498.34 | 3 |
3 |
如果A-B的迭代次数仅取决于A和B的排斥能则无法解释为什么1,2,3的迭代次数不一致。因此有理由假设在A和B之间存在第二种排斥作用,因此总的排斥能为
这里B只有1行,EB是常数不影响E的排序。区别与EA的计算方法,计算EAB的B值取1而不是3.则得到
列排斥能E和迭代次数的反比关系。