( 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5张二值化的图片组成,让A中分别有2,3,4个1,成0,45,90度。B中全是0,统计迭代次数并排序。
得到9组数据
| 迭代次数 | 迭代次数 | 迭代次数 | |||||||||||||
| 90 | 0 | 0 | 0 | 48757 | > | 0 | 1 | 0 | 30302.16 | > | 0 | 0 | 0 | 0 | 22074.99 |
| 0 | 0 | 0 | 48757 | 0 | 1 | 0 | 30302.16 | 0 | 0 | 1 | 0 | 22074.99 | |||
| 0 | 0 | 0 | 48757 | 0 | 1 | 0 | 30302.16 | 0 | 0 | 1 | 0 | 22074.99 | |||
| 0 | 0 | 1 | 48757 | 0 | 0 | 0 | 30302.16 | 0 | 0 | 1 | 0 | 22074.99 | |||
| 0 | 0 | 1 | 48757 | 0 | 0 | 0 | 30302.16 | 0 | 0 | 1 | 0 | 22074.99 | |||
| 45 | 0 | 0 | 0 | 66503.84 | > | 1 | 0 | 0 | 49777.87 | > | 0 | 0 | 0 | 1 | 39571.72 |
| 0 | 0 | 0 | 66503.84 | 0 | 1 | 0 | 49777.87 | 0 | 0 | 1 | 0 | 39571.72 | |||
| 0 | 0 | 0 | 66503.84 | 0 | 0 | 1 | 49777.87 | 0 | 1 | 0 | 0 | 39571.72 | |||
| 0 | 1 | 0 | 66503.84 | 0 | 0 | 0 | 49777.87 | 1 | 0 | 0 | 0 | 39571.72 | |||
| 0 | 0 | 1 | 66503.84 | 0 | 0 | 0 | 49777.87 | 0 | 0 | 0 | 0 | 39571.72 | |||
| 0 | 0 | 0 | 0 | 85401.86 | > | 1 | 1 | 1 | 76203.56 | > | 0 | 0 | 0 | 0 | 69983.07 |
| 0 | 0 | 0 | 85401.86 | 0 | 0 | 0 | 76203.56 | 0 | 0 | 0 | 0 | 69983.07 | |||
| 0 | 0 | 0 | 85401.86 | 0 | 0 | 0 | 76203.56 | 0 | 0 | 0 | 0 | 69983.07 | |||
| 0 | 0 | 0 | 85401.86 | 0 | 0 | 0 | 76203.56 | 1 | 1 | 1 | 1 | 69983.07 | |||
| 0 | 1 | 1 | 85401.86 | 0 | 0 | 0 | 76203.56 | 0 | 0 | 0 | 0 | 69983.07 |
收敛误差为7e-4,收敛199次,取迭代次数平均值
观察得到,在点数量相同的条件下结构的迭代次数与角度成反比。在倾角相同的情况下迭代次数与点数量成反比 。
横向数量越多迭代次数越小,纵向角度越大迭代次数越小。所以横向和纵向都是一种线性的变换。所以这明确的提示了所有的结构都可以变换成数量和角度的函数实现严格的比较。或者也可以理解成旋转半径相同的情况下旋转角度越大迭代次数越小,在旋转角度相同的情况下旋转半径越大迭代次数越小。
所以迭代次数和旋转角度和旋转半径成反比。
| 迭代次数 | 迭代次数 | ||||||||
| 0 | 0 | 0 | 48757 | - | - | - | 39014.4 | ||
| 0 | 0 | 0 | 48757 | - | - | - | 39014.4 | ||
| 0 | 0 | 0 | 48757 | - | - | - | 39014.4 | ||
| 0 | 0 | 1 | 48757 | - | 1 | 1 | 39014.4 | ||
| 0 | 0 | 1 | 48757 | - | 1 | 1 | 39014.4 | ||
| 39014.4 | |||||||||
| 0 | 0 | 0 | 66503.84 | - | - | - | - | 52026.6 | |
| 0 | 0 | 0 | 66503.84 | - | - | - | - | 52026.6 | |
| 0 | 0 | 0 | 66503.84 | - | 1 | - | 1 | 52026.6 | |
| 0 | 1 | 0 | 66503.84 | 1 | - | 1 | - | 52026.6 | |
| 0 | 0 | 1 | 66503.84 | - | - | - | - | 52026.6 | |
| 52026.6 |
再比较两个结构,明显右侧结构的可以看作左侧结构的重复,可以按照数量的变化规律去理解,右侧的迭代次数要更小。或者理解成右侧的旋转半径更大所以迭代次数更小。