本实验通过三个对象两两分类的办法测量一个二维数组的频率和质量。
也就是假设图片有包括频率和质量在内的两个物理量。并且频率和点的分布有关,质量和点的大小有关。本文用实验的方法测量轴对称的图片的频率之间的关系/
在《测量一组对角矩阵的频率和质量》的矩阵是
而这次实验测量的矩阵是
这两个矩阵是轴对称的。
实验过程
制作一个带一个3*3卷积核的神经网络,测试集是mnist的0和1图片集,将28*28的图片缩小成9*9,隐藏层30个节点所以网络的结构是
这个网络分成两个部分左边的是让mnist 0向1,0收敛,右边的是让mnist 1向 0,1收敛。但是让左右两边的权重实现同步更新,实现权重共享。相当于将两个弹性系数是k的弹簧并联得到一个弹性系数为2k的弹簧的过程,
将上图简写成
S(mnist0)81-(con3*3)49-30-2-(1,0)
S(mnist1)81-(con3*3)49-30-2-(0,1)
w=w,w1=w1,w2=w2
进一步简写成
d2(mnist0,1)81-con(3*3)49-30-2-(2*k) ,k∈(0,1)
这个网络的收敛标准是
if (Math.abs(f2[0]-y[0])< δ && Math.abs(f2[1]-y[1])< δ )
本文尝试了δ从0.1到1e-6在内的22个值,训练集是mnist0和1的前4999张图片,
具体进样顺序 |
|||
进样顺序 |
迭代次数 |
||
mnist 0-1 |
1 |
判断是否达到收敛 |
|
mnist 1-1 |
2 |
判断是否达到收敛 |
|
梯度下降 |
|||
mnist 0-2 |
3 |
判断是否达到收敛 |
|
mnist 1-2 |
4 |
判断是否达到收敛 |
|
梯度下降 |
|||
…… |
|||
mnist 0-4999 |
9997 |
判断是否达到收敛 |
|
mnist 1-4999 |
9998 |
判断是否达到收敛 |
|
梯度下降 |
|||
…… |
|||
如果4999图片内没有达到收敛标准再次从头循环 |
|||
mnist 0-1 |
9999 |
判断是否达到收敛 |
|
mnist 1-1 |
10000 |
判断是否达到收敛 |
|
…… |
|||
达到收敛标准测量准确率 |
测试集中有980个0和1135个1.将整个过程重复199次,取平均值,用这中方式得到的迭代次数n,用n12表示。
再用同样的办法做两个网络
d2(mnist x,0)81-con(3*3)49-30-2-(2*k) ,k∈(0,1)
意思是用同样的网络分类mnist的0和一张x图片,让0向1,0收敛,让x向0,1收敛,得到的迭代次数用nx0表示
d2(mnist x,1)81-con(3*3)49-30-2-(2*k) ,k∈(0,1)
用同样的网络分类mnist的2和一张x图片,让x向1,0收敛,让1向0,1收敛,得到的迭代次数用nx1表示
这张图片x就是一个9*9的二维数组
double [][]conx=new double[9][9];
for(int n=0 ;n<9;n++){
for(int m=0 ;m<9 ;m++){
if(n+m==9){
conx[n][m]=d;
} } }
本文分别让d=0.5,0.6,0.7,0.8,0.9,1,2,3也就是计算了9组.
现在有了3个网络
A:d2(mnist0,1)81-con(3*3)49-30-2-(2*k) ,k∈(0,1)
B:d2(mnistx,0)81-con(3*3)49-30-2-(2*k) ,k∈(0,1)
C:d2(mnistx,1)81-con(3*3)49-30-2-(2*k) ,k∈(0,1)
根据前面的大量实验n01,nx0,nx1可以用两个方程组去计算
因为测量了9组d因此可以得到10组ωx,ω0, ω1,mx,m0,m1,mx0,mx1,m01,k的数据
第一组数据计算ωx
计算ωx |
||||||||
δ |
3 |
2 |
1 |
0.9 |
0.8 |
0.7 |
0.6 |
0.5 |
0.1 |
670.06138 |
868.40685 |
1555.1347 |
1675.8054 |
1715.4352 |
2204.6622 |
2071.9084 |
2416.8761 |
0.01 |
1280.4559 |
1523.3812 |
2334.5894 |
2436.1215 |
2651.2226 |
2793.268 |
3120.1839 |
3356.5166 |
0.001 |
5673.412 |
4932.3925 |
4101.8733 |
4026.7294 |
4144.0645 |
4131.663 |
4299.2771 |
4230.6279 |
1.00E-04 |
#NUM! |
#NUM! |
10668.809 |
9215.3885 |
7788.8424 |
7480.7742 |
6797.0778 |
6714.904 |
9.00E-05 |
#NUM! |
#NUM! |
12558.528 |
9500.4121 |
8816.6677 |
7427.6257 |
7065.494 |
6741.2439 |
8.00E-05 |
#NUM! |
#NUM! |
12330.944 |
10331.161 |
8704.7321 |
8281.6117 |
7318.294 |
6713.3733 |
7.00E-05 |
#NUM! |
#NUM! |
17239.387 |
11912.225 |
10129.684 |
8378.6534 |
7831.0112 |
7408.0056 |
6.00E-05 |
#NUM! |
#NUM! |
16656.862 |
11876.506 |
9494.6288 |
9311.5463 |
7753.7653 |
7382.4059 |
5.00E-05 |
#NUM! |
#NUM! |
16337.197 |
12997.305 |
10277.417 |
9122.7593 |
8326.6026 |
7455.416 |
4.00E-05 |
#NUM! |
#NUM! |
18253.292 |
11722.397 |
10105.026 |
8979.4581 |
8101.1404 |
7851.292 |
3.00E-05 |
#NUM! |
#NUM! |
17303.487 |
13225.072 |
10738.557 |
9399.3289 |
8380.3294 |
7757.2959 |
2.00E-05 |
#NUM! |
#NUM! |
19931.985 |
13390.399 |
11397.366 |
9723.1885 |
8674.8233 |
8217.4064 |
1.00E-05 |
#NUM! |
#NUM! |
36458.727 |
21677.824 |
14648.712 |
12178.51 |
11084.487 |
9720.2103 |
9.00E-06 |
#NUM! |
#NUM! |
#NUM! |
21039.957 |
17436.311 |
13223.021 |
11239.289 |
9956.3568 |
8.00E-06 |
#NUM! |
#NUM! |
43544.852 |
22080.234 |
14873.957 |
13139.551 |
11216.51 |
10016.286 |
7.00E-06 |
#NUM! |
#NUM! |
#NUM! |
23564.862 |
16156.507 |
13073.392 |
11046.184 |
10321.977 |
6.00E-06 |
#NUM! |
#NUM! |
#NUM! |
27792.021 |
17025.995 |
13554.971 |
11593.25 |
11115.799 |
5.00E-06 |
#NUM! |
#NUM! |
#NUM! |
29602.799 |
19029.553 |
14264.013 |
13033.505 |
11401.922 |
4.00E-06 |
#NUM! |
#NUM! |
#NUM! |
36667.513 |
20081.57 |
14387.732 |
13201.767 |
12021.628 |
3.00E-06 |
#NUM! |
#NUM! |
#NUM! |
35304.652 |
23085.289 |
17319.246 |
13631.572 |
12644.634 |
2.00E-06 |
#NUM! |
#NUM! |
#NUM! |
#NUM! |
36257.678 |
23626.979 |
18525.582 |
15587.468 |
1.00E-06 |
#NUM! |
#NUM! |
#NUM! |
#NUM! |
282189.89 |
36731.883 |
25592.15 |
18437.135 |
随着d的增大ωx也在增大
第二组数据计算ω0
计算ω0 |
||||||||
δ |
3 |
2 |
1 |
0.9 |
0.8 |
0.7 |
0.6 |
0.5 |
0.1 |
1541.0903 |
1617.1295 |
1586.7598 |
1623.3452 |
1593.7715 |
1667.7772 |
1635.5709 |
1667.3949 |
0.01 |
2403.83 |
2360.6744 |
2434.9815 |
2468.3059 |
2430.703 |
2360.3935 |
2518.3134 |
2449.2493 |
0.001 |
3941.1452 |
4132.4776 |
4087.8411 |
4046.6609 |
3891.4307 |
3794.0741 |
3702.3329 |
3607.1593 |
1.00E-04 |
#NUM! |
#NUM! |
6290.997 |
6123.2736 |
5969.8941 |
5981.3712 |
5770.5161 |
5800.6192 |
9.00E-05 |
#NUM! |
#NUM! |
6359.921 |
6145.0519 |
6176.768 |
5965.5015 |
5968.7379 |
5752.4644 |
8.00E-05 |
#NUM! |
#NUM! |
6391.4056 |
6461.8254 |
6357.9656 |
6326.6082 |
6004.1651 |
5970.2815 |
7.00E-05 |
#NUM! |
#NUM! |
6644.8145 |
6474.5719 |
6332.2978 |
6161.625 |
5987.0176 |
5982.1424 |
6.00E-05 |
#NUM! |
#NUM! |
7191.5221 |
6775.5746 |
6777.0929 |
6697.9494 |
6333.6643 |
6279.2887 |
5.00E-05 |
#NUM! |
#NUM! |
7401.9213 |
7066.9437 |
6951.3055 |
6738.256 |
6769.8205 |
6230.099 |
4.00E-05 |
#NUM! |
#NUM! |
8190.7907 |
7926.7877 |
7468.4579 |
7318.2722 |
7126.2906 |
7052.4377 |
3.00E-05 |
#NUM! |
#NUM! |
9021.7172 |
9251.778 |
8761.4257 |
8244.6435 |
7742.6799 |
7588.3385 |
2.00E-05 |
#NUM! |
#NUM! |
10569.76 |
10642.372 |
11260.862 |
10107.85 |
9276.6807 |
8786.2901 |
1.00E-05 |
#NUM! |
#NUM! |
12604.133 |
12746.58 |
12621.472 |
12041.437 |
11004.559 |
10917.035 |
9.00E-06 |
#NUM! |
#NUM! |
#NUM! |
13413.809 |
12796.615 |
12163.511 |
11446.06 |
10420.362 |
8.00E-06 |
#NUM! |
#NUM! |
14025.217 |
14735.585 |
14310.831 |
14391.873 |
12636.1 |
11743.73 |
7.00E-06 |
#NUM! |
#NUM! |
#NUM! |
15416.291 |
14694.261 |
14119.358 |
12110.302 |
11805.885 |
6.00E-06 |
#NUM! |
#NUM! |
#NUM! |
15899.104 |
16968.053 |
14628.947 |
13075.61 |
13031.122 |
5.00E-06 |
#NUM! |
#NUM! |
#NUM! |
16056.907 |
16569.379 |
16006.048 |
16457.895 |
13015.694 |
4.00E-06 |
#NUM! |
#NUM! |
#NUM! |
18209.887 |
17948.593 |
18396.147 |
15845.146 |
14193.897 |
3.00E-06 |
#NUM! |
#NUM! |
#NUM! |
18908.943 |
21005.647 |
20397.398 |
18107.122 |
15496.09 |
2.00E-06 |
#NUM! |
#NUM! |
#NUM! |
#NUM! |
20369.682 |
18629.797 |
18194.308 |
16834.904 |
1.00E-06 |
#NUM! |
#NUM! |
#NUM! |
#NUM! |
23801.087 |
23769.91 |
20611.503 |
17960.479 |
随着d的增大ω0增加,但不显著
第三组数据计算ω1
计算ω1 |
||||||||
δ |
3 |
2 |
1 |
0.9 |
0.8 |
0.7 |
0.6 |
0.5 |
0.1 |
4955.8346 |
3549.2573 |
3934.2989 |
3485.6698 |
3832.2383 |
3127.2114 |
3371.8226 |
3129.736 |
0.01 |
3697.8627 |
3870.7023 |
3591.408 |
3491.0132 |
3605.2514 |
3871.9411 |
3361.3226 |
3546.8708 |
0.001 |
4341.6887 |
4121.364 |
4167.12 |
4212.1299 |
4411.0606 |
4566.1765 |
4741.7182 |
4964.3982 |
1.00E-04 |
#NUM! |
#NUM! |
5553.2022 |
5677.3934 |
5808.8264 |
5798.3124 |
6012.344 |
5978.8421 |
9.00E-05 |
#NUM! |
#NUM! |
5689.2929 |
5858.5301 |
5831.447 |
6028.3187 |
6024.9844 |
6274.8594 |
8.00E-05 |
#NUM! |
#NUM! |
5968.9149 |
5913.279 |
5996.5582 |
6023.2394 |
6348.9353 |
6389.729 |
7.00E-05 |
#NUM! |
#NUM! |
5808.4387 |
5930.4097 |
6046.7923 |
6207.8502 |
6403.1488 |
6409.1285 |
6.00E-05 |
#NUM! |
#NUM! |
5929.1441 |
6201.8812 |
6200.7175 |
6263.3519 |
6614.9565 |
6678.6178 |
5.00E-05 |
#NUM! |
#NUM! |
6145.2508 |
6361.7085 |
6449.9876 |
6636.1003 |
6606.3614 |
7260.8058 |
4.00E-05 |
#NUM! |
#NUM! |
6441.1273 |
6580.3877 |
6887.453 |
7012.204 |
7194.8755 |
7273.3446 |
3.00E-05 |
#NUM! |
#NUM! |
6844.5171 |
6749.775 |
6966.4801 |
7269.9433 |
7680.6392 |
7840.8018 |
2.00E-05 |
#NUM! |
#NUM! |
7623.307 |
7596.4849 |
7397.8174 |
7815.7108 |
8293.6734 |
8702.3247 |
1.00E-05 |
#NUM! |
#NUM! |
8400.5005 |
8359.3368 |
8395.3825 |
8584.8452 |
9050.7127 |
9100.3985 |
9.00E-06 |
#NUM! |
#NUM! |
#NUM! |
8262.636 |
8421.9857 |
8623.834 |
8918.5124 |
9536.482 |
8.00E-06 |
#NUM! |
#NUM! |
8865.3097 |
8703.2247 |
8796.1403 |
8777.5392 |
9307.0597 |
9732.8311 |
7.00E-06 |
#NUM! |
#NUM! |
#NUM! |
8771.366 |
8917.9104 |
9057.5915 |
9812.0322 |
9984.7149 |
6.00E-06 |
#NUM! |
#NUM! |
#NUM! |
9363.0852 |
9171.036 |
9671.8969 |
10252.333 |
10273.956 |
5.00E-06 |
#NUM! |
#NUM! |
#NUM! |
9740.7128 |
9633.359 |
9752.1412 |
9655.5678 |
10836.853 |
4.00E-06 |
#NUM! |
#NUM! |
#NUM! |
10151.719 |
10198.303 |
10120.085 |
10698.989 |
11355.272 |
3.00E-06 |
#NUM! |
#NUM! |
#NUM! |
11355.575 |
10986.046 |
11078.138 |
11545.608 |
12512.329 |
2.00E-06 |
#NUM! |
#NUM! |
#NUM! |
#NUM! |
12025.874 |
12457.826 |
12594.992 |
13134.871 |
1.00E-06 |
#NUM! |
#NUM! |
#NUM! |
#NUM! |
15157.693 |
15165.768 |
16299.879 |
18203.847 |
随着d的增大ω1减小,但不显著
第四组数据m0
m0 |
||||||||
δ |
3 |
2 |
1 |
0.9 |
0.8 |
0.7 |
0.6 |
0.5 |
0.1 |
0.1890484 |
0.2883745 |
0.960536 |
1.0656766 |
1.1585013 |
1.7474632 |
1.6047314 |
2.1010281 |
0.01 |
0.2837408 |
0.4164329 |
0.9192416 |
0.9740919 |
1.1896757 |
1.4004138 |
1.5351147 |
1.8780693 |
0.001 |
2.0722577 |
1.4246043 |
1.0068771 |
0.9901734 |
1.1340558 |
1.185873 |
1.3484658 |
1.3755583 |
1.00E-04 |
#NUM! |
#NUM! |
2.8760267 |
2.264957 |
1.7022078 |
1.5641975 |
1.387443 |
1.3400806 |
9.00E-05 |
#NUM! |
#NUM! |
3.8991866 |
2.3901974 |
2.0374472 |
1.5502656 |
1.4012642 |
1.3733214 |
8.00E-05 |
#NUM! |
#NUM! |
3.7222015 |
2.5561586 |
1.8744526 |
1.7135147 |
1.485643 |
1.2644218 |
7.00E-05 |
#NUM! |
#NUM! |
6.7309739 |
3.385039 |
2.5589931 |
1.8490895 |
1.7108606 |
1.5335188 |
6.00E-05 |
#NUM! |
#NUM! |
5.364691 |
3.0724524 |
1.9627686 |
1.9326797 |
1.4987018 |
1.3822129 |
5.00E-05 |
#NUM! |
#NUM! |
4.8715391 |
3.3825431 |
2.1859247 |
1.8329787 |
1.5127995 |
1.4320358 |
4.00E-05 |
#NUM! |
#NUM! |
4.9662749 |
2.1869476 |
1.8306823 |
1.5055083 |
1.2923057 |
1.2393779 |
3.00E-05 |
#NUM! |
#NUM! |
3.6786533 |
2.0433637 |
1.5022503 |
1.2997204 |
1.1714927 |
1.0450266 |
2.00E-05 |
#NUM! |
#NUM! |
3.5560745 |
1.5831064 |
1.024391 |
0.9253367 |
0.8744522 |
0.8746987 |
1.00E-05 |
#NUM! |
#NUM! |
8.3671403 |
2.8923047 |
1.347035 |
1.0228965 |
1.0145791 |
0.7927604 |
9.00E-06 |
#NUM! |
#NUM! |
#NUM! |
2.4602853 |
1.856603 |
1.1817985 |
0.9641966 |
0.9129254 |
8.00E-06 |
#NUM! |
#NUM! |
9.6394985 |
2.2452907 |
1.0802477 |
0.83354 |
0.7879332 |
0.7274469 |
7.00E-06 |
#NUM! |
#NUM! |
#NUM! |
2.3365226 |
1.2089252 |
0.8573272 |
0.8319833 |
0.7644141 |
6.00E-06 |
#NUM! |
#NUM! |
#NUM! |
3.0555894 |
1.0068412 |
0.8585608 |
0.7861158 |
0.727642 |
5.00E-06 |
#NUM! |
#NUM! |
#NUM! |
3.3989265 |
1.3189998 |
0.7941732 |
0.6271535 |
0.7673994 |
4.00E-06 |
#NUM! |
#NUM! |
#NUM! |
4.0546039 |
1.2517986 |
0.6116894 |
0.6941793 |
0.7173371 |
3.00E-06 |
#NUM! |
#NUM! |
#NUM! |
3.486016 |
1.2078097 |
0.7209554 |
0.566752 |
0.6658375 |
2.00E-06 |
#NUM! |
#NUM! |
#NUM! |
#NUM! |
3.1683379 |
1.6084225 |
1.0367466 |
0.8572942 |
1.00E-06 |
#NUM! |
#NUM! |
#NUM! |
#NUM! |
140.56892 |
2.3879833 |
1.5416799 |
1.0537826 |
随着d的增加m0增加
第五组数据m1
m1 |
||||||||
δ |
3 |
2 |
1 |
0.9 |
0.8 |
0.7 |
0.6 |
0.5 |
0.1 |
0.0182808 |
0.0598648 |
0.1562433 |
0.2311398 |
0.200375 |
0.4970152 |
0.3775823 |
0.5963392 |
0.01 |
0.1199023 |
0.1548951 |
0.4225631 |
0.4869618 |
0.5407808 |
0.5204365 |
0.8616681 |
0.8955439 |
0.001 |
1.7075416 |
1.4322978 |
0.9689302 |
0.9139057 |
0.8826062 |
0.818737 |
0.82209 |
0.7262338 |
1.00E-04 |
#NUM! |
#NUM! |
3.6910073 |
2.6346888 |
1.7979146 |
1.6645232 |
1.2780765 |
1.2613786 |
9.00E-05 |
#NUM! |
#NUM! |
4.8726013 |
2.6297081 |
2.285895 |
1.5181253 |
1.3752233 |
1.1541761 |
8.00E-05 |
#NUM! |
#NUM! |
4.2677784 |
3.0524004 |
2.1072046 |
1.8904686 |
1.3286724 |
1.1038669 |
7.00E-05 |
#NUM! |
#NUM! |
8.8089633 |
4.0347478 |
2.8063489 |
1.8216544 |
1.4957138 |
1.3359944 |
6.00E-05 |
#NUM! |
#NUM! |
7.8922773 |
3.6671656 |
2.344618 |
2.2101919 |
1.3739512 |
1.2218634 |
5.00E-05 |
#NUM! |
#NUM! |
7.0676639 |
4.1740638 |
2.5389269 |
1.8898466 |
1.5885871 |
1.0543241 |
4.00E-05 |
#NUM! |
#NUM! |
8.0307971 |
3.173437 |
2.1525714 |
1.6398011 |
1.2677854 |
1.1652361 |
3.00E-05 |
#NUM! |
#NUM! |
6.3911888 |
3.8389944 |
2.3761019 |
1.6715972 |
1.1904947 |
0.9788131 |
2.00E-05 |
#NUM! |
#NUM! |
6.8361924 |
3.1071459 |
2.3735687 |
1.5476774 |
1.0940254 |
0.8916593 |
1.00E-05 |
#NUM! |
#NUM! |
18.836174 |
6.7249297 |
3.0445135 |
2.0124421 |
1.4999116 |
1.1408551 |
9.00E-06 |
#NUM! |
#NUM! |
#NUM! |
6.4841411 |
4.286277 |
2.3510431 |
1.5881548 |
1.089995 |
8.00E-06 |
#NUM! |
#NUM! |
24.126027 |
6.4364582 |
2.8593594 |
2.240864 |
1.4524143 |
1.0590953 |
7.00E-06 |
#NUM! |
#NUM! |
#NUM! |
7.217642 |
3.2822281 |
2.0832965 |
1.2673793 |
1.0686967 |
6.00E-06 |
#NUM! |
#NUM! |
#NUM! |
8.8105356 |
3.4465787 |
1.9641465 |
1.2786894 |
1.1705932 |
5.00E-06 |
#NUM! |
#NUM! |
#NUM! |
9.2360033 |
3.9021297 |
2.1393581 |
1.8220774 |
1.1070055 |
4.00E-06 |
#NUM! |
#NUM! |
#NUM! |
13.04619 |
3.8773902 |
2.021233 |
1.5225748 |
1.1208087 |
3.00E-06 |
#NUM! |
#NUM! |
#NUM! |
9.6659737 |
4.4155805 |
2.4441308 |
1.3939857 |
1.0212598 |
2.00E-06 |
#NUM! |
#NUM! |
#NUM! |
#NUM! |
9.090058 |
3.5969289 |
2.1634552 |
1.4083141 |
1.00E-06 |
#NUM! |
#NUM! |
#NUM! |
#NUM! |
346.59054 |
5.8662097 |
2.4651579 |
1.0257948 |
随着d的增加m1增加
第六组数据mx0
mx0 |
||||||||
δ |
3 |
2 |
1 |
0.9 |
0.8 |
0.7 |
0.6 |
0.5 |
0.1 |
1.1890484 |
1.2883745 |
1.960536 |
2.0656766 |
2.1585013 |
2.7474632 |
2.6047314 |
3.1010281 |
0.01 |
1.2837408 |
1.4164329 |
1.9192416 |
1.9740919 |
2.1896757 |
2.4004138 |
2.5351147 |
2.8780693 |
0.001 |
3.0722577 |
2.4246043 |
2.0068771 |
1.9901734 |
2.1340558 |
2.185873 |
2.3484658 |
2.3755583 |
1.00E-04 |
#NUM! |
#NUM! |
3.8760267 |
3.264957 |
2.7022078 |
2.5641975 |
2.387443 |
2.3400806 |
9.00E-05 |
#NUM! |
#NUM! |
4.8991866 |
3.3901974 |
3.0374472 |
2.5502656 |
2.4012642 |
2.3733214 |
8.00E-05 |
#NUM! |
#NUM! |
4.7222015 |
3.5561586 |
2.8744526 |
2.7135147 |
2.485643 |
2.2644218 |
7.00E-05 |
#NUM! |
#NUM! |
7.7309739 |
4.385039 |
3.5589931 |
2.8490895 |
2.7108606 |
2.5335188 |
6.00E-05 |
#NUM! |
#NUM! |
6.364691 |
4.0724524 |
2.9627686 |
2.9326797 |
2.4987018 |
2.3822129 |
5.00E-05 |
#NUM! |
#NUM! |
5.8715391 |
4.3825431 |
3.1859247 |
2.8329787 |
2.5127995 |
2.4320358 |
4.00E-05 |
#NUM! |
#NUM! |
5.9662749 |
3.1869476 |
2.8306823 |
2.5055083 |
2.2923057 |
2.2393779 |
3.00E-05 |
#NUM! |
#NUM! |
4.6786533 |
3.0433637 |
2.5022503 |
2.2997204 |
2.1714927 |
2.0450266 |
2.00E-05 |
#NUM! |
#NUM! |
4.5560745 |
2.5831064 |
2.024391 |
1.9253367 |
1.8744522 |
1.8746987 |
1.00E-05 |
#NUM! |
#NUM! |
9.3671403 |
3.8923047 |
2.347035 |
2.0228965 |
2.0145791 |
1.7927604 |
9.00E-06 |
#NUM! |
#NUM! |
#NUM! |
3.4602853 |
2.856603 |
2.1817985 |
1.9641966 |
1.9129254 |
8.00E-06 |
#NUM! |
#NUM! |
10.639498 |
3.2452907 |
2.0802477 |
1.83354 |
1.7879332 |
1.7274469 |
7.00E-06 |
#NUM! |
#NUM! |
#NUM! |
3.3365226 |
2.2089252 |
1.8573272 |
1.8319833 |
1.7644141 |
6.00E-06 |
#NUM! |
#NUM! |
#NUM! |
4.0555894 |
2.0068412 |
1.8585608 |
1.7861158 |
1.727642 |
5.00E-06 |
#NUM! |
#NUM! |
#NUM! |
4.3989265 |
2.3189998 |
1.7941732 |
1.6271535 |
1.7673994 |
4.00E-06 |
#NUM! |
#NUM! |
#NUM! |
5.0546039 |
2.2517986 |
1.6116894 |
1.6941793 |
1.7173371 |
3.00E-06 |
#NUM! |
#NUM! |
#NUM! |
4.486016 |
2.2078097 |
1.7209554 |
1.566752 |
1.6658375 |
2.00E-06 |
#NUM! |
#NUM! |
#NUM! |
#NUM! |
4.1683379 |
2.6084225 |
2.0367466 |
1.8572942 |
1.00E-06 |
#NUM! |
#NUM! |
#NUM! |
#NUM! |
141.56892 |
3.3879833 |
2.5416799 |
2.0537826 |
随着d的增加mx0增加
第七组数据mx1
mx1 |
||||||||
δ |
3 |
2 |
1 |
0.9 |
0.8 |
0.7 |
0.6 |
0.5 |
0.1 |
1.0182808 |
1.0598648 |
1.1562433 |
1.2311398 |
1.200375 |
1.4970152 |
1.3775823 |
1.5963392 |
0.01 |
1.1199023 |
1.1548951 |
1.4225631 |
1.4869618 |
1.5407808 |
1.5204365 |
1.8616681 |
1.8955439 |
0.001 |
2.7075416 |
2.4322978 |
1.9689302 |
1.9139057 |
1.8826062 |
1.818737 |
1.82209 |
1.7262338 |
1.00E-04 |
#NUM! |
#NUM! |
4.6910073 |
3.6346888 |
2.7979146 |
2.6645232 |
2.2780765 |
2.2613786 |
9.00E-05 |
#NUM! |
#NUM! |
5.8726013 |
3.6297081 |
3.285895 |
2.5181253 |
2.3752233 |
2.1541761 |
8.00E-05 |
#NUM! |
#NUM! |
5.2677784 |
4.0524004 |
3.1072046 |
2.8904686 |
2.3286724 |
2.1038669 |
7.00E-05 |
#NUM! |
#NUM! |
9.8089633 |
5.0347478 |
3.8063489 |
2.8216544 |
2.4957138 |
2.3359944 |
6.00E-05 |
#NUM! |
#NUM! |
8.8922773 |
4.6671656 |
3.344618 |
3.2101919 |
2.3739512 |
2.2218634 |
5.00E-05 |
#NUM! |
#NUM! |
8.0676639 |
5.1740638 |
3.5389269 |
2.8898466 |
2.5885871 |
2.0543241 |
4.00E-05 |
#NUM! |
#NUM! |
9.0307971 |
4.173437 |
3.1525714 |
2.6398011 |
2.2677854 |
2.1652361 |
3.00E-05 |
#NUM! |
#NUM! |
7.3911888 |
4.8389944 |
3.3761019 |
2.6715972 |
2.1904947 |
1.9788131 |
2.00E-05 |
#NUM! |
#NUM! |
7.8361924 |
4.1071459 |
3.3735687 |
2.5476774 |
2.0940254 |
1.8916593 |
1.00E-05 |
#NUM! |
#NUM! |
19.836174 |
7.7249297 |
4.0445135 |
3.0124421 |
2.4999116 |
2.1408551 |
9.00E-06 |
#NUM! |
#NUM! |
#NUM! |
7.4841411 |
5.286277 |
3.3510431 |
2.5881548 |
2.089995 |
8.00E-06 |
#NUM! |
#NUM! |
25.126027 |
7.4364582 |
3.8593594 |
3.240864 |
2.4524143 |
2.0590953 |
7.00E-06 |
#NUM! |
#NUM! |
#NUM! |
8.217642 |
4.2822281 |
3.0832965 |
2.2673793 |
2.0686967 |
6.00E-06 |
#NUM! |
#NUM! |
#NUM! |
9.8105356 |
4.4465787 |
2.9641465 |
2.2786894 |
2.1705932 |
5.00E-06 |
#NUM! |
#NUM! |
#NUM! |
10.236003 |
4.9021297 |
3.1393581 |
2.8220774 |
2.1070055 |
4.00E-06 |
#NUM! |
#NUM! |
#NUM! |
14.04619 |
4.8773902 |
3.021233 |
2.5225748 |
2.1208087 |
3.00E-06 |
#NUM! |
#NUM! |
#NUM! |
10.665974 |
5.4155805 |
3.4441308 |
2.3939857 |
2.0212598 |
2.00E-06 |
#NUM! |
#NUM! |
#NUM! |
#NUM! |
10.090058 |
4.5969289 |
3.1634552 |
2.4083141 |
1.00E-06 |
#NUM! |
#NUM! |
#NUM! |
#NUM! |
347.59054 |
6.8662097 |
3.4651579 |
2.0257948 |
随着d的增加mx1增加
第八组数据m01
m01 |
||||||||
δ |
3 |
2 |
1 |
0.9 |
0.8 |
0.7 |
0.6 |
0.5 |
0.1 |
0.2073292 |
0.3482393 |
1.1167793 |
1.2968163 |
1.3588764 |
2.2444784 |
1.9823137 |
2.6973673 |
0.01 |
0.4036431 |
0.571328 |
1.3418047 |
1.4610537 |
1.7304565 |
1.9208502 |
2.3967828 |
2.7736132 |
0.001 |
3.7797993 |
2.8569021 |
1.9758073 |
1.9040791 |
2.016662 |
2.0046099 |
2.1705558 |
2.1017921 |
1.00E-04 |
#NUM! |
#NUM! |
6.567034 |
4.8996458 |
3.5001224 |
3.2287207 |
2.6655195 |
2.6014592 |
9.00E-05 |
#NUM! |
#NUM! |
8.7717878 |
5.0199056 |
4.3233422 |
3.0683909 |
2.7764875 |
2.5274975 |
8.00E-05 |
#NUM! |
#NUM! |
7.9899798 |
5.6085589 |
3.9816573 |
3.6039834 |
2.8143153 |
2.3682887 |
7.00E-05 |
#NUM! |
#NUM! |
15.539937 |
7.4197868 |
5.365342 |
3.6707439 |
3.2065745 |
2.8695133 |
6.00E-05 |
#NUM! |
#NUM! |
13.256968 |
6.739618 |
4.3073865 |
4.1428716 |
2.872653 |
2.6040763 |
5.00E-05 |
#NUM! |
#NUM! |
11.939203 |
7.556607 |
4.7248516 |
3.7228253 |
3.1013865 |
2.4863598 |
4.00E-05 |
#NUM! |
#NUM! |
12.997072 |
5.3603846 |
3.9832537 |
3.1453093 |
2.5600911 |
2.404614 |
3.00E-05 |
#NUM! |
#NUM! |
10.069842 |
5.8823581 |
3.8783523 |
2.9713176 |
2.3619873 |
2.0238397 |
2.00E-05 |
#NUM! |
#NUM! |
10.392267 |
4.6902523 |
3.3979597 |
2.4730142 |
1.9684776 |
1.766358 |
1.00E-05 |
#NUM! |
#NUM! |
27.203314 |
9.6172343 |
4.3915485 |
3.0353385 |
2.5144907 |
1.9336155 |
9.00E-06 |
#NUM! |
#NUM! |
#NUM! |
8.9444264 |
6.14288 |
3.5328416 |
2.5523515 |
2.0029205 |
8.00E-06 |
#NUM! |
#NUM! |
33.765526 |
8.6817489 |
3.9396071 |
3.074404 |
2.2403475 |
1.7865423 |
7.00E-06 |
#NUM! |
#NUM! |
#NUM! |
9.5541646 |
4.4911533 |
2.9406237 |
2.0993626 |
1.8331108 |
6.00E-06 |
#NUM! |
#NUM! |
#NUM! |
11.866125 |
4.45342 |
2.8227073 |
2.0648052 |
1.8982352 |
5.00E-06 |
#NUM! |
#NUM! |
#NUM! |
12.63493 |
5.2211295 |
2.9335313 |
2.4492309 |
1.874405 |
4.00E-06 |
#NUM! |
#NUM! |
#NUM! |
17.100794 |
5.1291889 |
2.6329224 |
2.2167541 |
1.8381458 |
3.00E-06 |
#NUM! |
#NUM! |
#NUM! |
13.15199 |
5.6233902 |
3.1650862 |
1.9607377 |
1.6870974 |
2.00E-06 |
#NUM! |
#NUM! |
#NUM! |
#NUM! |
12.258396 |
5.2053515 |
3.2002018 |
2.2656083 |
1.00E-06 |
#NUM! |
#NUM! |
#NUM! |
#NUM! |
487.15946 |
8.254193 |
4.0068379 |
2.0795774 |
随着d的增加m01增加
第九组数据k
k |
||||||||
δ |
3 |
2 |
1 |
0.9 |
0.8 |
0.7 |
0.6 |
0.5 |
0.1 |
448982.25 |
754130.45 |
2418444 |
2808323.7 |
2942718 |
4860535.5 |
4292804.3 |
5841290.3 |
0.01 |
1639567.3 |
2320690.4 |
5450307.5 |
5934687.8 |
7028981.5 |
7802346.1 |
9735547.5 |
11266204 |
0.001 |
32187604 |
24328496 |
16825365 |
16214550 |
17173271 |
17070639 |
18483783 |
17898212 |
1.00E-04 |
#NUM! |
#NUM! |
113823485 |
84923384 |
60666067 |
55961982 |
46200266 |
45089936 |
9.00E-05 |
#NUM! |
#NUM! |
157716618 |
90257829 |
77733630 |
55169624 |
49921205 |
45444369 |
8.00E-05 |
#NUM! |
#NUM! |
152052173 |
106732882 |
75772361 |
68585092 |
53557427 |
45069381 |
7.00E-05 |
#NUM! |
#NUM! |
297196456 |
141901109 |
102610493 |
70201833 |
61324737 |
54878547 |
6.00E-05 |
#NUM! |
#NUM! |
277451037 |
141051405 |
90147976 |
86704894 |
60120876 |
54499917 |
5.00E-05 |
#NUM! |
#NUM! |
266904021 |
168929934 |
105625298 |
83224738 |
69332311 |
55583227 |
4.00E-05 |
#NUM! |
#NUM! |
333182678 |
137414589 |
102111549 |
80630668 |
65628476 |
61642785 |
3.00E-05 |
#NUM! |
#NUM! |
299410673 |
174902524 |
115316610 |
88347385 |
70229920 |
60175640 |
2.00E-05 |
#NUM! |
#NUM! |
397284019 |
179302775 |
129899962 |
94540394 |
75252559 |
67525768 |
1.00E-05 |
#NUM! |
#NUM! |
1.329E+09 |
469928075 |
214584762 |
148316111 |
122865862 |
94482488 |
9.00E-06 |
#NUM! |
#NUM! |
#NUM! |
442679793 |
304024955 |
174848281 |
126321619 |
99129041 |
8.00E-06 |
#NUM! |
#NUM! |
1.896E+09 |
487536739 |
221234592 |
172647804 |
125810101 |
100325981 |
7.00E-06 |
#NUM! |
#NUM! |
#NUM! |
555302722 |
261032730 |
170913567 |
122018177 |
106543215 |
6.00E-06 |
#NUM! |
#NUM! |
#NUM! |
772396444 |
289884502 |
183737243 |
134403456 |
123560989 |
5.00E-06 |
#NUM! |
#NUM! |
#NUM! |
876325708 |
362123899 |
203462064 |
169872255 |
130003829 |
4.00E-06 |
#NUM! |
#NUM! |
#NUM! |
1.345E+09 |
403269448 |
207006838 |
174286661 |
144519542 |
3.00E-06 |
#NUM! |
#NUM! |
#NUM! |
1.246E+09 |
532930563 |
299956274 |
185819768 |
159886780 |
2.00E-06 |
#NUM! |
#NUM! |
#NUM! |
#NUM! |
1.315E+09 |
558234146 |
343197177 |
242969164 |
1.00E-06 |
#NUM! |
#NUM! |
#NUM! |
#NUM! |
7.963E+10 |
1.349E+09 |
654958117 |
339927936 |
随着d的增加k增加
d |
ωx |
ω0 |
ω1 |
m0 |
m1 |
mx0 |
mx1 |
m01 |
k |
增加 |
增加 |
增加但不显著 |
减小但不显著 |
增加 |
增加 |
增加 |
增加 |
增加 |
增加 |
这个规律和对角矩阵的规律是一样的。
ω0 |
ω1 |
增加但不显著 |
减小但不显著 |
如果将这个规律理解成是一种稳定性,可以假设与之对应的就是两个图形之间的轴对称关系。
ω0反对角/ω0对角的比值相对是很稳定的,假设这种稳定性可以理解成一种对称现象体现
ω0 |
反对角/对角 |
|||||
1 |
0.9 |
0.8 |
0.7 |
0.6 |
0.5 |
|
0.1 |
0.450559755 |
0.43463309 |
0.433355462 |
0.416101582 |
0.428126792 |
0.429177691 |
0.01 |
0.303172262 |
0.30727339 |
0.310269935 |
0.308632095 |
0.309755911 |
0.291198713 |
0.001 |
0.204642055 |
0.197977575 |
0.203421925 |
0.206233801 |
0.205414586 |
0.204540639 |
1.00E-04 |
#NUM! |
#NUM! |
#NUM! |
0.136325188 |
0.14155017 |
0.138977033 |
9.00E-05 |
#NUM! |
#NUM! |
#NUM! |
#NUM! |
0.135569411 |
0.136181704 |
8.00E-05 |
#NUM! |
#NUM! |
#NUM! |
#NUM! |
0.133753733 |
0.134980236 |
7.00E-05 |
#NUM! |
#NUM! |
#NUM! |
#NUM! |
0.129003084 |
0.130925192 |
6.00E-05 |
#NUM! |
#NUM! |
#NUM! |
#NUM! |
0.12148933 |
0.12345223 |
5.00E-05 |
#NUM! |
#NUM! |
#NUM! |
#NUM! |
0.116944568 |
0.117540901 |
4.00E-05 |
#NUM! |
#NUM! |
#NUM! |
#NUM! |
0.109231849 |
0.110308862 |
3.00E-05 |
#NUM! |
#NUM! |
#NUM! |
#NUM! |
0.098417455 |
0.101833408 |
2.00E-05 |
#NUM! |
#NUM! |
#NUM! |
#NUM! |
0.085900928 |
0.088227589 |
1.00E-05 |
#NUM! |
#NUM! |
#NUM! |
#NUM! |
#NUM! |
0.075927668 |
9.00E-06 |
#NUM! |
#NUM! |
#NUM! |
#NUM! |
#NUM! |
0.076409726 |
8.00E-06 |
#NUM! |
#NUM! |
#NUM! |
#NUM! |
#NUM! |
0.069235628 |
7.00E-06 |
#NUM! |
#NUM! |
#NUM! |
#NUM! |
#NUM! |
0.069715095 |
6.00E-06 |
#NUM! |
#NUM! |
#NUM! |
#NUM! |
#NUM! |
0.064078203 |
5.00E-06 |
#NUM! |
#NUM! |
#NUM! |
#NUM! |
#NUM! |
0.061115057 |
4.00E-06 |
#NUM! |
#NUM! |
#NUM! |
#NUM! |
#NUM! |
0.059604533 |
3.00E-06 |
#NUM! |
#NUM! |
#NUM! |
#NUM! |
#NUM! |
0.051213215 |
2.00E-06 |
#NUM! |
#NUM! |
#NUM! |
#NUM! |
#NUM! |
#NUM! |
1.00E-06 |
#NUM! |
#NUM! |
#NUM! |
#NUM! |
#NUM! |
#NUM! |
ω1反对角/ω1对角的比值也是相对稳定的
ω1 |
反对角/对角 |
|||||
1 |
0.9 |
0.8 |
0.7 |
0.6 |
0.5 |
|
0.1 |
0.2411057 |
0.268756871 |
0.270812109 |
0.296640507 |
0.279004503 |
0.27738545 |
0.01 |
0.21750247 |
0.211669163 |
0.207251715 |
0.209683005 |
0.208019253 |
0.233289695 |
0.001 |
0.156617104 |
0.164961118 |
0.158198689 |
0.154515076 |
0.155602475 |
0.156749548 |
1.00E-04 |
#NUM! |
#NUM! |
#NUM! |
0.118499544 |
0.112206266 |
0.115377965 |
9.00E-05 |
#NUM! |
#NUM! |
#NUM! |
#NUM! |
0.114336332 |
0.113606355 |
8.00E-05 |
#NUM! |
#NUM! |
#NUM! |
#NUM! |
0.108746611 |
0.107220441 |
7.00E-05 |
#NUM! |
#NUM! |
#NUM! |
#NUM! |
0.113699265 |
0.111480539 |
6.00E-05 |
#NUM! |
#NUM! |
#NUM! |
#NUM! |
0.110728747 |
0.10853598 |
5.00E-05 |
#NUM! |
#NUM! |
#NUM! |
#NUM! |
0.107797037 |
0.107146501 |
4.00E-05 |
#NUM! |
#NUM! |
#NUM! |
#NUM! |
0.100638263 |
0.099456586 |
3.00E-05 |
#NUM! |
#NUM! |
#NUM! |
#NUM! |
0.096608241 |
0.093000558 |
2.00E-05 |
#NUM! |
#NUM! |
#NUM! |
#NUM! |
0.086102516 |
0.083716822 |
1.00E-05 |
#NUM! |
#NUM! |
#NUM! |
#NUM! |
#NUM! |
0.076211656 |
9.00E-06 |
#NUM! |
#NUM! |
#NUM! |
#NUM! |
#NUM! |
0.074750674 |
8.00E-06 |
#NUM! |
#NUM! |
#NUM! |
#NUM! |
#NUM! |
0.07264002 |
7.00E-06 |
#NUM! |
#NUM! |
#NUM! |
#NUM! |
#NUM! |
0.069781728 |
6.00E-06 |
#NUM! |
#NUM! |
#NUM! |
#NUM! |
#NUM! |
0.067688109 |
5.00E-06 |
#NUM! |
#NUM! |
#NUM! |
#NUM! |
#NUM! |
0.06647126 |
4.00E-06 |
#NUM! |
#NUM! |
#NUM! |
#NUM! |
#NUM! |
0.060332019 |
3.00E-06 |
#NUM! |
#NUM! |
#NUM! |
#NUM! |
#NUM! |
0.057829961 |
2.00E-06 |
#NUM! |
#NUM! |
#NUM! |
#NUM! |
#NUM! |
#NUM! |
1.00E-06 |
#NUM! |
#NUM! |
#NUM! |
#NUM! |
#NUM! |
#NUM! |
可以看到频率的比值是相对稳定的,或者把这种稳定的比值理解成是一种守恒,与这种守恒对应的就是轴对称。
但是 m0反对角/m0对角 的质量比就不是稳定的,这个从反面印证了频率更有可能与点的分布有关。
反对角/对角 |
||||||
m0 |
1 |
0.9 |
0.8 |
0.7 |
0.6 |
0.5 |
0.1 |
1.399539257 |
1.514760688 |
1.317816076 |
1.87467491 |
1.379514627 |
1.446618431 |
0.01 |
1.108039348 |
1.062210757 |
1.094966561 |
1.259455507 |
1.177761789 |
1.416161369 |
0.001 |
0.588114049 |
0.611479363 |
0.708618328 |
0.805289789 |
1.033749147 |
1.007174264 |
1.00E-04 |
#NUM! |
#NUM! |
#NUM! |
0.022740743 |
0.184961284 |
0.459915164 |
9.00E-05 |
#NUM! |
#NUM! |
#NUM! |
#NUM! |
0.273313738 |
0.426603197 |
8.00E-05 |
#NUM! |
#NUM! |
#NUM! |
#NUM! |
0.233000919 |
0.370179728 |
7.00E-05 |
#NUM! |
#NUM! |
#NUM! |
#NUM! |
0.024106624 |
0.281618642 |
6.00E-05 |
#NUM! |
#NUM! |
#NUM! |
#NUM! |
0.046601379 |
0.360295898 |
5.00E-05 |
#NUM! |
#NUM! |
#NUM! |
#NUM! |
0.031224228 |
0.331399547 |
4.00E-05 |
#NUM! |
#NUM! |
#NUM! |
#NUM! |
0.011030697 |
0.298238085 |
3.00E-05 |
#NUM! |
#NUM! |
#NUM! |
#NUM! |
0.031048537 |
0.310774891 |
2.00E-05 |
#NUM! |
#NUM! |
#NUM! |
#NUM! |
0.084407557 |
0.266747172 |
1.00E-05 |
#NUM! |
#NUM! |
#NUM! |
#NUM! |
#NUM! |
0.109301892 |
9.00E-06 |
#NUM! |
#NUM! |
#NUM! |
#NUM! |
#NUM! |
0.065556503 |
8.00E-06 |
#NUM! |
#NUM! |
#NUM! |
#NUM! |
#NUM! |
0.10445678 |
7.00E-06 |
#NUM! |
#NUM! |
#NUM! |
#NUM! |
#NUM! |
0.114109474 |
6.00E-06 |
#NUM! |
#NUM! |
#NUM! |
#NUM! |
#NUM! |
0.188789765 |
5.00E-06 |
#NUM! |
#NUM! |
#NUM! |
#NUM! |
#NUM! |
0.179508889 |
4.00E-06 |
#NUM! |
#NUM! |
#NUM! |
#NUM! |
#NUM! |
0.063846439 |
3.00E-06 |
#NUM! |
#NUM! |
#NUM! |
#NUM! |
#NUM! |
0.074903182 |
2.00E-06 |
#NUM! |
#NUM! |
#NUM! |
#NUM! |
#NUM! |
#NUM! |
1.00E-06 |
#NUM! |
#NUM! |
#NUM! |
#NUM! |
#NUM! |
#NUM! |
但是 m1反对角/m1对角 的质量比也不是稳定的,假设这是由于两张图片的质量之间没有对称的关系。
反对角/对角 |
||||||
m1 |
1 |
0.9 |
0.8 |
0.7 |
0.6 |
0.5 |
0.1 |
0.794993589 |
0.85924927 |
0.583652915 |
1.049121813 |
0.764290253 |
0.982929197 |
0.01 |
0.989618302 |
1.119025421 |
1.115518062 |
1.014027581 |
1.465845661 |
1.052145145 |
0.001 |
0.966248834 |
0.812906916 |
0.91187369 |
0.990458722 |
1.098307867 |
0.905416628 |
1.00E-04 |
#NUM! |
#NUM! |
#NUM! |
0.032027406 |
0.271149616 |
0.628105583 |
9.00E-05 |
#NUM! |
#NUM! |
#NUM! |
#NUM! |
0.377111246 |
0.51517669 |
8.00E-05 |
#NUM! |
#NUM! |
#NUM! |
#NUM! |
0.315240091 |
0.51217985 |
7.00E-05 |
#NUM! |
#NUM! |
#NUM! |
#NUM! |
0.02713034 |
0.338396065 |
6.00E-05 |
#NUM! |
#NUM! |
#NUM! |
#NUM! |
0.05142928 |
0.412057096 |
5.00E-05 |
#NUM! |
#NUM! |
#NUM! |
#NUM! |
0.038589381 |
0.293625755 |
4.00E-05 |
#NUM! |
#NUM! |
#NUM! |
#NUM! |
0.012748396 |
0.344926869 |
3.00E-05 |
#NUM! |
#NUM! |
#NUM! |
#NUM! |
0.032744993 |
0.34900187 |
2.00E-05 |
#NUM! |
#NUM! |
#NUM! |
#NUM! |
0.10510824 |
0.3020116 |
1.00E-05 |
#NUM! |
#NUM! |
#NUM! |
#NUM! |
#NUM! |
0.156125379 |
9.00E-06 |
#NUM! |
#NUM! |
#NUM! |
#NUM! |
#NUM! |
0.081784671 |
8.00E-06 |
#NUM! |
#NUM! |
#NUM! |
#NUM! |
#NUM! |
0.138158611 |
7.00E-06 |
#NUM! |
#NUM! |
#NUM! |
#NUM! |
#NUM! |
0.159227393 |
6.00E-06 |
#NUM! |
#NUM! |
#NUM! |
#NUM! |
#NUM! |
0.272184076 |
5.00E-06 |
#NUM! |
#NUM! |
#NUM! |
#NUM! |
#NUM! |
0.218898743 |
4.00E-06 |
#NUM! |
#NUM! |
#NUM! |
#NUM! |
#NUM! |
0.097365951 |
3.00E-06 |
#NUM! |
#NUM! |
#NUM! |
#NUM! |
#NUM! |
0.090100377 |
2.00E-06 |
#NUM! |
#NUM! |
#NUM! |
#NUM! |
#NUM! |
#NUM! |
1.00E-06 |
#NUM! |
#NUM! |
#NUM! |
#NUM! |
#NUM! |
#NUM! |
综合起来本文观察到了一种轴对称与频率比值守恒之间的关系。
实验数据
学习率 0.1 |
权重初始化方式 |
Random rand1 =new Random(); |
int ti1=rand1.nextInt(98)+1; |
int xx=1; |
if(ti1%2==0) |
{ xx=-1;} |
tw[a][b]=xx*((double)ti1/x); |
第一层第二层和卷积核的权重的初始化的x分别为1000,1000,200 |
实验数据
学习率 0.1
权重初始化方式
Random rand1 =new Random();
int ti1=rand1.nextInt(98)+1;
int xx=1;
if(ti1%2==0)
{ xx=-1;}
tw[a][b]=xx*((double)ti1/x);
第一层第二层和卷积核的权重的初始化的x分别为1000,1000,200
d2(mnist x,0)81-con(3*3)49-30-2-(2*k) ,k∈(0,1)
的数据
ωx0
3 2 1 0.9 0.8 0.7 0.6 0.5 0.4 0.3 0.2 0.1
δ 迭代次数n 迭代次数n 迭代次数n 迭代次数n 迭代次数n 迭代次数n 迭代次数n 迭代次数n 迭代次数n 迭代次数n 迭代次数n 迭代次数n
0.5 14.92462 15.68844 16.03015 17 17.73367 17.78392 18.74372 17.25126 17.04523 16.77889 16.65829 17.13568
0.4 482.7286 652.4121 957.2312 1006.578 1049.281 1118.256 1149.754 1228.98 1264.427 1318.99 1404.528 1400.608
0.3 597.3166 768.206 1172.106 1236.729 1260.347 1346.136 1486.045 1429.181 1555.02 1596.146 1634.296 1711.422
0.2 708.2362 912.7085 1334.186 1418.025 1502.457 1493.533 1589.905 1720.618 1782.156 1755.161 1909.02 1907.774
0.1 869.0201 1081.975 1570.709 1648.95 1651.251 1881.01 1815.533 1940.96 1970.99 2144.387 2126.819 2215.985
0.01 1598.236 1810.196 2383.201 2452.055 2533.794 2549.673 2771.382 2798.035 2835.171 2948.749 3026.508 2936.688
0.001 4577.523 4479.734 4094.839 4036.658 4011.794 3952.095 3967.513 3881.834 3959.784 3909.523 3984.407 4027.935
1.00E-04 17524.45 13354.53 7663.683 7212.568 6700.829 6606.719 6221.151 6207.824 6023.332 5799.07 5881.683 5709.724
9.00E-05 17751.39 13281.5 8024.015 7297.01 7154.266 6577.673 6448.186 6188.377 5792.899 5826.829 5816.839 5832.015
8.00E-05 19499.43 14615.33 8024.889 7747.714 7260.94 7109.905 6564.558 6309.241 6266.759 6024.869 5904.668 5845.784
7.00E-05 21014.17 15486.41 8768.387 8044.91 7593.593 7019.985 6726.347 6581.945 6176.437 6090.749 5981.915 6091.814
6.00E-05 22294.78 16994.86 9337.261 8322.92 7800.889 7689.613 6936.98 6764.296 6527.854 6264.116 6221.141 6254.95
5.00E-05 26322.58 18364.56 9534.91 8780.216 8142.94 7665.131 7428.548 6760.859 6538.709 6404.829 6336.628 6346.256
4.00E-05 29707.79 21241.08 10568.29 9286.327 8493.894 8022.638 7567.02 7419.804 6737.704 6744.186 6630.367 6711.312
3.00E-05 35909.65 23768.93 11313.27 10721.02 9600.538 8765.452 8042.608 7671.422 7460.035 6985.03 7010.91 7166.186
2.00E-05 47553.91 30558.25 13205.96 11782.5 11328.5 9909.925 8960.628 8487.583 7847.412 7840.819 7515.714 7808.538
1.00E-05 74791.46 46967.17 16846.63 15539.15 13522.43 12109.39 11044.31 10266.67 9238.96 9174.307 8969.874 8741.432
9.00E-06 83725.32 48320.5 18167.71 15995.72 14589.64 12660.14 11341.26 10180.44 9889.402 9213.804 8876.407 9212.387
8.00E-06 87884.98 54338.74 18879.53 17333.72 14584.25 13723.04 11863.07 10777.53 9796.96 9485.442 9345.573 8966.739
7.00E-06 100247.5 59448.01 21013.96 18244.54 15373.47 13566.23 11541.61 10989.49 10348.53 9703.492 9109.894 9468.95
6.00E-06 110175.8 67041.5 21331.55 19516.78 16996.95 14061.29 12267.76 11959.93 10582.53 10165.64 10012.79 9659.744
5.00E-06 131295.6 67040.06 24195.95 19960.64 17672.31 15059.98 14449.8 12129.02 11177.04 10334.54 10277.16 10231.93
4.00E-06 144172.9 84352.67 26736.84 23064.97 18925.52 16027.53 14343.9 12973.3 11983.39 10982.29 10658.73 10646.18
3.00E-06 185939 103941.2 30463.61 23573.09 21971.99 18670.64 15401.42 13854.95 13001.59 12433.69 11715.02 11747.08
2.00E-06 244156.7 134591.9 36640.17 28786.84 25115.02 20688.75 18357.7 16175.22 13840.13 13661.15 12814.68 12636.85
1.00E-06 419947.6 217695.7 47166.7 39019.15 33540.73 28221.98 22701.85 18194.13 17113.07 16438.85 15150.44 15070.06
3 2 1 0.9 0.8 0.7 0.6 0.5 0.4 0.3 0.2 0.1
δ 平均准确率p-ave 平均准确率p-ave 平均准确率p-ave 平均准确率p-ave 平均准确率p-ave 平均准确率p-ave 平均准确率p-ave 平均准确率p-ave 平均准确率p-ave 平均准确率p-ave 平均准确率p-ave 平均准确率p-ave
0.5 0.495905 0.508654 0.50185 0.50543 0.505573 0.499809 0.513912 0.50568 0.501496 0.50429 0.507906 0.502244
0.4 0.46339 0.463659 0.473445 0.484503 0.489977 0.498887 0.4981 0.510213 0.527398 0.534307 0.533072 0.525419
0.3 0.463369 0.466398 0.53478 0.54073 0.548406 0.58698 0.591758 0.625413 0.684691 0.674714 0.702092 0.716766
0.2 0.463409 0.475439 0.58735 0.574269 0.625432 0.648146 0.684714 0.704482 0.760747 0.780415 0.827604 0.793934
0.1 0.468313 0.478675 0.5931 0.615372 0.62738 0.685216 0.737477 0.752469 0.812928 0.826896 0.845354 0.833482
0.01 0.464497 0.479601 0.603236 0.62101 0.666983 0.715789 0.737249 0.767017 0.777759 0.805467 0.796353 0.780339
0.001 0.463773 0.474849 0.564494 0.60737 0.614971 0.646554 0.661658 0.694458 0.711187 0.715656 0.752826 0.719828
1.00E-04 0.463426 0.47226 0.533457 0.535754 0.551065 0.581221 0.615159 0.617587 0.640439 0.661214 0.65536 0.665997
9.00E-05 0.463369 0.470024 0.523181 0.545486 0.553538 0.56576 0.623417 0.615579 0.657377 0.673227 0.697955 0.659152
8.00E-05 0.463412 0.471468 0.534072 0.543056 0.550728 0.577676 0.613108 0.637514 0.627297 0.660732 0.659665 0.669843
7.00E-05 0.463421 0.469195 0.52645 0.53062 0.570897 0.596336 0.609031 0.604726 0.639826 0.661815 0.679559 0.653575
6.00E-05 0.465932 0.46985 0.519824 0.541856 0.551638 0.563696 0.586923 0.619941 0.615988 0.639153 0.651394 0.646923
5.00E-05 0.463404 0.470214 0.518127 0.529261 0.553709 0.550041 0.600249 0.62011 0.612462 0.649325 0.649748 0.624356
4.00E-05 0.463431 0.467249 0.520736 0.526811 0.539285 0.549202 0.587253 0.590845 0.636274 0.652463 0.657975 0.64438
3.00E-05 0.463445 0.466671 0.514302 0.519726 0.537344 0.575167 0.594946 0.605778 0.619245 0.631774 0.648191 0.65367
2.00E-05 0.463369 0.46578 0.505366 0.521496 0.523307 0.574511 0.609727 0.586191 0.628236 0.627687 0.660266 0.629124
1.00E-05 0.463366 0.46526 0.502294 0.521753 0.519092 0.543419 0.5583 0.5844 0.603714 0.612633 0.633791 0.632109
9.00E-06 0.463374 0.465557 0.501617 0.507203 0.528555 0.543514 0.56227 0.577172 0.591893 0.628015 0.661656 0.655702
8.00E-06 0.463362 0.465621 0.50817 0.510294 0.53354 0.530767 0.558041 0.566038 0.571085 0.594279 0.623329 0.623246
7.00E-06 0.463378 0.465681 0.498062 0.509902 0.534367 0.52311 0.569108 0.588964 0.58975 0.622588 0.629859 0.612162
6.00E-06 0.463366 0.465597 0.495905 0.52143 0.511004 0.551037 0.548998 0.577236 0.599912 0.629992 0.645571 0.630662
5.00E-06 0.463374 0.465362 0.503064 0.510622 0.517391 0.541383 0.541518 0.579569 0.581824 0.610274 0.622823 0.620923
4.00E-06 0.463457 0.465441 0.506689 0.498566 0.520643 0.542288 0.552384 0.583915 0.629022 0.613298 0.641185 0.620516
3.00E-06 0.463357 0.465023 0.500621 0.507395 0.517726 0.518144 0.553291 0.567326 0.609335 0.608169 0.638103 0.627383
2.00E-06 0.463376 0.464773 0.494757 0.509379 0.522295 0.538886 0.566516 0.577091 0.604597 0.634033 0.633795 0.627485
1.00E-06 0.463369 0.464773 0.499084 0.504447 0.521313 0.527106 0.551476 0.584217 0.594253 0.601402 0.638977 0.65764
3 2 1 0.9 0.8 0.7 0.6 0.5 0.4 0.3 0.2 0.1
δ 最大准确率p-max 最大准确率p-max 最大准确率p-max 最大准确率p-max 最大准确率p-max 最大准确率p-max 最大准确率p-max 最大准确率p-max 最大准确率p-max 最大准确率p-max 最大准确率p-max 最大准确率p-max
0.5 0.7513 0.899764 0.918203 0.953664 0.831206 0.745154 0.919149 0.886525 0.788652 0.945154 0.908747 0.908747
0.4 0.469976 0.488889 0.768794 0.828842 0.880378 0.949409 0.983452 0.929551 0.972104 0.980142 0.960284 0.960284
0.3 0.465721 0.751773 0.963121 0.979196 0.99669 0.994326 0.992435 0.996217 0.997163 0.995745 0.997163 0.997163
0.2 0.469504 0.939007 0.996217 0.991489 0.993853 0.991489 0.997163 0.997636 0.99669 0.997636 0.99669 0.99669
0.1 0.97305 0.990544 0.997163 0.995272 0.995745 0.996217 0.997636 0.995745 0.998109 0.998109 0.997163 0.997163
0.01 0.491253 0.787707 0.98818 0.997163 0.997163 0.996217 0.995745 0.997636 0.997163 0.997636 0.997163 0.997163
0.001 0.4974 0.727187 0.993853 0.997636 0.996217 0.995272 0.994799 0.997163 0.997636 0.997163 0.995272 0.995272
1.00E-04 0.470922 0.937589 0.977778 0.993853 0.985343 0.991962 0.997163 0.997163 0.99669 0.997163 0.99669 0.99669
9.00E-05 0.464303 0.82695 0.970213 0.994326 0.988652 0.990544 0.998109 0.997636 0.998109 0.997636 0.995272 0.995272
8.00E-05 0.469976 0.862411 0.974941 0.967849 0.990071 0.994799 0.99669 0.99669 0.997636 0.997163 0.997163 0.997163
7.00E-05 0.466194 0.903073 0.985343 0.98818 0.98818 0.994799 0.997163 0.997163 0.99669 0.997636 0.997163 0.997163
6.00E-05 0.963121 0.909693 0.990544 0.996217 0.974468 0.997163 0.997163 0.996217 0.997163 0.997636 0.998109 0.998109
5.00E-05 0.468558 0.93948 0.987707 0.993381 0.977305 0.990544 0.996217 0.99669 0.997163 0.99669 0.99669 0.99669
4.00E-05 0.473286 0.619858 0.994799 0.998109 0.995745 0.996217 0.994799 0.994799 0.994799 0.997163 0.995745 0.995745
3.00E-05 0.472813 0.52435 0.969267 0.96643 0.989598 0.99669 0.988652 0.995745 0.997636 0.997636 0.997163 0.997163
2.00E-05 0.464303 0.489362 0.975887 0.974468 0.990544 0.994326 0.997636 0.994799 0.997163 0.998109 0.997636 0.997636
1.00E-05 0.464303 0.49409 0.949409 0.993853 0.944208 0.99669 0.982506 0.995745 0.997163 0.997636 0.99669 0.99669
9.00E-06 0.465248 0.522931 0.929078 0.973522 0.996217 0.994799 0.995272 0.997636 0.997163 0.99669 0.997163 0.997163
8.00E-06 0.464303 0.4974 0.980142 0.98487 0.986288 0.989598 0.997163 0.99669 0.990544 0.997163 0.997163 0.997163
7.00E-06 0.464775 0.552246 0.968322 0.991962 0.993853 0.992908 0.994326 0.995745 0.99669 0.997636 0.99669 0.99669
6.00E-06 0.464775 0.58156 0.885106 0.978723 0.982506 0.994799 0.994799 0.995272 0.996217 0.995745 0.997163 0.997163
5.00E-06 0.466667 0.499291 0.896454 0.98487 0.997636 0.992908 0.976359 0.995272 0.996217 0.996217 0.997163 0.997163
4.00E-06 0.470449 0.500709 0.975887 0.889362 0.963593 0.987234 0.971631 0.995745 0.99669 0.997163 0.997163 0.997163
3.00E-06 0.463357 0.478487 0.952719 0.98156 0.991489 0.958865 0.993381 0.99669 0.997636 0.997636 0.995745 0.995745
2.00E-06 0.465721 0.480851 0.976832 0.99669 0.992908 0.989598 0.993381 0.993381 0.995745 0.99669 0.997163 0.997163
1.00E-06 0.464775 0.486525 0.98487 0.977305 0.991489 0.995745 0.991017 0.998109 0.994799 0.986761 0.997636 0.997636
3 2 1 0.9 0.8 0.7 0.6 0.5 0.4 0.3 0.2 0.1
δ 耗时min 耗时min 耗时min 耗时min 耗时min 耗时min 耗时min/199次 耗时min/199次 耗时min 耗时min 耗时min 耗时min
0.5 2.2972 2.45265 2.480683 2.4831 2.4871 2.49395 2.51305 2.488017 2.480583 2.488217 3.253683 3.27865
0.4 2.609483 2.806833 3.007183 3.046633 3.084467 3.129683 3.145367 3.185767 3.196867 3.208583 4.183467 4.126233
0.3 2.671383 2.87615 3.1423 3.184417 3.208067 3.264383 3.350017 3.300867 3.3645 3.35195 4.33385 4.312617
0.2 2.772333 2.962317 3.23195 3.293133 3.349983 3.34385 3.404183 3.473183 3.496283 3.413533 4.524117 4.421467
0.1 2.772117 3.054383 3.364433 3.420583 3.444233 3.594617 3.55495 3.613033 3.6085 3.680033 4.662583 4.614767
0.01 3.16495 3.48105 3.840933 3.90065 2.914283 4.004633 4.10585 4.1208 4.1153 4.068833 5.281617 5.035617
0.001 4.671883 5.0284 4.838583 4.812717 4.802883 4.820833 4.797117 4.756767 4.771167 4.722333 5.976833 5.6885
1.00E-04 1.20E+01 10.17787 6.926967 6.675 6.4265 6.418733 6.139667 6.1397 5.9791 5.8183 7.291967 5.476583
9.00E-05 1.28E+01 10.12977 7.155133 6.730367 6.6766 6.431733 6.26945 6.114217 5.849867 5.8445 7.193283 6.637117
8.00E-05 1.33E+01 10.11322 7.144483 6.985167 6.72795 6.723417 6.33135 6.191067 6.118183 5.955583 7.26695 6.644
7.00E-05 1.33E+01 11.39345 7.566183 5.369017 6.928633 4.6847 6.440817 6.341567 6.069833 6.001817 7.346967 6.79765
6.00E-05 1.42E+01 12.28925 7.847183 7.2985 7.04855 7.006183 6.558517 6.4595 6.294833 6.0983 7.46605 6.927933
5.00E-05 1.63E+01 13.04438 7.8056 7.599883 7.26565 7.0109 6.849133 6.4591 6.27925 6.171367 7.5325 7.100317
4.00E-05 1.82E+01 13.98533 6.6896 7.892267 7.466533 7.268283 6.915017 6.8478 6.399117 6.375733 6.537767 7.325333
3.00E-05 2.14E+01 16.16637 8.812917 8.707117 6.993083 7.7077 7.197733 7.015717 6.822983 6.516267 8.031833 7.591617
2.00E-05 2.77E+01 20.0666 10.00537 9.335617 9.092867 8.277617 6.786433 7.4694 7.046933 7.004667 8.3893 7.964867
1.00E-05 4.16E+01 28.43952 12.22337 11.5121 10.38562 9.261267 8.91205 6.638833 7.855433 7.788117 9.350883 8.521633
9.00E-06 4.70E+01 30.26207 12.98092 10.73845 10.99117 9.509783 9.089033 8.49455 8.23685 7.797383 9.284567 8.812333
8.00E-06 4.83E+01 33.03128 13.41605 12.58843 10.98663 10.13032 9.3996 8.827833 8.17735 7.084467 7.6805 8.662117
7.00E-06 5.58E+01 36.68915 14.61612 13.08367 11.46293 10.14115 9.238467 8.955867 6.442983 8.101417 7.51885 8.949717
6.00E-06 6.09E+01 40.46728 14.5543 13.8445 11.35227 10.61445 9.645233 9.494067 8.645733 8.404667 8.083033 9.056
5.00E-06 7.17E+01 42.34247 16.3086 14.1014 12.81028 11.19162 9.884267 9.60345 8.9775 8.573717 8.234767 9.270633
4.00E-06 7.91E+01 63.95075 17.76835 15.17555 13.51993 11.76128 10.86002 9.060633 9.451817 8.840033 8.49475 8.555533
3.00E-06 1.01E+02 76.96223 20.1527 16.19653 15.31507 12.51227 11.47492 10.65 10.04367 9.681983 9.077933 10.09235
2.00E-06 1.45E+02 93.56708 24.2129 19.21637 16.40318 14.44897 13.15273 11.99545 10.53173 10.39968 9.70015 10.60457
1.00E-06 2.43E+02 116.4866 28.7749 24.07625 22.00947 18.7899 15.6982 13.16107 11.41092 11.23983 11.01085 12.03838
xx0
0.1
f2[0] f2[1] 迭代次数n 平均准确率p-ave δ 耗时ms/次 耗时ms/199次 耗时min/199次 最大准确率p-max
0.49825 0.50176 17.13568 0.502244 0.5 988.4925 196719 3.27865 0.85721
0.608907 0.391146 1400.608 0.525419 0.4 1244.07 247574 4.126233 0.982979
0.714449 0.285433 1711.422 0.716766 0.3 1300.251 258757 4.312617 0.997636
0.818534 0.181685 1907.774 0.793934 0.2 1333.065 265288 4.421467 0.997636
0.914527 0.085548 2215.985 0.833482 0.1 1391.362 276886 4.614767 0.997163
0.992436 0.007564 2936.688 0.780339 0.01 1518.266 302137 5.035617 0.997636
0.999325 6.77E-04 4027.935 0.719828 0.001 1715.09 341310 5.6885 0.998109
0.999933 6.75E-05 5709.724 0.665997 1.00E-04 1651.201 328595 5.476583 0.998109
0.999941 5.93E-05 5832.015 0.659152 9.00E-05 2001.131 398227 6.637117 0.996217
0.999946 5.39E-05 5845.784 0.669843 8.00E-05 2003.196 398640 6.644 0.998109
0.999952 4.83E-05 6091.814 0.653575 7.00E-05 2049.518 407859 6.79765 0.997163
0.999961 3.88E-05 6254.95 0.646923 6.00E-05 2088.804 415676 6.927933 0.997163
0.999967 3.34E-05 6346.256 0.624356 5.00E-05 2140.764 426019 7.100317 0.997636
0.999973 2.73E-05 6711.312 0.64438 4.00E-05 2208.618 439520 7.325333 0.997163
0.99998 2.04E-05 7166.186 0.65367 3.00E-05 2288.91 455497 7.591617 0.997163
0.999987 1.32E-05 7808.538 0.629124 2.00E-05 2401.447 477892 7.964867 0.997636
0.999993 6.67E-06 8741.432 0.632109 1.00E-05 2569.312 511298 8.521633 0.998109
0.999994 5.86E-06 9212.387 0.655702 9.00E-06 2656.96 528740 8.812333 0.997636
0.999995 5.42E-06 8966.739 0.623246 8.00E-06 2611.658 519727 8.662117 0.998109
0.999995 4.64E-06 9468.95 0.612162 7.00E-06 2698.392 536983 8.949717 0.997163
0.999996 4.03E-06 9659.744 0.630662 6.00E-06 2730.422 543360 9.056 0.998109
0.999997 3.32E-06 10231.93 0.620923 5.00E-06 2795.166 556238 9.270633 0.997163
0.999997 2.67E-06 10646.18 0.620516 4.00E-06 2579.558 513332 8.555533 0.996217
0.999998 2.10E-06 11747.08 0.627383 3.00E-06 3042.844 605541 10.09235 0.997636
0.999999 1.42E-06 12636.85 0.627485 2.00E-06 3197.357 636274 10.60457 0.994326
0.999999 6.86E-07 15070.06 0.65764 1.00E-06 3629.588 722303 12.03838 0.997636
xx0
0.2
f2[0] f2[1] 迭代次数n 平均准确率p-ave δ 耗时ms/次 耗时ms/199次 耗时min/199次 最大准确率p-max
0.497542 0.49936 16.65829 0.507906 0.5 981.0101 195221 3.253683 0.908747
0.609652 0.390375 1404.528 0.533072 0.4 1261.347 251008 4.183467 0.960284
0.714872 0.28507 1634.296 0.702092 0.3 1306.688 260031 4.33385 0.997163
0.814695 0.185108 1909.02 0.827604 0.2 1364.055 271447 4.524117 0.99669
0.913341 0.086622 2126.819 0.845354 0.1 1405.729 279755 4.662583 0.997163
0.99248 0.00752 3026.508 0.796353 0.01 1592.447 316897 5.281617 0.997163
0.999309 6.90E-04 3984.407 0.752826 0.001 1802.06 358610 5.976833 0.995272
0.999933 6.74E-05 5881.683 0.65536 1.00E-04 2198.347 437518 7.291967 0.99669
0.999939 6.07E-05 5816.839 0.697955 9.00E-05 2168.824 431597 7.193283 0.995272
0.999947 5.33E-05 5904.668 0.659665 8.00E-05 2191.04 436017 7.26695 0.997163
0.999954 4.64E-05 5981.915 0.679559 7.00E-05 2215.166 440818 7.346967 0.997163
0.99996 4.05E-05 6221.141 0.651394 6.00E-05 2251.07 447963 7.46605 0.998109
0.999966 3.41E-05 6336.628 0.649748 5.00E-05 2271.106 451950 7.5325 0.99669
0.999973 2.69E-05 6630.367 0.657975 4.00E-05 1971.186 392266 6.537767 0.995745
0.999979 2.06E-05 7010.91 0.648191 3.00E-05 2421.658 481910 8.031833 0.997163
0.999987 1.34E-05 7515.714 0.660266 2.00E-05 2529.437 503358 8.3893 0.997636
0.999994 6.38E-06 8969.874 0.633791 1.00E-05 2819.352 561053 9.350883 0.99669
0.999994 6.06E-06 8876.407 0.661656 9.00E-06 2799.357 557074 9.284567 0.997163
0.999995 5.40E-06 9345.573 0.623329 8.00E-06 2315.678 460830 7.6805 0.997163
0.999995 4.79E-06 9109.894 0.629859 7.00E-06 2266.95 451131 7.51885 0.99669
0.999996 4.04E-06 10012.79 0.645571 6.00E-06 2437.065 484982 8.083033 0.997163
0.999997 3.22E-06 10277.16 0.622823 5.00E-06 2482.804 494086 8.234767 0.997163
0.999997 2.75E-06 10658.73 0.641185 4.00E-06 2561.196 509685 8.49475 0.997163
0.999998 2.09E-06 11715.02 0.638103 3.00E-06 2737.025 544676 9.077933 0.995745
0.999999 1.40E-06 12814.68 0.633795 2.00E-06 2924.658 582009 9.70015 0.997163
0.999999 6.89E-07 15150.44 0.638977 1.00E-06 3319.839 660651 11.01085 0.997636
xx0
0.3
f2[0] f2[1] 迭代次数n 平均准确率p-ave δ 耗时ms/次 耗时ms/199次 耗时min/199次 最大准确率p-max
0.500149 0.498559 16.77889 0.50429 0.5 750.2161 149293 2.488217 0.945154
0.610066 0.389878 1318.99 0.534307 0.4 967.3367 192515 3.208583 0.980142
0.715773 0.284263 1596.146 0.674714 0.3 1010.638 201117 3.35195 0.995745
0.817699 0.181662 1755.161 0.780415 0.2 1029.206 204812 3.413533 0.997636
0.913908 0.086105 2144.387 0.826896 0.1 1109.558 220802 3.680033 0.998109
0.992204 0.007821 2948.749 0.805467 0.01 1226.633 244130 4.068833 0.997636
0.999294 7.07E-04 3909.523 0.715656 0.001 1423.819 283340 4.722333 0.997163
0.999929 7.05E-05 5799.07 0.661214 1.00E-04 1754.101 349098 5.8183 0.997163
0.999937 6.34E-05 5826.829 0.673227 9.00E-05 1762.161 350670 5.8445 0.997636
0.999944 5.55E-05 6024.869 0.660732 8.00E-05 1795.653 357335 5.955583 0.997163
0.999954 4.66E-05 6090.749 0.661815 7.00E-05 1809.593 360109 6.001817 0.997636
0.99996 4.04E-05 6264.116 0.639153 6.00E-05 1838.683 365898 6.0983 0.997636
0.999967 3.28E-05 6404.829 0.649325 5.00E-05 1860.714 370282 6.171367 0.99669
0.999971 2.85E-05 6744.186 0.652463 4.00E-05 1922.332 382544 6.375733 0.997163
0.99998 1.98E-05 6985.03 0.631774 3.00E-05 1964.704 390976 6.516267 0.997636
0.999987 1.29E-05 7840.819 0.627687 2.00E-05 2111.879 420280 7.004667 0.998109
0.999994 6.42E-06 9174.307 0.612633 1.00E-05 2348.176 467287 7.788117 0.997636
0.999994 5.67E-06 9213.804 0.628015 9.00E-06 2350.889 467843 7.797383 0.99669
0.999995 5.13E-06 9485.442 0.594279 8.00E-06 2136.02 425068 7.084467 0.997163
0.999995 4.56E-06 9703.492 0.622588 7.00E-06 2442.563 486085 8.101417 0.997636
0.999996 4.13E-06 10165.64 0.629992 6.00E-06 2534.07 504280 8.404667 0.995745
0.999997 3.44E-06 10334.54 0.610274 5.00E-06 2584.809 514423 8.573717 0.996217
0.999997 2.85E-06 10982.29 0.613298 4.00E-06 2665.337 530402 8.840033 0.997163
0.999998 2.07E-06 12433.69 0.608169 3.00E-06 2919.111 580919 9.681983 0.997636
0.999999 1.37E-06 13661.15 0.634033 2.00E-06 3135.583 623981 10.39968 0.99669
0.999999 7.13E-07 16438.85 0.601402 1.00E-06 3388.894 674390 11.23983 0.986761
xx0
0.4
f2[0] f2[1] 迭代次数n 平均准确率p-ave δ 耗时ms/次 耗时ms/199次 耗时min/199次 最大准确率p-max
0.499587 0.499184 17.04523 0.501496 0.5 747.8342 148835 2.480583 0.788652
0.609511 0.390272 1264.427 0.527398 0.4 963.804 191812 3.196867 0.972104
0.715344 0.283871 1555.02 0.684691 0.3 1014.422 201870 3.3645 0.997163
0.820188 0.179812 1782.156 0.760747 0.2 1054 209777 3.496283 0.99669
0.913637 0.08616 1970.99 0.812928 0.1 1087.91 216510 3.6085 0.998109
0.992008 0.007995 2835.171 0.777759 0.01 1240.638 246918 4.1153 0.997163
0.999272 7.29E-04 3959.784 0.711187 0.001 1438.543 286270 4.771167 0.997636
0.999927 7.28E-05 6023.332 0.640439 1.00E-04 1802.744 358746 5.9791 0.99669
0.999936 6.37E-05 5792.899 0.657377 9.00E-05 1763.628 350992 5.849867 0.998109
0.999946 5.39E-05 6266.759 0.627297 8.00E-05 1844.598 367091 6.118183 0.997636
0.999954 4.63E-05 6176.437 0.639826 7.00E-05 1830.101 364190 6.069833 0.99669
0.999959 4.08E-05 6527.854 0.615988 6.00E-05 1897.94 377690 6.294833 0.997163
0.999966 3.36E-05 6538.709 0.612462 5.00E-05 1893.241 376755 6.27925 0.997163
0.999973 2.68E-05 6737.704 0.636274 4.00E-05 1929.382 383947 6.399117 0.994799
0.99998 1.98E-05 7460.035 0.619245 3.00E-05 2057.181 409379 6.822983 0.997636
0.999987 1.30E-05 7847.412 0.628236 2.00E-05 2124.704 422816 7.046933 0.997163
0.999993 6.55E-06 9238.96 0.603714 1.00E-05 2368.472 471326 7.855433 0.997163
0.999994 5.97E-06 9889.402 0.591893 9.00E-06 2483.472 494211 8.23685 0.997163
0.999995 5.18E-06 9796.96 0.571085 8.00E-06 2465.533 490641 8.17735 0.990544
0.999995 4.53E-06 10348.53 0.58975 7.00E-06 1942.528 386579 6.442983 0.99669
0.999996 4.07E-06 10582.53 0.599912 6.00E-06 2606.673 518744 8.645733 0.996217
0.999997 3.37E-06 11177.04 0.581824 5.00E-06 2706.784 538650 8.9775 0.996217
0.999997 2.91E-06 11983.39 0.629022 4.00E-06 2849.794 567109 9.451817 0.99669
0.999998 2.05E-06 13001.59 0.609335 3.00E-06 3028.241 602620 10.04367 0.997636
0.999999 1.40E-06 13840.13 0.604597 2.00E-06 3175.322 631904 10.53173 0.995745
0.999999 6.85E-07 17113.07 0.594253 1.00E-06 3440.477 684655 11.41092 0.994799
xx0
0.5
f2[0] f2[1] 迭代次数n 平均准确率p-ave δ 耗时ms/次 耗时ms/199次 耗时min/199次 最大准确率p-max
0.499342 0.500508 17.25126 0.50568 0.5 750.1558 149281 2.488017 0.886525
0.609367 0.390789 1228.98 0.510213 0.4 960.5327 191146 3.185767 0.929551
0.715309 0.285033 1429.181 0.625413 0.3 995.2362 198052 3.300867 0.996217
0.817556 0.18273 1720.618 0.704482 0.2 1047.111 208391 3.473183 0.997636
0.913142 0.086762 1940.96 0.752469 0.1 1089.357 216782 3.613033 0.995745
0.992014 0.007998 2798.035 0.767017 0.01 1242.452 247248 4.1208 0.997636
0.999296 7.05E-04 3881.834 0.694458 0.001 1434.201 285406 4.756767 0.997163
0.99993 6.97E-05 6207.824 0.617587 1.00E-04 1851.09 368382 6.1397 0.997163
0.999937 6.30E-05 6188.377 0.615579 9.00E-05 1843.482 366853 6.114217 0.997636
0.999945 5.51E-05 6309.241 0.637514 8.00E-05 1866.653 371464 6.191067 0.99669
0.99995 4.96E-05 6581.945 0.604726 7.00E-05 1912.03 380494 6.341567 0.997163
0.999959 4.06E-05 6764.296 0.619941 6.00E-05 1947.588 387570 6.4595 0.996217
0.999966 3.43E-05 6760.859 0.62011 5.00E-05 1947.467 387546 6.4591 0.99669
0.999974 2.57E-05 7419.804 0.590845 4.00E-05 2064.663 410868 6.8478 0.994799
0.999981 1.92E-05 7671.422 0.605778 3.00E-05 2115.291 420943 7.015717 0.995745
0.999987 1.29E-05 8487.583 0.586191 2.00E-05 2252.005 448164 7.4694 0.994799
0.999993 6.84E-06 10266.67 0.5844 1.00E-05 2001.658 398330 6.638833 0.995745
0.999994 6.11E-06 10180.44 0.577172 9.00E-06 2561.171 509673 8.49455 0.997636
0.999994 5.70E-06 10777.53 0.566038 8.00E-06 2661.578 529670 8.827833 0.99669
0.999995 4.86E-06 10989.49 0.588964 7.00E-06 2700.181 537352 8.955867 0.995745
0.999996 4.26E-06 11959.93 0.577236 6.00E-06 2862.533 569644 9.494067 0.995272
0.999996 3.53E-06 12129.02 0.579569 5.00E-06 2895.513 576207 9.60345 0.995272
0.999997 2.78E-06 12973.3 0.583915 4.00E-06 2731.849 543638 9.060633 0.995745
0.999998 2.11E-06 13854.95 0.567326 3.00E-06 3211.055 639000 10.65 0.99669
0.999999 1.36E-06 16175.22 0.577091 2.00E-06 3616.719 719727 11.99545 0.993381
0.999999 6.89E-07 18194.13 0.584217 1.00E-06 3968 789664 13.16107 0.998109
xx0
0.6
f2[0] f2[1] 迭代次数n 平均准确率p-ave δ 耗时ms/次 耗时ms/199次 耗时min/199次 最大准确率p-max
0.4991 0.501789 18.74372 0.513912 0.5 757.6231 150783 2.51305 0.919149
0.610363 0.389634 1149.754 0.4981 0.4 948.3518 188722 3.145367 0.983452
0.71464 0.285307 1486.045 0.591758 0.3 1009.975 201001 3.350017 0.992435
0.817783 0.182038 1589.905 0.684714 0.2 1026.231 204251 3.404183 0.997163
0.913902 0.086357 1815.533 0.737477 0.1 1071.844 213297 3.55495 0.997636
0.992036 0.007969 2771.382 0.737249 0.01 1237.945 246351 4.10585 0.995745
0.999252 7.48E-04 3967.513 0.661658 0.001 1446.367 287827 4.797117 0.994799
0.999925 7.46E-05 6221.151 0.615159 1.00E-04 1851.156 368380 6.139667 0.997163
0.999936 6.40E-05 6448.186 0.623417 9.00E-05 1890.286 376167 6.26945 0.998109
0.999945 5.49E-05 6564.558 0.613108 8.00E-05 1908.95 379881 6.33135 0.99669
0.999954 4.61E-05 6726.347 0.609031 7.00E-05 1941.955 386449 6.440817 0.997163
0.999959 4.13E-05 6936.98 0.586923 6.00E-05 1977.442 393511 6.558517 0.997163
0.999966 3.35E-05 7428.548 0.600249 5.00E-05 2065.065 410948 6.849133 0.996217
0.999973 2.66E-05 7567.02 0.587253 4.00E-05 2084.93 414901 6.915017 0.994799
0.99998 1.99E-05 8042.608 0.594946 3.00E-05 2170.171 431864 7.197733 0.988652
0.999987 1.34E-05 8960.628 0.609727 2.00E-05 2046.161 407186 6.786433 0.997636
0.999993 7.06E-06 11044.31 0.5583 1.00E-05 2687.05 534723 8.91205 0.982506
0.999994 6.25E-06 11341.26 0.56227 9.00E-06 2740.412 545342 9.089033 0.995272
0.999994 5.69E-06 11863.07 0.558041 8.00E-06 2834.05 563976 9.3996 0.997163
0.999995 5.02E-06 11541.61 0.569108 7.00E-06 2785.467 554308 9.238467 0.994326
0.999996 4.19E-06 12267.76 0.548998 6.00E-06 2908.111 578714 9.645233 0.994799
0.999996 3.55E-06 14449.8 0.541518 5.00E-06 2980.02 593056 9.884267 0.976359
0.999997 2.86E-06 14343.9 0.552384 4.00E-06 3274.377 651601 10.86002 0.971631
0.999998 2.17E-06 15401.42 0.553291 3.00E-06 3459.693 688495 11.47492 0.993381
0.999999 1.43E-06 18357.7 0.566516 2.00E-06 3965.648 789164 13.15273 0.993381
0.999999 7.60E-07 22701.85 0.551476 1.00E-06 4733.126 941892 15.6982 0.991017
xx0
0.7
f2[0] f2[1] 迭代次数n 平均准确率p-ave δ 耗时ms/次 耗时ms/199次 耗时min/199次 最大准确率p-max
0.503591 0.49764 17.78392 0.499809 0.5 751.9447 149637 2.49395 0.745154
0.610101 0.389716 1118.256 0.498887 0.4 943.6231 187781 3.129683 0.949409
0.715348 0.284785 1346.136 0.58698 0.3 984.1558 195863 3.264383 0.994326
0.818389 0.181676 1493.533 0.648146 0.2 1008.196 200631 3.34385 0.991489
0.911608 0.088295 1881.01 0.685216 0.1 1083.804 215677 3.594617 0.996217
0.991698 0.008306 2549.673 0.715789 0.01 1207.427 240278 4.004633 0.996217
0.999225 7.74E-04 3952.095 0.646554 0.001 1453.518 289250 4.820833 0.995272
0.999928 7.23E-05 6606.719 0.581221 1.00E-04 1935.296 385124 6.418733 0.991962
0.999937 6.27E-05 6577.673 0.56576 9.00E-05 1939.216 385904 6.431733 0.990544
0.999943 5.67E-05 7109.905 0.577676 8.00E-05 2027.161 403405 6.723417 0.994799
0.999951 4.94E-05 7019.985 0.596336 7.00E-05 1412.397 281082 4.6847 0.994799
0.999959 4.10E-05 7689.613 0.563696 6.00E-05 2112.337 420371 7.006183 0.997163
0.999967 3.26E-05 7665.131 0.550041 5.00E-05 2113.759 420654 7.0109 0.990544
0.999974 2.64E-05 8022.638 0.549202 4.00E-05 2191.442 436097 7.268283 0.996217
0.99998 1.99E-05 8765.452 0.575167 3.00E-05 2323.93 462462 7.7077 0.99669
0.999986 1.39E-05 9909.925 0.574511 2.00E-05 2495.764 496657 8.277617 0.994326
0.999993 7.30E-06 12109.39 0.543419 1.00E-05 2792.342 555676 9.261267 0.99669
0.999993 6.59E-06 12660.14 0.543514 9.00E-06 2867.196 570587 9.509783 0.994799
0.999994 5.67E-06 13723.04 0.530767 8.00E-06 3054.367 607819 10.13032 0.989598
0.999995 5.15E-06 13566.23 0.52311 7.00E-06 3057.633 608469 10.14115 0.992908
0.999996 4.28E-06 14061.29 0.551037 6.00E-06 3200.337 636867 10.61445 0.994799
0.999996 3.64E-06 15059.98 0.541383 5.00E-06 3374.357 671497 11.19162 0.992908
0.999997 2.99E-06 16027.53 0.542288 4.00E-06 3546.116 705677 11.76128 0.987234
0.999998 2.20E-06 18670.64 0.518144 3.00E-06 3772.543 750736 12.51227 0.958865
0.999999 1.48E-06 20688.75 0.538886 2.00E-06 4356.392 866938 14.44897 0.989598
0.999999 7.83E-07 28221.98 0.527106 1.00E-06 5665.296 1127394 18.7899 0.995745
xx0
0.8
f2[0] f2[1] 迭代次数n 平均准确率p-ave δ 耗时ms/次 耗时ms/199次 耗时min/199次 最大准确率p-max
0.500301 0.500971 17.73367 0.505573 0.5 749.799 149226 2.4871 0.831206
0.609427 0.390451 1049.281 0.489977 0.4 929.9899 185068 3.084467 0.880378
0.715991 0.283709 1260.347 0.548406 0.3 967.2563 192484 3.208067 0.99669
0.81734 0.182775 1502.457 0.625432 0.2 1010.045 200999 3.349983 0.993853
0.912449 0.087562 1651.251 0.62738 0.1 1038.462 206654 3.444233 0.995745
0.991729 0.008284 2533.794 0.666983 0.01 878.6784 174857 2.914283 0.997163
0.999209 7.91E-04 4011.794 0.614971 0.001 1448.025 288173 4.802883 0.996217
0.999931 6.90E-05 6700.829 0.551065 1.00E-04 1937.638 385590 6.4265 0.985343
0.999936 6.45E-05 7154.266 0.553538 9.00E-05 2013.045 400596 6.6766 0.988652
0.999945 5.55E-05 7260.94 0.550728 8.00E-05 2028.528 403677 6.72795 0.990071
0.999951 4.91E-05 7593.593 0.570897 7.00E-05 2088.955 415718 6.928633 0.98818
0.99996 4.03E-05 7800.889 0.551638 6.00E-05 2125.116 422913 7.04855 0.974468
0.999964 3.56E-05 8142.94 0.553709 5.00E-05 2190.573 435939 7.26565 0.977305
0.999973 2.72E-05 8493.894 0.539285 4.00E-05 2251.216 447992 7.466533 0.995745
0.999978 2.23E-05 9600.538 0.537344 3.00E-05 2108.467 419585 6.993083 0.989598
0.999986 1.38E-05 11328.5 0.523307 2.00E-05 2741.322 545572 9.092867 0.990544
0.999993 7.42E-06 13522.43 0.519092 1.00E-05 3131.191 623137 10.38562 0.944208
0.999993 6.70E-06 14589.64 0.528555 9.00E-06 3313.844 659470 10.99117 0.996217
0.999994 5.86E-06 14584.25 0.53354 8.00E-06 3312.553 659198 10.98663 0.986288
0.999995 5.32E-06 15373.47 0.534367 7.00E-06 3456.161 687776 11.46293 0.993853
0.999996 4.42E-06 16996.95 0.511004 6.00E-06 3422.794 681136 11.35227 0.982506
0.999996 3.67E-06 17672.31 0.517391 5.00E-06 3862.397 768617 12.81028 0.997636
0.999997 3.01E-06 18925.52 0.520643 4.00E-06 4076.126 811196 13.51993 0.963593
0.999998 2.21E-06 21971.99 0.517726 3.00E-06 4617.528 918904 15.31507 0.991489
0.999998 1.53E-06 25115.02 0.522295 2.00E-06 4945.683 984191 16.40318 0.992908
0.999999 8.11E-07 33540.73 0.521313 1.00E-06 6636.02 1320568 22.00947 0.991489
xx0
0.9
f2[0] f2[1] 迭代次数n 平均准确率p-ave δ 耗时ms/次 耗时ms/199次 耗时min/199次 最大准确率p-max
0.502305 0.496737 17 0.50543 0.5 748.6734 148986 2.4831 0.953664
0.60905 0.390793 1006.578 0.484503 0.4 918.5075 182798 3.046633 0.828842
0.714764 0.285409 1236.729 0.54073 0.3 960.1256 191065 3.184417 0.979196
0.816581 0.183008 1418.025 0.574269 0.2 992.8241 197588 3.293133 0.991489
0.913523 0.086484 1648.95 0.615372 0.1 1031.332 205235 3.420583 0.995272
0.991385 0.008605 2452.055 0.62101 0.01 1176.075 234039 3.90065 0.997163
0.999199 8.01E-04 4036.658 0.60737 0.001 1450.995 288763 4.812717 0.997636
0.999928 7.22E-05 7212.568 0.535754 1.00E-04 2012.563 400500 6.675 0.993853
0.999935 6.50E-05 7297.01 0.545486 9.00E-05 2029.256 403822 6.730367 0.994326
0.999944 5.60E-05 7747.714 0.543056 8.00E-05 2106.005 419110 6.985167 0.967849
0.999949 5.06E-05 8044.91 0.53062 7.00E-05 1618.799 322141 5.369017 0.98818
0.999956 4.36E-05 8322.92 0.541856 6.00E-05 2200.553 437910 7.2985 0.996217
0.999964 3.62E-05 8780.216 0.529261 5.00E-05 2291.337 455993 7.599883 0.993381
0.999971 2.86E-05 9286.327 0.526811 4.00E-05 2379.497 473536 7.892267 0.998109
0.999978 2.23E-05 10721.02 0.519726 3.00E-05 2625.261 522427 8.707117 0.96643
0.999985 1.51E-05 11782.5 0.521496 2.00E-05 2814.759 560137 9.335617 0.974468
0.999992 7.57E-06 15539.15 0.521753 1.00E-05 3470.985 690726 11.5121 0.993853
0.999993 6.69E-06 15995.72 0.507203 9.00E-06 3237.724 644307 10.73845 0.973522
0.999994 5.96E-06 17333.72 0.510294 8.00E-06 3795.508 755306 12.58843 0.98487
0.999995 5.30E-06 18244.54 0.509902 7.00E-06 3944.744 785020 13.08367 0.991962
0.999995 4.66E-06 19516.78 0.52143 6.00E-06 4174.221 830670 13.8445 0.978723
0.999996 3.81E-06 19960.64 0.510622 5.00E-06 4251.678 846084 14.1014 0.98487
0.999997 3.10E-06 23064.97 0.498566 4.00E-06 4575.543 910533 15.17555 0.889362
0.999998 2.29E-06 23573.09 0.507395 3.00E-06 4883.377 971792 16.19653 0.98156
0.999998 1.59E-06 28786.84 0.509379 2.00E-06 5793.879 1152982 19.21637 0.99669
0.999999 8.20E-07 39019.15 0.504447 1.00E-06 7259.171 1444575 24.07625 0.977305
xx0
1
f2[0] f2[1] 迭代次数n 平均准确率p-ave δ 耗时ms/次 耗时ms/199次 耗时min/199次 最大准确率p-max
0.495009 0.502743 16.03015 0.50185 0.5 747.9447 148841 2.480683 0.918203
0.609998 0.389748 957.2312 0.473445 0.4 906.6884 180431 3.007183 0.768794
0.71512 0.284798 1172.106 0.53478 0.3 947.4271 188538 3.1423 0.963121
0.815373 0.184435 1334.186 0.58735 0.2 974.4573 193917 3.23195 0.996217
0.912169 0.087755 1570.709 0.5931 0.1 1014.402 201866 3.364433 0.997163
0.991552 0.008461 2383.201 0.603236 0.01 1158.07 230456 3.840933 0.98818
0.9992 8.00E-04 4094.839 0.564494 0.001 1458.869 290315 4.838583 0.993853
0.999924 7.62E-05 7663.683 0.533457 1.00E-04 2088.533 415618 6.926967 0.977778
0.999934 6.56E-05 8024.015 0.523181 9.00E-05 2157.327 429308 7.155133 0.970213
0.999942 5.80E-05 8024.889 0.534072 8.00E-05 2154.035 428669 7.144483 0.974941
0.999948 5.18E-05 8768.387 0.52645 7.00E-05 2281.181 453971 7.566183 0.985343
0.999955 4.53E-05 9337.261 0.519824 6.00E-05 2365.985 470831 7.847183 0.990544
0.999963 3.67E-05 9534.91 0.518127 5.00E-05 2353.447 468336 7.8056 0.987707
0.99997 2.98E-05 10568.29 0.520736 4.00E-05 2016.965 401376 6.6896 0.994799
0.999978 2.17E-05 11313.27 0.514302 3.00E-05 2657.08 528775 8.812917 0.969267
0.999984 1.56E-05 13205.96 0.505366 2.00E-05 3016.693 600322 10.00537 0.975887
0.999992 7.73E-06 16846.63 0.502294 1.00E-05 3685.437 733402 12.22337 0.949409
0.999993 6.92E-06 18167.71 0.501617 9.00E-06 3913.844 778855 12.98092 0.929078
0.999994 6.41E-06 18879.53 0.50817 8.00E-06 4045.04 804963 13.41605 0.980142
0.999994 5.54E-06 21013.96 0.498062 7.00E-06 4406.869 876967 14.61612 0.968322
0.999995 4.65E-06 21331.55 0.495905 6.00E-06 4387.995 873258 14.5543 0.885106
0.999996 4.06E-06 24195.95 0.503064 5.00E-06 4917.085 978516 16.3086 0.896454
0.999997 3.25E-06 26736.84 0.506689 4.00E-06 5357.291 1066101 17.76835 0.975887
0.999998 2.44E-06 30463.61 0.500621 3.00E-06 6076.181 1209162 20.1527 0.952719
0.999998 1.65E-06 36640.17 0.494757 2.00E-06 7300.367 1452774 24.2129 0.976832
0.999999 8.30E-07 47166.7 0.499084 1.00E-06 8675.693 1726494 28.7749 0.98487
xx0
2
f2[0] f2[1] 迭代次数n 平均准确率p-ave δ 耗时ms/次 耗时ms/199次 耗时min/199次 最大准确率p-max
0.501754 0.499533 15.68844 0.508654 0.5 739.4874 147159 2.45265 0.899764
0.60473 0.395219 652.4121 0.463659 0.4 846.201 168410 2.806833 0.488889
0.712735 0.286871 768.206 0.466398 0.3 867.1809 172569 2.87615 0.751773
0.814861 0.185195 912.7085 0.475439 0.2 893.1608 177739 2.962317 0.939007
0.910565 0.089366 1081.975 0.478675 0.1 920.9196 183263 3.054383 0.990544
0.991227 0.00877 1810.196 0.479601 0.01 1049.563 208863 3.48105 0.787707
0.999119 8.81E-04 4479.734 0.474849 0.001 1516.101 301704 5.0284 0.727187
0.999914 8.60E-05 13354.53 0.47226 1.00E-04 3068.704 610672 10.17787 0.937589
0.999922 7.81E-05 13281.5 0.470024 9.00E-05 3054.201 607786 10.12977 0.82695
0.999933 6.72E-05 14615.33 0.471468 8.00E-05 3049.211 606793 10.11322 0.862411
0.99994 5.99E-05 15486.41 0.469195 7.00E-05 3435.211 683607 11.39345 0.903073
0.999949 5.07E-05 16994.86 0.46985 6.00E-05 3705.302 737355 12.28925 0.909693
0.999958 4.20E-05 18364.56 0.470214 5.00E-05 3932.98 782663 13.04438 0.93948
0.999966 3.40E-05 21241.08 0.467249 4.00E-05 4216.683 839120 13.98533 0.619858
0.999974 2.59E-05 23768.93 0.466671 3.00E-05 4874.281 969982 16.16637 0.52435
0.999983 1.74E-05 30558.25 0.46578 2.00E-05 6050.231 1203996 20.0666 0.489362
0.999991 8.77E-06 46967.17 0.46526 1.00E-05 8574.729 1706371 28.43952 0.49409
0.999992 7.89E-06 48320.5 0.465557 9.00E-06 9124.241 1815724 30.26207 0.522931
0.999993 7.06E-06 54338.74 0.465621 8.00E-06 9959.181 1981877 33.03128 0.4974
0.999994 6.24E-06 59448.01 0.465681 7.00E-06 11061.98 2201349 36.68915 0.552246
0.999995 5.41E-06 67041.5 0.465597 6.00E-06 12201.12 2428037 40.46728 0.58156
0.999996 4.47E-06 67040.06 0.465362 5.00E-06 12766.57 2540548 42.34247 0.499291
0.999996 3.62E-06 84352.67 0.465441 4.00E-06 19281.63 3837045 63.95075 0.500709
0.999997 2.77E-06 103941.2 0.465023 3.00E-06 23204.69 4617734 76.96223 0.478487
0.999998 1.87E-06 134591.9 0.464773 2.00E-06 28211.18 5614025 93.56708 0.480851
0.999999 9.56E-07 217695.7 0.464773 1.00E-06 35121.6 6989198 116.4866 0.486525
xx0
3
f2[0] f2[1] 迭代次数n 平均准确率p-ave δ 耗时ms/次 耗时ms/199次 耗时min/199次 最大准确率p-max
0.499746 0.497633 14.92462 0.495905 0.5 692.608 137832 2.2972 0.7513
0.597269 0.403009 482.7286 0.46339 0.4 786.7487 156569 2.609483 0.469976
0.707152 0.293128 597.3166 0.463369 0.3 805.392 160283 2.671383 0.465721
0.812688 0.187043 708.2362 0.463409 0.2 835.8392 166340 2.772333 0.469504
0.908241 0.091842 869.0201 0.468313 0.1 835.7889 166327 2.772117 0.97305
0.991014 0.008979 1598.236 0.464497 0.01 954.2261 189897 3.16495 0.491253
0.999103 8.97E-04 4577.523 0.463773 0.001 1408.452 280313 4.671883 0.4974
0.999911 8.92E-05 17524.45 0.463426 1.00E-04 3627.322 721840 12.03067 0.470922
0.999921 7.95E-05 17751.39 0.463369 9.00E-05 3853.698 766898 12.78163 0.464303
0.999929 7.14E-05 19499.43 0.463412 8.00E-05 4019.548 799899 13.33165 0.469976
0.999938 6.25E-05 21014.17 0.463421 7.00E-05 4009.206 797880 13.298 0.466194
0.999946 5.36E-05 22294.78 0.465932 6.00E-05 4274.849 850695 14.17825 0.963121
0.999955 4.47E-05 26322.58 0.463404 5.00E-05 4922.774 979632 16.3272 0.468558
0.999964 3.63E-05 29707.79 0.463431 4.00E-05 5475.04 1089533 18.15888 0.473286
0.999973 2.71E-05 35909.65 0.463445 3.00E-05 6462.648 1286083 21.43472 0.472813
0.999982 1.80E-05 47553.91 0.463369 2.00E-05 8341.236 1659906 27.6651 0.464303
0.999991 9.29E-06 74791.46 0.463366 1.00E-05 12547.36 2496925 41.61542 0.464303
0.999992 8.37E-06 83725.32 0.463374 9.00E-06 14183.24 2822464 47.04107 0.465248
0.999993 7.49E-06 87884.98 0.463362 8.00E-06 14548.31 2895113 48.25188 0.464303
0.999993 6.54E-06 100247.5 0.463378 7.00E-06 16809.77 3345144 55.7524 0.464775
0.999994 5.64E-06 110175.8 0.463366 6.00E-06 18366.48 3654944 60.91573 0.464775
0.999995 4.75E-06 131295.6 0.463374 5.00E-06 21620.79 4302553 71.70922 0.466667
0.999996 3.81E-06 144172.9 0.463457 4.00E-06 23858.06 4747753 79.12922 0.470449
0.999997 2.88E-06 185939 0.463357 3.00E-06 30463.61 6062258 101.0376 0.463357
0.999998 1.93E-06 244156.7 0.463376 2.00E-06 43632.16 8682816 144.7136 0.465721
0.999999 9.77E-07 419947.6 0.463369 1.00E-06 73395.78 14605761 243.4294 0.464775
d2(mnist x,1)81-con(3*3)49-30-2-(2*k) ,k∈(0,1)
3 2 1 0.9 0.8 0.7 0.6 0.5
δ 迭代次数n 迭代次数n 迭代次数n 迭代次数n 迭代次数n 迭代次数n 迭代次数n 迭代次数n
0.5 15.60302 15.77387 19.86432 17.11055 20.25628 20.48241 22.32663 21.45226
0.4 521.1859 772.9447 1365.578 1398.271 1544.151 1654.503 1672.764 1832.432
0.3 633.6935 941.2965 1678.482 1712.04 1812.995 1890.523 1971.025 2176.271
0.2 745.7688 1041.296 1750.342 1846.402 1954.131 2114.06 2327.779 2476.553
0.1 939.0653 1192.925 2045.307 2135.92 2214.271 2548.261 2496.472 2705.246
0.01 1711.156 2004.714 2768.151 2825.296 3020.583 3203.638 3234.03 3447.759
0.001 4876.09 4472.643 4134.111 4116.302 4271.317 4332.663 4504.281 4553.759
1.00E-04 17130.92 11332.59 6966.231 6835.889 6585.226 6481.146 6368.734 6314.925
9.00E-05 18451.88 13491.5 7328.894 7052.151 6878.482 6619.518 6483.437 6495.528
8.00E-05 19985.77 13571.37 7597.97 7257.849 6983.698 6888.834 6782.201 6545.558
7.00E-05 21658.05 13971.86 7784.402 7507.91 7342.714 7054.03 7010.281 6854.573
6.00E-05 24107.16 16636.74 7899.538 7774.583 7342.09 7349.729 7116.915 7004.131
5.00E-05 26671.43 16298.13 8134.271 8080.764 7726.151 7589.337 7318.995 7356.181
4.00E-05 30711.74 20140.14 8590 8114.925 8048.593 7815.91 7607.819 7545.769
3.00E-05 34637.2 21890.45 9001.015 8502.281 8265.196 8132.543 8007.648 7798.714
2.00E-05 48187.4 27610.81 10069.62 9344.121 8775.558 8614.925 8477.829 8449.447
1.00E-05 72891.67 40775.5 11576.77 11030.2 10301.05 9923.156 9914.442 9395.005
9.00E-06 81536.02 42728.86 12022.63 10876.49 10724.93 10215.41 9880.04 9739.638
8.00E-06 93853.09 46064.73 12285.42 11450.79 10707.4 10322.03 10129.22 9871.508
7.00E-06 94527.65 48442.24 12712.2 11625.36 11041.49 10529.21 10374.45 10149.15
6.00E-06 110474.1 55285.81 13539.18 12548.41 11418.64 11134.32 10861.2 10670.05
5.00E-06 128849.4 61259.86 14676.89 13085.27 12154.89 11385.09 10972.15 11108.62
4.00E-06 143632.9 71999.38 16312.89 13836.21 12859.35 11706.18 11755.07 11674.21
3.00E-06 182685.4 85537.3 17369.36 15287.86 14029.04 13197.88 12459.49 12577.96
2.00E-06 237288.8 99590.29 19856.49 18317.22 16142.4 15584.37 14730.11 14204.76
1.00E-06 371207.2 154276.9 25031.58 23007.12 21405.36 19824.38 19442.86 18319.38
3 2 1 0.9 0.8 0.7 0.6 0.5
δ 平均准确率p-ave 平均准确率p-ave 平均准确率p-ave 平均准确率p-ave 平均准确率p-ave 平均准确率p-ave 平均准确率p-ave 平均准确率p-ave
0.5 0.50117 0.500838 0.512147 0.498808 0.504803 0.504618 0.518189 0.521024
0.4 0.53679 0.539922 0.593537 0.590584 0.630564 0.659161 0.685166 0.691084
0.3 0.536676 0.540578 0.584939 0.619687 0.621766 0.676239 0.687345 0.708849
0.2 0.536714 0.539406 0.582454 0.599857 0.631298 0.659746 0.692032 0.69605
0.1 0.538731 0.538311 0.582515 0.59895 0.603564 0.6542 0.662768 0.709436
0.01 0.536693 0.53799 0.559381 0.585595 0.605363 0.621987 0.65526 0.687741
0.001 0.536648 0.537292 0.561937 0.565211 0.57477 0.609333 0.647113 0.672279
1.00E-04 0.536705 0.536866 0.562451 0.561978 0.571501 0.601998 0.630296 0.673151
9.00E-05 0.537353 0.536629 0.557014 0.557273 0.577151 0.602621 0.62533 0.658417
8.00E-05 0.536643 0.536631 0.555192 0.563363 0.577419 0.605443 0.6348 0.676113
7.00E-05 0.536645 0.536638 0.55998 0.560863 0.577429 0.606914 0.632482 0.690949
6.00E-05 0.536733 0.536643 0.556085 0.571389 0.589275 0.598653 0.639778 0.659563
5.00E-05 0.536643 0.539694 0.561702 0.554448 0.581974 0.594683 0.639987 0.673113
4.00E-05 0.536643 0.536669 0.544897 0.556209 0.576614 0.590375 0.626684 0.684232
3.00E-05 0.536643 0.537092 0.55332 0.559535 0.571277 0.597049 0.628442 0.658154
2.00E-05 0.536643 0.536648 0.553747 0.563508 0.579094 0.599584 0.619868 0.639158
1.00E-05 0.536643 0.536643 0.550678 0.565499 0.570025 0.606009 0.622797 0.66669
9.00E-06 0.536643 0.536767 0.553584 0.564527 0.578082 0.597296 0.613186 0.653036
8.00E-06 0.538387 0.536662 0.555083 0.56721 0.580299 0.599796 0.622379 0.645357
7.00E-06 0.536643 0.537049 0.564085 0.565687 0.571676 0.597942 0.623954 0.678085
6.00E-06 0.536643 0.537734 0.554037 0.564259 0.58368 0.609672 0.62666 0.662663
5.00E-06 0.536643 0.536681 0.547237 0.560393 0.563764 0.588662 0.630676 0.658025
4.00E-06 0.536643 0.537097 0.558005 0.559276 0.572795 0.601542 0.64171 0.660085
3.00E-06 0.536643 0.536745 0.551927 0.563045 0.585077 0.596362 0.60992 0.668237
2.00E-06 0.536643 0.536641 0.545453 0.56883 0.57826 0.585823 0.613061 0.656856
1.00E-06 0.536643 0.536645 0.55245 0.556468 0.575518 0.57884 0.614313 0.667044
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