输入对5层网络迭代次数的影响
制作一个5层网络和一个3层网络
图中左边的5层网络很显然可以看作是由两个右边的3层网络组合而成,所以左边的网络的迭代次数和右边的网络的迭代次数有什么关系?
在《测量一组5层网络的迭代次数》测量了输入固定为0.1时5层网络和3层网络收敛迭代次数之间的关系。本文测量当输入是0-1之间的随机数时对迭代次数的影响。
将左边的5层网络写成
(r)-3*6*3*6*3-(3*k),k∈{0,1}
意思是向网络输入0到1的随机数r,输出是1,0,0。
右边的3层网络写成
(r)-3*6*3-(3*k),k∈{0,1}
其中r的初始化方法是
Random rand1 =new Random();
int ti1=rand1.nextInt(98)+1;
r=((double)ti1/100);
用这种办法制作了三组网络
(r)-2-10-2-10-2-(2*k),k∈{0,1}
(r)-2-10-2-(2*k),k∈{0,1}
(r)-3-10-3-10-3-(3*k),k∈{0,1}
(r)-3-10-3-(3*k),k∈{0,1}
(r)-4-10-4-10-4-(4*k),k∈{0,1}
(r)-4-10-4-(4*k),k∈{0,1}
用来比较
(r)-x-10-x-10-x-(x*k),k∈{0,1}
(r)-x-10-x-(x*k),k∈{0,1}
这两类网络迭代次数的关系。
具体的实验过程
网络的收敛标准是
if (Math.abs(f4[0]-y[0])< δ && Math.abs(f4[1]-y[1])< δ && Math.abs(f4[2]-y[2])< δ )
因为对应每个收敛标准δ都有一个特征的迭代次数n与之对应因此可以用迭代次数曲线n(δ)来评价网络性能。
具体进样顺序 |
|||
δ=0.5 |
迭代次数 |
||
r |
1 |
判断是否达到收敛 |
|
梯度下降 |
|||
r |
2 |
判断是否达到收敛 |
|
梯度下降 |
|||
…… |
|||
每当网路达到收敛标准记录迭代次数 |
|||
将这一过程重复199次 |
|||
δ=0.4 |
|||
…… |
|||
δ=1e-7 |
本文尝试了δ从1e-7到0.5的共35个值,当网络满足条件收敛是记录迭代次数
首先观察5层网络迭代次数的变化
r-2-10-2-10-2 |
r-3-10-3-10-3 |
r-4-10-4-10-4 |
0.1-2-10-2-10-2 |
0.1-3-10-3-10-3 |
0.1-4-10-4-10-4 |
|||||||||||
δ |
迭代次数n |
迭代次数n |
迭代次数n |
r2/r2 |
r3/r2 |
r4/r2 |
δ |
迭代次数n |
迭代次数n |
迭代次数n |
0.1-2/0.1-2 |
0.1-3/0.12 |
0.1-4/0.1-2 |
r-2/0.1-2 |
r-3/0.1-3 |
r-4/0.1-4 |
0.5 |
1.904522613 |
1.869346734 |
3 |
1 |
0.981530343 |
1.575197889 |
0.5 |
1.934673367 |
1.959798995 |
3 |
1 |
1.012987013 |
1.550649351 |
0.984415584 |
0.953846154 |
1 |
0.4 |
5.341708543 |
5.331658291 |
7 |
1 |
0.998118532 |
1.310442145 |
0.4 |
5.371859296 |
5.341708543 |
7 |
1 |
0.994387278 |
1.303086997 |
0.994387278 |
0.998118532 |
1 |
0.3 |
10.34673367 |
10.22613065 |
12 |
1 |
0.988343856 |
1.159786304 |
0.3 |
10.27135678 |
10.18090452 |
11 |
1 |
0.991193738 |
1.070939335 |
1.007338552 |
1.004442251 |
1.090909091 |
0.2 |
18.70854271 |
18.30653266 |
20 |
1 |
0.978511953 |
1.069030352 |
0.2 |
18.66331658 |
18.52763819 |
20 |
1 |
0.99273021 |
1.071620894 |
1.002423263 |
0.988066178 |
1 |
0.1 |
40.25125628 |
38.37688442 |
38 |
1 |
0.953433208 |
0.944069913 |
0.1 |
40.10050251 |
38.36683417 |
39 |
1 |
0.956766917 |
0.972556391 |
1.003759399 |
1.000261952 |
0.974358974 |
0.01 |
325.8040201 |
268.6934673 |
235 |
1 |
0.824708876 |
0.721292512 |
0.01 |
325.6130653 |
268.5025126 |
237 |
1 |
0.824606078 |
0.727857771 |
1.000586447 |
1.000711184 |
0.991561181 |
0.001 |
2279.577889 |
1680.497487 |
1398 |
1 |
0.737196783 |
0.613271434 |
0.001 |
2280.115578 |
1684.38191 |
1406 |
1 |
0.738726548 |
0.616635408 |
0.999764183 |
0.997693859 |
0.9943101 |
1.00E-04 |
15912.24623 |
12004.45729 |
10590 |
1 |
0.75441626 |
0.665525146 |
1.00E-04 |
15835.47739 |
12056.8191 |
10609 |
1 |
0.76138021 |
0.669951384 |
1.004847902 |
0.995657079 |
0.998209068 |
9.00E-05 |
17423.96482 |
13189.36181 |
11673 |
1 |
0.756966738 |
0.669939369 |
9.00E-05 |
17342.0603 |
13253.43719 |
11717 |
1 |
0.764236599 |
0.675640598 |
1.004722883 |
0.995165376 |
0.996244773 |
8.00E-05 |
19282.14573 |
14663.1608 |
13043 |
1 |
0.760452753 |
0.676428868 |
8.00E-05 |
19208.1206 |
14739.47739 |
13077 |
1 |
0.767356562 |
0.680805805 |
1.003853846 |
0.9948223 |
0.997400015 |
7.00E-05 |
21687.30653 |
16544.53266 |
14783 |
1 |
0.762867101 |
0.681642968 |
7.00E-05 |
21562.95477 |
16633.47236 |
14844 |
1 |
0.771391145 |
0.688402872 |
1.005766917 |
0.994652969 |
0.995890596 |
6.00E-05 |
24788.30151 |
19034.80402 |
17128 |
1 |
0.767894646 |
0.690971102 |
6.00E-05 |
24676.82412 |
19138.08543 |
17197 |
1 |
0.775548966 |
0.696888705 |
1.004517493 |
0.994603357 |
0.995987672 |
5.00E-05 |
29117.86935 |
22492.8392 |
20378 |
1 |
0.772475449 |
0.699845162 |
5.00E-05 |
28974.85427 |
22613.09045 |
20480 |
1 |
0.780438453 |
0.706819776 |
1.004935834 |
0.994682228 |
0.995019531 |
4.00E-05 |
35437.03015 |
27629.55779 |
25185 |
1 |
0.779680399 |
0.710697254 |
4.00E-05 |
35289.97487 |
27783.49749 |
25306 |
1 |
0.787291507 |
0.717087504 |
1.004167055 |
0.994459312 |
0.995218525 |
3.00E-05 |
45809.18593 |
36073.57286 |
33209 |
1 |
0.787474654 |
0.724941937 |
3.00E-05 |
45565.71357 |
36295.21106 |
33318 |
1 |
0.796546531 |
0.731207686 |
1.005343324 |
0.993893459 |
0.996728495 |
2.00E-05 |
65988.56784 |
52783.36181 |
49229 |
1 |
0.799886458 |
0.746023161 |
2.00E-05 |
65556.1005 |
53122.43719 |
49468 |
1 |
0.810335526 |
0.754590337 |
1.006596905 |
0.993617097 |
0.995168594 |
1.00E-05 |
124218.0452 |
102095.9497 |
97192 |
1 |
0.821909164 |
0.782430603 |
1.00E-05 |
123256.9196 |
102725.196 |
97258 |
1 |
0.833423359 |
0.789067261 |
1.007797742 |
0.99387447 |
0.999321393 |
9.00E-06 |
136835.3719 |
112952.5578 |
107913 |
1 |
0.825463155 |
0.788633805 |
9.00E-06 |
135849.9447 |
113718.9146 |
108216 |
1 |
0.837092093 |
0.796584792 |
1.007253792 |
0.993260956 |
0.997200044 |
8.00E-06 |
152610.0352 |
126633.8995 |
121242 |
1 |
0.829787499 |
0.794456274 |
8.00E-06 |
151453.6382 |
127307.3518 |
121518 |
1 |
0.840569783 |
0.802344542 |
1.00763532 |
0.994710028 |
0.997728732 |
7.00E-06 |
172631.2513 |
143969.5829 |
138604 |
1 |
0.833971728 |
0.802890548 |
7.00E-06 |
171409.3065 |
144868.4121 |
139247 |
1 |
0.845160715 |
0.812365459 |
1.007128812 |
0.993795547 |
0.995382306 |
6.00E-06 |
199241.1256 |
167092.598 |
161638 |
1 |
0.838645122 |
0.811268254 |
6.00E-06 |
197814.8894 |
168071.0653 |
161784 |
1 |
0.849638093 |
0.817855524 |
1.007209954 |
0.994178253 |
0.999097562 |
5.00E-06 |
236247.5427 |
199373.392 |
193006 |
1 |
0.843917315 |
0.816965111 |
5.00E-06 |
234464.0503 |
200668.6884 |
193666 |
1 |
0.855861221 |
0.825994432 |
1.007606677 |
0.9935451 |
0.996592071 |
4.00E-06 |
291092.995 |
247769.0754 |
240321 |
1 |
0.851168113 |
0.825581529 |
4.00E-06 |
288965.3467 |
249317.9447 |
241691 |
1 |
0.862795306 |
0.836401329 |
1.007362988 |
0.993787574 |
0.994331605 |
3.00E-06 |
381793.9749 |
328359.2915 |
320678 |
1 |
0.860043147 |
0.839924203 |
3.00E-06 |
378816.8543 |
330180.2663 |
322513 |
1 |
0.871609229 |
0.851369194 |
1.007858997 |
0.994484907 |
0.994310307 |
2.00E-06 |
560602.8794 |
488816 |
481138 |
1 |
0.871947002 |
0.858251032 |
2.00E-06 |
556550.6985 |
491437.4623 |
482398 |
1 |
0.883005742 |
0.866763803 |
1.007280884 |
0.994665726 |
0.997388049 |
1.00E-06 |
1088196.508 |
969244.1558 |
962243 |
1 |
0.890688537 |
0.884254813 |
1.00E-06 |
1080983.186 |
974155.5427 |
964074 |
1 |
0.901175481 |
0.89184921 |
1.006672927 |
0.994958313 |
0.998100768 |
9.00E-07 |
1203908.025 |
1075569.915 |
1068340 |
1 |
0.893398742 |
0.88739337 |
9.00E-07 |
1208133.623 |
1080634.106 |
1072751 |
1 |
0.894465716 |
0.887940688 |
0.996502375 |
0.995313686 |
0.995888142 |
8.00E-07 |
1348428.719 |
1209469.04 |
1202423 |
1 |
0.89694696 |
0.891721589 |
8.00E-07 |
1353904.367 |
1215191.643 |
1206559 |
1 |
0.897546143 |
0.891170033 |
0.995955661 |
0.995290781 |
0.99657207 |
7.00E-07 |
1534027.111 |
1380826.05 |
1375220 |
1 |
0.900131451 |
0.896476985 |
7.00E-07 |
1539773.07 |
1387027.477 |
1381749 |
1 |
0.900799932 |
0.897371845 |
0.996268308 |
0.99552898 |
0.995274829 |
6.00E-07 |
1780354.844 |
1610095.312 |
1601415 |
1 |
0.904367642 |
0.899492034 |
6.00E-07 |
1786506.508 |
1616167.709 |
1606431 |
1 |
0.904652573 |
0.899202434 |
0.996556596 |
0.996242719 |
0.99687755 |
5.00E-07 |
2125035.533 |
1929071.94 |
1927719 |
1 |
0.907783381 |
0.907146714 |
5.00E-07 |
2133555.362 |
1937818.854 |
1931582 |
1 |
0.90825806 |
0.905334839 |
0.996006746 |
0.995486207 |
0.998000085 |
4.00E-07 |
2637184.055 |
2409909.352 |
2410357 |
1 |
0.913819173 |
0.913988918 |
4.00E-07 |
2646545.613 |
2418741.794 |
2414921 |
1 |
0.913924091 |
0.9124804 |
0.996462726 |
0.996348332 |
0.998110083 |
3.00E-07 |
3488346.553 |
3209632.161 |
3220585 |
1 |
0.920101289 |
0.923241126 |
3.00E-07 |
3500985.513 |
3222108.256 |
3226161 |
1 |
0.920343213 |
0.921500814 |
0.996389885 |
0.996127971 |
0.99827163 |
2.00E-07 |
5184203.387 |
4811423.382 |
4829216 |
1 |
0.928093098 |
0.931525181 |
2.00E-07 |
5199169.422 |
4828569.704 |
4839273 |
1 |
0.928719438 |
0.930778093 |
0.997121457 |
0.996448985 |
0.997921795 |
1.00E-07 |
1.02E+07 |
9627046.156 |
9688361 |
1 |
0.943828055 |
0.949839314 |
1.00E-07 |
1.03E+07 |
9653872.432 |
9700878 |
1 |
0.937269168 |
0.941832816 |
0.990291262 |
0.99722119 |
0.998709704 |
很明显当δ<0.1时
r-2-10-2-10-2 > r-3-10-3-10-3 > r-4-10-4-10-4
也就是输入层节点数越少迭代次数越多。
与当输入固定为0.1的数据比较
当δ<0.01时
这组数据同样满足输入层节点数越少迭代次数越多的规律。
再比较随机输入与固定输入迭代次数之间的比例关系(r)-x-10-x-10-x-(x*k),k∈{0,1} / 0.1-x-10-x-10-x-(x*k),k∈{0,1}
从图中明显的观察到随机输入网络(r)-x-10-x-10-x-(x*k),k∈{0,1}的迭代次数是要稍小于固定输入网络0.1-x-10-x-10-x-(x*k),k∈{0,1}的迭代次数。随机输入网络的迭代次数大概要比固定输入0.1的网络的迭代次数要少0.5%。
然后再比较3层网络的数据
r-2-10-2 |
r-3-10-3 |
r-4-10-4 |
0.1-2-10-2 |
0.1-3-10-3 |
0.1-4-10-4 |
|||||||||||
δ |
迭代次数n |
迭代次数n |
迭代次数n |
r2/r2 |
r3/r2 |
r4/r2 |
δ |
迭代次数n |
迭代次数n |
迭代次数n |
0.1-2/0.1-2 |
0.1-3/0.12 |
0.1-4/0.1-2 |
r-2/0.1-2 |
r-3/0.1-3 |
r-4/0.1-4 |
0.5 |
1.869346734 |
2.040201005 |
3 |
1 |
1.091397849 |
1.604838709 |
0.5 |
1.834170854 |
2.150753769 |
4 |
1 |
1.17260274 |
2.180821918 |
1.019178083 |
0.948598131 |
0.75 |
0.4 |
5.316582915 |
5.577889447 |
7 |
1 |
1.049149338 |
1.316635161 |
0.4 |
5.467336683 |
5.668341709 |
7 |
1 |
1.036764706 |
1.280330882 |
0.972426471 |
0.984042553 |
1 |
0.3 |
10.34673367 |
10.4321608 |
12 |
1 |
1.008256435 |
1.159786304 |
0.3 |
10.3718593 |
10.52763819 |
12 |
1 |
1.015019379 |
1.156976744 |
0.997577519 |
0.990930787 |
1 |
0.2 |
18.5678392 |
18.48241206 |
20 |
1 |
0.995399188 |
1.077131258 |
0.2 |
18.98492462 |
19.09547739 |
21 |
1 |
1.005823187 |
1.106140815 |
0.978030704 |
0.967894737 |
0.952380952 |
0.1 |
39.7839196 |
38.00502513 |
42 |
1 |
0.955286093 |
1.055702918 |
0.1 |
41.81407035 |
41.92964824 |
43 |
1 |
1.002764091 |
1.028361976 |
0.951448143 |
0.906399808 |
0.976744186 |
0.01 |
326.8140704 |
281.0904523 |
347 |
1 |
0.860092872 |
1.061765791 |
0.01 |
405.9145729 |
400.9246231 |
397 |
1 |
0.987706897 |
0.978038303 |
0.805130173 |
0.701105485 |
0.874055416 |
0.001 |
2555.768844 |
1994.175879 |
2942 |
1 |
0.78026457 |
1.151121318 |
0.001 |
3909.160804 |
3785.150754 |
3660 |
1 |
0.968277066 |
0.936262329 |
0.653789642 |
0.526841864 |
0.803825137 |
1.00E-04 |
21902.38693 |
16359.0402 |
23884 |
1 |
0.74690673 |
1.090474754 |
1.00E-04 |
38025.66332 |
35887.74372 |
33662 |
1 |
0.943776928 |
0.885244255 |
0.575989609 |
0.455839195 |
0.709524092 |
9.00E-05 |
23880.13568 |
18649.9598 |
37315 |
1 |
0.780982154 |
1.562595812 |
9.00E-05 |
42192.34171 |
39777.31156 |
37338 |
1 |
0.94276141 |
0.884947327 |
0.565982705 |
0.468859233 |
0.999384006 |
8.00E-05 |
27373.11558 |
20427.95477 |
26333 |
1 |
0.74627803 |
0.962002295 |
8.00E-05 |
47395.70352 |
44621.80905 |
41802 |
1 |
0.941473715 |
0.881978679 |
0.57754424 |
0.45780203 |
0.629945936 |
7.00E-05 |
30471.34171 |
23575.8593 |
46405 |
1 |
0.77370598 |
1.522906357 |
7.00E-05 |
54052.65327 |
50836.96482 |
47443 |
1 |
0.940508222 |
0.877718246 |
0.563734431 |
0.463754266 |
0.978121114 |
6.00E-05 |
33747.86935 |
26453.01508 |
43844 |
1 |
0.783842524 |
1.299163498 |
6.00E-05 |
62950.38191 |
59079.18593 |
55259 |
1 |
0.938504011 |
0.877818344 |
0.536102694 |
0.44775524 |
0.793427315 |
5.00E-05 |
41400.74372 |
31641.95477 |
57098 |
1 |
0.764284695 |
1.379153968 |
5.00E-05 |
75340.25628 |
70575.01005 |
65584 |
1 |
0.936750332 |
0.870504074 |
0.549516895 |
0.448345027 |
0.870608685 |
4.00E-05 |
50904.86935 |
38461.94975 |
63706 |
1 |
0.755565238 |
1.251471634 |
4.00E-05 |
93917.48744 |
87725.11558 |
81242 |
1 |
0.934065827 |
0.865035918 |
0.542016942 |
0.438437151 |
0.784151055 |
3.00E-05 |
68669.09045 |
51233.01508 |
102785 |
1 |
0.746085535 |
1.496816098 |
3.00E-05 |
124764.8342 |
116155.4975 |
107253 |
1 |
0.930995486 |
0.859641266 |
0.550388183 |
0.441072667 |
0.958341492 |
2.00E-05 |
98491.42211 |
74906.1206 |
131495 |
1 |
0.760534461 |
1.335090886 |
2.00E-05 |
186176.5779 |
172366.9598 |
158480 |
1 |
0.925825159 |
0.851234896 |
0.529021552 |
0.434573544 |
0.829726148 |
1.00E-05 |
193272.4774 |
144249.7286 |
203355 |
1 |
0.746354217 |
1.0521674 |
1.00E-05 |
368710.8643 |
338333.7889 |
308464 |
1 |
0.917612747 |
0.836601331 |
0.524184384 |
0.426353304 |
0.65925035 |
9.00E-06 |
206907.4774 |
158850.8543 |
296829 |
1 |
0.767738587 |
1.434597743 |
9.00E-06 |
408984.0804 |
375023.1005 |
341247 |
1 |
0.916962587 |
0.83437722 |
0.505905944 |
0.423576185 |
0.869836218 |
8.00E-06 |
237203.201 |
180718.5427 |
363607 |
1 |
0.761872276 |
1.532892467 |
8.00E-06 |
459388.5276 |
420561.8643 |
382394 |
1 |
0.915481861 |
0.832397801 |
0.516345504 |
0.429707394 |
0.950870045 |
7.00E-06 |
269616.4372 |
202380.0402 |
421455 |
1 |
0.75062204 |
1.563165081 |
7.00E-06 |
524038.9497 |
478899.1457 |
435268 |
1 |
0.913861739 |
0.830602382 |
0.514496942 |
0.422594281 |
0.968265528 |
6.00E-06 |
308451.3015 |
240200 |
405253 |
1 |
0.778729086 |
1.313831383 |
6.00E-06 |
609813.0704 |
556314.598 |
504206 |
1 |
0.912270702 |
0.826820586 |
0.505812874 |
0.431770083 |
0.803744898 |
5.00E-06 |
366383.0905 |
279138.8844 |
438198 |
1 |
0.761877094 |
1.196010437 |
5.00E-06 |
729919.3065 |
664199.0553 |
600920 |
1 |
0.909962306 |
0.823269086 |
0.50195013 |
0.420263899 |
0.729211875 |
4.00E-06 |
441795.6482 |
344849.6935 |
733902 |
1 |
0.780563808 |
1.661179785 |
4.00E-06 |
909130.6181 |
825530.8241 |
744853 |
1 |
0.908044243 |
0.819302513 |
0.485953987 |
0.417730851 |
0.98529777 |
3.00E-06 |
587062.9196 |
459529.0302 |
747879 |
1 |
0.78275942 |
1.273933296 |
3.00E-06 |
1207124.558 |
1091742.894 |
980381 |
1 |
0.904416107 |
0.812162252 |
0.486331684 |
0.420913232 |
0.762845261 |
2.00E-06 |
881343.3819 |
672539.7437 |
1245116 |
1 |
0.763084806 |
1.412747886 |
2.00E-06 |
1799195.739 |
1619069.065 |
1449669 |
1 |
0.899884893 |
0.805731677 |
0.489854085 |
0.415386692 |
0.858896755 |
1.00E-06 |
1691667.427 |
1292568.874 |
2046819 |
1 |
0.764079779 |
1.209941722 |
1.00E-06 |
3559300.412 |
3175825.116 |
2818734 |
1 |
0.892261048 |
0.791934839 |
0.475280879 |
0.407002535 |
0.726148335 |
9.00E-07 |
1861192.327 |
1469246.196 |
2010564 |
1 |
0.789411269 |
1.080255904 |
9.00E-07 |
3947484.774 |
3517441.141 |
3123123 |
1 |
0.891058824 |
0.791167839 |
0.471488159 |
0.417703136 |
0.643767152 |
8.00E-07 |
2080246.372 |
1621744.271 |
2166817 |
1 |
0.779592404 |
1.041615565 |
8.00E-07 |
4433661.618 |
3943425.156 |
3493458 |
1 |
0.889428535 |
0.787939699 |
0.469193762 |
0.411252707 |
0.620249907 |
7.00E-07 |
2464329.97 |
1797949.739 |
3092601 |
1 |
0.72958969 |
1.254945984 |
7.00E-07 |
5056311.834 |
4490016.492 |
3972648 |
1 |
0.888002291 |
0.785680973 |
0.487376976 |
0.40043277 |
0.778473451 |
6.00E-07 |
2925796.92 |
2091886.859 |
2729326 |
1 |
0.714980197 |
0.93284875 |
6.00E-07 |
5882920.477 |
5216202.241 |
4605197 |
1 |
0.886668834 |
0.782807964 |
0.497337493 |
0.401036379 |
0.59266216 |
5.00E-07 |
3289760.563 |
2467525.844 |
3698517 |
1 |
0.750062443 |
1.124251121 |
5.00E-07 |
7040336.97 |
6225307.176 |
5492530 |
1 |
0.884234264 |
0.780151578 |
0.467273168 |
0.396370135 |
0.673372198 |
4.00E-07 |
4007427.271 |
3216941.045 |
5727957 |
1 |
0.802744711 |
1.429335235 |
4.00E-07 |
8766715.804 |
7731842.281 |
6800941 |
1 |
0.881954252 |
0.775768389 |
0.457118419 |
0.416063976 |
0.842230068 |
3.00E-07 |
5245088.296 |
4254122.518 |
6026219 |
1 |
0.811067856 |
1.14892613 |
3.00E-07 |
1.16E+07 |
1.02E+07 |
8973350 |
1 |
0.879310345 |
0.773564655 |
0.452162784 |
0.417070835 |
0.671568478 |
2.00E-07 |
7786895.241 |
5986582.417 |
1.07E+07 |
1 |
0.768802229 |
1.374103499 |
2.00E-07 |
1.73E+07 |
1.52E+07 |
1.32E+07 |
1 |
0.878612717 |
0.76300578 |
0.450109552 |
0.393854106 |
0.810606061 |
1.00E-07 |
1.58E+07 |
1.23E+07 |
2.71E+07 |
1 |
0.778481013 |
1.715189873 |
1.00E-07 |
3.42E+07 |
2.97E+07 |
2.58E+07 |
1 |
0.868421053 |
0.754385965 |
0.461988304 |
0.414141414 |
1.050387597 |
3层随机输入数据比较
r-2-10-2>r-3-10-3但r-4-10-4的数据变的不规则
3层固定输入的数据
这个明显的0.1-2-10-2>0.1-3-10-3>0.1-4-10-4,输入节点数越少迭代次数越多。
比较随机输入和固定输入的比值
若不考虑r-4和0.1-4的值
r-2/0.1-2 > r-3/0.1-3 的值但都接近0.5.
再比较3层网络和5层网络的迭代次数的比值
r-2-10-2 |
r-3-10-3 |
r-4-10-4 |
0.1-2-10-2 |
0.1-3-10-3 |
0.1-4-10-4 |
||
δ |
r-2-10-2-10-2 |
r-3-10-3-10-3 |
r-4-10-4-10-4 |
δ |
0.1-2-10-2-10-2 |
0.1-3-10-3-10-3 |
0.1-4-10-4-10-4 |
0.5 |
0.981530343 |
1.091397849 |
1 |
0.5 |
0.948051948 |
1.097435898 |
1.333333333 |
0.4 |
0.995296331 |
1.046182846 |
1 |
0.4 |
1.01777362 |
1.061147695 |
1 |
0.3 |
1 |
1.02014742 |
1 |
0.3 |
1.009784737 |
1.034057256 |
1.090909091 |
0.2 |
0.992479184 |
1.009607467 |
1 |
0.2 |
1.017232095 |
1.030648224 |
1.05 |
0.1 |
0.988389513 |
0.990310331 |
1.105263158 |
0.1 |
1.04273183 |
1.092861821 |
1.102564103 |
0.01 |
1.003100178 |
1.046138022 |
1.476595745 |
0.01 |
1.246616356 |
1.493187603 |
1.675105485 |
0.001 |
1.121158815 |
1.186658055 |
2.104434907 |
0.001 |
1.714457303 |
2.247204587 |
2.603129445 |
1.00E-04 |
1.376448467 |
1.36274717 |
2.255335222 |
1.00E-04 |
2.401295672 |
2.976551562 |
3.172966349 |
9.00E-05 |
1.37053397 |
1.414015331 |
3.196693224 |
9.00E-05 |
2.432948622 |
3.001282685 |
3.186651873 |
8.00E-05 |
1.419609413 |
1.393148111 |
2.018937361 |
8.00E-05 |
2.467482608 |
3.027367109 |
3.196604726 |
7.00E-05 |
1.405031172 |
1.424993971 |
3.139078671 |
7.00E-05 |
2.506736848 |
3.056305005 |
3.196106171 |
6.00E-05 |
1.361443394 |
1.389718279 |
2.559785147 |
6.00E-05 |
2.55099204 |
3.086995622 |
3.213293016 |
5.00E-05 |
1.421832869 |
1.406756812 |
2.801943272 |
5.00E-05 |
2.600194485 |
3.12098031 |
3.20234375 |
4.00E-05 |
1.436488022 |
1.392058101 |
2.529521541 |
4.00E-05 |
2.661307858 |
3.157454011 |
3.210384889 |
3.00E-05 |
1.499024465 |
1.420236783 |
3.095094703 |
3.00E-05 |
2.738129713 |
3.200298169 |
3.219070773 |
2.00E-05 |
1.492552806 |
1.419123717 |
2.67108818 |
2.00E-05 |
2.839958089 |
3.244711066 |
3.203687232 |
1.00E-05 |
1.555913049 |
1.412883949 |
2.092301836 |
1.00E-05 |
2.991400933 |
3.293581342 |
3.171605421 |
9.00E-06 |
1.512090584 |
1.406350218 |
2.750632454 |
9.00E-06 |
3.010557577 |
3.297807597 |
3.153387669 |
8.00E-06 |
1.554309326 |
1.42709451 |
2.999018492 |
8.00E-06 |
3.033195723 |
3.303515927 |
3.146809526 |
7.00E-06 |
1.561805497 |
1.405713875 |
3.040713111 |
7.00E-06 |
3.057237442 |
3.305752709 |
3.125869857 |
6.00E-06 |
1.548130691 |
1.437526275 |
2.507164157 |
6.00E-06 |
3.082746057 |
3.309996263 |
3.1165381 |
5.00E-06 |
1.550844027 |
1.400080932 |
2.270385377 |
5.00E-06 |
3.113139543 |
3.309928722 |
3.102867824 |
4.00E-06 |
1.517713088 |
1.391818947 |
3.053840488 |
4.00E-06 |
3.146157934 |
3.311156865 |
3.081840035 |
3.00E-06 |
1.537643227 |
1.39947016 |
2.332180567 |
3.00E-06 |
3.186565076 |
3.306505583 |
3.03981855 |
2.00E-06 |
1.572134954 |
1.375854603 |
2.587856291 |
2.00E-06 |
3.232761622 |
3.294557679 |
3.005130618 |
1.00E-06 |
1.55456061 |
1.333584388 |
2.127133167 |
1.00E-06 |
3.29265104 |
3.260080117 |
2.923773486 |
9.00E-07 |
1.545958901 |
1.366016449 |
1.881951439 |
9.00E-07 |
3.267423983 |
3.254978833 |
2.911321453 |
8.00E-07 |
1.542718827 |
1.34087291 |
1.80204221 |
8.00E-07 |
3.274722887 |
3.245105559 |
2.895389285 |
7.00E-07 |
1.606444862 |
1.30208272 |
2.248804555 |
7.00E-07 |
3.283803265 |
3.237150357 |
2.875086575 |
6.00E-07 |
1.643378526 |
1.299231694 |
1.704321491 |
6.00E-07 |
3.292974557 |
3.227512969 |
2.866725679 |
5.00E-07 |
1.548096732 |
1.279125881 |
1.918597576 |
5.00E-07 |
3.299814523 |
3.212533082 |
2.843539648 |
4.00E-07 |
1.519585735 |
1.334880518 |
2.376393621 |
4.00E-07 |
3.312512643 |
3.196638145 |
2.816216762 |
3.00E-07 |
1.503602987 |
1.325423695 |
1.871156638 |
3.00E-07 |
3.313352757 |
3.165629206 |
2.781432793 |
2.00E-07 |
1.502042775 |
1.244243531 |
2.215680558 |
2.00E-07 |
3.32745456 |
3.147930118 |
2.727682443 |
1.00E-07 |
1.549019608 |
1.277650465 |
2.79717075 |
1.00E-07 |
3.32038835 |
3.07648565 |
2.659553084 |
随机输入3层网络的迭代次数是对应5层网络的迭代次数的大约1.5倍左右
固定输入3层网络的迭代次数是对应5层网络的迭代次数的3倍左右。
这组实验表明3层网络随机输入的迭代次数比固定输入的迭代次数要小的多,甚至小于后者的50%。
而5层网络的随机输入的迭代次数只比固定输入的迭代次数略小,二者相差甚至小于1%,也就是5层网络对输入数据并不敏感。
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)ti1/1000); |
dr-2-10-2-10-2
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
0.527608315 0.472339838 1.904522613 0 0.5 0.412060302 82 0.001366667
0.619745309 0.379034134 5.341708543 0 0.4 0.391959799 78 0.0013
0.712427458 0.285357852 10.34673367 0 0.3 0.155778894 31 0.000516667
0.806808233 0.19310006 18.70854271 0 0.2 0.236180905 47 0.000783333
0.902011379 0.097776184 40.25125628 0 0.1 0.688442211 142 0.002366667
0.990027433 0.009968527 325.8040201 0 0.01 3.015075377 600 0.01
0.999000529 1.00E-03 2279.577889 0 0.001 15.2361809 3047 0.050783333
0.999900012 1.00E-04 15912.24623 0 1.00E-04 91.9798995 18304 0.305066667
0.999910011 9.00E-05 17423.96482 0 9.00E-05 98.45728643 19609 0.326816667
0.999920009 8.00E-05 19282.14573 0 8.00E-05 109.1306533 21733 0.362216667
0.999930008 7.00E-05 21687.30653 0 7.00E-05 122.4623116 24370 0.406166667
0.999940006 6.00E-05 24788.30151 0 6.00E-05 140.6532663 27990 0.4665
0.999950004 5.00E-05 29117.86935 0 5.00E-05 164.2462312 32700 0.545
0.999960004 4.00E-05 35437.03015 0 4.00E-05 199.3969849 39696 0.6616
0.999970003 3.00E-05 45809.18593 0 3.00E-05 259.8492462 51720 0.862
0.999980002 2.00E-05 65988.56784 0 2.00E-05 375.7236181 74778 1.2463
0.999990001 1.00E-05 124218.0452 0 1.00E-05 703.4974874 140005 2.333416667
0.999991001 9.00E-06 136835.3719 0 9.00E-06 761.959799 151639 2.527316667
0.999992001 8.00E-06 152610.0352 0 8.00E-06 861.0150754 171358 2.855966667
0.999993001 7.00E-06 172631.2513 0 7.00E-06 972.6281407 193560 3.226
0.999994001 6.00E-06 199241.1256 0 6.00E-06 1125.437186 223962 3.7327
0.999995001 5.00E-06 236247.5427 0 5.00E-06 1336.170854 265906 4.431766667
0.999996001 4.00E-06 291092.995 0 4.00E-06 1650.854271 328528 5.475466667
0.999997 3.00E-06 381793.9749 0 3.00E-06 2128.020101 423493 7.058216667
0.999998 2.00E-06 560602.8794 0 2.00E-06 3168.80402 630608 10.51013333
0.999999 1.00E-06 1088196.508 0 1.00E-06 6009.703518 1195947 19.93245
0.9999991 9.00E-07 1203908.025 0 9.00E-07 6628.276382 1319028 21.9838
0.9999992 8.00E-07 1348428.719 0 8.00E-07 7429.336683 1478438 24.64063333
0.9999993 7.00E-07 1534027.111 0 7.00E-07 8488.236181 1689160 28.15266667
0.9999994 6.00E-07 1780354.844 0 6.00E-07 10088.17588 2007549 33.45915
0.9999995 5.00E-07 2125035.533 0 5.00E-07 11910.59799 2370210 39.5035
0.9999996 4.00E-07 2637184.055 0 4.00E-07 14739.1809 2933128 48.88546667
0.9999997 3.00E-07 3488346.553 0 3.00E-07 19689.76382 3918288 65.3048
0.9999998 2.00E-07 5184203.387 0 2.00E-07 29417.75377 5854135 97.56891667
0.9999999 1.00E-07 1.02E+07 0 1.00E-07 54512.9598 10848096 180.8016
607.63275
dr-3-10-3-10-3
f2[0] f2[1] f2[2] 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
0.526440336 0.472256796 0.472675861 1.869346734 0 0.5 0.472361809 109 0.001816667
0.620190597 0.378660228 0.381783874 5.331658291 0 0.4 0.155778894 31 0.000516667
0.713801296 0.285566484 0.287647306 10.22613065 0 0.3 0.236180905 63 0.00105
0.806969107 0.192119984 0.194035873 18.30653266 0 0.2 0.236180905 47 0.000783333
0.902155298 0.097590075 0.097948187 38.37688442 0 0.1 0.472361809 94 0.001566667
0.99004019 0.009950875 0.009949246 268.6934673 0 0.01 2.834170854 564 0.0094
0.99900074 9.99E-04 9.99E-04 1680.497487 0 0.001 13.06030151 2600 0.043333333
0.999900025 1.00E-04 1.00E-04 12004.45729 0 1.00E-04 78.81909548 15700 0.261666667
0.999910028 9.00E-05 9.00E-05 13189.36181 0 9.00E-05 77.22613065 15383 0.256383333
0.999920025 8.00E-05 8.00E-05 14663.1608 0 8.00E-05 85.75376884 17067 0.28445
0.999930019 7.00E-05 7.00E-05 16544.53266 0 7.00E-05 97.30150754 19378 0.322966667
0.999940016 6.00E-05 6.00E-05 19034.80402 0 6.00E-05 113.3366834 22554 0.3759
0.999950014 5.00E-05 5.00E-05 22492.8392 0 5.00E-05 133.7688442 26620 0.443666667
0.999960011 4.00E-05 4.00E-05 27629.55779 0 4.00E-05 163.120603 32476 0.541266667
0.999970009 3.00E-05 3.00E-05 36073.57286 0 3.00E-05 211.8140704 42151 0.702516667
0.999980007 2.00E-05 2.00E-05 52783.36181 0 2.00E-05 309.5376884 61614 1.0269
0.999990003 1.00E-05 1.00E-05 102095.9497 0 1.00E-05 599.5125628 119303 1.988383333
0.999991002 9.00E-06 9.00E-06 112952.5578 0 9.00E-06 670.1407035 133358 2.222633333
0.999992002 8.00E-06 8.00E-06 126633.8995 0 8.00E-06 757.7085427 150784 2.513066667
0.999993002 7.00E-06 7.00E-06 143969.5829 0 7.00E-06 875.2311558 174172 2.902866667
0.999994002 6.00E-06 6.00E-06 167092.598 0 6.00E-06 1003.854271 199767 3.32945
0.999995002 5.00E-06 5.00E-06 199373.392 0 5.00E-06 1183.085427 235434 3.9239
0.999996001 4.00E-06 4.00E-06 247769.0754 0 4.00E-06 1512.356784 300976 5.016266667
0.999997001 3.00E-06 3.00E-06 328359.2915 0 3.00E-06 1945.427136 387140 6.452333333
0.999998001 2.00E-06 2.00E-06 488816 0 2.00E-06 2507.829146 499074 8.3179
0.999999 1.00E-06 1.00E-06 969244.1558 0 1.00E-06 5722.160804 1138710 18.9785
0.9999991 9.00E-07 9.00E-07 1075569.915 0 9.00E-07 6469.055276 1287342 21.4557
0.9999992 8.00E-07 8.00E-07 1209469.04 0 8.00E-07 7172.030151 1427234 23.78723333
0.9999993 7.00E-07 7.00E-07 1380826.05 0 7.00E-07 8186.537688 1629128 27.15213333
0.9999994 6.00E-07 6.00E-07 1610095.312 0 6.00E-07 9600.678392 1910545 31.84241667
0.9999995 5.00E-07 5.00E-07 1929071.94 0 5.00E-07 11807.44221 2349681 39.16135
0.9999996 4.00E-07 4.00E-07 2409909.352 0 4.00E-07 14563.61809 2898167 48.30278333
0.9999997 3.00E-07 3.00E-07 3209632.161 0 3.00E-07 20176.22111 4015080 66.918
0.9999998 2.00E-07 2.00E-07 4811423.382 0 2.00E-07 28304.31156 5632558 93.87596667
0.9999999 1.00E-07 1.00E-07 9627046.156 0 1.00E-07 56264.20603 11196577 186.6096167
599.0246833
dr-4-10-4-10-4
f2[0] f2[1] f2[2] f2[3] 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
0.526261475 0.470138296 0.473433824 0.470196578 3 0 0.5 0.72361809 144 0.0024
0.619481649 0.377210594 0.378727222 0.378469657 7 0 0.4 0.155778894 47 0.000783333
0.713542792 0.285969096 0.285711052 0.286628343 12 0 0.3 0.316582915 63 0.00105
0.808050416 0.191568156 0.192380965 0.19206912 20 0 0.2 0.391959799 78 0.0013
0.902437476 0.097327741 0.097530188 0.097340394 38 0 0.1 0.467336683 109 0.001816667
0.990051834 0.00994703 0.009956631 0.009950273 235 0 0.01 2.462311558 507 0.00845
0.999001067 9.99E-04 9.99E-04 9.99E-04 1398 0 0.001 12.98492462 2584 0.043066667
0.999900049 1.00E-04 9.99E-05 9.99E-05 10590 0 1.00E-04 74.13065327 14752 0.245866667
0.999910044 9.00E-05 9.00E-05 9.00E-05 11673 0 9.00E-05 77.95979899 15529 0.258816667
0.999920041 8.00E-05 8.00E-05 8.00E-05 13043 0 8.00E-05 88.72361809 17657 0.294283333
0.999930029 7.00E-05 7.00E-05 7.00E-05 14783 0 7.00E-05 100.798995 20075 0.334583333
0.999940023 6.00E-05 6.00E-05 6.00E-05 17128 0 6.00E-05 115.5527638 22995 0.38325
0.999950023 5.00E-05 5.00E-05 5.00E-05 20378 0 5.00E-05 141.6733668 28193 0.469883333
0.999960015 4.00E-05 4.00E-05 4.00E-05 25185 0 4.00E-05 175.1155779 34849 0.580816667
0.999970011 3.00E-05 3.00E-05 3.00E-05 33209 0 3.00E-05 230.638191 45897 0.76495
0.999980007 2.00E-05 2.00E-05 2.00E-05 49229 0 2.00E-05 339.8190955 67631 1.127183333
0.999990004 1.00E-05 9.99E-06 1.00E-05 97192 0 1.00E-05 671.6934673 133680 2.228
0.999991003 9.00E-06 9.00E-06 9.00E-06 107913 0 9.00E-06 740.879397 147437 2.457283333
0.999992003 8.00E-06 8.00E-06 8.00E-06 121242 0 8.00E-06 837.6030151 166685 2.778083333
0.999993002 7.00E-06 7.00E-06 7.00E-06 138604 0 7.00E-06 956.9949749 190442 3.174033333
0.999994002 6.00E-06 6.00E-06 6.00E-06 161638 0 6.00E-06 1119.080402 222697 3.711616667
0.999995002 5.00E-06 5.00E-06 5.00E-06 193006 0 5.00E-06 1340.954774 266862 4.4477
0.999996001 4.00E-06 4.00E-06 4.00E-06 240321 0 4.00E-06 1673.728643 333072 5.5512
0.999997001 3.00E-06 3.00E-06 3.00E-06 320678 0 3.00E-06 2218.623116 441506 7.358433333
0.999998 2.00E-06 2.00E-06 2.00E-06 481138 0 2.00E-06 3369.929648 670625 11.17708333
0.999999 1.00E-06 1.00E-06 1.00E-06 962243 0 1.00E-06 6656.326633 1324615 22.07691667
0.9999991 9.00E-07 9.00E-07 9.00E-07 1068340 0 9.00E-07 7402.738693 1473150 24.5525
0.9999992 8.00E-07 8.00E-07 8.00E-07 1202423 0 8.00E-07 8283.81407 1648481 27.47468333
0.9999993 7.00E-07 7.00E-07 7.00E-07 1375220 0 7.00E-07 9110.095477 1812943 30.21571667
0.9999994 6.00E-07 6.00E-07 6.00E-07 1601415 0 6.00E-07 10525.52261 2094580 34.90966667
0.9999995 5.00E-07 5.00E-07 5.00E-07 1927719 0 5.00E-07 12147.62312 2417392 40.28986667
0.9999996 4.00E-07 4.00E-07 4.00E-07 2410357 0 4.00E-07 15609.35678 3106310 51.77183333
0.9999997 3.00E-07 3.00E-07 3.00E-07 3220585 0 3.00E-07 20894.52261 4158010 69.30016667
0.9999998 2.00E-07 2.00E-07 2.00E-07 4829216 0 2.00E-07 31439.65829 6256492 104.2748667
0.9999999 1.00E-07 1.00E-07 1.00E-07 9688361 0 1.00E-07 64211.86432 12778161 212.96935
665.2375
dr-2-10-2
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
0.526584111 0.470703963 1.869346734 0 0.5 0.472361809 110 0.001833333
0.61933022 0.378788514 5.316582915 0 0.4 0.16080402 47 0.000783333
0.714022291 0.285632622 10.34673367 0 0.3 0.08040201 31 0.000516667
0.806512411 0.192506914 18.5678392 0 0.2 0.16080402 47 0.000783333
0.902097214 0.097758283 39.7839196 0 0.1 0.236180905 47 0.000783333
0.99003051 0.009968748 326.8140704 0 0.01 1.487437186 312 0.0052
0.999000471 1.00E-03 2555.768844 0 0.001 9.201005025 1831 0.030516667
0.999900011 1.00E-04 21902.38693 0 1.00E-04 62.85427136 12508 0.208466667
0.999910009 9.00E-05 23880.13568 0 9.00E-05 63.48743719 12634 0.210566667
0.999920007 8.00E-05 27373.11558 0 8.00E-05 73.70854271 14669 0.244483333
0.999930008 7.00E-05 30471.34171 0 7.00E-05 82.66834171 16466 0.274433333
0.999940006 6.00E-05 33747.86935 0 6.00E-05 89.8241206 17875 0.297916667
0.999950004 5.00E-05 41400.74372 0 5.00E-05 111.1809045 22141 0.369016667
0.999960004 4.00E-05 50904.86935 0 4.00E-05 139.040201 27672 0.4612
0.999970002 3.00E-05 68669.09045 0 3.00E-05 184.2763819 36671 0.611183333
0.999980001 2.00E-05 98491.42211 0 2.00E-05 266.6532663 53096 0.884933333
0.999990001 1.00E-05 193272.4774 0 1.00E-05 524.718593 104451 1.74085
0.999991001 9.00E-06 206907.4774 0 9.00E-06 558.1105528 111064 1.851066667
0.999992001 8.00E-06 237203.201 0 8.00E-06 642.5778894 127873 2.131216667
0.999993 7.00E-06 269616.4372 0 7.00E-06 727.0201005 144692 2.411533333
0.999994 6.00E-06 308451.3015 0 6.00E-06 830.2512563 165220 2.753666667
0.999995 5.00E-06 366383.0905 0 5.00E-06 987.0050251 196414 3.273566667
0.999996 4.00E-06 441795.6482 0 4.00E-06 1193.38191 237499 3.958316667
0.999997 3.00E-06 587062.9196 0 3.00E-06 1594.281407 317262 5.2877
0.999998 2.00E-06 881343.3819 0 2.00E-06 2384.386935 474493 7.908216667
0.999999 1.00E-06 1691667.427 0 1.00E-06 4240.211055 843802 14.06336667
0.9999991 9.00E-07 1861192.327 0 9.00E-07 5102.648241 1015444 16.92406667
0.9999992 8.00E-07 2080246.372 0 8.00E-07 5709.417085 1136174 18.93623333
0.9999993 7.00E-07 2464329.97 0 7.00E-07 6725.005025 1338292 22.30486667
0.9999994 6.00E-07 2925796.92 0 6.00E-07 7890.638191 1570237 26.17061667
0.9999995 5.00E-07 3289760.563 0 5.00E-07 8888.251256 1768762 29.47936667
0.9999996 4.00E-07 4007427.271 0 4.00E-07 10831.90955 2155550 35.92583333
0.9999997 3.00E-07 5245088.296 0 3.00E-07 14310.68342 2847826 47.46376667
0.9999998 2.00E-07 7786895.241 0 2.00E-07 21688.41709 4316003 71.93338333
0.9999999 1.00E-07 1.58E+07 0 1.00E-07 42070.00503 8371946 139.5324333
457.6526833
dr-3-10-3
f2[0] f2[1] f2[2] 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
0.531998108 0.4668063 0.467841829 2.040201005 0 0.5 0.391959799 78 0.0013
0.625916993 0.374693698 0.373937912 5.577889447 0 0.4 0.236180905 78 0.0013
0.717575379 0.283496485 0.282197138 10.4321608 0 0.3 0.155778894 31 0.000516667
0.809919228 0.190881722 0.190713318 18.48241206 0 0.2 0.16080402 47 0.000783333
0.902821459 0.097322419 0.09703025 38.00502513 0 0.1 0.236180905 47 0.000783333
0.990045238 0.009953845 0.009955177 281.0904523 0 0.01 1.567839196 312 0.0052
0.999000849 9.99E-04 9.99E-04 1994.175879 0 0.001 8.261306533 1644 0.0274
0.999900027 1.00E-04 1.00E-04 16359.0402 0 1.00E-04 55.13567839 11020 0.183666667
0.999910024 9.00E-05 9.00E-05 18649.9598 0 9.00E-05 56.92462312 11344 0.189066667
0.999920021 8.00E-05 8.00E-05 20427.95477 0 8.00E-05 60.57286432 12069 0.20115
0.999930016 7.00E-05 7.00E-05 23575.8593 0 7.00E-05 70.74874372 14079 0.23465
0.999940017 6.00E-05 6.00E-05 26453.01508 0 6.00E-05 79.9798995 15931 0.265516667
0.999950013 5.00E-05 5.00E-05 31641.95477 0 5.00E-05 96.27638191 19159 0.319316667
0.999960009 4.00E-05 4.00E-05 38461.94975 0 4.00E-05 116.080402 23100 0.385
0.999970008 3.00E-05 3.00E-05 51233.01508 0 3.00E-05 155.4924623 30943 0.515716667
0.999980005 2.00E-05 2.00E-05 74906.1206 0 2.00E-05 226.8291457 45139 0.752316667
0.999990003 1.00E-05 1.00E-05 144249.7286 0 1.00E-05 437.2713568 87032 1.450533333
0.999991002 9.00E-06 9.00E-06 158850.8543 0 9.00E-06 479.3115578 95383 1.589716667
0.999992002 8.00E-06 8.00E-06 180718.5427 0 8.00E-06 545.5276382 108560 1.809333333
0.999993002 7.00E-06 7.00E-06 202380.0402 0 7.00E-06 622.5527638 123894 2.0649
0.999994001 6.00E-06 6.00E-06 240200 0 6.00E-06 722.5929648 143808 2.3968
0.999995001 5.00E-06 5.00E-06 279138.8844 0 5.00E-06 839.4120603 167050 2.784166667
0.999996001 4.00E-06 4.00E-06 344849.6935 0 4.00E-06 1036.477387 206264 3.437733333
0.999997001 3.00E-06 3.00E-06 459529.0302 0 3.00E-06 1381.035176 274831 4.580516667
0.999998 2.00E-06 2.00E-06 672539.7437 0 2.00E-06 2023.020101 402583 6.709716667
0.999999 1.00E-06 1.00E-06 1292568.874 0 1.00E-06 3888.683417 773855 12.89758333
0.9999991 9.00E-07 9.00E-07 1469246.196 0 9.00E-07 4528.236181 901121 15.01868333
0.9999992 8.00E-07 8.00E-07 1621744.271 0 8.00E-07 5122.98995 1019482 16.99136667
0.9999993 7.00E-07 7.00E-07 1797949.739 0 7.00E-07 5819.79397 1158147 19.30245
0.9999994 6.00E-07 6.00E-07 2091886.859 0 6.00E-07 6800.984925 1353401 22.55668333
0.9999995 5.00E-07 5.00E-07 2467525.844 0 5.00E-07 8110.522613 1613995 26.89991667
0.9999996 4.00E-07 4.00E-07 3216941.045 0 4.00E-07 9953.045226 1980658 33.01096667
0.9999997 3.00E-07 3.00E-07 4254122.518 0 3.00E-07 12569.71859 2501374 41.68956667
0.9999998 2.00E-07 2.00E-07 5986582.417 0 2.00E-07 18259.92462 3633725 60.56208333
0.9999999 1.00E-07 1.00E-07 1.23E+07 0 1.00E-07 38868.19095 7734773 128.9128833
407.7492833
dr-4-10-4
f2[0] f2[1] f2[2] f2[3] 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
0.535716861 0.463529881 0.462201609 0.464102577 3 0 0.5 0.547738693 109 0.001816667
0.626382757 0.370585994 0.369941534 0.372025326 7 0 0.4 0.221105528 51 0.00085
0.718509103 0.281085664 0.281285396 0.281171568 12 0 0.3 0.135678392 27 0.00045
0.810595708 0.189874827 0.189742401 0.188944534 20 0 0.2 0.180904523 40 0.000666667
0.903273004 0.096510407 0.096590552 0.096482455 42 0 0.1 0.311557789 62 0.001033333
0.99006448 0.009931742 0.009934172 0.009929011 347 0 0.01 1.768844221 352 0.005866667
0.999001338 9.99E-04 9.99E-04 9.99E-04 2942 0 0.001 8.376884422 1668 0.0278
0.99990005 1.00E-04 9.99E-05 9.99E-05 23884 0 1.00E-04 51.49748744 10254 0.1709
0.999910042 9.00E-05 9.00E-05 9.00E-05 37315 0 9.00E-05 54.46231156 10858 0.180966667
0.999920041 8.00E-05 8.00E-05 8.00E-05 26333 0 8.00E-05 60.04020101 11964 0.1994
0.99993003 7.00E-05 7.00E-05 7.00E-05 46405 0 7.00E-05 67.23115578 13387 0.223116667
0.999940028 6.00E-05 6.00E-05 6.00E-05 43844 0 6.00E-05 80.77386935 16075 0.267916667
0.999950023 5.00E-05 5.00E-05 5.00E-05 57098 0 5.00E-05 94.61809045 18837 0.31395
0.999960017 4.00E-05 4.00E-05 4.00E-05 63706 0 4.00E-05 117.3819095 23359 0.389316667
0.999970013 3.00E-05 3.00E-05 3.00E-05 102785 0 3.00E-05 152.3819095 30332 0.505533333
0.999980009 2.00E-05 2.00E-05 2.00E-05 131495 0 2.00E-05 223.3517588 44456 0.740933333
0.999990004 1.00E-05 1.00E-05 1.00E-05 203355 0 1.00E-05 432.8542714 86146 1.435766667
0.999991003 9.00E-06 9.00E-06 9.00E-06 296829 0 9.00E-06 485.1005025 96535 1.608916667
0.999992003 8.00E-06 8.00E-06 8.00E-06 363607 0 8.00E-06 553.4522613 110137 1.835616667
0.999993002 7.00E-06 7.00E-06 7.00E-06 421455 0 7.00E-06 624.6884422 124313 2.071883333
0.999994002 6.00E-06 6.00E-06 6.00E-06 405253 0 6.00E-06 720.0854271 143305 2.388416667
0.999995002 5.00E-06 5.00E-06 5.00E-06 438198 0 5.00E-06 846.7085427 168511 2.808516667
0.999996001 4.00E-06 4.00E-06 4.00E-06 733902 0 4.00E-06 1062.241206 211386 3.5231
0.999997001 3.00E-06 3.00E-06 3.00E-06 747879 0 3.00E-06 1375.070352 273639 4.56065
0.999998001 2.00E-06 2.00E-06 2.00E-06 1245116 0 2.00E-06 2037.321608 405442 6.757366667
0.999999 1.00E-06 1.00E-06 1.00E-06 2046819 0 1.00E-06 3900.668342 776234 12.93723333
0.9999991 9.00E-07 9.00E-07 9.00E-07 2010564 0 9.00E-07 4260.743719 847889 14.13148333
0.9999992 8.00E-07 8.00E-07 8.00E-07 2166817 0 8.00E-07 4823.21608 959820 15.997
0.9999993 7.00E-07 7.00E-07 7.00E-07 3092601 0 7.00E-07 5536.517588 1101799 18.36331667
0.9999994 6.00E-07 6.00E-07 6.00E-07 2729326 0 6.00E-07 6414.592965 1276520 21.27533333
0.9999995 5.00E-07 5.00E-07 5.00E-07 3698517 0 5.00E-07 7769.160804 1546067 25.76778333
0.9999996 4.00E-07 4.00E-07 4.00E-07 5727957 0 4.00E-07 9313.638191 1853418 30.8903
0.9999997 3.00E-07 3.00E-07 3.00E-07 6026219 0 3.00E-07 12582.55276 2503943 41.73238333
0.9999998 2.00E-07 2.00E-07 2.00E-07 1.07E+07 0 2.00E-07 18166.89447 3615217 60.25361667
0.9999999 1.00E-07 1.00E-07 1.00E-07 2.71E+07 0 1.00E-07 36836.72864 7330514 122.1752333
393.5444333
本次实验原始数据比较多有感兴趣的朋友可以在我的资源里下载
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