PyTorch实现反向传播
实现代码:
import torch
x_data = [1.0, 2.0, 3.0]
y_data = [2.0, 4.0, 6.0]
w = torch.tensor([1.0])
w.requires_grad = True
def forward(x):
return x * w; # w是一个Tensor
def loss(x, y):
y_pred = forward(x)
return (y_pred - y) ** 2
print("predict (before training))", 4, forward(4).item())
for epoch in range(100):
for x, y in zip(x_data, y_data):
l = loss(x, y) # l是一个张量,tensor主要是建立在计算图,计算损失
l.backward()
print('\tgrad:', x, y, w.grad.item())
w.data = w.data - 0.01 * w.grad.data # 权重更新时,注意grad也是一个Tensor
w.grad.data.zero_() # 更新完之后要记得清零
print("progress:", epoch, l.item())
print("predict (after training)", 4, forward(4).item())
训练结果如下:
predict (before training)) 4 4.0
grad: 1.0 2.0 -2.0
grad: 2.0 4.0 -7.840000152587891
grad: 3.0 6.0 -16.228801727294922
progress: 0 7.315943717956543
grad: 1.0 2.0 -1.478623867034912
grad: 2.0 4.0 -5.796205520629883
grad: 3.0 6.0 -11.998146057128906
progress: 1 3.9987640380859375
grad: 1.0 2.0 -1.0931644439697266
grad: 2.0 4.0 -4.285204887390137
grad: 3.0 6.0 -8.870372772216797
progress: 2 2.1856532096862793
grad: 1.0 2.0 -0.8081896305084229
grad: 2.0 4.0 -3.1681032180786133
grad: 3.0 6.0 -6.557973861694336
progress: 3 1.1946394443511963
grad: 1.0 2.0 -0.5975041389465332
grad: 2.0 4.0 -2.3422164916992188
grad: 3.0 6.0 -4.848389625549316
progress: 4 0.6529689431190491
grad: 1.0 2.0 -0.4417421817779541
grad: 2.0 4.0 -1.7316293716430664
grad: 3.0 6.0 -3.58447265625
progress: 5 0.35690122842788696
grad: 1.0 2.0 -0.3265852928161621
grad: 2.0 4.0 -1.2802143096923828
grad: 3.0 6.0 -2.650045394897461
progress: 6 0.195076122879982
grad: 1.0 2.0 -0.24144840240478516
grad: 2.0 4.0 -0.9464778900146484
grad: 3.0 6.0 -1.9592113494873047
progress: 7 0.10662525147199631
grad: 1.0 2.0 -0.17850565910339355
grad: 2.0 4.0 -0.699742317199707
grad: 3.0 6.0 -1.4484672546386719
progress: 8 0.0582793727517128
grad: 1.0 2.0 -0.1319713592529297
grad: 2.0 4.0 -0.5173273086547852
grad: 3.0 6.0 -1.070866584777832
progress: 9 0.03185431286692619
grad: 1.0 2.0 -0.09756779670715332
grad: 2.0 4.0 -0.3824653625488281
grad: 3.0 6.0 -0.7917022705078125
progress: 10 0.017410902306437492
grad: 1.0 2.0 -0.07213282585144043
grad: 2.0 4.0 -0.2827606201171875
grad: 3.0 6.0 -0.5853137969970703
progress: 11 0.009516451507806778
grad: 1.0 2.0 -0.053328514099121094
grad: 2.0 4.0 -0.2090473175048828
grad: 3.0 6.0 -0.43272972106933594
progress: 12 0.005201528314501047
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grad: 2.0 4.0 -0.15455150604248047
grad: 3.0 6.0 -0.3199195861816406
progress: 13 0.0028430151287466288
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grad: 3.0 6.0 -0.23652076721191406
progress: 14 0.0015539465239271522
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progress: 15 0.0008493617060594261
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progress: 16 0.00046424579340964556
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grad: 2.0 4.0 -0.046172142028808594
grad: 3.0 6.0 -0.09557533264160156
progress: 17 0.0002537401160225272
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grad: 3.0 6.0 -0.07066154479980469
progress: 18 0.00013869594840798527
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grad: 3.0 6.0 -0.052239418029785156
progress: 19 7.580435340059921e-05
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progress: 20 4.143271507928148e-05
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grad: 3.0 6.0 -0.028553009033203125
progress: 21 2.264650902361609e-05
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grad: 2.0 4.0 -0.010198593139648438
grad: 3.0 6.0 -0.021108627319335938
progress: 22 1.2377059647405986e-05
grad: 1.0 2.0 -0.0019233226776123047
grad: 2.0 4.0 -0.0075397491455078125
grad: 3.0 6.0 -0.0156097412109375
progress: 23 6.768445018678904e-06
grad: 1.0 2.0 -0.0014221668243408203
grad: 2.0 4.0 -0.0055751800537109375
grad: 3.0 6.0 -0.011541366577148438
progress: 24 3.7000872907810844e-06
grad: 1.0 2.0 -0.0010514259338378906
grad: 2.0 4.0 -0.0041217803955078125
grad: 3.0 6.0 -0.008531570434570312
progress: 25 2.021880391112063e-06
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grad: 3.0 6.0 -0.006305694580078125
progress: 26 1.1044940038118511e-06
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grad: 2.0 4.0 -0.0022525787353515625
grad: 3.0 6.0 -0.0046634674072265625
progress: 27 6.041091182851233e-07
grad: 1.0 2.0 -0.0004248619079589844
grad: 2.0 4.0 -0.0016651153564453125
grad: 3.0 6.0 -0.003444671630859375
progress: 28 3.296045179013163e-07
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grad: 2.0 4.0 -0.0004978179931640625
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progress: 32 2.9467628337442875e-08
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grad: 2.0 4.0 -0.0003681182861328125
grad: 3.0 6.0 -0.0007610321044921875
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grad: 2.0 4.0 -0.00027179718017578125
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progress: 35 4.8466972657479346e-09
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grad: 3.0 6.0 -0.000308990478515625
progress: 36 2.6520865503698587e-09
grad: 1.0 2.0 -2.8133392333984375e-05
grad: 2.0 4.0 -0.000110626220703125
grad: 3.0 6.0 -0.0002288818359375
progress: 37 1.4551915228366852e-09
grad: 1.0 2.0 -2.09808349609375e-05
grad: 2.0 4.0 -8.20159912109375e-05
grad: 3.0 6.0 -0.00016880035400390625
progress: 38 7.914877642178908e-10
grad: 1.0 2.0 -1.5497207641601562e-05
grad: 2.0 4.0 -6.103515625e-05
grad: 3.0 6.0 -0.000125885009765625
progress: 39 4.4019543565809727e-10
grad: 1.0 2.0 -1.1444091796875e-05
grad: 2.0 4.0 -4.482269287109375e-05
grad: 3.0 6.0 -9.1552734375e-05
progress: 40 2.3283064365386963e-10
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grad: 2.0 4.0 -3.24249267578125e-05
grad: 3.0 6.0 -6.580352783203125e-05
progress: 41 1.2028067430946976e-10
grad: 1.0 2.0 -5.9604644775390625e-06
grad: 2.0 4.0 -2.288818359375e-05
grad: 3.0 6.0 -4.57763671875e-05
progress: 42 5.820766091346741e-11
grad: 1.0 2.0 -4.291534423828125e-06
grad: 2.0 4.0 -1.71661376953125e-05
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progress: 43 3.842615114990622e-11
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grad: 3.0 6.0 -2.86102294921875e-05
progress: 44 2.2737367544323206e-11
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progress: 45 1.4551915228366852e-11
grad: 1.0 2.0 -1.9073486328125e-06
grad: 2.0 4.0 -7.62939453125e-06
grad: 3.0 6.0 -1.430511474609375e-05
progress: 46 5.6843418860808015e-12
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grad: 3.0 6.0 -1.1444091796875e-05
progress: 47 3.637978807091713e-12
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progress: 48 3.637978807091713e-12
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progress: 51 9.094947017729282e-13
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grad: 2.0 4.0 -2.86102294921875e-06
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progress: 65 9.094947017729282e-13
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progress: 66 9.094947017729282e-13
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progress: 96 9.094947017729282e-13
grad: 1.0 2.0 -7.152557373046875e-07
grad: 2.0 4.0 -2.86102294921875e-06
grad: 3.0 6.0 -5.7220458984375e-06
progress: 97 9.094947017729282e-13
grad: 1.0 2.0 -7.152557373046875e-07
grad: 2.0 4.0 -2.86102294921875e-06
grad: 3.0 6.0 -5.7220458984375e-06
progress: 98 9.094947017729282e-13
grad: 1.0 2.0 -7.152557373046875e-07
grad: 2.0 4.0 -2.86102294921875e-06
grad: 3.0 6.0 -5.7220458984375e-06
progress: 99 9.094947017729282e-13
predict (after training) 4 7.999998569488525
如果没办法缓解对未来的焦虑,那就先做好眼前的事情吧。大雾的清晨是无法看清远方的,但至少脚下的每一步是清晰的。总会有大雾散开的时刻,在那之前,你不能囿于原地,一步都不走。 |
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