PyTorch学习笔记之Tensors

PyTorch Tensors are just like numpy arrays, but they can run on GPU.No built-in notion of computational graph, or gradients, or deep learning.Here we fit a two-layer net using PyTorch Tensors:

 import torch
 
 dtype = torch.FloatTensor
 
 # step 1: create random tensors for data and weights
 N, D_in, H, D_out = 64, 1000, 100, 10
 x = torch.randn(N, D_in).type(dtype)
 # print(x)                                  # [torch.FloatTensor of size 64x1000]
 y = torch.randn(N, D_out).type(dtype)
 # print(y)                                  # [torch.FloatTensor of size 64x10]
 w1 = torch.randn(D_in, H).type(dtype)
 # print(w1)                                 # [torch.FloatTensor of size 1000x100]
 w2 = torch.randn(H, D_out).type(dtype)
 # print(w2)                                 # [torch.FloatTensor of size 100x10]

step 2

 learning_rate = 1e-6
 for t in range(1):
     # step 2: Forward pass: compute predictions and loss
     h = x.mm(w1)                              # mm is which function ?
     # print(h)                                # [torch.FloatTensor of size 64x100]
     # print(x.mul(w1))                          # RuntimeError: inconsistent tensor size
     h_relu = h.clamp(min=0)                     # clamp(myValue, min, max)
     # print(h_relu)                            # [torch.FloatTensor of size 64x100]
     y_pred = h_relu.mm(w2)
     # print(y_pred)                           # [torch.FloatTensor of size 64x10]
     loss = (y_pred - y).pow(2).sum()
     # print((y_pred - y).pow(2))              # pow() 方法返回 xy（x的y次方） 的值。
     # print(loss)                             # 30832366.024527483
 
 # define function clamp
 # def clamp(minvalue, value, maxvalue):
 #     return max(minvalue, min(value, maxvalue))
 ''' h
  6.2160e+00 -1.0304e+01 -2.1468e+01  ...   1.9651e+01  1.7158e+01  1.3336e+01
  5.8056e+01  2.6900e+01  2.2681e+01  ...  -3.0021e+01 -4.7533e+01  3.7371e+01
 -1.6430e+01 -4.1532e+01  2.7384e+01  ...  -3.2225e+01 -1.9597e+01  5.8636e+01
                 ...                   ⋱                   ...
  9.2964e+00  6.5791e+01  1.8076e+01  ...   2.4620e+01  2.3355e+01  4.4987e-01
  3.7563e+01 -2.6666e+01  3.5643e+01  ...   3.0626e+01  3.0002e+01 -1.3277e+01
 -4.2287e+01  3.3466e+01  3.8845e+01  ...   2.1715e+01 -3.3691e+01 -2.5290e+01
 [torch.FloatTensor of size 64x100]
 
 h_relu
    6.2160    0.0000    0.0000  ...    19.6511   17.1578   13.3358
   58.0565   26.8997   22.6810  ...     0.0000    0.0000   37.3708
    0.0000    0.0000   27.3841  ...     0.0000    0.0000   58.6358
              ...                ⋱                ...
    9.2964   65.7915   18.0760  ...    24.6199   23.3550    0.4499
   37.5627    0.0000   35.6430  ...    30.6257   30.0016    0.0000
    0.0000   33.4656   38.8449  ...    21.7154    0.0000    0.0000
 [torch.FloatTensor of size 64x100]
 '''

step 3

 for t in range(500):
     # step 2: Forward pass: compute predictions and loss
     h = x.mm(w1)                                # [torch.FloatTensor of size 64x100]
     h_relu = h.clamp(min=0)                     # clamp(myValue, min, max)
     #  h_relu [torch.FloatTensor of size 64x100]
     y_pred = h_relu.mm(w2)                      # # [torch.FloatTensor of size 64x10]
     loss = (y_pred - y).pow(2).sum()            # 30832366.024527483
 
     # step 3: Backward pass: manually compute gradients
     grad_y_pred = 2.0 * (y_pred - y)            # [torch.FloatTensor of size 64x10]
     grad_w2 = h_relu.t().mm(grad_y_pred)        # .t()转置
     grad_h_relu = grad_y_pred.mm(w2.t())        # [torch.FloatTensor of size 64x100]
     grad_h = grad_h_relu.clone()                # the same as
     grad_h[h < 0] = 0
     grad_w1 = x.t().mm(grad_h)                  # [torch.FloatTensor of size 1000x100]
 
 # print(h_relu)
 # print(h_relu.t())
 '''
    0.0000   14.8044    0.0000  ...     0.0000   38.3654    0.0000
   21.3853    0.0000   27.1789  ...    14.8747   14.6064    0.0000
   33.8491    0.0000    0.0000  ...    26.2651   11.5845    0.0000
              ...                ⋱                ...
   11.2708    0.0000    0.0000  ...     0.0000    4.2082    0.0000
    0.0000    0.0000    0.0000  ...     2.6930    5.6134   47.2977
    0.0000   37.3445    0.0000  ...    31.3511    0.0000   64.6182
 [torch.FloatTensor of size 64x100]
 
    0.0000   21.3853   33.8491  ...    11.2708    0.0000    0.0000
   14.8044    0.0000    0.0000  ...     0.0000    0.0000   37.3445
    0.0000   27.1789    0.0000  ...     0.0000    0.0000    0.0000
              ...                ⋱                ...
    0.0000   14.8747   26.2651  ...     0.0000    2.6930   31.3511
   38.3654   14.6064   11.5845  ...     4.2082    5.6134    0.0000
    0.0000    0.0000    0.0000  ...     0.0000   47.2977   64.6182
 [torch.FloatTensor of size 100x64]
 '''
 
 # print(grad_h)
 # grad_h[h < 0] = 0
 # print(grad_h)
 '''
 -3.9989e+02 -9.3610e+02 -3.9592e+02  ...  -1.0868e+03  6.9429e+02  3.3026e+02
  9.4933e+02  1.2244e+03  2.4054e+02  ...   9.1655e+02  1.3783e+03  2.2368e+02
  4.1473e+03  3.6368e+03 -3.2277e+02  ...   2.9705e+02  3.9689e+03  1.0691e+03
                 ...                   ⋱                   ...
  1.2205e+03 -4.0321e+02  8.4314e+02  ...   1.0697e+03  1.0149e+02 -4.6613e+02
  6.0660e+02  5.5411e+02  2.0111e+03  ...  -7.9235e+02  7.9334e+02 -9.1837e+01
  1.3468e+03  2.4743e+03 -3.9460e+02  ...   1.1505e+03  1.5951e+03  7.3752e+02
 [torch.FloatTensor of size 64x100]
 
      0.0000      0.0000   -395.9182  ...   -1086.8199      0.0000      0.0000
    949.3327      0.0000    240.5419  ...       0.0000      0.0000    223.6831
   4147.3193      0.0000      0.0000  ...     297.0452   3968.9290      0.0000
                 ...                   ⋱                   ...
   1220.4922      0.0000    843.1447  ...    1069.6855    101.4936      0.0000
      0.0000    554.1067   2011.1219  ...    -792.3494      0.0000    -91.8371
   1346.8444   2474.3076      0.0000  ...       0.0000   1595.0582    737.5197
 [torch.FloatTensor of size 64x100]
 '''

step 4

     # step 4: Gradient descent step on weights
     w1 -= learning_rate * grad_w1               # [torch.FloatTensor of size 1000x100]
     w2 -= learning_rate * grad_w2               # [torch.FloatTensor of size 100x10]