torch.matmul#
torch.matmul(input, other)
计算两个张量input和other的矩阵乘积，在PyTorch中可以通过torch.matmul函数实现
注意：matmul函数没有强制规定维度和大小，可以用利用广播机制进行不同维度的相乘操作。
import torch
w = torch.tensor([2, -3.4])
X = torch.normal(0, 1, (1000, len(w)))
y = torch.matmul(X, w) + 4.2
y
tensor([ 3.8289e+00, 1.8653e+00, 4.4250e+00, 2.8341e+00, 1.1564e+01,
7.3641e+00, 1.5435e+00, 6.7380e+00, 6.9383e+00, 3.6823e+00,
-2.6328e+00, 6.9275e+00, 1.8300e+00, 8.1740e-01, 6.9061e-01,
4.9822e+00, 2.4043e+00, 6.2444e+00, 7.5422e+00, 3.8553e+00,
6.5205e+00, -3.1938e+00, 3.3807e+00, 1.1596e+00, 1.2209e+01,
1.1756e+00, -1.7697e+00, 1.9882e+00, 4.4324e+00, 3.9200e+00,
1.7437e+00, 9.1596e+00, 3.0908e-01, -4.2704e-01, 4.6867e+00,
4.6546e+00, 3.5735e+00, 4.5154e+00, 2.4847e+00, 8.0081e+00,
2.2720e-01, 7.3791e+00, 4.9551e+00, 5.7723e-01, 7.7501e+00,
7.9209e+00, 7.7051e+00, 3.2006e+00, 6.4874e+00, -1.3575e+00,
1.1146e+01, 8.8385e+00, 9.6623e+00, 2.4354e+00, 5.0900e+00,
7.0097e+00, 5.0592e+00, 4.7131e+00, 7.7792e+00, 1.2882e+01,
7.7923e+00, -5.9042e+00, 1.7792e+00, 6.9348e+00, -7.3768e-01,
1.9122e+01, 1.5661e+00, 7.5634e+00, 1.1867e+00, -5.5177e+00,
1.1797e+00, 1.7348e+00, 3.6367e+00, 4.7972e+00, 1.0702e+01,
7.1279e+00, 1.1575e+01, -2.3692e-01, 5.6573e+00, 1.4267e+00,
7.4770e+00, 4.2573e+00, 2.8344e+00, 1.2884e+01, 3.7619e+00,
2.1157e+00, -5.0405e+00, 4.4148e+00, -2.8004e-01, 5.5866e+00,
3.6628e+00, 5.5358e+00, 5.2130e+00, 4.8571e+00, 5.8654e+00,
1.0976e+01, 4.0743e+00, 6.7796e+00, 2.4415e+00, -8.3995e-01,
8.6687e+00, 8.0857e+00, 5.3988e+00, 1.1404e-01, 5.4502e+00,
3.2440e+00, 3.2983e+00, 3.4085e+00, 2.3573e+00, -4.6592e-01,
1.5888e+00, 4.6445e+00, -8.8332e-01, 6.6872e-01, 8.5452e+00,
4.7300e+00, 2.3966e+00, 2.2871e+00, 1.1948e+00, 3.3248e+00,
6.8790e+00, 7.2492e+00, 4.9568e+00, 3.6364e+00, 6.5738e+00,
2.2161e+00, 1.5375e+00, 7.8257e+00, -2.3700e+00, 7.8435e+00,
4.5652e+00, 4.9748e+00, 3.0418e+00, 9.7638e+00, 6.4300e+00,
-2.8424e+00, 2.8226e+00, 3.6797e+00, 4.3778e+00, 5.2391e+00,
7.8702e+00, -1.6779e+00, -3.4724e-01, 9.1386e+00, 1.0262e+01,
2.4466e+00, 5.5900e+00, 5.4683e+00, -1.0685e+00, 1.1479e+01,
2.7841e+00, 2.3385e+00, 1.4288e+00, 9.6571e+00, 7.4572e+00,
9.0377e-01, 6.2744e+00, 1.5167e+00, 1.3240e+00, 7.1366e+00,
9.5067e-01, 5.8499e+00, 5.5584e+00, 2.3026e+00, 6.0253e+00,
-9.3205e-01, 4.6109e+00, 1.1302e+01, 2.7105e+00, 4.8870e+00,
4.8759e+00, 6.8026e+00, 2.2313e+00, 2.4255e+00, 6.0482e+00,
1.2723e+01, 8.7581e-01, -2.2944e+00, 4.2863e+00, 2.9022e+00,
2.4998e+00, -1.2041e+00, 2.6947e+00, 4.8205e+00, 4.6222e+00,
7.8177e+00, 5.8179e+00, 1.8793e+00, 8.2589e+00, 5.7179e+00,
1.1391e-01, 3.4999e+00, 5.1839e+00, 2.3552e+00, -4.0115e+00,
7.6812e+00, 3.5088e+00, 2.1880e+00, 7.1080e+00, 1.0695e+01,
1.6472e+00, 6.1965e-01, 4.2800e+00, 4.1884e+00, 5.2356e+00,
2.9275e+00, -1.2910e+00, 9.0235e+00, 7.7314e-01, 7.0032e+00,
5.2167e+00, 8.0027e+00, 1.8234e-01, 1.1820e+01, -1.2468e+00,
5.4537e+00, 7.0476e+00, -2.7688e+00, 3.1378e+00, 4.0360e+00,
1.5146e+00, 3.9713e+00, 4.2306e+00, -2.9371e+00, 3.0600e+00,
5.3721e+00, 1.5765e+00, 7.8596e-01, 3.7244e+00, 5.9734e-01,
9.6478e+00, 2.8681e+00, 2.6969e+00, 1.3551e+01, 3.1747e-01,
-7.2820e-01, 8.9842e+00, 6.9841e+00, 7.6227e+00, 4.3766e+00,
5.7428e+00, 2.6936e+00, 7.4957e+00, 6.0872e+00, 7.7484e+00,
1.4747e+00, 1.2116e+01, 6.0066e+00, -3.4782e+00, 1.3750e+01,
-1.2816e+00, 8.4102e+00, 3.8111e+00, 8.1302e+00, 1.2970e+01,
5.6738e+00, -3.8072e-01, -4.9330e-01, 6.6394e+00, 3.2384e+00,
7.8299e+00, -5.6673e-02, -3.0377e-01, 1.2218e+01, 4.4609e+00,
8.8645e+00, 8.3323e+00, 8.0787e+00, 3.6171e+00, 5.6150e+00,
8.6544e+00, 1.3775e+00, 5.0366e+00, 1.1919e+01, 1.3356e+01,
5.3615e+00, 4.7618e+00, 1.5006e+00, 8.3289e+00, 4.3708e+00,
7.5786e+00, 3.4935e+00, -6.0602e-01, -1.8066e+00, -1.7758e+00,
-1.3188e+00, 5.8643e+00, -2.0638e+00, 7.6129e+00, 1.0461e+00,
4.2968e+00, 2.1600e+00, 6.1272e-01, 8.2493e+00, 4.2148e+00,
5.3506e+00, 8.0855e+00, -2.0102e-01, 3.8803e+00, 2.0895e+00,
9.6980e+00, 3.1011e+00, -9.4717e+00, 8.2297e+00, 3.6907e+00,
8.4494e+00, 6.0321e+00, -2.3443e+00, -2.6188e+00, 3.6752e+00,
1.9861e+00, 1.3672e+01, 4.8282e+00, 2.4781e+00, 8.4451e+00,
6.1945e+00, 8.2838e-01, 6.0372e+00, -4.1709e+00, 5.4536e+00,
1.6873e+00, 1.8109e+00, 1.1404e-01, -5.3159e-01, 2.0842e+00,
8.4753e+00, -2.0711e+00, 1.0286e+01, 4.1473e+00, 5.0697e+00,
2.4708e+00, 8.7008e+00, 3.2017e-01, 4.3103e+00, 7.1403e+00,
3.9752e+00, 5.2669e+00, 4.0822e+00, -3.3117e+00, 4.4475e+00,
1.0138e+01, -2.7662e+00, 4.2820e+00, 7.3187e+00, 5.3829e+00,
-7.2249e-01, -4.2877e+00, -1.6853e+00, -4.2105e+00, 2.7645e+00,
6.4053e+00, 7.9919e+00, 8.4311e+00, 7.6368e+00, 7.7862e+00,
-8.3651e-01, 7.3818e+00, 1.0596e+01, 2.3163e-01, 6.5328e+00,
5.5052e+00, 3.0574e+00, 4.7660e+00, 5.6557e+00, 9.4770e+00,
4.6035e-01, 8.9908e+00, 4.8521e+00, 5.0184e+00, 6.5705e+00,
7.6659e+00, 5.0835e+00, 8.0364e+00, 1.7811e+00, 2.0721e+00,
8.4170e+00, 4.6298e-01, 6.4001e+00, 7.2656e+00, 2.0633e+00,
1.6492e+00, 4.9831e+00, 5.0862e+00, -1.8662e+00, 3.8825e+00,
5.4857e+00, 1.5146e+00, 4.2770e+00, 2.0633e+00, 4.1265e+00,
3.9371e+00, 5.5918e+00, 6.3636e+00, -4.7308e+00, 3.7110e+00,
-7.4326e+00, 7.6712e+00, -3.6654e-01, 4.1289e-02, 5.4796e+00,
5.9173e+00, 9.2184e+00, 9.1571e+00, 5.8816e+00, 1.0704e+01,
4.7000e+00, 3.5579e+00, 4.4581e+00, 8.7599e+00, 1.8078e+00,
2.0042e+00, 4.5345e+00, -8.7786e-01, 2.5688e-01, 9.5640e+00,
1.9184e+00, 7.6941e+00, 6.1249e+00, 7.5320e+00, 1.7006e+00,
5.9199e+00, 5.2746e+00, 1.1669e+01, 3.7318e-01, 3.1319e+00,
5.8243e+00, 9.5687e+00, 5.1392e+00, 5.4209e-01, 3.7941e+00,
3.1288e+00, 8.5105e+00, -2.0753e+00, 2.5900e+00, 9.1257e-01,
5.4238e-01, 2.1580e+00, -2.5581e+00, 2.5446e+00, 4.7963e+00,
6.9528e+00, 4.3912e+00, 3.6268e+00, 1.5549e+00, 9.1948e+00,
2.7068e+00, 4.2625e+00, 1.1407e+01, 3.0765e+00, 9.0124e+00,
2.7686e+00, 2.1499e-01, 1.5809e+00, 7.8818e+00, 7.5120e+00,
4.8167e+00, 9.5289e+00, -3.3075e+00, 2.9103e+00, 8.3969e+00,
6.6481e+00, 3.9388e+00, 3.1343e+00, 5.5203e+00, 6.6929e+00,
9.8499e+00, -1.3584e-01, 3.3576e+00, 3.1183e+00, 4.4397e+00,
6.9191e+00, -2.2791e+00, 1.4991e+00, 1.0491e+01, -1.3689e+00,
9.1329e+00, 4.8045e-01, 5.5773e+00, 1.2867e+01, -3.8797e-01,
7.7819e+00, 7.9893e-01, 1.0155e+01, 8.7166e-04, 4.4004e+00,
-4.4009e+00, 3.2950e+00, 4.0176e+00, 3.8223e+00, 8.5731e+00,
5.9550e+00, 3.1220e+00, 7.7115e+00, 4.3224e+00, 4.5343e+00,
3.1382e+00, -3.9196e+00, 7.0224e+00, 5.2506e+00, 6.4250e+00,
3.4765e+00, 3.4722e+00, 5.7295e+00, 1.5559e+00, 1.2988e+00,
9.0895e+00, 7.1141e+00, -7.3086e-01, 6.2003e+00, 7.5467e+00,
6.0121e+00, 7.2820e+00, 9.6407e+00, 8.4240e+00, 4.6587e+00,
7.8066e+00, -1.5918e+00, -4.9625e+00, 6.9637e+00, 7.2925e+00,
5.8567e+00, 2.1257e+00, -1.0569e+00, 8.1814e-01, 4.9409e+00,
5.7406e+00, 1.6971e+00, 2.2449e+00, 5.3392e+00, 3.5607e+00,
-1.6418e+00, 1.6085e+00, 5.6341e+00, 8.9043e+00, -3.5922e+00,
-1.0611e+00, 2.0893e+00, 4.1510e-01, -1.8799e+00, 4.2587e+00,
8.2358e+00, 2.8391e+00, 1.0134e+00, 3.9331e+00, 5.0003e+00,
2.5495e+00, -1.5060e+00, 1.9288e+00, 6.2388e+00, -1.1439e-01,
1.0993e+01, 5.0739e-01, 1.8038e-01, 1.2867e+00, 8.4176e+00,
3.7053e+00, 6.9974e+00, -6.9006e-01, -5.5613e+00, 3.5913e+00,
6.9323e+00, 2.0603e+00, 5.5289e+00, 6.9384e+00, 9.1396e+00,
1.0627e+01, -2.0577e+00, 1.0101e+01, 3.8708e+00, -1.0628e+00,
-1.1778e+00, 2.9096e+00, 4.6555e-01, 3.0348e+00, 5.2168e+00,
1.2719e+01, 1.0204e+01, 1.0531e+01, -8.5914e-01, 1.5490e-01,
4.0697e+00, 8.4176e+00, 4.6673e-01, -3.1970e-01, 9.8603e+00,
9.9455e+00, 5.5101e+00, 8.9326e+00, 6.8982e+00, 1.7056e+00,
1.4089e+01, 6.8283e+00, 5.8335e-01, 2.3766e+00, 6.1915e+00,
-1.8804e-01, 3.1377e-01, 3.8521e+00, 2.4662e+00, 4.5409e+00,
-3.3400e+00, 5.1212e+00, 1.5552e+00, 2.8716e+00, 6.3285e+00,
9.8643e+00, 1.2161e+00, 1.1429e+00, -1.6547e-01, -6.7255e-01,
3.7712e+00, -6.3492e-02, 6.3928e+00, 3.2933e+00, 4.2349e+00,
5.3054e+00, 6.2617e+00, 4.5948e+00, 1.7616e+00, 2.5714e+00,
1.3368e+01, -3.9517e-01, 7.5030e+00, 1.2207e+00, 1.9582e+00,
8.7542e-01, -2.2549e+00, 7.5660e+00, 9.4256e+00, 2.2962e+00,
8.0365e+00, 3.0468e+00, 3.8175e+00, 1.1239e+01, 2.8870e+00,
4.4291e+00, 1.2489e+00, 1.2754e+01, 5.0992e+00, -2.2847e+00,
5.5897e+00, 8.3802e+00, 4.1270e+00, 3.3378e+00, 7.1129e+00,
7.5632e+00, 3.2792e+00, 4.0565e+00, 3.8526e+00, 6.4436e+00,
6.1711e+00, 3.1794e+00, 4.9637e+00, 5.0939e+00, 4.6548e+00,
8.8568e+00, 6.9357e+00, 1.7641e+00, 4.8324e+00, 3.1636e-01,
5.9838e+00, 7.0807e+00, 8.9091e+00, 8.3587e+00, 7.5595e+00,
2.6727e+00, 2.5542e+00, 3.7933e+00, 3.9882e+00, 1.0128e+01,
5.5575e+00, 6.9742e+00, 2.7521e+00, 6.5831e-01, 3.5171e+00,
3.8913e+00, -8.4814e+00, 7.6499e+00, 1.1879e+01, 6.4842e+00,
1.8110e+00, 6.6068e+00, 5.9124e+00, 4.6266e+00, 9.5506e+00,
1.2613e+00, 6.8491e+00, 1.3809e+00, 4.7300e+00, -3.6017e+00,
1.2959e+01, 9.3701e+00, 4.3727e+00, 5.4872e+00, 1.3131e+01,
8.8655e+00, 4.8467e+00, 8.0729e+00, 7.9140e+00, 3.5976e+00,
4.3385e+00, 1.1025e+00, 8.1103e+00, 2.4768e+00, 1.0532e+01,
3.5845e+00, 4.3771e+00, 2.0906e+00, 1.6844e+00, 7.0347e+00,
3.8315e-01, 2.4739e+00, 6.1010e+00, 8.5459e+00, 2.9301e+00,
5.7037e+00, 8.9139e+00, 7.9468e+00, 4.3261e+00, 1.9833e+00,
7.2611e+00, 4.3622e+00, 6.9264e+00, 2.6488e+00, 5.6285e+00,
1.1153e+01, 5.2541e+00, 8.8591e+00, -3.5490e+00, 6.9455e+00,
1.1980e+01, 1.0672e+01, 3.5957e+00, -1.1930e+00, 9.0231e+00,
7.5161e-01, 4.0272e+00, 6.1486e+00, 6.1534e+00, 1.0285e+00,
5.1413e+00, 1.0769e+00, 2.4731e+00, 5.6649e+00, 9.8085e-01,
-8.8830e+00, 4.2775e+00, 6.6365e+00, 6.4650e+00, 6.1282e+00,
1.3804e-01, -1.2350e+00, 6.3038e+00, 3.4925e+00, 8.9582e+00,
-1.9709e+00, 6.6648e+00, 6.4347e+00, 1.0972e+00, -1.8645e+00,
4.4147e-02, 2.0156e+00, 8.1496e+00, 1.8124e-01, 1.7077e+00,
2.5548e+00, -1.1706e+00, 1.0988e+00, 6.5513e+00, -1.0282e+00,
4.5195e+00, -1.1004e-02, 5.0867e+00, 9.9207e+00, 8.3251e+00,
4.2440e-01, -2.1175e+00, 3.1548e+00, 6.9519e+00, -1.6205e+00,
3.9437e+00, 3.8148e+00, 3.8933e+00, 1.4318e+01, 3.3332e+00,
-2.4222e+00, 4.4977e+00, 6.9984e+00, 3.9511e+00, 1.2539e+00,
4.1910e+00, 7.3932e+00, 1.0301e+01, -1.4558e+00, 6.5002e+00,
1.2915e+01, 6.2186e+00, 4.8572e+00, 9.8152e+00, 9.3573e+00,
8.9701e-01, 3.6523e+00, 6.3738e+00, 3.3181e+00, 2.5656e+00,
1.6625e+00, 3.2002e+00, 9.0365e-01, 6.6642e+00, 4.1564e+00,
4.7874e+00, 1.4947e+00, 1.1551e+01, 5.5309e+00, 1.1520e+00,
1.5544e+00, -2.9918e+00, 2.0256e+00, 6.1313e+00, 8.7914e+00,
6.8344e+00, 5.2083e+00, 1.7137e+00, 3.5319e+00, 7.2565e+00,
1.6200e+00, 5.5823e+00, 8.0517e+00, 6.4811e+00, 8.8925e+00,
7.4128e+00, 9.2561e+00, 6.6653e+00, 1.0270e+01, 6.6815e+00,
4.2938e+00, 6.0358e+00, 2.3187e+00, 1.3751e+00, 4.5787e+00,
2.9311e+00, 2.3381e+00, 5.0465e+00, 9.8912e+00, 5.5715e+00,
-1.7147e+00, 5.3842e-01, 3.3892e+00, 1.1349e+01, 5.8797e+00,
1.7608e+00, 5.3702e+00, 7.5625e+00, 1.9026e+00, 1.3699e+00,
5.8522e+00, 6.4909e+00, 8.9648e+00, 1.1222e+01, 7.7006e+00,
1.0567e+01, 5.9769e+00, 5.6493e+00, 5.1241e+00, 4.0145e+00,
-3.7737e+00, 2.8703e-01, -1.2362e+00, 3.3998e+00, 1.1722e+00,
-1.2771e+00, 2.8741e+00, 2.0854e+00, 5.1363e+00, 8.2821e+00,
7.0018e+00, 5.0151e+00, 4.6137e+00, -1.2588e+00, 3.0449e+00,
-2.3575e+00, 3.6337e+00, 1.5381e+00, -1.5207e+00, 1.3990e+00,
5.8938e+00, 1.1346e+00, 4.1362e+00, -4.7440e+00, 1.6453e+00,
2.7412e+00, 3.5828e+00, 2.1743e+00, -3.2341e-01, -9.9993e-01,
3.9801e+00, -1.4643e+00, 9.1779e+00, 3.6375e+00, -1.1146e+00,
-2.8642e+00, 8.0828e+00, 5.0478e+00, 5.3239e+00, 1.1181e+01,
3.2359e+00, 2.8007e+00, 7.3260e+00, 5.9000e+00, 6.0517e+00,
6.9218e+00, 7.4215e+00, 7.4120e+00, 6.5452e+00, -8.5889e-01,
7.2897e+00, 1.0047e+01, 7.1521e-01, 4.0624e+00, 3.3427e+00,
9.3454e+00, 5.4568e+00, 5.3026e+00, 3.4962e+00, -3.0946e+00,
1.9715e+00, 2.8674e+00, -1.7734e+00, 4.0342e+00, 2.0209e+00,
4.7403e+00, 2.6829e+00, 1.1420e+01, 3.4371e+00, 3.7435e+00,
1.1796e+00, 7.6579e-01, 8.6477e+00, 1.5210e+00, 1.2748e+01,
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