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([ 9.3910e+00, 3.6463e+00, 4.5379e+00, 1.0628e+01, -3.0676e+00,
-2.5783e+00, 3.8141e+00, 1.7285e-01, 1.2522e+01, 7.2375e+00,
1.7479e+00, 6.1676e+00, -8.3922e+00, -6.8108e-01, 5.0356e+00,
6.0544e+00, 1.9171e+00, 2.7552e+00, 3.5581e+00, 9.0512e+00,
3.0291e-01, 2.3103e+00, 9.4529e+00, 3.4220e+00, -1.3745e-01,
3.2791e+00, 4.5786e+00, -6.4339e-01, 1.4956e+00, 7.4200e+00,
4.0195e-01, -2.4146e+00, 1.0840e+01, -4.9548e+00, 3.8174e+00,
7.5059e+00, 3.9997e+00, 9.9165e+00, 5.4644e+00, 8.3569e+00,
3.1072e+00, 8.0813e+00, 1.6971e+00, -1.6913e+00, 7.4097e-01,
4.1224e-01, 4.6373e+00, 2.6921e+00, 2.4285e+00, 8.5896e+00,
1.5555e+00, 7.6308e+00, -2.7533e-01, 6.8202e+00, 6.8630e-01,
4.7311e+00, 9.7597e-01, 9.5642e-01, 1.7373e+00, -2.2339e-01,
4.6181e+00, 5.1665e+00, 5.2801e+00, 1.7798e+00, 7.1100e+00,
7.3755e+00, 9.6836e+00, 8.1975e+00, 3.5414e+00, 5.7395e+00,
5.9851e+00, 6.6112e+00, 5.7456e+00, 4.4104e+00, 2.7605e+00,
8.5292e-01, 4.0559e+00, 4.6134e+00, -9.0192e-01, 5.9827e+00,
1.8702e+00, 8.7470e+00, 4.2595e-01, 6.6748e+00, -2.1460e-01,
-1.8629e-01, 3.6129e+00, 6.0520e+00, 1.5594e+00, 1.2329e+00,
1.1970e+01, 4.5980e+00, 4.9577e+00, 4.0492e-01, 5.9149e+00,
6.5174e+00, 4.1315e+00, 5.9009e+00, 2.6229e+00, 1.1496e+01,
4.1609e+00, 3.9184e+00, 9.5421e+00, 8.9377e+00, 9.7159e-01,
-1.9294e+00, -3.9111e+00, 8.5929e+00, 3.4762e+00, 6.8613e-01,
3.3297e+00, 3.3269e+00, 8.5882e+00, 5.7329e+00, 3.9571e+00,
6.5203e+00, 2.4398e+00, 2.6186e+00, 4.1707e+00, 5.2026e+00,
9.5651e+00, 4.2399e+00, 4.9583e+00, 8.3934e+00, 1.0565e+01,
1.6533e-01, 2.9275e+00, 6.9534e+00, 1.0151e+01, -1.2081e+00,
-1.7801e+00, 3.2868e+00, -1.1478e+00, 2.0885e+00, 2.4204e+00,
6.3048e+00, -3.0923e+00, 4.0784e+00, 1.3370e+00, 1.7288e+00,
-1.6170e-01, -1.0683e+00, 6.1754e+00, 4.2864e+00, -1.6352e+00,
7.8316e+00, 1.5331e-01, 8.9665e+00, 9.9375e+00, 1.2125e+01,
9.6601e+00, 5.1799e+00, 5.4900e+00, 8.8425e+00, 7.2321e+00,
9.6677e+00, 6.0457e+00, 6.6652e+00, 2.0966e+00, 6.7963e+00,
4.9738e+00, 3.1490e+00, 5.4160e+00, 6.2494e+00, 2.1244e+00,
-2.3148e-01, 7.0334e+00, 1.5741e-01, 1.1140e+00, 8.9036e+00,
1.0003e+00, 5.2605e+00, 2.5535e+00, 1.0168e+01, 2.8069e+00,
7.7594e+00, 5.5368e+00, 5.3106e+00, 2.5612e+00, 3.2979e+00,
-9.8089e-01, 8.5242e+00, 1.0118e+01, -9.6977e-02, 1.4716e+00,
7.4304e+00, 1.0122e+01, 9.5628e-01, 3.6748e+00, 7.6551e+00,
8.1954e+00, 4.4924e+00, 7.6705e+00, 9.1144e+00, 1.0225e+01,
8.3587e+00, 6.0816e+00, 4.2159e+00, 3.8942e+00, 5.7537e+00,
8.3982e+00, 9.9181e+00, 7.4471e+00, 3.9847e+00, 1.0824e+00,
5.5926e+00, 6.4736e+00, 1.1681e+01, 2.4899e+00, -2.4025e+00,
1.7043e-01, -2.6976e+00, 3.4318e+00, -4.9398e+00, -2.9566e-01,
1.3957e+01, 1.2091e+00, -2.0703e+00, 1.1787e+01, 6.4638e+00,
4.0884e+00, 6.8613e+00, 4.0049e+00, 5.2010e+00, 3.1350e+00,
4.9716e-01, 7.7790e+00, 9.8551e-01, 7.8605e+00, 4.0283e+00,
4.0308e+00, 7.2281e+00, -5.0458e-01, -2.0622e+00, 7.3526e+00,
-9.4448e-01, 6.0255e+00, 2.9402e+00, 6.7431e+00, 1.2420e+00,
-2.1775e+00, -1.4095e+00, 8.4745e+00, 9.2593e+00, 6.2099e+00,
5.5066e+00, 9.5558e-01, 9.7803e+00, 8.3936e+00, 7.0249e+00,
4.4783e+00, 5.6468e+00, 2.0118e+00, -2.5047e-01, 6.1456e+00,
5.2985e+00, 1.6110e+01, 8.5549e+00, 9.9540e-01, 4.2503e+00,
8.3387e+00, -1.7815e+00, 5.3926e+00, 5.4270e+00, 9.7477e+00,
7.2832e-01, 4.2945e+00, 1.7867e+00, 9.0310e+00, 6.6146e+00,
-1.6422e+00, 2.4932e+00, 1.7298e+00, -6.7810e+00, 7.5067e+00,
1.5279e+00, 5.7550e+00, 1.4507e+00, -2.9787e-01, 2.6831e+00,
4.3242e+00, 9.4379e+00, -5.1316e+00, 6.9031e+00, 6.9396e+00,
1.0132e+01, 1.2478e+00, -4.4305e-01, 6.5438e-01, 2.2017e+00,
1.2018e+01, 6.9626e-01, 6.7619e+00, 1.0420e+00, 1.3123e+00,
4.4660e+00, 2.8742e+00, 5.9198e+00, 3.6371e+00, 4.9482e+00,
-5.4419e+00, 2.6958e-01, 3.6337e+00, 1.5082e+00, -5.1493e+00,
3.5332e-01, 5.2291e-01, 5.9803e+00, 4.0662e+00, -4.2361e-01,
5.1408e+00, 2.1840e+00, 4.3019e-01, 9.2390e+00, -1.2961e+00,
3.3133e+00, 6.8763e+00, 3.1870e+00, 5.9079e+00, 7.1879e+00,
3.5529e+00, -5.0814e+00, 8.3206e+00, 5.8442e+00, 1.3957e+01,
9.2200e+00, 8.3154e+00, 2.8462e+00, 7.4967e+00, -3.1369e-01,
8.0106e+00, 3.5290e+00, 2.6430e+00, 2.1753e+00, 5.4681e+00,
1.0434e+00, 4.4590e+00, 2.2379e+00, 2.6868e+00, 8.7966e+00,
-3.8689e-01, 2.5630e+00, 5.2570e+00, 4.5057e+00, 2.4929e+00,
-3.3448e-01, 2.4066e-01, 5.1192e+00, 1.2107e+01, 5.2340e+00,
-1.0868e+00, 3.9068e+00, 1.6034e+00, 3.3359e+00, 4.4505e+00,
3.9065e+00, 4.8776e+00, 1.3393e+01, 2.9198e+00, 3.5968e+00,
2.9472e+00, 3.3864e+00, 6.2105e+00, -3.1747e+00, 7.0096e+00,
2.2043e+00, 2.2660e+00, 4.6964e+00, 7.8220e-01, -1.3668e+00,
-4.6972e+00, 8.6984e+00, 6.6832e-01, 1.2116e+01, 1.1459e+01,
-1.6143e+00, 5.8981e+00, 3.6181e+00, 8.8860e+00, 1.9814e-01,
-4.2476e+00, 5.4593e-01, 1.0103e+00, 4.7074e+00, 1.0846e+01,
6.3443e+00, 8.0683e+00, 9.4812e+00, 2.5149e+00, 6.0395e+00,
-4.1477e-01, 4.2403e+00, 4.7753e+00, 3.2651e+00, -8.8652e-01,
6.6078e-01, 3.8812e+00, 4.8137e+00, 5.0932e+00, 2.2062e+00,
4.3813e+00, 7.7261e+00, 5.2972e+00, 3.9683e+00, 2.9868e+00,
-3.1202e-01, 5.8510e+00, 2.4028e+00, 3.3676e+00, 1.2410e+00,
8.9542e+00, -2.4485e+00, 2.5508e+00, -2.1715e+00, -8.6844e+00,
2.5331e+00, -4.3032e+00, 7.1626e+00, 2.2497e+00, 6.5137e+00,
3.7335e+00, 5.5616e+00, 2.3892e+00, 2.7290e+00, -5.8348e+00,
-5.4644e+00, 4.5057e+00, 8.4609e+00, -3.3843e+00, 3.1707e-01,
1.5476e+00, 2.3913e+00, -4.4954e-02, 4.3761e+00, -8.2839e-02,
3.6674e+00, 4.2113e+00, 3.7124e+00, 3.8790e+00, 2.5218e+00,
7.1249e+00, 3.0214e+00, 1.9917e+00, 1.4850e+00, 7.7832e+00,
8.3176e+00, 8.2501e+00, 8.2007e+00, 5.4913e+00, 2.8792e-01,
2.8847e+00, 1.1983e+01, 3.8084e+00, 4.2707e+00, 3.0986e+00,
6.0474e+00, 1.9788e+00, 4.3849e+00, 1.5986e+00, 3.6054e+00,
3.6037e+00, 1.1726e+01, 1.0936e+01, 6.4522e+00, 1.0890e+01,
-3.7781e+00, 6.2028e+00, 5.3935e+00, 1.0151e+01, 4.4619e+00,
-4.0167e+00, 6.8759e+00, 3.0019e+00, 5.3817e+00, 2.5717e+00,
1.5960e+01, 3.4484e+00, 1.4152e+00, 1.0797e+01, 3.8369e+00,
7.4960e+00, -6.0460e-01, 5.1285e+00, 2.0571e+00, 4.0567e+00,
4.1971e+00, 7.6146e+00, 5.3178e+00, 5.9834e+00, 7.4834e+00,
1.9521e+00, 8.0143e+00, 3.6463e+00, 1.2679e+01, -1.1626e+00,
2.6610e+00, 5.6225e+00, 2.6319e+00, 1.0339e+01, 1.1451e+01,
4.4491e+00, 2.0282e+00, 8.6735e+00, 1.0155e+01, 1.1997e+01,
4.5307e+00, 1.5682e+01, 3.4857e+00, -1.5691e-01, 4.0569e-01,
5.9681e+00, 5.8549e-01, 6.0353e+00, 2.8781e+00, 3.9022e+00,
3.7304e+00, 9.6522e+00, 9.3134e+00, 8.2876e+00, 2.5979e+00,
2.0689e-02, -4.7752e+00, 2.3397e-01, 7.6722e+00, 3.0787e+00,
6.3900e+00, 5.5710e+00, 2.3301e+00, 9.6049e+00, 8.4671e+00,
4.2064e+00, 9.4621e+00, 9.8009e+00, 1.2833e+00, 8.7223e+00,
4.2468e+00, -3.5599e-02, 2.3438e+00, 8.3571e+00, 2.5416e+00,
-7.7609e-01, 1.7919e+00, 4.0481e+00, 2.7385e+00, 5.9270e+00,
9.8819e+00, 1.9450e+00, 4.8462e+00, -9.3802e-01, 6.9600e+00,
-1.6316e-01, 5.1814e+00, -5.7637e+00, 3.8859e+00, 7.3990e+00,
4.5597e+00, 7.5662e+00, 6.5434e+00, 4.2004e+00, 6.0943e+00,
6.1792e+00, 2.7396e+00, 5.3388e+00, 7.0924e+00, 1.6824e+00,
6.1319e+00, 2.1188e+00, 1.2724e+01, 8.3875e+00, 6.9756e+00,
-5.1477e-01, 3.1330e+00, 6.3397e+00, 4.3833e+00, 5.7131e+00,
1.1772e+01, 1.7587e+00, 4.8179e+00, 7.9435e+00, 5.5303e+00,
5.8392e+00, 1.1383e+01, 5.6536e+00, 3.5487e+00, -1.6380e+00,
-4.6982e+00, 1.0899e+01, 3.5066e+00, 1.6236e+00, 7.4673e+00,
1.0255e+00, 4.0808e+00, 3.3368e+00, -1.0236e+00, 1.2625e+01,
-1.3387e+00, 2.3446e+00, 3.3586e+00, 6.6342e+00, 5.7768e+00,
9.0653e+00, 8.1414e+00, 8.8771e+00, 4.4019e+00, 7.6883e+00,
6.4577e+00, 8.3485e+00, 1.2736e+01, 4.2306e+00, 5.5936e+00,
7.6804e+00, 2.9430e+00, 6.7353e+00, 9.8066e-01, 3.2055e+00,
1.3476e+00, 7.5647e+00, -1.8126e+00, -2.9471e+00, 5.6616e+00,
1.7224e+00, 8.7692e+00, 7.9790e+00, 1.0145e+01, -3.5840e+00,
5.9221e+00, 5.7394e-01, 5.5511e+00, 2.5817e+00, -2.5728e+00,
6.3243e+00, 1.0157e+01, 4.9175e+00, 7.2890e+00, -4.9364e-01,
1.4279e+01, 7.1839e+00, 1.2499e+00, 5.7143e+00, 8.1935e+00,
9.9804e+00, 8.2209e+00, -3.9507e+00, 2.8999e-01, 5.2902e+00,
3.6858e+00, 9.8107e-01, -5.1965e+00, -2.2708e-02, -5.2105e-01,
-2.9165e+00, 3.0669e+00, 5.7150e+00, 3.2251e+00, 8.3505e+00,
1.2982e+00, -5.2331e+00, 6.2752e+00, 4.5034e+00, 4.2575e+00,
8.7604e-02, 6.7349e+00, 1.8515e+00, -2.7667e-01, -4.4933e+00,
1.0564e+01, 4.7346e+00, 5.8366e+00, 2.6844e+00, 1.0927e+00,
3.1951e+00, 7.8895e+00, 3.4890e+00, 2.2100e+00, -6.2742e+00,
8.3406e+00, 7.2475e+00, 6.6718e+00, 4.4655e+00, 1.1956e+01,
8.8555e+00, 6.6663e-01, 3.4600e+00, 6.0791e+00, 2.9571e+00,
7.9097e+00, 6.5524e+00, 5.0347e+00, 5.3920e+00, 1.1962e+01,
9.1899e+00, -2.9796e+00, -1.5160e+00, 4.6095e+00, 1.6824e+00,
1.1531e+01, 6.3497e+00, 7.9342e+00, 8.8920e-01, 3.9356e+00,
2.8434e+00, 3.3933e+00, 1.5888e+00, 4.3775e+00, 6.0910e-01,
3.5702e+00, 2.9208e+00, 3.2796e+00, 2.4769e+00, -8.8868e-01,
2.2371e+00, 4.1302e+00, 3.4660e+00, 2.5509e+00, 5.6532e+00,
8.5912e+00, 5.6743e-01, -1.2834e+00, 2.1839e+00, 1.5710e+00,
6.1612e+00, 3.0325e+00, -1.9935e+00, 6.1765e-02, 7.8360e+00,
8.4672e+00, 3.1817e+00, 7.6683e+00, 7.1307e+00, 1.0541e+01,
-3.1593e+00, 8.7310e+00, -1.3903e+00, -2.8871e+00, 2.9730e+00,
2.8498e+00, 6.2631e+00, 8.3476e-01, 1.2212e+00, 2.8533e+00,
5.4020e+00, -3.2458e+00, 4.6562e+00, -1.7852e+00, 2.8612e+00,
3.6934e+00, 5.9106e+00, 7.5514e+00, 1.0076e+01, -2.1726e+00,
4.4809e+00, 4.4783e+00, 7.0596e+00, 2.3858e-01, 4.8439e+00,
-2.3723e+00, 1.6071e+00, 3.6186e+00, 9.4666e+00, -4.8750e+00,
-3.4768e-01, 1.5201e+00, 6.0265e+00, -2.7023e+00, 7.0703e-01,
1.4886e+00, 4.6137e+00, 2.5571e+00, 9.1164e+00, 2.1813e+00,
2.4251e+00, -5.4174e+00, 3.0370e+00, 6.7013e+00, 9.3473e+00,
8.4479e+00, 4.4807e+00, 3.9912e+00, 5.6223e+00, 5.9864e+00,
-5.5813e-01, 4.2693e+00, 1.0716e+01, 2.8494e+00, 7.7159e+00,
5.1601e+00, 4.8571e-01, 5.5176e+00, 6.6519e+00, 5.1358e+00,
-3.0026e+00, -5.1955e-01, 1.0297e+01, -8.9967e-02, -1.5106e+00,
-1.1321e+00, 2.8333e+00, 6.1228e+00, 9.6462e+00, 2.3384e+00,
5.3950e+00, 4.4062e+00, 1.0180e+01, 4.3470e+00, 2.7872e+00,
1.8611e+00, 2.5134e+00, 5.7156e+00, -6.9156e-01, 4.5747e+00,
9.7850e+00, 3.7372e+00, 1.2928e-02, 3.2591e+00, 2.5492e+00,
6.6300e+00, 4.5103e+00, 7.5360e+00, 4.4841e+00, 2.6863e-01,
4.1175e+00, 3.8141e+00, 8.5683e+00, 5.7411e+00, -1.8767e+00,
3.3068e+00, 7.5902e+00, 1.7992e+00, 6.4096e+00, -1.4747e+00,
7.5955e-01, -1.1165e+00, -8.3351e-01, 8.0473e+00, 7.0206e+00,
2.7854e-01, 8.3425e+00, 1.2732e+01, 3.6333e+00, 3.9375e+00,
-3.1737e+00, 5.8484e+00, 1.1025e+01, 2.4318e+00, 2.4235e+00,
2.0651e+00, 3.0804e+00, 3.7958e-01, 1.0392e+01, 1.9037e+00,
5.9838e+00, 3.1991e+00, 1.2407e+01, 2.3793e+00, 9.9795e+00,
6.2982e+00, 7.5077e+00, 8.1641e+00, 6.9588e+00, 6.0153e+00,
4.6290e+00, 5.7888e-01, 4.9759e+00, 5.1604e+00, 1.4878e+00,
1.3879e+00, -3.3612e-03, 4.7251e+00, 1.4042e+00, 7.6185e+00,
4.6528e+00, -5.5974e-01, 4.1485e+00, 6.0415e+00, 3.7076e-02,
-2.8002e-01, 3.6932e+00, 3.8383e+00, 1.3709e+00, 4.6547e+00,
-1.0284e+00, -3.8996e+00, 3.6553e+00, 6.7843e+00, 7.4686e+00,
4.0237e+00, 7.1377e+00, -1.1221e+00, 4.1713e+00, 1.0945e+00,
6.8784e+00, 5.7325e+00, 4.2118e+00, 3.8307e+00, -1.9557e+00,
6.4028e+00, 1.4229e+00, 1.1147e+01, 2.1697e-01, 7.1066e+00,
1.0422e+01, 5.8440e+00, 4.7316e+00, 6.0332e+00, 7.1857e+00,
1.6228e+01, 8.0710e+00, 4.8227e+00, -1.9242e+00, 1.3944e+00,
2.2093e+00, 1.1174e+01, -2.6797e+00, 4.4563e+00, 1.4998e+00,
8.7097e+00, 4.7602e+00, 8.2786e+00, 2.3423e+00, -1.1977e+00,
-5.4601e+00, 9.3126e+00, 6.5522e+00, 5.5415e+00, 9.4498e+00,
8.4900e+00, 4.9120e+00, 2.9287e+00, 3.2775e+00, 7.3237e+00,
4.5565e+00, 5.7191e+00, 6.1996e+00, -2.6642e+00, 1.6862e-01,
5.5764e+00, 2.4458e+00, 8.3643e+00, 6.5782e-01, 6.1868e+00,
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1.0888e+01, -1.0680e+00, -1.2206e+00, 6.3811e+00, 4.1526e+00,
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4.9932e-01, -2.0461e+00, 6.6173e+00, 1.8805e+00, -3.0255e+00,
1.1837e+01, 2.4930e+00, 3.3906e+00, 1.1015e+01, 9.3018e+00])