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([ 1.5155e+00, 2.5159e+00, -4.7721e-01, 4.2631e+00, 5.5571e+00,
-2.0366e+00, 8.8095e+00, 4.3449e+00, -6.3710e-03, 3.1130e+00,
2.5257e+00, 6.8218e+00, 4.0516e+00, 1.3895e+00, 3.2285e+00,
2.2649e+00, -5.6966e+00, 4.3563e+00, 4.1608e+00, 3.9191e+00,
2.9248e+00, 1.4283e+00, 7.0282e+00, 7.8112e+00, 2.2465e+00,
1.6021e+00, 7.5424e+00, 7.4619e+00, 1.1257e+00, 1.2088e+01,
-7.1860e-01, 2.2883e+00, 2.8822e-01, 6.7184e+00, 2.8423e+00,
1.2077e+01, -4.4317e+00, -2.0772e+00, 6.7896e+00, 6.5468e-01,
4.8400e+00, 4.5392e-01, 5.2321e+00, 3.0468e+00, 1.2087e+01,
1.2976e+00, 9.2901e+00, 7.6077e+00, 1.2924e+00, 6.7478e+00,
3.6524e+00, -1.5192e+00, 2.6931e-01, 8.7465e+00, 4.0979e+00,
3.1348e+00, 1.2177e+00, -2.2698e+00, 6.3479e-01, 5.6775e+00,
5.4070e-02, 5.6914e+00, 2.0498e+00, -1.3071e+00, 4.0745e+00,
5.9004e+00, 3.4423e+00, 4.2828e+00, 8.9808e+00, 3.2041e+00,
9.9864e+00, 5.5425e+00, 2.6869e+00, 6.7037e+00, 1.9481e+00,
2.6330e+00, 6.6180e+00, 9.6269e+00, 5.8402e+00, 3.4887e+00,
6.7783e+00, 3.7153e-01, 5.6369e+00, -3.7723e+00, 4.5732e+00,
5.4933e+00, 8.7657e+00, -1.4103e+00, 4.7612e-01, 1.1248e+00,
1.2473e+01, 8.0082e+00, 3.7845e+00, 6.3955e+00, 1.7461e+00,
1.3758e+00, -1.4982e+00, -8.5298e-01, 5.8901e+00, 6.1994e+00,
8.0371e+00, 2.5930e+00, 2.1342e+00, 6.7650e+00, 7.7315e+00,
4.8874e+00, -5.1029e+00, -2.9486e+00, -1.7192e+00, -8.7201e-01,
3.3884e+00, 1.0255e+01, 5.1648e+00, 1.3463e+01, -6.1218e-01,
7.2419e+00, 1.0668e+01, 3.6321e+00, 8.2857e+00, 3.7653e+00,
9.8280e+00, 6.7659e+00, -4.2032e+00, -3.6893e-01, 8.6492e+00,
2.9355e+00, -5.6927e-01, 2.8100e+00, -2.6885e+00, 8.5532e-01,
-2.2902e+00, 4.2111e+00, -6.4140e-01, 2.8952e+00, 9.0203e+00,
7.3646e+00, 3.8389e+00, 8.6855e+00, 8.2455e+00, 9.5468e+00,
2.4407e+00, 8.1316e+00, 5.2892e+00, 4.0698e+00, 9.6687e+00,
-7.0542e-02, 4.1158e+00, 5.5048e+00, 4.1971e+00, 4.7919e+00,
9.2749e+00, 4.5310e+00, 9.1122e+00, 2.0163e+00, 8.3804e+00,
5.7845e+00, 8.3384e+00, 1.1779e+01, 9.4574e+00, 4.2705e+00,
3.0511e+00, 9.0905e+00, 9.7384e+00, -3.7845e+00, 1.0141e+01,
1.0589e+01, 7.5515e+00, 2.4432e+00, 7.4614e+00, 4.6743e+00,
3.0650e+00, 3.6797e+00, 2.5105e+00, -2.1548e+00, -4.2095e-01,
7.3590e+00, 1.7389e+00, -5.5587e+00, 5.1342e+00, 4.1943e+00,
3.0771e+00, -1.6831e+00, 3.4473e+00, 9.9928e+00, 6.2434e+00,
2.6036e-01, 9.0087e+00, 7.6408e+00, 2.5850e+00, -4.8009e+00,
2.0166e+00, -2.8029e+00, 4.5983e+00, 8.3093e+00, 4.5704e-01,
4.5585e+00, 8.5441e+00, 6.2608e+00, 8.1324e+00, 4.6281e+00,
5.9037e+00, 1.2701e+01, 5.8832e-01, 2.4913e+00, 1.1748e+01,
1.0847e-01, 5.3911e+00, 1.0864e-01, 2.3300e+00, 8.7759e+00,
1.7019e+00, 7.0659e-01, 1.0519e+01, -1.0123e+00, -7.3321e-02,
-1.2179e+00, 1.1622e+01, 8.5840e+00, 1.0250e+01, 3.4501e+00,
4.6669e-01, 1.1260e+01, 4.1858e+00, 1.8801e+00, -2.5138e+00,
4.6483e+00, 1.8272e+00, 2.9033e+00, 3.6973e+00, -1.7329e+00,
2.3129e+00, 1.5406e+00, 1.0068e+01, 1.6656e+00, -3.7109e+00,
4.5971e+00, 3.2986e+00, 6.7161e+00, 3.1461e+00, -1.3196e+00,
8.2856e-01, 6.8960e+00, 7.0238e+00, 2.4367e+00, 4.9079e+00,
5.9120e+00, -1.2816e+00, 2.9537e+00, 4.1722e+00, 1.1391e+01,
4.3921e+00, 1.0580e+01, 4.2049e+00, 4.3067e+00, 5.2432e+00,
2.0285e+00, 4.9968e+00, 1.4071e+00, -4.0973e-01, 4.4319e+00,
-1.3866e+00, 1.7285e+00, 2.4017e+00, 2.5505e+00, -1.7765e+00,
6.4156e+00, -3.8597e+00, 3.0522e-01, 8.5046e+00, -3.0596e+00,
8.5585e-01, 7.1339e+00, 6.8515e+00, 7.4323e+00, 4.9080e+00,
3.2506e+00, 9.6203e+00, -1.9370e+00, -2.5691e+00, 4.5410e+00,
1.6057e+00, 8.2213e+00, 5.9239e+00, 8.2826e-01, 1.0678e+01,
-1.9585e+00, 6.8751e+00, 9.7065e+00, -1.0770e+00, 2.0853e+00,
5.1298e+00, 5.7724e+00, 3.8012e+00, 8.1134e-01, 9.8118e+00,
2.5886e+00, -2.6686e+00, 3.7005e+00, 4.9225e+00, 3.3569e+00,
1.0588e+00, 8.8949e+00, 4.7218e+00, 4.4370e+00, 2.2404e+00,
3.0963e+00, 1.2403e+01, 7.7327e+00, 2.5726e+00, 7.4017e+00,
2.9951e+00, 4.8737e+00, 4.4579e+00, 2.2162e+00, 7.4309e+00,
5.2681e+00, -4.2074e+00, 8.8411e+00, 6.5685e+00, 1.0565e+01,
6.4361e+00, 5.6568e+00, -6.6984e-01, 9.7495e+00, 4.6765e+00,
4.7174e+00, 6.0274e+00, 7.3052e-01, 2.8634e+00, 4.3409e+00,
5.0563e+00, 6.6374e-01, 4.6477e+00, 8.9529e+00, 7.2615e+00,
1.7798e+00, 7.4227e+00, 8.2483e+00, 9.6006e+00, 3.7333e+00,
1.9035e+00, 8.9252e+00, -2.9921e+00, -3.1988e+00, 1.5569e+00,
4.5282e+00, 1.3786e+00, 4.8587e+00, 4.6989e+00, 8.1235e+00,
1.7509e+00, 3.1115e-01, 7.6582e+00, 5.7561e+00, -6.8837e-01,
-2.2680e+00, 4.6194e+00, 4.3493e+00, 2.2307e+00, 6.4572e+00,
3.3157e+00, 1.1704e+01, 1.0427e+01, 1.6671e+00, -8.5014e-01,
7.8442e+00, -1.1318e+00, 4.5835e+00, 3.0543e+00, 9.2412e+00,
-8.1021e-01, 4.8855e+00, 7.7519e-02, 9.6085e+00, 1.1604e+01,
8.0013e+00, 3.7215e+00, 1.6337e+00, 9.1372e+00, 1.0556e+01,
7.0946e+00, 9.4726e+00, 3.1591e+00, 1.6834e+00, 7.4092e+00,
7.6926e+00, 2.8496e+00, 7.6874e+00, 7.1784e+00, 4.4475e+00,
-2.4069e+00, 1.8774e+00, 2.7238e+00, 6.2191e+00, -3.5535e+00,
1.5226e+01, -4.1117e+00, 3.0818e+00, -1.7982e+00, 2.0360e+00,
5.7937e+00, 1.1358e+01, 6.6973e+00, 1.0070e+00, 6.6890e+00,
2.2247e+00, 4.7083e+00, 7.0884e-01, 4.9310e-01, 6.4377e+00,
2.3786e+00, 1.1806e-01, -3.3875e+00, 4.8865e+00, 4.3418e+00,
3.5571e+00, 9.6810e+00, 6.7636e+00, 1.2701e+01, 5.6403e+00,
5.5436e+00, 5.1805e-01, 7.7228e+00, 4.7175e+00, 1.7305e+00,
6.8131e-01, 1.9667e+00, -2.5653e+00, -3.2664e+00, 1.1711e+01,
9.7890e+00, 2.5587e+00, 6.3787e+00, 8.3034e+00, 5.5790e+00,
3.8287e-01, 7.8141e+00, 9.8087e+00, 8.9269e-01, 5.6734e+00,
7.6379e+00, 1.3314e+01, 4.0592e+00, 5.2090e+00, 4.1336e+00,
5.9095e+00, -1.6845e+00, 5.3227e+00, 4.0723e+00, 8.4984e+00,
5.6931e+00, 5.2018e+00, 1.0037e+01, 6.8649e+00, 6.3762e+00,
5.5660e+00, 9.4641e+00, 2.7494e+00, 2.9750e+00, -9.4422e-01,
2.7011e+00, -4.2667e-01, -1.0258e+00, 7.5701e+00, 6.1535e+00,
2.8489e+00, 5.1939e+00, 2.8975e+00, 6.6322e+00, 5.5360e-01,
8.9918e+00, 1.5407e+01, 1.5847e+00, 8.6042e+00, 4.3903e+00,
1.0463e+01, 8.3233e+00, 9.1589e+00, 7.0592e+00, 1.3794e+00,
2.4175e+00, 7.4523e+00, 1.8596e+00, 9.7404e+00, 5.8474e+00,
4.6569e+00, 5.1460e+00, 6.2494e-01, 5.0916e+00, 7.7493e+00,
2.2050e+00, -4.7043e+00, -2.5267e+00, 9.0437e+00, 3.2816e+00,
1.8058e+00, -1.2188e+00, 9.5780e+00, 2.1029e-02, 2.4650e+00,
1.0103e+01, 5.3098e+00, 7.7253e+00, 6.5316e+00, 1.1138e+01,
1.7885e+00, 1.3061e+01, 6.2880e+00, -2.8147e+00, -5.1226e-01,
8.2079e+00, -2.9254e+00, -4.4346e+00, 8.6043e+00, 4.6594e+00,
4.0115e+00, 8.4843e+00, 2.5802e+00, 2.8044e+00, 1.2259e+00,
1.0287e+01, 1.2378e+01, 5.5268e+00, 6.7247e-01, 4.7194e+00,
-3.5654e+00, -4.2324e+00, -1.9214e-02, 3.9706e+00, -5.7546e-01,
1.1322e+00, 3.3077e+00, -5.7408e+00, 2.7227e+00, 3.3966e+00,
4.8431e+00, 7.5766e+00, 3.6355e+00, 4.1795e+00, 8.5443e+00,
2.6548e+00, 1.1224e+01, -2.6587e+00, 7.8720e+00, 2.9656e+00,
4.2518e-01, 9.0950e+00, 6.5125e+00, -2.5454e+00, 1.3034e+01,
7.2486e+00, 1.1285e+00, 5.9891e-02, -4.7399e-01, 5.5526e+00,
1.5804e+01, 2.7533e+00, 1.4741e-01, 8.7893e-01, 5.4333e-01,
8.6456e+00, 5.3563e+00, 4.5438e+00, 1.1746e+00, -2.3008e+00,
6.2561e+00, 2.5309e+00, 9.0806e+00, 8.7450e+00, 3.4887e+00,
2.3344e+00, 6.5545e+00, -4.3733e-01, 2.3263e+00, 4.5804e+00,
-1.7500e+00, -8.0607e-02, 3.0787e+00, 2.6709e+00, 6.6869e+00,
3.2466e+00, 1.1100e+01, 1.8125e+00, 5.9496e+00, 2.3706e-01,
2.1297e+00, -7.3636e-01, 9.2665e+00, -5.3181e-01, 8.3611e+00,
1.3276e+00, 4.6655e+00, 7.8029e+00, 8.6678e+00, 4.0951e+00,
1.9437e+00, 5.3442e+00, 9.2943e+00, 4.4699e+00, 5.6708e+00,
1.0411e+01, 1.3265e+01, 3.0062e+00, 5.5413e+00, -3.1547e-01,
1.4081e+01, 2.3923e-01, 7.6408e+00, -1.9675e+00, 6.6704e+00,
2.3434e+00, 2.8340e+00, 2.5743e+00, 1.0425e+01, 7.7651e+00,
4.2655e+00, 4.3229e+00, 3.3200e+00, 7.6975e+00, 5.2823e+00,
2.2825e+00, 4.0018e+00, 1.2286e+00, 6.8803e+00, 8.0758e+00,
4.2641e+00, 1.2905e+01, 3.6259e+00, 6.8471e+00, 6.7916e+00,
3.5901e+00, 2.6847e-01, 6.3000e+00, 9.7851e+00, -2.8520e+00,
1.2703e+00, 1.2381e+01, 3.6104e+00, 3.4345e+00, 6.4867e+00,
6.9241e+00, 6.2413e+00, 3.1281e+00, 8.6509e+00, 7.9985e+00,
3.5395e+00, 2.2762e+00, 1.0478e+01, -1.8401e+00, 3.3917e-01,
2.4062e+00, 5.6498e-01, -3.4856e+00, 5.0841e+00, 2.4541e+00,
2.4888e+00, 3.9738e+00, 3.1630e+00, 5.4614e+00, 3.0399e+00,
9.0030e+00, 6.1623e+00, 1.0965e+01, 1.1671e+01, 5.7218e+00,
-5.7584e-01, 2.7013e+00, 7.8328e+00, 1.0445e+00, 5.5469e+00,
3.4884e+00, -1.7965e+00, 1.1557e+01, 4.1444e+00, -1.9666e+00,
2.2697e+00, -1.6774e-02, -1.8478e+00, 3.3886e+00, 2.9302e+00,
7.1722e+00, 6.2253e+00, 7.1344e+00, -1.3232e+00, 4.8268e+00,
3.5138e+00, 3.5291e+00, 4.2307e+00, 9.5542e+00, 9.1950e-01,
9.4876e+00, 6.6506e+00, 3.8162e+00, 4.6597e+00, 1.6232e+00,
5.9657e+00, 8.5667e+00, 8.9427e-01, 5.4127e+00, 7.0024e+00,
1.3799e-01, 8.9763e+00, 1.7245e+00, 5.1453e+00, 5.6977e+00,
5.5139e-01, 3.3094e+00, 3.9420e-01, 6.8544e+00, 7.7775e+00,
6.2660e+00, 2.7832e+00, 3.7762e+00, -5.2730e-01, -6.1577e-01,
8.7663e+00, 7.4977e+00, -2.8144e+00, 8.5487e+00, 1.8861e+00,
9.7686e+00, 2.3420e+00, 7.1857e+00, -1.2485e+00, 6.7817e+00,
1.9415e+00, 1.2005e+01, -2.3292e+00, 9.3291e-01, -2.5506e+00,
5.3573e+00, 4.4193e+00, 9.5143e+00, 8.1314e+00, 1.4508e+01,
8.5992e-01, 8.7445e+00, 5.4032e+00, 6.1884e+00, 4.1102e+00,
1.8841e+00, 2.0376e+00, 9.4014e-02, 3.2794e+00, 5.0239e+00,
9.6984e+00, -1.4802e+00, 1.9785e+00, 2.4519e+00, 5.3263e+00,
1.5201e+00, -3.3383e-01, -3.5468e+00, 6.5452e+00, 7.7473e+00,
4.2667e+00, 5.0670e+00, 9.3995e+00, 2.8062e+00, 4.7074e+00,
8.0939e+00, 5.4510e+00, -2.2368e+00, 3.2565e+00, 4.5355e+00,
1.1706e+01, 2.8092e+00, 7.5148e-01, 8.8784e-01, -6.2732e+00,
3.5047e+00, 9.7349e+00, 4.5564e+00, 3.1334e+00, -3.8440e+00,
1.2370e+01, 1.1777e+00, 4.2689e+00, 3.5788e+00, -4.0398e-01,
2.9643e+00, -1.0079e+00, 1.4452e+00, 2.7214e+00, 4.1228e+00,
6.1217e+00, 2.7918e+00, 4.0705e-01, 1.4267e+01, 3.6822e+00,
-4.6873e+00, 4.8190e+00, 2.5299e+00, 5.0762e+00, -6.3267e+00,
1.7328e+00, 7.1314e+00, 6.0880e+00, 8.1776e-01, 3.7505e+00,
-3.1931e+00, 5.7360e-01, 1.3243e+00, 3.7348e+00, -6.4673e+00,
3.2012e+00, 5.0231e+00, 8.7408e+00, 9.9152e+00, 4.6285e+00,
3.9734e+00, 4.3938e+00, 1.1135e+00, 3.0901e+00, 9.0204e+00,
3.8358e+00, 6.9584e+00, 2.2618e+00, 3.0287e+00, 6.2825e+00,
7.7375e+00, 2.2889e+00, 9.4978e+00, 1.5331e+00, -7.2899e-01,
1.2033e+00, 2.7158e+00, 1.8642e+00, 1.8063e+00, -8.0998e-01,
-2.4989e+00, 8.2907e+00, 4.8188e+00, 6.8195e+00, 4.0714e+00,
9.2875e-01, 4.0919e+00, 4.6670e+00, 1.5665e+00, 7.7566e+00,
7.1786e+00, 1.1154e+01, 8.2255e+00, 3.2416e+00, 5.0054e+00,
3.5681e+00, 5.3130e+00, 6.5287e+00, -2.5260e+00, 4.2878e+00,
6.4519e+00, 6.8854e+00, 2.3860e+00, 8.3893e+00, 6.0768e+00,
6.4309e+00, 7.3918e+00, 8.5761e+00, 1.1136e+00, 4.1600e+00,
6.6610e+00, -1.5055e+00, -5.6011e+00, 5.7012e+00, 4.1165e+00,
6.5797e+00, -1.4508e+00, -1.1256e+00, -3.4919e+00, 6.2004e+00,
1.0700e+01, 3.9573e+00, 4.5119e+00, 5.3501e+00, 8.0782e+00,
5.6821e+00, 1.1259e+00, 2.4759e+00, 7.1893e+00, -6.1090e+00,
-1.3448e+00, 1.0211e+01, 4.3035e+00, 5.4645e+00, -2.9056e+00,
4.9030e+00, 6.4353e+00, 1.9762e+00, 8.3358e+00, 7.2138e+00,
-7.7169e-01, -3.6802e+00, 2.0003e+00, 8.8170e+00, 1.3524e+00,
1.7122e+00, 6.1526e-01, 8.4881e+00, -7.1586e-01, 2.4554e+00,
7.0035e+00, 4.2372e-01, 7.5047e+00, 8.9237e-01, 9.5494e+00,
2.6058e+00, -1.2327e-01, 2.4325e+00, 7.6158e+00, 6.7378e+00,
3.2242e+00, 7.6589e+00, 7.9768e+00, 9.3375e+00, 3.1339e+00,
5.6536e+00, 4.2912e+00, -2.3762e+00, 1.2843e+00, -3.0787e-01,
7.4058e-01, 4.6719e-01, 7.6727e+00, 1.0692e+01, 1.1390e+01,
9.5596e+00, 4.1170e-01, -1.0832e-01, 1.7154e+00, 2.0617e+00,
5.4850e+00, 1.3598e+01, 1.8222e+00, 3.9711e+00, 4.0794e+00,
-3.2162e+00, -8.1225e-01, 3.6451e+00, 6.3822e+00, 5.7103e+00,
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