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Logistic regression example with PyTorch (Marc Lelarge's class "Deep Learning Do-it-Yourself")
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| import torch | |
| import numpy as np | |
| from scipy.stats import bernoulli | |
| from scipy.special import expit | |
| dtype = torch.FloatTensor | |
| # Model | |
| w_source = np.array([2., -3.]) | |
| b_source = np.array([1.]) | |
| # Data generation | |
| x = np.random.random((100,2)) | |
| y = bernoulli.rvs(expit(np.dot(x, w_source) + b_source)) | |
| # Convert to tensors | |
| x_t = torch.from_numpy(x).type(dtype) | |
| y_t = torch.from_numpy(y).type(dtype).unsqueeze(1) # Add 1D for compatibility with the BCELoss | |
| # Init model with sigmoid output | |
| model = torch.nn.Sequential( | |
| torch.nn.Linear(2, 1), | |
| torch.nn.Sigmoid() | |
| ) | |
| model.train() | |
| loss_fn = torch.nn.BCELoss() # Binary cross-entropy loss | |
| optimizer = torch.optim.SGD(model.parameters(), lr=0.01) # PyTorch automatically detects weights to optimize | |
| for epoch in range(1000): | |
| y_pred = model(x_t) | |
| # The loss function is expecting 1D float tensors for both ground truth and predictions | |
| loss = loss_fn(y_pred, y_t) | |
| if epoch % 100 == 0: | |
| print("progress:", "epoch:", epoch, "loss",loss.item()) | |
| # Zero gradients, perform a backward pass, and update the weights. | |
| optimizer.zero_grad() | |
| loss.backward() | |
| optimizer.step() | |
| print("estimation of the parameters:") | |
| for param in model.parameters(): | |
| print(param) |
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