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+X[:N//2,:] = X[:N//2,:] - 2*np.ones((N//2,D)) + +# center the last N/2 points at (2, 2) +X[N//2:,:] = X[N//2:,:] + 2*np.ones((N//2,D)) + +# labels: first N/2 are 0, last N/2 are 1 +T = np.array([0]*(N//2) + [1]*(N//2)).reshape(100,1) + +x_data = Variable(torch.Tensor(X)) +y_data = Variable(torch.Tensor(T)) + +class Model(torch.nn.Module): + def __init__(self): + super(Model, self).__init__() + self.linear = torch.nn.Linear(2, 1) # 2 in and 1 out + + def forward(self, x): + #y_pred = torch.sigmoid(self.linear(x)) + y_pred = self.linear(x).sigmoid() + return y_pred + +# Our model +model = Model() + +criterion = torch.nn.BCELoss(reduction="mean") +optimizer = torch.optim.RMSprop(model.parameters(), lr=100) + +# Training loop +for epoch in range(1000): + # Forward pass: Compute predicted y by passing x to the model + y_pred = model(x_data) + + # Compute and print loss + loss = criterion(y_pred, y_data) + print(epoch, loss.data.item()) + + # Zero gradients, perform a backward pass, and update the weights. + optimizer.zero_grad() + loss.backward() + optimizer.step() + +for f in model.parameters(): + print('data is') + print(f.data) + print(f.grad) + +w = list(model.parameters()) +w0 = w[0].data.numpy() +w1 = w[1].data.numpy() + +import matplotlib.pyplot as plt + +print("Final gradient descend:", w) +# plot the data and separating line +plt.scatter(X[:,0], X[:,1], c=T.reshape(N), s=100, alpha=0.5) +x_axis = np.linspace(-6, 6, 100) +y_axis = -(w1[0] + x_axis*w0[0][0]) / w0[0][1] +line_up, = plt.plot(x_axis, y_axis,'r--', label='gradient descent') +plt.legend(handles=[line_up]) +plt.xlabel('X(1)') +plt.ylabel('X(2)') +plt.show() \ No newline at end of file diff --git a/exercise1/test.py b/exercise1/test.py new file mode 100644 index 0000000..4c4c3ab --- /dev/null +++ b/exercise1/test.py @@ -0,0 +1,57 @@ +import numpy as np +import torch +import torch.nn.functional as F +from torch.autograd import Variable + +X = np.loadtxt(open("C:/Users/ThinkPad/PycharmProjects/opticalsimulator/untitled/data_normalized.csv", "rb"), delimiter=",", skiprows=0) +D = X.shape[1] +N = X.shape[0] + + +# labels: first N/2 are 0, last N/2 are 1 +T = np.array([0] * (N // 2) + [1] * (N // 2 + 1)).reshape(N, 1) + +x_data = Variable(torch.Tensor(X)) +y_data = Variable(torch.Tensor(T)) + + +class Model(torch.nn.Module): + def __init__(self): + super(Model, self).__init__() + self.hidden = torch.nn.Linear(D,10) # hidden layer + self.linear = torch.nn.Linear(10, 1) # D in and 1 out + + def forward(self, x): + # y_pred = torch.sigmoid(self.linear(x)) + x = self.hidden(x).sigmoid() + y_pred = self.linear(x).sigmoid() + return y_pred + + +# Our model +model = Model() + +criterion = torch.nn.BCELoss(reduction="mean") +optimizer = torch.optim.SGD(model.parameters(), lr=0.1) + +# Training loop +for epoch in range(1000): + # Forward pass: Compute predicted y by passing x to the model + y_pred = model(x_data) + + # Compute and print loss + loss = criterion(y_pred, y_data) + print(epoch, loss.data.item()) + + # Zero gradients, perform a backward pass, and update the weights. + optimizer.zero_grad() + loss.backward() + optimizer.step() + +for f in model.parameters(): + print('data is') + print(f.data) + print(f.grad) + +w = list(model.parameters()) +print(w) \ No newline at end of file diff --git "a/exercise1/\351\231\210\345\255\220\345\272\267_U201713689_\346\234\272\345\231\250\345\255\246\344\271\240ex1.pdf" "b/exercise1/\351\231\210\345\255\220\345\272\267_U201713689_\346\234\272\345\231\250\345\255\246\344\271\240ex1.pdf" new file mode 100644 index 0000000..aa3857e Binary files /dev/null and "b/exercise1/\351\231\210\345\255\220\345\272\267_U201713689_\346\234\272\345\231\250\345\255\246\344\271\240ex1.pdf" differ