changed deadline fr project 1
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@@ -1,4 +1,4 @@
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TITLE: Project 1 on Machine Learning, deadline September 30, 2019
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TITLE: Project 1 on Machine Learning, deadline October 7, 2019
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AUTHOR: "Data Analysis and Machine Learning FYS-STK3155/FYS4155":"http://www.uio.no/studier/emner/matnat/fys/FYS3155/index-eng.html" {copyright, 1999-present|CC BY-NC} at Department of Physics, University of Oslo, Norway
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DATE: today
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@@ -5,12 +5,10 @@ import matplotlib.pyplot as plt
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from sklearn.linear_model import SGDRegressor
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x = 2*np.random.rand(100,1)
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y = 4+3*x+np.random.randn(100,1)
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y = 4+3*x#+np.random.randn(100,1)
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xb = np.c_[np.ones((100,1)), x]
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theta_linreg = np.linalg.inv(xb.T.dot(xb)).dot(xb.T).dot(y)
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print("Own inversion")
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print(theta_linreg)
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sgdreg = SGDRegressor(max_iter = 50, penalty=None, eta0=0.1)
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sgdreg.fit(x,y.ravel())
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print("sgdreg from scikit")
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@@ -18,13 +16,12 @@ print(sgdreg.intercept_, sgdreg.coef_)
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theta = np.random.randn(2,1)
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eta = 0.1
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Niterations = 1000
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m = 100
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for iter in range(Niterations):
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gradients = 2.0/m*xb.T.dot(xb.dot(theta)-y)
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gradients = 2.0/m*xb.T @ ((xb @ theta)-y)
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theta -= eta*gradients
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print("theta from own gd")
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print(theta)
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@@ -32,7 +29,6 @@ print(theta)
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xnew = np.array([[0],[2]])
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xbnew = np.c_[np.ones((2,1)), xnew]
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ypredict = xbnew.dot(theta)
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ypredict2 = xbnew.dot(theta_linreg)
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n_epochs = 50
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t0, t1 = 5, 50
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@@ -47,14 +43,13 @@ for epoch in range(n_epochs):
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random_index = np.random.randint(m)
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xi = xb[random_index:random_index+1]
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yi = y[random_index:random_index+1]
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gradients = 2 * xi.T.dot(xi.dot(theta)-yi)
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gradients = 2 * xi.T @ ((xi @ theta)-yi)
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eta = learning_schedule(epoch*m+i)
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theta = theta - eta*gradients
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print("theta from own sdg")
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print(theta)
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plt.plot(xnew, ypredict, "r-")
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plt.plot(xnew, ypredict2, "b-")
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plt.plot(x, y ,'ro')
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plt.axis([0,2.0,0, 15.0])
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plt.xlabel(r'$x$')
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