In [2]:
%matplotlib inline
from matplotlib import pyplot as plt
import numpy as np
In [3]:
plt.style.use('seaborn-paper')
In [33]:
X = 2 * np.random.rand(200, 1)
y = 4 + 3 * X + np.abs(np.random.randn(200, 1)*50)
In [34]:
plt.scatter(X, y)
plt.plot(X, theta[0]+theta[1]*X)
Out[34]:
[<matplotlib.lines.Line2D at 0x238412ded30>]
In [35]:
X_b = np.c_[np.ones((200, 1)), X]
In [36]:
eta = 0.1 # learning rate
n_iterations = 100
m = 100
theta = np.random.randn(2,1) # random initialization
for iteration in range(n_iterations):
gradients = 2/m * X_b.T.dot(X_b.dot(theta) - y)
theta = theta - eta * gradients
plt.scatter(X, y)
plt.plot(X, theta[0]+theta[1]*X, 'r-')
plt.title(f"Iteration {iteration}")
plt.savefig(f"plot_{iteration}.png")
plt.gcf().clear()
<matplotlib.figure.Figure at 0x2384260d550>
In [ ]:
theta
In [ ]:
import time
In [15]:
np.random.randn(1000, 1) * 100
Out[15]:
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In [ ]:
Content source: zuik/stuff
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