In [11]:
print(__doc__)
import numpy as np
import matplotlib.pyplot as plt
from sklearn import linear_model
# X is the 10x10 Hilbert matrix
#print(np.newaxis)
#print(1. / np.arange(1,11) + np.arange(0,10)[:,np.newaxis] )
X = 1. / (np.arange(1, 11) + np.arange(0, 10)[:, np.newaxis])
y = np.ones(10)
print(X)
print(y)
n_alphas = 200
alphas = np.logspace(-10, -2, n_alphas)
print(alphas)
coefs = []
for a in alphas:
print('a',a)
ridge = linear_model.Ridge(alpha=a, fit_intercept=False)
ridge.fit(X, y)
coefs.append(ridge.coef_)
print(coefs)
ax = plt.gca()
ax.plot(alphas, coefs)
ax.set_xscale('log')
ax.set_xlim(ax.get_xlim()[::-1]) # reverse axis
plt.xlabel('alpha')
plt.ylabel('weights')
plt.title('Ridge coefficients as a function of the regularization')
plt.axis('tight')
plt.show()
Automatically created module for IPython interactive environment
[[ 1. 0.5 0.33333333 0.25 0.2 0.16666667
0.14285714 0.125 0.11111111 0.1 ]
[ 0.5 0.33333333 0.25 0.2 0.16666667 0.14285714
0.125 0.11111111 0.1 0.09090909]
[ 0.33333333 0.25 0.2 0.16666667 0.14285714 0.125
0.11111111 0.1 0.09090909 0.08333333]
[ 0.25 0.2 0.16666667 0.14285714 0.125 0.11111111
0.1 0.09090909 0.08333333 0.07692308]
[ 0.2 0.16666667 0.14285714 0.125 0.11111111 0.1
0.09090909 0.08333333 0.07692308 0.07142857]
[ 0.16666667 0.14285714 0.125 0.11111111 0.1 0.09090909
0.08333333 0.07692308 0.07142857 0.06666667]
[ 0.14285714 0.125 0.11111111 0.1 0.09090909 0.08333333
0.07692308 0.07142857 0.06666667 0.0625 ]
[ 0.125 0.11111111 0.1 0.09090909 0.08333333 0.07692308
0.07142857 0.06666667 0.0625 0.05882353]
[ 0.11111111 0.1 0.09090909 0.08333333 0.07692308 0.07142857
0.06666667 0.0625 0.05882353 0.05555556]
[ 0.1 0.09090909 0.08333333 0.07692308 0.07142857 0.06666667
0.0625 0.05882353 0.05555556 0.05263158]]
[ 1. 1. 1. 1. 1. 1. 1. 1. 1. 1.]
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Content source: thushear/MLInAction
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