Lasso regression example

Python source code: lasso_and_elasticnet.py

print __doc__

import numpy as np

################################################################################
# generate some sparse data to play with

n_samples, n_features = 50, 200
X = np.random.randn(n_samples, n_features)
coef = 3*np.random.randn(n_features)
coef[10:] = 0 # sparsify coef
y = np.dot(X, coef)

# add noise
y += 0.01*np.random.normal((n_samples,))

# Split data in train set and test set
n_samples = X.shape[0]
X_train, y_train = X[:n_samples/2], y[:n_samples/2]
X_test, y_test = X[n_samples/2:], y[n_samples/2:]

################################################################################
# Lasso
from scikits.learn.linear_model import Lasso

alpha = 0.1
lasso = Lasso(alpha=alpha)

y_pred_lasso = lasso.fit(X_train, y_train).predict(X_test)
print lasso
print "r^2 on test data : %f" % (1 - np.linalg.norm(y_test - y_pred_lasso)**2
                                      / np.linalg.norm(y_test)**2)

################################################################################
# ElasticNet
from scikits.learn.linear_model import ElasticNet

enet = ElasticNet(alpha=alpha, rho=0.7)

y_pred_enet = enet.fit(X_train, y_train).predict(X_test)
print enet
print "r^2 on test data : %f" % (1 - np.linalg.norm(y_test - y_pred_enet)**2
                                      / np.linalg.norm(y_test)**2)