def test_lasso_toy(): """ Test Lasso on a toy example for various values of alpha. When validating this against glmnet notice that glmnet divides it against nobs. """ X = [[-1], [0], [1]] Y = [-1, 0, 1] # just a straight line T = [[2], [3], [4]] # test sample clf = Lasso(alpha=0) clf.fit(X, Y) pred = clf.predict(T) assert_array_almost_equal(clf.coef_, [1]) assert_array_almost_equal(pred, [2, 3, 4]) assert_almost_equal(clf.dual_gap_, 0) clf = Lasso(alpha=0.1) clf.fit(X, Y) pred = clf.predict(T) assert_array_almost_equal(clf.coef_, [.85]) assert_array_almost_equal(pred, [ 1.7 , 2.55, 3.4 ]) assert_almost_equal(clf.dual_gap_, 0) clf = Lasso(alpha=0.5) clf.fit(X, Y) pred = clf.predict(T) assert_array_almost_equal(clf.coef_, [.25]) assert_array_almost_equal(pred, [0.5, 0.75, 1.]) assert_almost_equal(clf.dual_gap_, 0) clf = Lasso(alpha=1) clf.fit(X, Y) pred = clf.predict(T) assert_array_almost_equal(clf.coef_, [.0]) assert_array_almost_equal(pred, [0, 0, 0]) assert_almost_equal(clf.dual_gap_, 0)