可以使用Python的Scikit-learn库中的LassoCV函数和GroupLasso包来实现按组运行Lasso回归,并将结果组合起来。具体步骤如下:
import numpy as np
from group_lasso import GroupLasso
group_indices = np.array([0,0,1,1,1,2,2,2,2])
from sklearn.linear_model import LassoCV
models = []
for i in np.unique(group_indices):
X_group = X[group_indices == i]
y_group = y[group_indices == i]
model = LassoCV(cv=5).fit(X_group, y_group)
models.append(model)
coefs = np.concatenate([m.coef_.reshape(-1,1) for m in models], axis=0)
final_coef = np.mean(coefs, axis=0)
return final_coef
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