# 多任务Lasso实现联合特征选择 >翻译者:[@Loopy](https://github.com/loopyme) >校验者:[@barrycg](https://github.com/barrycg) 多任务lasso允许多元回归问题上进行合并训练,并在多个任务间强制选择相同的特征。这个示例模拟了部分序列测量,每个任务都是即时的,并且相关的特征幅值趋向相同时,又会随时间变化而震动。多任务lasso强制要求在一个时间点选择的特征必需适用于所有时间点。这使得多任务LASSO的特征选择更加稳定。 ```python import matplotlib.pyplot as plt import numpy as np from sklearn.linear_model import MultiTaskLasso, Lasso ``` ```python rng = np.random.RandomState(42) # 使用具有随机频率和相位的正弦波生成二维系数 n_samples, n_features, n_tasks = 100, 30, 40 n_relevant_features = 5 coef = np.zeros((n_tasks, n_features)) times = np.linspace(0, 2 * np.pi, n_tasks) for k in range(n_relevant_features): coef[:, k] = np.sin((1. + rng.randn(1)) * times + 3 * rng.randn(1)) X = rng.randn(n_samples, n_features) Y = np.dot(X, coef.T) + rng.randn(n_samples, n_tasks) coef_lasso_ = np.array([Lasso(alpha=0.5).fit(X, y).coef_ for y in Y.T]) coef_multi_task_lasso_ = MultiTaskLasso(alpha=1.).fit(X, Y).coef_ ``` ```python fig = plt.figure(figsize=(8, 5)) plt.subplot(1, 2, 1) plt.spy(coef_lasso_) plt.xlabel('特征') plt.ylabel('时间 (或者叫 任务)') plt.text(10, 5, 'Lasso') plt.subplot(1, 2, 2) plt.spy(coef_multi_task_lasso_) plt.xlabel('特征') plt.ylabel('时间 (或者叫 任务)') plt.text(10, 5, '多任务Lasso') fig.suptitle('系数非零的位置') ``` Text(0.5, 0.98, '系数非零的位置') 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) ```python feature_to_plot = 0 plt.figure() lw = 2 plt.plot(coef[:, feature_to_plot], color='seagreen', linewidth=lw, label='真实值') plt.plot(coef_lasso_[:, feature_to_plot], color='cornflowerblue', linewidth=lw, label='Lasso') plt.plot(coef_multi_task_lasso_[:, feature_to_plot], color='gold', linewidth=lw, label='多任务Lasso') plt.legend(loc='upper center') plt.axis('tight') plt.ylim([-1.1, 1.1]) plt.show() ``` ![png](data:image/png;base64,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)