plot_lasso_model_selection.md 165.1 KB
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# Lasso模型选择:交叉验证 / AIC / BIC

>翻译者:[@Loopy](https://github.com/loopyme)        
>校验者:[@barrycg](https://github.com/barrycg)

本示例利用Akaike信息判据(AIC)、Bayes信息判据(BIC)和交叉验证,来筛选Lasso回归的正则化项参数alpha的最优值。

通过LassoLarsIC得到的结果,是基于AIC/BIC判据的。

 这种基于信息判据(AIC/BIC)的模型选择非常快,但它依赖于对自由度的正确估计。该方式的假设模型必需是正确, 而且是对大样本(渐近结果)进行推导,即,数据实际上是由该模型生成的。当问题的背景条件很差时(特征数大于样本数),该模型选择方式会崩溃。

对于交叉验证,我们使用20-fold的2种算法来计算Lasso路径:LassoCV类实现的坐标下降和LassoLarsCV类实现的最小角度回归(Lars)。这两种算法给出的结果大致相同,但它们在执行速度和数值误差来源方面有所不同。

Lars仅为路径中的每个拐点计算路径解决方案。因此,当只有很少的弯折时,也就是很少的特征或样本时,它是非常有效的。此外,它能够计算完整的路径,而不需要设置任何元参数。与之相反,坐标下降算法计算预先指定的网格上的路径点(本示例中我们使用缺省值)。因此,如果网格点的数量小于路径中的拐点的数量,则效率更高。如果特征数量非常大,并且有足够的样本来选择大量特征,那么这种策略就非常有趣。在数值误差方面,Lars会因变量间的高相关度而积累更多的误差,而坐标下降算法只会采样网格上路径。

注意观察alpha的最优值是如何随着每个fold而变化。这是为什么当估交叉验证选择参数的方法的性能时,需要使用嵌套交叉验证的原因:这种参数的选择对于不可见数据可能不是最优的。


```python
import time

import numpy as np
import matplotlib.pyplot as plt

from sklearn.linear_model import LassoCV, LassoLarsCV, LassoLarsIC
from sklearn import datasets
```


```python
# 这样做是为了避免在np.log10时除零
EPSILON = 1e-4

diabetes = datasets.load_diabetes()
X = diabetes.data
y = diabetes.target

rng = np.random.RandomState(42)
X = np.c_[X, rng.randn(X.shape[0], 14)]  # 添加一些不好的特征
```


```python
# 将最小角度回归得到的数据标准化,以便进行比较
X /= np.sqrt(np.sum(X ** 2, axis=0))
```


```python
# LassoLarsIC: 用BIC/AIC判据进行最小角度回归

model_bic = LassoLarsIC(criterion='bic')
t1 = time.time()
model_bic.fit(X, y)
t_bic = time.time() - t1
alpha_bic_ = model_bic.alpha_

model_aic = LassoLarsIC(criterion='aic')
model_aic.fit(X, y)
alpha_aic_ = model_aic.alpha_
```


```python
def plot_ic_criterion(model, name, color):
    alpha_ = model.alpha_ + EPSILON
    alphas_ = model.alphas_ + EPSILON
    criterion_ = model.criterion_
    plt.plot(-np.log10(alphas_), criterion_, '--', color=color,
             linewidth=3, label='%s 判据' % name)
    plt.axvline(-np.log10(alpha_), color=color, linewidth=3,
                label='alpha: %s 估计' % name)
    plt.xlabel('-log(alpha)')
    plt.ylabel('判据')

plt.figure()
plot_ic_criterion(model_aic, 'AIC', 'b')
plot_ic_criterion(model_bic, 'BIC', 'r')
plt.legend()
plt.title('模型选择的信息判据 (训练时间:%.3fs)'
          % t_bic)
```




    Text(0.5, 1.0, '模型选择的信息判据 (训练时间:0.024s)')




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)



```python
# LassoCV: 坐标下降

# 计算路径
t1 = time.time()
model = LassoCV(cv=20).fit(X, y)
t_lasso_cv = time.time() - t1

# 显示结果
m_log_alphas = -np.log10(model.alphas_ + EPSILON)

plt.figure()
ymin, ymax = 2300, 3800
plt.plot(m_log_alphas, model.mse_path_, ':')
plt.plot(m_log_alphas, model.mse_path_.mean(axis=-1), 'k',
         label='平均', linewidth=2)
plt.axvline(-np.log10(model.alpha_ + EPSILON), linestyle='--', color='k',
            label='alpha:CV估计')

plt.legend()

plt.xlabel('-log(alpha)')
plt.ylabel('均方惨差')
plt.title('每折上的均方残差: 坐标下降法'
          '(训练时间: %.2fs)' % t_lasso_cv)
plt.axis('tight')
plt.ylim(ymin, ymax)
```




    (2300, 3800)




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)



```python
# LassoLarsCV: 最小角度回归法

# Compute paths
print("Computing regularization path using the Lars lasso...")
t1 = time.time()
model = LassoLarsCV(cv=20).fit(X, y)
t_lasso_lars_cv = time.time() - t1

# Display results
m_log_alphas = -np.log10(model.cv_alphas_ + EPSILON)

plt.figure()
plt.plot(m_log_alphas, model.mse_path_, ':')
plt.plot(m_log_alphas, model.mse_path_.mean(axis=-1), 'k',
         label='平均', linewidth=2)
plt.axvline(-np.log10(model.alpha_), linestyle='--', color='k',
            label='alpha CV')
plt.legend()

plt.xlabel('-log(alpha)')
plt.ylabel('均方惨差')
plt.title('每折上的均方残差: 最小角度回归法'
          '(训练时间: %.2fs)' % t_lasso_lars_cv)
plt.axis('tight')
plt.ylim(ymin, ymax)

plt.show()
```

    Computing regularization path using the Lars lasso...



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)