鄙人调参新手,最近用lightGBM有点猛,无奈在各大博客之间找不到具体的调参方法,于是将自己的调参notebook打印成markdown出来,希望可以跟大家互相学习。
其实,对于基于决策树的模型,调参的方法都是大同小异。一般都需要如下步骤:
- 首先选择较高的学习率,大概0.1附近,这样是为了加快收敛的速度。这对于调参是很有必要的。
- 对决策树基本参数调参
- 正则化参数调参
- 最后降低学习率,这里是为了最后提高准确率
所以,下面的调参例子是基于上述步骤来操作。数据集为一个(4400+, 1000+)的数据集,全是数值特征,metric采用均方根误差。
(PS:还是吐槽一下,lightgbm参数的同义词(alias)实在是太多了,有时候不同的参数但同一个意思的时候真的很困扰,下面同义的参数我都用/
划开,方便查看。)
Step1. 学习率和估计器及其数目
不管怎么样,我们先把学习率先定一个较高的值,这里取 learning_rate = 0.1
,其次确定估计器boosting/boost/boosting_type
的类型,不过默认都会选gbdt
。
为了确定估计器的数目,也就是boosting迭代的次数,也可以说是残差树的数目,参数名为n_estimators/num_iterations/num_round/num_boost_round
。我们可以先将该参数设成一个较大的数,然后在cv结果中查看最优的迭代次数,具体如代码。
在这之前,我们必须给其他重要的参数一个初始值。初始值的意义不大,只是为了方便确定其他参数。下面先给定一下初始值:
以下参数根据具体项目要求定:
'boosting_type'/'boosting': 'gbdt' 'objective': 'regression' 'metric': 'rmse'
以下参数我选择的初始值,你可以根据自己的情况来选择:
'max_depth': 6 ### 根据问题来定咯,由于我的数据集不是很大,所以选择了一个适中的值,其实4-10都无所谓。 'num_leaves': 50 ### 由于lightGBM是leaves_wise生长,官方说法是要小于2^max_depth 'subsample'/'bagging_fraction':0.8 ### 数据采样 'colsample_bytree'/'feature_fraction': 0.8 ### 特征采样
下面我是用LightGBM的cv函数进行演示:
params = {
'boosting_type': 'gbdt', 'objective': 'regression', 'learning_rate': 0.1, 'num_leaves': 50, 'max_depth': 6, 'subsample': 0.8, 'colsample_bytree': 0.8, }
data_train = lgb.Dataset(df_train, y_train, silent=True) cv_results = lgb.cv( params, data_train, num_boost_round=1000, nfold=5, stratified=False, shuffle=True, metrics='rmse', early_stopping_rounds=50, verbose_eval=50, show_stdv=True, seed=0) print('best n_estimators:', len(cv_results['rmse-mean'])) print('best cv score:', cv_results['rmse-mean'][-1])
[50] cv_agg's rmse: 1.38497 + 0.0202823 best n_estimators: 43 best cv score: 1.3838664241
由于我的数据集不是很大,所以在学习率为0.1时,最优的迭代次数只有43。那么现在,我们就代入(0.1, 43)进入其他参数的tuning。但是还是建议,在硬件条件允许的条件下,学习率还是越小越好。
Step2. max_depth 和 num_leaves
这是提高精确度的最重要的参数。
max_depth
:设置树深度,深度越大可能过拟合
num_leaves
:因为 LightGBM 使用的是 leaf-wise 的算法,因此在调节树的复杂程度时,使用的是 num_leaves 而不是 max_depth。大致换算关系:num_leaves = 2^(max_depth),但是它的值的设置应该小于 2^(max_depth),否则可能会导致过拟合。
我们也可以同时调节这两个参数,对于这两个参数调优,我们先粗调,再细调:
这里我们引入sklearn
里的GridSearchCV()
函数进行搜索。不知道怎的,这个函数特别耗内存,特别耗时间,特别耗精力。
from sklearn.model_selection import GridSearchCV ### 我们可以创建lgb的sklearn模型,使用上面选择的(学习率,评估器数目) model_lgb = lgb.LGBMRegressor(objective='regression',num_leaves=50, learning_rate=0.1, n_estimators=43, max_depth=6, metric='rmse', bagging_fraction = 0.8,feature_fraction = 0.8) params_test1={ 'max_depth': range(3,8,2), 'num_leaves':range(50, 170, 30) } gsearch1 = GridSearchCV(estimator=model_lgb, param_grid=params_test1, scoring='neg_mean_squared_error', cv=5, verbose=1, n_jobs=4)
gsearch1.fit(df_train, y_train)
gsearch1.grid_scores_, gsearch1.best_params_, gsearch1.best_score_
Fitting 5 folds for each of 12 candidates, totalling 60 fits [Parallel(n_jobs=4)]: Done 42 tasks | elapsed: 2.0min [Parallel(n_jobs=4)]: Done 60 out of 60 | elapsed: 3.1min finished ([mean: -1.88629, std: 0.13750, params: {'max_depth': 3, 'num_leaves': 50}, mean: -1.88629, std: 0.13750, params: {'max_depth': 3, 'num_leaves': 80}, mean: -1.88629, std: 0.13750, params: {'max_depth': 3, 'num_leaves': 110}, mean: -1.88629, std: 0.13750, params: {'max_depth': 3, 'num_leaves': 140}, mean: -1.86917, std: 0.12590, params: {'max_depth': 5, 'num_leaves': 50}, mean: -1.86917, std: 0.12590, params: {'max_depth': 5, 'num_leaves': 80}, mean: -1.86917, std: 0.12590, params: {'max_depth': 5, 'num_leaves': 110}, mean: -1.86917, std: 0.12590, params: {'max_depth': 5, 'num_leaves': 140}, mean: -1.89254, std: 0.10904, params: {'max_depth': 7, 'num_leaves': 50}, mean: -1.86024, std: 0.11364, params: {'max_depth': 7, 'num_leaves': 80}, mean: -1.86024, std: 0.11364, params: {'max_depth': 7, 'num_leaves': 110}, mean: -1.86024, std: 0.11364, params: {'max_depth': 7, 'num_leaves': 140}], {'max_depth': 7, 'num_leaves': 80}, -1.8602436718814157)
这里,我们运行了12个参数组合,得到的最优解是在max_depth为7,num_leaves为80的情况下,分数为-1.860。
这里必须说一下,sklearn模型评估里的scoring参数都是采用的higher return values are better than lower return values(较高的返回值优于较低的返回值)。
但是,我采用的metric策略采用的是均方误差(rmse),越低越好,所以sklearn就提供了neg_mean_squared_erro
参数,也就是返回metric的负数,所以就均方差来说,也就变成负数越大越好了。
所以,可以看到,最优解的分数为-1.860,转化为均方差为np.sqrt(-(-1.860)) = 1.3639,明显比step1的分数要好很多。
至此,我们将我们这步得到的最优解代入第三步。其实,我这里只进行了粗调,如果要得到更好的效果,可以将max_depth在7附近多取几个值,num_leaves在80附近多取几个值。千万不要怕麻烦,虽然这确实很麻烦。
params_test2={
'max_depth': [6,7,8], 'num_leaves':[68,74,80,86,92] } gsearch2 = GridSearchCV(estimator=model_lgb, param_grid=params_test2, scoring='neg_mean_squared_error', cv=5, verbose=1, n_jobs=4) gsearch2.fit(df_train, y_train) gsearch2.grid_scores_, gsearch2.best_params_, gsearch2.best_score_
Fitting 5 folds for each of 15 candidates, totalling 75 fits [Parallel(n_jobs=4)]: Done 42 tasks | elapsed: 2.8min [Parallel(n_jobs=4)]: Done 75 out of 75 | elapsed: 5.1min finished ([mean: -1.87506, std: 0.11369, params: {'max_depth': 6, 'num_leaves': 68}, mean: -1.87506, std: 0.11369, params: {'max_depth': 6, 'num_leaves': 74}, mean: -1.87506, std: 0.11369, params: {'max_depth': 6, 'num_leaves': 80}, mean: -1.87506, std: 0.11369, params: {'max_depth': 6, 'num_leaves': 86}, mean: -1.87506, std: 0.11369, params: {'max_depth': 6, 'num_leaves': 92}, mean: -1.86024, std: 0.11364, params: {'max_depth': 7, 'num_leaves': 68}, mean: -1.86024, std: 0.11364, params: {'max_depth': 7, 'num_leaves': 74}, mean: -1.86024, std: 0.11364, params: {'max_depth': 7, 'num_leaves': 80}, mean: -1.86024, std: 0.11364, params: {'max_depth': 7, 'num_leaves': 86}, mean: -1.86024, std: 0.11364, params: {'max_depth': 7, 'num_leaves': 92}, mean: -1.88197, std: 0.11295, params: {'max_depth': 8, 'num_leaves': 68}, mean: -1.89117, std: 0.12686, params: {'max_depth': 8, 'num_leaves': 74}, mean: -1.86390, std: 0.12259, params: {'max_depth': 8, 'num_leaves': 80}, mean: -1.86733, std: 0.12159, params: {'max_depth': 8, 'num_leaves': 86}, mean: -1.86665, std: 0.12174, params: {'max_depth': 8, 'num_leaves': 92}], {'max_depth': 7, 'num_leaves': 68}, -1.8602436718814157)
可见最大深度7是没问题的,但是看细节的话,发现在最大深度为7的情况下,叶结点的数量对分数并没有影响。
Step3: min_data_in_leaf 和 min_sum_hessian_in_leaf
说到这里,就该降低过拟合了。
min_data_in_leaf
是一个很重要的参数, 也叫min_child_samples,它的值取决于训练数据的样本个树和num_leaves. 将其设置的较大可以避免生成一个过深的树, 但有可能导致欠拟合。
min_sum_hessian_in_leaf
:也叫min_child_weight,使一个结点分裂的最小海森值之和,真拗口(Minimum sum of hessians in one leaf to allow a split. Higher values potentially decrease overfitting)
我们采用跟上面相同的方法进行:
params_test3={
'min_child_samples': [18, 19, 20, 21, 22], 'min_child_weight':[0.001, 0.002] } model_lgb = lgb.LGBMRegressor(objective='regression',num_leaves=80, learning_rate=0.1, n_estimators=43, max_depth=7, metric='rmse', bagging_fraction = 0.8, feature_fraction = 0.8) gsearch3 = GridSearchCV(estimator=model_lgb, param_grid=params_test3, scoring='neg_mean_squared_error', cv=5, verbose=1, n_jobs=4) gsearch3.fit(df_train, y_train) gsearch3.grid_scores_, gsearch3.best_params_, gsearch3.best_score_
Fitting 5 folds for each of 10 candidates, totalling 50 fits [Parallel(n_jobs=4)]: Done 42 tasks | elapsed: 2.9min [Parallel(n_jobs=4)]: Done 50 out of 50 | elapsed: 3.3min finished ([mean: -1.88057, std: 0.13948, params: {'min_child_samples': 18, 'min_child_weight': 0.001}, mean: -1.88057, std: 0.13948, params: {'min_child_samples': 18, 'min_child_weight': 0.002}, mean: -1.88365, std: 0.13650, params: {'min_child_samples': 19, 'min_child_weight': 0.001}, mean: -1.88365, std: 0.13650, params: {'min_child_samples': 19, 'min_child_weight': 0.002}, mean: -1.86024, std: 0.11364, params: {'min_child_samples': 20, 'min_child_weight': 0.001}, mean: -1.86024, std: 0.11364, params: {'min_child_samples': 20, 'min_child_weight': 0.002}, mean: -1.86980, std: 0.14251, params: {'min_child_samples': 21, 'min_child_weight': 0.001}, mean: -1.86980, std: 0.14251, params: {'min_child_samples': 21, 'min_child_weight': 0.002}, mean: -1.86750, std: 0.13898, params: {'min_child_samples': 22, 'min_child_weight': 0.001}, mean: -1.86750, std: 0.13898, params: {'min_child_samples': 22, 'min_child_weight': 0.002}], {'min_child_samples': 20, 'min_child_weight': 0.001}, -1.8602436718814157)
这是我经过粗调后细调的结果,可以看到,min_data_in_leaf的最优值为20,而min_sum_hessian_in_leaf对最后的值几乎没有影响。且这里调参之后,最后的值没有进行优化,说明之前的默认值即为20,0.001。
Step4: feature_fraction 和 bagging_fraction
这两个参数都是为了降低过拟合的。
feature_fraction参数来进行特征的子抽样。这个参数可以用来防止过拟合及提高训练速度。
bagging_fraction+bagging_freq参数必须同时设置,bagging_fraction相当于subsample样本采样,可以使bagging更快的运行,同时也可以降拟合。bagging_freq默认0,表示bagging的频率,0意味着没有使用bagging,k意味着每k轮迭代进行一次bagging。
不同的参数,同样的方法。
params_test4={
'feature_fraction': [0.5, 0.6, 0.7, 0.8, 0.9], 'bagging_fraction': [0.6, 0.7, 0.8, 0.9, 1.0] } model_lgb = lgb.LGBMRegressor(objective='regression',num_leaves=80, learning_rate=0.1, n_estimators=43, max_depth=7, metric='rmse', bagging_freq = 5, min_child_samples=20) gsearch4 = GridSearchCV(estimator=model_lgb, param_grid=params_test4, scoring='neg_mean_squared_error', cv=5, verbose=1, n_jobs=4) gsearch4.fit(df_train, y_train) gsearch4.grid_scores_, gsearch4.best_params_, gsearch4.best_score_
Fitting 5 folds for each of 25 candidates, totalling 125 fits [Parallel(n_jobs=4)]: Done 42 tasks | elapsed: 2.6min [Parallel(n_jobs=4)]: Done 125 out of 125 | elapsed: 7.1min finished ([mean: -1.90447, std: 0.15841, params: {'bagging_fraction': 0.6, 'feature_fraction': 0.5}, mean: -1.90846, std: 0.13925, params: {'bagging_fraction': 0.6, 'feature_fraction': 0.6}, mean: -1.91695, std: 0.14121, params: {'bagging_fraction': 0.6, 'feature_fraction': 0.7}, mean: -1.90115, std: 0.12625, params: {'bagging_fraction': 0.6, 'feature_fraction': 0.8}, mean: -1.92586, std: 0.15220, params: {'bagging_fraction': 0.6, 'feature_fraction': 0.9}, mean: -1.88031, std: 0.17157, params: {'bagging_fraction': 0.7, 'feature_fraction': 0.5}, mean: -1.89513, std: 0.13718, params: {'bagging_fraction': 0.7, 'feature_fraction': 0.6}, mean: -1.88845, std: 0.13864, params: {'bagging_fraction': 0.7, 'feature_fraction': 0.7}, mean: -1.89297, std: 0.12374, params: {'bagging_fraction': 0.7, 'feature_fraction': 0.8}, mean: -1.89432, std: 0.14353, params: {'bagging_fraction': 0.7, 'feature_fraction': 0.9}, mean: -1.88088, std: 0.14247, params: {'bagging_fraction': 0.8, 'feature_fraction': 0.5}, mean: -1.90080, std: 0.13174, params: {'bagging_fraction': 0.8, 'feature_fraction': 0.6}, mean: -1.88364, std: 0.14732, params: {'bagging_fraction': 0.8, 'feature_fraction': 0.7}, mean: -1.88987, std: 0.13344, params: {'bagging_fraction': 0.8, 'feature_fraction': 0.8}, mean: -1.87752, std: 0.14802, params: {'bagging_fraction': 0.8, 'feature_fraction': 0.9}, mean: -1.88348, std: 0.13925, params: {'bagging_fraction': 0.9, 'feature_fraction': 0.5}, mean: -1.87472, std: 0.13301, params: {'bagging_fraction': 0.9, 'feature_fraction': 0.6}, mean: -1.88656, std: 0.12241, params: {'bagging_fraction': 0.9, 'feature_fraction': 0.7}, mean: -1.89029, std: 0.10776, params: {'bagging_fraction': 0.9, 'feature_fraction': 0.8}, mean: -1.88719, std: 0.11915, params: {'bagging_fraction': 0.9, 'feature_fraction': 0.9}, mean: -1.86170, std: 0.12544, params: {'bagging_fraction': 1.0, 'feature_fraction': 0.5}, mean: -1.87334, std: 0.13099, params: {'bagging_fraction': 1.0, 'feature_fraction': 0.6}, mean: -1.85412, std: 0.12698, params: {'bagging_fraction': 1.0, 'feature_fraction': 0.7}, mean: -1.86024, std: 0.11364, params: {'bagging_fraction': 1.0, 'feature_fraction': 0.8}, mean: -1.87266, std: 0.12271, params: {'bagging_fraction': 1.0, 'feature_fraction': 0.9}], {'bagging_fraction': 1.0, 'feature_fraction': 0.7}, -1.8541224387666373)
从这里可以看出来,bagging_feaction和feature_fraction的理想值分别是1.0和0.7,一个很重要原因就是,我的样本数量比较小(4000+),但是特征数量很多(1000+)。所以,这里我们取更小的步长,对feature_fraction进行更细致的取值。
params_test5={
'feature_fraction': [0.62, 0.65, 0.68, 0.7, 0.72, 0.75, 0.78 ] } model_lgb = lgb.LGBMRegressor(objective='regression',num_leaves=80, learning_rate=0.1, n_estimators=43, max_depth=7, metric='rmse', min_child_samples=20) gsearch5 = GridSearchCV(estimator=model_lgb, param_grid=params_test5, scoring='neg_mean_squared_error', cv=5, verbose=1, n_jobs=4) gsearch5.fit(df_train, y_train) gsearch5.grid_scores_, gsearch5.best_params_, gsearch5.best_score_
Fitting 5 folds for each of 7 candidates, totalling 35 fits [Parallel(n_jobs=4)]: Done 35 out of 35 | elapsed: 2.3min finished ([mean: -1.86696, std: 0.12658, params: {'feature_fraction': 0.62}, mean: -1.88337, std: 0.13215, params: {'feature_fraction': 0.65}, mean: -1.87282, std: 0.13193, params: {'feature_fraction': 0.68}, mean: -1.85412, std: 0.12698, params: {'feature_fraction': 0.7}, mean: -1.88235, std: 0.12682, params: {'feature_fraction': 0.72}, mean: -1.86329, std: 0.12757, params: {'feature_fraction': 0.75}, mean: -1.87943, std: 0.12107, params: {'feature_fraction': 0.78}], {'feature_fraction': 0.7}, -1.8541224387666373)
好吧,feature_fraction就是0.7了
Step5: 正则化参数
正则化参数lambda_l1(reg_alpha), lambda_l2(reg_lambda),毫无疑问,是降低过拟合的,两者分别对应l1正则化和l2正则化。我们也来尝试一下使用这两个参数。
params_test6={
'reg_alpha': [0, 0.001, 0.01, 0.03, 0.08, 0.3, 0.5], 'reg_lambda': [0, 0.001, 0.01, 0.03, 0.08, 0.3, 0.5] } model_lgb = lgb.LGBMRegressor(objective='regression',num_leaves=80, learning_rate=0.b1, n_estimators=43, max_depth=7, metric='rmse', min_child_samples=20, feature_fraction=0.7) gsearch6 = GridSearchCV(estimator=model_lgb, param_grid=params_test6, scoring='neg_mean_squared_error', cv=5, verbose=1, n_jobs=4) gsearch6.fit(df_train, y_train) gsearch6.grid_scores_, gsearch6.best_params_, gsearch6.best_score_
Fitting 5 folds for each of 49 candidates, totalling 245 fits [Parallel(n_jobs=4)]: Done 42 tasks | elapsed: 2.8min [Parallel(n_jobs=4)]: Done 192 tasks | elapsed: 10.6min [Parallel(n_jobs=4)]: Done 245 out of 245 | elapsed: 13.3min finished ([mean: -1.85412, std: 0.12698, params: {'reg_alpha': 0, 'reg_lambda': 0}, mean: -1.85990, std: 0.13296, params: {'reg_alpha': 0, 'reg_lambda': 0.001}, mean: -1.86367, std: 0.13634, params: {'reg_alpha': 0, 'reg_lambda': 0.01}, mean: -1.86787, std: 0.13881, params: {'reg_alpha': 0, 'reg_lambda': 0.03}, mean: -1.87099, std: 0.12476, params: {'reg_alpha': 0, 'reg_lambda': 0.08}, mean: -1.87670, std: 0.11849, params: {'reg_alpha': 0, 'reg_lambda': 0.3}, mean: -1.88278, std: 0.13064, params: {'reg_alpha': 0, 'reg_lambda': 0.5}, mean: -1.86190, std: 0.13613, params: {'reg_alpha': 0.001, 'reg_lambda': 0}, mean: -1.86190, std: 0.13613, params: {'reg_alpha': 0.001, 'reg_lambda': 0.001}, mean: -1.86515, std: 0.14116, params: {'reg_alpha': 0.001, 'reg_lambda': 0.01}, mean: -1.86908, std: 0.13668, params: {'reg_alpha': 0.001, 'reg_lambda': 0.03}, mean: -1.86852, std: 0.12289, params: {'reg_alpha': 0.001, 'reg_lambda': 0.08}, mean: -1.88076, std: 0.11710, params: {'reg_alpha': 0.001, 'reg_lambda': 0.3}, mean: -1.88278, std: 0.13064, params: {'reg_alpha': 0.001, 'reg_lambda': 0.5}, mean: -1.87480, std: 0.13889, params: {'reg_alpha': 0.01, 'reg_lambda': 0}, mean: -1.87284, std: 0.14138, params: {'reg_alpha': 0.01, 'reg_lambda': 0.001}, mean: -1.86030, std: 0.13332, params: {'reg_alpha': 0.01, 'reg_lambda': 0.01}, mean: -1.86695, std: 0.12587, params: {'reg_alpha': 0.01, 'reg_lambda': 0.03}, mean: -1.87415, std: 0.13100, params: {'reg_alpha': 0.01, 'reg_lambda': 0.08}, mean: -1.88543, std: 0.13195, params: {'reg_alpha': 0.01, 'reg_lambda': 0.3}, mean: -1.88076, std: 0.13502, params: {'reg_alpha': 0.01, 'reg_lambda': 0.5}, mean: -1.87729, std: 0.12533, params: {'reg_alpha': 0.03, 'reg_lambda': 0}, mean: -1.87435, std: 0.12034, params: {'reg_alpha': 0.03, 'reg_lambda': 0.001}, mean: -1.87513, std: 0.12579, params: {'reg_alpha': 0.03, 'reg_lambda': 0.01}, mean: -1.88116, std: 0.12218, params: {'reg_alpha': 0.03, 'reg_lambda': 0.03}, mean: -1.88052, std: 0.13585,