sklearn中的交叉验证的实现(Cross-Validation)

Adalia ·
更新时间:2024-11-10
· 192 次阅读

sklearn是利用python进行机器学习中一个非常全面和好用的第三方库,用过的都说好。今天主要记录一下sklearn中关于交叉验证的各种用法,主要是对sklearn官方文档 Cross-validation: evaluating estimator performance进行讲解,英文水平好的建议读官方文档,里面的知识点很详细。

先导入需要的库及数据集

In [1]: import numpy as np In [2]: from sklearn.model_selection import train_test_split In [3]: from sklearn.datasets import load_iris In [4]: from sklearn import svm In [5]: iris = load_iris() In [6]: iris.data.shape, iris.target.shape Out[6]: ((150, 4), (150,)) 1.train_test_split

对数据集进行快速打乱(分为训练集和测试集)

这里相当于对数据集进行了shuffle后按照给定的test_size 进行数据集划分。

In [7]: X_train, X_test, y_train, y_test = train_test_split( ...: iris.data, iris.target, test_size=.4, random_state=0) #这里是按照6:4对训练集测试集进行划分 In [8]: X_train.shape, y_train.shape Out[8]: ((90, 4), (90,)) In [9]: X_test.shape, y_test.shape Out[9]: ((60, 4), (60,)) In [10]: iris.data[:5] Out[10]: array([[ 5.1, 3.5, 1.4, 0.2], [ 4.9, 3. , 1.4, 0.2], [ 4.7, 3.2, 1.3, 0.2], [ 4.6, 3.1, 1.5, 0.2], [ 5. , 3.6, 1.4, 0.2]]) In [11]: X_train[:5] Out[11]: array([[ 6. , 3.4, 4.5, 1.6], [ 4.8, 3.1, 1.6, 0.2], [ 5.8, 2.7, 5.1, 1.9], [ 5.6, 2.7, 4.2, 1.3], [ 5.6, 2.9, 3.6, 1.3]]) In [12]: clf = svm.SVC(kernel='linear', C=1).fit(X_train, y_train) In [13]: clf.score(X_test, y_test) Out[13]: 0.96666666666666667 2.cross_val_score

对数据集进行指定次数的交叉验证并为每次验证效果评测

其中,score 默认是以 scoring='f1_macro'进行评测的,余外针对分类或回归还有:

这里写图片描述

这需要from sklearn import metrics ,通过在cross_val_score 指定参数来设定评测标准;
cv 指定为int 类型时,默认使用KFoldStratifiedKFold 进行数据集打乱,下面会对KFoldStratifiedKFold 进行介绍。

In [15]: from sklearn.model_selection import cross_val_score In [16]: clf = svm.SVC(kernel='linear', C=1) In [17]: scores = cross_val_score(clf, iris.data, iris.target, cv=5) In [18]: scores Out[18]: array([ 0.96666667, 1. , 0.96666667, 0.96666667, 1. ]) In [19]: scores.mean() Out[19]: 0.98000000000000009

除使用默认交叉验证方式外,可以对交叉验证方式进行指定,如验证次数,训练集测试集划分比例等

In [20]: from sklearn.model_selection import ShuffleSplit In [21]: n_samples = iris.data.shape[0] In [22]: cv = ShuffleSplit(n_splits=3, test_size=.3, random_state=0) In [23]: cross_val_score(clf, iris.data, iris.target, cv=cv) Out[23]: array([ 0.97777778, 0.97777778, 1. ])

cross_val_score 中同样可使用pipeline 进行流水线操作

In [24]: from sklearn import preprocessing In [25]: from sklearn.pipeline import make_pipeline In [26]: clf = make_pipeline(preprocessing.StandardScaler(), svm.SVC(C=1)) In [27]: cross_val_score(clf, iris.data, iris.target, cv=cv) Out[27]: array([ 0.97777778, 0.93333333, 0.95555556]) 3.cross_val_predict

cross_val_predictcross_val_score 很相像,不过不同于返回的是评测效果,cross_val_predict 返回的是estimator 的分类结果(或回归值),这个对于后期模型的改善很重要,可以通过该预测输出对比实际目标值,准确定位到预测出错的地方,为我们参数优化及问题排查十分的重要。

In [28]: from sklearn.model_selection import cross_val_predict In [29]: from sklearn import metrics In [30]: predicted = cross_val_predict(clf, iris.data, iris.target, cv=10) In [31]: predicted Out[31]: array([0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]) In [32]: metrics.accuracy_score(iris.target, predicted) Out[32]: 0.96666666666666667 4.KFold

K折交叉验证,这是将数据集分成K份的官方给定方案,所谓K折就是将数据集通过K次分割,使得所有数据既在训练集出现过,又在测试集出现过,当然,每次分割中不会有重叠。相当于无放回抽样。

In [33]: from sklearn.model_selection import KFold In [34]: X = ['a','b','c','d'] In [35]: kf = KFold(n_splits=2) In [36]: for train, test in kf.split(X): ...: print train, test ...: print np.array(X)[train], np.array(X)[test] ...: print '\n' ...: [2 3] [0 1] ['c' 'd'] ['a' 'b'] [0 1] [2 3] ['a' 'b'] ['c' 'd'] 5.LeaveOneOut

LeaveOneOut 其实就是KFold 的一个特例,因为使用次数比较多,因此独立的定义出来,完全可以通过KFold 实现。

In [37]: from sklearn.model_selection import LeaveOneOut In [38]: X = [1,2,3,4] In [39]: loo = LeaveOneOut() In [41]: for train, test in loo.split(X): ...: print train, test ...: [1 2 3] [0] [0 2 3] [1] [0 1 3] [2] [0 1 2] [3] #使用KFold实现LeaveOneOtut In [42]: kf = KFold(n_splits=len(X)) In [43]: for train, test in kf.split(X): ...: print train, test ...: [1 2 3] [0] [0 2 3] [1] [0 1 3] [2] [0 1 2] [3] 6.LeavePOut

这个也是KFold 的一个特例,用KFold 实现起来稍麻烦些,跟LeaveOneOut 也很像。

In [44]: from sklearn.model_selection import LeavePOut In [45]: X = np.ones(4) In [46]: lpo = LeavePOut(p=2) In [47]: for train, test in lpo.split(X): ...: print train, test ...: [2 3] [0 1] [1 3] [0 2] [1 2] [0 3] [0 3] [1 2] [0 2] [1 3] [0 1] [2 3] 7.ShuffleSplit

ShuffleSplit 咋一看用法跟LeavePOut 很像,其实两者完全不一样,LeavePOut 是使得数据集经过数次分割后,所有的测试集出现的元素的集合即是完整的数据集,即无放回的抽样,而ShuffleSplit 则是有放回的抽样,只能说经过一个足够大的抽样次数后,保证测试集出现了完成的数据集的倍数。

In [48]: from sklearn.model_selection import ShuffleSplit In [49]: X = np.arange(5) In [50]: ss = ShuffleSplit(n_splits=3, test_size=.25, random_state=0) In [51]: for train_index, test_index in ss.split(X): ...: print train_index, test_index ...: [1 3 4] [2 0] [1 4 3] [0 2] [4 0 2] [1 3] 8.StratifiedKFold

这个就比较好玩了,通过指定分组,对测试集进行无放回抽样。

In [52]: from sklearn.model_selection import StratifiedKFold In [53]: X = np.ones(10) In [54]: y = [0,0,0,0,1,1,1,1,1,1] In [55]: skf = StratifiedKFold(n_splits=3) In [56]: for train, test in skf.split(X,y): ...: print train, test ...: [2 3 6 7 8 9] [0 1 4 5] [0 1 3 4 5 8 9] [2 6 7] [0 1 2 4 5 6 7] [3 8 9] 9.GroupKFold

这个跟StratifiedKFold 比较像,不过测试集是按照一定分组进行打乱的,即先分堆,然后把这些堆打乱,每个堆里的顺序还是固定不变的。

In [57]: from sklearn.model_selection import GroupKFold In [58]: X = [.1, .2, 2.2, 2.4, 2.3, 4.55, 5.8, 8.8, 9, 10] In [59]: y = ['a','b','b','b','c','c','c','d','d','d'] In [60]: groups = [1,1,1,2,2,2,3,3,3,3] In [61]: gkf = GroupKFold(n_splits=3) In [62]: for train, test in gkf.split(X,y,groups=groups): ...: print train, test ...: [0 1 2 3 4 5] [6 7 8 9] [0 1 2 6 7 8 9] [3 4 5] [3 4 5 6 7 8 9] [0 1 2] 10.LeaveOneGroupOut

这个是在GroupKFold 上的基础上混乱度又减小了,按照给定的分组方式将测试集分割下来。

In [63]: from sklearn.model_selection import LeaveOneGroupOut In [64]: X = [1, 5, 10, 50, 60, 70, 80] In [65]: y = [0, 1, 1, 2, 2, 2, 2] In [66]: groups = [1, 1, 2, 2, 3, 3, 3] In [67]: logo = LeaveOneGroupOut() In [68]: for train, test in logo.split(X, y, groups=groups): ...: print train, test ...: [2 3 4 5 6] [0 1] [0 1 4 5 6] [2 3] [0 1 2 3] [4 5 6] 11.LeavePGroupsOut

这个没啥可说的,跟上面那个一样,只是一个是单组,一个是多组

from sklearn.model_selection import LeavePGroupsOut X = np.arange(6) y = [1, 1, 1, 2, 2, 2] groups = [1, 1, 2, 2, 3, 3] lpgo = LeavePGroupsOut(n_groups=2) for train, test in lpgo.split(X, y, groups=groups): print train, test [4 5] [0 1 2 3] [2 3] [0 1 4 5] [0 1] [2 3 4 5] 12.GroupShuffleSplit

这个是有放回抽样

In [75]: from sklearn.model_selection import GroupShuffleSplit In [76]: X = [.1, .2, 2.2, 2.4, 2.3, 4.55, 5.8, .001] In [77]: y = ['a', 'b','b', 'b', 'c','c', 'c', 'a'] In [78]: groups = [1,1,2,2,3,3,4,4] In [79]: gss = GroupShuffleSplit(n_splits=4, test_size=.5, random_state=0) In [80]: for train, test in gss.split(X, y, groups=groups): ...: print train, test ...: [0 1 2 3] [4 5 6 7] [2 3 6 7] [0 1 4 5] [2 3 4 5] [0 1 6 7] [4 5 6 7] [0 1 2 3] 13.TimeSeriesSplit

针对时间序列的处理,防止未来数据的使用,分割时是将数据进行从前到后切割(这个说法其实不太恰当,因为切割是延续性的。。)

In [81]: from sklearn.model_selection import TimeSeriesSplit In [82]: X = np.array([[1,2],[3,4],[1,2],[3,4],[1,2],[3,4]]) In [83]: tscv = TimeSeriesSplit(n_splits=3) In [84]: for train, test in tscv.split(X): ...: print train, test ...: [0 1 2] [3] [0 1 2 3] [4] [0 1 2 3 4] [5]

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