本章会讨论：

分析衍生特征

时序特征衍生

借鉴文本处理

测试集的特征衍生

目标编码

在上一章《特征工程-2.特征衍生 [1/2]》，我们讨论了：

单特征衍生

双特征衍生

多特征衍生

根据第一章《特征工程-1.特征预处理》的讨论，我们对数据进行如下操作，本文的讨论都在此基础上。

示例代码：

import pandas as pd
import numpy as np

# 显示所有列
pd.set_option('display.max_columns', None)
# 设置一行的宽度
pd.set_option('display.width', 5000)

# 读取数据
t = pd.read_csv('WA_Fn-UseC_-Telco-Customer-Churn.csv')

# 标注 离散字段和连续字段
# 离散字段
category_cols = ['gender', 'SeniorCitizen', 'Partner', 'Dependents', 'PhoneService', 'MultipleLines', 'InternetService',
                 'OnlineSecurity', 'OnlineBackup', 'DeviceProtection', 'TechSupport', 'StreamingTV', 'StreamingMovies',
                 'Contract', 'PaperlessBilling', 'PaymentMethod']

# 连续字段
numeric_cols = ['tenure', 'MonthlyCharges', 'TotalCharges']

# 标签
target = 'Churn'

# ID列
ID_col = 'customerID'

# 连续字段转化
t['TotalCharges'] = t['TotalCharges'].apply(lambda x: x if x != ' ' else np.nan).astype(float)
t['MonthlyCharges'] = t['MonthlyCharges'].astype(float)

# 缺失值填补
t['TotalCharges'] = t['TotalCharges'].fillna(0)

# 标签值手动转化
t['Churn'].replace(to_replace='Yes', value=1, inplace=True)
t['Churn'].replace(to_replace='No', value=0, inplace=True)

features = t.drop(columns=[ID_col, target]).copy()

labels = t['Churn'].copy()

print(features.head(5))

print('-' * 10)

print(labels)

运行结果：

   gender  SeniorCitizen Partner Dependents  tenure PhoneService     MultipleLines InternetService OnlineSecurity OnlineBackup DeviceProtection TechSupport StreamingTV StreamingMovies        Contract PaperlessBilling              PaymentMethod  MonthlyCharges  TotalCharges
0  Female              0     Yes         No       1           No  No phone service             DSL             No          Yes               No          No          No              No  Month-to-month              Yes           Electronic check           29.85         29.85
1    Male              0      No         No      34          Yes                No             DSL            Yes           No              Yes          No          No              No        One year               No               Mailed check           56.95       1889.50
2    Male              0      No         No       2          Yes                No             DSL            Yes          Yes               No          No          No              No  Month-to-month              Yes               Mailed check           53.85        108.15
3    Male              0      No         No      45           No  No phone service             DSL            Yes           No              Yes         Yes          No              No        One year               No  Bank transfer (automatic)           42.30       1840.75
4  Female              0      No         No       2          Yes                No     Fiber optic             No           No               No          No          No              No  Month-to-month              Yes           Electronic check           70.70        151.65
----------
0       0
1       0
2       1
3       0
4       1
       ..
7038    0
7039    0
7040    0
7041    1
7042    0
Name: Churn, Length: 7043, dtype: int64

分析衍生特征

概述

分析衍生特征，也被称为手动衍生特征、人工特征衍生，是指是在经过一定分析后，手动合成一些特征。

整体上，分析衍生特征的思路有两种：

从数据业务出发。
根据对数据和业务的分析，合成新的特征。
例如，在处理量化投资业务时，我们可以手动构造一些特征。
从模型结果出发。
重点分析误分类样本的数据特性，合成新的特征。

在本文，我们讨论第一种。

标签值分布

查看标签字段的取值分布情况。示例代码：

1
2

print(f'Percentage of Churn:  {round(labels.value_counts(normalize=True)[1] * 100, 2)}%  --> ({labels.value_counts()[1]} customer)')
print(f'Percentage of customer did not churn: {round(labels.value_counts(normalize=True)[0] * 100, 2)}%  --> ({labels.value_counts()[0]} customer)')

运行结果：

1 2	Percentage of Churn: 26.54% --> (1869 customer) Percentage of customer did not churn: 73.46% --> (5174 customer)

在一共7043条数据中，流失用户占比约为26.54%，整体来看标签取值并不均匀。

我们还可以以其中某一个特征为例，以柱状图的方式，查看其与标签之间的相关性。示例代码：

sns.countplot(x="gender_Female", hue="Churn", data=df_dummies, palette="Blues", dodge=True)
plt.xlabel("Gender")
plt.title("Churn by Gender")
plt.show()

运行结果：

衍生新特征

思路

上文我们对数据进行了一定的分析。
现在，假定我们根据数据分析或业务经验，认为和用户流失非常有关联的一个因素是用户粘性，有两个指标可以用来衡量用户粘性。

新用户标识
注册时间较长的用户，一般粘性较强，而注册时间较短的用户，可能粘性较弱。
购买服务指数
用户购买的服务越多，用户粘性越大，用户流失的概率越小。

现在，我们来手动合成这两个特征。

新用户标识

标识规则

tenure表示的是用户入网时间，如果用户的tenure小于某个值，我就认为是新用户。

首先查看tenure的所有取值，示例代码：

1	print(np.sort(df_dummies['tenure'].unique()))

运行结果：

[ 0  1  2  3  4  5  6  7  8  9 10 11 12 13 14 15 16 17 18 19 20 21 22 23
 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47
 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71
 72]

np.sort，是对Numpy中的数组进行排序。关于该部分，可以参考《用Python分析数据的方法和技巧：2.numpy》

现在，假定，我们将所有tenure取值为0或1的用户标识为新用户，据此衍生出一个二分类(0/1，1表示新用户)的特征，new_customer。

新特征的生成

示例代码：

# 筛选条件
new_customer_con = (features['tenure'] <= 1)
print(new_customer_con)

new_customer = (new_customer_con * 1).values
print(new_customer)

运行结果：

0        True
1       False
2       False
3       False
4       False
        ...  
7038    False
7039    False
7040    False
7041    False
7042    False
Name: tenure, Length: 7043, dtype: bool
[1 0 0 ... 0 0 0]

新特征的组装

示例代码：

1
2
3

print(features)
features['new_customer'] = new_customer
print(features)

运行结果：

      gender  SeniorCitizen Partner Dependents  tenure PhoneService     MultipleLines InternetService OnlineSecurity OnlineBackup DeviceProtection TechSupport StreamingTV StreamingMovies        Contract PaperlessBilling              PaymentMethod  MonthlyCharges  TotalCharges
0     Female              0     Yes         No       1           No  No phone service             DSL             No          Yes               No          No          No              No  Month-to-month              Yes           Electronic check           29.85         29.85
1       Male              0      No         No      34          Yes                No             DSL            Yes           No              Yes          No          No              No        One year               No               Mailed check           56.95       1889.50
2       Male              0      No         No       2          Yes                No             DSL            Yes          Yes               No          No          No              No  Month-to-month              Yes               Mailed check           53.85        108.15
3       Male              0      No         No      45           No  No phone service             DSL            Yes           No              Yes         Yes          No              No        One year               No  Bank transfer (automatic)           42.30       1840.75
4     Female              0      No         No       2          Yes                No     Fiber optic             No           No               No          No          No              No  Month-to-month              Yes           Electronic check           70.70        151.65
...      ...            ...     ...        ...     ...          ...               ...             ...            ...          ...              ...         ...         ...             ...             ...              ...                        ...             ...           ...
7038    Male              0     Yes        Yes      24          Yes               Yes             DSL            Yes           No              Yes         Yes         Yes             Yes        One year              Yes               Mailed check           84.80       1990.50
7039  Female              0     Yes        Yes      72          Yes               Yes     Fiber optic             No          Yes              Yes          No         Yes             Yes        One year              Yes    Credit card (automatic)          103.20       7362.90
7040  Female              0     Yes        Yes      11           No  No phone service             DSL            Yes           No               No          No          No              No  Month-to-month              Yes           Electronic check           29.60        346.45
7041    Male              1     Yes         No       4          Yes               Yes     Fiber optic             No           No               No          No          No              No  Month-to-month              Yes               Mailed check           74.40        306.60
7042    Male              0      No         No      66          Yes                No     Fiber optic            Yes           No              Yes         Yes         Yes             Yes        Two year              Yes  Bank transfer (automatic)          105.65       6844.50

[7043 rows x 19 columns]
      gender  SeniorCitizen Partner Dependents  tenure PhoneService     MultipleLines InternetService OnlineSecurity OnlineBackup DeviceProtection TechSupport StreamingTV StreamingMovies        Contract PaperlessBilling              PaymentMethod  MonthlyCharges  TotalCharges  new_customer
0     Female              0     Yes         No       1           No  No phone service             DSL             No          Yes               No          No          No              No  Month-to-month              Yes           Electronic check           29.85         29.85             1
1       Male              0      No         No      34          Yes                No             DSL            Yes           No              Yes          No          No              No        One year               No               Mailed check           56.95       1889.50             0
2       Male              0      No         No       2          Yes                No             DSL            Yes          Yes               No          No          No              No  Month-to-month              Yes               Mailed check           53.85        108.15             0
3       Male              0      No         No      45           No  No phone service             DSL            Yes           No              Yes         Yes          No              No        One year               No  Bank transfer (automatic)           42.30       1840.75             0
4     Female              0      No         No       2          Yes                No     Fiber optic             No           No               No          No          No              No  Month-to-month              Yes           Electronic check           70.70        151.65             0
...      ...            ...     ...        ...     ...          ...               ...             ...            ...          ...              ...         ...         ...             ...             ...              ...                        ...             ...           ...           ...
7038    Male              0     Yes        Yes      24          Yes               Yes             DSL            Yes           No              Yes         Yes         Yes             Yes        One year              Yes               Mailed check           84.80       1990.50             0
7039  Female              0     Yes        Yes      72          Yes               Yes     Fiber optic             No          Yes              Yes          No         Yes             Yes        One year              Yes    Credit card (automatic)          103.20       7362.90             0
7040  Female              0     Yes        Yes      11           No  No phone service             DSL            Yes           No               No          No          No              No  Month-to-month              Yes           Electronic check           29.60        346.45             0
7041    Male              1     Yes         No       4          Yes               Yes     Fiber optic             No           No               No          No          No              No  Month-to-month              Yes               Mailed check           74.40        306.60             0
7042    Male              0      No         No      66          Yes                No     Fiber optic            Yes           No              Yes         Yes         Yes             Yes        Two year              Yes  Bank transfer (automatic)          105.65       6844.50             0

[7043 rows x 20 columns]

购买服务数量

在本文中，总有九项服务，我们通过如下方式的统计每位用户总共购买的服务数量。示例代码：

service_num = ((features['PhoneService'] == 'Yes') * 1
               + (features['MultipleLines'] == 'Yes') * 1
               + (features['InternetService'] == 'Yes') * 1
               + (features['OnlineSecurity'] == 'Yes') * 1
               + (features['OnlineBackup'] == 'Yes') * 1
               + (features['DeviceProtection'] == 'Yes') * 1
               + (features['TechSupport'] == 'Yes') * 1
               + (features['StreamingTV'] == 'Yes') * 1
               + (features['StreamingMovies'] == 'Yes') * 1
               ).values

print(service_num)

features['service_num'] = service_num
print(features)

运行结果：

[1 3 3 ... 1 2 6]
      gender  SeniorCitizen Partner Dependents  tenure PhoneService     MultipleLines InternetService OnlineSecurity OnlineBackup DeviceProtection TechSupport StreamingTV StreamingMovies        Contract PaperlessBilling              PaymentMethod  MonthlyCharges  TotalCharges  new_customer  service_num
0     Female              0     Yes         No       1           No  No phone service             DSL             No          Yes               No          No          No              No  Month-to-month              Yes           Electronic check           29.85         29.85             1            1
1       Male              0      No         No      34          Yes                No             DSL            Yes           No              Yes          No          No              No        One year               No               Mailed check           56.95       1889.50             0            3
2       Male              0      No         No       2          Yes                No             DSL            Yes          Yes               No          No          No              No  Month-to-month              Yes               Mailed check           53.85        108.15             0            3
3       Male              0      No         No      45           No  No phone service             DSL            Yes           No              Yes         Yes          No              No        One year               No  Bank transfer (automatic)           42.30       1840.75             0            3
4     Female              0      No         No       2          Yes                No     Fiber optic             No           No               No          No          No              No  Month-to-month              Yes           Electronic check           70.70        151.65             0            1
...      ...            ...     ...        ...     ...          ...               ...             ...            ...          ...              ...         ...         ...             ...             ...              ...                        ...             ...           ...           ...          ...
7038    Male              0     Yes        Yes      24          Yes               Yes             DSL            Yes           No              Yes         Yes         Yes             Yes        One year              Yes               Mailed check           84.80       1990.50             0            7
7039  Female              0     Yes        Yes      72          Yes               Yes     Fiber optic             No          Yes              Yes          No         Yes             Yes        One year              Yes    Credit card (automatic)          103.20       7362.90             0            6
7040  Female              0     Yes        Yes      11           No  No phone service             DSL            Yes           No               No          No          No              No  Month-to-month              Yes           Electronic check           29.60        346.45             0            1
7041    Male              1     Yes         No       4          Yes               Yes     Fiber optic             No           No               No          No          No              No  Month-to-month              Yes               Mailed check           74.40        306.60             0            2
7042    Male              0      No         No      66          Yes                No     Fiber optic            Yes           No              Yes         Yes         Yes             Yes        Two year              Yes  Bank transfer (automatic)          105.65       6844.50             0            6

[7043 rows x 21 columns]

在实践中，我们可以定义"服务购买指数"，比如某些服务比较重要，我们对其乘以5。

1	(features['InternetService'] == 'Yes') * 5

时序特征衍生

概述

时序特征，记录了时间的特征。

但其不仅仅是一个时间格式的字符串，其背后可能隐藏着非常多极有价值的信息(例如，季节性的波动规律)。
所以，我们要想办法从时序特征中衍生出更多的特征。

有序数字

衍生过程

根据上文的讨论，tenure入网时间，以月跨度，tenure的取值范围[0, 72]表示过去72个月的时间记录结果，取值越大代表时间越远。
不妨假设tenure=0表示的是2020年1月，tenure=1则代表2019年12月，tenure=2代表2019年11月，依此类推。

现在，我们可以根据tenure衍生出更细粒度的时间信息特征。

实现方法

大小颠倒

为了计算方便(用求余的方式，计算对应的月份的数值)，我们对tenure进行大小颠倒，数值越小代表时间越远。即tenure=0表示第一个月、2014年1月，tenure=72表示最后一个月，2020年1月。

示例代码：

1
2
3

print(features['tenure'].head())
features['tenure'] = (72 - features['tenure'])
print(features['tenure'].head())

运行结果：

0     1
1    34
2     2
3    45
4     2
Name: tenure, dtype: int64
0    71
1    38
2    70
3    27
4    70
Name: tenure, dtype: int64

月份

示例代码：

1 2	features['tenure_month'] = features['tenure'] % 12 + 1 print(features[['tenure', 'tenure_month']])

运行结果：

      tenure  tenure_month
0         71             2
1         38            11
2         70             3
3         27            10
4         70             3
...      ...           ...
7038      48             1
7039       0             1
7040      61            12
7041      68             5
7042       6             7

[7043 rows x 2 columns]

解释说明：月份的值域 $[1,12]$ 的整数，但是任意一个数除以 $12$ 的余数的值域是 $[0,11]$ ，所以在余数基础上 $+1$ 。

季度

示例代码：

1 2	features['tenure_quarter'] = (features['tenure'] % 12 // 3) + 1 print(features[['tenure', 'tenure_quarter']])

运行结果：

      tenure  tenure_quarter
0         71               4
1         38               1
2         70               4
3         27               2
4         70               4
...      ...             ...
7038      48               1
7039       0               1
7040      61               1
7041      68               3
7042       6               3

[7043 rows x 2 columns]

解释说明：features['tenure'] % 12的值域为 $[0,11]$ ，//的意思为做除法，然后向下取整，之后再+1，即值域是 $[1,4]$ ，表示4个季度。

年份

示例代码：

1 2	features['tenure_year'] = (features['tenure'] // 12) + 2014 print(features[['tenure', 'tenure_year']])

运行结果：

      tenure  tenure_year
0         71         2019
1         38         2017
2         70         2019
3         27         2016
4         70         2019
...      ...          ...
7038      48         2018
7039       0         2014
7040      61         2019
7041      68         2019
7042       6         2014

[7043 rows x 2 columns]

解释说明：features['tenure'] % 12的结果为 $[0,11]$ ，//的意思为做除法，然后向下取整，之后再 $+2014$ ，即对应的年份。

时间格式

对于时间格式的特征，如何提取年月日等信息，可以参考《特征工程-1.特征预处理》的"时间字段处理"的"没有丢失情况的处理"部分。

时间差值衍生

计算方法

两列相减

示例代码：

import pandas as pd

t = pd.DataFrame()
t['time'] = ['2022-01-03 02:31:52',
             '2022-07-01 14:22:01',
             '2022-08-22 08:02:31',
             '2022-04-30 11:41:31',
             '2022-05-02 22:01:27']
t['time'] = pd.to_datetime(t['time'])

print(t['time'] - t['time'])

运行结果：

0   0 days
1   0 days
2   0 days
3   0 days
4   0 days
Name: time, dtype: timedelta64[ns]

减去指定时间

定义指定时间的方法有两种：

pd.Timestamp
pd.to_datetime

示例代码：

t1 = '2022-01-03 02:31:52'

print(t['time'] - pd.Timestamp(t1))
print(t['time'] - pd.to_datetime(t1))

运行结果：

0     0 days 00:00:00
1   179 days 11:50:09
2   231 days 05:30:39
3   117 days 09:09:39
4   119 days 19:29:35
Name: time, dtype: timedelta64[ns]
0     0 days 00:00:00
1   179 days 11:50:09
2   231 days 05:30:39
3   117 days 09:09:39
4   119 days 19:29:35
Name: time, dtype: timedelta64[ns]

天数

从计算结果中，提取天数，td.dt.days。

示例代码：

1
2
3

td = t['time'] - pd.to_datetime(t1)

print(td.dt.days)

运行结果：

0      0
1    179
2    231
3    117
4    119
Name: time, dtype: int64

解释说明：相差的天数是完全忽略时分秒的结果。

秒数

忽略了天数的计算结果

从计算结果中，提取秒数，td.dt.seconds。

示例代码：

1
2
3

td = t['time'] - pd.to_datetime(t1)

print(td.dt.seconds)

运行结果：

0        0
1    42609
2    19839
3    32979
4    70175
Name: time, dtype: int64

解释说明：相差的秒数则是完全忽略了天数的计算结果

获取所有的秒数

那么，如果我们想计算时间差的所有秒数呢？
我们可以利用把天数乘以 $24*60*60$ ，还可以先将其转化为Numpy中的ndarray，然后利用Numpy的方法。

关于Numpy中的时间处理，可以参考《2.numpy》。

小时数：td.values.astype('timedelta64[h]')
秒数：td.values.astype('timedelta64[s]')

示例代码：

1 2	print(td.values.astype('timedelta64[h]')) print(td.values.astype('timedelta64[s]'))

运行结果：

1 2	[ 0 4307 5549 2817 2875] [ 0 15508209 19978239 10141779 10351775]

好！已经获取成功了！现在我们再把特征组装回去。示例代码：

import pandas as pd

t = pd.DataFrame()
t['time'] = ['2022-01-03 02:31:52',
             '2022-07-01 14:22:01',
             '2022-08-22 08:02:31',
             '2022-04-30 11:41:31',
             '2022-05-02 22:01:27']
t['time'] = pd.to_datetime(t['time'])

t1 = '2022-01-03 02:31:52'

td = (t['time'] - pd.to_datetime(t1)).values.astype('timedelta64[s]')

print(td)

t['tdiff_s'] = td

print(t['tdiff_s'].dt.seconds)

运行结果：

[       0 15508209 19978239 10141779 10351775]
0        0
1    42609
2    19839
3    32979
4    70175
Name: tdiff_s, dtype: int64

又变回去了！

保存为整数

基于Pandas进行处理，就是会"变回去"，这个和Pandas本身的设计机制有关。
解决方法是，我们把结果保存为整数，然后再作为差值衍生的衍生特征并入原始特征矩阵。

示例代码：

import pandas as pd

t = pd.DataFrame()
t['time'] = ['2022-01-03 02:31:52',
             '2022-07-01 14:22:01',
             '2022-08-22 08:02:31',
             '2022-04-30 11:41:31',
             '2022-05-02 22:01:27']
t['time'] = pd.to_datetime(t['time'])

t1 = '2022-01-03 02:31:52'

td = t['time'] - pd.to_datetime(t1)

t['time_diff_h'] = td.values.astype('timedelta64[h]').astype('int')
t['time_diff_s'] = td.values.astype('timedelta64[s]').astype('int')

print(t)

运行结果：

                 time  time_diff_h  time_diff_s
0 2022-01-03 02:31:52            0            0
1 2022-07-01 14:22:01         4307     15508209
2 2022-08-22 08:02:31         5549     19978239
3 2022-04-30 11:41:31         2817     10141779
4 2022-05-02 22:01:27         2875     10351775

月份

年份相减，然后月份相减，最后年份乘以12加上月份。示例代码：

import pandas as pd

# 创建一个示例DataFrame
df = pd.DataFrame({'start_date': ['2020-01-01', '2020-02-01', '2020-03-01'],
                   'end_date': ['2020-04-01', '2020-05-01', '2020-06-01']})

# 将日期列转换为Pandas的日期类型
df['start_date'] = pd.to_datetime(df['start_date'])
df['end_date'] = pd.to_datetime(df['end_date'])

# 计算月份差异
df['month_diff'] = (df['end_date'].dt.year - df['start_date'].dt.year) * 12 + \
                   (df['end_date'].dt.month - df['start_date'].dt.month)

print(df)

运行结果：

  start_date   end_date  month_diff
0 2020-01-01 2020-04-01           3
1 2020-02-01 2020-05-01           3
2 2020-03-01 2020-06-01           3

示例代码：

import pandas as pd

t = pd.DataFrame()
t['time'] = ['2022-01-03 02:31:52',
             '2022-07-01 14:22:01',
             '2022-08-22 08:02:31',
             '2022-04-30 11:41:31',
             '2022-05-02 22:01:27']
t['time'] = pd.to_datetime(t['time'])

t1 = '2022-01-03 02:31:52'

t1 = pd.to_datetime(t1)


print((t['time'].dt.year - t1.year) * 12 + (t['time'].dt.month - t1.month))

运行结果：

0    0
1    6
2    7
3    3
4    4
Name: time, dtype: int64

在有些资料中，计算月份数的方式是用相差的天数除以30，这种方法丢失了精度。

还有些资料会利用dateutil.relativedelta，这种方法不会丢失精度。但是需要使用apply函数将relativedelta函数应用于每一行，会比较慢。如果DataFrame中有大量的数据，不建议。

利用dateutil.relativedelta和apply的例子：

import pandas as pd
from dateutil.relativedelta import relativedelta

# 创建一个示例数据集
data = {'start_date': ['2020-01-01', '2020-02-01', '2020-03-01'],
        'end_date': ['2020-03-01', '2020-05-01', '2020-06-01']}
df = pd.DataFrame(data)

# 将日期列转换为datetime类型
df['start_date'] = pd.to_datetime(df['start_date'])
df['end_date'] = pd.to_datetime(df['end_date'])

# 计算相差月份
df['months_diff'] = df.apply(lambda row: relativedelta(row['end_date'], row['start_date']).months, axis=1)

print(df)

几个特殊时间

最大值和最小值

.max()：最大值。
.min()：最小值。

示例代码：

import pandas as pd

t = pd.DataFrame()
t['time'] = ['2022-01-03 02:31:52',
             '2022-07-01 14:22:01',
             '2022-08-22 08:02:31',
             '2022-04-30 11:41:31',
             '2022-05-02 22:01:27']
t['time'] = pd.to_datetime(t['time'])

t['max_time'] = t['time'].max()
t['min_time'] = t['time'].min()

print(t)

运行结果：

                 time            max_time            min_time
0 2022-01-03 02:31:52 2022-08-22 08:02:31 2022-01-03 02:31:52
1 2022-07-01 14:22:01 2022-08-22 08:02:31 2022-01-03 02:31:52
2 2022-08-22 08:02:31 2022-08-22 08:02:31 2022-01-03 02:31:52
3 2022-04-30 11:41:31 2022-08-22 08:02:31 2022-01-03 02:31:52
4 2022-05-02 22:01:27 2022-08-22 08:02:31 2022-01-03 02:31:52

当前时间

有时候我们还需要获取当前时间。示例代码：

import datetime

import pandas as pd

print(datetime.datetime.now())

print(pd.to_datetime(datetime.datetime.now()))

运行结果：

1 2	2023-04-12 19:44:12.773518 2023-04-12 19:44:12.773555

解释说明：为了便于计算，我们利用pd.to_datetime，对其进行了数据类型转换。

函数封装

from datetime import datetime
import pandas as pd

def time_series_creation(time_series: pd.Series, time_stamp: dict = None, precision_high: bool = False):
    """
    时序字段的特征衍生

    :param time_series：时序特征，需要是一个Series
    :param time_stamp：手动输入的关键时间节点的时间戳，需要组成字典形式，字典的key、value分别是时间戳的名字与字符串
    :param precision_high：是否精确到时、分、秒
    :return features_new, col_names_new：返回创建的新特征矩阵和特征名称
    """

    # 创建衍生特征df
    features_new = pd.DataFrame()

    # 提取时间字段及时间字段的名称
    time_series = pd.to_datetime(time_series)
    col_names = time_series.name

    # 年月日信息提取
    features_new[col_names + '_year'] = time_series.dt.year
    features_new[col_names + '_month'] = time_series.dt.month
    features_new[col_names + '_day'] = time_series.dt.day

    if precision_high:
        features_new[col_names + '_hour'] = time_series.dt.hour
        features_new[col_names + '_minute'] = time_series.dt.minute
        features_new[col_names + '_second'] = time_series.dt.second

    # 自然周期提取
    features_new[col_names + '_quarter'] = time_series.dt.quarter
    # features_new[col_names + '_weekofyear'] = time_series.dt.weekofyear
    # Series.dt.weekofyear and Series.dt.week have been deprecated.Please use Series.dt.isocalendar().week instead.
    features_new[col_names + '_weekofyear'] = time_series.dt.isocalendar().week
    features_new[col_names + '_dayofweek'] = time_series.dt.dayofweek + 1
    features_new[col_names + '_weekend'] = (features_new[col_names + '_dayofweek'] > 5).astype(int)

    if precision_high:
        features_new['hour_section'] = (features_new[col_names + '_hour'] // 6).astype(int)

    # 关键时间点时间差计算
    # 创建关键时间戳名称的列表和时间戳列表
    time_stamp_name_l = []
    time_stamp_l = []

    if time_stamp is not None:
        time_stamp_name_l = list(time_stamp.keys())
        time_stamp_l = [pd.to_datetime(x) for x in list(time_stamp.values())]

    # 准备通用关键时间点时间戳
    time_max = time_series.max()
    time_min = time_series.min()
    time_now = pd.to_datetime(datetime.now().strftime('%Y-%m-%d %H:%M:%S'))
    time_stamp_name_l.extend(['time_max', 'time_min', 'time_now'])
    time_stamp_l.extend([time_max, time_min, time_now])

    # 时间差特征衍生
    for time_stamp, time_stampName in zip(time_stamp_l, time_stamp_name_l):
        time_diff = time_series - time_stamp
        features_new['time_diff_days' + '_' + time_stampName] = time_diff.dt.days
        # features_new['time_diff_months'+'_'+time_stampName] = np.round(features_new['time_diff_days'+'_'+time_stampName] / 30).astype('int')
        features_new['time_diff_months' + '_' + time_stampName] = (time_series.dt.year - time_stamp.year) * 12 + (time_series.dt.month - time_stamp.month)

        if precision_high:
            features_new['time_diff_seconds' + '_' + time_stampName] = time_diff.dt.seconds
            features_new['time_diff_h' + '_' + time_stampName] = time_diff.values.astype('timedelta64[h]').astype('int')
            features_new['time_diff_s' + '_' + time_stampName] = time_diff.values.astype('timedelta64[s]').astype('int')

    col_names_new = list(features_new.columns)
    return features_new, col_names_new

示例代码：

import pandas as pd

# 显示所有列
pd.set_option('display.max_columns', None)
# 设置一行的宽度
pd.set_option('display.width', 5000)

t = pd.DataFrame()
t['time'] = ['2022-01-03 02:31:52',
             '2022-07-01 14:22:01',
             '2022-08-22 08:02:31',
             '2022-04-30 11:41:31',
             '2022-05-02 22:01:27']

timeStamp = {'p1': '2022-03-25 23:21:52', 'p2': '2022-02-15 08:51:02'}

features_new, col_names_new = time_series_creation(time_series=t['time'], time_stamp=timeStamp, precision_high=True)

print(features_new)
print(col_names_new)

运行结果：

   time_year  time_month  time_day  time_hour  time_minute  time_second  time_quarter  time_weekofyear  time_dayofweek  time_weekend  hour_section  time_diff_days_p1  time_diff_months_p1  time_diff_seconds_p1  time_diff_h_p1  time_diff_s_p1  time_diff_days_p2  time_diff_months_p2  time_diff_seconds_p2  time_diff_h_p2  time_diff_s_p2  time_diff_days_time_max  time_diff_months_time_max  time_diff_seconds_time_max  time_diff_h_time_max  time_diff_s_time_max  time_diff_days_time_min  time_diff_months_time_min  time_diff_seconds_time_min  time_diff_h_time_min  time_diff_s_time_min  time_diff_days_time_now  time_diff_months_time_now  time_diff_seconds_time_now  time_diff_h_time_now  time_diff_s_time_now
0       2022           1         3          2           31           52             1                1               1             0             0                -82                   -2                 11400           -1965        -7073400                -44                   -1                 63650           -1039        -3737950                     -232                         -7                       66561                 -5550             -19978239                        0                          0                           0                     0                     0                     -478                        -15                       61336                -11455             -41237864
1       2022           7         1         14           22            1             3               26               5             0             2                 97                    4                 54009            2343         8434809                136                    5                 19859            3269        11770259                      -52                         -1                       22770                 -1242              -4470030                      179                          6                       42609                  4307              15508209                     -298                         -9                       17545                 -7148             -25729655
2       2022           8        22          8            2           31             3               34               1             0             1                149                    5                 31239            3584        12904839                187                    6                 83489            4511        16240289                        0                          0                           0                     0                     0                      231                          7                       19839                  5549              19978239                     -247                         -8                       81175                 -5906             -21259625
3       2022           4        30         11           41           31             2               17               6             1             1                 35                    1                 44379             852         3068379                 74                    2                 10229            1778         6403829                     -114                         -4                       13140                 -2733              -9836460                      117                          3                       32979                  2817              10141779                     -360                        -12                        7915                 -8638             -31096085
4       2022           5         2         22            1           27             2               18               1             0             3                 37                    2                 81575             910         3278375                 76                    3                 47425            1837         6613825                     -112                         -3                       50336                 -2675              -9626464                      119                          4                       70175                  2875              10351775                     -358                        -11                       45111                 -8580             -30886089
['time_year', 'time_month', 'time_day', 'time_hour', 'time_minute', 'time_second', 'time_quarter', 'time_weekofyear', 'time_dayofweek', 'time_weekend', 'hour_section', 'time_diff_days_p1', 'time_diff_months_p1', 'time_diff_seconds_p1', 'time_diff_h_p1', 'time_diff_s_p1', 'time_diff_days_p2', 'time_diff_months_p2', 'time_diff_seconds_p2', 'time_diff_h_p2', 'time_diff_s_p2', 'time_diff_days_time_max', 'time_diff_months_time_max', 'time_diff_seconds_time_max', 'time_diff_h_time_max', 'time_diff_s_time_max', 'time_diff_days_time_min', 'time_diff_months_time_min', 'time_diff_seconds_time_min', 'time_diff_h_time_min', 'time_diff_s_time_min', 'time_diff_days_time_now', 'time_diff_months_time_now', 'time_diff_seconds_time_now', 'time_diff_h_time_now', 'time_diff_s_time_now']

工作经验

对于周期，可以从自然周期和业务周期两个方面进行考虑。
多数情况下关注分和秒都是毫无意义的，但量化交易场景除外。
可以在时序衍生特征的基础上，进行第二轮的特征衍生。
但是，同一个来源的时序特征，之间，再进行第二轮的特征衍生，这没有任何意义。
通常是时序特征，与其他的非时序特征，或者与其他业务含义不同的时序特征(或来源不同的时序特征)之间进行第二轮特征衍生。

借鉴文本处理

文本处理思想

在《经典机器学习及其Python实现：1.特征抽取》的"文本的特征抽取"部分，我们讨论过两种文本处理方法：count和tf-idf。
在《深度学习初步及其Python实现：8.循环神经网络》的"序列"部分，我们还讨论了一种文本处理方法：Embedding。

本文借鉴的是count和tf-idf。

复习一下，为什么会有tf-idf，为了弥补count的缺陷。
count的缺陷是什么？
大量的语气词，或者辅助词等。会影响我们对"文章分类"的判断，换言之，count无法表示某个词是否重要。

那么，是不是悟到了什么？
在上一章《特征工程-2.特征衍生 [1/2]》，讨论过分组统计，不管怎么是哪种统计指标，都存在一个"缺陷"，不能表示某个特征是否重要。
据此，我们借鉴tf-idf的思想，进行特征衍生。

实现方法

在案例中，有一些相似的离散特征，即用户购买服务特征，我们以其中三个特征(OnlineSecurity、OnlineBackup和DeviceProtection)为例。

CountVectorizer

该部分，其实就是在分组统计。示例代码：

tar_col = ['OnlineSecurity', 'OnlineBackup', 'DeviceProtection']
key_col = 'tenure'

features_oe = pd.DataFrame()
features_oe[key_col] = features[key_col]

for col in tar_col:
    features_oe[col] = (features[col] == 'Yes') * 1

print(features_oe)

运行结果：

      tenure  OnlineSecurity  OnlineBackup  DeviceProtection
0          1               0             1                 0
1         34               1             0                 1
2          2               1             1                 0
3         45               1             0                 1
4          2               0             0                 0
...      ...             ...           ...               ...
7038      24               1             0                 1
7039      72               0             1                 1
7040      11               1             0                 0
7041       4               0             0                 0
7042      66               1             0                 1

[7043 rows x 4 columns]

然后，使用groupby的方法、通过sum的方式计算组内求和。示例代码：

1 2	count = features_oe.groupby(key_col).sum() print(count)

运行结果：

        OnlineSecurity  OnlineBackup  DeviceProtection
tenure                                                
0                    4             4                 4
1                   37            47                41
2                   27            38                30
3                   20            35                33
4                   24            32                26
...                ...           ...               ...
68                  51            65                58
69                  38            50                49
70                  66            77                78
71                  91           104               102
72                 236           252               259

[73 rows x 3 columns]

TF-IDF

示例代码：

transformer = TfidfTransformer()
tfidf = transformer.fit_transform(count)

print(tfidf.toarray()[:5])
print(tfidf.toarray().shape)
print(transformer.get_feature_names_out())

运行结果：

[[0.57735027 0.57735027 0.57735027]
 [0.51021138 0.64810634 0.56536936]
 [0.48706002 0.68549188 0.5411778 ]
 [0.38390615 0.67183577 0.63344515]
 [0.50306617 0.67075489 0.54498835]]
(73, 3)
['OnlineSecurity' 'OnlineBackup' 'DeviceProtection']

解释说明：这里是TfidfTransformer，而不是TfidfVectorizer，两者的区别在于：

TfidfTransformer：入参是统计后的词频
TfidfVectorizer：入参是原始的文本

函数封装

import pandas as pd
from sklearn.feature_extraction.text import TfidfTransformer

def nlp_group_statistics(features: pd.DataFrame,
                         col_cat: list,
                         key_col: str(list) = None,
                         tfidf: bool = True,
                         count_vec: bool = True):
    """
    多变量分组统计特征衍生函数

    :param features: 原始数据集
    :param col_cat: 参与衍生的离散型变量，只能带入多个列
    :param key_col: 分组参考的关键变量，输入字符串时代表按照单独列分组，输入list代表按照多个列进行分组
    :param tfidf: 是否进行tfidf计算
    :param count_vec: 是否进行count_vectorizer计算

    :return：NLP特征衍生后的新特征和新特征的名称
    """

    # 提取所有需要带入计算的特征名称和特征
    if key_col is not None:
        if type(key_col) == str:
            key_col = [key_col]
        col_name_temp = key_col.copy()
        col_name_temp.extend(col_cat)
        features = features[col_name_temp]
    else:
        features = features[col_cat]

    # 定义count_vectorizer计算和TF-IDF计算过程
    def col_stat(features_col_stat: pd.DataFrame = features,
                 col_cat_col_stat: list = col_cat,
                 key_col_col_stat: str(list) = key_col,
                 count_vec_col_stat: bool = count_vec,
                 tfidf_col_stat: bool = tfidf):
        """
        count_vectorizer计算和TF-IDF计算函数
        返回结果需要注意，此处返回带有key_col的衍生特征矩阵及特征名称
        """
        n = len(key_col_col_stat)
        col_cat_col_stat = [x + '_' + '_'.join(key_col_col_stat) for x in col_cat_col_stat]
        if tfidf_col_stat:
            # 计算count_vectorizer
            features_col_stat_new_cntv = features_col_stat.groupby(key_col_col_stat).sum().reset_index()
            col_names_new_cntv = key_col_col_stat.copy()
            col_names_new_cntv.extend([x + '_cntv' for x in col_cat_col_stat])
            features_col_stat_new_cntv.columns = col_names_new_cntv

            # 计算TF-IDF
            transformer_col_stat = TfidfTransformer()
            tfidf_df = transformer_col_stat.fit_transform(features_col_stat_new_cntv.iloc[:, n:]).toarray()
            col_names_new_tfv = [x + '_tfidf' for x in col_cat_col_stat]
            features_col_stat_new_tfv = pd.DataFrame(tfidf_df, columns=col_names_new_tfv)

            if count_vec_col_stat:
                features_col_stat_new = pd.concat([features_col_stat_new_cntv, features_col_stat_new_tfv], axis=1)
                col_names_new_cntv.extend(col_names_new_tfv)
                col_names_col_stat_new = col_names_new_cntv
            else:
                col_names_col_stat_new = pd.concat([features_col_stat_new_cntv[:, :n], features_col_stat_new_tfv],
                                                   axis=1)
                features_col_stat_new = key_col_col_stat + features_col_stat_new_tfv

        # 如果只计算count_vectorizer时
        elif count_vec_col_stat:
            features_col_stat_new_cntv = features_col_stat.groupby(key_col_col_stat).sum().reset_index()
            col_names_new_cntv = key_col_col_stat.copy()
            col_names_new_cntv.extend([x + '_cntv' for x in col_cat_col_stat])
            features_col_stat_new_cntv.columns = col_names_new_cntv

            col_names_col_stat_new = col_names_new_cntv
            features_col_stat_new = features_col_stat_new_cntv

        return features_col_stat_new, col_names_col_stat_new

    # key_col==None时对原始数据进行NLP特征衍生
    # 此时无需进行count_vectorizer计算
    if key_col is None:
        if tfidf:
            transformer = TfidfTransformer()
            tfidf = transformer.fit_transform(features).toarray()
            col_names_new = [x + '_tfidf' for x in col_cat]
            features_new = pd.DataFrame(tfidf, columns=col_names_new)

    # key_col!=None时对分组汇总后的数据进行NLP特征衍生
    else:
        n = len(key_col)
        # 如果是依据单个特征取值进行分组
        if n == 1:
            features_new, col_names_new = col_stat()
            # 将分组统计结果拼接回原矩阵
            features_new = pd.merge(features[key_col[0]], features_new, how='left', on=key_col[0])
            features_new = features_new.iloc[:, n:]
            col_names_new = features_new.columns

        # 如果是多特征交叉分组
        else:
            features_new, col_names_new = col_stat()
            # 在原数据集中生成合并主键
            features_key1, col1 = multi_cross_combination(key_col, features, one_hot=False)
            # 在衍生特征数据集中创建合并主键
            features_key2, col2 = multi_cross_combination(key_col, features_new, one_hot=False)
            features_key2 = pd.concat([features_key2, features_new], axis=1)
            # 将分组统计结果拼接回原矩阵
            features_new = pd.merge(features_key1, features_key2, how='left', on=col1)
            features_new = features_new.iloc[:, n + 1:]
            col_names_new = features_new.columns

    return features_new, col_names_new

示例代码：

f_tar_col = ['OnlineSecurity', 'OnlineBackup', 'DeviceProtection']
f_key_col = 'tenure'

features_oe = pd.DataFrame()
features_oe[f_key_col] = features[f_key_col]

for col in f_tar_col:
    features_oe[col] = (features[col] == 'Yes') * 1

col_cat = ['OnlineBackup', 'DeviceProtection']
key_col = ['tenure', 'OnlineSecurity']

features_new, col_names_new = nlp_group_statistics(features_oe, col_cat, key_col)

print(features_new)
print(col_names_new)

运行结果：

      OnlineBackup_tenure_OnlineSecurity_cntv  DeviceProtection_tenure_OnlineSecurity_cntv  OnlineBackup_tenure_OnlineSecurity_tfidf  DeviceProtection_tenure_OnlineSecurity_tfidf
0                                          41                                           38                                  0.733430                                      0.679765
1                                          11                                           10                                  0.739940                                      0.672673
2                                           9                                            4                                  0.913812                                      0.406138
3                                          13                                           15                                  0.654931                                      0.755689
4                                          29                                           26                                  0.744569                                      0.667545
...                                       ...                                          ...                                       ...                                           ...
7038                                        7                                            7                                  0.707107                                      0.707107
7039                                       53                                           52                                  0.713809                                      0.700341
7040                                        1                                            2                                  0.447214                                      0.894427
7041                                       25                                           21                                  0.765705                                      0.643192
7042                                       31                                           29                                  0.730271                                      0.683157

[7043 rows x 4 columns]
Index(['OnlineBackup_tenure_OnlineSecurity_cntv', 'DeviceProtection_tenure_OnlineSecurity_cntv', 'OnlineBackup_tenure_OnlineSecurity_tfidf', 'DeviceProtection_tenure_OnlineSecurity_tfidf'], dtype='object')

不进行分组，只计算TF-IDF。示例代码：

col_cat = ['OnlineSecurity', 'OnlineBackup', 'DeviceProtection']

features_new, col_names_new = nlp_group_statistics(features_oe, col_cat)

print(features_new)
print(col_names_new)

运行结果：

      OnlineSecurity_tfidf  OnlineBackup_tfidf  DeviceProtection_tfidf
0                 0.000000            1.000000                0.000000
1                 0.736254            0.000000                0.676705
2                 0.736725            0.676193                0.000000
3                 0.736254            0.000000                0.676705
4                 0.000000            0.000000                0.000000
...                    ...                 ...                     ...
7038              0.736254            0.000000                0.676705
7039              0.000000            0.706613                0.707600
7040              1.000000            0.000000                0.000000
7041              0.000000            0.000000                0.000000
7042              0.736254            0.000000                0.676705

[7043 rows x 3 columns]
['OnlineSecurity_tfidf', 'OnlineBackup_tfidf', 'DeviceProtection_tfidf']

工作经验

如果特征之间相互关联，而且能描述一件完整的事情。考虑进行tf-idf。
如果某个离散特征，其取值较多，并且都是名义变量。
例如，购买商品的种类，这个特征共有20个取值，然后我们可以把这20个取值，看成20个特征，进行tf-idf。
(其实可以作为①的一种特例)
多个特征之间适合进行tf-idf。
这个和NLP本身的应用场景有关，NLP适合，句子比较短，单词的词库比较大的场景。
对单独的列进行tf-idf没有任何意义。

测试集的特征衍生

关注点

一般测试集的数据会远少于训练集的数据。在对测试集进行特征衍生的时候，如果只依靠测试集，其衍生得到的特征可能会存在缺失或者和训练集衍生的到的特征差异很大。

交叉组合

存在缺失

假设5和6是测试集。如果仅根据测试集进行交叉组合衍生，会缺失两个特征，(0,0)和(0,1)。

原始特征			衍生特征 Partner_SerniorCitizen
ID	Partner	SerniorCitizen	(0,0)	(0,1)	(1,0)	(1,1)
1	0	0	1	0	0	0
2	0	1	0	1	0	0
3	1	0	0	0	1	0
4	1	1	0	0	0	1
5	1	1	0	0	0	1
6	1	0	0	0	1	0

也有一种极端的情况，通过测试集衍生得到的特征多于训练集的特征。
造成这种现象的原因很多。
如果出现这种现象，一般我们的模型需要进行调整。

features_padding_zero

对于缺失值的处理，我们在《特征工程-1.特征预处理》我们就有过讨论。
在这里，对于缺失的特征，我们根据交叉组合的衍生规则，补充为0。

def features_padding_zero(features_train_new: pd.DataFrame,
                          features_test_new: pd.DataFrame,
                          col_names_train_new: list,
                          col_names_test_new: list):
    """
    特征零值填补函数

    :param features_train_new: 训练集衍生特征
    :param features_test_new: 测试集衍生特征
    :param col_names_train_new: 训练集衍生列名称
    :param col_names_test_new: 测试集衍生列名称

    :return：0值填补后的新特征和特征名称
    """

    # 如果训练集少了列
    sub_col_names_test_train = list(set(col_names_test_new) - set(col_names_train_new))
    if len(sub_col_names_test_train) > 0:
        # 告警
        pass

    # 如果测试集少了列
    sub_col_names_train_test = list(set(col_names_train_new) - set(col_names_test_new))
    if len(sub_col_names_train_test) > 0:
        for col in sub_col_names_train_test:
            features_test_new[col] = 0

        # 测试集
        features_test_new = features_test_new[col_names_train_new]
        col_names_test_new = list(features_test_new.columns)

    assert col_names_train_new == col_names_test_new
    return features_train_new, features_test_new, col_names_train_new, col_names_test_new

示例代码：

import pandas as pd

# 显示所有列
pd.set_option('display.max_columns', None)
# 设置一行的宽度
pd.set_option('display.width', 5000)

x_train = pd.DataFrame({'Partner': [0, 0, 1, 1], 'SerniorCitizen': [0, 1, 0, 1]})
x_test = pd.DataFrame({'Partner': [1, 1], 'SerniorCitizen': [1, 0]})

print(x_train)
print(x_test)

features_train_new, col_names_train_new = binary_cross_combination(col_names=list(x_train.columns), features=x_train)
features_test_new, col_names_test_new = binary_cross_combination(col_names=list(x_test.columns), features=x_test)

print(col_names_train_new)
print(col_names_test_new)

features_train_new, features_test_new, col_names_train_new, col_names_test_new = features_padding_zero(
    features_train_new=features_train_new,
    features_test_new=features_test_new,
    col_names_train_new=col_names_train_new,
    col_names_test_new=col_names_test_new)

print(features_train_new)
print(features_test_new)
print(col_names_train_new)
print(col_names_test_new)

运行结果：

   Partner  SerniorCitizen
0        0               0
1        0               1
2        1               0
3        1               1
   Partner  SerniorCitizen
0        1               1
1        1               0
['Partner_SerniorCitizen_0_0', 'Partner_SerniorCitizen_0_1', 'Partner_SerniorCitizen_1_0', 'Partner_SerniorCitizen_1_1']
['Partner_SerniorCitizen_1_0', 'Partner_SerniorCitizen_1_1']
   Partner_SerniorCitizen_0_0  Partner_SerniorCitizen_0_1  Partner_SerniorCitizen_1_0  Partner_SerniorCitizen_1_1
0                         1.0                         0.0                         0.0                         0.0
1                         0.0                         1.0                         0.0                         0.0
2                         0.0                         0.0                         1.0                         0.0
3                         0.0                         0.0                         0.0                         1.0
   Partner_SerniorCitizen_0_0  Partner_SerniorCitizen_0_1  Partner_SerniorCitizen_1_0  Partner_SerniorCitizen_1_1
0                           0                           0                         0.0                         1.0
1                           0                           0                         1.0                         0.0
['Partner_SerniorCitizen_0_0', 'Partner_SerniorCitizen_0_1', 'Partner_SerniorCitizen_1_0', 'Partner_SerniorCitizen_1_1']
['Partner_SerniorCitizen_0_0', 'Partner_SerniorCitizen_0_1', 'Partner_SerniorCitizen_1_0', 'Partner_SerniorCitizen_1_1']

cross_combination

cross_combination：

将双特征的交叉组合特征衍生、多特征的交叉组合特征衍生统一为一个。
比较通过训练集衍生得到的特征和通过测试集衍生得到的特征，判断是否需要进行features_padding_zero。

def cross_combination(col_names: list,
                      x_train: pd.DataFrame,
                      x_test: pd.DataFrame,
                      multi: bool = False,
                      one_hot: bool = True):
    """
    交叉组合特征衍生函数

    :param col_names: 参与交叉衍生的列名称
    :param x_train: 训练集特征
    :param x_test: 测试集特征
    :param multi: 是否进行多变量交叉组合
    :param one_hot: 是否进行独热编码

    :return：交叉衍生后的新特征和特征名称
    """
    # 首先，训练集和测试集单独进行交叉组合特征衍生
    if not multi:
        features_train_new, col_names_train_new = binary_cross_combination(col_names=col_names, features=x_train,
                                                                           one_hot=one_hot)
        features_test_new, col_names_test_new = binary_cross_combination(col_names=col_names, features=x_test,
                                                                         one_hot=one_hot)
    else:
        features_train_new, col_names_train_new = multi_cross_combination(col_names=col_names, features=x_train,
                                                                          one_hot=one_hot)
        features_test_new, col_names_test_new = multi_cross_combination(col_names=col_names, features=x_test,
                                                                        one_hot=one_hot)

    # 然后判断训练集和测试集的衍生特征是否存在差异
    if col_names_train_new != col_names_test_new:
        features_train_new, features_test_new, col_names_train_new, col_names_test_new = features_padding_zero(
            features_train_new=features_train_new,
            features_test_new=features_test_new,
            col_names_train_new=col_names_train_new,
            col_names_test_new=col_names_test_new)
    return features_train_new, features_test_new, col_names_train_new, col_names_test_new

示例代码：

import pandas as pd

# 显示所有列
pd.set_option('display.max_columns', None)
# 设置一行的宽度
pd.set_option('display.width', 5000)

x_train = pd.DataFrame({'Partner': [0, 0, 1, 1], 'SerniorCitizen': [0, 1, 0, 1]})
x_test = pd.DataFrame({'Partner': [1, 1], 'SerniorCitizen': [1, 0]})

print(x_train)
print(x_test)

col_names = list(x_train.columns)

features_train_new, features_test_new, col_names_train_new, col_names_test_new = cross_combination(col_names, x_train,
                                                                                                   x_test)

print(features_train_new)
print(features_test_new)
print(col_names_train_new)
print(col_names_test_new)

运行结果：

   Partner  SerniorCitizen
0        0               0
1        0               1
2        1               0
3        1               1
   Partner  SerniorCitizen
0        1               1
1        1               0
   Partner_SerniorCitizen_0_0  Partner_SerniorCitizen_0_1  Partner_SerniorCitizen_1_0  Partner_SerniorCitizen_1_1
0                         1.0                         0.0                         0.0                         0.0
1                         0.0                         1.0                         0.0                         0.0
2                         0.0                         0.0                         1.0                         0.0
3                         0.0                         0.0                         0.0                         1.0
   Partner_SerniorCitizen_0_0  Partner_SerniorCitizen_0_1  Partner_SerniorCitizen_1_0  Partner_SerniorCitizen_1_1
0                           0                           0                         0.0                         1.0
1                           0                           0                         1.0                         0.0
['Partner_SerniorCitizen_0_0', 'Partner_SerniorCitizen_0_1', 'Partner_SerniorCitizen_1_0', 'Partner_SerniorCitizen_1_1']
['Partner_SerniorCitizen_0_0', 'Partner_SerniorCitizen_0_1', 'Partner_SerniorCitizen_1_0', 'Partner_SerniorCitizen_1_1']

多项式

对于测试集的多项式特征衍生，不会存在缺失特征或者衍生差异很大的情况。

def polynomial_features(col_names: list,
                        degree: int,
                        x_train: pd.DataFrame,
                        x_test: pd.DataFrame,
                        multi: bool = False):
    """
    多项式衍生函数

    :param col_names: 参与交叉衍生的列名称
    :param degree: 多项式最高阶
    :param x_train: 训练集特征
    :param x_test: 测试集特征
    :param multi: 是否进行多变量多项式组衍生

    :return：多项式衍生后的新特征和新列名称
    """
    if not multi:
        features_train_new, col_names_train_new = binary_polynomial_features(col_names=col_names, degree=degree,
                                                                             features=x_train)
        features_test_new, col_names_test_new = binary_polynomial_features(col_names=col_names, degree=degree,
                                                                           features=x_test)
    else:
        features_train_new, col_names_train_new = multi_polynomial_features(col_names=col_names, degree=degree,
                                                                            features=x_train)
        features_test_new, col_names_test_new = multi_polynomial_features(col_names=col_names, degree=degree,
                                                                          features=x_test)

    return features_train_new, features_test_new, col_names_train_new, col_names_test_new

示例代码：

from sklearn.model_selection import train_test_split

# 参数定义
col_names = ['tenure', 'MonthlyCharges', 'TotalCharges']
degree = 3

x_train, x_test = train_test_split(features)

# 执行多变量多项式特征衍生
features_train_new, features_test_new, col_names_train_new, col_names_test_new = polynomial_features(col_names, degree,
                                                                                                     x_train, x_test,
                                                                                                     multi=True)

# 结果查看
print(features_train_new.head(5))
print(features_test_new.head(5))

运行结果：

   tenure_MonthlyCharges_TotalCharges_200  tenure_MonthlyCharges_TotalCharges_110  tenure_MonthlyCharges_TotalCharges_101  tenure_MonthlyCharges_TotalCharges_020  tenure_MonthlyCharges_TotalCharges_011  tenure_MonthlyCharges_TotalCharges_002  tenure_MonthlyCharges_TotalCharges_300  tenure_MonthlyCharges_TotalCharges_210  tenure_MonthlyCharges_TotalCharges_201  tenure_MonthlyCharges_TotalCharges_120  tenure_MonthlyCharges_TotalCharges_111  tenure_MonthlyCharges_TotalCharges_102  tenure_MonthlyCharges_TotalCharges_030  tenure_MonthlyCharges_TotalCharges_021  tenure_MonthlyCharges_TotalCharges_012  tenure_MonthlyCharges_TotalCharges_003
0                                   121.0                                  824.45                                 8970.50                               5617.5025                               61121.725                            6.650402e+05                                  1331.0                                 9068.95                                98675.50                              61792.5275                            6.723390e+05                            7.315443e+06                            4.210318e+05                            4.581073e+06                            4.984477e+07                            5.423403e+08
1                                  3249.0                                 1117.20                                66721.35                                384.1600                               22942.780                            1.370187e+06                                185193.0                                63680.40                              3803116.95                              21897.1200                            1.307738e+06                            7.810068e+07                            7.529536e+03                            4.496785e+05                            2.685567e+07                            1.603873e+09
2                                  4096.0                                 5529.60                               348291.20                               7464.9600                              470193.120                            2.961591e+07                                262144.0                               353894.40                             22290636.80                             477757.4400                            3.009236e+07                            1.895418e+09                            6.449725e+05                            4.062469e+07                            2.558814e+09                            1.611713e+11
3                                   625.0                                 2637.50                                67151.25                              11130.2500                              283378.275                            7.214865e+06                                 15625.0                                65937.50                              1678781.25                             278256.2500                            7.084457e+06                            1.803716e+08                            1.174241e+06                            2.989641e+07                            7.611682e+08                            1.937949e+10
4                                   676.0                                 1457.30                                40383.20                               3141.6025                               87056.860                            2.412430e+06                                 17576.0                                37889.80                              1049963.20                              81681.6650                            2.263478e+06                            6.272319e+07                            1.760868e+05                            4.879537e+06                            1.352167e+08                            3.746987e+09
   tenure_MonthlyCharges_TotalCharges_200  tenure_MonthlyCharges_TotalCharges_110  tenure_MonthlyCharges_TotalCharges_101  tenure_MonthlyCharges_TotalCharges_020  tenure_MonthlyCharges_TotalCharges_011  tenure_MonthlyCharges_TotalCharges_002  tenure_MonthlyCharges_TotalCharges_300  tenure_MonthlyCharges_TotalCharges_210  tenure_MonthlyCharges_TotalCharges_201  tenure_MonthlyCharges_TotalCharges_120  tenure_MonthlyCharges_TotalCharges_111  tenure_MonthlyCharges_TotalCharges_102  tenure_MonthlyCharges_TotalCharges_030  tenure_MonthlyCharges_TotalCharges_021  tenure_MonthlyCharges_TotalCharges_012  tenure_MonthlyCharges_TotalCharges_003
0                                  4356.0                                  5874.0                               389307.60                                 7921.00                               524975.40                            3.479348e+07                                287496.0                                387684.0                             25694301.60                               522786.00                             34648376.40                            2.296370e+09                              704969.000                            4.672281e+07                            3.096620e+09                            2.052328e+11
1                                   289.0                                  1676.2                                28984.15                                 9721.96                               168108.07                            2.906855e+06                                  4913.0                                 28495.4                               492730.55                               165273.32                              2857837.19                            4.941653e+07                              958585.256                            1.657546e+07                            2.866159e+08                            4.956042e+09
2                                   900.0                                  2832.0                                85161.00                                 8911.36                               267973.28                            8.058218e+06                                 27000.0                                 84960.0                              2554830.00                               267340.80                              8039198.40                            2.417465e+08                              841232.384                            2.529668e+07                            7.606957e+08                            2.287486e+10
3                                  1225.0                                   889.0                                33243.00                                  645.16                                24124.92                            9.021200e+05                                 42875.0                                 31115.0                              1163505.00                                22580.60                               844372.20                            3.157420e+07                               16387.064                            6.127730e+05                            2.291385e+07                            8.568336e+08
4                                     1.0                                    20.1                                   20.10                                  404.01                                  404.01                            4.040100e+02                                     1.0                                    20.1                                   20.10                                  404.01                                  404.01                            4.040100e+02                                8120.601                            8.120601e+03                            8.120601e+03                            8.120601e+03

分组统计

差异很大

其中5和6是测试集，如果仅根据测试集进行分组统计衍生，其结果会和训练集不一样。

原始特征			分组统计
ID	tenure	SerniorCitizen	SerniorCitizen tenure mean
1	1	1	0.5
2	1	0	0.5
3	2	1	1
4	2	1	1
5	1	1	1
6	2	0	0

fill_test_features

在本文，我们考虑直接把训练集上分组计算结果填充到测试集中。

def fill_test_features(key_col: str(list),
                       x_train: pd.DataFrame,
                       x_test: pd.DataFrame,
                       features_train_new: pd.DataFrame,
                       multi: bool = False):
    """
    测试集特征填补函数

    :param key_col: 分组参考的关键变量
    :param x_train: 训练集特征
    :param x_test: 测试集特征
    :param features_train_new: 训练集衍生特征
    :param multi: 是否多变量参与分组

    :return：分组统计衍生后的新特征和新特征的名称
    """

    # 创建主键
    # 创建带有主键的训练集衍生特征df
    # 创建只包含主键的test_key
    if not multi:
        key_col = key_col
        features_train_new[key_col] = x_train[key_col].reset_index()[key_col]
        test_key = pd.DataFrame(x_test[key_col])
    else:
        train_key, train_col = multi_cross_combination(col_names=key_col, features=x_train, one_hot=False)
        test_key, test_col = multi_cross_combination(col_names=key_col, features=x_test, one_hot=False)
        assert train_col == test_col
        key_col = train_col
        features_train_new[key_col] = train_key[train_col].reset_index()[train_col]

    # 利用groupby进行去重
    # 等同于 features_train_new.drop_duplicates()
    # 对于交叉验证的情况，这个还有作用。
    features_test_or = features_train_new.groupby(key_col).mean().reset_index()

    # 和测试集进行拼接
    features_test_new = pd.merge(test_key, features_test_or, on=key_col, how='left')

    # 删除key_col列，只保留新衍生的列
    features_test_new.drop([key_col], axis=1, inplace=True)
    features_train_new.drop([key_col], axis=1, inplace=True)

    # 输出列名称
    col_names_train_new = list(features_train_new.columns)
    col_names_test_new = list(features_test_new.columns)

    assert col_names_train_new == col_names_test_new
    return features_train_new, features_test_new, col_names_train_new, col_names_test_new

在该部分，fill_test_features方法中，features_test_or = features_train_new.groupby(key_col).mean().reset_index()的作用等同于features_train_new.drop_duplicates()。
在下文的交叉验证部分，features_train_new.groupby(key_col).mean().reset_index()还有其他作用。

示例代码：

import pandas as pd

from my_func.b import binary_group_statistics
from my_func.f import fill_test_features

x_train = pd.DataFrame({'tenure': [1, 1, 2, 2], 'SeniorCitizen': [1, 0, 1, 1]})
print(x_train)

x_test = pd.DataFrame({'tenure': [1, 2, 1], 'SeniorCitizen': [1, 0, 0]})
print(x_test)

key_col = 'tenure'

features_train_new, colNames_train_new = binary_group_statistics(key_col,
                                                                 x_train,
                                                                 col_cat=['SeniorCitizen'],
                                                                 cat_stat=['mean'],
                                                                 quantile=False)

features_train_new, features_test_new, col_names_train_new, col_names_test_new = fill_test_features(key_col,
                                                                                                    x_train,
                                                                                                    x_test,
                                                                                                    features_train_new,
                                                                                                    multi=False)

print(features_train_new)
print(features_test_new)
print(col_names_train_new)
print(col_names_test_new)

运行结果：

   tenure  SeniorCitizen
0       1              1
1       1              0
2       2              1
3       2              1
   tenure  SeniorCitizen
0       1              1
1       2              0
2       1              0
   SeniorCitizen_tenure_mean
0                        0.5
1                        0.5
2                        1.0
3                        1.0
   SeniorCitizen_tenure_mean
0                        0.5
1                        1.0
2                        0.5
['SeniorCitizen_tenure_mean']
['SeniorCitizen_tenure_mean']

group_statistics

group_statistics：

将双特征的分组统计特征衍生、多特征的分组统计特征衍生统一为一个。
对测试集进行填补。

def group_statistics(key_col: str(list),
                     x_train: pd.DataFrame,
                     x_test: pd.DataFrame,
                     col_num: list = None,
                     col_cat=None,
                     num_stat=['mean', 'var', 'max', 'min', 'skew', 'median'],
                     cat_stat=['mean', 'var', 'max', 'min', 'median', 'count', 'nunique'],
                     quantile=True,
                     multi=False):
    """
    分组统计特征衍生函数

    :param key_col: 分组参考的关键变量
    :param x_train: 训练集特征
    :param x_test: 测试集特征
    :param col_num: 参与衍生的连续型变量
    :param col_cat: 参与衍生的离散型变量
    :param num_stat: 连续变量分组统计量
    :param cat_stat: 离散变量分组统计量
    :param quantile: 是否计算分位数
    :param multi: 是否进行多变量的分组统计特征衍生

    :return：分组统计衍生后的新特征和新特征的名称
    """

    # 进行训练集的特征衍生
    if not multi:
        # 进行双变量的交叉衍生
        features_train_new, col_names_train_new = binary_group_statistics(key_col=key_col,
                                                                          features=x_train,
                                                                          col_num=col_num,
                                                                          col_cat=col_cat,
                                                                          num_stat=num_stat,
                                                                          cat_stat=cat_stat,
                                                                          quantile=quantile)
        # 是否进一步进行二阶特征衍生
        # if extension:
        #   if col_num is None:
        #       col_names = col_cat
        #   elif col_cat is None:
        #       col_names = col_num
        #   else:
        #       col_names = col_num + col_cat
        #
        #   features_train_new_ex, col_names_train_new_ex = group_statistics_extension(col_names=col_names,
        #                                                                              key_col=key_col,
        #                                                                              features=x_train)
        #
        #   features_train_new = pd.concat([features_train_new, features_train_new_ex], axis=1)
        #   col_names_train_new.extend(col_names_train_new_ex)

    else:
        # 进行多变量的交叉衍生
        features_train_new, col_names_train_new = multi_group_statistics(key_col=key_col,
                                                                         features=x_train,
                                                                         col_num=col_num,
                                                                         col_cat=col_cat,
                                                                         num_stat=num_stat,
                                                                         cat_stat=cat_stat,
                                                                         quantile=quantile)

    # 对测试集结果进行填补
    features_train_new, features_test_new, col_names_train_new, col_names_test_new = fill_test_features(key_col,
                                                                                                        x_train,
                                                                                                        x_test,
                                                                                                        features_train_new,
                                                                                                        multi=multi)
    # 如果特征不一致，则进行0值填补
    # 对于分组统计特征来说一般不会出现该情况
    if col_names_train_new != col_names_test_new:
        features_train_new, features_test_new, col_names_train_new, col_names_test_new = features_padding_zero(
            features_train_new=features_train_new,
            features_test_new=features_test_new,
            col_names_train_new=col_names_train_new,
            col_names_test_new=col_names_test_new)

    assert col_names_train_new == col_names_test_new
    return features_train_new, features_test_new, col_names_train_new, col_names_test_new

示例代码：

import pandas as pd

# 显示所有列
pd.set_option('display.max_columns', None)
# 设置一行的宽度
pd.set_option('display.width', 5000)

x_train = pd.DataFrame({'tenure': [1, 1, 2, 2], 'SeniorCitizen': [1, 0, 0, 0], 'MonthlyCharges': [1, 2, 3, 4]})
x_test = pd.DataFrame({'tenure': [1, 2, 1], 'SeniorCitizen': [1, 0, 0], 'MonthlyCharges': [1, 2, 3]})

print(x_train)
print(x_test)

key_col = ['tenure', 'SeniorCitizen']
col_num = ['MonthlyCharges']
num_stat = ['mean', 'max']

features_train_new, features_test_new, colNames_train_new, colNames_test_new = group_statistics(key_col,
                                                                                                x_train=x_train,
                                                                                                x_test=x_test,
                                                                                                col_num=col_num,
                                                                                                num_stat=num_stat,
                                                                                                quantile=False,
                                                                                                multi=True)

print(features_train_new)
print(features_test_new)

运行结果：

   tenure  SeniorCitizen  MonthlyCharges
0       1              1               1
1       1              0               2
2       2              0               3
3       2              0               4
   tenure  SeniorCitizen  MonthlyCharges
0       1              1               1
1       2              0               2
2       1              0               3
   MonthlyCharges_tenure_SeniorCitizen_mean  MonthlyCharges_tenure_SeniorCitizen_max
0                                       1.0                                        1
1                                       2.0                                        2
2                                       3.5                                        4
3                                       3.5                                        4
   MonthlyCharges_tenure_SeniorCitizen_mean  MonthlyCharges_tenure_SeniorCitizen_max
0                                       1.0                                      1.0
1                                       3.5                                      4.0
2                                       2.0                                      2.0

争议

对于统计演变特征衍生，有些资料也会对测试集进行fill_test_features(求均值)，我个人这个是错误的。

举例子来说，基于tenure的分组统计特征SeniorCitizen_tenure_mean，对于测试集，能且只能进行fill_test_features。
但是对于SeniorCitizen_dive1_SeniorCitizen_tenure_mean，我个人认为，不能直接对测试集进行fill_test_features(求均值)的，应该用测试集的SeniorCitizen去除以填充的SeniorCitizen_tenure_mean。

相关的代码保留了，在group_statistics方法中，进行了注释。

时序特征衍生

对于测试集的时序特征衍生，不会存在缺失特征或者衍生差异很大的情况。

def time_series_creation_advance(time_series_train: pd.Series,
                                 time_series_test: pd.Series,
                                 time_stamp: dict = None,
                                 precision_high: bool = False):
    """
    时序字段的特征衍生

    :param time_series_train：训练集的时序特征，需要是一个Series
    :param time_series_test：测试集的时序特征，需要是一个Series
    :param time_stamp：手动输入的关键时间节点的时间戳，需要组成字典形式，字典的key、value分别是时间戳的名字与字符串
    :param precision_high：是否精确到时、分、秒

    :return features_new, col_names_new：返回创建的新特征矩阵和特征名称
    """
    features_train_new, col_names_train_new = time_series_creation(
        time_series=time_series_train,
        time_stamp=time_stamp,
        precision_high=precision_high)

    features_test_new, col_names_test_new = time_series_creation(
        time_series=time_series_test,
        time_stamp=time_stamp,
        precision_high=precision_high)

    assert col_names_train_new == col_names_test_new
    return features_train_new, features_test_new, col_names_train_new, col_names_test_new

示例代码：

import pandas as pd
from sklearn.model_selection import train_test_split

# 显示所有列
pd.set_option('display.max_columns', None)
# 设置一行的宽度
pd.set_option('display.width', 5000)

t = pd.DataFrame()
t['time'] = ['2022-01-03;02:31:52',
             '2022-07-01;14:22:01',
             '2022-08-22;08:02:31',
             '2022-04-30;11:41:31',
             '2022-05-02;22:01:27']

t_train, t_test = train_test_split(t)
print(t_train)
print(t_test)

time_stamp = {'p1': '2022-03-25 23:21:52', 'p2': '2022-02-15 08:51:02'}

features_train_new, features_test_new, col_names_train_new, col_names_test_new = time_series_creation_advance(
    t_train['time'],
    t_test['time'],
    time_stamp=time_stamp,
    precision_high=True)

print(features_train_new)
print(features_test_new)

运行结果：

                  time
2  2022-08-22;08:02:31
3  2022-04-30;11:41:31
0  2022-01-03;02:31:52
                  time
4  2022-05-02;22:01:27
1  2022-07-01;14:22:01
   time_year  time_month  time_day  time_hour  time_minute  time_second  time_quarter  time_weekofyear  time_dayofweek  time_weekend  hour_section  time_diff_days_p1  time_diff_months_p1  time_diff_seconds_p1  time_diff_h_p1  time_diff_s_p1  time_diff_days_p2  time_diff_months_p2  time_diff_seconds_p2  time_diff_h_p2  time_diff_s_p2  time_diff_days_time_max  time_diff_months_time_max  time_diff_seconds_time_max  time_diff_h_time_max  time_diff_s_time_max  time_diff_days_time_min  time_diff_months_time_min  time_diff_seconds_time_min  time_diff_h_time_min  time_diff_s_time_min  time_diff_days_time_now  time_diff_months_time_now  time_diff_seconds_time_now  time_diff_h_time_now  time_diff_s_time_now
2       2022           8        22          8            2           31             3               34               1             0             1                149                    5                 31239            3584        12904839                187                    6                 83489            4511        16240289                        0                          0                           0                     0                     0                      231                          7                       19839                  5549              19978239                     -246                         -8                       46805                 -5891             -21207595
3       2022           4        30         11           41           31             2               17               6             1             1                 35                    1                 44379             852         3068379                 74                    2                 10229            1778         6403829                     -114                         -4                       13140                 -2733              -9836460                      117                          3                       32979                  2817              10141779                     -360                        -12                       59945                 -8624             -31044055
0       2022           1         3          2           31           52             1                1               1             0             0                -82                   -2                 11400           -1965        -7073400                -44                   -1                 63650           -1039        -3737950                     -232                         -7                       66561                 -5550             -19978239                        0                          0                           0                     0                     0                     -477                        -15                       26966                -11441             -41185834
   time_year  time_month  time_day  time_hour  time_minute  time_second  time_quarter  time_weekofyear  time_dayofweek  time_weekend  hour_section  time_diff_days_p1  time_diff_months_p1  time_diff_seconds_p1  time_diff_h_p1  time_diff_s_p1  time_diff_days_p2  time_diff_months_p2  time_diff_seconds_p2  time_diff_h_p2  time_diff_s_p2  time_diff_days_time_max  time_diff_months_time_max  time_diff_seconds_time_max  time_diff_h_time_max  time_diff_s_time_max  time_diff_days_time_min  time_diff_months_time_min  time_diff_seconds_time_min  time_diff_h_time_min  time_diff_s_time_min  time_diff_days_time_now  time_diff_months_time_now  time_diff_seconds_time_now  time_diff_h_time_now  time_diff_s_time_now
4       2022           5         2         22            1           27             2               18               1             0             3                 37                    2                 81575             910         3278375                 76                    3                 47425            1837         6613825                      -60                         -2                       27566                 -1433              -5156434                        0                          0                           0                     0                     0                     -357                        -11                       10741                 -8566             -30834059
1       2022           7         1         14           22            1             3               26               5             0             2                 97                    4                 54009            2343         8434809                136                    5                 19859            3269        11770259                        0                          0                           0                     0                     0                       59                          2                       58834                  1432               5156434                     -298                         -9                       69575                 -7133             -25677625

借鉴文本处理

该部分类似分组统计，会存在差异很大的情况，所以需要对测试集进行填充，不能直接由测试集进行特征衍生。

def nlp_group_statistics_advance(x_train: pd.DataFrame,
                                 x_test: pd.DataFrame,
                                 col_cat: list,
                                 key_col: str(list) = None,
                                 tfidf: bool = True,
                                 count_vec: bool = True):
    """
    NLP特征衍生函数

    :param x_train: 训练集特征
    :param x_test: 测试集特征
    :param col_cat: 参与衍生的离散型变量，只能带入多个列
    :param key_col: 分组参考的关键变量，输入字符串时代表按照单独列分组，输入list代表按照多个列进行分组
    :param tfidf: 是否进行tfidf计算
    :param count_vec: 是否进行count_vectorizer计算

    :return：NLP特征衍生后的新特征和新特征的名称
    """

    # 在训练集上进行NLP特征衍生
    features_train_new, col_names_train_new = nlp_group_statistics(features=x_train,
                                                                   col_cat=col_cat,
                                                                   key_col=key_col,
                                                                   tfidf=tfidf,
                                                                   count_vec=count_vec)
    # 如果不分组，则测试集单独计算NLP特征
    if key_col is None:
        features_test_new, col_names_test_new = nlp_group_statistics(features=x_test,
                                                                     col_cat=col_cat,
                                                                     key_col=key_col,
                                                                     tfidf=tfidf,
                                                                     count_vec=count_vec)

    # 否则需要用训练集上统计结果应用于测试集
    else:
        if type(key_col) == str:
            multi = False
        else:
            multi = True
        features_train_new, features_test_new, col_names_train_new, col_names_test_new = fill_test_features(
            key_col=key_col,
            x_train=x_train,
            x_test=x_test,
            features_train_new=features_train_new,
            multi=multi)

    # 如果训练集和测试集衍生特征不一致时
    if col_names_train_new != col_names_test_new:
        features_train_new, features_test_new, col_names_train_new, col_names_test_new = features_padding_zero(
            features_train_new=features_train_new,
            features_test_new=features_test_new,
            col_names_train_new=col_names_train_new,
            col_names_test_new=col_names_test_new)

    assert col_names_train_new == col_names_test_new
    return features_train_new, features_test_new, col_names_train_new, col_names_test_new

示例代码：


tar_col = ['OnlineSecurity', 'OnlineBackup', 'DeviceProtection']
key_col = 'tenure'

features_oe = pd.DataFrame()
features_oe[key_col] = features[key_col]

for col in tar_col:
    features_oe[col] = (features[col] == 'Yes') * 1

x_train, x_test = train_test_split(features_oe)

print(x_train)
print(x_test)

col_cat = ['OnlineBackup', 'DeviceProtection', 'OnlineSecurity']
key_col = 'tenure'

features_train_new, features_test_new, col_names_train_new, col_names_test_new = nlp_group_statistics_advance(
    x_train=x_train,
    x_test=x_test,
    col_cat=col_cat,
    key_col=key_col)

print(features_train_new)
print(features_test_new)
print(col_names_train_new)
print(col_names_test_new)

运行结果：

      tenure  OnlineSecurity  OnlineBackup  DeviceProtection
4165       6               0             0                 0
2271      40               0             0                 0
507        2               0             0                 0
4127      56               0             0                 0
5400      33               0             0                 0
...      ...             ...           ...               ...
41        70               1             1                 0
3918      20               0             0                 0
4860      13               1             1                 0
1098      67               1             1                 0
4293      14               0             0                 0

[5282 rows x 4 columns]
      tenure  OnlineSecurity  OnlineBackup  DeviceProtection
5048      54               0             0                 1
5532      31               0             0                 0
1242      21               1             0                 0
5197      72               0             1                 1
541       11               0             0                 0
...      ...             ...           ...               ...
4578      10               0             0                 0
1020      39               1             0                 0
4013       2               0             0                 0
3056      50               1             0                 0
5216      48               0             1                 1

[1761 rows x 4 columns]
      OnlineBackup_tenure_cntv  DeviceProtection_tenure_cntv  OnlineSecurity_tenure_cntv  OnlineBackup_tenure_tfidf  DeviceProtection_tenure_tfidf  OnlineSecurity_tenure_tfidf
0                           23                            16                          15                   0.723714                       0.503453                     0.471988
1                           18                            13                          10                   0.739171                       0.533846                     0.410651
2                           28                            20                          21                   0.694595                       0.496139                     0.520946
3                           28                            24                          23                   0.644232                       0.552199                     0.529190
4                           15                            18                          12                   0.569803                       0.683763                     0.455842
...                        ...                           ...                         ...                        ...                            ...                          ...
5277                        65                            65                          56                   0.603874                       0.603874                     0.520261
5278                         8                            14                          10                   0.421637                       0.737865                     0.527046
5279                        18                            19                          17                   0.576757                       0.608799                     0.544715
5280                        44                            37                          44                   0.607779                       0.511087                     0.607779
5281                        18                             8                           8                   0.846649                       0.376288                     0.376288

[5282 rows x 6 columns]
      OnlineBackup_tenure_cntv  DeviceProtection_tenure_cntv  OnlineSecurity_tenure_cntv  OnlineBackup_tenure_tfidf  DeviceProtection_tenure_tfidf  OnlineSecurity_tenure_tfidf
0                         30.0                          20.0                        22.0                   0.710271                       0.473514                     0.520865
1                         15.0                          17.0                        10.0                   0.605351                       0.686064                     0.403567
2                         15.0                          18.0                        12.0                   0.569803                       0.683763                     0.455842
3                        186.0                         189.0                       174.0                   0.586447                       0.595906                     0.548612
4                         14.0                          19.0                        11.0                   0.537667                       0.729691                     0.422452
...                        ...                           ...                         ...                        ...                            ...                          ...
1756                      20.0                          20.0                        16.0                   0.615457                       0.615457                     0.492366
1757                       8.0                          18.0                         8.0                   0.376288                       0.846649                     0.376288
1758                      28.0                          20.0                        21.0                   0.694595                       0.496139                     0.520946
1759                      17.0                          17.0                        17.0                   0.577350                       0.577350                     0.577350
1760                      18.0                          22.0                        15.0                   0.560044                       0.684499                     0.466704

[1761 rows x 6 columns]
['OnlineBackup_tenure_cntv', 'DeviceProtection_tenure_cntv', 'OnlineSecurity_tenure_cntv', 'OnlineBackup_tenure_tfidf', 'DeviceProtection_tenure_tfidf', 'OnlineSecurity_tenure_tfidf']
['OnlineBackup_tenure_cntv', 'DeviceProtection_tenure_cntv', 'OnlineSecurity_tenure_cntv', 'OnlineBackup_tenure_tfidf', 'DeviceProtection_tenure_tfidf', 'OnlineSecurity_tenure_tfidf']

目标编码

什么是目标编码

在《特征工程-1.特征预处理》，我们讨论过目标编码，当时以基于决策树对连续字段进行分箱为例。
在本文，我们以标签在某特征上的分组统计为例。

交叉验证

在《特征工程-1.特征预处理》，我们举了一个非常极端的例子，论述目标编码容易造成过拟合。
在《深度学习初步及其Python实现：5.过拟合》，我们讨论过怎么解决过拟合。例如，交叉验证。

假设存在原始数据如下，其中11和12为测试数据。

原始数据
ID	tenure	Churn
1	1	0
2	2	1
3	1	1
4	2	1
5	1	1
6	2	0
7	1	0
8	2	0
9	1	1
10	2	0
11	1
12	2

进行5折交叉验证。把训练集进行5折等分，每一折数据包含两条原始数据，然后我们进行五轮运算。
第一轮，将第1折数据视作验证集，仅对第2折到第4折中的数据进行Churn在tenure上的分组均值计算，并将结果填入第1折的特征中；第二轮，此时验证集为第2折，利用第1折和第3折到第5折中的数据进行Churn在tenure上的分组均值计算，并将计算结果填入第2折的特征中；其他类似。

在训练集上进行5折交叉验证计算_Churn在tenure分组均值
5等分		fold-1		fold-2		fold-3		fold-4		fold-5
ID		1	2	3	4	5	6	7	8	9	10

1st iter	tenure	1	2	1	2	1	2	1	2	1	2
1st iter	Churn	0.75	0.25	1	1	1	0	0	0	1	0

2nd iter	tenure	1	2	1	2	1	2	1	2	1	2
2nd iter	Churn	0	1	0.5	0.25	1	0	0	0	1	0

3rd iter	tenure	1	2	1	2	1	2	1	2	1	2
3rd iter	Churn	0	1	1	1	0.5	0.5	0	0	1	0

4th iter	tenure	1	2	1	2	1	2	1	2	1	2
4th iter	Churn	0	1	1	1	1	0	0.75	0.5	1	0

5th iter	tenure	1	2	1	2	1	2	1	2	1	2
5th iter	Churn	0	1	1	1	1	0	0	0	0.5	0.5

取训练集的衍生特征的平均值填充到测试集。
例如，对于tenure=1，Churn_tenure_mean_kfold的平均值是0.6

原始数据			分组:统计结果
ID	tenure	Churn	Churn_tenure_mean_kfold
1	1	0	0.75
2	2	1	0.25
3	1	1	0.5
4	2	1	0.25
5	1	1	0.5
6	2	0	0.5
7	1	0	0.75
8	2	0	0.5
9	1	1	0.5
10	2	0	0.5
11	1		0.6
12	2		0.4

实现方法

思路

在上文的衍生过程中，我们先进行了带有交叉验证的分组统计，然后对测试集进行特征填充(求均值的方式)。

利用group_statistics，进行分组统计。
利用fill_test_features，对测试集进行特征填充。

KFold

KFold划分数据集，返回的是训练集和验证集的index。示例代码：

from sklearn.model_selection import KFold
folds = KFold(n_splits=5, shuffle=True)

for trn_idx, val_idx in folds.split(train):
    print("train_index:", trn_idx)
    print("validation_index:", val_idx)

运行结果：

train_index: [0 1 2 5 6 7 8 9]
validation_index: [3 4]
train_index: [2 3 4 5 6 7 8 9]
validation_index: [0 1]
train_index: [0 1 2 3 4 5 7 9]
validation_index: [6 8]
train_index: [0 1 2 3 4 6 7 8]
validation_index: [5 9]
train_index: [0 1 3 4 5 6 8 9]
validation_index: [2 7]

代码

示例代码：

import numpy as np
import pandas as pd
from sklearn.model_selection import KFold

# 显示所有列
pd.set_option('display.max_columns', None)
# 设置一行的宽度
pd.set_option('display.width', 5000)

a = np.array([[1, 2] * 5, [0, 1, 1, 1, 1, 0, 0, 0, 1, 0]]).T
train = pd.DataFrame(a, columns=['tenure', 'Churn'])
test = pd.DataFrame([[1], [2], [1]], columns=['tenure'])

print(train)
print(test)

# 定义关键参数
key_col = 'tenure'
col_cat = ['Churn']
cat_stat = ['mean', 'max', 'min']
df_l = []

folds = KFold(n_splits=5, shuffle=True)
for trn_idx, val_idx in folds.split(train):
    trn_temp = train.iloc[trn_idx]
    val_temp = train.iloc[val_idx]
    trn_temp_new, val_temp_new, colNames_trn_temp_new, colNames_val_temp_new = group_statistics(key_col,
                                                                                                x_train=trn_temp,
                                                                                                x_test=val_temp,
                                                                                                col_cat=col_cat,
                                                                                                cat_stat=cat_stat,
                                                                                                quantile=False)
    val_temp_new.index = val_temp.index
    df_l.append(val_temp_new)

features_train_new = pd.concat(df_l).sort_index(ascending=True)

colNames_train_new = [col + '_kfold' for col in features_train_new.columns]
features_train_new.columns = colNames_train_new
features_train_new, features_test_new, col_names_train_new, col_names_test_new = fill_test_features(key_col=key_col,
                                                                                                    x_train=train,
                                                                                                    x_test=test,
                                                                                                    features_train_new=features_train_new,
                                                                                                    multi=False)
print(features_train_new)
print(features_test_new)
print(col_names_train_new)
print(col_names_test_new)

运行结果：

   tenure  Churn
0       1      0
1       2      1
2       1      1
3       2      1
4       1      1
5       2      0
6       1      0
7       2      0
8       1      1
9       2      0
   tenure
0       1
1       2
2       1
   Churn_tenure_mean_kfold  Churn_tenure_max_kfold  Churn_tenure_min_kfold  Churn_kfold  Churn_dive1_Churn_tenure_mean_kfold  Churn_dive2_Churn_tenure_median_kfold  Churn_minus1_Churn_tenure_mean_kfold  Churn_minus2_Churn_tenure_mean_kfold  Churn_norm_tenure_kfold  Churn_gap_tenure_kfold  Churn_mag1_tenure_kfold  Churn_mag2_tenure_kfold  Churn_cv_tenure_kfold
0                 0.666667                     1.0                     0.0     0.666667                             0.999985                               0.666660                          3.700743e-17                          3.700743e-17             7.401487e-17                    0.50                 0.333333                 1.499978               0.866012
1                 0.250000                     1.0                     0.0     0.250000                             0.999960                           25000.000000                          0.000000e+00                          0.000000e+00            -2.775558e-17                    0.25                -0.250000                 0.000000               1.999920
2                 0.500000                     1.0                     0.0     0.500000                             0.999980                               0.999980                          0.000000e+00                          0.000000e+00             0.000000e+00                    1.00                 0.000000                 0.999980               1.154677

【部分运行结果略】

7                 0.500000                     1.0                     0.0     0.500000                             0.999980                               0.999980                          0.000000e+00                          0.000000e+00             0.000000e+00                    1.00                 0.000000                 0.999980               1.154677
8                 0.666667                     1.0                     0.0     0.666667                             0.999985                               0.666660                          3.700743e-17                          3.700743e-17             7.401487e-17                    0.50                 0.333333                 1.499978               0.866012
9                 0.500000                     1.0                     0.0     0.500000                             0.999980                               0.999980                          0.000000e+00                          0.000000e+00             0.000000e+00                    1.00                 0.000000                 0.999980               1.154677
   Churn_tenure_mean_kfold  Churn_tenure_max_kfold  Churn_tenure_min_kfold  Churn_kfold  Churn_dive1_Churn_tenure_mean_kfold  Churn_dive2_Churn_tenure_median_kfold  Churn_minus1_Churn_tenure_mean_kfold  Churn_minus2_Churn_tenure_mean_kfold  Churn_norm_tenure_kfold  Churn_gap_tenure_kfold  Churn_mag1_tenure_kfold  Churn_mag2_tenure_kfold  Churn_cv_tenure_kfold
0                 0.616667                     1.0                     0.0     0.616667                             0.999983                               0.816655                          1.480297e-17                          1.480297e-17             3.515706e-17                    0.65                 0.183333                 1.266646               0.941607
1                 0.383333                     1.0                     0.0     0.383333                             0.999972                           18333.733325                          1.480297e-17                          1.480297e-17             2.405483e-17                    0.65                -0.183333                 0.399992               1.554655
2                 0.616667                     1.0                     0.0     0.616667                             0.999983                               0.816655                          1.480297e-17                          1.480297e-17             3.515706e-17                    0.65                 0.183333                 1.266646               0.941607
['Churn_tenure_mean_kfold', 'Churn_tenure_max_kfold', 'Churn_tenure_min_kfold', 'Churn_kfold', 'Churn_dive1_Churn_tenure_mean_kfold', 'Churn_dive2_Churn_tenure_median_kfold', 'Churn_minus1_Churn_tenure_mean_kfold', 'Churn_minus2_Churn_tenure_mean_kfold', 'Churn_norm_tenure_kfold', 'Churn_gap_tenure_kfold', 'Churn_mag1_tenure_kfold', 'Churn_mag2_tenure_kfold', 'Churn_cv_tenure_kfold']
['Churn_tenure_mean_kfold', 'Churn_tenure_max_kfold', 'Churn_tenure_min_kfold', 'Churn_kfold', 'Churn_dive1_Churn_tenure_mean_kfold', 'Churn_dive2_Churn_tenure_median_kfold', 'Churn_minus1_Churn_tenure_mean_kfold', 'Churn_minus2_Churn_tenure_mean_kfold', 'Churn_norm_tenure_kfold', 'Churn_gap_tenure_kfold', 'Churn_mag1_tenure_kfold', 'Churn_mag2_tenure_kfold', 'Churn_cv_tenure_kfold']

函数封装

def target_encode(key_col: str(list),
                  x_train: pd.DataFrame,
                  y_train: pd.DataFrame,
                  x_test: pd.DataFrame,
                  col_num: list = None,
                  col_cat: list = None,
                  num_stat: list = ['mean', 'var', 'max', 'min', 'skew', 'median'],
                  cat_stat: list = ['mean', 'var', 'max', 'min', 'median', 'count', 'nunique'],
                  quantile: bool = True,
                  multi: bool = False,
                  n_splits: int = 5):
    """
    目标编码

    :param key_col: 分组参考的关键变量
    :param x_train: 训练集特征
    :param y_train: 训练集标签
    :param x_test: 测试集特征
    :param col_num: 参与衍生的连续型变量
    :param col_cat: 参与衍生的离散型变量
    :param num_stat: 连续变量分组统计量
    :param cat_stat: 离散变量分组统计量
    :param quantile: 是否计算分位数
    :param multi: 是否进行多变量的分组统计特征衍生
    :param n_splits: 进行几折交叉统计

    :return：目标编码后的新特征和新特征的名称
    """

    # 合并同时带有特征和标签的完整训练集
    train = pd.concat([x_train, y_train], axis=1)

    folds = KFold(n_splits=n_splits, shuffle=True)

    # 每一折验证集的结果存储容器
    df_l = []

    # 进行交叉统计
    for trn_idx, val_idx in folds.split(train):
        trn_temp = train.iloc[trn_idx]
        val_temp = train.iloc[val_idx]
        trn_temp_new, val_temp_new, col_names_trn_temp_new, col_names_val_temp_new = group_statistics(key_col,
                                                                                                      x_train=trn_temp,
                                                                                                      x_test=val_temp,
                                                                                                      col_num=col_num,
                                                                                                      col_cat=col_cat,
                                                                                                      num_stat=num_stat,
                                                                                                      cat_stat=cat_stat,
                                                                                                      quantile=quantile,
                                                                                                      multi=multi)
        val_temp_new.index = val_temp.index
        df_l.append(val_temp_new)

    # 创建训练集的衍生特征
    features_train_new = pd.concat(df_l).sort_index(ascending=True)
    col_names_train_new = [col + '_kfold' for col in features_train_new.columns]
    features_train_new.columns = col_names_train_new

    # 对测试集结果进行填补
    features_train_new, features_test_new, col_names_train_new, col_names_test_new = fill_test_features(key_col=key_col,
                                                                                                        x_train=x_train,
                                                                                                        x_test=x_test,
                                                                                                        features_train_new=features_train_new,
                                                                                                        multi=multi)

    # 如果特征不一致，则进行0值填补
    if col_names_train_new != col_names_test_new:
        features_train_new, features_test_new, col_names_train_new, col_names_test_new = features_padding_zero(
            features_train_new=features_train_new,
            features_test_new=features_test_new,
            col_names_train_new=col_names_train_new,
            col_names_test_new=col_names_test_new)

    assert col_names_train_new == col_names_test_new
    return features_train_new, features_test_new, col_names_train_new, col_names_test_new

示例代码：

import numpy as np
import pandas as pd

# 显示所有列
pd.set_option('display.max_columns', None)
# 设置一行的宽度
pd.set_option('display.width', 5000)

a = np.array([[1, 2] * 5, [0, 1, 1, 1, 1, 0, 0, 0, 1, 0]]).T
train = pd.DataFrame(a, columns=['tenure', 'Churn'])
x_test = pd.DataFrame([[1], [2], [1]], columns=['tenure'])

print(train)
print(x_test)

x_train = pd.DataFrame(train['tenure'])
y_train = train['Churn']

# 定义关键参数
key_col = 'tenure'
col_cat = ['Churn']
features_train_new, features_test_new, col_names_train_new, col_names_test_new = target_encode(key_col,
                                                                                               x_train,
                                                                                               y_train,
                                                                                               x_test,
                                                                                               col_cat=col_cat)

print(features_train_new)
print(features_test_new)
print(col_names_train_new)
print(col_names_test_new)

运行结果：

   tenure  Churn
0       1      0
1       2      1
2       1      1
3       2      1
4       1      1
5       2      0
6       1      0
7       2      0
8       1      1
9       2      0
   tenure
0       1
1       2
2       1
   Churn_tenure_mean_kfold  Churn_tenure_var_kfold  Churn_tenure_max_kfold  Churn_tenure_min_kfold  Churn_tenure_median_kfold  Churn_tenure_count_kfold  Churn_tenure_nunique_kfold  Churn_tenure_q1_kfold  Churn_tenure_q2_kfold
0                 0.666667                0.333333                     1.0                     0.0                        1.0                       3.0                         2.0                    0.5                   1.00
1                 0.250000                0.250000                     1.0                     0.0                        0.0                       4.0                         2.0                    0.0                   0.25
2                 0.666667                0.333333                     1.0                     0.0                        1.0                       3.0                         2.0                    0.5                   1.00

【部分运行结果略】

7                 0.666667                0.333333                     1.0                     0.0                        1.0                       3.0                         2.0                    0.5                   1.00
8                 0.666667                0.333333                     1.0                     0.0                        1.0                       3.0                         2.0                    0.5                   1.00
9                 0.333333                0.333333                     1.0                     0.0                        0.0                       3.0                         2.0                    0.0                   0.50
   Churn_tenure_mean_kfold  Churn_tenure_var_kfold  Churn_tenure_max_kfold  Churn_tenure_min_kfold  Churn_tenure_median_kfold  Churn_tenure_count_kfold  Churn_tenure_nunique_kfold  Churn_tenure_q1_kfold  Churn_tenure_q2_kfold
0                 0.633333                0.333333                     1.0                     0.0                        0.9                       3.2                         2.0                    0.4                   1.00
1                 0.450000                0.316667                     1.0                     0.0                        0.4                       3.2                         2.0                    0.2                   0.65
2                 0.633333                0.333333                     1.0                     0.0                        0.9                       3.2                         2.0                    0.4                   1.00
['Churn_tenure_mean_kfold', 'Churn_tenure_var_kfold', 'Churn_tenure_max_kfold', 'Churn_tenure_min_kfold', 'Churn_tenure_median_kfold', 'Churn_tenure_count_kfold', 'Churn_tenure_nunique_kfold', 'Churn_tenure_q1_kfold', 'Churn_tenure_q2_kfold']
['Churn_tenure_mean_kfold', 'Churn_tenure_var_kfold', 'Churn_tenure_max_kfold', 'Churn_tenure_min_kfold', 'Churn_tenure_median_kfold', 'Churn_tenure_count_kfold', 'Churn_tenure_nunique_kfold', 'Churn_tenure_q1_kfold', 'Churn_tenure_q2_kfold']

参考资料：

https://hbh.xet.tech/s/Kt1Qv

文章作者: Kaka Wan Yifan

文章链接: https://kakawanyifan.com/11513

留言板

分析衍生特征

概述

标签值分布

相关性分析

皮尔逊相关系数

pd.get_dummies

corr()计算相关系数矩阵

绘图展示

热力图展示相关性

柱状图展示相关性

衍生新特征

思路

新用户标识

标识规则

新特征的生成

新特征的组装

购买服务数量

时序特征衍生

概述

有序数字

衍生过程

实现方法

大小颠倒

月份

季度

年份

相关性分析

时间格式

时间差值衍生

计算方法

两列相减

减去指定时间

天数

秒数

忽略了天数的计算结果

获取所有的秒数

保存为整数

月份

几个特殊时间

最大值和最小值

当前时间

更多特征衍生

函数封装

工作经验

借鉴文本处理

文本处理思想

实现方法

CountVectorizer

TF-IDF

函数封装

工作经验

测试集的特征衍生

关注点

交叉组合

存在缺失

features_padding_zero

cross_combination

多项式

分组统计

差异很大

fill_test_features

group_statistics

争议

时序特征衍生

借鉴文本处理

目标编码

什么是目标编码

交叉验证

实现方法

思路

KFold

代码

函数封装