时间序列数据插补

在 Python 中处理缺失数据

Suraj Donthi

Deep Learning & Computer Vision Consultant

Airquality 数据集

import pandas as pd
airquality = pd.read_csv('air-quality.csv', parse_dates='Date', 
                                index_col='Date')

airquality.head()
             Ozone    Solar    Wind    Temp
Date                
1976-05-01    41.0    190.0     7.4    67
1976-05-02    36.0    118.0     8.0    72
1976-05-03    12.0    149.0    12.6    74
1976-05-04    18.0    313.0    11.5    62
1976-05-05     NaN      NaN    14.3    56
在 Python 中处理缺失数据

Airquality 数据集

airquality.isnull().sum()
Ozone    37
Solar     7
Wind      0
Temp      0
dtype: int64
airquality.isnull.mean() * 100
Ozone    24.183007
Solar     4.575163
Wind      0.000000
Temp      0.000000
dtype: float64
在 Python 中处理缺失数据

.fillna() 方法

.fillna()method 可设置为

  • 'ffill''pad'
  • 'bfill''backwardfill'
在 Python 中处理缺失数据

前向填充(ffill)

  • 用上一个观测值替换 NaN
  • pad 等同于 'ffill'
airquality.fillna(method='ffill', inplace=True)
在 Python 中处理缺失数据


airquality['Ozone'][30:40]
Date         Ozone        
1976-05-31    37.0
1976-06-01     NaN
1976-06-02     NaN
1976-06-03     NaN
1976-06-04     NaN
1976-06-05     NaN
1976-06-06     NaN
1976-06-07    29.0
1976-06-08     NaN
1976-06-09    71.0
airquality.fillna(method='ffill', 
                         inplace=True)
airquality['Ozone'][30:40]
Date         Ozone        
1976-05-31    37.0
1976-06-01    37.0
1976-06-02    37.0
1976-06-03    37.0
1976-06-04    37.0
1976-06-05    37.0
1976-06-06    37.0
1976-06-07    29.0
1976-06-08    29.0
1976-06-09    71.0
在 Python 中处理缺失数据

后向填充(bfill)

  • 用下一个观测值替换 NaN
  • backfill 等同于 'bfill'
df.fillna(method='bfill', inplace=True)
在 Python 中处理缺失数据


airquality['Ozone'][30:40]
Date         Ozone        
1976-05-31    37.0
1976-06-01     NaN
1976-06-02     NaN
1976-06-03     NaN
1976-06-04     NaN
1976-06-05     NaN
1976-06-06     NaN
1976-06-07    29.0
1976-06-08     NaN
1976-06-09    71.0
airquality.fillna(method='bfill', 
                         inplace=True)
airquality['Ozone'][30:40]
Date         Ozone        
1976-05-31    37.0
1976-06-01    29.0
1976-06-02    29.0
1976-06-03    29.0
1976-06-04    29.0
1976-06-05    29.0
1976-06-06    29.0
1976-06-07    29.0
1976-06-08    71.0
1976-06-09    71.0
在 Python 中处理缺失数据

.interpolate() 方法

  • .interpolate() 将数值序列延伸到缺失位置

.interpolate()method 可设置为

  • 'linear'
  • 'quadratic'
  • 'nearest'
在 Python 中处理缺失数据

线性插值

  • 线性或等距插补缺失值
df.interpolate(method='linear', inplace=True)

线性插值片段

在 Python 中处理缺失数据


airquality['Ozone'][30:40]
Date         Ozone        
1976-05-31    37.0
1976-06-01     NaN
1976-06-02     NaN
1976-06-03     NaN
1976-06-04     NaN
1976-06-05     NaN
1976-06-06     NaN
1976-06-07    29.0
1976-06-08     NaN
1976-06-09    71.0
airquality.interpolate(
          method='linear', inplace=True)
airquality['Ozone'][30:40]
Date         Ozone        
1976-05-31    37.0
1976-06-01    35.9
1976-06-02    34.7
1976-06-03    33.6
1976-06-04    32.4
1976-06-05    31.3
1976-06-06    30.1
1976-06-07    29.0
1976-06-08    50.0
1976-06-09    71.0
在 Python 中处理缺失数据

二次插值

  • 用二次函数插补缺失值
df.interpolate(method='quadratic', inplace=True)

二次插值片段

在 Python 中处理缺失数据


airquality['Ozone'][30:39]
             Ozone
Date                
1976-05-31    37.0
1976-06-01     NaN
1976-06-02     NaN
1976-06-03     NaN
1976-06-04     NaN
1976-06-05     NaN
1976-06-06     NaN
1976-06-07    29.0
1976-06-08     NaN
airquality.interpolate(
  method='quadratic', inplace=True)
airquality['Ozone'][30:39]
             Ozone
Date                
1976-05-31    37.0
1976-06-01   -38.4
1976-06-02   -79.4
1976-06-03   -85.9
1976-06-04   -62.4
1976-06-06    -2.8
1976-06-07    29.0
1976-06-08    62.2
在 Python 中处理缺失数据

最近值插补

  • 用最近的观测值插补
df.interpolate(method='nearest', inplace=True)

最近邻插值片段

在 Python 中处理缺失数据


airquality['Ozone'][30:39]
Date         Ozone        
1976-05-31    37.0
1976-06-01     NaN
1976-06-02     NaN
1976-06-03     NaN
1976-06-04     NaN
1976-06-05     NaN
1976-06-06     NaN
1976-06-07    29.0
1976-06-08     NaN
airquality.interpolate(
  method='nearest', inplace=True)
airquality['Ozone'][30:39]
Date         Ozone        
1976-05-31    37.0
1976-06-01    37.0
1976-06-02    37.0
1976-06-03    37.0
1976-06-04    29.0
1976-06-05    29.0
1976-06-06    29.0
1976-06-07    29.0
1976-06-08    29.0
在 Python 中处理缺失数据

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在 Python 中处理缺失数据

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