> For the complete documentation index, see [llms.txt](https://skywateryang.gitbook.io/timeseriesanalysis101/llms.txt). Markdown versions of documentation pages are available by appending `.md` to page URLs; this page is available as [Markdown](https://skywateryang.gitbook.io/timeseriesanalysis101/5.-te-zheng-sheng-cheng-he-te-zheng-xuan-ze/5.3-zi-dong-te-zheng-sheng-cheng-yu-xuan-ze.md).

# 5.3 自动特征生成与选择

下面将使用tsfresh包演示如何进行自动特征生成和特征选择

```python
from tsfresh.examples.robot_execution_failures import download_robot_execution_failures,load_robot_execution_failures
from tsfresh import extract_features,select_features
import pandas as pd
```

下一步需要注意，由于国内网络的限制，直接运行时会导致连接失败，此时有两个办法 1）在该地址 <https://github.com/MaxBenChrist/robot-failure-dataset> 手动下载lp1.data 2）在网站<https://www.ipaddress.com> 输入<https://raw.githubusercontent.com> 的真实ip，然后在C:\Windows\System32\drivers\etc下的hosts文件中添加类似这样的几行185.199.108.133 raw\.githubusercontent.com

```python
download_robot_execution_failures() #下载数据
timeseries, y = load_robot_execution_failures() # 加载数据
```

```python
timeseries.columns #该数据集包含8列，其中id表明类别id，time为时间轴，其他6列为不同维度的时间序列值
```

```
Index(['id', 'time', 'F_x', 'F_y', 'F_z', 'T_x', 'T_y', 'T_z'], dtype='object')
```

```python
# 自动抽取全部特征
X_extracted = extract_features(timeseries,column_id = "id",column_sort = "time")
X_extracted
```

|     | T\_x\_\_variance\_larger\_than\_standard\_deviation | T\_x\_\_has\_duplicate\_max | T\_x\_\_has\_duplicate\_min | T\_x\_\_has\_duplicate | T\_x\_\_sum\_values | T\_x\_\_abs\_energy | T\_x\_\_mean\_abs\_change | T\_x\_\_mean\_change | T\_x\_\_mean\_second\_derivative\_central | T\_x\_\_median | ... | F\_z\_\_permutation\_entropy\_\_dimension\_5\_\_tau\_1 | F\_z\_\_permutation\_entropy\_\_dimension\_6\_\_tau\_1 | F\_z\_\_permutation\_entropy\_\_dimension\_7\_\_tau\_1 | F\_z\_\_query\_similarity\_count\_\_query\_None\_\_threshold\_0.0 | F\_z\_\_matrix\_profile\_\_feature\_"min"\_\_threshold\_0.98 | F\_z\_\_matrix\_profile\_\_feature\_"max"\_\_threshold\_0.98 | F\_z\_\_matrix\_profile\_\_feature\_"mean"\_\_threshold\_0.98 | F\_z\_\_matrix\_profile\_\_feature\_"median"\_\_threshold\_0.98 | F\_z\_\_matrix\_profile\_\_feature\_"25"\_\_threshold\_0.98 | F\_z\_\_matrix\_profile\_\_feature\_"75"\_\_threshold\_0.98 |
| --- | --------------------------------------------------- | --------------------------- | --------------------------- | ---------------------- | ------------------- | ------------------- | ------------------------- | -------------------- | ----------------------------------------- | -------------- | --- | ------------------------------------------------------ | ------------------------------------------------------ | ------------------------------------------------------ | ----------------------------------------------------------------- | ------------------------------------------------------------ | ------------------------------------------------------------ | ------------------------------------------------------------- | --------------------------------------------------------------- | ----------------------------------------------------------- | ----------------------------------------------------------- |
| 1   | 0.0                                                 | 1.0                         | 1.0                         | 1.0                    | -43.0               | 125.0               | 0.214286                  | 0.071429             | 0.038462                                  | -3.0           | ... | 1.972247                                               | 2.163956                                               | 2.197225                                               | NaN                                                               | NaN                                                          | NaN                                                          | NaN                                                           | NaN                                                             | NaN                                                         | NaN                                                         |
| 2   | 1.0                                                 | 1.0                         | 1.0                         | 1.0                    | -53.0               | 363.0               | 3.785714                  | -0.071429            | 0.153846                                  | -3.0           | ... | 2.397895                                               | 2.302585                                               | 2.197225                                               | NaN                                                               | NaN                                                          | NaN                                                          | NaN                                                           | NaN                                                             | NaN                                                         | NaN                                                         |
| 3   | 1.0                                                 | 0.0                         | 1.0                         | 1.0                    | -60.0               | 344.0               | 3.214286                  | 0.071429             | -0.076923                                 | -5.0           | ... | 2.397895                                               | 2.302585                                               | 2.197225                                               | NaN                                                               | NaN                                                          | NaN                                                          | NaN                                                           | NaN                                                             | NaN                                                         | NaN                                                         |
| 4   | 1.0                                                 | 1.0                         | 0.0                         | 1.0                    | -93.0               | 763.0               | 3.714286                  | -0.428571            | -0.192308                                 | -6.0           | ... | 2.271869                                               | 2.302585                                               | 2.197225                                               | NaN                                                               | NaN                                                          | NaN                                                          | NaN                                                           | NaN                                                             | NaN                                                         | NaN                                                         |
| 5   | 1.0                                                 | 0.0                         | 0.0                         | 1.0                    | -105.0              | 849.0               | 4.071429                  | -0.357143            | 0.000000                                  | -8.0           | ... | 2.271869                                               | 2.302585                                               | 2.197225                                               | NaN                                                               | NaN                                                          | NaN                                                          | NaN                                                           | NaN                                                             | NaN                                                         | NaN                                                         |
| ... | ...                                                 | ...                         | ...                         | ...                    | ...                 | ...                 | ...                       | ...                  | ...                                       | ...            | ... | ...                                                    | ...                                                    | ...                                                    | ...                                                               | ...                                                          | ...                                                          | ...                                                           | ...                                                             | ...                                                         | ...                                                         |
| 84  | 1.0                                                 | 0.0                         | 0.0                         | 1.0                    | 5083.0              | 1825597.0           | 18.857143                 | 15.285714            | -0.538462                                 | 394.0          | ... | 1.366711                                               | 1.609438                                               | 1.831020                                               | NaN                                                               | NaN                                                          | NaN                                                          | NaN                                                           | NaN                                                             | NaN                                                         | NaN                                                         |
| 85  | 1.0                                                 | 0.0                         | 0.0                         | 1.0                    | -511.0              | 18023.0             | 2.785714                  | -1.214286            | 0.192308                                  | -33.0          | ... | 1.972247                                               | 2.163956                                               | 2.197225                                               | NaN                                                               | NaN                                                          | NaN                                                          | NaN                                                           | NaN                                                             | NaN                                                         | NaN                                                         |
| 86  | 1.0                                                 | 0.0                         | 0.0                         | 1.0                    | -987.0              | 67981.0             | 3.928571                  | -3.500000            | -0.153846                                 | -65.0          | ... | 0.600166                                               | 0.639032                                               | 0.683739                                               | NaN                                                               | NaN                                                          | NaN                                                          | NaN                                                           | NaN                                                             | NaN                                                         | NaN                                                         |
| 87  | 1.0                                                 | 0.0                         | 0.0                         | 1.0                    | -1921.0             | 247081.0            | 6.642857                  | -0.357143            | 0.461538                                  | -126.0         | ... | 1.366711                                               | 1.609438                                               | 1.831020                                               | NaN                                                               | NaN                                                          | NaN                                                          | NaN                                                           | NaN                                                             | NaN                                                         | NaN                                                         |
| 88  | 1.0                                                 | 1.0                         | 0.0                         | 1.0                    | -304.0              | 6408.0              | 2.428571                  | -0.714286            | 0.230769                                  | -21.0          | ... | 2.397895                                               | 2.302585                                               | 2.197225                                               | NaN                                                               | NaN                                                          | NaN                                                          | NaN                                                           | NaN                                                             | NaN                                                         | NaN                                                         |

```python
# 选择性生成特征 
fc_parameters = { "length": None, "large_standard_deviation": [{"r": 0.05}, {"r": 0.1}] } 
extract_features(timeseries, column_id = "id",column_sort = "time",default_fc_parameters=fc_parameters)
```

|     | F\_x\_\_length | F\_x\_\_large\_standard\_deviation\_\_r\_0.05 | F\_x\_\_large\_standard\_deviation\_\_r\_0.1 | F\_y\_\_length | F\_y\_\_large\_standard\_deviation\_\_r\_0.05 | F\_y\_\_large\_standard\_deviation\_\_r\_0.1 | F\_z\_\_length | F\_z\_\_large\_standard\_deviation\_\_r\_0.05 | F\_z\_\_large\_standard\_deviation\_\_r\_0.1 | T\_x\_\_length | T\_x\_\_large\_standard\_deviation\_\_r\_0.05 | T\_x\_\_large\_standard\_deviation\_\_r\_0.1 | T\_y\_\_length | T\_y\_\_large\_standard\_deviation\_\_r\_0.05 | T\_y\_\_large\_standard\_deviation\_\_r\_0.1 | T\_z\_\_length | T\_z\_\_large\_standard\_deviation\_\_r\_0.05 | T\_z\_\_large\_standard\_deviation\_\_r\_0.1 |
| --- | -------------- | --------------------------------------------- | -------------------------------------------- | -------------- | --------------------------------------------- | -------------------------------------------- | -------------- | --------------------------------------------- | -------------------------------------------- | -------------- | --------------------------------------------- | -------------------------------------------- | -------------- | --------------------------------------------- | -------------------------------------------- | -------------- | --------------------------------------------- | -------------------------------------------- |
| 1   | 15.0           | 1.0                                           | 1.0                                          | 15.0           | 1.0                                           | 1.0                                          | 15.0           | 1.0                                           | 1.0                                          | 15.0           | 1.0                                           | 1.0                                          | 15.0           | 1.0                                           | 1.0                                          | 15.0           | 0.0                                           | 0.0                                          |
| 2   | 15.0           | 1.0                                           | 1.0                                          | 15.0           | 1.0                                           | 1.0                                          | 15.0           | 1.0                                           | 1.0                                          | 15.0           | 1.0                                           | 1.0                                          | 15.0           | 1.0                                           | 1.0                                          | 15.0           | 1.0                                           | 1.0                                          |
| 3   | 15.0           | 1.0                                           | 1.0                                          | 15.0           | 1.0                                           | 1.0                                          | 15.0           | 1.0                                           | 1.0                                          | 15.0           | 1.0                                           | 1.0                                          | 15.0           | 1.0                                           | 1.0                                          | 15.0           | 1.0                                           | 1.0                                          |
| 4   | 15.0           | 1.0                                           | 1.0                                          | 15.0           | 1.0                                           | 1.0                                          | 15.0           | 1.0                                           | 1.0                                          | 15.0           | 1.0                                           | 1.0                                          | 15.0           | 1.0                                           | 1.0                                          | 15.0           | 1.0                                           | 1.0                                          |
| 5   | 15.0           | 1.0                                           | 1.0                                          | 15.0           | 1.0                                           | 1.0                                          | 15.0           | 1.0                                           | 1.0                                          | 15.0           | 1.0                                           | 1.0                                          | 15.0           | 1.0                                           | 1.0                                          | 15.0           | 1.0                                           | 1.0                                          |
| ... | ...            | ...                                           | ...                                          | ...            | ...                                           | ...                                          | ...            | ...                                           | ...                                          | ...            | ...                                           | ...                                          | ...            | ...                                           | ...                                          | ...            | ...                                           | ...                                          |
| 84  | 15.0           | 1.0                                           | 1.0                                          | 15.0           | 1.0                                           | 1.0                                          | 15.0           | 1.0                                           | 1.0                                          | 15.0           | 1.0                                           | 1.0                                          | 15.0           | 1.0                                           | 1.0                                          | 15.0           | 1.0                                           | 1.0                                          |
| 85  | 15.0           | 1.0                                           | 1.0                                          | 15.0           | 1.0                                           | 1.0                                          | 15.0           | 1.0                                           | 1.0                                          | 15.0           | 1.0                                           | 1.0                                          | 15.0           | 1.0                                           | 1.0                                          | 15.0           | 1.0                                           | 1.0                                          |
| 86  | 15.0           | 1.0                                           | 1.0                                          | 15.0           | 1.0                                           | 1.0                                          | 15.0           | 1.0                                           | 1.0                                          | 15.0           | 1.0                                           | 1.0                                          | 15.0           | 1.0                                           | 1.0                                          | 15.0           | 1.0                                           | 1.0                                          |
| 87  | 15.0           | 1.0                                           | 1.0                                          | 15.0           | 1.0                                           | 1.0                                          | 15.0           | 1.0                                           | 1.0                                          | 15.0           | 1.0                                           | 1.0                                          | 15.0           | 1.0                                           | 1.0                                          | 15.0           | 1.0                                           | 1.0                                          |
| 88  | 15.0           | 1.0                                           | 1.0                                          | 15.0           | 1.0                                           | 1.0                                          | 15.0           | 1.0                                           | 1.0                                          | 15.0           | 1.0                                           | 1.0                                          | 15.0           | 1.0                                           | 1.0                                          | 15.0           | 1.0                                           | 1.0                                          |

```python
# 自动特征选择 
X_extracted_cols = X_extracted.isnull().sum().where(lambda x : x==0).dropna().index # 由于不是所有生成的变量都是有意义的，删除掉包含NA的特征，这也是特征选择函数的要求 
X_selected = select_features(X_extracted[X_extracted_cols], y) 
```

```python
# fresh算法自动从2203个特征中选择出了665个 
print('count of raw feature: {}'.format(len(X_extracted_cols))) 
print('count of auto-selected feature: {}'.format(len(X_selected.columns))) 
```

```python
count of raw feature: 2203 
count of auto-selected feature: 665 
```

官方文档的这个流程展示了用fresh算法进行特征选择的思路，简单来说，它是通过比较不同时间序列类别下特征的显著性差异来确定是否要挑选出这个特征。

![](https://tsfresh.readthedocs.io/en/latest/_images/feature_extraction_process_20160815_mc_1.png)

除此之外，还有其他用于特征选择的方法，如recursive feature elimination (RFE)，不过tsfresh包并没有内置这种方法，可以结合sklearn中的RFE方法自行组合使用。
