如果我們今天有一些連續性的數值，可以使用cut及qcut進行離散化。
cut函数是利用數值區間將數值分類，qcut則是用分位數。
換句話說，cut用在長度相等的類別，qcut用在大小相等的類別。
假設我們有一些人的年齡
ages = [20, 22, 25, 27, 21, 23, 37, 31, 61, 45, 41, 32, 101]
我們如果想要離散化這些數列，分成“18到25”、“25到35”、“35到60”以及“60以上”，可以使用cut函數
1
2
3
4
5
6
7
|
bins = [18, 25, 35, 60, 100]
cats = pd.cut(ages, bins)
cats
output:
[(18, 25], (18, 25], (18, 25], (25, 35], (18, 25], ..., (60, 100], (35, 60], (35, 60], (25, 35], NaN]
Length: 13
Categories (4, interval[int64]): [(18, 25] < (25, 35] < (35, 60] < (60, 100]]
|
第一個list是指每個年齡分別在哪個範圍內，如果超出了就變成
NaN缺失值，cats有兩個屬性：
1
2
3
|
cats.labels
output:
array([ 0, 0, 0, 1, 0, 0, 2, 1, 3, 2, 2, 1, -1], dtype=int8)
|
我們也可以賦予範圍標籤，比如：
1
2
3
4
5
6
|
group_names = ['Youth', 'YoungAdult', 'MiddleAged', 'Senior']
pd.cut(ages, bins, labels=group_names)
output:
[Youth, Youth, Youth, YoungAdult, Youth, ..., Senior, MiddleAged, MiddleAged, YoungAdult, NaN]
Length: 13
Categories (4, object): [MiddleAged < Senior < YoungAdult < Youth]
|
1
2
3
4
5
6
7
8
9
10
11
12
|
data = np.random.randn(1000) #高斯分佈
cats = pd.qcut(data, 4) #按四分位數分類，也可以用[0, .25, .5, .75, 1.]
cats
output:
[(0.624, 3.928], (-0.691, -0.0144], (-0.691, -0.0144], (-0.0144, 0.624], (0.624, 3.928], ..., (-0.0144, 0.624], (-0.0144, 0.624], [-2.949, -0.691], (-0.0144, 0.624], (0.624, 3.928]] Length: 1000 Categories (4, object): [[-2.949, -0.691] < (-0.691, -0.0144] < (-0.0144, 0.624] < (0.624, 3.928]]
pd.value_counts(cats) #計算每個區間的數值個數
output:
(0.624, 3.928] 250
(-0.0144, 0.624] 250
(-0.691, -0.0144] 250
[-2.949, -0.691] 250
dtype: int64
|
會發現
qcut把所有數值平均分配了，當然如果不想用四分位的話還可以自行輸入list，只要範圍介在0~1，例如
[0, 0.1, 0.5, 0.9, 1.]