# Numeric and Binary Encoders in Python

A categorical variable, as the name suggests, is used to represent categories or labels. For instance, a categorical variable could represent major cities in the world, the four seasons in a year, or the industry (oil, travel, technology) of a company. […] The categories of a categorical variable are usually not numeric. [..] Thus, an encoding method is needed to turn these non-numeric categories into numbers.

^{1}

Both Pandas and scikit-learn propose encoders to deal with categorical variables. But the distinction between each technique and implementation is not obvious. This is what I will try to clarify it in this article.

Basically we can distinct two kinds of encoder:

- Encode
**labels (categorical variables) into numeric variables**: Pandas`factorize`

and scikit-learn`LabelEncoder`

. The result will have 1 dimension. - Encode
**categorical variable into dummy/indicator (binary) variables**: Pandas`get_dummies`

and scikit-learn`OneHotEncoder`

. The result will have n dimensions (or n-1 dimensions), one by distinct value of the encoded categorical variable.

The main difference between pandas and scikit-learn encoders is that they are made to be used in **scikit-learn pipelines** with `fit`

and `transform`

methods.

# Encode labels into numerical variables

Pandas `factorize`

and scikit-learn `LabelEncoder`

belong to the first category. They can be used to encode labels (nonnumerical variables) to numerical variables.

```
from sklearn import preprocessing
# Test data
df = DataFrame(['A', 'B', 'B', 'C'], columns=['Col'])
df['Fact'] = pd.factorize(df['Col'])[0]
le = preprocessing.LabelEncoder()
df['Lab'] = le.fit_transform(df['Col'])
# Col Fact Lab
# 0 A 0 0
# 1 B 1 1
# 2 B 1 1
# 3 C 2 2
```

But pay attention since converting nonnumerical variables to numbers is not the end of the road.

The values may be represented numerically. However, unlike other numeric variables, the values of a categorical variable cannot be ordered with respect to one another. (Oil is neither greater than nor less than travel as an industry type.) They are called non-ordinal.$^1$

# Encode categorical variable into dummy/indicator (binary) variables

Pandas `get_dummies`

and scikit-learn `OneHotEncoder`

can be used to create binary variables. `OneHotEncoder`

can only be used with categorical integers while get_dummies can be used with other type of variables. Another difference is that they refer to two feature engineering techniques:

**One-hot encoding**: It uses k bit to encode k values. It is implemented by both`OneHotEncoder`

and`get_dummies`

.**Dummy coding**: It uses k-1 bit to encode k values. It is implemented only by`get_dummies`

.

```
df = DataFrame(['A', 'B', 'B', 'C'], columns=['Col'])
df = pd.get_dummies(df)
# Col_A Col_B Col_C
# 0 1.0 0.0 0.0
# 1 0.0 1.0 0.0
# 2 0.0 1.0 0.0
# 3 0.0 0.0 1.0
```

We can see here that 3 bits are required to encode 3 distinct values where the variable itself needs only 2 bits (k-1 bits). In this case the extra feature is dropped (`A`

) thanks to the parameter drop_first and so it is represented implicitly by all 0.

This is known as the reference category.

```
df = DataFrame(['A', 'B', 'B', 'C'], columns=['Col'])
df = pd.get_dummies(df, drop_first=True)
# Col_B Col_C
# 0 0 0
# 1 1 0
# 2 1 0
# 3 0 1
```

It’s trickier to do the same thing with scikit-learn since data has to be converted first to numeric before using the `OneHotEncoder`

.

```
from sklearn.preprocessing import OneHotEncoder, LabelEncoder
df = DataFrame(['A', 'B', 'B', 'C'], columns=['Col'])
# We need to transform first character into integer in order to use the OneHotEncoder
le = preprocessing.LabelEncoder()
df['Col'] = le.fit_transform(df['Col'])
enc = OneHotEncoder()
df = DataFrame(enc.fit_transform(df).toarray())
# 0 1 2
# 0 1.0 0.0 0.0
# 1 0.0 1.0 0.0
# 2 0.0 1.0 0.0
# 3 0.0 0.0 1.0
```

*Note: This post is an augmented version of my Stack Overflow answer ^{2}*