Feature Scaling in Machine Learning
Feature scaling is a technique used in machine learning to normalize the range of features. It can be beneficial
to scale features in order to help algorithms perform better when features are on different scales or units. In
this article, we will explore what feature scaling is, why it is important, and some common techniques used for
scaling features.
Why is Feature Scaling Important?
When working with a dataset, features often have different scales and units. For example, suppose we are
building a predictive model for housing prices. Features like the number of rooms, square footage, and the age
of the house are all on different scales. Age is measured in years, square footage is in square feet, and the
number of rooms is a count. If we feed these features directly to a machine learning algorithm, it may give too
much importance to features with larger scales, which can result in a suboptimal model. Feature scaling can be
used to address this issue by ensuring that all features have the same scale.
What is Feature Scaling?
Feature scaling is a preprocessing technique used to transform features into a consistent range. There are
several methods for scaling features, ranging from simple scaling to more complex normalization techniques.
Scaling can be applied either to a single feature or across all features in a dataset.
Common Feature Scaling Techniques in Machine Learning

MinMax Scaling: this is a simple scaling technique that maps the minimum and maximum
values to a range of 0 to 1. This transformation is calculated using the formula:
X_scaled = (X  X_min) / (X_max  X_min)
where X is the original feature value, X_min is the minimum value of the feature, and X_max is the maximum
value of the feature. Minmax scaling is useful when we know the range of the data and want to map it to a
specific range. It is also useful when we want to preserve the sparsity of the data.

ZScore Scaling: this technique scales the data to have a mean of 0 and a standard
deviation of 1. This is done using the formula:
X_scaled = (X  X_mean) / X_std
where X is the original feature value, X_mean is the mean of the feature, and X_std is the standard
deviation of the feature. Zscore scaling is useful when we don't know the range of the data and want to
transform it into a standardized distribution.

Robust Scaling: this technique is similar to minmax scaling but uses the median and
interquartile range instead of the minimum and maximum values. This transformation is calculated using the
formula:
X_scaled = (X  X_median) / IQR
where X is the original feature value, X_median is the median of the feature, and IQR is the
interquartile range of the feature. Robust scaling is useful when we have outliers in the data, as it is
less affected by extreme values than other scaling techniques.

Unit Vector Scaling: this technique scales the data to have a length of 1. This is done
using the formula:
X_scaled = X / X
where X is the original feature vector and X is its magnitude. Unit vector scaling is useful when we
want to preserve the direction of the data, as it normalizes the feature vector to a constant magnitude.
When to use Feature Scaling?
Feature scaling can be applied in many scenarios, but there are some cases where it is particularly useful.
Here are some examples:

DistanceBased Algorithms: algorithms that use distance measures such as knearest
neighbors (KNN) or support vector machines (SVM) can be sensitive to the range of features. In such cases,
it is useful to scale features to ensure that their importance is appropriately balanced.

Gradient Descent: optimization algorithms such as gradient descent work best when
features are in a similar range. This is because the algorithm tries to minimize the error by adjusting the
weights of each feature. If features are on vastly different scales, the algorithm may not converge
properly or may take a long time to converge. Scaling features can help prevent these issues.

Neural Networks: deep learning models such as neural networks can be sensitive to the
scale of the input features. Scaling features can help prevent vanishing or exploding gradients, which can
make training more difficult.
Conclusion
Feature scaling is an important technique in machine learning that can help improve the performance of
algorithms when working with datasets that have features on different scales. We explored several common
techniques for scaling features such as minmax scaling, zscore scaling, robust scaling, and unit vector
scaling. By using these techniques, we can ensure that our machine learning models are optimized for performance
and accuracy.