Top 12 Dimensionality Reduction Techniques

Pulkit Sharma Last Updated : 02 May, 2025
23 min read

Working with datasets that have thousands or even over 50,000 features can be both a blessing and a challenge. While having a lot of data is great for analysis, it’s often impractical to examine each feature in detail due to the time, cost, and computational power required. To handle such high-dimensional data efficiently, dimensionality reduction techniques are essential. These methods help reduce the number of features without losing much information, improving or maintaining model performance. This guide explores the concept of dimensionality reduction, its importance, and 12 practical techniques, each with Python implementations to help you understand and apply them effectively.

1. What is Dimensionality Reduction?

We are generating a tremendous amount of data daily. 90% of the world’s data has been generated in the last 3-4 years! The numbers are truly mind-boggling. Below are just some of the examples of the kind of data being collected:

  • Facebook collects data about what you like, share, post, places you visit, restaurants you like, etc.
  • Your smartphone apps collect a lot of personal information about you
  • Amazon collects data on what you buy, view, click, etc., on their site
  • Casinos keep track of every move each customer makes

As data generation and collection keeps increasing, visualizing it and drawing inferences becomes more and more challenging. One of the most common ways of doing visualization is through charts. Suppose we have 2 variables: Age and Height. We can use a scatter or line plot between Age and Height and visualize their relationship easily:

Dimensionality Reduction Techniques

Now consider a case where we have, say, 100 variables (p=100). We can have 100(100-1)/2 = 5000 different plots in this case. It does not make much sense to visualize each of them separately, right? In such cases where we have many variables, it is better to select a subset of these variables (p<<100) which captures as much information as the original set of variables.

Let us understand this with a simple example. Consider the below image:

Dimensionality Reduction Techniques

Here we have weights of similar objects in Kg (X1) and Pound (X2). If we use both of these variables, they will convey similar information. So, it would make sense to use only one variable. We can convert the data from 2D (X1 and X2) to 1D (Y1) as shown below:

Dimensionality Reduction Techniques

Similarly, we can reduce the p dimensions of the data into a subset of k dimensions (k<<n). This is called dimensionality reduction.

2. Why are Dimensionality Reduction Techniques Required?

Here are some of the benefits of applying dimensionality reduction to a dataset:

  • The space required to store the data is reduced as the number of dimensions comes down
  • Fewer dimensions lead to less computation/training time
  • Some algorithms do not perform well when we have large dimensions. So, reducing these dimensions needs to happen for the algorithm to be useful