# What is KNN algorithm in Machine Learning

It appears in a lot of Machine Learning interviews that, What is the KNN algorithm in Machine Learning? Today we are going to discuss it in depth. Read the full post to get a basic understanding of the KNN algorithm.

Suppose we have a test Input X and we have to classify this X into a label based on our training dataset. How can we do this? Through the KNN algorithm we have to classify X based on its K neighbours. Let’s say we are classifying X based on K=3, so in order to label the X, we will look into the 3 nearest neighbours of X, so if among the 3 neighbours if 2 labels are Yes then, we will classify X as Yes. See the image below.

#### Formal Definition of KNN algorithm in Machine Learning

Assuming x to be our test point, let’s denote the set of the k nearest neighbours of x as S. Formally, S is defined as

• S subset of D(all data points)
• |S| = K
• Every Point that is in D but not in S is at least as far away from x as the furthest point in S
• Where h() is classifier which returns the most common label available in S

The Wikipedia Definition of the KNN algorithm is HERE.

What if Set S contain equal numbers of labels. For example, it contains two Yes and two No?

We usually take K as an odd number so that there will be more Yes labels or more No labels.

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