# Kernel

## Definition of Kernel

Kernel: A kernel is a mathematical function that takes two inputs, typically vectors in a high-dimensional space, and outputs a scalar. The kernel function defines a similarity or distance between the two vectors.

## How is Kernel used?

Kernel is the core component of a computer’s operating system that acts as an interface between the user’s applications and the machine’s hardware components. The kernel’s main role is to manage the system’s resources (e.g. memory, processes, tasks, etc.) and provide an environment for applications to run in. In data science and machine learning, kernels are used to define how a certain algorithm works on a specific dataset or problem. A kernel defines a set of functions that can be applied to transform input data into output results with specific characteristics. For example, a Gaussian Kernel is commonly used for classification algorithms like Support Vector Machines (SVMs) because it can transform input data into two dimensions which allows them to be more easily separated by an SVM classifier. Kernels also allow us to apply different kinds of transformations to our data before feeding it into our models; this way we can have more control over the model and its performance on our dataset.