Deep learning is a specific type of machine learning algorithm that uses multi-level neural networks.

A neural network is an algorithm that simulates the structure of the brain by having nodes (neurons) and relationships (dendrites). A neural network solves a problem by converting the problem into a set of input nodes, a set of output nodes, and a set of intermediate or "hidden" nodes. Deep learning is just a neural network with multiple intermediate layers of nodes.

Machine learning is the subset of artificial intelligence that deals with computers learning to solve problems, and optimize solutions by analyzing data instead of being directly programmed.

There are many different types of machine learning algorithms, including deep learning, generic algorithms, reinforced learning, and many others. Any algorithm that can modify itself and learn from its data can be considered machine learning.