Topological Deep Learning: Classification Neural Networks

Understand

Topological deep learning is a formalism that is aimed at introducing topological language to deep learning for the purpose of utilizing the minimal mathematical structures to formalize problems that arise in a generic deep learning problem.

• This is the first of a sequence of articles with the purpose of introducing and studying this formalism.
• In this article, we define and study the classification problem in machine learning in a topological setting.
• Using this topological framework, we show when the classification problem is possible or not possible in the context of neural networks.