Sampling from π_n(S^2). Application of optimization and machine learning methods to problems of algebraic topology

Investigations of Boolean functions, their Cayley graphs, and associated structures.

Let’s train various models to embed Cayley graphs to hyperbolic plane and then study, how much can we say about groups from these embeddings. At the same time, let’s study models generalization ability, by changing their hyperparameters.

Exploring sage math