Reproduce “Deep Learning of Topological Equivalence Classes” on OpenResearch

Turn your favorite coding agents into research agents that review literature, develop hypotheses, and run experiments.

Universal app for Apple silicon and Intel. Requires macOS 11 or later.

About this paper

Linden Disney-Hogg, Max Zuev

The authors train a pairwise classifier to predict whether generating vectors encode topologically equivalent finite-group actions on Riemann surfaces. The model compares tokenized descriptions using an adapted text-matching architecture. Its best test accuracy is 85.8% on 86,760 class-uniform pairs, but performance varies across pair types; this is supervised prediction, not an exact equivalence test or demonstrated replacement for orbit computation.

Summary by alphaXiv.

Tip: change arxiv.org to autoarxiv.org in any arXiv abstract link to open the paper here.