# Noncommutative Model Selection and the Data-Driven Estimation of Real Cohomology Groups

arXiv: https://arxiv.org/abs/2411.19894 · HTML: https://mlsanity.com/paper/2411.19894/

## Key facts

- No citing papers in the map yet (data through 14 Oct 2026).
- First posted on arXiv 29 Nov 2024.

## Abstract (arXiv)

We propose three completely data-driven methods for estimating the real cohomology groups Hk (X ; ℝ) of a compact metric-measure space (X, dX, μX) embedded in a metric-measure space (Y,dY,μY), given a finite set of points S sampled from a uniform distrbution μX on X, possibly corrupted with noise from Y. We present the results of several computational experiments in the case that X is embedded in ℝn, where two of the three algorithms performed well.