# Bayesian Topological Learning for Brain State Classification

arXiv: https://arxiv.org/abs/1912.08348 · HTML: https://mlsanity.com/paper/1912.08348/

## Key facts

- Cited by 7 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 18 Dec 2019.

## Built on by (most cited first, 7 of 7)

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- [A Random Persistence Diagram Generator](https://mlsanity.com/paper/2104.07737/) (2021)
- [Materials Fingerprinting Classification](https://mlsanity.com/paper/2101.05808/) (2021)
- [Topological data analysis of human vowels: Persistent homologies across representation spaces](https://mlsanity.com/paper/2310.06508/) (2023)
- [Inferring COVID-19 Biological Pathways from Clinical Phenotypes via Topological Analysis](https://mlsanity.com/paper/2101.07417/) (2021)
- [Spectral-Stimulus Information for Self-Supervised Stimulus Encoding](https://mlsanity.com/paper/2407.06195/) (2024)

## Abstract (arXiv)

Investigation of human brain states through electroencephalograph (EEG) signals is a crucial step in human-machine communications. However, classifying and analyzing EEG signals are challenging due to their noisy, nonlinear and nonstationary nature. Current methodologies for analyzing these signals often fall short because they have several regularity assumptions baked in. This work provides an effective, flexible and noise-resilient scheme to analyze EEG by extracting pertinent information while abiding by the 3N (noisy, nonlinear and nonstationary) nature of data. We implement a topological tool, namely persistent homology, that tracks the evolution of topological features over time intervals and incorporates individual's expectations as prior knowledge by means of a Bayesian framework to compute posterior distributions. Relying on these posterior distributions, we apply Bayes factor classification to noisy EEG measurements. The performance of this Bayesian classification scheme is then compared with other existing methods for EEG signals.