Riemannian classification of EEG signals with missing values
Alexandre Hippert-Ferrer, Ammar Mian, Florent Bouchard and, Fr\'ed\'eric Pascal

TL;DR
This paper introduces a Riemannian classification method for EEG signals with missing data, utilizing an expectation-maximization approach to improve accuracy over existing methods in brain-computer interface tasks.
Contribution
It presents a novel strategy using observed-data likelihood and EM algorithm for classifying EEG signals with missing values, outperforming state-of-the-art techniques.
Findings
Proposed method outperforms existing approaches on real EEG data.
The approach is applicable to various missing data scenarios.
It improves classification accuracy in brain-computer interface tasks.
Abstract
This paper proposes a strategy to handle missing data for the classification of electroencephalograms using covariance matrices. It relies on the observed-data likelihood within an expectation-maximization algorithm. This approach is compared to two existing state-of-the-art methods: (i) covariance matrices computed with imputed data; (ii) Riemannian averages of partially observed covariance matrix. All approaches are combined with the minimum distance to Riemannian mean classifier and applied to a classification task of two widely known paradigms of brain-computer interfaces. In addition to be applicable for a wider range of missing data scenarios, the proposed strategy generally performs better than other methods on the considered real EEG data.
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