arXiv Machine Learning
Aug 11

SPD Learn: A Geometric Deep Learning Python Library for Neural Decoding Through Trivialization

arXiv:2602. 22895v2 Announce Type: replace-cross Abstract: Implementations of symmetric positive definite (SPD) matrix-based neural networks for neural decoding remain fragmented across research codebases and Python packages.

By Bruno Aristimunha, Ce Ju, Antoine Collas, Florent Bouchard, Ammar Mian, Bertrand Thirion, Sylvain Chevallier, Reinmar Kobler
arXiv AI
Aug 24

SPD Matrix Learning for Neuroimaging Analysis: Perspectives, Methods, and Challenges

This review discusses how neuroimaging data can be represented as symmetric positive-definite (SPD) matrices and analyzed using the Riemannian geometry of the SPD manifold. It surveys the evolution from modality-specific SPD representations to geometric shallow and deep learning methods, emphasizing how these approaches maintain structural constraints while integrating modern AI techniques. The paper frames SPD matrix learning as a bridge between classical geometric statistics and contemporary machine learning in neuroimaging and brain‑computer interface research.

By Ce Ju, Reinmar Kobler, Antoine Collas, Motoaki Kawanabe, Cuntai Guan, Bertrand Thirion
arXiv Machine Learning
Sep 25

Personalised federated learning for Riemannian and Euclidean EEG decoding

The paper introduces a personalised federated learning approach for EEG decoding, applying it to both a Riemannian SPDNet and a Euclidean EEGNet. In this scheme, all subjects share a common trunk that learns a latent representation, while each subject retains a private head for classification, thereby addressing inter‑subject variability. Experiments on three motor‑imagery datasets show that personalised SPDNet outperforms standard federated learning and centralised training, converges faster, and communicates fewer parameters, and it also surpasses all EEGNet variants on two of the datasets.

By Thibault Pautrel, Florent Bouchard, Ammar Mian, Guillaume Ginolhac
Hugging Face Trending Papers
Sep 24

Personalised federated learning for Riemannian and Euclidean EEG decoding

The paper explores personalised federated learning for EEG decoding using two lightweight models: the Riemannian SPDNet and the Euclidean EEGNet. In the personalised approach, all subjects share a common trunk while keeping individual heads, which improves accuracy and reduces communication compared to standard federated learning and centralised training. Experiments on three motor‑imagery datasets show that personalised SPDNet outperforms both standard FL and centralised training, and beats EEGNet on two datasets, though centralised EEGNet remains superior to centralised SPDNet.