HEEGNet: Hyperbolic Embeddings for EEG

Fuente: arXiv
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Main Authors: Li, Shanglin, Chu, Shiwen, Koç, Okan, Ding, Yi, Zhao, Qibin, Kawanabe, Motoaki, Chen, Ziheng
Format: Preprint
Published: 2026
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author Li, Shanglin
Chu, Shiwen
Koç, Okan
Ding, Yi
Zhao, Qibin
Kawanabe, Motoaki
Chen, Ziheng
author_facet Li, Shanglin
Chu, Shiwen
Koç, Okan
Ding, Yi
Zhao, Qibin
Kawanabe, Motoaki
Chen, Ziheng
contents Electroencephalography (EEG)-based brain-computer interfaces facilitate direct communication with a computer, enabling promising applications in human-computer interactions. However, their utility is currently limited because EEG decoding often suffers from poor generalization due to distribution shifts across domains (e.g., subjects). Learning robust representations that capture underlying task-relevant information would mitigate these shifts and improve generalization. One promising approach is to exploit the underlying hierarchical structure in EEG, as recent studies suggest that hierarchical cognitive processes, such as visual processing, can be encoded in EEG. While many decoding methods still rely on Euclidean embeddings, recent work has begun exploring hyperbolic geometry for EEG. Hyperbolic spaces, regarded as the continuous analogue of tree structures, provide a natural geometry for representing hierarchical data. In this study, we first empirically demonstrate that EEG data exhibit hyperbolicity and show that hyperbolic embeddings improve generalization. Motivated by these findings, we propose HEEGNet, a hybrid hyperbolic network architecture to capture the hierarchical structure in EEG and learn domain-invariant hyperbolic embeddings. To this end, HEEGNet combines both Euclidean and hyperbolic encoders and employs a novel coarse-to-fine domain adaptation strategy. Extensive experiments on multiple public EEG datasets, covering visual evoked potentials, emotion recognition, and intracranial EEG, demonstrate that HEEGNet achieves state-of-the-art performance. The code is available at https://github.com/fightlesliefigt/HEEGNet
format Preprint
id arxiv_https___arxiv_org_abs_2601_03322
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle HEEGNet: Hyperbolic Embeddings for EEG
Li, Shanglin
Chu, Shiwen
Koç, Okan
Ding, Yi
Zhao, Qibin
Kawanabe, Motoaki
Chen, Ziheng
Machine Learning
Artificial Intelligence
Electroencephalography (EEG)-based brain-computer interfaces facilitate direct communication with a computer, enabling promising applications in human-computer interactions. However, their utility is currently limited because EEG decoding often suffers from poor generalization due to distribution shifts across domains (e.g., subjects). Learning robust representations that capture underlying task-relevant information would mitigate these shifts and improve generalization. One promising approach is to exploit the underlying hierarchical structure in EEG, as recent studies suggest that hierarchical cognitive processes, such as visual processing, can be encoded in EEG. While many decoding methods still rely on Euclidean embeddings, recent work has begun exploring hyperbolic geometry for EEG. Hyperbolic spaces, regarded as the continuous analogue of tree structures, provide a natural geometry for representing hierarchical data. In this study, we first empirically demonstrate that EEG data exhibit hyperbolicity and show that hyperbolic embeddings improve generalization. Motivated by these findings, we propose HEEGNet, a hybrid hyperbolic network architecture to capture the hierarchical structure in EEG and learn domain-invariant hyperbolic embeddings. To this end, HEEGNet combines both Euclidean and hyperbolic encoders and employs a novel coarse-to-fine domain adaptation strategy. Extensive experiments on multiple public EEG datasets, covering visual evoked potentials, emotion recognition, and intracranial EEG, demonstrate that HEEGNet achieves state-of-the-art performance. The code is available at https://github.com/fightlesliefigt/HEEGNet
title HEEGNet: Hyperbolic Embeddings for EEG
topic Machine Learning
Artificial Intelligence
url https://arxiv.org/abs/2601.03322