We experimentally investigate a collection of feature engineering pipelines for use with a CNN for classifying eyes-open or eyes-closed from electroencephalogram (EEG) time-series from the Bonn dataset. Using the Takens' embedding--a geometric representation of time-series--we construct simplicial complexes from EEG data. We then compare $ε$-series of Betti-numbers and $ε$-series of graph spectra (a novel construction)--two topological invariants of the latent geometry from these complexes--to raw time series of the EEG to fill in a gap in the literature for benchmarking. These methods, inspired by Topological Data Analysis, are used for feature engineering to capture local geometry of the time-series. Additionally, we test these feature pipelines' robustness to downsampling and data reduction. This paper seeks to establish clearer expectations for both time-series classification via geometric features, and how CNNs for time-series respond to data of degraded resolution.
A Unified SPD Token Transformer Framework for EEG Classification: Systematic Comparison of Geometric Embeddings
Independent Researcher（独立研究者）；Department of Electrophysics, National Yang Ming Chiao Tung University, Hsinchu, Taiwan（国家阳明交通大学电子物理系）；Department of Mathematics, Boise State University, Boise, ID, USA（数学系，博伊州立大学）
PHINN-EEG: Topological Time-Series Analysis of Dream-State EEG -- Dynamic Betti Curves for Dream Content Classification and Topology-Conditioned Neural Signal Synthesis
Geometric Neural Network based on Phase Space for BCI-EEG decoding
Université Côte d’Azur（蔚蓝海岸大学）；Inria（法国国家信息与自动化研究所）；Université Paris-Saclay（巴黎萨克雷大学）；Universidade Federal do ABC（ABC联邦大学）；Paris Brain Institute（巴黎脑研究所）
Mask-Morph Graph U-Net: A Generalisable Mesh-Based Surrogate for Crashworthiness Field Prediction under Large Geometric Variation
Dyson School of Design Engineering, Imperial College London（帝国理工学院伦敦设计工程学院）；TUM School of Engineering and Design, Technical University of Munich（慕尼黑技术大学工程与设计学院）；Faculty of Mechanical Engineering, OTH Regensburg（雷根斯堡机械工程学院）；NVIDIA（NVIDIA公司）
Università degli Studi di Napoli Federico II（那不勒斯费德里科二世大学）；Technion — Israel Institute of Technology（以色列理工学院）；Johns Hopkins University（约翰斯·霍普金斯大学）；Scuola Superiore Meridionale（南方高等学校）
