Network clustering via kernel-ARMA modeling and the Grassmannian: The brain-network case

C Ye, K Slavakis, PV Patil, J Nakuci, SF Muldoon… - Signal Processing, 2021 - Elsevier
… threads of the components of the proposed framework are: a novel kernel-based … the network
time-series, and the Riemannian geometry of the Grassmann manifold (Grassmannian) into …

Brain-Network Clustering via Kernel-ARMA Modeling and the Grassmannian

C Ye, K Slavakis, PV Patil, SF Muldoon… - arXiv preprint arXiv …, 2019 - arxiv.org
… in this study. Having obtained the features and to identify clusters, this study builds on
Riemannian multi-manifold … Features were extracted by a kernel-based ARMA model, with column …

Riemannian multi-manifold modeling and clustering in brain networks

K Slavakis, S Salsabilian, DS Wack… - … and Sparsity XVII, 2017 - spiedigitallibrary.org
Grassmann manifold. The second one utilizes (non-linear) dependencies among network
nodes by introducing kernel-based … within the brain network is dynamic, and two or more brain

EEG classification based on Grassmann manifold and matrix recovery

X Li, Y Qiao, L Duan, J Miao - Biomedical Signal Processing and Control, 2024 - Elsevier
Grassmann manifold. Firstly, a low rank representation method based on matrix recovery is
introduced into the Grassmann manifold … Then a deep neural network is proposed to reduce …

[PDF][PDF] Modelling effective brain connectivity using manifolds in optical functional neuroimaging

SMA Sansores, FO Espina, GR Gómez - 2016 - ccc.inaoep.mx
… aims to develop a new manifold-based modelling approach for the causal analysis of …
Kernel-based analysis of functional brain connectivity on grassmann manifold. In N. Navab, …

Clustering brain-network time series by Riemannian geometry

K Slavakis, S Salsabilian, DS Wack… - … on Signal and …, 2017 - ieeexplore.ieee.org
… into the Grassmann manifold. The second one utilizes (non-linear) dependencies … network
nodes by introducing kernel-based partial correlations to generate points in the manifold of …

Clustering time-varying connectivity networks by Riemannian geometry: The brain-network case

K Slavakis, S Salsabilian, DS Wack… - 2016 IEEE Statistical …, 2016 - ieeexplore.ieee.org
… of network dynamics on Riemannian manifoldsmanifold of positive (semi-)definite symmetric
matrices, while low-rank linear subspaces can be considered as points of the Grassmannian

Scalable Bayesian inference for heat kernel Gaussian processes on manifolds

J He, G Ma, J Kang, Y Yang - arXiv preprint arXiv:2405.13342, 2024 - arxiv.org
… In this section, we compare the performance of various kernel-based approaches. Besides
FLGP, we consider GPs with radial basis function kernels (RBF), kernel support vector …

Interpolated functional manifold for functional near-infrared spectroscopy analysis at group level

SM Ávila-Sansores, G Rodríguez-Gómez… - …, 2020 - spiedigitallibrary.org
… Each group is assigned an adjacency matrix that represents the underpinning groupwise
functional brain connectivity graph. The nodes represent the observed channels, and those …

Geodesic clustering of positive definite matrices for classification of mental disorder using brain functional connectivity

MA Yamin, J Tessadori, MU Akbar… - … joint conference on …, 2020 - ieeexplore.ieee.org
… “Kernelbased classification for brain connectivity graphs on the Riemannian manifold of
positive definite matrices”. … on Grassmann Manifold“. In MICCAI 2015. Lecture Notes in CS, vol. …