Network clustering via kernel-ARMA modeling and the Grassmannian: The brain-network case
… 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 …
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 … Features were extracted by a kernel-based ARMA model, with column …
Riemannian multi-manifold modeling and clustering in brain networks
… 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 …
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 …
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
… 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, …
Kernel-based analysis of functional brain connectivity on grassmann manifold. In N. Navab, …
Clustering brain-network time series by Riemannian geometry
… 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 …
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
… of network dynamics on Riemannian manifolds… manifold of positive (semi-)definite symmetric
matrices, while low-rank linear subspaces can be considered as points of the Grassmannian…
matrices, while low-rank linear subspaces can be considered as points of the Grassmannian…
Scalable Bayesian inference for heat kernel Gaussian processes on manifolds
… 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 …
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 …
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
… “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. …
positive definite matrices”. … on Grassmann Manifold“. In MICCAI 2015. Lecture Notes in CS, vol. …