Diffusion maps Kalman filter for a class of systems with gradient flows

T Shnitzer, R Talmon, JJ Slotine - IEEE Transactions on Signal …, 2020 - ieeexplore.ieee.org
… We combine diffusion maps, a manifold learning technique, with a linear Kalman filter and
with concepts from Koopman operator theory. More concretely, using diffusion maps, we …

Real-time MR diffusion tensor and Q-ball imaging using Kalman filtering

C Poupon, A Roche, J Dubois, JF Mangin… - Medical Image …, 2008 - Elsevier
… to the two diffusion tensor and analytical Q-ball models of interest. Then, we present the
Kalman filtering framework and we focus on the optimization of the diffusion orientation sets in …

Diffusion map-based algorithm for gain function approximation in the feedback particle filter

A Taghvaei, PG Mehta, SP Meyn - SIAM/ASA Journal on Uncertainty …, 2020 - SIAM
Kalman filter; (ii) particle flow algorithms for nonlinear filtering; and (iii… Ensemble Kalman
filter: The EnKF algorithm was first … Compared to the Kalman filter, the main utility of EnKF is that …

Deep diffusion Kalman filter combining large-scale neuronal networks simulation with multimodal neuroimaging data

W Zhang, W Lu - Mathematics, 2023 - mdpi.com
… Therefore, we want to adjust the information weight of sensors by modifying the diffusion
matrix C; that is our motivation behind putting forward the deep diffusion Kalman filter (DDKF). …

Diffusion Maps Particle Filter

L Forster, A Schmidt, W Kellermann… - 2019 27th European …, 2019 - ieeexplore.ieee.org
… This progress poses significant challenges to classical parametric techniques, such as
the seminal Kalman filter (KF) [1], since their prototypical linear and Gaussian models do not …

Novel diffusion tractography methodology using Kalman filter prediction to improve preoperative benefit-risk analysis in pediatric epilepsy surgery

MH Lee, NB O'Hara, H Motoi, AF Luat… - Journal of …, 2019 - thejns.org
… OBJECTIVE In this study the authors investigated the clinical reliability of diffusion weighted
imaging maximum a posteriori probability (DWI-MAP) analysis with Kalman filter prediction …

Kalman filtering for reliable estimation of BBB permeability

S Taheri, R Sood - Magnetic resonance imaging, 2006 - Elsevier
… The Kalman filter works to extract … Kalman filter, an adaptive filter technique, has been
applied to MRI data, allowing an optimal estimation of permeability coefficient. The Kalman filter is …

Real-time MR diffusion tensor and Q-ball imaging using Kalman filtering

C Poupon, F Poupon, A Roche, Y Cointepas… - … Conference on Medical …, 2007 - Springer
… Then we focus on the optimization of the diffusion gradient orientation set in section 2.3…
diffusion Kalman filter in order to process incremental connectivity maps during ongoing diffusion

Analysis of the feedback particle filter with diffusion map based approximation of the gain

S Pathiraja, W Stannat - arXiv preprint arXiv:2109.02761, 2021 - arxiv.org
… approximations to the sequential Bayesian filtering problem in the nonlinear setting. … filter
and a recently proposed approximation of the associated gain function based on diffusion maps

Partial diffusion Kalman filter with adaptive combiners

A Khalili, V Vahidpour, A Rastegarnia… - … on Aerospace and …, 2020 - ieeexplore.ieee.org
… Adaptive estimation of optimal combination weights for partialdiffusion Kalman filtering
together with its mean convergence and stability analysis is proposed here. The simulations …