Bayesian ODE solvers: the maximum a posteriori estimate

F Tronarp, S Särkkä, P Hennig - Statistics and Computing, 2021 - Springer
There is a growing interest in probabilistic numerical solutions to ordinary differential
equations. In this paper, the maximum a posteriori estimate is studied under the class of ν ν …

SSGCNet: A sparse spectra graph convolutional network for epileptic EEG signal classification

J Wang, R Gao, H Zheng, H Zhu… - IEEE Transactions on …, 2023 - ieeexplore.ieee.org
In this article, we propose a sparse spectra graph convolutional network (SSGCNet) for
epileptic electroencephalogram (EEG) signal classification. The goal is to develop a …

Parallel-in-Time Probabilistic Numerical ODE Solvers

N Bosch, A Corenflos, F Yaghoobi, F Tronarp… - Journal of Machine …, 2024 - jmlr.org
Probabilistic numerical solvers for ordinary differential equations (ODEs) treat the numerical
simulation of dynamical systems as problems of Bayesian state estimation. Aside from …

Sparse graphical linear dynamical systems

E Chouzenoux, V Elvira - arXiv preprint arXiv:2307.03210, 2023 - arxiv.org
Time-series datasets are central in numerous fields of science and engineering, such as
biomedicine, Earth observation, and network analysis. Extensive research exists on state …

Partial least median of squares regression

Z Xie, X Feng, L Li, X Chen - Journal of Chemometrics, 2022 - Wiley Online Library
In modern data analysis, there is an increasing availability of datasets with numerous
variables. Linear models that deal with abundant predictor variables often have poor …

Empirically comparing magnetic needle steering models using expectation-maximization

RL Pratt, AJ Petruska - Robotics, 2022 - mdpi.com
Straight-line needle insertion is a prevalent tool in surgical interventions in the brain, such as
Deep Brain Stimulation and Convection-Enhanced Delivery, that treat a range of conditions …

An improved smooth variable structure filter for robust target tracking

Y Chen, L Xu, G Wang, B Yan, J Sun - Remote Sensing, 2021 - mdpi.com
As a new-style filter, the smooth variable structure filter (SVSF) has attracted significant
interest. Based on the predictor-corrector method and sliding mode concept, the SVSF is …

Observed control of magnetic continuum devices

RL Pratt, BE Suesser, AJ Petruska - Robotics, 2023 - mdpi.com
This paper models an extensible catheter with an embedded magnet at its distal tip subject
to an external magnetic field. We implement a control method coined observed control to …

Autonomous tracking and state estimation with generalized group lasso

R Gao, S Särkkä, R Claveria-Vega… - IEEE Transactions on …, 2021 - ieeexplore.ieee.org
We address the problem of autonomous tracking and state estimation for marine vessels,
autonomous vehicles, and other dynamic signals under a (structured) sparsity assumption …

Explainable Bayesian Recurrent Neural Smoother to Capture Global State Evolutionary Correlations

S Yan, Y Liang, H Zhang, L Zheng, D Zou… - arXiv preprint arXiv …, 2024 - arxiv.org
Through integrating the evolutionary correlations across global states in the bidirectional
recursion, an explainable Bayesian recurrent neural smoother (EBRNS) is proposed for …