Industrial applications of the Kalman filter: A review

F Auger, M Hilairet, JM Guerrero… - IEEE Transactions …, 2013 - ieeexplore.ieee.org
The Kalman filter (KF) has received a huge interest from the industrial electronics community
and has played a key role in many engineering fields since the 1970s, ranging, without …

Approximate Gaussian conjugacy: parametric recursive filtering under nonlinearity, multimodality, uncertainty, and constraint, and beyond

T Li, J Su, W Liu, JM Corchado - Frontiers of Information Technology & …, 2017 - Springer
Since the landmark work of RE Kalman in the 1960s, considerable efforts have been
devoted to time series state space models for a large variety of dynamic estimation …

Sparse-grid quadrature nonlinear filtering

B Jia, M **n, Y Cheng - Automatica, 2012 - Elsevier
In this paper, a novel nonlinear filter named Sparse-grid Quadrature Filter (SGQF) is
proposed. The filter utilizes weighted sparse-grid quadrature points to approximate the multi …

A Gaussian-sum based cubature Kalman filter for bearings-only tracking

PH Leong, S Arulampalam… - … on Aerospace and …, 2013 - ieeexplore.ieee.org
Herein is presented an efficient nonlinear filtering algorithm called the Gaussian-sum
cubature Kalman filter (GSCKF) for the bearings-only tracking problem. It is developed …

A gated recurrent unit-based particle filter for unmanned underwater vehicle state estimation

C Lin, H Wang, M Fu, J Yuan… - IEEE Transactions on …, 2020 - ieeexplore.ieee.org
Target state estimation is a key technology for unmanned underwater vehicles (UUVs) to
achieve target tracking, collision avoiding, formation control, and other tasks. Compared with …

Discrete and continuous, probabilistic anticipation for autonomous robots in urban environments

F Havlak, M Campbell - IEEE Transactions on Robotics, 2013 - ieeexplore.ieee.org
This paper develops a probabilistic anticipation algorithm for dynamic objects observed by
an autonomous robot in an urban environment. Predictive Gaussian mixture models are …

Model selection in systems biology depends on experimental design

D Silk, PDW Kirk, CP Barnes, T Toni… - PLoS computational …, 2014 - journals.plos.org
Experimental design attempts to maximise the information available for modelling tasks. An
optimal experiment allows the inferred models or parameters to be chosen with the highest …

Nonlinearity and Uncertainty Informed Moment-Matching Gaussian Mixture Splitting

J Kulik, KA LeGrand - arxiv preprint arxiv:2412.00343, 2024 - arxiv.org
Many problems in navigation and tracking require increasingly accurate characterizations of
the evolution of uncertainty in nonlinear systems. Nonlinear uncertainty propagation …

An adaptive Gaussian mixture method for nonlinear uncertainty propagation in neural networks

B Zhang, YC Shin - Neurocomputing, 2021 - Elsevier
Using neural networks to address data-driven problems often entails dealing with
uncertainties. However, the propagation of uncertainty through a network's nonlinear layers …

Basic tracking using nonlinear 3D monostatic and bistatic measurements

D Crouse - IEEE Aerospace and Electronic Systems Magazine, 2014 - ieeexplore.ieee.org
Monostatic and bistatic position and Doppler measurements used in radar and sonar
systems are nonlinear transformations of a Cartesian state. These nonlinearities pose a …