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 …

Gaussian Mixture Filtering with Nonlinear Measurements Minimizing Forward Kullback-Leibler Divergence

E Laz, U Orguner - Signal Processing, 2023 - Elsevier
A Gaussian mixture filter is proposed for the state estimation of dynamical systems with
nonlinear measurements. The filter is derived by solving an assumed density filtering …

Learning tree structures from noisy data

KE Nikolakakis, DS Kalogerias… - The 22nd International …, 2019 - proceedings.mlr.press
We provide high-probability sample complexity guarantees for exact structure recovery of
tree-structured graphical models, when only noisy observations of the respective vertex …

Predictive learning on hidden tree-structured Ising models

KE Nikolakakis, DS Kalogerias, AD Sarwate - Journal of Machine Learning …, 2021 - jmlr.org
We provide high-probability sample complexity guarantees for exact structure recovery and
accurate predictive learning using noise-corrupted samples from an acyclic (tree-shaped) …

A short revisit of nonlinear gaussian filters: State-of-the-art and some concerns

T Li, J Prieto, JM Corchado - 2016 IEEE International …, 2016 - ieeexplore.ieee.org
Since the landmark work of the Kalman filter in the 1960s, considerable effort has been
devoted to a variety of novel filters for nonlinear estimation. Among them, the class of …

A probabilistic model-adaptive approach for tracking of motion with heightened uncertainty

JJ Steckenrider, T Furukawa - … Journal of Control, Automation and Systems, 2020 - Springer
This paper presents an approach for state tracking in scenarios where motion is highly
uncertain. The proposed approach improves on traditional Kalman filters by integrating …

Bayesian filter based on grid filtration and its application to Multi-UAV tracking

X Qiang, R Xue, Y Zhu - Signal Processing, 2022 - Elsevier
A filtering method called Grid Filtration Filter (GFF) is proposed based on Bayesian
inference. First, we select the high-probability region of the current state according to the …

Hybrid particle filter based dynamic compressed sensing for signal-level multitarget tracking

J Liu, X Jiang, X Tian, M Mallick, K Huang, C Ma - IEEE Access, 2020 - ieeexplore.ieee.org
We propose a novel algorithm, state propagation based dynamic compressed sensing (SP-
DCS), that uses a target dynamic model in dynamic compressed sensing (DCS) to track a …

Confidence partitioning sampling filtering

X Qiang, R Xue, Y Zhu - EURASIP Journal on Advances in Signal …, 2024 - Springer
The confidence partitioning sampling filter (CPSF) method proposed in this paper is a novel
approach for solving the generic nonlinear filtering problem. First, the confidence probability …

A critical comparison on attitude estimation: From gaussian approximate filters to coordinate‐free dual optimal control

NP Koumpis, PA Panagiotou… - IET Control Theory & …, 2021 - Wiley Online Library
This paper conveys attitude and rate estimation without rate sensors by performing a critical
comparison, validated by extensive simulations. The two dominant approaches to facilitate …