[HTML][HTML] 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 …

A look at Gaussian mixture reduction algorithms

DF Crouse, P Willett, K Pattipati… - … on Information Fusion, 2011 - ieeexplore.ieee.org
We review the literature and look at two of the best algorithms for Gaussian mixture
reduction, the GMRC (Gaussian Mixture Reduction via Clustering) and the COWA …

Finite mixture modeling in time series: A survey of Bayesian filters and fusion approaches

T Li, H Liang, B Xiao, Q Pan, Y He - Information Fusion, 2023 - Elsevier
From the celebrated Gaussian mixture, model averaging estimators to the cutting-edge multi-
Bernoulli mixture of various forms, finite mixture models offer a fundamental and flexible …

[HTML][HTML] Approximate representations for multi-robot control policies that maximize mutual information

B Charrow, V Kumar, N Michael - Autonomous Robots, 2014 - Springer
We address the problem of controlling a small team of robots to estimate the location of a
mobile target using non-linear range-only sensors. Our control law maximizes the mutual …

Product importance sampling for light transport path guiding

S Herholz, O Elek, J Vorba, H Lensch… - Computer Graphics …, 2016 - Wiley Online Library
Abstract The efficiency of Monte Carlo algorithms for light transport simulation is directly
related to their ability to importance‐sample the product of the illumination and reflectance in …

Stochastic monitoring of distribution networks including correlated input variables

G Valverde, AT Saric, V Terzija - IEEE Transactions on Power …, 2012 - ieeexplore.ieee.org
The evolving complexity of distribution networks with higher levels of uncertainties is a new
challenge faced by system operators. This paper introduces the use of Gaussian mixtures …

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 …

On generalized covariance intersection for distributed PHD filtering and a simple but better alternative

T Li, JM Corchado, S Sun - 2017 20th International Conference …, 2017 - ieeexplore.ieee.org
Some concerns are raised on the prevailing generalized covariance intersection (GCI)
based Gaussian mixture probability hypothesis density (GM-PHD) fusion for distributed …

Road intensity based mapping using radar measurements with a probability hypothesis density filter

C Lundquist, L Hammarstrand… - IEEE Transactions on …, 2010 - ieeexplore.ieee.org
Mapping stationary objects is essential for autonomous vehicles and many autonomous
functions in vehicles. In this contribution the probability hypothesis density (PHD) filter …

Gaussian mixture reduction via clustering

D Schieferdecker, MF Huber - 2009 12th international …, 2009 - ieeexplore.ieee.org
Recursive processing of Gaussian mixture functions inevitably leads to a large number of
mixture components. In order to keep the computational complexity at a feasible level, the …