A review of multiple try MCMC algorithms for signal processing

L Martino - Digital Signal Processing, 2018 - Elsevier
Many applications in signal processing require the estimation of some parameters of interest
given a set of observed data. More specifically, Bayesian inference needs the computation …

Robust unscented Kalman filter with adaptation of process and measurement noise covariances

W Li, S Sun, Y Jia, J Du - Digital Signal Processing, 2016 - Elsevier
Unscented Kalman filter (UKF) has been extensively used for state estimation of nonlinear
stochastic systems, which suffers from performance degradation and even divergence when …

Group importance sampling for particle filtering and MCMC

L Martino, V Elvira, G Camps-Valls - Digital Signal Processing, 2018 - Elsevier
Bayesian methods and their implementations by means of sophisticated Monte Carlo
techniques have become very popular in signal processing over the last years. Importance …

Metropolis sampling

L Martino, V Elvira - arxiv preprint arxiv:1704.04629, 2017 - arxiv.org
Monte Carlo (MC) sampling methods are widely applied in Bayesian inference, system
simulation and optimization problems. The Markov Chain Monte Carlo (MCMC) algorithms …

Lattice Gaussian sampling by Markov chain Monte Carlo: Bounded distance decoding and trapdoor sampling

Z Wang, C Ling - IEEE Transactions on Information Theory, 2019 - ieeexplore.ieee.org
Sampling from the lattice Gaussian distribution plays an important role in various research
fields. In this paper, the Markov chain Monte Carlo (MCMC)-based sampling technique is …

Weighting a resampled particle in Sequential Monte Carlo

L Martino, V Elvira, F Louzada - 2016 IEEE Statistical Signal …, 2016 - ieeexplore.ieee.org
The Sequential Importance Resampling (SIR) method is the core of the Sequential Monte
Carlo (SMC) algorithms (aka, particle filters). In this work, we point out a suitable choice for …

Issues in the multiple try Metropolis mixing

L Martino, F Louzada - Computational Statistics, 2017 - Springer
Abstract The Multiple Try Metropolis (MTM) algorithm is an advanced MCMC technique
based on drawing and testing several candidates at each iteration of the algorithm. One of …

Combining particle MCMC with Rao-Blackwellized Monte Carlo data association for parameter estimation in multiple target tracking

J Kokkala, S Särkkä - Digital Signal Processing, 2015 - Elsevier
We consider state and parameter estimation in multiple target tracking problems with data
association uncertainties and unknown number of targets. We show how the problem can be …

Kernel Smoothing Conditional Particle Filter with Ancestor Sampling

S El Kolei, F Navarro - IEEE Transactions on Signal Processing, 2024 - ieeexplore.ieee.org
We introduce a new method for simultaneous estimation of parameters and latent process
dynamics in nonlinear and non-Gaussian state space models. Combining kernel smoothing …

Convergence rate of multiple-try Metropolis independent sampler

X Yang, JS Liu - Statistics and Computing, 2023 - Springer
The multiple-try Metropolis method is an interesting extension of the classical Metropolis–
Hastings algorithm. However, theoretical understanding about its usefulness and …