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We consider Bayesian inference for image deblurring with total variation (TV) prior. Since the posterior is analytically intractable, we resort to Markov chain Monte Carlo (MCMC) methods. However, since most MCMC methods significantly…

Numerical Analysis · Mathematics 2025-03-13 Rafael Flock , Shuigen Liu , Yiqiu Dong , Xin T. Tong

We consider the nonlinear Kalman filtering problem using Kullback-Leibler (KL) and $\alpha$-divergence measures as optimization criteria. Unlike linear Kalman filters, nonlinear Kalman filters do not have closed form Gaussian posteriors…

Optimization and Control · Mathematics 2017-11-22 San Gultekin , John Paisley

Off-grid targets whose Doppler (or angle) does not lie on the discrete processing grid can severely degrade classical normalized matched-filter (NMF) detectors: even at high SNR, the detection probability may saturate at operationally…

Signal Processing · Electrical Eng. & Systems 2026-02-17 Yadang Alexis Rouzoumka , Jean Pinsolle , Eugénie Terreaux , Christèle Morisseau , Jean-Philippe Ovarlez , Chengfang Ren

Models with random effects, such as generalised linear mixed models (GLMMs), are often used for analysing clustered data. Parameter inference with these models is difficult because of the presence of cluster-specific random effects, which…

Computation · Statistics 2024-04-19 Bao Anh Vu , David Gunawan , Andrew Zammit-Mangion

This paper addresses the synthesis of slow-time coded waveforms for single target tracking in a radar network operating under colored Gaussian interference. Based on the Posterior Cram\'er Rao Lower Bound (PCRLB), which characterizes the…

Signal Processing · Electrical Eng. & Systems 2025-12-08 Tao Fan , Augusto Aubry , Antonio De Maio , Luca Pallotta , Xianxiang Yu , Guolong Cui

This paper considers the data association problem for multi-target tracking. Multiple hypothesis tracking is a popular algorithm for solving this problem but it is NP-hard and is is quite complicated for a large number of targets or for…

Information Theory · Computer Science 2021-05-05 Haiqi Liu , Xiaojing Shen , Zhiguo Wang , Fanqin Meng , Junfeng Wang , Pramod , Varshney

This paper proposes multi-target filtering algorithms in which target dynamics are given in continuous time and measurements are obtained at discrete time instants. In particular, targets appear according to a Poisson point process (PPP) in…

Computer Vision and Pattern Recognition · Computer Science 2025-02-18 Ángel F. García-Fernández , Simo Särkkä

Multi-Camera Multi-Target (MCMT) tracking aims to locate and associate the same targets across multiple camera views. Existing methods typically adopt a two-stage framework, involving single-camera tracking followed by inter-camera…

Computer Vision and Pattern Recognition · Computer Science 2025-11-26 Yihao Zhen , Mingyue Xu , Qiang Wang , Baojie Fan , Jiahua Dong , Tinghui Zhao , Huijie Fan

The sufficiency of accurate data is a core element in data-centric geotechnics. However, geotechnical datasets are essentially uncertain, whereupon engineers have difficulty with obtaining precise information for making decisions. This…

Signal Processing · Electrical Eng. & Systems 2024-10-31 Changbeom Shim , Youngho Kim , Craig Butterworth

We propose a robust multi-fidelity Gaussian process for integrating sparse, high-quality reference monitors with dense but noisy citizen-science sensors. The approach replaces the Gaussian log-likelihood in the high-fidelity channel with a…

Methodology · Statistics 2025-11-21 Camilla Andreozzi , Pietro Colombo , Philipp Otto

Defining a multi-target motion model, which is an important step of tracking algorithms, can be very challenging. Using fixed models (as in several generative Bayesian algorithms, such as Kalman filters) can fail to accurately predict…

Computer Vision and Pattern Recognition · Computer Science 2019-07-30 Mehryar Emambakhsh , Alessandro Bay , Eduard Vazquez

We propose a novel probabilistic approach to multilevel clustering problems based on composite transportation distance, which is a variant of transportation distance where the underlying metric is Kullback-Leibler divergence. Our method…

Machine Learning · Computer Science 2018-10-30 Nhat Ho , Viet Huynh , Dinh Phung , Michael I. Jordan

In this paper, we derive the robust TPHD (R-TPHD) filter, which can adaptively learn the unknown detection profile history and clutter rate. The R-TPHD filter is derived by obtaining the best Poisson posterior density approximation over…

Signal Processing · Electrical Eng. & Systems 2021-11-09 Shaoxiu Wei , Boxiang Zhang , Wei Yi

This paper presents a measurement driven birth (MDB) model for the generalized labeled multi-Bernoulli (GLMB) filter. The MDB model adaptively generates target births based on measurement data, thereby eliminating the dependence of…

Signal Processing · Electrical Eng. & Systems 2026-04-07 S Lin , BT Vo , SE Nordholm

Consider the problem of tracking a set of moving targets. Apart from the tracking result, it is often important to know where the tracking fails, either to steer sensors to that part of the state-space, or to inform a human operator about…

Artificial Intelligence · Computer Science 2009-11-10 Hedvig Sidenbladh , Pontus Svenson , Johan Schubert

In the next generation of wireless systems, Massive MIMO offers high angular resolution for localization. By virtue of large number of antennas, the Angle of Arrival (AoA) of User Terminals (UTs) can be estimated with high accuracy.…

Information Theory · Computer Science 2021-03-11 Masoud Arash , Hamed Mirghasemi , Ivan Stupia , Luc Vandendorpe

Reliability measures associated with the prediction of the machine learning models are critical to strengthening user confidence in artificial intelligence. Therefore, those models that are able to provide not only predictions, but also…

Information Retrieval · Computer Science 2023-12-22 Ángel González-Prieto , Abraham Gutiérrez , Fernando Ortega , Raúl Lara-Cabrera

Model-based filtering is often carried out while subject to an imperfect model, as learning partially-observable stochastic systems remains a challenge. Recent work on Bayesian inference found that tempering the likelihood or full posterior…

Systems and Control · Electrical Eng. & Systems 2025-12-03 Menno van Zutphen , Domagoj Herceg , Giannis Delimpaltadakis , Duarte J. Antunes

Sampling from the full posterior distribution of high-dimensional non-linear, non-Gaussian latent dynamical models presents significant computational challenges. While Particle Gibbs (also known as conditional sequential Monte Carlo) is…

Computation · Statistics 2025-03-05 Adrien Corenflos , Simo Särkkä

Recent result shows how to compute distributively and efficiently the linear MMSE for the multiuser detection problem, using the Gaussian BP algorithm. In the current work, we extend this construction, and show that operating this algorithm…

Information Theory · Computer Science 2009-04-16 Danny Bickson , Ori Shental , Danny Dolev