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We consider the problem of estimating the sparse time-varying parameter vectors of a point process model in an online fashion, where the observations and inputs respectively consist of binary and continuous time series. We construct a novel…

Neural and Evolutionary Computing · Computer Science 2016-04-20 Alireza Sheikhattar , Jonathan B. Fritz , Shihab A. Shamma , Behtash Babadi

The Poisson Multi-Bernoulli Mixture (PMBM) density is a conjugate multi-target density for the standard point target model with Poisson point process birth. This means that both the filtering and predicted densities for the set of targets…

Signal Processing · Electrical Eng. & Systems 2024-12-17 Karl Granström , Lennart Svensson , Yuxuan Xia , Jason Williams , Ángel F. García-Fernández

This paper presents the probability hypothesis density (PHD) filter for sets of trajectories: the trajectory probability density (TPHD) filter. The TPHD filter is capable of estimating trajectories in a principled way without requiring to…

Applications · Statistics 2018-09-14 Ángel F. García-Fernández , Lennart Svensson

The intensity matching approach for tractable performance evaluation and optimization of cellular networks is introduced. It assumes that the base stations are modeled as points of a Poisson point process and leverages stochastic geometry…

Information Theory · Computer Science 2016-04-12 Marco Di Renzo , Wei Lu , Peng Guan

The probability hypothesis density (PHD) filter alleviates the computational expense of the optimal Bayesian multi-target filtering by approximating the intensity function of the random finite set (RFS) of targets in time. However, as a…

Applications · Statistics 2015-06-09 Meysam R. Danaee

We present a novel Bayesian framework for inverse problems in which the pos terior distribution is interpreted as the intensity measure of a Poisson point process (PPP). The posterior density is approximated using kernel density estimation,…

Numerical Analysis · Mathematics 2025-10-08 Zhiliang Deng , Zhiyuan Wang , Xiaomei Yang , Xiaofei Guan

Recent works in multiple object tracking use sequence model to calculate the similarity score between the detections and the previous tracklets. However, the forced exposure to ground-truth in the training stage leads to the…

Computer Vision and Pattern Recognition · Computer Science 2020-03-06 Tao Hu , Lichao Huang , Han Shen

We consider multitarget detection and tracking problem for a class of multipath detection system where one target may generate multiple measurements via multiple propagation paths, and the association relationship among targets,…

Computer Vision and Pattern Recognition · Computer Science 2018-12-12 Hua Lan , Shuai Sun , Zengfu Wang , Quan Pan , Zhishan Zhang

Optimization constrained by high-fidelity computational models has potential for transformative impact. However, such optimization is frequently unattainable in practice due to the complexity and computational intensity of the model. An…

Numerical Analysis · Mathematics 2024-06-04 Joseph Hart , Bart van Bloemen Waanders

Many multi-object estimation problems require additional estimation of model or sensor parameters that are either common to all objects or related to unknown characterisation of one or more sensors. Important examples of these include…

Statistics Theory · Mathematics 2017-05-16 Isabel Schlangen , Daniel E. Clark , Emmanuel D. Delande

Given a sample from a discretely observed multidimensional compound Poisson process, we study the problem of nonparametric estimation of its jump size density $r_0$ and intensity $\lambda_0$. We take a nonparametric Bayesian approach to the…

Statistics Theory · Mathematics 2015-06-08 Shota Gugushvili , Frank van der Meulen , Peter Spreij

The Gaussian Mixture Probability Hypothesis Density (GM-PHD) filter is an almost exact closed-form approximation to the Bayes-optimal multi-target tracking algorithm. Due to its optimality guarantees and ease of implementation, it has been…

Signal Processing · Electrical Eng. & Systems 2025-05-20 Shiraz Khan , Yi-Chieh Sun , Inseok Hwang

The Probability Hypothesis Density (PHD) and Cardinalized PHD (CPHD) filters are popular solutions to the multi-target tracking problem due to their low complexity and ability to estimate the number and states of targets in cluttered…

Methodology · Statistics 2018-02-14 Isabel Schlangen , Emmanuel D. Delande , Jeremie Houssineau , Daniel E. Clark

In radar systems, tracking targets in low signal-to-noise ratio (SNR) environments is a very important task. There are some algorithms designed for multitarget tracking. Their performances, however, are not satisfactory in low SNR…

Applications · Statistics 2015-05-30 Huisi Tong , Hao Zhang , Huadong Meng , Xiqin Wang

PHD filtering is a common and effective multiple object tracking (MOT) algorithm used in scenarios where the number of objects and their states are unknown. In scenarios where each object can generate multiple measurements per scan, some…

Computer Vision and Pattern Recognition · Computer Science 2021-09-03 Jakob Sjudin , Martin Marcusson , Lennart Svensson , Lars Hammarstrand

We study the problem of searching for and tracking a collection of moving targets using a robot with a limited Field-Of-View (FOV) sensor. The actual number of targets present in the environment is not known a priori. We propose a search…

Robotics · Computer Science 2021-05-11 Yoonchang Sung , Pratap Tokekar

Object triangulation, 3-D object tracking, feature correspondence, and camera calibration are key problems for estimation from camera networks. This paper addresses these problems within a unified Bayesian framework for joint multi-object…

Computer Vision and Pattern Recognition · Computer Science 2014-10-10 Jeremie Houssineau , Daniel Clark , Spela Ivekovic , Chee Sing Lee , Jose Franco

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

A fixed-confidence, finite-sample problem of active hypothesis testing arises in many safety-critical applications. Situated in the context of sequential hypothesis testing, this paper studies the effect of hypothesis elimination on the…

Machine Learning · Computer Science 2026-05-05 Ziyuan Lin , Hoang Ngoc Nguyen , Jie Xu , Ivan Ruchkin

In this paper, we propose a Poisson multi-Bernoulli (PMB) filter for extended object tracking (EOT), which directly estimates the set of object trajectories, using belief propagation (BP). The proposed filter propagates a PMB density on the…

Signal Processing · Electrical Eng. & Systems 2023-09-20 Yuxuan Xia , Ángel F. García-Fernández , Florian Meyer , Jason L. Williams , Karl Granström , Lennart Svensson