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This paper proposes a visual multi-object tracking method that jointly employs stochastic and deterministic mechanisms to ensure identifier consistency for unknown and time-varying target numbers under nonlinear dynamics. A stochastic…

Computer Vision and Pattern Recognition · Computer Science 2026-02-11 Toan Van Nguyen , Rasmus G. K. Christiansen , Dirk Kraft , Leon Bodenhagen

Differential equations are pivotal in modeling and understanding the dynamics of various systems, offering insights into their future states through parameter estimation fitted to time series data. In fields such as economy, politics, and…

Machine Learning · Statistics 2024-04-24 Hyeontae Jo , Sung Woong Cho , Hyung Ju Hwang

Despite their theoretical advantages, track-before-detect (TBD) methods remain largely absent from real-world multi-target tracking applications due to their computational complexity and limited scalability. This paper presents a scalable…

Signal Processing · Electrical Eng. & Systems 2025-08-25 Lukas Herrmann , Ángel F. García-Fernández , Edmund F. Brekke , Egil Eide

Tracking an unknown number of low-observable objects is notoriously challenging. This letter proposes a sequential Bayesian estimation method based on the track-before-detect (TBD) approach. In TBD, raw sensor measurements are directly used…

Signal Processing · Electrical Eng. & Systems 2023-07-04 Mingchao Liang , Thomas Kropfreiter , Florian Meyer

With the development of big data and artificial intelligence, the technology of urban computing becomes more mature and widely used. In urban computing, using GPS-based trajectory data to discover urban dense areas, extract similar urban…

Other Computer Science · Computer Science 2019-07-08 Yang Cao , Jingling Yuan , Song Xiao , Qing Xie

Trajectory prediction has gained great attention and significant progress has been made in recent years. However, most works rely on a key assumption that each video is successfully preprocessed by detection and tracking algorithms and the…

Computer Vision and Pattern Recognition · Computer Science 2022-03-17 Ryo Fujii , Jayakorn Vongkulbhisal , Ryo Hachiuma , Hideo Saito

Multi-object tracking (MOT) is a challenging practical problem for vision based applications. Most recent approaches for MOT use precomputed detections from models such as Faster RCNN, performing fine-tuning of bounding boxes and…

Computer Vision and Pattern Recognition · Computer Science 2020-11-10 Parthesh Soni , Falak Shah , Nisarg Vyas

Target tracking entails the estimation of the evolution of the target state over time, namely the target trajectory. Different from the classical state space model, our series of studies, including this paper, model the collection of the…

Systems and Control · Electrical Eng. & Systems 2026-01-13 Tiancheng Li , Yan Song , Guchong Li , Hao Li

Robust tracking of a target in a clutter environment is an important and challenging task. In recent years, the nearest neighbor methods and probabilistic data association filters were proposed. However, the performance of these methods…

Machine Learning · Computer Science 2020-12-18 Bahman Moraffah , Christ Richmond , Raha Moraffah , Antonia Papandreou-Suppappola

Density peaks clustering (DP) has the ability of detecting clusters of arbitrary shape and clustering non-Euclidean space data, but its quadratic complexity in both computing and storage makes it difficult to scale for big data. Various…

Machine Learning · Computer Science 2024-06-19 Ji Xu , Tianlong Xiao , Jinye Yang , Panpan Zhu

This paper is a sequel of the 2019 paper [5]. It demonstrates the following: a) the Poisson multi-Bernoulli mixture (PMBM) approach to detected vs. undetected (U/D) targets cannot be rigorously formulated using either the two-step or…

Methodology · Statistics 2025-01-22 Ronald Mahler

Clustering high-dimensional data is especially challenging when cluster distributions are heavy tailed and only approximately elliptical. Existing high-dimensional methods are largely built for Gaussian or other light-tailed models, whereas…

Methodology · Statistics 2026-05-12 Long Feng , Dan Zhuang

This work aims at making a comprehensive contribution in the general area of parametric inference for discretely observed diffusion processes. Established approaches for likelihood-based estimation invoke a time-discretisation scheme for…

Methodology · Statistics 2024-01-30 Yuga Iguchi , Alexandros Beskos , Matthew M. Graham

This paper proposes an efficient implementation of the Poisson multi-Bernoulli mixture (PMBM) trajectory filter. The proposed implementation performs track-oriented N-scan pruning to limit complexity, and uses dual decomposition to solve…

Signal Processing · Electrical Eng. & Systems 2018-11-30 Yuxuan Xia , Karl Granström , Lennart Svensson , Ángel F. García-Fernández

Trajectory prediction facilitates effective planning and decision-making, while constrained trajectory prediction integrates regulation into prediction. Recent advances in constrained trajectory prediction focus on structured constraints by…

Robotics · Computer Science 2025-03-19 Hao Ma , Zhiqiang Pu , Shijie Wang , Boyin Liu , Huimu Wang , Yanyan Liang , Jianqiang Yi

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

This paper focuses on the joint multi-object tracking (MOT) and the estimate of detection probability with the \emph{Poisson multi-Bernoulli mixture} (PMBM) filter. In a majority of multi-object scenarios, the knowledge of detection…

Systems and Control · Electrical Eng. & Systems 2019-09-24 Guchong Li

We propose a particle-based distributed PHD filter for tracking an unknown, time-varying number of targets. To reduce communication, the local PHD filters at neighboring sensors communicate Gaussian mixture (GM) parameters. In contrast to…

Systems and Control · Computer Science 2021-04-21 Tiancheng Li , Franz Hlawatsch

The family of pointillist multitarget tracking filters is defined to be the class of filters that is characterized by a joint target-measurement finite point process. The probability generating functional (PGFL) of the joint process is…

Applications · Statistics 2015-06-22 Roy Streit , Christoph Degen , Wolfgang Koch

Even though clustering trajectory data attracted considerable attention in the last few years, most of prior work assumed that moving objects can move freely in an euclidean space and did not consider the eventual presence of an underlying…

Machine Learning · Computer Science 2012-10-04 Mohamed Khalil El Mahrsi , Fabrice Rossi
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